- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: f6MBTZ0i5c0EHm3c3VD7_0, bodu=5, $$7 - 10 + 10 - 10=\textcolor{white}{-3}$$return {
["body"] = 5,
["id"] = "T8pBc5_0513_0018",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "\\frac{-3}{1}",
["typ"] = "cislo" },
["tex"] = "-3",
["tex_float"] = "-3",
["x"] = -3 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "7 - 10",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "10 - 10",
["typ"] = "minus" },
["render"] = "7 - 10 + 10 - 10",
["typ"] = "plus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.01, bodu=10, $$(\frac{\frac{-9}{7}}{(7 - 7)^3 + 3})^2=\textcolor{white}{\frac{9}{49}}$$return {
["body"] = 10,
["id"] = "dMDavv_0513_0018",
["obtiznost"] = 0.0336,
["reseni"] = {
["float"] = 0.18367346938776,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 49 },
["render"] = "\\frac{9}{49}",
["typ"] = "cislo" },
["tex"] = "\\frac{9}{49}",
["y"] = 9,
["z"] = 49 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.01",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{7}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 - 7",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(7 - 7)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(7 - 7)^3 + 3",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{-9}{7}}{(7 - 7)^3 + 3}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{\\frac{-9}{7}}{(7 - 7)^3 + 3})^2",
["typ"] = "mocnina" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.02, bodu=10, $$\frac{\frac{9}{10}}{-6 - 7}=\textcolor{white}{-\frac{9}{130}}$$return {
["body"] = 10,
["id"] = "OhyiYR_0513_0018",
["obtiznost"] = 0.02,
["reseni"] = {
["float"] = -0.069230769230769,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 130 },
["render"] = "\\frac{9}{-130}",
["typ"] = "cislo" },
["tex"] = "-\\frac{9}{130}",
["y"] = -9,
["z"] = 130 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{9}{10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-6 - 7",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{9}{10}}{-6 - 7}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.03, bodu=6, $$9 - 5 + (6 + 7)^2 + 7=\textcolor{white}{180}$$return {
["body"] = 6,
["id"] = "KGcZ4l_0513_0018",
["obtiznost"] = 0.098,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 180,
["jmenovatel"] = 1 },
["render"] = "\\frac{180}{1}",
["typ"] = "cislo" },
["tex"] = "180",
["tex_float"] = "180",
["x"] = 180 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "9 - 5",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 + 7",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(6 + 7)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(6 + 7)^2 + 7",
["typ"] = "plus" },
["render"] = "9 - 5 + (6 + 7)^2 + 7",
["typ"] = "plus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.04, bodu=20, $$\frac{1\frac{2}{3}}{4} - (-7) + 7=\textcolor{white}{14\frac{5}{12}}$$return {
["body"] = 20,
["id"] = "tvJEGY_0513_0018",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = 14.416666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 173,
["jmenovatel"] = 12 },
["render"] = "\\frac{173}{12}",
["typ"] = "cislo" },
["tex"] = "14\\frac{5}{12}",
["x"] = 14,
["y"] = 5,
["z"] = 12 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.04",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{3}}{4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{3}}{4} - (-7)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{3}}{4} - (-7) + 7",
["typ"] = "plus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.05, bodu=5, $$3 \cdot (7 + 7 + 3 + 7)=\textcolor{white}{72}$$return {
["body"] = 5,
["id"] = "WRB0W6_0513_0018",
["obtiznost"] = 0.05,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 72,
["jmenovatel"] = 1 },
["render"] = "\\frac{72}{1}",
["typ"] = "cislo" },
["tex"] = "72",
["x"] = 72 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3 + 7",
["typ"] = "plus" },
["render"] = "7 + 3 + 7",
["typ"] = "plus" },
["render"] = "7 + 7 + 3 + 7",
["typ"] = "plus" },
["render"] = "(7 + 7 + 3 + 7)",
["typ"] = "zavorka" },
["render"] = "3 \\cdot (7 + 7 + 3 + 7)",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.06, bodu=5, $$8 - 8 + 10 - 7=\textcolor{white}{3}$$return {
["body"] = 5,
["id"] = "1gocjH_0513_0018",
["obtiznost"] = 0.06,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "\\frac{3}{1}",
["typ"] = "cislo" },
["tex"] = "3",
["x"] = 3 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 - 8",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 - 7",
["typ"] = "minus" },
["render"] = "8 - 8 + 10 - 7",
["typ"] = "plus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.07, bodu=11, $$(4 + \frac{7}{9 - 11})^2=\textcolor{white}{0{,}25}$$return {
["body"] = 11,
["id"] = "3uF3ri_0513_0018",
["obtiznost"] = 0.072,
["reseni"] = {
["float"] = 0.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 4 },
["render"] = "\\frac{1}{4}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{4}",
["tex_float"] = "0{,}25",
["y"] = 1,
["z"] = 4 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.07",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["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"] = "minus" },
["render"] = "\\frac{7}{9 - 11}",
["typ"] = "lomeno" },
["render"] = "4 + \\frac{7}{9 - 11}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(4 + \\frac{7}{9 - 11})^2",
["typ"] = "mocnina" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.08, bodu=23, $$6 \cdot 4 + 4\frac{4}{5} - 4=\textcolor{white}{24{,}8}$$return {
["body"] = 23,
["id"] = "hCyvlN_0513_0018",
["obtiznost"] = 0.28,
["reseni"] = {
["float"] = 24.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 124,
["jmenovatel"] = 5 },
["render"] = "\\frac{124}{5}",
["typ"] = "cislo" },
["tex"] = "24\\frac{4}{5}",
["tex_float"] = "24{,}8",
["x"] = 24,
["y"] = 4,
["z"] = 5 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "6 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{5} - 4",
["typ"] = "minus" },
["render"] = "6 \\cdot 4 + 4\\frac{4}{5} - 4",
["typ"] = "plus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.09, bodu=6, $$-4 + 10 + 9 \cdot 8=\textcolor{white}{78}$$return {
["body"] = 6,
["id"] = "MKxTLB_0513_0018",
["obtiznost"] = 0.09,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 78,
["jmenovatel"] = 1 },
["render"] = "\\frac{78}{1}",
["typ"] = "cislo" },
["tex"] = "78",
["x"] = 78 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.09",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-4 + 10",
["typ"] = "plus" },
["c2"] = {
["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" },
["render"] = "-4 + 10 + 9 \\cdot 8",
["typ"] = "plus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.1, bodu=14, $$(\frac{10 - 3}{6})^2 \cdot 4=\textcolor{white}{5\frac{4}{9}}$$return {
["body"] = 14,
["id"] = "unLk8b_0513_0018",
["obtiznost"] = 0.134,
["reseni"] = {
["float"] = 5.4444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 9 },
["render"] = "\\frac{196}{36}",
["typ"] = "cislo" },
["tex"] = "5\\frac{4}{9}",
["x"] = 5,
["y"] = 4,
["z"] = 9 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.1",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "10 - 3",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{10 - 3}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10 - 3}{6})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(\\frac{10 - 3}{6})^2 \\cdot 4",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.11, bodu=13, $$\frac{5}{\frac{-10}{6}}=\textcolor{white}{-3}$$return {
["body"] = 13,
["id"] = "i8UFNX_0513_0018",
["obtiznost"] = 0.11,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "\\frac{15}{-5}",
["typ"] = "cislo" },
["tex"] = "-3",
["x"] = -3 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.11",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{6}",
["typ"] = "lomeno" },
["render"] = "\\frac{5}{\\frac{-10}{6}}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.12, bodu=6, $$8 - (-6 \cdot 7 + (-11))=\textcolor{white}{61}$$return {
["body"] = 6,
["id"] = "t4wwUO_0513_0018",
["obtiznost"] = 0.12,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 1 },
["render"] = "\\frac{61}{1}",
["typ"] = "cislo" },
["tex"] = "61",
["x"] = 61 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.12",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 7 + (-11)",
["typ"] = "plus" },
["render"] = "(-6 \\cdot 7 + (-11))",
["typ"] = "zavorka" },
["render"] = "8 - (-6 \\cdot 7 + (-11))",
["typ"] = "minus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.13, bodu=24, $$(\frac{7}{4})^3 \cdot 10=\textcolor{white}{53\frac{19}{32}}$$return {
["body"] = 24,
["id"] = "mBbvWH_0513_0018",
["obtiznost"] = 0.2928,
["reseni"] = {
["float"] = 53.59375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1715,
["jmenovatel"] = 32 },
["render"] = "\\frac{3430}{64}",
["typ"] = "cislo" },
["tex"] = "53\\frac{19}{32}",
["x"] = 53,
["y"] = 19,
["z"] = 32 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.13",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{7}{4}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{7}{4})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(\\frac{7}{4})^3 \\cdot 10",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.14, bodu=67, $$-10 - (\frac{1\frac{3}{7}}{4\frac{1}{7}} - 3\frac{2}{6})=\textcolor{white}{-7\frac{1}{87}}$$return {
["body"] = 67,
["id"] = "QHtyTG_0513_0018",
["obtiznost"] = 0.74,
["reseni"] = {
["float"] = -7.0114942528736,
["objekt"] = {
["hodnota"] = {
["citatel"] = -610,
["jmenovatel"] = 87 },
["render"] = "\\frac{-610}{87}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{1}{87}",
["x"] = -7,
["y"] = 1,
["z"] = 87 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.14",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{7}}{4\\frac{1}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{7}}{4\\frac{1}{7}} - 3\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "(\\frac{1\\frac{3}{7}}{4\\frac{1}{7}} - 3\\frac{2}{6})",
["typ"] = "zavorka" },
["render"] = "-10 - (\\frac{1\\frac{3}{7}}{4\\frac{1}{7}} - 3\\frac{2}{6})",
["typ"] = "minus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.15, bodu=28, $$4\frac{5}{9} - 10 - (5 - 9)=\textcolor{white}{-1\frac{4}{9}}$$return {
["body"] = 28,
["id"] = "8GXC0J_0513_0018",
["obtiznost"] = 0.35,
["reseni"] = {
["float"] = -1.4444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 9 },
["render"] = "\\frac{-13}{9}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{4}{9}",
["x"] = -1,
["y"] = 4,
["z"] = 9 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.15",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "5 - 9",
["typ"] = "minus" },
["render"] = "(5 - 9)",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{9} - 10 - (5 - 9)",
["typ"] = "minus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.16, bodu=15, $$\frac{\frac{10}{-8}}{10}=\textcolor{white}{-0{,}125}$$return {
["body"] = 15,
["id"] = "JhQnE9_0513_0018",
["obtiznost"] = 0.16,
["reseni"] = {
["float"] = -0.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 8 },
["render"] = "\\frac{-5}{40}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{8}",
["tex_float"] = "-0{,}125",
["y"] = -1,
["z"] = 8 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{10}{-8}}{10}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.17, bodu=58, $$(10 + 4 \cdot (-7 + 4\frac{4}{9}))^3=\textcolor{white}{-\frac{8}{729}}$$return {
["body"] = 58,
["id"] = "6NXhTi_0513_0018",
["obtiznost"] = 0.6648,
["reseni"] = {
["float"] = -0.010973936899863,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 729 },
["render"] = "\\frac{-8}{729}",
["typ"] = "cislo" },
["tex"] = "-\\frac{8}{729}",
["y"] = -8,
["z"] = 729 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.17",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-7 + 4\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "(-7 + 4\\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "4 \\cdot (-7 + 4\\frac{4}{9})",
["typ"] = "krat" },
["render"] = "10 + 4 \\cdot (-7 + 4\\frac{4}{9})",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(10 + 4 \\cdot (-7 + 4\\frac{4}{9}))^3",
["typ"] = "mocnina" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.18, bodu=19, $$\frac{(-9 - 11 + 9)^2}{5}=\textcolor{white}{24{,}2}$$return {
["body"] = 19,
["id"] = "ddfvEf_0513_0018",
["obtiznost"] = 0.2288,
["reseni"] = {
["float"] = 24.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 121,
["jmenovatel"] = 5 },
["render"] = "\\frac{121}{5}",
["typ"] = "cislo" },
["tex"] = "24\\frac{1}{5}",
["tex_float"] = "24{,}2",
["x"] = 24,
["y"] = 1,
["z"] = 5 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.18",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-9 - 11",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-9 - 11 + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-9 - 11 + 9)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{(-9 - 11 + 9)^2}{5}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.19, bodu=8, $$5 \cdot (7 - 4 + 4)=\textcolor{white}{35}$$return {
["body"] = 8,
["id"] = "pAZkw0_0513_0018",
["obtiznost"] = 0.19,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 1 },
["render"] = "\\frac{35}{1}",
["typ"] = "cislo" },
["tex"] = "35",
["x"] = 35 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "7 - 4",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "7 - 4 + 4",
["typ"] = "plus" },
["render"] = "(7 - 4 + 4)",
["typ"] = "zavorka" },
["render"] = "5 \\cdot (7 - 4 + 4)",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.2, bodu=37, $$13 \cdot 6 + (7 - (4\frac{3}{6} + 8))^2=\textcolor{white}{108{,}25}$$return {
["body"] = 37,
["id"] = "Yhn4VO_0513_0018",
["obtiznost"] = 0.45,
["reseni"] = {
["float"] = 108.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 433,
["jmenovatel"] = 4 },
["render"] = "\\frac{433}{4}",
["typ"] = "cislo" },
["tex"] = "108\\frac{1}{4}",
["tex_float"] = "108{,}25",
["x"] = 108,
["y"] = 1,
["z"] = 4 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "13 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{6} + 8",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{6} + 8)",
["typ"] = "zavorka" },
["render"] = "7 - (4\\frac{3}{6} + 8)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(7 - (4\\frac{3}{6} + 8))^2",
["typ"] = "mocnina" },
["render"] = "13 \\cdot 6 + (7 - (4\\frac{3}{6} + 8))^2",
["typ"] = "plus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.21, bodu=33, $$\frac{9 + 1\frac{2}{7}}{-11} + 6 + 7=\textcolor{white}{12\frac{5}{77}}$$return {
["body"] = 33,
["id"] = "Q1lw98_0513_0018",
["obtiznost"] = 0.41,
["reseni"] = {
["float"] = 12.064935064935,
["objekt"] = {
["hodnota"] = {
["citatel"] = 929,
["jmenovatel"] = 77 },
["render"] = "\\frac{929}{77}",
["typ"] = "cislo" },
["tex"] = "12\\frac{5}{77}",
["x"] = 12,
["y"] = 5,
["z"] = 77 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "9 + 1\\frac{2}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{9 + 1\\frac{2}{7}}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 + 7",
["typ"] = "plus" },
["render"] = "\\frac{9 + 1\\frac{2}{7}}{-11} + 6 + 7",
["typ"] = "plus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.22, bodu=34, $$\frac{-12}{\frac{3\frac{5}{9}}{13 - (5 + (-8))}}=\textcolor{white}{-54}$$return {
["body"] = 34,
["id"] = "CmSK9n_0513_0018",
["obtiznost"] = 0.42,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -54,
["jmenovatel"] = 1 },
["render"] = "\\frac{-108}{2}",
["typ"] = "cislo" },
["tex"] = "-54",
["x"] = -54 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.22",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "5 + (-8)",
["typ"] = "plus" },
["render"] = "(5 + (-8))",
["typ"] = "zavorka" },
["render"] = "13 - (5 + (-8))",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{5}{9}}{13 - (5 + (-8))}",
["typ"] = "lomeno" },
["render"] = "\\frac{-12}{\\frac{3\\frac{5}{9}}{13 - (5 + (-8))}}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.23, bodu=19, $$\frac{-10}{10 - 5 - 12}=\textcolor{white}{1\frac{3}{7}}$$return {
["body"] = 19,
["id"] = "mbB6rr_0513_0018",
["obtiznost"] = 0.23,
["reseni"] = {
["float"] = 1.4285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "\\frac{-10}{-7}",
["typ"] = "cislo" },
["tex"] = "1\\frac{3}{7}",
["x"] = 1,
["y"] = 3,
["z"] = 7 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.23",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "10 - 5 - 12",
["typ"] = "minus" },
["render"] = "\\frac{-10}{10 - 5 - 12}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.24, bodu=20, $$9 + 10 + \frac{-10}{-9} + (-11)=\textcolor{white}{9\frac{1}{9}}$$return {
["body"] = 20,
["id"] = "R0be87_0513_0018",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = 9.1111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 82,
["jmenovatel"] = 9 },
["render"] = "\\frac{82}{9}",
["typ"] = "cislo" },
["tex"] = "9\\frac{1}{9}",
["x"] = 9,
["y"] = 1,
["z"] = 9 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "9 + 10",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{-9}",
["typ"] = "lomeno" },
["render"] = "9 + 10 + \\frac{-10}{-9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "9 + 10 + \\frac{-10}{-9} + (-11)",
["typ"] = "plus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.25, bodu=37, $$(2\frac{1}{4} - (-9 + 7)^2) \cdot \frac{13}{-10}=\textcolor{white}{2{,}275}$$return {
["body"] = 37,
["id"] = "m7HFWj_0513_0018",
["obtiznost"] = 0.452,
["reseni"] = {
["float"] = 2.275,
["objekt"] = {
["hodnota"] = {
["citatel"] = 91,
["jmenovatel"] = 40 },
["render"] = "\\frac{91}{40}",
["typ"] = "cislo" },
["tex"] = "2\\frac{11}{40}",
["tex_float"] = "2{,}275",
["x"] = 2,
["y"] = 11,
["z"] = 40 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.25",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["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"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-9 + 7)^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{1}{4} - (-9 + 7)^2",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{4} - (-9 + 7)^2)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-10}",
["typ"] = "lomeno" },
["render"] = "(2\\frac{1}{4} - (-9 + 7)^2) \\cdot \\frac{13}{-10}",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.26, bodu=48, $$((12 - (10 + 7))^2 - (\frac{8}{4})^4)^3=\textcolor{white}{729}$$return {
["body"] = 48,
["id"] = "Rqjori_0513_0018",
["obtiznost"] = 0.5692,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 729,
["jmenovatel"] = 1 },
["render"] = "\\frac{729}{1}",
["typ"] = "cislo" },
["tex"] = "729",
["x"] = 729 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.26",
["zadani"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 + 7",
["typ"] = "plus" },
["render"] = "(10 + 7)",
["typ"] = "zavorka" },
["render"] = "12 - (10 + 7)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(12 - (10 + 7))^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{8}{4}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{8}{4})^4",
["typ"] = "mocnina" },
["render"] = "(12 - (10 + 7))^2 - (\\frac{8}{4})^4",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "((12 - (10 + 7))^2 - (\\frac{8}{4})^4)^3",
["typ"] = "mocnina" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.27, bodu=22, $$15 - 10 \cdot \frac{11}{7}=\textcolor{white}{-\frac{5}{7}}$$return {
["body"] = 22,
["id"] = "YNdxtK_0513_0018",
["obtiznost"] = 0.27,
["reseni"] = {
["float"] = -0.71428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 7 },
["render"] = "\\frac{-5}{7}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{7}",
["y"] = -5,
["z"] = 7 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.27",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{11}{7}",
["typ"] = "lomeno" },
["render"] = "10 \\cdot \\frac{11}{7}",
["typ"] = "krat" },
["render"] = "15 - 10 \\cdot \\frac{11}{7}",
["typ"] = "minus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.28, bodu=36, $$\frac{(6 + 14)^2}{8 + 7 + (-8)}=\textcolor{white}{57\frac{1}{7}}$$return {
["body"] = 36,
["id"] = "PDqqNL_0513_0018",
["obtiznost"] = 0.4404,
["reseni"] = {
["float"] = 57.142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 400,
["jmenovatel"] = 7 },
["render"] = "\\frac{400}{7}",
["typ"] = "cislo" },
["tex"] = "57\\frac{1}{7}",
["x"] = 57,
["y"] = 1,
["z"] = 7 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.28",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "6 + 14",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(6 + 14)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "7 + (-8)",
["typ"] = "plus" },
["render"] = "8 + 7 + (-8)",
["typ"] = "plus" },
["render"] = "\\frac{(6 + 14)^2}{8 + 7 + (-8)}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.29, bodu=40, $$2\frac{1}{2} + 7 - (6 + 13 \cdot -8)=\textcolor{white}{107{,}5}$$return {
["body"] = 40,
["id"] = "YMbdS0_0513_0018",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = 107.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 215,
["jmenovatel"] = 2 },
["render"] = "\\frac{215}{2}",
["typ"] = "cislo" },
["tex"] = "107\\frac{1}{2}",
["tex_float"] = "107{,}5",
["x"] = 107,
["y"] = 1,
["z"] = 2 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{2} + 7",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "13 \\cdot -8",
["typ"] = "krat" },
["render"] = "6 + 13 \\cdot -8",
["typ"] = "plus" },
["render"] = "(6 + 13 \\cdot -8)",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{2} + 7 - (6 + 13 \\cdot -8)",
["typ"] = "minus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.3, bodu=41, $$\frac{\frac{10}{6}}{3\frac{1}{6} - 13}=\textcolor{white}{-\frac{10}{59}}$$return {
["body"] = 41,
["id"] = "6Ilk3z_0513_0018",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = -0.16949152542373,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 59 },
["render"] = "\\frac{30}{-177}",
["typ"] = "cislo" },
["tex"] = "-\\frac{10}{59}",
["y"] = -10,
["z"] = 59 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{10}{6}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} - 13",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{10}{6}}{3\\frac{1}{6} - 13}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.31, bodu=42, $$\frac{15 + 14}{\frac{-12}{3\frac{4}{9}}}=\textcolor{white}{-8\frac{35}{108}}$$return {
["body"] = 42,
["id"] = "wvhSK0_0513_0018",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = -8.3240740740741,
["objekt"] = {
["hodnota"] = {
["citatel"] = -899,
["jmenovatel"] = 108 },
["render"] = "\\frac{899}{-108}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{35}{108}",
["x"] = -8,
["y"] = 35,
["z"] = 108 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "15 + 14",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{3\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{15 + 14}{\\frac{-12}{3\\frac{4}{9}}}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.32, bodu=43, $$(10 + 2\frac{3}{6} - 8 - (-7)) \cdot 8=\textcolor{white}{92}$$return {
["body"] = 43,
["id"] = "N0LPJT_0513_0018",
["obtiznost"] = 0.52,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 92,
["jmenovatel"] = 1 },
["render"] = "\\frac{184}{2}",
["typ"] = "cislo" },
["tex"] = "92",
["tex_float"] = "92",
["x"] = 92 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.32",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "10 + 2\\frac{3}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "10 + 2\\frac{3}{6} - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "10 + 2\\frac{3}{6} - 8 - (-7)",
["typ"] = "minus" },
["render"] = "(10 + 2\\frac{3}{6} - 8 - (-7))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(10 + 2\\frac{3}{6} - 8 - (-7)) \\cdot 8",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.33, bodu=13, $$-6 \cdot 6 \cdot 9 \cdot 6=\textcolor{white}{-1944}$$return {
["body"] = 13,
["id"] = "Q3jQQX_0513_0018",
["obtiznost"] = 0.33,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1944,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1944}{1}",
["typ"] = "cislo" },
["tex"] = "-1944",
["x"] = -1944 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "9 \\cdot 6",
["typ"] = "krat" },
["render"] = "6 \\cdot 9 \\cdot 6",
["typ"] = "krat" },
["render"] = "-6 \\cdot 6 \\cdot 9 \\cdot 6",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.34, bodu=27, $$-6 - \frac{12 \cdot 5}{8}=\textcolor{white}{-13{,}5}$$return {
["body"] = 27,
["id"] = "v4a5wd_0513_0018",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = -13.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -27,
["jmenovatel"] = 2 },
["render"] = "\\frac{-27}{2}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{1}{2}",
["tex_float"] = "-13{,}5",
["x"] = -13,
["y"] = 1,
["z"] = 2 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "12 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{12 \\cdot 5}{8}",
["typ"] = "lomeno" },
["render"] = "-6 - \\frac{12 \\cdot 5}{8}",
["typ"] = "minus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.35, bodu=68, $$-8 - \frac{3\frac{4}{8}}{-7 - (4 + 3\frac{2}{8})}=\textcolor{white}{-7\frac{43}{57}}$$return {
["body"] = 68,
["id"] = "9vRogL_0513_0018",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = -7.7543859649123,
["objekt"] = {
["hodnota"] = {
["citatel"] = -442,
["jmenovatel"] = 57 },
["render"] = "\\frac{-442}{57}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{43}{57}",
["x"] = -7,
["y"] = 43,
["z"] = 57 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.35",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "4 + 3\\frac{2}{8}",
["typ"] = "plus" },
["render"] = "(4 + 3\\frac{2}{8})",
["typ"] = "zavorka" },
["render"] = "-7 - (4 + 3\\frac{2}{8})",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{4}{8}}{-7 - (4 + 3\\frac{2}{8})}",
["typ"] = "lomeno" },
["render"] = "-8 - \\frac{3\\frac{4}{8}}{-7 - (4 + 3\\frac{2}{8})}",
["typ"] = "minus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.36, bodu=47, $$11 - (15 - \frac{2\frac{4}{7}}{-15})=\textcolor{white}{-4\frac{6}{35}}$$return {
["body"] = 47,
["id"] = "VUr30r_0513_0018",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = -4.1714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -146,
["jmenovatel"] = 35 },
["render"] = "\\frac{-146}{35}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{6}{35}",
["x"] = -4,
["y"] = 6,
["z"] = 35 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.36",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{7}}{-15}",
["typ"] = "lomeno" },
["render"] = "15 - \\frac{2\\frac{4}{7}}{-15}",
["typ"] = "minus" },
["render"] = "(15 - \\frac{2\\frac{4}{7}}{-15})",
["typ"] = "zavorka" },
["render"] = "11 - (15 - \\frac{2\\frac{4}{7}}{-15})",
["typ"] = "minus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.37, bodu=15, $$8 \cdot (-14 + 10)^2 + 9 + 12=\textcolor{white}{149}$$return {
["body"] = 15,
["id"] = "eRuQo7_0513_0018",
["obtiznost"] = 0.3768,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 149,
["jmenovatel"] = 1 },
["render"] = "\\frac{149}{1}",
["typ"] = "cislo" },
["tex"] = "149",
["x"] = 149 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-14 + 10",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-14 + 10)^2",
["typ"] = "mocnina" },
["render"] = "8 \\cdot (-14 + 10)^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 \\cdot (-14 + 10)^2 + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "8 \\cdot (-14 + 10)^2 + 9 + 12",
["typ"] = "plus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.38, bodu=49, $$\frac{1\frac{2}{3}}{13} - \frac{4}{-7}=\textcolor{white}{\frac{191}{273}}$$return {
["body"] = 49,
["id"] = "avP6gf_0513_0018",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = 0.6996336996337,
["objekt"] = {
["hodnota"] = {
["citatel"] = 191,
["jmenovatel"] = 273 },
["render"] = "\\frac{191}{273}",
["typ"] = "cislo" },
["tex"] = "\\frac{191}{273}",
["y"] = 191,
["z"] = 273 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{3}}{13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{4}{-7}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{2}{3}}{13} - \\frac{4}{-7}",
["typ"] = "minus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.39, bodu=48, $$\frac{((-10 + 9) \cdot (9 + 12))^2}{10}=\textcolor{white}{44{,}1}$$return {
["body"] = 48,
["id"] = "Hhw6hw_0513_0018",
["obtiznost"] = 0.5668,
["reseni"] = {
["float"] = 44.1,
["objekt"] = {
["hodnota"] = {
["citatel"] = 441,
["jmenovatel"] = 10 },
["render"] = "\\frac{441}{10}",
["typ"] = "cislo" },
["tex"] = "44\\frac{1}{10}",
["tex_float"] = "44{,}1",
["x"] = 44,
["y"] = 1,
["z"] = 10 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.39",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-10 + 9",
["typ"] = "plus" },
["render"] = "(-10 + 9)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "9 + 12",
["typ"] = "plus" },
["render"] = "(9 + 12)",
["typ"] = "zavorka" },
["render"] = "(-10 + 9) \\cdot (9 + 12)",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "((-10 + 9) \\cdot (9 + 12))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{((-10 + 9) \\cdot (9 + 12))^2}{10}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.4, bodu=100, $$\frac{4\frac{1}{2}}{1\frac{2}{6} \cdot 4} \cdot 2\frac{4}{5}=\textcolor{white}{2\frac{29}{80}}$$return {
["body"] = 100,
["id"] = "GxMSbe_0513_0018",
["obtiznost"] = 1,
["reseni"] = {
["float"] = 2.3625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 189,
["jmenovatel"] = 80 },
["render"] = "\\frac{378}{160}",
["typ"] = "cislo" },
["tex"] = "2\\frac{29}{80}",
["x"] = 2,
["y"] = 29,
["z"] = 80 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{6} \\cdot 4",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{1}{2}}{1\\frac{2}{6} \\cdot 4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{2}}{1\\frac{2}{6} \\cdot 4} \\cdot 2\\frac{4}{5}",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.41, bodu=33, $$\frac{9}{-10} \cdot \frac{14}{12}=\textcolor{white}{-1{,}05}$$return {
["body"] = 33,
["id"] = "qh5XTr_0513_0018",
["obtiznost"] = 0.41,
["reseni"] = {
["float"] = -1.05,
["objekt"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 20 },
["render"] = "\\frac{-63}{60}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1}{20}",
["tex_float"] = "-1{,}05",
["x"] = -1,
["y"] = 1,
["z"] = 20 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{14}{12}",
["typ"] = "lomeno" },
["render"] = "\\frac{9}{-10} \\cdot \\frac{14}{12}",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.42, bodu=53, $$9 \cdot \frac{-8 - 5}{9 - 3\frac{4}{10}}=\textcolor{white}{-20\frac{25}{28}}$$return {
["body"] = 53,
["id"] = "vlK91y_0513_0018",
["obtiznost"] = 0.62,
["reseni"] = {
["float"] = -20.892857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -585,
["jmenovatel"] = 28 },
["render"] = "\\frac{-585}{28}",
["typ"] = "cislo" },
["tex"] = "-20\\frac{25}{28}",
["x"] = -20,
["y"] = 25,
["z"] = 28 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.42",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-8 - 5",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "9 - 3\\frac{4}{10}",
["typ"] = "minus" },
["render"] = "\\frac{-8 - 5}{9 - 3\\frac{4}{10}}",
["typ"] = "lomeno" },
["render"] = "9 \\cdot \\frac{-8 - 5}{9 - 3\\frac{4}{10}}",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.43, bodu=55, $$\frac{8 - (11 - 8)^2}{3\frac{4}{7} \cdot -7}=\textcolor{white}{0{,}04}$$return {
["body"] = 55,
["id"] = "UTe3RY_0513_0018",
["obtiznost"] = 0.634,
["reseni"] = {
["float"] = 0.04,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 25 },
["render"] = "\\frac{-1}{-25}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{25}",
["tex_float"] = "0{,}04",
["y"] = 1,
["z"] = 25 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "11 - 8",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(11 - 8)^2",
["typ"] = "mocnina" },
["render"] = "8 - (11 - 8)^2",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{7} \\cdot -7",
["typ"] = "krat" },
["render"] = "\\frac{8 - (11 - 8)^2}{3\\frac{4}{7} \\cdot -7}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.44, bodu=98, $$(\frac{9}{1\frac{4}{7} - 8} + 15) \cdot (1\frac{3}{6} + 8)^2=\textcolor{white}{1227{,}4}$$return {
["body"] = 98,
["id"] = "rYy5gh_0513_0018",
["obtiznost"] = 0.986,
["reseni"] = {
["float"] = 1227.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6137,
["jmenovatel"] = 5 },
["render"] = "\\frac{24548}{20}",
["typ"] = "cislo" },
["tex"] = "1227\\frac{2}{5}",
["tex_float"] = "1227{,}4",
["x"] = 1227,
["y"] = 2,
["z"] = 5 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.44",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{7} - 8",
["typ"] = "minus" },
["render"] = "\\frac{9}{1\\frac{4}{7} - 8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{9}{1\\frac{4}{7} - 8} + 15",
["typ"] = "plus" },
["render"] = "(\\frac{9}{1\\frac{4}{7} - 8} + 15)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} + 8",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{3}{6} + 8)^2",
["typ"] = "mocnina" },
["render"] = "(\\frac{9}{1\\frac{4}{7} - 8} + 15) \\cdot (1\\frac{3}{6} + 8)^2",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.45, bodu=92, $$3\frac{3}{4} \cdot 9 \cdot (\frac{2\frac{2}{5}}{9})^2=\textcolor{white}{2{,}4}$$return {
["body"] = 92,
["id"] = "3M15iV_0513_0018",
["obtiznost"] = 0.9464,
["reseni"] = {
["float"] = 2.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "\\frac{240}{100}",
["typ"] = "cislo" },
["tex"] = "2\\frac{2}{5}",
["tex_float"] = "2{,}4",
["x"] = 2,
["y"] = 2,
["z"] = 5 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.45",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{5}}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{2\\frac{2}{5}}{9})^2",
["typ"] = "mocnina" },
["render"] = "9 \\cdot (\\frac{2\\frac{2}{5}}{9})^2",
["typ"] = "krat" },
["render"] = "3\\frac{3}{4} \\cdot 9 \\cdot (\\frac{2\\frac{2}{5}}{9})^2",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.46, bodu=38, $$\frac{-8}{-2} \cdot -7 \cdot 3=\textcolor{white}{-84}$$return {
["body"] = 38,
["id"] = "B8yXAL_0513_0018",
["obtiznost"] = 0.46,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -84,
["jmenovatel"] = 1 },
["render"] = "\\frac{-84}{1}",
["typ"] = "cislo" },
["tex"] = "-84",
["tex_float"] = "-84",
["x"] = -84 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-2} \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-2} \\cdot -7 \\cdot 3",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.47, bodu=42, $$(6 - 3) \cdot ((\frac{15}{10})^4 - (-12))=\textcolor{white}{51\frac{3}{16}}$$return {
["body"] = 42,
["id"] = "ZbgNA0_0513_0018",
["obtiznost"] = 0.5088,
["reseni"] = {
["float"] = 51.1875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 819,
["jmenovatel"] = 16 },
["render"] = "\\frac{819}{16}",
["typ"] = "cislo" },
["tex"] = "51\\frac{3}{16}",
["x"] = 51,
["y"] = 3,
["z"] = 16 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.47",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "6 - 3",
["typ"] = "minus" },
["render"] = "(6 - 3)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{15}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{15}{10})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(\\frac{15}{10})^4 - (-12)",
["typ"] = "minus" },
["render"] = "((\\frac{15}{10})^4 - (-12))",
["typ"] = "zavorka" },
["render"] = "(6 - 3) \\cdot ((\\frac{15}{10})^4 - (-12))",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.48, bodu=111, $$16 + 1\frac{1}{6} + 3 - \frac{10}{2\frac{5}{9}} - 1\frac{3}{10}=\textcolor{white}{14\frac{329}{345}}$$return {
["body"] = 111,
["id"] = "LUv65S_0513_0018",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = 14.953623188406,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5159,
["jmenovatel"] = 345 },
["render"] = "\\frac{20636}{1380}",
["typ"] = "cislo" },
["tex"] = "14\\frac{329}{345}",
["x"] = 14,
["y"] = 329,
["z"] = 345 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "16 + 1\\frac{1}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "16 + 1\\frac{1}{6} + 3",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{2\\frac{5}{9}}",
["typ"] = "lomeno" },
["render"] = "16 + 1\\frac{1}{6} + 3 - \\frac{10}{2\\frac{5}{9}}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "16 + 1\\frac{1}{6} + 3 - \\frac{10}{2\\frac{5}{9}} - 1\\frac{3}{10}",
["typ"] = "minus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.49, bodu=46, $$\frac{12 + (-14 - (\frac{15}{9})^3)}{9}=\textcolor{white}{-\frac{179}{243}}$$return {
["body"] = 46,
["id"] = "fjgWlT_0513_0018",
["obtiznost"] = 0.5508,
["reseni"] = {
["float"] = -0.73662551440329,
["objekt"] = {
["hodnota"] = {
["citatel"] = -179,
["jmenovatel"] = 243 },
["render"] = "\\frac{-179}{243}",
["typ"] = "cislo" },
["tex"] = "-\\frac{179}{243}",
["y"] = -179,
["z"] = 243 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{15}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{15}{9})^3",
["typ"] = "mocnina" },
["render"] = "-14 - (\\frac{15}{9})^3",
["typ"] = "minus" },
["render"] = "12 + (-14 - (\\frac{15}{9})^3)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{12 + (-14 - (\\frac{15}{9})^3)}{9}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.5, bodu=113, $$\frac{4\frac{5}{8}}{4\frac{3}{9} + 8 - (-4) - (-8 - 4\frac{3}{8})}=\textcolor{white}{\frac{111}{689}}$$return {
["body"] = 113,
["id"] = "GAk2ep_0513_0018",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = 0.1611030478955,
["objekt"] = {
["hodnota"] = {
["citatel"] = 111,
["jmenovatel"] = 689 },
["render"] = "\\frac{888}{5512}",
["typ"] = "cislo" },
["tex"] = "\\frac{111}{689}",
["y"] = 111,
["z"] = 689 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.5",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["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"] = "minus" },
["render"] = "4\\frac{3}{9} + 8 - (-4)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-8 - 4\\frac{3}{8}",
["typ"] = "minus" },
["render"] = "(-8 - 4\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{9} + 8 - (-4) - (-8 - 4\\frac{3}{8})",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{5}{8}}{4\\frac{3}{9} + 8 - (-4) - (-8 - 4\\frac{3}{8})}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.51, bodu=63, $$\frac{-13}{4} + (10 + 4\frac{1}{5}) \cdot 11=\textcolor{white}{152{,}95}$$return {
["body"] = 63,
["id"] = "HwSwFb_0513_0018",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = 152.95,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3059,
["jmenovatel"] = 20 },
["render"] = "\\frac{3059}{20}",
["typ"] = "cislo" },
["tex"] = "152\\frac{19}{20}",
["tex_float"] = "152{,}95",
["x"] = 152,
["y"] = 19,
["z"] = 20 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{4}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "10 + 4\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "(10 + 4\\frac{1}{5})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(10 + 4\\frac{1}{5}) \\cdot 11",
["typ"] = "krat" },
["render"] = "\\frac{-13}{4} + (10 + 4\\frac{1}{5}) \\cdot 11",
["typ"] = "plus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.52, bodu=89, $$\frac{3\frac{5}{8} - \frac{4\frac{4}{10}}{-4}}{\frac{5}{-12}}=\textcolor{white}{-11{,}34}$$return {
["body"] = 89,
["id"] = "Kc3mvL_0513_0018",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = -11.34,
["objekt"] = {
["hodnota"] = {
["citatel"] = -567,
["jmenovatel"] = 50 },
["render"] = "\\frac{2268}{-200}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{17}{50}",
["tex_float"] = "-11{,}34",
["x"] = -11,
["y"] = 17,
["z"] = 50 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{10}}{-4}",
["typ"] = "lomeno" },
["render"] = "3\\frac{5}{8} - \\frac{4\\frac{4}{10}}{-4}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{5}{-12}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{5}{8} - \\frac{4\\frac{4}{10}}{-4}}{\\frac{5}{-12}}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.53, bodu=66, $$\frac{-11 \cdot 6 + 2\frac{3}{7} + 13}{-7 - 9}=\textcolor{white}{3\frac{9}{56}}$$return {
["body"] = 66,
["id"] = "huJZNx_0513_0018",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = 3.1607142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 177,
["jmenovatel"] = 56 },
["render"] = "\\frac{-354}{-112}",
["typ"] = "cislo" },
["tex"] = "3\\frac{9}{56}",
["x"] = 3,
["y"] = 9,
["z"] = 56 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 6 + 2\\frac{3}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 6 + 2\\frac{3}{7} + 13",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-7 - 9",
["typ"] = "minus" },
["render"] = "\\frac{-11 \\cdot 6 + 2\\frac{3}{7} + 13}{-7 - 9}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.54, bodu=164, $$9 + 1\frac{3}{7} - (1\frac{1}{4} + (-12)) + (-3 \cdot 4\frac{4}{8})^2=\textcolor{white}{203\frac{3}{7}}$$return {
["body"] = 164,
["id"] = "KRooDt_0513_0018",
["obtiznost"] = 1.4332,
["reseni"] = {
["float"] = 203.42857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1424,
["jmenovatel"] = 7 },
["render"] = "\\frac{22784}{112}",
["typ"] = "cislo" },
["tex"] = "203\\frac{3}{7}",
["x"] = 203,
["y"] = 3,
["z"] = 7 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "9 + 1\\frac{3}{7}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{4} + (-12)",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{4} + (-12))",
["typ"] = "zavorka" },
["render"] = "9 + 1\\frac{3}{7} - (1\\frac{1}{4} + (-12))",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-3 \\cdot 4\\frac{4}{8}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(-3 \\cdot 4\\frac{4}{8})^2",
["typ"] = "mocnina" },
["render"] = "9 + 1\\frac{3}{7} - (1\\frac{1}{4} + (-12)) + (-3 \\cdot 4\\frac{4}{8})^2",
["typ"] = "plus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.55, bodu=50, $$(-10 \cdot (\frac{-11}{-11})^3)^2 \cdot 7=\textcolor{white}{700}$$return {
["body"] = 50,
["id"] = "rM8z0b_0513_0018",
["obtiznost"] = 0.5912,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 700,
["jmenovatel"] = 1 },
["render"] = "\\frac{700}{1}",
["typ"] = "cislo" },
["tex"] = "700",
["x"] = 700 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.55",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{-11}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-11}{-11})^3",
["typ"] = "mocnina" },
["render"] = "-10 \\cdot (\\frac{-11}{-11})^3",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(-10 \\cdot (\\frac{-11}{-11})^3)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(-10 \\cdot (\\frac{-11}{-11})^3)^2 \\cdot 7",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.56, bodu=75, $$\frac{-6 - 5}{-9 + (\frac{-8}{3\frac{1}{5}})^3}=\textcolor{white}{\frac{88}{197}}$$return {
["body"] = 75,
["id"] = "S3WXEx_0513_0018",
["obtiznost"] = 0.8132,
["reseni"] = {
["float"] = 0.44670050761421,
["objekt"] = {
["hodnota"] = {
["citatel"] = 88,
["jmenovatel"] = 197 },
["render"] = "\\frac{-88}{-197}",
["typ"] = "cislo" },
["tex"] = "\\frac{88}{197}",
["y"] = 88,
["z"] = 197 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-6 - 5",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{3\\frac{1}{5}}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-8}{3\\frac{1}{5}})^3",
["typ"] = "mocnina" },
["render"] = "-9 + (\\frac{-8}{3\\frac{1}{5}})^3",
["typ"] = "plus" },
["render"] = "\\frac{-6 - 5}{-9 + (\\frac{-8}{3\\frac{1}{5}})^3}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.57, bodu=51, $$\frac{-17 \cdot (\frac{8}{3})^2}{-11}=\textcolor{white}{10\frac{98}{99}}$$return {
["body"] = 51,
["id"] = "JSQ8we_0513_0018",
["obtiznost"] = 0.5992,
["reseni"] = {
["float"] = 10.989898989899,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1088,
["jmenovatel"] = 99 },
["render"] = "\\frac{-1088}{-99}",
["typ"] = "cislo" },
["tex"] = "10\\frac{98}{99}",
["x"] = 10,
["y"] = 98,
["z"] = 99 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{8}{3}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8}{3})^2",
["typ"] = "mocnina" },
["render"] = "-17 \\cdot (\\frac{8}{3})^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-17 \\cdot (\\frac{8}{3})^2}{-11}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.58, bodu=92, $$\frac{-13}{-8 \cdot (4\frac{3}{8} + (\frac{-8}{-14})^3)}=\textcolor{white}{\frac{4459}{12517}}$$return {
["body"] = 92,
["id"] = "sbziOI_0513_0018",
["obtiznost"] = 0.9428,
["reseni"] = {
["float"] = 0.35623551969322,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4459,
["jmenovatel"] = 12517 },
["render"] = "\\frac{-4459}{-12517}",
["typ"] = "cislo" },
["tex"] = "\\frac{4459}{12517}",
["y"] = 4459,
["z"] = 12517 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.58",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-14}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-8}{-14})^3",
["typ"] = "mocnina" },
["render"] = "4\\frac{3}{8} + (\\frac{-8}{-14})^3",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{8} + (\\frac{-8}{-14})^3)",
["typ"] = "zavorka" },
["render"] = "-8 \\cdot (4\\frac{3}{8} + (\\frac{-8}{-14})^3)",
["typ"] = "krat" },
["render"] = "\\frac{-13}{-8 \\cdot (4\\frac{3}{8} + (\\frac{-8}{-14})^3)}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.59, bodu=98, $$(-7 + \frac{-10 + 2\frac{2}{4}}{-11} + 3\frac{1}{3}) \cdot -12=\textcolor{white}{35\frac{9}{11}}$$return {
["body"] = 98,
["id"] = "cvVrZQ_0513_0018",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = 35.818181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = 394,
["jmenovatel"] = 11 },
["render"] = "\\frac{2364}{66}",
["typ"] = "cislo" },
["tex"] = "35\\frac{9}{11}",
["x"] = 35,
["y"] = 9,
["z"] = 11 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.59",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["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"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "-10 + 2\\frac{2}{4}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-10 + 2\\frac{2}{4}}{-11}",
["typ"] = "lomeno" },
["render"] = "-7 + \\frac{-10 + 2\\frac{2}{4}}{-11}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "-7 + \\frac{-10 + 2\\frac{2}{4}}{-11} + 3\\frac{1}{3}",
["typ"] = "plus" },
["render"] = "(-7 + \\frac{-10 + 2\\frac{2}{4}}{-11} + 3\\frac{1}{3})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(-7 + \\frac{-10 + 2\\frac{2}{4}}{-11} + 3\\frac{1}{3}) \\cdot -12",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.6, bodu=128, $$\frac{4\frac{4}{9} + 4\frac{4}{7} - 8}{4\frac{4}{9} \cdot \frac{19}{12}}=\textcolor{white}{\frac{96}{665}}$$return {
["body"] = 128,
["id"] = "JPHDNw_0513_0018",
["obtiznost"] = 1.2,
["reseni"] = {
["float"] = 0.14436090225564,
["objekt"] = {
["hodnota"] = {
["citatel"] = 96,
["jmenovatel"] = 665 },
["render"] = "\\frac{1728}{11970}",
["typ"] = "cislo" },
["tex"] = "\\frac{96}{665}",
["y"] = 96,
["z"] = 665 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} + 4\\frac{4}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} + 4\\frac{4}{7} - 8",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{19}{12}",
["typ"] = "lomeno" },
["render"] = "4\\frac{4}{9} \\cdot \\frac{19}{12}",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{4}{9} + 4\\frac{4}{7} - 8}{4\\frac{4}{9} \\cdot \\frac{19}{12}}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.61, bodu=160, $$3\frac{1}{5} - \frac{15}{1\frac{1}{8}} - (-7 \cdot 3\frac{5}{11} + 1\frac{1}{7})=\textcolor{white}{12\frac{1046}{1155}}$$return {
["body"] = 160,
["id"] = "Ef3iYW_0513_0018",
["obtiznost"] = 1.41,
["reseni"] = {
["float"] = 12.905627705628,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14906,
["jmenovatel"] = 1155 },
["render"] = "\\frac{14906}{1155}",
["typ"] = "cislo" },
["tex"] = "12\\frac{1046}{1155}",
["x"] = 12,
["y"] = 1046,
["z"] = 1155 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{1\\frac{1}{8}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{1}{5} - \\frac{15}{1\\frac{1}{8}}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 3\\frac{5}{11}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 3\\frac{5}{11} + 1\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "(-7 \\cdot 3\\frac{5}{11} + 1\\frac{1}{7})",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{5} - \\frac{15}{1\\frac{1}{8}} - (-7 \\cdot 3\\frac{5}{11} + 1\\frac{1}{7})",
["typ"] = "minus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.62, bodu=115, $$10 \cdot (3\frac{2}{9} + 11) \cdot 4\frac{5}{9} \cdot (11 - (-4))^2=\textcolor{white}{145777\frac{7}{9}}$$return {
["body"] = 115,
["id"] = "r0DGVO_0513_0018",
["obtiznost"] = 1.1104,
["reseni"] = {
["float"] = 145777.77777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1312000,
["jmenovatel"] = 9 },
["render"] = "\\frac{1312000}{9}",
["typ"] = "cislo" },
["tex"] = "145777\\frac{7}{9}",
["x"] = 145777,
["y"] = 7,
["z"] = 9 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.62",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{9} + 11",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{9} + 11)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "(3\\frac{2}{9} + 11) \\cdot 4\\frac{5}{9}",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "11 - (-4)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(11 - (-4))^2",
["typ"] = "mocnina" },
["render"] = "(3\\frac{2}{9} + 11) \\cdot 4\\frac{5}{9} \\cdot (11 - (-4))^2",
["typ"] = "krat" },
["render"] = "10 \\cdot (3\\frac{2}{9} + 11) \\cdot 4\\frac{5}{9} \\cdot (11 - (-4))^2",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.63, bodu=163, $$2\frac{5}{8} \cdot (1\frac{5}{12} - 14) \cdot (1\frac{5}{13} - 1\frac{2}{8})=\textcolor{white}{-4\frac{743}{1664}}$$return {
["body"] = 163,
["id"] = "D2tFLh_0513_0018",
["obtiznost"] = 1.43,
["reseni"] = {
["float"] = -4.4465144230769,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7399,
["jmenovatel"] = 1664 },
["render"] = "\\frac{-22197}{4992}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{743}{1664}",
["x"] = -4,
["y"] = 743,
["z"] = 1664 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.63",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} - 14",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{12} - 14)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{13} - 1\\frac{2}{8}",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{13} - 1\\frac{2}{8})",
["typ"] = "zavorka" },
["render"] = "(1\\frac{5}{12} - 14) \\cdot (1\\frac{5}{13} - 1\\frac{2}{8})",
["typ"] = "krat" },
["render"] = "2\\frac{5}{8} \\cdot (1\\frac{5}{12} - 14) \\cdot (1\\frac{5}{13} - 1\\frac{2}{8})",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.64, bodu=156, $$(2\frac{2}{7} - \frac{-5}{4\frac{5}{12}}) \cdot (\frac{(9 + (-11))^3}{7})^3=\textcolor{white}{-5\frac{12951}{127253}}$$return {
["body"] = 156,
["id"] = "leDD18_0513_0018",
["obtiznost"] = 1.3856,
["reseni"] = {
["float"] = -5.1017736320558,
["objekt"] = {
["hodnota"] = {
["citatel"] = -649216,
["jmenovatel"] = 127253 },
["render"] = "\\frac{-649216}{127253}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{12951}{127253}",
["x"] = -5,
["y"] = 12951,
["z"] = 127253 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.64",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{4\\frac{5}{12}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{2}{7} - \\frac{-5}{4\\frac{5}{12}}",
["typ"] = "minus" },
["render"] = "(2\\frac{2}{7} - \\frac{-5}{4\\frac{5}{12}})",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(9 + (-11))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{(9 + (-11))^3}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{(9 + (-11))^3}{7})^3",
["typ"] = "mocnina" },
["render"] = "(2\\frac{2}{7} - \\frac{-5}{4\\frac{5}{12}}) \\cdot (\\frac{(9 + (-11))^3}{7})^3",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.65, bodu=57, $$-6 \cdot (-4 - \frac{\frac{-4}{8}}{-6})=\textcolor{white}{24{,}5}$$return {
["body"] = 57,
["id"] = "l3WViC_0513_0018",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = 24.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 2 },
["render"] = "\\frac{294}{12}",
["typ"] = "cislo" },
["tex"] = "24\\frac{1}{2}",
["tex_float"] = "24{,}5",
["x"] = 24,
["y"] = 1,
["z"] = 2 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.65",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-4}{8}}{-6}",
["typ"] = "lomeno" },
["render"] = "-4 - \\frac{\\frac{-4}{8}}{-6}",
["typ"] = "minus" },
["render"] = "(-4 - \\frac{\\frac{-4}{8}}{-6})",
["typ"] = "zavorka" },
["render"] = "-6 \\cdot (-4 - \\frac{\\frac{-4}{8}}{-6})",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.66, bodu=158, $$(-12 + (-17))^2 - (4\frac{5}{12} - 13) - 1\frac{4}{12} \cdot -11=\textcolor{white}{864{,}25}$$return {
["body"] = 158,
["id"] = "ecQBrY_0513_0018",
["obtiznost"] = 1.3968,
["reseni"] = {
["float"] = 864.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3457,
["jmenovatel"] = 4 },
["render"] = "\\frac{31113}{36}",
["typ"] = "cislo" },
["tex"] = "864\\frac{1}{4}",
["tex_float"] = "864{,}25",
["x"] = 864,
["y"] = 1,
["z"] = 4 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-12 + (-17)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-12 + (-17))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{12} - 13",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{12} - 13)",
["typ"] = "zavorka" },
["render"] = "(-12 + (-17))^2 - (4\\frac{5}{12} - 13)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{12} \\cdot -11",
["typ"] = "krat" },
["render"] = "(-12 + (-17))^2 - (4\\frac{5}{12} - 13) - 1\\frac{4}{12} \\cdot -11",
["typ"] = "minus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.67, bodu=109, $$2\frac{5}{6} + 1\frac{4}{13} + 8 - (7 + (-10 \cdot 13) - 13)=\textcolor{white}{148\frac{11}{78}}$$return {
["body"] = 109,
["id"] = "8ei9ba_0513_0018",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = 148.14102564103,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11555,
["jmenovatel"] = 78 },
["render"] = "\\frac{11555}{78}",
["typ"] = "cislo" },
["tex"] = "148\\frac{11}{78}",
["x"] = 148,
["y"] = 11,
["z"] = 78 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 6 },
["render"] = "2\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 13 },
["render"] = "1\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{6} + 1\\frac{4}{13}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{6} + 1\\frac{4}{13} + 8",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 13",
["typ"] = "krat" },
["render"] = "7 + (-10 \\cdot 13)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "7 + (-10 \\cdot 13) - 13",
["typ"] = "minus" },
["render"] = "(7 + (-10 \\cdot 13) - 13)",
["typ"] = "zavorka" },
["render"] = "2\\frac{5}{6} + 1\\frac{4}{13} + 8 - (7 + (-10 \\cdot 13) - 13)",
["typ"] = "minus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.68, bodu=84, $$-21 \cdot -4 \cdot 4\frac{5}{10} \cdot -20 \cdot -13=\textcolor{white}{98280}$$return {
["body"] = 84,
["id"] = "gS0B3J_0513_0018",
["obtiznost"] = 0.88,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 98280,
["jmenovatel"] = 1 },
["render"] = "\\frac{98280}{1}",
["typ"] = "cislo" },
["tex"] = "98280",
["tex_float"] = "98280",
["x"] = 98280 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-4 \\cdot 4\\frac{5}{10}",
["typ"] = "krat" },
["render"] = "-21 \\cdot -4 \\cdot 4\\frac{5}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "-21 \\cdot -4 \\cdot 4\\frac{5}{10} \\cdot -20",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-21 \\cdot -4 \\cdot 4\\frac{5}{10} \\cdot -20 \\cdot -13",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.69, bodu=90, $$(\frac{16}{-15 + (-9)})^4 \cdot (\frac{10}{3\frac{3}{11}} - 9)=\textcolor{white}{-1\frac{127}{729}}$$return {
["body"] = 90,
["id"] = "MwTROj_0513_0018",
["obtiznost"] = 0.9288,
["reseni"] = {
["float"] = -1.1742112482853,
["objekt"] = {
["hodnota"] = {
["citatel"] = -856,
["jmenovatel"] = 729 },
["render"] = "\\frac{-1712}{1458}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{127}{729}",
["x"] = -1,
["y"] = 127,
["z"] = 729 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.69",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-15 + (-9)",
["typ"] = "plus" },
["render"] = "\\frac{16}{-15 + (-9)}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{16}{-15 + (-9)})^4",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{3\\frac{3}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{10}{3\\frac{3}{11}} - 9",
["typ"] = "minus" },
["render"] = "(\\frac{10}{3\\frac{3}{11}} - 9)",
["typ"] = "zavorka" },
["render"] = "(\\frac{16}{-15 + (-9)})^4 \\cdot (\\frac{10}{3\\frac{3}{11}} - 9)",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.7, bodu=143, $$(\frac{14}{4\frac{4}{11} - 1\frac{5}{12}} - 8) \cdot 1\frac{5}{6}=\textcolor{white}{-5\frac{1117}{1167}}$$return {
["body"] = 143,
["id"] = "thf8AO_0513_0018",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = -5.9571550985433,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6952,
["jmenovatel"] = 1167 },
["render"] = "\\frac{-13904}{2334}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{1117}{1167}",
["x"] = -5,
["y"] = 1117,
["z"] = 1167 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.7",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["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"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{11} - 1\\frac{5}{12}",
["typ"] = "minus" },
["render"] = "\\frac{14}{4\\frac{4}{11} - 1\\frac{5}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{14}{4\\frac{4}{11} - 1\\frac{5}{12}} - 8",
["typ"] = "minus" },
["render"] = "(\\frac{14}{4\\frac{4}{11} - 1\\frac{5}{12}} - 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "(\\frac{14}{4\\frac{4}{11} - 1\\frac{5}{12}} - 8) \\cdot 1\\frac{5}{6}",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.71, bodu=88, $$(1\frac{4}{11} - (-11)) \cdot 7 \cdot 11 - (-15)=\textcolor{white}{967}$$return {
["body"] = 88,
["id"] = "1ljxJq_0513_0018",
["obtiznost"] = 0.91,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 967,
["jmenovatel"] = 1 },
["render"] = "\\frac{967}{1}",
["typ"] = "cislo" },
["tex"] = "967",
["x"] = 967 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{11} - (-11)",
["typ"] = "minus" },
["render"] = "(1\\frac{4}{11} - (-11))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "7 \\cdot 11",
["typ"] = "krat" },
["render"] = "(1\\frac{4}{11} - (-11)) \\cdot 7 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "(1\\frac{4}{11} - (-11)) \\cdot 7 \\cdot 11 - (-15)",
["typ"] = "minus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.72, bodu=116, $$\frac{12 \cdot -14}{3\frac{1}{11} + 13 - (4\frac{5}{11} + (-6))}=\textcolor{white}{-9\frac{51}{97}}$$return {
["body"] = 116,
["id"] = "FzxMNx_0513_0018",
["obtiznost"] = 1.12,
["reseni"] = {
["float"] = -9.5257731958763,
["objekt"] = {
["hodnota"] = {
["citatel"] = -924,
["jmenovatel"] = 97 },
["render"] = "\\frac{-1848}{194}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{51}{97}",
["x"] = -9,
["y"] = 51,
["z"] = 97 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "12 \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 34,
["jmenovatel"] = 11 },
["render"] = "3\\frac{1}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{11} + 13",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{11} + (-6)",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{11} + (-6))",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{11} + 13 - (4\\frac{5}{11} + (-6))",
["typ"] = "minus" },
["render"] = "\\frac{12 \\cdot -14}{3\\frac{1}{11} + 13 - (4\\frac{5}{11} + (-6))}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.73, bodu=118, $$\frac{\frac{8 \cdot 2\frac{5}{9}}{-15} \cdot 3\frac{3}{11}}{-10}=\textcolor{white}{\frac{368}{825}}$$return {
["body"] = 118,
["id"] = "jHKcts_0513_0018",
["obtiznost"] = 1.13,
["reseni"] = {
["float"] = 0.44606060606061,
["objekt"] = {
["hodnota"] = {
["citatel"] = 368,
["jmenovatel"] = 825 },
["render"] = "\\frac{-736}{-1650}",
["typ"] = "cislo" },
["tex"] = "\\frac{368}{825}",
["y"] = 368,
["z"] = 825 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 2\\frac{5}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{8 \\cdot 2\\frac{5}{9}}{-15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{8 \\cdot 2\\frac{5}{9}}{-15} \\cdot 3\\frac{3}{11}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{8 \\cdot 2\\frac{5}{9}}{-15} \\cdot 3\\frac{3}{11}}{-10}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.74, bodu=119, $$9 \cdot 4\frac{2}{6} \cdot -5 + 1\frac{4}{10} \cdot 17=\textcolor{white}{-171{,}2}$$return {
["body"] = 119,
["id"] = "EpiIk5_0513_0018",
["obtiznost"] = 1.14,
["reseni"] = {
["float"] = -171.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = -856,
["jmenovatel"] = 5 },
["render"] = "\\frac{-856}{5}",
["typ"] = "cislo" },
["tex"] = "-171\\frac{1}{5}",
["tex_float"] = "-171{,}2",
["x"] = -171,
["y"] = 1,
["z"] = 5 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} \\cdot -5",
["typ"] = "krat" },
["render"] = "9 \\cdot 4\\frac{2}{6} \\cdot -5",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{10} \\cdot 17",
["typ"] = "krat" },
["render"] = "9 \\cdot 4\\frac{2}{6} \\cdot -5 + 1\\frac{4}{10} \\cdot 17",
["typ"] = "plus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.75, bodu=218, $$4\frac{4}{11} \cdot (16 + 4\frac{1}{2} + 3\frac{1}{9}) \cdot (1\frac{3}{8} - (-20 + 1\frac{5}{12}))=\textcolor{white}{2056\frac{31}{99}}$$return {
["body"] = 218,
["id"] = "jW6JnK_0513_0018",
["obtiznost"] = 1.75,
["reseni"] = {
["float"] = 2056.3131313131,
["objekt"] = {
["hodnota"] = {
["citatel"] = 203575,
["jmenovatel"] = 99 },
["render"] = "\\frac{1628600}{792}",
["typ"] = "cislo" },
["tex"] = "2056\\frac{31}{99}",
["x"] = 2056,
["y"] = 31,
["z"] = 99 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{2} + 3\\frac{1}{9}",
["typ"] = "plus" },
["render"] = "16 + 4\\frac{1}{2} + 3\\frac{1}{9}",
["typ"] = "plus" },
["render"] = "(16 + 4\\frac{1}{2} + 3\\frac{1}{9})",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{11} \\cdot (16 + 4\\frac{1}{2} + 3\\frac{1}{9})",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "-20 + 1\\frac{5}{12}",
["typ"] = "plus" },
["render"] = "(-20 + 1\\frac{5}{12})",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{8} - (-20 + 1\\frac{5}{12})",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{8} - (-20 + 1\\frac{5}{12}))",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{11} \\cdot (16 + 4\\frac{1}{2} + 3\\frac{1}{9}) \\cdot (1\\frac{3}{8} - (-20 + 1\\frac{5}{12}))",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.76, bodu=94, $$10 \cdot 3\frac{1}{4} + (-3 - (-17)) \cdot -4 + (-9)=\textcolor{white}{-32{,}5}$$return {
["body"] = 94,
["id"] = "ar8beQ_0513_0018",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = -32.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -65,
["jmenovatel"] = 2 },
["render"] = "\\frac{-65}{2}",
["typ"] = "cislo" },
["tex"] = "-32\\frac{1}{2}",
["tex_float"] = "-32{,}5",
["x"] = -32,
["y"] = 1,
["z"] = 2 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 3\\frac{1}{4}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-3 - (-17)",
["typ"] = "minus" },
["render"] = "(-3 - (-17))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "(-3 - (-17)) \\cdot -4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(-3 - (-17)) \\cdot -4 + (-9)",
["typ"] = "plus" },
["render"] = "10 \\cdot 3\\frac{1}{4} + (-3 - (-17)) \\cdot -4 + (-9)",
["typ"] = "plus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.77, bodu=95, $$3\frac{2}{6} \cdot -9 \cdot 17 \cdot \frac{18}{-15}=\textcolor{white}{612}$$return {
["body"] = 95,
["id"] = "LNzCrq_0513_0018",
["obtiznost"] = 0.97,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 612,
["jmenovatel"] = 1 },
["render"] = "\\frac{3060}{5}",
["typ"] = "cislo" },
["tex"] = "612",
["tex_float"] = "612",
["x"] = 612 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "17 \\cdot \\frac{18}{-15}",
["typ"] = "krat" },
["render"] = "3\\frac{2}{6} \\cdot -9 \\cdot 17 \\cdot \\frac{18}{-15}",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.78, bodu=97, $$(-11 \cdot 6 \cdot -15 - 1\frac{2}{3}) \cdot -5=\textcolor{white}{-4941\frac{2}{3}}$$return {
["body"] = 97,
["id"] = "RaeJHP_0513_0018",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = -4941.6666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -14825,
["jmenovatel"] = 3 },
["render"] = "\\frac{-14825}{3}",
["typ"] = "cislo" },
["tex"] = "-4941\\frac{2}{3}",
["x"] = -4941,
["y"] = 2,
["z"] = 3 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.78",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 6 \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 6 \\cdot -15 - 1\\frac{2}{3}",
["typ"] = "minus" },
["render"] = "(-11 \\cdot 6 \\cdot -15 - 1\\frac{2}{3})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "(-11 \\cdot 6 \\cdot -15 - 1\\frac{2}{3}) \\cdot -5",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.79, bodu=99, $$\frac{1\frac{5}{12} + 8 \cdot -19}{(13 + (-16) + 5)^4}=\textcolor{white}{-9\frac{79}{192}}$$return {
["body"] = 99,
["id"] = "09wfF3_0513_0018",
["obtiznost"] = 0.9968,
["reseni"] = {
["float"] = -9.4114583333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1807,
["jmenovatel"] = 192 },
["render"] = "\\frac{-1807}{192}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{79}{192}",
["x"] = -9,
["y"] = 79,
["z"] = 192 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "8 \\cdot -19",
["typ"] = "krat" },
["render"] = "1\\frac{5}{12} + 8 \\cdot -19",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "13 + (-16)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "13 + (-16) + 5",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(13 + (-16) + 5)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{1\\frac{5}{12} + 8 \\cdot -19}{(13 + (-16) + 5)^4}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.8, bodu=192, $$8 - 1\frac{3}{7} + \frac{\frac{1\frac{1}{3}}{2\frac{2}{7}}}{11} \cdot 4\frac{3}{7}=\textcolor{white}{6\frac{745}{924}}$$return {
["body"] = 192,
["id"] = "TCazZk_0513_0018",
["obtiznost"] = 1.6,
["reseni"] = {
["float"] = 6.8062770562771,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6289,
["jmenovatel"] = 924 },
["render"] = "\\frac{6289}{924}",
["typ"] = "cislo" },
["tex"] = "6\\frac{745}{924}",
["x"] = 6,
["y"] = 745,
["z"] = 924 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "8 - 1\\frac{3}{7}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{3}}{2\\frac{2}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{1}{3}}{2\\frac{2}{7}}}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{1}{3}}{2\\frac{2}{7}}}{11} \\cdot 4\\frac{3}{7}",
["typ"] = "krat" },
["render"] = "8 - 1\\frac{3}{7} + \\frac{\\frac{1\\frac{1}{3}}{2\\frac{2}{7}}}{11} \\cdot 4\\frac{3}{7}",
["typ"] = "plus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.81, bodu=150, $$(\frac{-14}{21} + (12 + 12 - (-5))^2) \cdot 3\frac{1}{9} - 12=\textcolor{white}{2602\frac{10}{27}}$$return {
["body"] = 150,
["id"] = "FJUfbB_0513_0018",
["obtiznost"] = 1.3468,
["reseni"] = {
["float"] = 2602.3703703704,
["objekt"] = {
["hodnota"] = {
["citatel"] = 70264,
["jmenovatel"] = 27 },
["render"] = "\\frac{70264}{27}",
["typ"] = "cislo" },
["tex"] = "2602\\frac{10}{27}",
["x"] = 2602,
["y"] = 10,
["z"] = 27 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{21}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "12 + 12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "12 + 12 - (-5)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(12 + 12 - (-5))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-14}{21} + (12 + 12 - (-5))^2",
["typ"] = "plus" },
["render"] = "(\\frac{-14}{21} + (12 + 12 - (-5))^2)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "(\\frac{-14}{21} + (12 + 12 - (-5))^2) \\cdot 3\\frac{1}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(\\frac{-14}{21} + (12 + 12 - (-5))^2) \\cdot 3\\frac{1}{9} - 12",
["typ"] = "minus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.82, bodu=131, $$18 \cdot \frac{-9 + (11 + 2\frac{3}{10}) \cdot -8}{6 - 4\frac{3}{9}}=\textcolor{white}{-1246{,}32}$$return {
["body"] = 131,
["id"] = "28g3VB_0513_0018",
["obtiznost"] = 1.22,
["reseni"] = {
["float"] = -1246.32,
["objekt"] = {
["hodnota"] = {
["citatel"] = -31158,
["jmenovatel"] = 25 },
["render"] = "\\frac{-31158}{25}",
["typ"] = "cislo" },
["tex"] = "-1246\\frac{8}{25}",
["tex_float"] = "-1246{,}32",
["x"] = -1246,
["y"] = 8,
["z"] = 25 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.82",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "11 + 2\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "(11 + 2\\frac{3}{10})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(11 + 2\\frac{3}{10}) \\cdot -8",
["typ"] = "krat" },
["render"] = "-9 + (11 + 2\\frac{3}{10}) \\cdot -8",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "6 - 4\\frac{3}{9}",
["typ"] = "minus" },
["render"] = "\\frac{-9 + (11 + 2\\frac{3}{10}) \\cdot -8}{6 - 4\\frac{3}{9}}",
["typ"] = "lomeno" },
["render"] = "18 \\cdot \\frac{-9 + (11 + 2\\frac{3}{10}) \\cdot -8}{6 - 4\\frac{3}{9}}",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.83, bodu=132, $$\frac{2\frac{2}{9}}{-15 - 21 + 16 \cdot (4\frac{4}{10} - (-13))}=\textcolor{white}{\frac{25}{2727}}$$return {
["body"] = 132,
["id"] = "4PNpoR_0513_0018",
["obtiznost"] = 1.23,
["reseni"] = {
["float"] = 0.0091675834250092,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 2727 },
["render"] = "\\frac{100}{10908}",
["typ"] = "cislo" },
["tex"] = "\\frac{25}{2727}",
["y"] = 25,
["z"] = 2727 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.83",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "-15 - 21",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{10} - (-13)",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{10} - (-13))",
["typ"] = "zavorka" },
["render"] = "16 \\cdot (4\\frac{4}{10} - (-13))",
["typ"] = "krat" },
["render"] = "-15 - 21 + 16 \\cdot (4\\frac{4}{10} - (-13))",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{2}{9}}{-15 - 21 + 16 \\cdot (4\\frac{4}{10} - (-13))}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.84, bodu=165, $$\frac{1\frac{5}{12} \cdot -15 + 11}{4\frac{4}{7} - (-13 + (-14))} \cdot 2\frac{2}{6}=\textcolor{white}{-\frac{2009}{2652}}$$return {
["body"] = 165,
["id"] = "rMfEd6_0513_0018",
["obtiznost"] = 1.44,
["reseni"] = {
["float"] = -0.75754147812971,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2009,
["jmenovatel"] = 2652 },
["render"] = "\\frac{-2009}{2652}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2009}{2652}",
["y"] = -2009,
["z"] = 2652 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} \\cdot -15 + 11",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-13 + (-14)",
["typ"] = "plus" },
["render"] = "(-13 + (-14))",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{7} - (-13 + (-14))",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{5}{12} \\cdot -15 + 11}{4\\frac{4}{7} - (-13 + (-14))}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{12} \\cdot -15 + 11}{4\\frac{4}{7} - (-13 + (-14))} \\cdot 2\\frac{2}{6}",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.85, bodu=223, $$\frac{(1\frac{2}{6} + (1\frac{4}{6} - 4\frac{5}{10})^2 - 1\frac{5}{11}) \cdot 19}{-12}=\textcolor{white}{-12\frac{2465}{4752}}$$return {
["body"] = 223,
["id"] = "7DJcZd_0513_0018",
["obtiznost"] = 1.78,
["reseni"] = {
["float"] = -12.518728956229,
["objekt"] = {
["hodnota"] = {
["citatel"] = -59489,
["jmenovatel"] = 4752 },
["render"] = "\\frac{59489}{-4752}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{2465}{4752}",
["x"] = -12,
["y"] = 2465,
["z"] = 4752 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{6} - 4\\frac{5}{10}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{4}{6} - 4\\frac{5}{10})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "(1\\frac{4}{6} - 4\\frac{5}{10})^2 - 1\\frac{5}{11}",
["typ"] = "minus" },
["render"] = "1\\frac{2}{6} + (1\\frac{4}{6} - 4\\frac{5}{10})^2 - 1\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{6} + (1\\frac{4}{6} - 4\\frac{5}{10})^2 - 1\\frac{5}{11})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "(1\\frac{2}{6} + (1\\frac{4}{6} - 4\\frac{5}{10})^2 - 1\\frac{5}{11}) \\cdot 19",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{(1\\frac{2}{6} + (1\\frac{4}{6} - 4\\frac{5}{10})^2 - 1\\frac{5}{11}) \\cdot 19}{-12}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.86, bodu=108, $$-14 \cdot \frac{11}{\frac{-17}{4\frac{2}{8} - 7 \cdot -5}}=\textcolor{white}{355\frac{19}{34}}$$return {
["body"] = 108,
["id"] = "du4G2l_0513_0018",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = 355.55882352941,
["objekt"] = {
["hodnota"] = {
["citatel"] = 12089,
["jmenovatel"] = 34 },
["render"] = "\\frac{24178}{68}",
["typ"] = "cislo" },
["tex"] = "355\\frac{19}{34}",
["x"] = 355,
["y"] = 19,
["z"] = 34 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.86",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "7 \\cdot -5",
["typ"] = "krat" },
["render"] = "4\\frac{2}{8} - 7 \\cdot -5",
["typ"] = "minus" },
["render"] = "\\frac{-17}{4\\frac{2}{8} - 7 \\cdot -5}",
["typ"] = "lomeno" },
["render"] = "\\frac{11}{\\frac{-17}{4\\frac{2}{8} - 7 \\cdot -5}}",
["typ"] = "lomeno" },
["render"] = "-14 \\cdot \\frac{11}{\\frac{-17}{4\\frac{2}{8} - 7 \\cdot -5}}",
["typ"] = "krat" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.87, bodu=204, $$\frac{\frac{4\frac{2}{6} + (-14 - 10) \cdot 4\frac{3}{9}}{14 + 3\frac{4}{9}}}{1\frac{4}{11}}=\textcolor{white}{-4\frac{149}{785}}$$return {
["body"] = 204,
["id"] = "UyD0BT_0513_0018",
["obtiznost"] = 1.67,
["reseni"] = {
["float"] = -4.1898089171975,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3289,
["jmenovatel"] = 785 },
["render"] = "\\frac{-9867}{2355}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{149}{785}",
["x"] = -4,
["y"] = 149,
["z"] = 785 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-14 - 10",
["typ"] = "minus" },
["render"] = "(-14 - 10)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "(-14 - 10) \\cdot 4\\frac{3}{9}",
["typ"] = "krat" },
["render"] = "4\\frac{2}{6} + (-14 - 10) \\cdot 4\\frac{3}{9}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "14 + 3\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{2}{6} + (-14 - 10) \\cdot 4\\frac{3}{9}}{14 + 3\\frac{4}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{2}{6} + (-14 - 10) \\cdot 4\\frac{3}{9}}{14 + 3\\frac{4}{9}}}{1\\frac{4}{11}}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.88, bodu=172, $$12 + \frac{-12}{13 + (-10 + 1\frac{5}{8})} - \frac{3\frac{2}{9}}{1\frac{4}{11}}=\textcolor{white}{7\frac{212}{4995}}$$return {
["body"] = 172,
["id"] = "Wp4UUI_0513_0018",
["obtiznost"] = 1.48,
["reseni"] = {
["float"] = 7.0424424424424,
["objekt"] = {
["hodnota"] = {
["citatel"] = 35177,
["jmenovatel"] = 4995 },
["render"] = "\\frac{35177}{4995}",
["typ"] = "cislo" },
["tex"] = "7\\frac{212}{4995}",
["x"] = 7,
["y"] = 212,
["z"] = 4995 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.88",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "-10 + 1\\frac{5}{8}",
["typ"] = "plus" },
["render"] = "13 + (-10 + 1\\frac{5}{8})",
["typ"] = "plus" },
["render"] = "\\frac{-12}{13 + (-10 + 1\\frac{5}{8})}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{9}}{1\\frac{4}{11}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-12}{13 + (-10 + 1\\frac{5}{8})} - \\frac{3\\frac{2}{9}}{1\\frac{4}{11}}",
["typ"] = "minus" },
["render"] = "12 + \\frac{-12}{13 + (-10 + 1\\frac{5}{8})} - \\frac{3\\frac{2}{9}}{1\\frac{4}{11}}",
["typ"] = "plus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.89, bodu=173, $$8 - \frac{2\frac{1}{10} - (-16)}{-9} - (1\frac{5}{12} - 3\frac{2}{7})=\textcolor{white}{11\frac{1109}{1260}}$$return {
["body"] = 173,
["id"] = "ZbrgBa_0513_0018",
["obtiznost"] = 1.49,
["reseni"] = {
["float"] = 11.880158730159,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14969,
["jmenovatel"] = 1260 },
["render"] = "\\frac{89814}{7560}",
["typ"] = "cislo" },
["tex"] = "11\\frac{1109}{1260}",
["x"] = 11,
["y"] = 1109,
["z"] = 1260 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 10 },
["render"] = "2\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{10} - (-16)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{10} - (-16)}{-9}",
["typ"] = "lomeno" },
["render"] = "8 - \\frac{2\\frac{1}{10} - (-16)}{-9}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} - 3\\frac{2}{7}",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{12} - 3\\frac{2}{7})",
["typ"] = "zavorka" },
["render"] = "8 - \\frac{2\\frac{1}{10} - (-16)}{-9} - (1\\frac{5}{12} - 3\\frac{2}{7})",
["typ"] = "minus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.9, bodu=209, $$\frac{\frac{\frac{1\frac{1}{7}}{2\frac{5}{12}}}{-10}}{6 + 4\frac{2}{8} + (-12 - 1\frac{1}{9})}=\textcolor{white}{\frac{1728}{104545}}$$return {
["body"] = 209,
["id"] = "QV7NSG_0513_0018",
["obtiznost"] = 1.7,
["reseni"] = {
["float"] = 0.016528767516381,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1728,
["jmenovatel"] = 104545 },
["render"] = "\\frac{-1728}{-104545}",
["typ"] = "cislo" },
["tex"] = "\\frac{1728}{104545}",
["y"] = 1728,
["z"] = 104545 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{7}}{2\\frac{5}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{1}{7}}{2\\frac{5}{12}}}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "-12 - 1\\frac{1}{9}",
["typ"] = "minus" },
["render"] = "4\\frac{2}{8} + (-12 - 1\\frac{1}{9})",
["typ"] = "plus" },
["render"] = "6 + 4\\frac{2}{8} + (-12 - 1\\frac{1}{9})",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{\\frac{1\\frac{1}{7}}{2\\frac{5}{12}}}{-10}}{6 + 4\\frac{2}{8} + (-12 - 1\\frac{1}{9})}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.91, bodu=144, $$\frac{(12 - \frac{9}{14}) \cdot 2\frac{2}{12}}{-14 - 1\frac{3}{4}}=\textcolor{white}{-1\frac{248}{441}}$$return {
["body"] = 144,
["id"] = "HZTNXu_0513_0018",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = -1.562358276644,
["objekt"] = {
["hodnota"] = {
["citatel"] = -689,
["jmenovatel"] = 441 },
["render"] = "\\frac{2756}{-1764}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{248}{441}",
["x"] = -1,
["y"] = 248,
["z"] = 441 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{9}{14}",
["typ"] = "lomeno" },
["render"] = "12 - \\frac{9}{14}",
["typ"] = "minus" },
["render"] = "(12 - \\frac{9}{14})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{2}{12}",
["typ"] = "cislo" },
["render"] = "(12 - \\frac{9}{14}) \\cdot 2\\frac{2}{12}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "-14 - 1\\frac{3}{4}",
["typ"] = "minus" },
["render"] = "\\frac{(12 - \\frac{9}{14}) \\cdot 2\\frac{2}{12}}{-14 - 1\\frac{3}{4}}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.92, bodu=89, $$\frac{17}{-13} + \frac{24 - 8}{-5 \cdot 9}=\textcolor{white}{-1\frac{388}{585}}$$return {
["body"] = 89,
["id"] = "kCD3WX_0513_0018",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = -1.6632478632479,
["objekt"] = {
["hodnota"] = {
["citatel"] = -973,
["jmenovatel"] = 585 },
["render"] = "\\frac{-973}{585}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{388}{585}",
["x"] = -1,
["y"] = 388,
["z"] = 585 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{17}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 1 },
["render"] = "24",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "24 - 8",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{24 - 8}{-5 \\cdot 9}",
["typ"] = "lomeno" },
["render"] = "\\frac{17}{-13} + \\frac{24 - 8}{-5 \\cdot 9}",
["typ"] = "plus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.93, bodu=148, $$(-14 + 12)^3 \cdot 19 - (-23 \cdot 4\frac{4}{8} - 2\frac{4}{12})=\textcolor{white}{-46\frac{1}{6}}$$return {
["body"] = 148,
["id"] = "JLWoRK_0513_0018",
["obtiznost"] = 1.3336,
["reseni"] = {
["float"] = -46.166666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -277,
["jmenovatel"] = 6 },
["render"] = "\\frac{-277}{6}",
["typ"] = "cislo" },
["tex"] = "-46\\frac{1}{6}",
["x"] = -46,
["y"] = 1,
["z"] = 6 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-14 + 12",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-14 + 12)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "(-14 + 12)^3 \\cdot 19",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-23 \\cdot 4\\frac{4}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "-23 \\cdot 4\\frac{4}{8} - 2\\frac{4}{12}",
["typ"] = "minus" },
["render"] = "(-23 \\cdot 4\\frac{4}{8} - 2\\frac{4}{12})",
["typ"] = "zavorka" },
["render"] = "(-14 + 12)^3 \\cdot 19 - (-23 \\cdot 4\\frac{4}{8} - 2\\frac{4}{12})",
["typ"] = "minus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.94, bodu=216, $$\frac{\frac{-8}{19 + 2\frac{4}{9}}}{3\frac{3}{12} \cdot 1\frac{1}{10} + 1\frac{5}{10}}=\textcolor{white}{-\frac{2880}{39179}}$$return {
["body"] = 216,
["id"] = "7fxS5g_0513_0018",
["obtiznost"] = 1.74,
["reseni"] = {
["float"] = -0.073508767451951,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2880,
["jmenovatel"] = 39179 },
["render"] = "\\frac{-2880}{39179}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2880}{39179}",
["y"] = -2880,
["z"] = 39179 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "19 + 2\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "\\frac{-8}{19 + 2\\frac{4}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{12} \\cdot 1\\frac{1}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{12} \\cdot 1\\frac{1}{10} + 1\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{-8}{19 + 2\\frac{4}{9}}}{3\\frac{3}{12} \\cdot 1\\frac{1}{10} + 1\\frac{5}{10}}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.95, bodu=151, $$\frac{2\frac{2}{4}}{\frac{\frac{-12}{\frac{2\frac{5}{9}}{-8}}}{-12}}=\textcolor{white}{-\frac{115}{144}}$$return {
["body"] = 151,
["id"] = "0mc8BU_0513_0018",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = -0.79861111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = -115,
["jmenovatel"] = 144 },
["render"] = "\\frac{115}{-144}",
["typ"] = "cislo" },
["tex"] = "-\\frac{115}{144}",
["y"] = -115,
["z"] = 144 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.95",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{9}}{-8}",
["typ"] = "lomeno" },
["render"] = "\\frac{-12}{\\frac{2\\frac{5}{9}}{-8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-12}{\\frac{2\\frac{5}{9}}{-8}}}{-12}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{2}{4}}{\\frac{\\frac{-12}{\\frac{2\\frac{5}{9}}{-8}}}{-12}}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.96, bodu=185, $$\frac{-15}{-12} - \frac{2\frac{5}{12} - (-16 + 3\frac{1}{6})}{3\frac{1}{5}}=\textcolor{white}{-3\frac{33}{64}}$$return {
["body"] = 185,
["id"] = "90mB0O_0513_0018",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = -3.515625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -225,
["jmenovatel"] = 64 },
["render"] = "\\frac{-900}{256}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{33}{64}",
["x"] = -3,
["y"] = 33,
["z"] = 64 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-16 + 3\\frac{1}{6}",
["typ"] = "plus" },
["render"] = "(-16 + 3\\frac{1}{6})",
["typ"] = "zavorka" },
["render"] = "2\\frac{5}{12} - (-16 + 3\\frac{1}{6})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{12} - (-16 + 3\\frac{1}{6})}{3\\frac{1}{5}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-15}{-12} - \\frac{2\\frac{5}{12} - (-16 + 3\\frac{1}{6})}{3\\frac{1}{5}}",
["typ"] = "minus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.97, bodu=129, $$\frac{8}{(10 \cdot \frac{-16}{-16})^2 \cdot 3\frac{5}{14}}=\textcolor{white}{\frac{28}{1175}}$$return {
["body"] = 129,
["id"] = "RknAMH_0513_0018",
["obtiznost"] = 1.2104,
["reseni"] = {
["float"] = 0.023829787234043,
["objekt"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 1175 },
["render"] = "\\frac{56}{2350}",
["typ"] = "cislo" },
["tex"] = "\\frac{28}{1175}",
["y"] = 28,
["z"] = 1175 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.97",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{-16}",
["typ"] = "lomeno" },
["render"] = "10 \\cdot \\frac{-16}{-16}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(10 \\cdot \\frac{-16}{-16})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 14 },
["render"] = "3\\frac{5}{14}",
["typ"] = "cislo" },
["render"] = "(10 \\cdot \\frac{-16}{-16})^2 \\cdot 3\\frac{5}{14}",
["typ"] = "krat" },
["render"] = "\\frac{8}{(10 \\cdot \\frac{-16}{-16})^2 \\cdot 3\\frac{5}{14}}",
["typ"] = "lomeno" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.98, bodu=260, $$(2\frac{1}{9} - 1\frac{1}{3}) \cdot 1\frac{5}{10} - (-9 \cdot 4\frac{3}{8} \cdot 3\frac{1}{5})=\textcolor{white}{127\frac{1}{6}}$$return {
["body"] = 260,
["id"] = "zjdnjD_0513_0018",
["obtiznost"] = 1.98,
["reseni"] = {
["float"] = 127.16666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 763,
["jmenovatel"] = 6 },
["render"] = "\\frac{763}{6}",
["typ"] = "cislo" },
["tex"] = "127\\frac{1}{6}",
["x"] = 127,
["y"] = 1,
["z"] = 6 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{9} - 1\\frac{1}{3}",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{9} - 1\\frac{1}{3})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "(2\\frac{1}{9} - 1\\frac{1}{3}) \\cdot 1\\frac{5}{10}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} \\cdot 3\\frac{1}{5}",
["typ"] = "krat" },
["render"] = "-9 \\cdot 4\\frac{3}{8} \\cdot 3\\frac{1}{5}",
["typ"] = "krat" },
["render"] = "(2\\frac{1}{9} - 1\\frac{1}{3}) \\cdot 1\\frac{5}{10} - (-9 \\cdot 4\\frac{3}{8} \\cdot 3\\frac{1}{5})",
["typ"] = "minus" } }
seed: f6MBTZ0i5c0EHm3c3VD7_0.99, bodu=262, $$-23 + 2\frac{1}{2} \cdot (3\frac{2}{9} + 4\frac{2}{7} \cdot (1\frac{4}{11} - (-16))) + 4\frac{2}{13}=\textcolor{white}{175\frac{4475}{18018}}$$return {
["body"] = 262,
["id"] = "ObDufd_0513_0018",
["obtiznost"] = 1.99,
["reseni"] = {
["float"] = 175.24836274836,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3157625,
["jmenovatel"] = 18018 },
["render"] = "\\frac{3157625}{18018}",
["typ"] = "cislo" },
["tex"] = "175\\frac{4475}{18018}",
["x"] = 175,
["y"] = 4475,
["z"] = 18018 },
["seed"] = "f6MBTZ0i5c0EHm3c3VD7_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{11} - (-16)",
["typ"] = "minus" },
["render"] = "(1\\frac{4}{11} - (-16))",
["typ"] = "zavorka" },
["render"] = "4\\frac{2}{7} \\cdot (1\\frac{4}{11} - (-16))",
["typ"] = "krat" },
["render"] = "3\\frac{2}{9} + 4\\frac{2}{7} \\cdot (1\\frac{4}{11} - (-16))",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{9} + 4\\frac{2}{7} \\cdot (1\\frac{4}{11} - (-16)))",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{2} \\cdot (3\\frac{2}{9} + 4\\frac{2}{7} \\cdot (1\\frac{4}{11} - (-16)))",
["typ"] = "krat" },
["render"] = "-23 + 2\\frac{1}{2} \\cdot (3\\frac{2}{9} + 4\\frac{2}{7} \\cdot (1\\frac{4}{11} - (-16)))",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 54,
["jmenovatel"] = 13 },
["render"] = "4\\frac{2}{13}",
["typ"] = "cislo" },
["render"] = "-23 + 2\\frac{1}{2} \\cdot (3\\frac{2}{9} + 4\\frac{2}{7} \\cdot (1\\frac{4}{11} - (-16))) + 4\\frac{2}{13}",
["typ"] = "plus" } }
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