- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: q7eh9SmSjdbJgBn1cqao_0, bodu=11, $$\frac{5}{(\frac{10}{4})^3}=\textcolor{white}{0{,}32}$$return {
["body"] = 11,
["id"] = "p0ggRj_0518_1840",
["obtiznost"] = 0.0532,
["reseni"] = {
["float"] = 0.32,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 25 },
["render"] = "\\frac{40}{125}",
["typ"] = "cislo" },
["tex"] = "\\frac{8}{25}",
["tex_float"] = "0{,}32",
["y"] = 8,
["z"] = 25 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{10}{4}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{10}{4})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{5}{(\\frac{10}{4})^3}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.01, bodu=10, $$\frac{(\frac{2}{6})^3}{6}=\textcolor{white}{\frac{1}{162}}$$return {
["body"] = 10,
["id"] = "6VHiWl_0518_1840",
["obtiznost"] = 0.0212,
["reseni"] = {
["float"] = 0.0061728395061728,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 162 },
["render"] = "\\frac{1}{162}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{162}",
["y"] = 1,
["z"] = 162 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.01",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{2}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{2}{6})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{2}{6})^3}{6}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.02, bodu=10, $$\frac{7}{\frac{-4}{-9}}=\textcolor{white}{15{,}75}$$return {
["body"] = 10,
["id"] = "TUs2Pq_0518_1840",
["obtiznost"] = 0.02,
["reseni"] = {
["float"] = 15.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 63,
["jmenovatel"] = 4 },
["render"] = "\\frac{63}{4}",
["typ"] = "cislo" },
["tex"] = "15\\frac{3}{4}",
["tex_float"] = "15{,}75",
["x"] = 15,
["y"] = 3,
["z"] = 4 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.02",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{-9}",
["typ"] = "lomeno" },
["render"] = "\\frac{7}{\\frac{-4}{-9}}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.03, bodu=5, $$5 \cdot 4 + 6 + 11=\textcolor{white}{37}$$return {
["body"] = 5,
["id"] = "Sb4tLQ_0518_1840",
["obtiznost"] = 0.03,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 1 },
["render"] = "\\frac{37}{1}",
["typ"] = "cislo" },
["tex"] = "37",
["x"] = 37 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "5 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "5 \\cdot 4 + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "5 \\cdot 4 + 6 + 11",
["typ"] = "plus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.04, bodu=5, $$7 \cdot 6 \cdot 10=\textcolor{white}{420}$$return {
["body"] = 5,
["id"] = "vAEmr3_0518_1840",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 420,
["jmenovatel"] = 1 },
["render"] = "\\frac{420}{1}",
["typ"] = "cislo" },
["tex"] = "420",
["x"] = 420 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "6 \\cdot 10",
["typ"] = "krat" },
["render"] = "7 \\cdot 6 \\cdot 10",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.05, bodu=21, $$6 \cdot 4\frac{4}{9} - (5 - 4)=\textcolor{white}{25\frac{2}{3}}$$return {
["body"] = 21,
["id"] = "nGTswD_0518_1840",
["obtiznost"] = 0.25,
["reseni"] = {
["float"] = 25.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 77,
["jmenovatel"] = 3 },
["render"] = "\\frac{77}{3}",
["typ"] = "cislo" },
["tex"] = "25\\frac{2}{3}",
["x"] = 25,
["y"] = 2,
["z"] = 3 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 4\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "5 - 4",
["typ"] = "minus" },
["render"] = "(5 - 4)",
["typ"] = "zavorka" },
["render"] = "6 \\cdot 4\\frac{4}{9} - (5 - 4)",
["typ"] = "minus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.06, bodu=11, $$\frac{\frac{7}{6}}{2}=\textcolor{white}{\frac{7}{12}}$$return {
["body"] = 11,
["id"] = "5jlaaM_0518_1840",
["obtiznost"] = 0.06,
["reseni"] = {
["float"] = 0.58333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 12 },
["render"] = "\\frac{7}{12}",
["typ"] = "cislo" },
["tex"] = "\\frac{7}{12}",
["y"] = 7,
["z"] = 12 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{7}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{7}{6}}{2}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.07, bodu=5, $$9 + 8 + 9 \cdot 7=\textcolor{white}{80}$$return {
["body"] = 5,
["id"] = "aa4bba_0518_1840",
["obtiznost"] = 0.07,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 80,
["jmenovatel"] = 1 },
["render"] = "\\frac{80}{1}",
["typ"] = "cislo" },
["tex"] = "80",
["x"] = 80 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 + 8",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 \\cdot 7",
["typ"] = "krat" },
["render"] = "9 + 8 + 9 \\cdot 7",
["typ"] = "plus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.08, bodu=6, $$(7 - 10)^3 - (7 + 8)=\textcolor{white}{-42}$$return {
["body"] = 6,
["id"] = "4dRJ7d_0518_1840",
["obtiznost"] = 0.0912,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -42,
["jmenovatel"] = 1 },
["render"] = "\\frac{-42}{1}",
["typ"] = "cislo" },
["tex"] = "-42",
["x"] = -42 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.08",
["zadani"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(7 - 10)^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 + 8",
["typ"] = "plus" },
["render"] = "(7 + 8)",
["typ"] = "zavorka" },
["render"] = "(7 - 10)^3 - (7 + 8)",
["typ"] = "minus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.09, bodu=6, $$5 \cdot -7 \cdot 8=\textcolor{white}{-280}$$return {
["body"] = 6,
["id"] = "nrnl1H_0518_1840",
["obtiznost"] = 0.09,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -280,
["jmenovatel"] = 1 },
["render"] = "\\frac{-280}{1}",
["typ"] = "cislo" },
["tex"] = "-280",
["tex_float"] = "-280",
["x"] = -280 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["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 \\cdot 8",
["typ"] = "krat" },
["render"] = "5 \\cdot -7 \\cdot 8",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.1, bodu=12, $$-8 + \frac{4}{11 + 4}=\textcolor{white}{-7\frac{11}{15}}$$return {
["body"] = 12,
["id"] = "MaTluX_0518_1840",
["obtiznost"] = 0.1,
["reseni"] = {
["float"] = -7.7333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -116,
["jmenovatel"] = 15 },
["render"] = "\\frac{-116}{15}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{11}{15}",
["x"] = -7,
["y"] = 11,
["z"] = 15 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.1",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "11 + 4",
["typ"] = "plus" },
["render"] = "\\frac{4}{11 + 4}",
["typ"] = "lomeno" },
["render"] = "-8 + \\frac{4}{11 + 4}",
["typ"] = "plus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.11, bodu=6, $$9 \cdot 10 + 5 + 4=\textcolor{white}{99}$$return {
["body"] = 6,
["id"] = "nu9nKB_0518_1840",
["obtiznost"] = 0.11,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 99,
["jmenovatel"] = 1 },
["render"] = "\\frac{99}{1}",
["typ"] = "cislo" },
["tex"] = "99",
["x"] = 99 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.11",
["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 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "9 \\cdot 10 + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "9 \\cdot 10 + 5 + 4",
["typ"] = "plus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.12, bodu=13, $$7 \cdot \frac{7}{7 + 2}=\textcolor{white}{5\frac{4}{9}}$$return {
["body"] = 13,
["id"] = "cvaVVz_0518_1840",
["obtiznost"] = 0.12,
["reseni"] = {
["float"] = 5.4444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 9 },
["render"] = "\\frac{49}{9}",
["typ"] = "cislo" },
["tex"] = "5\\frac{4}{9}",
["x"] = 5,
["y"] = 4,
["z"] = 9 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.12",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "7 + 2",
["typ"] = "plus" },
["render"] = "\\frac{7}{7 + 2}",
["typ"] = "lomeno" },
["render"] = "7 \\cdot \\frac{7}{7 + 2}",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.13, bodu=14, $$\frac{8}{10} \cdot 5=\textcolor{white}{4}$$return {
["body"] = 14,
["id"] = "LIwSYE_0518_1840",
["obtiznost"] = 0.13,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "\\frac{20}{5}",
["typ"] = "cislo" },
["tex"] = "4",
["tex_float"] = "4",
["x"] = 4 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{8}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{8}{10} \\cdot 5",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.14, bodu=7, $$(7 \cdot 7 + 9) \cdot 9=\textcolor{white}{522}$$return {
["body"] = 7,
["id"] = "du2DM6_0518_1840",
["obtiznost"] = 0.14,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 522,
["jmenovatel"] = 1 },
["render"] = "\\frac{522}{1}",
["typ"] = "cislo" },
["tex"] = "522",
["tex_float"] = "522",
["x"] = 522 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.14",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 \\cdot 7 + 9",
["typ"] = "plus" },
["render"] = "(7 \\cdot 7 + 9)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(7 \\cdot 7 + 9) \\cdot 9",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.15, bodu=8, $$(10 - 7)^4 \cdot (9 + 7)=\textcolor{white}{1296}$$return {
["body"] = 8,
["id"] = "tJXNK1_0518_1840",
["obtiznost"] = 0.1828,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1296,
["jmenovatel"] = 1 },
["render"] = "\\frac{1296}{1}",
["typ"] = "cislo" },
["tex"] = "1296",
["tex_float"] = "1296",
["x"] = 1296 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.15",
["zadani"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 4,
["render"] = "(10 - 7)^4",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 + 7",
["typ"] = "plus" },
["render"] = "(9 + 7)",
["typ"] = "zavorka" },
["render"] = "(10 - 7)^4 \\cdot (9 + 7)",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.16, bodu=29, $$\frac{7 \cdot 7 + 2\frac{5}{6}}{8}=\textcolor{white}{6\frac{23}{48}}$$return {
["body"] = 29,
["id"] = "n6oZPk_0518_1840",
["obtiznost"] = 0.36,
["reseni"] = {
["float"] = 6.4791666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 311,
["jmenovatel"] = 48 },
["render"] = "\\frac{311}{48}",
["typ"] = "cislo" },
["tex"] = "6\\frac{23}{48}",
["x"] = 6,
["y"] = 23,
["z"] = 48 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 6 },
["render"] = "2\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "7 \\cdot 7 + 2\\frac{5}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{7 \\cdot 7 + 2\\frac{5}{6}}{8}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.17, bodu=11, $$-8 \cdot -11 + (7 + 9)^2=\textcolor{white}{344}$$return {
["body"] = 11,
["id"] = "6PhzGl_0518_1840",
["obtiznost"] = 0.2728,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 344,
["jmenovatel"] = 1 },
["render"] = "\\frac{344}{1}",
["typ"] = "cislo" },
["tex"] = "344",
["tex_float"] = "344",
["x"] = 344 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(7 + 9)^2",
["typ"] = "mocnina" },
["render"] = "-8 \\cdot -11 + (7 + 9)^2",
["typ"] = "plus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.18, bodu=41, $$-6 \cdot 7 - (-5 + 1\frac{4}{5})^2=\textcolor{white}{-52{,}24}$$return {
["body"] = 41,
["id"] = "a6Hvv2_0518_1840",
["obtiznost"] = 0.4924,
["reseni"] = {
["float"] = -52.24,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1306,
["jmenovatel"] = 25 },
["render"] = "\\frac{-1306}{25}",
["typ"] = "cislo" },
["tex"] = "-52\\frac{6}{25}",
["tex_float"] = "-52{,}24",
["x"] = -52,
["y"] = 6,
["z"] = 25 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.18",
["zadani"] = {
["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"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "-5 + 1\\frac{4}{5}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-5 + 1\\frac{4}{5})^2",
["typ"] = "mocnina" },
["render"] = "-6 \\cdot 7 - (-5 + 1\\frac{4}{5})^2",
["typ"] = "minus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.19, bodu=8, $$3 \cdot -13 + 5 - 9=\textcolor{white}{-43}$$return {
["body"] = 8,
["id"] = "GQVl0n_0518_1840",
["obtiznost"] = 0.19,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -43,
["jmenovatel"] = 1 },
["render"] = "\\frac{-43}{1}",
["typ"] = "cislo" },
["tex"] = "-43",
["tex_float"] = "-43",
["x"] = -43 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "3 \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["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"] = "3 \\cdot -13 + 5 - 9",
["typ"] = "plus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.2, bodu=18, $$\frac{-5}{\frac{5}{7}} + 9=\textcolor{white}{2}$$return {
["body"] = 18,
["id"] = "Yn13r6_0518_1840",
["obtiznost"] = 0.2,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "\\frac{2}{1}",
["typ"] = "cislo" },
["tex"] = "2",
["tex_float"] = "2",
["x"] = 2 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{5}{7}",
["typ"] = "lomeno" },
["render"] = "\\frac{-5}{\\frac{5}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{\\frac{5}{7}} + 9",
["typ"] = "plus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.21, bodu=33, $$\frac{3\frac{2}{6} \cdot 12}{-10 + 3}=\textcolor{white}{-5\frac{5}{7}}$$return {
["body"] = 33,
["id"] = "nQyOFN_0518_1840",
["obtiznost"] = 0.41,
["reseni"] = {
["float"] = -5.7142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -40,
["jmenovatel"] = 7 },
["render"] = "\\frac{40}{-7}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{5}{7}",
["x"] = -5,
["y"] = 5,
["z"] = 7 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-10 + 3",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{2}{6} \\cdot 12}{-10 + 3}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.22, bodu=51, $$(-12 + 1\frac{3}{6}) \cdot ((13 + 8)^2 + 4)=\textcolor{white}{-4672{,}5}$$return {
["body"] = 51,
["id"] = "97mElE_0518_1840",
["obtiznost"] = 0.5968,
["reseni"] = {
["float"] = -4672.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9345,
["jmenovatel"] = 2 },
["render"] = "\\frac{-9345}{2}",
["typ"] = "cislo" },
["tex"] = "-4672\\frac{1}{2}",
["tex_float"] = "-4672{,}5",
["x"] = -4672,
["y"] = 1,
["z"] = 2 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.22",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "-12 + 1\\frac{3}{6}",
["typ"] = "plus" },
["render"] = "(-12 + 1\\frac{3}{6})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "13 + 8",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(13 + 8)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(13 + 8)^2 + 4",
["typ"] = "plus" },
["render"] = "((13 + 8)^2 + 4)",
["typ"] = "zavorka" },
["render"] = "(-12 + 1\\frac{3}{6}) \\cdot ((13 + 8)^2 + 4)",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.23, bodu=9, $$(10 - 11) \cdot (3 - 8)=\textcolor{white}{5}$$return {
["body"] = 9,
["id"] = "wr5u7z_0518_1840",
["obtiznost"] = 0.23,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "\\frac{5}{1}",
["typ"] = "cislo" },
["tex"] = "5",
["x"] = 5 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.23",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "10 - 11",
["typ"] = "minus" },
["render"] = "(10 - 11)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3 - 8",
["typ"] = "minus" },
["render"] = "(3 - 8)",
["typ"] = "zavorka" },
["render"] = "(10 - 11) \\cdot (3 - 8)",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.24, bodu=36, $$10 \cdot 6 \cdot (12 - 4\frac{5}{9})=\textcolor{white}{446\frac{2}{3}}$$return {
["body"] = 36,
["id"] = "jeqd70_0518_1840",
["obtiznost"] = 0.44,
["reseni"] = {
["float"] = 446.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1340,
["jmenovatel"] = 3 },
["render"] = "\\frac{4020}{9}",
["typ"] = "cislo" },
["tex"] = "446\\frac{2}{3}",
["x"] = 446,
["y"] = 2,
["z"] = 3 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "10 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "12 - 4\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "(12 - 4\\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "10 \\cdot 6 \\cdot (12 - 4\\frac{5}{9})",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.25, bodu=57, $$5 - (-9 + 4\frac{4}{9} + (-5 - 2\frac{3}{7}))=\textcolor{white}{16\frac{62}{63}}$$return {
["body"] = 57,
["id"] = "cQZHt8_0518_1840",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = 16.984126984127,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1070,
["jmenovatel"] = 63 },
["render"] = "\\frac{1070}{63}",
["typ"] = "cislo" },
["tex"] = "16\\frac{62}{63}",
["x"] = 16,
["y"] = 62,
["z"] = 63 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.25",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-9 + 4\\frac{4}{9}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "-5 - 2\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "-9 + 4\\frac{4}{9} + (-5 - 2\\frac{3}{7})",
["typ"] = "plus" },
["render"] = "(-9 + 4\\frac{4}{9} + (-5 - 2\\frac{3}{7}))",
["typ"] = "zavorka" },
["render"] = "5 - (-9 + 4\\frac{4}{9} + (-5 - 2\\frac{3}{7}))",
["typ"] = "minus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.26, bodu=38, $$2\frac{2}{5} + \frac{8}{8 \cdot 3}=\textcolor{white}{2\frac{11}{15}}$$return {
["body"] = 38,
["id"] = "FD7jwf_0518_1840",
["obtiznost"] = 0.46,
["reseni"] = {
["float"] = 2.7333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 15 },
["render"] = "\\frac{41}{15}",
["typ"] = "cislo" },
["tex"] = "2\\frac{11}{15}",
["x"] = 2,
["y"] = 11,
["z"] = 15 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.26",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "8 \\cdot 3",
["typ"] = "krat" },
["render"] = "\\frac{8}{8 \\cdot 3}",
["typ"] = "lomeno" },
["render"] = "2\\frac{2}{5} + \\frac{8}{8 \\cdot 3}",
["typ"] = "plus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.27, bodu=22, $$-10 \cdot \frac{11}{-9 + 4}=\textcolor{white}{22}$$return {
["body"] = 22,
["id"] = "WoD3gA_0518_1840",
["obtiznost"] = 0.27,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "\\frac{110}{5}",
["typ"] = "cislo" },
["tex"] = "22",
["x"] = 22 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.27",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-9 + 4",
["typ"] = "plus" },
["render"] = "\\frac{11}{-9 + 4}",
["typ"] = "lomeno" },
["render"] = "-10 \\cdot \\frac{11}{-9 + 4}",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.28, bodu=60, $$\frac{\frac{4\frac{3}{7}}{1\frac{5}{11}}}{7 + 14}=\textcolor{white}{\frac{341}{2352}}$$return {
["body"] = 60,
["id"] = "sQ1qoF_0518_1840",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = 0.14498299319728,
["objekt"] = {
["hodnota"] = {
["citatel"] = 341,
["jmenovatel"] = 2352 },
["render"] = "\\frac{341}{2352}",
["typ"] = "cislo" },
["tex"] = "\\frac{341}{2352}",
["y"] = 341,
["z"] = 2352 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{7}}{1\\frac{5}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "7 + 14",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{4\\frac{3}{7}}{1\\frac{5}{11}}}{7 + 14}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.29, bodu=61, $$\frac{-9 - 3\frac{5}{7} - (-10)}{4\frac{5}{8}}=\textcolor{white}{-\frac{152}{259}}$$return {
["body"] = 61,
["id"] = "YfcCoH_0518_1840",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = -0.58687258687259,
["objekt"] = {
["hodnota"] = {
["citatel"] = -152,
["jmenovatel"] = 259 },
["render"] = "\\frac{-152}{259}",
["typ"] = "cislo" },
["tex"] = "-\\frac{152}{259}",
["y"] = -152,
["z"] = 259 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "-9 - 3\\frac{5}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-9 - 3\\frac{5}{7} - (-10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-9 - 3\\frac{5}{7} - (-10)}{4\\frac{5}{8}}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.3, bodu=30, $$(\frac{-9 + 7}{-6} \cdot 13)^2=\textcolor{white}{18\frac{7}{9}}$$return {
["body"] = 30,
["id"] = "d1yg2s_0518_1840",
["obtiznost"] = 0.3712,
["reseni"] = {
["float"] = 18.777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 169,
["jmenovatel"] = 9 },
["render"] = "\\frac{169}{9}",
["typ"] = "cislo" },
["tex"] = "18\\frac{7}{9}",
["x"] = 18,
["y"] = 7,
["z"] = 9 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.3",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-9 + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{-9 + 7}{-6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-9 + 7}{-6} \\cdot 13",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(\\frac{-9 + 7}{-6} \\cdot 13)^2",
["typ"] = "mocnina" } }
seed: q7eh9SmSjdbJgBn1cqao_0.31, bodu=53, $$(\frac{\frac{11}{\frac{-5}{2\frac{2}{4}}}}{6})^2=\textcolor{white}{\frac{121}{144}}$$return {
["body"] = 53,
["id"] = "lYk2n5_0518_1840",
["obtiznost"] = 0.616,
["reseni"] = {
["float"] = 0.84027777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 121,
["jmenovatel"] = 144 },
["render"] = "\\frac{121}{144}",
["typ"] = "cislo" },
["tex"] = "\\frac{121}{144}",
["y"] = 121,
["z"] = 144 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.31",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{2\\frac{2}{4}}",
["typ"] = "lomeno" },
["render"] = "\\frac{11}{\\frac{-5}{2\\frac{2}{4}}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{11}{\\frac{-5}{2\\frac{2}{4}}}}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{\\frac{11}{\\frac{-5}{2\\frac{2}{4}}}}{6})^2",
["typ"] = "mocnina" } }
seed: q7eh9SmSjdbJgBn1cqao_0.32, bodu=59, $$\frac{\frac{8}{9}}{(\frac{10}{8})^4}=\textcolor{white}{\frac{2048}{5625}}$$return {
["body"] = 59,
["id"] = "c9NYlm_0518_1840",
["obtiznost"] = 0.6724,
["reseni"] = {
["float"] = 0.36408888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2048,
["jmenovatel"] = 5625 },
["render"] = "\\frac{2048}{5625}",
["typ"] = "cislo" },
["tex"] = "\\frac{2048}{5625}",
["y"] = 2048,
["z"] = 5625 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{8}{9}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 4,
["render"] = "(\\frac{10}{8})^4",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{8}{9}}{(\\frac{10}{8})^4}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.33, bodu=70, $$(3\frac{4}{10} + 2\frac{2}{4}) \cdot ((\frac{8}{-6})^3 - 7)=\textcolor{white}{-55\frac{77}{270}}$$return {
["body"] = 70,
["id"] = "48rdwt_0518_1840",
["obtiznost"] = 0.7664,
["reseni"] = {
["float"] = -55.285185185185,
["objekt"] = {
["hodnota"] = {
["citatel"] = -14927,
["jmenovatel"] = 270 },
["render"] = "\\frac{-14927}{270}",
["typ"] = "cislo" },
["tex"] = "-55\\frac{77}{270}",
["x"] = -55,
["y"] = 77,
["z"] = 270 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.33",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} + 2\\frac{2}{4}",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{10} + 2\\frac{2}{4})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-6}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{8}{-6})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(\\frac{8}{-6})^3 - 7",
["typ"] = "minus" },
["render"] = "((\\frac{8}{-6})^3 - 7)",
["typ"] = "zavorka" },
["render"] = "(3\\frac{4}{10} + 2\\frac{2}{4}) \\cdot ((\\frac{8}{-6})^3 - 7)",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.34, bodu=67, $$13 \cdot (4\frac{5}{9} + 11) - (4\frac{2}{9} + 10)=\textcolor{white}{188}$$return {
["body"] = 67,
["id"] = "xZ12B0_0518_1840",
["obtiznost"] = 0.74,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 188,
["jmenovatel"] = 1 },
["render"] = "\\frac{1692}{9}",
["typ"] = "cislo" },
["tex"] = "188",
["tex_float"] = "188",
["x"] = 188 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{9} + 11",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{9} + 11)",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (4\\frac{5}{9} + 11)",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{9} + 10",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{9} + 10)",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (4\\frac{5}{9} + 11) - (4\\frac{2}{9} + 10)",
["typ"] = "minus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.35, bodu=14, $$(9 - 11 - 7) \cdot 6=\textcolor{white}{-54}$$return {
["body"] = 14,
["id"] = "a2B3yp_0518_1840",
["obtiznost"] = 0.35,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -54,
["jmenovatel"] = 1 },
["render"] = "\\frac{-54}{1}",
["typ"] = "cislo" },
["tex"] = "-54",
["x"] = -54 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.35",
["zadani"] = {
["c1"] = {
["obsah"] = {
["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"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 - 11 - 7",
["typ"] = "minus" },
["render"] = "(9 - 11 - 7)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(9 - 11 - 7) \\cdot 6",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.36, bodu=47, $$\frac{4\frac{5}{10}}{9 + \frac{-10}{6}}=\textcolor{white}{\frac{27}{44}}$$return {
["body"] = 47,
["id"] = "zAQBLl_0518_1840",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = 0.61363636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 44 },
["render"] = "\\frac{27}{44}",
["typ"] = "cislo" },
["tex"] = "\\frac{27}{44}",
["y"] = 27,
["z"] = 44 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.36",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{6}",
["typ"] = "lomeno" },
["render"] = "9 + \\frac{-10}{6}",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{5}{10}}{9 + \\frac{-10}{6}}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.37, bodu=34, $$\frac{\frac{13}{(9 + (-4))^3}}{11}=\textcolor{white}{\frac{13}{1375}}$$return {
["body"] = 34,
["id"] = "vhm0eH_0518_1840",
["obtiznost"] = 0.4204,
["reseni"] = {
["float"] = 0.0094545454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1375 },
["render"] = "\\frac{13}{1375}",
["typ"] = "cislo" },
["tex"] = "\\frac{13}{1375}",
["y"] = 13,
["z"] = 1375 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "9 + (-4)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(9 + (-4))^3",
["typ"] = "mocnina" },
["render"] = "\\frac{13}{(9 + (-4))^3}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{13}{(9 + (-4))^3}}{11}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.38, bodu=15, $$(11 + (-10 + (-4))) \cdot ((6 - 8)^3 + 9)^4=\textcolor{white}{-3}$$return {
["body"] = 15,
["id"] = "B5jNeB_0518_1840",
["obtiznost"] = 0.3844,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "\\frac{-3}{1}",
["typ"] = "cislo" },
["tex"] = "-3",
["x"] = -3 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.38",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-10 + (-4)",
["typ"] = "plus" },
["render"] = "11 + (-10 + (-4))",
["typ"] = "plus" },
["render"] = "(11 + (-10 + (-4)))",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 - 8",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(6 - 8)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(6 - 8)^3 + 9",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "((6 - 8)^3 + 9)^4",
["typ"] = "mocnina" },
["render"] = "(11 + (-10 + (-4))) \\cdot ((6 - 8)^3 + 9)^4",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.39, bodu=15, $$-15 \cdot (14 - 12) \cdot -11=\textcolor{white}{330}$$return {
["body"] = 15,
["id"] = "G4CJHj_0518_1840",
["obtiznost"] = 0.39,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 330,
["jmenovatel"] = 1 },
["render"] = "\\frac{330}{1}",
["typ"] = "cislo" },
["tex"] = "330",
["x"] = 330 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "14 - 12",
["typ"] = "minus" },
["render"] = "(14 - 12)",
["typ"] = "zavorka" },
["render"] = "-15 \\cdot (14 - 12)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-15 \\cdot (14 - 12) \\cdot -11",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.4, bodu=51, $$-9 - (-6) + 7 - 3\frac{2}{7} \cdot -4=\textcolor{white}{17\frac{1}{7}}$$return {
["body"] = 51,
["id"] = "ceutVd_0518_1840",
["obtiznost"] = 0.6,
["reseni"] = {
["float"] = 17.142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 120,
["jmenovatel"] = 7 },
["render"] = "\\frac{120}{7}",
["typ"] = "cislo" },
["tex"] = "17\\frac{1}{7}",
["x"] = 17,
["y"] = 1,
["z"] = 7 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-9 - (-6)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-9 - (-6) + 7",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{7} \\cdot -4",
["typ"] = "krat" },
["render"] = "-9 - (-6) + 7 - 3\\frac{2}{7} \\cdot -4",
["typ"] = "minus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.41, bodu=33, $$8 \cdot \frac{-12}{\frac{10}{7}}=\textcolor{white}{-67{,}2}$$return {
["body"] = 33,
["id"] = "8AmUlq_0518_1840",
["obtiznost"] = 0.41,
["reseni"] = {
["float"] = -67.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = -336,
["jmenovatel"] = 5 },
["render"] = "\\frac{-336}{5}",
["typ"] = "cislo" },
["tex"] = "-67\\frac{1}{5}",
["tex_float"] = "-67{,}2",
["x"] = -67,
["y"] = 1,
["z"] = 5 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.41",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{10}{7}",
["typ"] = "lomeno" },
["render"] = "\\frac{-12}{\\frac{10}{7}}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot \\frac{-12}{\\frac{10}{7}}",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.42, bodu=53, $$2\frac{5}{9} - (\frac{-8 - (-8)}{-9})^2 - 9=\textcolor{white}{-6\frac{4}{9}}$$return {
["body"] = 53,
["id"] = "sX1Xep_0518_1840",
["obtiznost"] = 0.6204,
["reseni"] = {
["float"] = -6.4444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -58,
["jmenovatel"] = 9 },
["render"] = "\\frac{-58}{9}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{4}{9}",
["x"] = -6,
["y"] = 4,
["z"] = 9 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["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"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-8 - (-8)}{-9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-8 - (-8)}{-9})^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{5}{9} - (\\frac{-8 - (-8)}{-9})^2",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{9} - (\\frac{-8 - (-8)}{-9})^2 - 9",
["typ"] = "minus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.43, bodu=78, $$8 + \frac{4}{10 - \frac{1\frac{2}{4}}{2\frac{1}{5}}}=\textcolor{white}{8\frac{88}{205}}$$return {
["body"] = 78,
["id"] = "gn5oFg_0518_1840",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = 8.4292682926829,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1728,
["jmenovatel"] = 205 },
["render"] = "\\frac{1728}{205}",
["typ"] = "cislo" },
["tex"] = "8\\frac{88}{205}",
["x"] = 8,
["y"] = 88,
["z"] = 205 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.43",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{4}}{2\\frac{1}{5}}",
["typ"] = "lomeno" },
["render"] = "10 - \\frac{1\\frac{2}{4}}{2\\frac{1}{5}}",
["typ"] = "minus" },
["render"] = "\\frac{4}{10 - \\frac{1\\frac{2}{4}}{2\\frac{1}{5}}}",
["typ"] = "lomeno" },
["render"] = "8 + \\frac{4}{10 - \\frac{1\\frac{2}{4}}{2\\frac{1}{5}}}",
["typ"] = "plus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.44, bodu=79, $$4\frac{3}{9} - 2\frac{1}{5} \cdot -13 + (-8 \cdot 9)=\textcolor{white}{-39\frac{1}{15}}$$return {
["body"] = 79,
["id"] = "iLyAl9_0518_1840",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = -39.066666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -586,
["jmenovatel"] = 15 },
["render"] = "\\frac{-586}{15}",
["typ"] = "cislo" },
["tex"] = "-39\\frac{1}{15}",
["x"] = -39,
["y"] = 1,
["z"] = 15 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} \\cdot -13",
["typ"] = "krat" },
["render"] = "4\\frac{3}{9} - 2\\frac{1}{5} \\cdot -13",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 9",
["typ"] = "krat" },
["render"] = "4\\frac{3}{9} - 2\\frac{1}{5} \\cdot -13 + (-8 \\cdot 9)",
["typ"] = "plus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.45, bodu=57, $$\frac{(-16 + 6) \cdot 7}{\frac{8}{3\frac{3}{7}}}=\textcolor{white}{-30}$$return {
["body"] = 57,
["id"] = "wEWfLS_0518_1840",
["obtiznost"] = 0.65,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -30,
["jmenovatel"] = 1 },
["render"] = "\\frac{-210}{7}",
["typ"] = "cislo" },
["tex"] = "-30",
["tex_float"] = "-30",
["x"] = -30 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-16 + 6",
["typ"] = "plus" },
["render"] = "(-16 + 6)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(-16 + 6) \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{3\\frac{3}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{(-16 + 6) \\cdot 7}{\\frac{8}{3\\frac{3}{7}}}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.46, bodu=38, $$\frac{-15}{(\frac{-8 \cdot 2\frac{5}{5}}{6})^2}=\textcolor{white}{-\frac{15}{16}}$$return {
["body"] = 38,
["id"] = "2G1ZEv_0518_1840",
["obtiznost"] = 0.4668,
["reseni"] = {
["float"] = -0.9375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 16 },
["render"] = "\\frac{-15}{16}",
["typ"] = "cislo" },
["tex"] = "-\\frac{15}{16}",
["y"] = -15,
["z"] = 16 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.46",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "2\\frac{5}{5}",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 2\\frac{5}{5}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-8 \\cdot 2\\frac{5}{5}}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-8 \\cdot 2\\frac{5}{5}}{6})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-15}{(\\frac{-8 \\cdot 2\\frac{5}{5}}{6})^2}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.47, bodu=19, $$2 - (-14) - (6 - 4 \cdot -9)=\textcolor{white}{-26}$$return {
["body"] = 19,
["id"] = "znoszE_0518_1840",
["obtiznost"] = 0.47,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -26,
["jmenovatel"] = 1 },
["render"] = "\\frac{-26}{1}",
["typ"] = "cislo" },
["tex"] = "-26",
["tex_float"] = "-26",
["x"] = -26 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "2 - (-14)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "4 \\cdot -9",
["typ"] = "krat" },
["render"] = "6 - 4 \\cdot -9",
["typ"] = "minus" },
["render"] = "(6 - 4 \\cdot -9)",
["typ"] = "zavorka" },
["render"] = "2 - (-14) - (6 - 4 \\cdot -9)",
["typ"] = "minus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.48, bodu=72, $$(-7 - 9)^2 \cdot -6 \cdot 9 + 3\frac{2}{9}=\textcolor{white}{-13820\frac{7}{9}}$$return {
["body"] = 72,
["id"] = "z43ktt_0518_1840",
["obtiznost"] = 0.7828,
["reseni"] = {
["float"] = -13820.777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = -124387,
["jmenovatel"] = 9 },
["render"] = "\\frac{-124387}{9}",
["typ"] = "cislo" },
["tex"] = "-13820\\frac{7}{9}",
["x"] = -13820,
["y"] = 7,
["z"] = 9 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-7 - 9",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-7 - 9)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 9",
["typ"] = "krat" },
["render"] = "(-7 - 9)^2 \\cdot -6 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "(-7 - 9)^2 \\cdot -6 \\cdot 9 + 3\\frac{2}{9}",
["typ"] = "plus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.49, bodu=49, $$\frac{(3 + 12)^2}{\frac{-15}{7 \cdot -11}}=\textcolor{white}{1155}$$return {
["body"] = 49,
["id"] = "Vvajbj_0518_1840",
["obtiznost"] = 0.5804,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1155,
["jmenovatel"] = 1 },
["render"] = "\\frac{17325}{15}",
["typ"] = "cislo" },
["tex"] = "1155",
["tex_float"] = "1155",
["x"] = 1155 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.49",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3 + 12",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(3 + 12)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["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"] = "\\frac{-15}{7 \\cdot -11}",
["typ"] = "lomeno" },
["render"] = "\\frac{(3 + 12)^2}{\\frac{-15}{7 \\cdot -11}}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.5, bodu=66, $$\frac{(-5 + 14)^2 \cdot \frac{16}{15}}{2\frac{1}{3}}=\textcolor{white}{37\frac{1}{35}}$$return {
["body"] = 66,
["id"] = "5iXc7X_0518_1840",
["obtiznost"] = 0.7328,
["reseni"] = {
["float"] = 37.028571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1296,
["jmenovatel"] = 35 },
["render"] = "\\frac{1296}{35}",
["typ"] = "cislo" },
["tex"] = "37\\frac{1}{35}",
["x"] = 37,
["y"] = 1,
["z"] = 35 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-5 + 14",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-5 + 14)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{16}{15}",
["typ"] = "lomeno" },
["render"] = "(-5 + 14)^2 \\cdot \\frac{16}{15}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{(-5 + 14)^2 \\cdot \\frac{16}{15}}{2\\frac{1}{3}}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.51, bodu=88, $$\frac{9}{11 - (-9)} + 2\frac{5}{10} \cdot 4\frac{5}{9}=\textcolor{white}{11\frac{151}{180}}$$return {
["body"] = 88,
["id"] = "pKyn7a_0518_1840",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = 11.838888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2131,
["jmenovatel"] = 180 },
["render"] = "\\frac{4262}{360}",
["typ"] = "cislo" },
["tex"] = "11\\frac{151}{180}",
["x"] = 11,
["y"] = 151,
["z"] = 180 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "11 - (-9)",
["typ"] = "minus" },
["render"] = "\\frac{9}{11 - (-9)}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} \\cdot 4\\frac{5}{9}",
["typ"] = "krat" },
["render"] = "\\frac{9}{11 - (-9)} + 2\\frac{5}{10} \\cdot 4\\frac{5}{9}",
["typ"] = "plus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.52, bodu=146, $$2\frac{2}{4} + 4\frac{1}{4} + 15 + 1\frac{1}{4} \cdot 4\frac{1}{5} - 3=\textcolor{white}{24}$$return {
["body"] = 146,
["id"] = "Gq6x6b_0518_1840",
["obtiznost"] = 1.32,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 1 },
["render"] = "\\frac{24}{1}",
["typ"] = "cislo" },
["tex"] = "24",
["tex_float"] = "24",
["x"] = 24 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} + 4\\frac{1}{4}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} + 4\\frac{1}{4} + 15",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{4} \\cdot 4\\frac{1}{5}",
["typ"] = "krat" },
["render"] = "2\\frac{2}{4} + 4\\frac{1}{4} + 15 + 1\\frac{1}{4} \\cdot 4\\frac{1}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} + 4\\frac{1}{4} + 15 + 1\\frac{1}{4} \\cdot 4\\frac{1}{5} - 3",
["typ"] = "minus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.53, bodu=22, $$-6 \cdot (-12 - 5) - (10 + 8 + 8)=\textcolor{white}{76}$$return {
["body"] = 22,
["id"] = "zovrbI_0518_1840",
["obtiznost"] = 0.53,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 76,
["jmenovatel"] = 1 },
["render"] = "\\frac{76}{1}",
["typ"] = "cislo" },
["tex"] = "76",
["tex_float"] = "76",
["x"] = 76 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-12 - 5",
["typ"] = "minus" },
["render"] = "(-12 - 5)",
["typ"] = "zavorka" },
["render"] = "-6 \\cdot (-12 - 5)",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "10 + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "10 + 8 + 8",
["typ"] = "plus" },
["render"] = "(10 + 8 + 8)",
["typ"] = "zavorka" },
["render"] = "-6 \\cdot (-12 - 5) - (10 + 8 + 8)",
["typ"] = "minus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.54, bodu=67, $$\frac{-17}{18 \cdot (-11 + (-16) + 4\frac{5}{13})}=\textcolor{white}{\frac{221}{5292}}$$return {
["body"] = 67,
["id"] = "GYXbWK_0518_1840",
["obtiznost"] = 0.74,
["reseni"] = {
["float"] = 0.041761148904006,
["objekt"] = {
["hodnota"] = {
["citatel"] = 221,
["jmenovatel"] = 5292 },
["render"] = "\\frac{-221}{-5292}",
["typ"] = "cislo" },
["tex"] = "\\frac{221}{5292}",
["y"] = 221,
["z"] = 5292 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.54",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-11 + (-16)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "-11 + (-16) + 4\\frac{5}{13}",
["typ"] = "plus" },
["render"] = "(-11 + (-16) + 4\\frac{5}{13})",
["typ"] = "zavorka" },
["render"] = "18 \\cdot (-11 + (-16) + 4\\frac{5}{13})",
["typ"] = "krat" },
["render"] = "\\frac{-17}{18 \\cdot (-11 + (-16) + 4\\frac{5}{13})}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.55, bodu=70, $$13 + 4\frac{5}{10} + (4 - (8 + 3))^2 - (-13)=\textcolor{white}{79{,}5}$$return {
["body"] = 70,
["id"] = "f8UtcI_0518_1840",
["obtiznost"] = 0.77,
["reseni"] = {
["float"] = 79.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 159,
["jmenovatel"] = 2 },
["render"] = "\\frac{159}{2}",
["typ"] = "cislo" },
["tex"] = "79\\frac{1}{2}",
["tex_float"] = "79{,}5",
["x"] = 79,
["y"] = 1,
["z"] = 2 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "13 + 4\\frac{5}{10}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "8 + 3",
["typ"] = "plus" },
["render"] = "(8 + 3)",
["typ"] = "zavorka" },
["render"] = "4 - (8 + 3)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(4 - (8 + 3))^2",
["typ"] = "mocnina" },
["render"] = "13 + 4\\frac{5}{10} + (4 - (8 + 3))^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "13 + 4\\frac{5}{10} + (4 - (8 + 3))^2 - (-13)",
["typ"] = "minus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.56, bodu=23, $$-13 \cdot 10 \cdot (-7 + (-10 - (-16)))^3=\textcolor{white}{130}$$return {
["body"] = 23,
["id"] = "eFyzYc_0518_1840",
["obtiznost"] = 0.5608,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 130,
["jmenovatel"] = 1 },
["render"] = "\\frac{130}{1}",
["typ"] = "cislo" },
["tex"] = "130",
["x"] = 130 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-10 - (-16)",
["typ"] = "minus" },
["render"] = "-7 + (-10 - (-16))",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-7 + (-10 - (-16)))^3",
["typ"] = "mocnina" },
["render"] = "-13 \\cdot 10 \\cdot (-7 + (-10 - (-16)))^3",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.57, bodu=70, $$\frac{12 \cdot -9}{\frac{1\frac{1}{4}}{12}}=\textcolor{white}{-1036{,}8}$$return {
["body"] = 70,
["id"] = "JT8mRk_0518_1840",
["obtiznost"] = 0.77,
["reseni"] = {
["float"] = -1036.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5184,
["jmenovatel"] = 5 },
["render"] = "\\frac{-5184}{5}",
["typ"] = "cislo" },
["tex"] = "-1036\\frac{4}{5}",
["tex_float"] = "-1036{,}8",
["x"] = -1036,
["y"] = 4,
["z"] = 5 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "12 \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{4}}{12}",
["typ"] = "lomeno" },
["render"] = "\\frac{12 \\cdot -9}{\\frac{1\\frac{1}{4}}{12}}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.58, bodu=71, $$3 - (-16) - 5 \cdot \frac{-10}{2\frac{4}{9}}=\textcolor{white}{39\frac{5}{11}}$$return {
["body"] = 71,
["id"] = "ZUxKxl_0518_1840",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = 39.454545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = 434,
["jmenovatel"] = 11 },
["render"] = "\\frac{434}{11}",
["typ"] = "cislo" },
["tex"] = "39\\frac{5}{11}",
["x"] = 39,
["y"] = 5,
["z"] = 11 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "3 - (-16)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{2\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "5 \\cdot \\frac{-10}{2\\frac{4}{9}}",
["typ"] = "krat" },
["render"] = "3 - (-16) - 5 \\cdot \\frac{-10}{2\\frac{4}{9}}",
["typ"] = "minus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.59, bodu=53, $$(\frac{-16}{6})^2 + 16 \cdot (12 - 11)=\textcolor{white}{23\frac{1}{9}}$$return {
["body"] = 53,
["id"] = "TnNPiP_0518_1840",
["obtiznost"] = 0.6192,
["reseni"] = {
["float"] = 23.111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 208,
["jmenovatel"] = 9 },
["render"] = "\\frac{208}{9}",
["typ"] = "cislo" },
["tex"] = "23\\frac{1}{9}",
["x"] = 23,
["y"] = 1,
["z"] = 9 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.59",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-16}{6})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "12 - 11",
["typ"] = "minus" },
["render"] = "(12 - 11)",
["typ"] = "zavorka" },
["render"] = "16 \\cdot (12 - 11)",
["typ"] = "krat" },
["render"] = "(\\frac{-16}{6})^2 + 16 \\cdot (12 - 11)",
["typ"] = "plus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.6, bodu=100, $$\frac{1\frac{3}{9}}{(-7 + 4\frac{3}{6}) \cdot -18 \cdot 10}=\textcolor{white}{\frac{2}{675}}$$return {
["body"] = 100,
["id"] = "QHEdWr_0518_1840",
["obtiznost"] = 1,
["reseni"] = {
["float"] = 0.002962962962963,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 675 },
["render"] = "\\frac{4}{1350}",
["typ"] = "cislo" },
["tex"] = "\\frac{2}{675}",
["y"] = 2,
["z"] = 675 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.6",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "-7 + 4\\frac{3}{6}",
["typ"] = "plus" },
["render"] = "(-7 + 4\\frac{3}{6})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "(-7 + 4\\frac{3}{6}) \\cdot -18",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(-7 + 4\\frac{3}{6}) \\cdot -18 \\cdot 10",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{3}{9}}{(-7 + 4\\frac{3}{6}) \\cdot -18 \\cdot 10}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.61, bodu=76, $$(13 + (-12 - (-8))^2) \cdot 4\frac{5}{9} - (17 + (-12))=\textcolor{white}{127\frac{1}{9}}$$return {
["body"] = 76,
["id"] = "yGNGxd_0518_1840",
["obtiznost"] = 0.8168,
["reseni"] = {
["float"] = 127.11111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1144,
["jmenovatel"] = 9 },
["render"] = "\\frac{1144}{9}",
["typ"] = "cislo" },
["tex"] = "127\\frac{1}{9}",
["x"] = 127,
["y"] = 1,
["z"] = 9 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-12 - (-8)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-12 - (-8))^2",
["typ"] = "mocnina" },
["render"] = "13 + (-12 - (-8))^2",
["typ"] = "plus" },
["render"] = "(13 + (-12 - (-8))^2)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "(13 + (-12 - (-8))^2) \\cdot 4\\frac{5}{9}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "17 + (-12)",
["typ"] = "plus" },
["render"] = "(17 + (-12))",
["typ"] = "zavorka" },
["render"] = "(13 + (-12 - (-8))^2) \\cdot 4\\frac{5}{9} - (17 + (-12))",
["typ"] = "minus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.62, bodu=131, $$\frac{-8}{3\frac{2}{5} + \frac{\frac{3\frac{3}{8}}{2\frac{3}{9}}}{10}}=\textcolor{white}{-2\frac{102}{397}}$$return {
["body"] = 131,
["id"] = "yvVzgy_0518_1840",
["obtiznost"] = 1.22,
["reseni"] = {
["float"] = -2.2569269521411,
["objekt"] = {
["hodnota"] = {
["citatel"] = -896,
["jmenovatel"] = 397 },
["render"] = "\\frac{-896}{397}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{102}{397}",
["x"] = -2,
["y"] = 102,
["z"] = 397 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.62",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{8}}{2\\frac{3}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{3}{8}}{2\\frac{3}{9}}}{10}",
["typ"] = "lomeno" },
["render"] = "3\\frac{2}{5} + \\frac{\\frac{3\\frac{3}{8}}{2\\frac{3}{9}}}{10}",
["typ"] = "plus" },
["render"] = "\\frac{-8}{3\\frac{2}{5} + \\frac{\\frac{3\\frac{3}{8}}{2\\frac{3}{9}}}{10}}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.63, bodu=163, $$5 - \frac{3\frac{4}{11} - (3\frac{1}{6} + 1\frac{5}{11} + 6)}{2\frac{3}{10}}=\textcolor{white}{8\frac{118}{759}}$$return {
["body"] = 163,
["id"] = "Cj2ZtA_0518_1840",
["obtiznost"] = 1.43,
["reseni"] = {
["float"] = 8.1554677206851,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6190,
["jmenovatel"] = 759 },
["render"] = "\\frac{6190}{759}",
["typ"] = "cislo" },
["tex"] = "8\\frac{118}{759}",
["x"] = 8,
["y"] = 118,
["z"] = 759 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.63",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} + 1\\frac{5}{11}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} + 1\\frac{5}{11} + 6",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{6} + 1\\frac{5}{11} + 6)",
["typ"] = "zavorka" },
["render"] = "3\\frac{4}{11} - (3\\frac{1}{6} + 1\\frac{5}{11} + 6)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{11} - (3\\frac{1}{6} + 1\\frac{5}{11} + 6)}{2\\frac{3}{10}}",
["typ"] = "lomeno" },
["render"] = "5 - \\frac{3\\frac{4}{11} - (3\\frac{1}{6} + 1\\frac{5}{11} + 6)}{2\\frac{3}{10}}",
["typ"] = "minus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.64, bodu=112, $$(\frac{13}{14})^2 \cdot (13 + (12 + (-8))^4 + 4\frac{4}{11} - 6)=\textcolor{white}{230\frac{1149}{2156}}$$return {
["body"] = 112,
["id"] = "Isp2sQ_0518_1840",
["obtiznost"] = 1.0888,
["reseni"] = {
["float"] = 230.53293135436,
["objekt"] = {
["hodnota"] = {
["citatel"] = 497029,
["jmenovatel"] = 2156 },
["render"] = "\\frac{497029}{2156}",
["typ"] = "cislo" },
["tex"] = "230\\frac{1149}{2156}",
["x"] = 230,
["y"] = 1149,
["z"] = 2156 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.64",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{13}{14}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{13}{14})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "12 + (-8)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(12 + (-8))^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{11} - 6",
["typ"] = "minus" },
["render"] = "(12 + (-8))^4 + 4\\frac{4}{11} - 6",
["typ"] = "plus" },
["render"] = "13 + (12 + (-8))^4 + 4\\frac{4}{11} - 6",
["typ"] = "plus" },
["render"] = "(13 + (12 + (-8))^4 + 4\\frac{4}{11} - 6)",
["typ"] = "zavorka" },
["render"] = "(\\frac{13}{14})^2 \\cdot (13 + (12 + (-8))^4 + 4\\frac{4}{11} - 6)",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.65, bodu=80, $$16 \cdot (3\frac{3}{11} - (-14) + 12 \cdot 13) + 10=\textcolor{white}{2782\frac{4}{11}}$$return {
["body"] = 80,
["id"] = "qBNlnj_0518_1840",
["obtiznost"] = 0.85,
["reseni"] = {
["float"] = 2782.3636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = 30606,
["jmenovatel"] = 11 },
["render"] = "\\frac{30606}{11}",
["typ"] = "cislo" },
["tex"] = "2782\\frac{4}{11}",
["x"] = 2782,
["y"] = 4,
["z"] = 11 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{11} - (-14)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "12 \\cdot 13",
["typ"] = "krat" },
["render"] = "3\\frac{3}{11} - (-14) + 12 \\cdot 13",
["typ"] = "plus" },
["render"] = "(3\\frac{3}{11} - (-14) + 12 \\cdot 13)",
["typ"] = "zavorka" },
["render"] = "16 \\cdot (3\\frac{3}{11} - (-14) + 12 \\cdot 13)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "16 \\cdot (3\\frac{3}{11} - (-14) + 12 \\cdot 13) + 10",
["typ"] = "plus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.66, bodu=58, $$\frac{\frac{\frac{-3}{-14}}{7 \cdot -6}}{-9}=\textcolor{white}{\frac{1}{1764}}$$return {
["body"] = 58,
["id"] = "dKxuU6_0518_1840",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = 0.00056689342403628,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 1764 },
["render"] = "\\frac{-1}{-1764}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{1764}",
["y"] = 1,
["z"] = 1764 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "7 \\cdot -6",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{-3}{-14}}{7 \\cdot -6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{-3}{-14}}{7 \\cdot -6}}{-9}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.67, bodu=109, $$\frac{\frac{2\frac{3}{9}}{\frac{-13}{-18 + (-12)}}}{3\frac{5}{8} + (-9)}=\textcolor{white}{-1\frac{1}{559}}$$return {
["body"] = 109,
["id"] = "oR7tyr_0518_1840",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = -1.0017889087657,
["objekt"] = {
["hodnota"] = {
["citatel"] = -560,
["jmenovatel"] = 559 },
["render"] = "\\frac{560}{-559}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1}{559}",
["x"] = -1,
["y"] = 1,
["z"] = 559 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-18 + (-12)",
["typ"] = "plus" },
["render"] = "\\frac{-13}{-18 + (-12)}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{3}{9}}{\\frac{-13}{-18 + (-12)}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{8} + (-9)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{2\\frac{3}{9}}{\\frac{-13}{-18 + (-12)}}}{3\\frac{5}{8} + (-9)}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.68, bodu=111, $$\frac{-15}{\frac{4\frac{4}{11}}{-14} \cdot 13 - 3\frac{1}{8}}=\textcolor{white}{2\frac{398}{4421}}$$return {
["body"] = 111,
["id"] = "tuPrlQ_0518_1840",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = 2.0900248812486,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9240,
["jmenovatel"] = 4421 },
["render"] = "\\frac{-9240}{-4421}",
["typ"] = "cislo" },
["tex"] = "2\\frac{398}{4421}",
["x"] = 2,
["y"] = 398,
["z"] = 4421 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.68",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{11}}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{11}}{-14} \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{11}}{-14} \\cdot 13 - 3\\frac{1}{8}",
["typ"] = "minus" },
["render"] = "\\frac{-15}{\\frac{4\\frac{4}{11}}{-14} \\cdot 13 - 3\\frac{1}{8}}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.69, bodu=120, $$(-10 \cdot 1\frac{1}{5})^2 - (-10 \cdot 4\frac{3}{5} \cdot -10)=\textcolor{white}{-316}$$return {
["body"] = 120,
["id"] = "O8MUdY_0518_1840",
["obtiznost"] = 1.148,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -316,
["jmenovatel"] = 1 },
["render"] = "\\frac{-316}{1}",
["typ"] = "cislo" },
["tex"] = "-316",
["x"] = -316 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.69",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 1\\frac{1}{5}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(-10 \\cdot 1\\frac{1}{5})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{5} \\cdot -10",
["typ"] = "krat" },
["render"] = "-10 \\cdot 4\\frac{3}{5} \\cdot -10",
["typ"] = "krat" },
["render"] = "(-10 \\cdot 1\\frac{1}{5})^2 - (-10 \\cdot 4\\frac{3}{5} \\cdot -10)",
["typ"] = "minus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.7, bodu=172, $$\frac{3\frac{4}{10} \cdot 8}{(\frac{3\frac{2}{8}}{-7})^2} + 15=\textcolor{white}{141\frac{154}{845}}$$return {
["body"] = 172,
["id"] = "p46GkW_0518_1840",
["obtiznost"] = 1.4812,
["reseni"] = {
["float"] = 141.18224852071,
["objekt"] = {
["hodnota"] = {
["citatel"] = 119299,
["jmenovatel"] = 845 },
["render"] = "\\frac{119299}{845}",
["typ"] = "cislo" },
["tex"] = "141\\frac{154}{845}",
["x"] = 141,
["y"] = 154,
["z"] = 845 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{8}}{-7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{3\\frac{2}{8}}{-7})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{3\\frac{4}{10} \\cdot 8}{(\\frac{3\\frac{2}{8}}{-7})^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{10} \\cdot 8}{(\\frac{3\\frac{2}{8}}{-7})^2} + 15",
["typ"] = "plus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.71, bodu=115, $$\frac{-9 + 4\frac{4}{8}}{10} \cdot 1\frac{4}{7} \cdot (10 - (-5))=\textcolor{white}{-10\frac{17}{28}}$$return {
["body"] = 115,
["id"] = "AaTMNK_0518_1840",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = -10.607142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -297,
["jmenovatel"] = 28 },
["render"] = "\\frac{-1485}{140}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{17}{28}",
["x"] = -10,
["y"] = 17,
["z"] = 28 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-9 + 4\\frac{4}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-9 + 4\\frac{4}{8}}{10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["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" },
["render"] = "(10 - (-5))",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{7} \\cdot (10 - (-5))",
["typ"] = "krat" },
["render"] = "\\frac{-9 + 4\\frac{4}{8}}{10} \\cdot 1\\frac{4}{7} \\cdot (10 - (-5))",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.72, bodu=89, $$(1\frac{5}{12} + (-11 - (-13))) \cdot (14 - (-18) - 9)=\textcolor{white}{78\frac{7}{12}}$$return {
["body"] = 89,
["id"] = "59TuBP_0518_1840",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = 78.583333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 943,
["jmenovatel"] = 12 },
["render"] = "\\frac{943}{12}",
["typ"] = "cislo" },
["tex"] = "78\\frac{7}{12}",
["x"] = 78,
["y"] = 7,
["z"] = 12 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.72",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-11 - (-13)",
["typ"] = "minus" },
["render"] = "1\\frac{5}{12} + (-11 - (-13))",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{12} + (-11 - (-13)))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "14 - (-18)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "14 - (-18) - 9",
["typ"] = "minus" },
["render"] = "(14 - (-18) - 9)",
["typ"] = "zavorka" },
["render"] = "(1\\frac{5}{12} + (-11 - (-13))) \\cdot (14 - (-18) - 9)",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.73, bodu=114, $$1\frac{1}{9} - (-8) - (\frac{16}{-14 \cdot -12})^2=\textcolor{white}{9\frac{5}{49}}$$return {
["body"] = 114,
["id"] = "x9cytt_0518_1840",
["obtiznost"] = 1.108,
["reseni"] = {
["float"] = 9.1020408163265,
["objekt"] = {
["hodnota"] = {
["citatel"] = 446,
["jmenovatel"] = 49 },
["render"] = "\\frac{36126}{3969}",
["typ"] = "cislo" },
["tex"] = "9\\frac{5}{49}",
["x"] = 9,
["y"] = 5,
["z"] = 49 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{9} - (-8)",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-14 \\cdot -12",
["typ"] = "krat" },
["render"] = "\\frac{16}{-14 \\cdot -12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{16}{-14 \\cdot -12})^2",
["typ"] = "mocnina" },
["render"] = "1\\frac{1}{9} - (-8) - (\\frac{16}{-14 \\cdot -12})^2",
["typ"] = "minus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.74, bodu=95, $$\frac{\frac{13 - (-16) + 14}{-17}}{(\frac{1\frac{5}{10}}{12})^2}=\textcolor{white}{-161\frac{15}{17}}$$return {
["body"] = 95,
["id"] = "s0exEf_0518_1840",
["obtiznost"] = 0.966,
["reseni"] = {
["float"] = -161.88235294118,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2752,
["jmenovatel"] = 17 },
["render"] = "\\frac{-2752}{17}",
["typ"] = "cislo" },
["tex"] = "-161\\frac{15}{17}",
["x"] = -161,
["y"] = 15,
["z"] = 17 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "13 - (-16)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "13 - (-16) + 14",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{13 - (-16) + 14}{-17}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{10}}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{1\\frac{5}{10}}{12})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{13 - (-16) + 14}{-17}}{(\\frac{1\\frac{5}{10}}{12})^2}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.75, bodu=120, $$(10 + 2\frac{4}{11}) \cdot \frac{12 - 8}{1\frac{2}{8}} + (-17)=\textcolor{white}{22\frac{31}{55}}$$return {
["body"] = 120,
["id"] = "v7xdsH_0518_1840",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = 22.563636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1241,
["jmenovatel"] = 55 },
["render"] = "\\frac{1241}{55}",
["typ"] = "cislo" },
["tex"] = "22\\frac{31}{55}",
["x"] = 22,
["y"] = 31,
["z"] = 55 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "10 + 2\\frac{4}{11}",
["typ"] = "plus" },
["render"] = "(10 + 2\\frac{4}{11})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "12 - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{12 - 8}{1\\frac{2}{8}}",
["typ"] = "lomeno" },
["render"] = "(10 + 2\\frac{4}{11}) \\cdot \\frac{12 - 8}{1\\frac{2}{8}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "(10 + 2\\frac{4}{11}) \\cdot \\frac{12 - 8}{1\\frac{2}{8}} + (-17)",
["typ"] = "plus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.76, bodu=122, $$2\frac{4}{9} \cdot (-12 + \frac{8}{1\frac{3}{10} \cdot 14} + 21)=\textcolor{white}{23\frac{61}{819}}$$return {
["body"] = 122,
["id"] = "PWsDe5_0518_1840",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = 23.074481074481,
["objekt"] = {
["hodnota"] = {
["citatel"] = 18898,
["jmenovatel"] = 819 },
["render"] = "\\frac{18898}{819}",
["typ"] = "cislo" },
["tex"] = "23\\frac{61}{819}",
["x"] = 23,
["y"] = 61,
["z"] = 819 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.76",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{10} \\cdot 14",
["typ"] = "krat" },
["render"] = "\\frac{8}{1\\frac{3}{10} \\cdot 14}",
["typ"] = "lomeno" },
["render"] = "-12 + \\frac{8}{1\\frac{3}{10} \\cdot 14}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "-12 + \\frac{8}{1\\frac{3}{10} \\cdot 14} + 21",
["typ"] = "plus" },
["render"] = "(-12 + \\frac{8}{1\\frac{3}{10} \\cdot 14} + 21)",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{9} \\cdot (-12 + \\frac{8}{1\\frac{3}{10} \\cdot 14} + 21)",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.77, bodu=123, $$-15 \cdot 4\frac{3}{8} \cdot 14 + \frac{-8}{1\frac{3}{9}}=\textcolor{white}{-924{,}75}$$return {
["body"] = 123,
["id"] = "5DWs34_0518_1840",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = -924.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3699,
["jmenovatel"] = 4 },
["render"] = "\\frac{-3699}{4}",
["typ"] = "cislo" },
["tex"] = "-924\\frac{3}{4}",
["tex_float"] = "-924{,}75",
["x"] = -924,
["y"] = 3,
["z"] = 4 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} \\cdot 14",
["typ"] = "krat" },
["render"] = "-15 \\cdot 4\\frac{3}{8} \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{1\\frac{3}{9}}",
["typ"] = "lomeno" },
["render"] = "-15 \\cdot 4\\frac{3}{8} \\cdot 14 + \\frac{-8}{1\\frac{3}{9}}",
["typ"] = "plus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.78, bodu=155, $$16 \cdot 14 \cdot 4\frac{4}{5} \cdot (4\frac{5}{10} + (-17 + 2\frac{2}{7}))=\textcolor{white}{-10982{,}4}$$return {
["body"] = 155,
["id"] = "BMqeLD_0518_1840",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = -10982.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -54912,
["jmenovatel"] = 5 },
["render"] = "\\frac{-768768}{70}",
["typ"] = "cislo" },
["tex"] = "-10982\\frac{2}{5}",
["tex_float"] = "-10982{,}4",
["x"] = -10982,
["y"] = 2,
["z"] = 5 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "14 \\cdot 4\\frac{4}{5}",
["typ"] = "krat" },
["render"] = "16 \\cdot 14 \\cdot 4\\frac{4}{5}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-17 + 2\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "4\\frac{5}{10} + (-17 + 2\\frac{2}{7})",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{10} + (-17 + 2\\frac{2}{7}))",
["typ"] = "zavorka" },
["render"] = "16 \\cdot 14 \\cdot 4\\frac{4}{5} \\cdot (4\\frac{5}{10} + (-17 + 2\\frac{2}{7}))",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.79, bodu=104, $$(-8 - \frac{-14}{-7})^2 \cdot (18 + 1\frac{3}{5}) \cdot 12=\textcolor{white}{23520}$$return {
["body"] = 104,
["id"] = "DGegbx_0518_1840",
["obtiznost"] = 1.0304,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 23520,
["jmenovatel"] = 1 },
["render"] = "\\frac{117600}{5}",
["typ"] = "cislo" },
["tex"] = "23520",
["x"] = 23520 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.79",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{-7}",
["typ"] = "lomeno" },
["render"] = "-8 - \\frac{-14}{-7}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-8 - \\frac{-14}{-7})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "18 + 1\\frac{3}{5}",
["typ"] = "plus" },
["render"] = "(18 + 1\\frac{3}{5})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(18 + 1\\frac{3}{5}) \\cdot 12",
["typ"] = "krat" },
["render"] = "(-8 - \\frac{-14}{-7})^2 \\cdot (18 + 1\\frac{3}{5}) \\cdot 12",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.8, bodu=192, $$2\frac{2}{8} - \frac{14}{\frac{2\frac{1}{5}}{-14 + 1\frac{3}{9}} - 1\frac{4}{8}}=\textcolor{white}{10\frac{391}{636}}$$return {
["body"] = 192,
["id"] = "hNzDJP_0518_1840",
["obtiznost"] = 1.6,
["reseni"] = {
["float"] = 10.614779874214,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6751,
["jmenovatel"] = 636 },
["render"] = "\\frac{6751}{636}",
["typ"] = "cislo" },
["tex"] = "10\\frac{391}{636}",
["x"] = 10,
["y"] = 391,
["z"] = 636 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.8",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "-14 + 1\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{1}{5}}{-14 + 1\\frac{3}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{5}}{-14 + 1\\frac{3}{9}} - 1\\frac{4}{8}",
["typ"] = "minus" },
["render"] = "\\frac{14}{\\frac{2\\frac{1}{5}}{-14 + 1\\frac{3}{9}} - 1\\frac{4}{8}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{2}{8} - \\frac{14}{\\frac{2\\frac{1}{5}}{-14 + 1\\frac{3}{9}} - 1\\frac{4}{8}}",
["typ"] = "minus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.81, bodu=91, $$(-19 + (-8 \cdot 9)) \cdot 14 + (\frac{12}{13})^2=\textcolor{white}{-1273\frac{25}{169}}$$return {
["body"] = 91,
["id"] = "zFRoYe_0518_1840",
["obtiznost"] = 0.9352,
["reseni"] = {
["float"] = -1273.1479289941,
["objekt"] = {
["hodnota"] = {
["citatel"] = -215162,
["jmenovatel"] = 169 },
["render"] = "\\frac{-215162}{169}",
["typ"] = "cislo" },
["tex"] = "-1273\\frac{25}{169}",
["x"] = -1273,
["y"] = 25,
["z"] = 169 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 9",
["typ"] = "krat" },
["render"] = "-19 + (-8 \\cdot 9)",
["typ"] = "plus" },
["render"] = "(-19 + (-8 \\cdot 9))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "(-19 + (-8 \\cdot 9)) \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{12}{13}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{12}{13})^2",
["typ"] = "mocnina" },
["render"] = "(-19 + (-8 \\cdot 9)) \\cdot 14 + (\\frac{12}{13})^2",
["typ"] = "plus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.82, bodu=102, $$\frac{(19 + 23 \cdot -11) \cdot 17 \cdot 4\frac{5}{10}}{-7}=\textcolor{white}{2557\frac{2}{7}}$$return {
["body"] = 102,
["id"] = "H2wF2t_0518_1840",
["obtiznost"] = 1.02,
["reseni"] = {
["float"] = 2557.2857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17901,
["jmenovatel"] = 7 },
["render"] = "\\frac{-17901}{-7}",
["typ"] = "cislo" },
["tex"] = "2557\\frac{2}{7}",
["x"] = 2557,
["y"] = 2,
["z"] = 7 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "23 \\cdot -11",
["typ"] = "krat" },
["render"] = "19 + 23 \\cdot -11",
["typ"] = "plus" },
["render"] = "(19 + 23 \\cdot -11)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "17 \\cdot 4\\frac{5}{10}",
["typ"] = "krat" },
["render"] = "(19 + 23 \\cdot -11) \\cdot 17 \\cdot 4\\frac{5}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{(19 + 23 \\cdot -11) \\cdot 17 \\cdot 4\\frac{5}{10}}{-7}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.83, bodu=206, $$(\frac{-10}{(1\frac{1}{10} - 1\frac{4}{8})^3} + 4\frac{3}{9}) \cdot 1\frac{5}{8} \cdot -13=\textcolor{white}{-3392\frac{31}{96}}$$return {
["body"] = 206,
["id"] = "ImWt3g_0518_1840",
["obtiznost"] = 1.6832,
["reseni"] = {
["float"] = -3392.3229166667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -325663,
["jmenovatel"] = 96 },
["render"] = "\\frac{-325663}{96}",
["typ"] = "cislo" },
["tex"] = "-3392\\frac{31}{96}",
["x"] = -3392,
["y"] = 31,
["z"] = 96 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.83",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{10} - 1\\frac{4}{8}",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(1\\frac{1}{10} - 1\\frac{4}{8})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{-10}{(1\\frac{1}{10} - 1\\frac{4}{8})^3}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{(1\\frac{1}{10} - 1\\frac{4}{8})^3} + 4\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "(\\frac{-10}{(1\\frac{1}{10} - 1\\frac{4}{8})^3} + 4\\frac{3}{9})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{8} \\cdot -13",
["typ"] = "krat" },
["render"] = "(\\frac{-10}{(1\\frac{1}{10} - 1\\frac{4}{8})^3} + 4\\frac{3}{9}) \\cdot 1\\frac{5}{8} \\cdot -13",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.84, bodu=213, $$(1\frac{3}{11} - 4\frac{1}{4} + 10) \cdot (\frac{9}{15})^4 \cdot 4\frac{1}{8}=\textcolor{white}{3\frac{15087}{20000}}$$return {
["body"] = 213,
["id"] = "6G4bzn_0518_1840",
["obtiznost"] = 1.7224,
["reseni"] = {
["float"] = 3.75435,
["objekt"] = {
["hodnota"] = {
["citatel"] = 75087,
["jmenovatel"] = 20000 },
["render"] = "\\frac{825957}{220000}",
["typ"] = "cislo" },
["tex"] = "3\\frac{15087}{20000}",
["x"] = 3,
["y"] = 15087,
["z"] = 20000 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{11} - 4\\frac{1}{4}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{11} - 4\\frac{1}{4} + 10",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{11} - 4\\frac{1}{4} + 10)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{9}{15}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{9}{15})^4",
["typ"] = "mocnina" },
["render"] = "(1\\frac{3}{11} - 4\\frac{1}{4} + 10) \\cdot (\\frac{9}{15})^4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "(1\\frac{3}{11} - 4\\frac{1}{4} + 10) \\cdot (\\frac{9}{15})^4 \\cdot 4\\frac{1}{8}",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.85, bodu=200, $$(2\frac{2}{9} - 10 + (-14)) \cdot (3\frac{1}{10} - (1\frac{3}{12} + 2\frac{3}{9}) + 20)=\textcolor{white}{-425\frac{4}{135}}$$return {
["body"] = 200,
["id"] = "0RM14k_0518_1840",
["obtiznost"] = 1.65,
["reseni"] = {
["float"] = -425.02962962963,
["objekt"] = {
["hodnota"] = {
["citatel"] = -57379,
["jmenovatel"] = 135 },
["render"] = "\\frac{-229516}{540}",
["typ"] = "cislo" },
["tex"] = "-425\\frac{4}{135}",
["x"] = -425,
["y"] = 4,
["z"] = 135 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.85",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} - 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} - 10 + (-14)",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{9} - 10 + (-14))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 10 },
["render"] = "3\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{12} + 2\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{12} + 2\\frac{3}{9})",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{10} - (1\\frac{3}{12} + 2\\frac{3}{9})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{10} - (1\\frac{3}{12} + 2\\frac{3}{9}) + 20",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{10} - (1\\frac{3}{12} + 2\\frac{3}{9}) + 20)",
["typ"] = "zavorka" },
["render"] = "(2\\frac{2}{9} - 10 + (-14)) \\cdot (3\\frac{1}{10} - (1\\frac{3}{12} + 2\\frac{3}{9}) + 20)",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.86, bodu=229, $$\frac{\frac{(2\frac{2}{8} + (-15 + 14))^4}{3\frac{4}{8}} \cdot -4}{1\frac{1}{7} - 5}=\textcolor{white}{\frac{625}{864}}$$return {
["body"] = 229,
["id"] = "WiMo5l_0518_1840",
["obtiznost"] = 1.8124,
["reseni"] = {
["float"] = 0.72337962962963,
["objekt"] = {
["hodnota"] = {
["citatel"] = 625,
["jmenovatel"] = 864 },
["render"] = "\\frac{-4375}{-6048}",
["typ"] = "cislo" },
["tex"] = "\\frac{625}{864}",
["y"] = 625,
["z"] = 864 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "2\\frac{2}{8} + (-15 + 14)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(2\\frac{2}{8} + (-15 + 14))^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{(2\\frac{2}{8} + (-15 + 14))^4}{3\\frac{4}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{(2\\frac{2}{8} + (-15 + 14))^4}{3\\frac{4}{8}} \\cdot -4",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{7} - 5",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{(2\\frac{2}{8} + (-15 + 14))^4}{3\\frac{4}{8}} \\cdot -4}{1\\frac{1}{7} - 5}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.87, bodu=220, $$(4\frac{2}{2} \cdot 2\frac{2}{7} + (-9 + 4\frac{3}{8})) \cdot (4\frac{4}{11} + (10 \cdot 1\frac{4}{8})^2)=\textcolor{white}{1560\frac{303}{616}}$$return {
["body"] = 220,
["id"] = "7dGcMO_0518_1840",
["obtiznost"] = 1.7604,
["reseni"] = {
["float"] = 1560.4918831169,
["objekt"] = {
["hodnota"] = {
["citatel"] = 961263,
["jmenovatel"] = 616 },
["render"] = "\\frac{961263}{616}",
["typ"] = "cislo" },
["tex"] = "1560\\frac{303}{616}",
["x"] = 1560,
["y"] = 303,
["z"] = 616 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.87",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "4\\frac{2}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{2} \\cdot 2\\frac{2}{7}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-9 + 4\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "4\\frac{2}{2} \\cdot 2\\frac{2}{7} + (-9 + 4\\frac{3}{8})",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{2} \\cdot 2\\frac{2}{7} + (-9 + 4\\frac{3}{8}))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 1\\frac{4}{8}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(10 \\cdot 1\\frac{4}{8})^2",
["typ"] = "mocnina" },
["render"] = "4\\frac{4}{11} + (10 \\cdot 1\\frac{4}{8})^2",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{11} + (10 \\cdot 1\\frac{4}{8})^2)",
["typ"] = "zavorka" },
["render"] = "(4\\frac{2}{2} \\cdot 2\\frac{2}{7} + (-9 + 4\\frac{3}{8})) \\cdot (4\\frac{4}{11} + (10 \\cdot 1\\frac{4}{8})^2)",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.88, bodu=140, $$\frac{11}{19} \cdot (1\frac{3}{5} - (-15 + 15)^4) + (-9) + 3\frac{1}{8}=\textcolor{white}{-4\frac{721}{760}}$$return {
["body"] = 140,
["id"] = "UTdoDq_0518_1840",
["obtiznost"] = 1.2804,
["reseni"] = {
["float"] = -4.9486842105263,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3761,
["jmenovatel"] = 760 },
["render"] = "\\frac{-3761}{760}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{721}{760}",
["x"] = -4,
["y"] = 721,
["z"] = 760 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{11}{19}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-15 + 15",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-15 + 15)^4",
["typ"] = "mocnina" },
["render"] = "1\\frac{3}{5} - (-15 + 15)^4",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{5} - (-15 + 15)^4)",
["typ"] = "zavorka" },
["render"] = "\\frac{11}{19} \\cdot (1\\frac{3}{5} - (-15 + 15)^4)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{11}{19} \\cdot (1\\frac{3}{5} - (-15 + 15)^4) + (-9)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{19} \\cdot (1\\frac{3}{5} - (-15 + 15)^4) + (-9) + 3\\frac{1}{8}",
["typ"] = "plus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.89, bodu=207, $$2\frac{3}{12} \cdot -20 \cdot 1\frac{1}{10} \cdot \frac{1\frac{3}{13}}{2\frac{4}{12}}=\textcolor{white}{-26\frac{10}{91}}$$return {
["body"] = 207,
["id"] = "d9DYjy_0518_1840",
["obtiznost"] = 1.69,
["reseni"] = {
["float"] = -26.10989010989,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2376,
["jmenovatel"] = 91 },
["render"] = "\\frac{-4752}{182}",
["typ"] = "cislo" },
["tex"] = "-26\\frac{10}{91}",
["x"] = -26,
["y"] = 10,
["z"] = 91 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{12} \\cdot -20",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{12} \\cdot -20 \\cdot 1\\frac{1}{10}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 13 },
["render"] = "1\\frac{3}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{13}}{2\\frac{4}{12}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{3}{12} \\cdot -20 \\cdot 1\\frac{1}{10} \\cdot \\frac{1\\frac{3}{13}}{2\\frac{4}{12}}",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.9, bodu=175, $$\frac{-14 - (1\frac{2}{7} + 9)}{\frac{3\frac{5}{11} + 1\frac{3}{5}}{21 - (-3)}}=\textcolor{white}{-115\frac{305}{973}}$$return {
["body"] = 175,
["id"] = "0zBDBE_0518_1840",
["obtiznost"] = 1.5,
["reseni"] = {
["float"] = -115.3134635149,
["objekt"] = {
["hodnota"] = {
["citatel"] = -112200,
["jmenovatel"] = 973 },
["render"] = "\\frac{-112200}{973}",
["typ"] = "cislo" },
["tex"] = "-115\\frac{305}{973}",
["x"] = -115,
["y"] = 305,
["z"] = 973 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{7} + 9",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{7} + 9)",
["typ"] = "zavorka" },
["render"] = "-14 - (1\\frac{2}{7} + 9)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} + 1\\frac{3}{5}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "21 - (-3)",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{5}{11} + 1\\frac{3}{5}}{21 - (-3)}",
["typ"] = "lomeno" },
["render"] = "\\frac{-14 - (1\\frac{2}{7} + 9)}{\\frac{3\\frac{5}{11} + 1\\frac{3}{5}}{21 - (-3)}}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.91, bodu=145, $$17 - 13 - \frac{3\frac{1}{11} + (-16 - 3\frac{5}{13})}{(-14 + 16)^4}=\textcolor{white}{5\frac{21}{1144}}$$return {
["body"] = 145,
["id"] = "XGcBLp_0518_1840",
["obtiznost"] = 1.3168,
["reseni"] = {
["float"] = 5.0183566433566,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5741,
["jmenovatel"] = 1144 },
["render"] = "\\frac{5741}{1144}",
["typ"] = "cislo" },
["tex"] = "5\\frac{21}{1144}",
["x"] = 5,
["y"] = 21,
["z"] = 1144 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "17 - 13",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 34,
["jmenovatel"] = 11 },
["render"] = "3\\frac{1}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 13 },
["render"] = "3\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "-16 - 3\\frac{5}{13}",
["typ"] = "minus" },
["render"] = "3\\frac{1}{11} + (-16 - 3\\frac{5}{13})",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-14 + 16",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-14 + 16)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{3\\frac{1}{11} + (-16 - 3\\frac{5}{13})}{(-14 + 16)^4}",
["typ"] = "lomeno" },
["render"] = "17 - 13 - \\frac{3\\frac{1}{11} + (-16 - 3\\frac{5}{13})}{(-14 + 16)^4}",
["typ"] = "minus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.92, bodu=146, $$\frac{6 \cdot -20 \cdot 2\frac{3}{6} + \frac{2\frac{3}{9}}{-17}}{-10}=\textcolor{white}{30\frac{7}{510}}$$return {
["body"] = 146,
["id"] = "BILLsA_0518_1840",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = 30.013725490196,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15307,
["jmenovatel"] = 510 },
["render"] = "\\frac{-15307}{-510}",
["typ"] = "cislo" },
["tex"] = "30\\frac{7}{510}",
["x"] = 30,
["y"] = 7,
["z"] = 510 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "6 \\cdot -20",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "6 \\cdot -20 \\cdot 2\\frac{3}{6}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{9}}{-17}",
["typ"] = "lomeno" },
["render"] = "6 \\cdot -20 \\cdot 2\\frac{3}{6} + \\frac{2\\frac{3}{9}}{-17}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{6 \\cdot -20 \\cdot 2\\frac{3}{6} + \\frac{2\\frac{3}{9}}{-17}}{-10}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.93, bodu=180, $$\frac{3\frac{4}{6}}{2\frac{1}{10}} \cdot 3\frac{2}{5} \cdot \frac{23}{10}=\textcolor{white}{13\frac{206}{315}}$$return {
["body"] = 180,
["id"] = "Ieestn_0518_1840",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = 13.653968253968,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4301,
["jmenovatel"] = 315 },
["render"] = "\\frac{43010}{3150}",
["typ"] = "cislo" },
["tex"] = "13\\frac{206}{315}",
["x"] = 13,
["y"] = 206,
["z"] = 315 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 10 },
["render"] = "2\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{6}}{2\\frac{1}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{23}{10}",
["typ"] = "lomeno" },
["render"] = "3\\frac{2}{5} \\cdot \\frac{23}{10}",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{4}{6}}{2\\frac{1}{10}} \\cdot 3\\frac{2}{5} \\cdot \\frac{23}{10}",
["typ"] = "krat" } }
seed: q7eh9SmSjdbJgBn1cqao_0.94, bodu=181, $$-10 + \frac{4\frac{2}{7}}{-6 \cdot -18 + 2\frac{4}{7}} \cdot 1\frac{4}{6}=\textcolor{white}{-9\frac{362}{387}}$$return {
["body"] = 181,
["id"] = "vck52q_0518_1840",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = -9.9354005167959,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3845,
["jmenovatel"] = 387 },
["render"] = "\\frac{-3845}{387}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{362}{387}",
["x"] = -9,
["y"] = 362,
["z"] = 387 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.94",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "-6 \\cdot -18",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-6 \\cdot -18 + 2\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{2}{7}}{-6 \\cdot -18 + 2\\frac{4}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{7}}{-6 \\cdot -18 + 2\\frac{4}{7}} \\cdot 1\\frac{4}{6}",
["typ"] = "krat" },
["render"] = "-10 + \\frac{4\\frac{2}{7}}{-6 \\cdot -18 + 2\\frac{4}{7}} \\cdot 1\\frac{4}{6}",
["typ"] = "plus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.95, bodu=184, $$\frac{11 + \frac{2\frac{2}{11}}{-9}}{\frac{3\frac{5}{11}}{(-10 + 18)^3}}=\textcolor{white}{1594\frac{22}{57}}$$return {
["body"] = 184,
["id"] = "kWVy7K_0518_1840",
["obtiznost"] = 1.5552,
["reseni"] = {
["float"] = 1594.3859649123,
["objekt"] = {
["hodnota"] = {
["citatel"] = 90880,
["jmenovatel"] = 57 },
["render"] = "\\frac{999680}{627}",
["typ"] = "cislo" },
["tex"] = "1594\\frac{22}{57}",
["x"] = 1594,
["y"] = 22,
["z"] = 57 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 11 },
["render"] = "2\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{11}}{-9}",
["typ"] = "lomeno" },
["render"] = "11 + \\frac{2\\frac{2}{11}}{-9}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "-10 + 18",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-10 + 18)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{3\\frac{5}{11}}{(-10 + 18)^3}",
["typ"] = "lomeno" },
["render"] = "\\frac{11 + \\frac{2\\frac{2}{11}}{-9}}{\\frac{3\\frac{5}{11}}{(-10 + 18)^3}}",
["typ"] = "lomeno" } }
seed: q7eh9SmSjdbJgBn1cqao_0.96, bodu=152, $$5 - \frac{-13 \cdot 2\frac{4}{12} \cdot 2\frac{1}{7}}{14} - (-18)=\textcolor{white}{27\frac{9}{14}}$$return {
["body"] = 152,
["id"] = "Jh7tWa_0518_1840",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = 27.642857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 387,
["jmenovatel"] = 14 },
["render"] = "\\frac{387}{14}",
["typ"] = "cislo" },
["tex"] = "27\\frac{9}{14}",
["x"] = 27,
["y"] = 9,
["z"] = 14 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 2\\frac{4}{12}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 2\\frac{4}{12} \\cdot 2\\frac{1}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{-13 \\cdot 2\\frac{4}{12} \\cdot 2\\frac{1}{7}}{14}",
["typ"] = "lomeno" },
["render"] = "5 - \\frac{-13 \\cdot 2\\frac{4}{12} \\cdot 2\\frac{1}{7}}{14}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "5 - \\frac{-13 \\cdot 2\\frac{4}{12} \\cdot 2\\frac{1}{7}}{14} - (-18)",
["typ"] = "minus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.97, bodu=221, $$2\frac{1}{12} \cdot (2\frac{3}{4} + 3\frac{3}{13}) \cdot -14 + 16 \cdot 2\frac{2}{11}=\textcolor{white}{-139\frac{1819}{3432}}$$return {
["body"] = 221,
["id"] = "8I2ulX_0518_1840",
["obtiznost"] = 1.77,
["reseni"] = {
["float"] = -139.53001165501,
["objekt"] = {
["hodnota"] = {
["citatel"] = -478867,
["jmenovatel"] = 3432 },
["render"] = "\\frac{-478867}{3432}",
["typ"] = "cislo" },
["tex"] = "-139\\frac{1819}{3432}",
["x"] = -139,
["y"] = 1819,
["z"] = 3432 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 12 },
["render"] = "2\\frac{1}{12}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 42,
["jmenovatel"] = 13 },
["render"] = "3\\frac{3}{13}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{4} + 3\\frac{3}{13}",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{4} + 3\\frac{3}{13})",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{12} \\cdot (2\\frac{3}{4} + 3\\frac{3}{13})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{12} \\cdot (2\\frac{3}{4} + 3\\frac{3}{13}) \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 11 },
["render"] = "2\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "16 \\cdot 2\\frac{2}{11}",
["typ"] = "krat" },
["render"] = "2\\frac{1}{12} \\cdot (2\\frac{3}{4} + 3\\frac{3}{13}) \\cdot -14 + 16 \\cdot 2\\frac{2}{11}",
["typ"] = "plus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.98, bodu=188, $$2\frac{1}{11} + \frac{\frac{-19}{-13} \cdot 8 + 4\frac{4}{6}}{1\frac{4}{8}}=\textcolor{white}{12\frac{1283}{1287}}$$return {
["body"] = 188,
["id"] = "hHc4B2_0518_1840",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = 12.996891996892,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16727,
["jmenovatel"] = 1287 },
["render"] = "\\frac{16727}{1287}",
["typ"] = "cislo" },
["tex"] = "12\\frac{1283}{1287}",
["x"] = 12,
["y"] = 1283,
["z"] = 1287 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.98",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 11 },
["render"] = "2\\frac{1}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{-19}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-19}{-13} \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-19}{-13} \\cdot 8 + 4\\frac{4}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-19}{-13} \\cdot 8 + 4\\frac{4}{6}}{1\\frac{4}{8}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{1}{11} + \\frac{\\frac{-19}{-13} \\cdot 8 + 4\\frac{4}{6}}{1\\frac{4}{8}}",
["typ"] = "plus" } }
seed: q7eh9SmSjdbJgBn1cqao_0.99, bodu=225, $$\frac{2\frac{4}{13} - \frac{2\frac{5}{12}}{-12} \cdot \frac{3\frac{4}{14}}{3\frac{1}{8}}}{16}=\textcolor{white}{\frac{103171}{655200}}$$return {
["body"] = 225,
["id"] = "tDfCak_0518_1840",
["obtiznost"] = 1.79,
["reseni"] = {
["float"] = 0.1574648962149,
["objekt"] = {
["hodnota"] = {
["citatel"] = 103171,
["jmenovatel"] = 655200 },
["render"] = "\\frac{103171}{655200}",
["typ"] = "cislo" },
["tex"] = "\\frac{103171}{655200}",
["y"] = 103171,
["z"] = 655200 },
["seed"] = "q7eh9SmSjdbJgBn1cqao_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 13 },
["render"] = "2\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{12}}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{14}}{3\\frac{1}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{5}{12}}{-12} \\cdot \\frac{3\\frac{4}{14}}{3\\frac{1}{8}}",
["typ"] = "krat" },
["render"] = "2\\frac{4}{13} - \\frac{2\\frac{5}{12}}{-12} \\cdot \\frac{3\\frac{4}{14}}{3\\frac{1}{8}}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{13} - \\frac{2\\frac{5}{12}}{-12} \\cdot \\frac{3\\frac{4}{14}}{3\\frac{1}{8}}}{16}",
["typ"] = "lomeno" } }
13-ecstatic-dog-gifs_a-cupcake.webp:
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Lucky-star-good-job-o.gif: 
SpanishForcefulfsdgIcelandicsheepdog-max-1mb.gif: 
Toothless_ecstatic_claps.gif: 
UJrA.gif: 
VEKsdfggfd0.gif: 
anime-cegfdhhhlebration-gif-9.gif: 
anime-celefdghdfgfbration-gif-13.gif: 
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source.gif: 
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