- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: MRlcTf4uuzn3O04EniJY_0, bodu=10, $$\frac{9}{6 + 6} - (-2)=\textcolor{white}{2{,}75}$$return {
["body"] = 10,
["id"] = "sP4AzT_0420_0551",
["obtiznost"] = 0,
["reseni"] = {
["float"] = 2.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "\\frac{11}{4}",
["typ"] = "cislo" },
["tex"] = "2\\frac{3}{4}",
["tex_float"] = "2{,}75",
["x"] = 2,
["y"] = 3,
["z"] = 4 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 + 6",
["typ"] = "plus" },
["render"] = "\\frac{9}{6 + 6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "\\frac{9}{6 + 6} - (-2)",
["typ"] = "minus" } }
seed: MRlcTf4uuzn3O04EniJY_0.01, bodu=5, $$(5 + 8 \cdot -8) \cdot -7=\textcolor{white}{413}$$return {
["body"] = 5,
["id"] = "Qh2IY9_0420_0551",
["obtiznost"] = 0.01,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 413,
["jmenovatel"] = 1 },
["render"] = "\\frac{413}{1}",
["typ"] = "cislo" },
["tex"] = "413",
["x"] = 413 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.01",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "8 \\cdot -8",
["typ"] = "krat" },
["render"] = "5 + 8 \\cdot -8",
["typ"] = "plus" },
["render"] = "(5 + 8 \\cdot -8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(5 + 8 \\cdot -8) \\cdot -7",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.02, bodu=22, $$\frac{7 + 8}{(5 - 10)^4}=\textcolor{white}{0{,}024}$$return {
["body"] = 22,
["id"] = "sfGVod_0420_0551",
["obtiznost"] = 0.2704,
["reseni"] = {
["float"] = 0.024,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 125 },
["render"] = "\\frac{15}{625}",
["typ"] = "cislo" },
["tex"] = "\\frac{3}{125}",
["tex_float"] = "0{,}024",
["y"] = 3,
["z"] = 125 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 + 8",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "5 - 10",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(5 - 10)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{7 + 8}{(5 - 10)^4}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.03, bodu=12, $$\frac{7 + 6}{(\frac{10}{7})^2}=\textcolor{white}{6{,}37}$$return {
["body"] = 12,
["id"] = "PM2fg7_0420_0551",
["obtiznost"] = 0.0896,
["reseni"] = {
["float"] = 6.37,
["objekt"] = {
["hodnota"] = {
["citatel"] = 637,
["jmenovatel"] = 100 },
["render"] = "\\frac{637}{100}",
["typ"] = "cislo" },
["tex"] = "6\\frac{37}{100}",
["tex_float"] = "6{,}37",
["x"] = 6,
["y"] = 37,
["z"] = 100 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 + 6",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{7})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{7 + 6}{(\\frac{10}{7})^2}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.04, bodu=8, $$3 \cdot ((9 + 9)^2 + 7)=\textcolor{white}{993}$$return {
["body"] = 8,
["id"] = "tcxgKg_0420_0551",
["obtiznost"] = 0.17,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 993,
["jmenovatel"] = 1 },
["render"] = "\\frac{993}{1}",
["typ"] = "cislo" },
["tex"] = "993",
["tex_float"] = "993",
["x"] = 993 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(9 + 9)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(9 + 9)^2 + 7",
["typ"] = "plus" },
["render"] = "((9 + 9)^2 + 7)",
["typ"] = "zavorka" },
["render"] = "3 \\cdot ((9 + 9)^2 + 7)",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.05, bodu=5, $$8 \cdot (6 - (-8) + 8 + (-2))=\textcolor{white}{160}$$return {
["body"] = 5,
["id"] = "FPrMOg_0420_0551",
["obtiznost"] = 0.05,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 160,
["jmenovatel"] = 1 },
["render"] = "\\frac{160}{1}",
["typ"] = "cislo" },
["tex"] = "160",
["x"] = 160 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "6 - (-8)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "8 + (-2)",
["typ"] = "plus" },
["render"] = "6 - (-8) + 8 + (-2)",
["typ"] = "plus" },
["render"] = "(6 - (-8) + 8 + (-2))",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (6 - (-8) + 8 + (-2))",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.06, bodu=5, $$6 \cdot 10 \cdot 3=\textcolor{white}{180}$$return {
["body"] = 5,
["id"] = "Tx8teS_0420_0551",
["obtiznost"] = 0.06,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 180,
["jmenovatel"] = 1 },
["render"] = "\\frac{180}{1}",
["typ"] = "cislo" },
["tex"] = "180",
["x"] = 180 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.06",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "10 \\cdot 3",
["typ"] = "krat" },
["render"] = "6 \\cdot 10 \\cdot 3",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.07, bodu=22, $$9 \cdot 4\frac{5}{6} - 7 - 9=\textcolor{white}{27{,}5}$$return {
["body"] = 22,
["id"] = "OFgCrp_0420_0551",
["obtiznost"] = 0.27,
["reseni"] = {
["float"] = 27.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 55,
["jmenovatel"] = 2 },
["render"] = "\\frac{55}{2}",
["typ"] = "cislo" },
["tex"] = "27\\frac{1}{2}",
["tex_float"] = "27{,}5",
["x"] = 27,
["y"] = 1,
["z"] = 2 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 6 },
["render"] = "4\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 4\\frac{5}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 \\cdot 4\\frac{5}{6} - 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 \\cdot 4\\frac{5}{6} - 7 - 9",
["typ"] = "minus" } }
seed: MRlcTf4uuzn3O04EniJY_0.08, bodu=39, $$\frac{8 + 2\frac{2}{5}}{1\frac{4}{6} + (-9 + (-7))}=\textcolor{white}{-\frac{156}{215}}$$return {
["body"] = 39,
["id"] = "Cx7YbZ_0420_0551",
["obtiznost"] = 0.48,
["reseni"] = {
["float"] = -0.72558139534884,
["objekt"] = {
["hodnota"] = {
["citatel"] = -156,
["jmenovatel"] = 215 },
["render"] = "\\frac{156}{-215}",
["typ"] = "cislo" },
["tex"] = "-\\frac{156}{215}",
["y"] = -156,
["z"] = 215 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "8 + 2\\frac{2}{5}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["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"] = "1\\frac{4}{6} + (-9 + (-7))",
["typ"] = "plus" },
["render"] = "\\frac{8 + 2\\frac{2}{5}}{1\\frac{4}{6} + (-9 + (-7))}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.09, bodu=12, $$\frac{8}{\frac{4}{11}}=\textcolor{white}{22}$$return {
["body"] = 12,
["id"] = "Ib5QDo_0420_0551",
["obtiznost"] = 0.09,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "\\frac{88}{4}",
["typ"] = "cislo" },
["tex"] = "22",
["tex_float"] = "22",
["x"] = 22 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{4}{11}",
["typ"] = "lomeno" },
["render"] = "\\frac{8}{\\frac{4}{11}}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.1, bodu=12, $$\frac{3 - 11}{9 \cdot 11}=\textcolor{white}{-\frac{8}{99}}$$return {
["body"] = 12,
["id"] = "n4hR9F_0420_0551",
["obtiznost"] = 0.1,
["reseni"] = {
["float"] = -0.080808080808081,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 99 },
["render"] = "\\frac{-8}{99}",
["typ"] = "cislo" },
["tex"] = "-\\frac{8}{99}",
["y"] = -8,
["z"] = 99 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3 - 11",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "9 \\cdot 11",
["typ"] = "krat" },
["render"] = "\\frac{3 - 11}{9 \\cdot 11}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.11, bodu=39, $$\frac{6}{(6 \cdot 5)^2}=\textcolor{white}{\frac{1}{150}}$$return {
["body"] = 39,
["id"] = "nxf1N3_0420_0551",
["obtiznost"] = 0.4704,
["reseni"] = {
["float"] = 0.0066666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 150 },
["render"] = "\\frac{6}{900}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{150}",
["y"] = 1,
["z"] = 150 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.11",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 \\cdot 5",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(6 \\cdot 5)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{6}{(6 \\cdot 5)^2}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.12, bodu=13, $$\frac{10}{9 + \frac{7}{6}}=\textcolor{white}{\frac{60}{61}}$$return {
["body"] = 13,
["id"] = "My96h8_0420_0551",
["obtiznost"] = 0.12,
["reseni"] = {
["float"] = 0.98360655737705,
["objekt"] = {
["hodnota"] = {
["citatel"] = 60,
["jmenovatel"] = 61 },
["render"] = "\\frac{60}{61}",
["typ"] = "cislo" },
["tex"] = "\\frac{60}{61}",
["y"] = 60,
["z"] = 61 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.12",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "9 + \\frac{7}{6}",
["typ"] = "plus" },
["render"] = "\\frac{10}{9 + \\frac{7}{6}}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.13, bodu=27, $$\frac{8}{7 \cdot 3\frac{4}{8}}=\textcolor{white}{\frac{16}{49}}$$return {
["body"] = 27,
["id"] = "JYd9WG_0420_0551",
["obtiznost"] = 0.33,
["reseni"] = {
["float"] = 0.3265306122449,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 49 },
["render"] = "\\frac{16}{49}",
["typ"] = "cislo" },
["tex"] = "\\frac{16}{49}",
["y"] = 16,
["z"] = 49 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.13",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "7 \\cdot 3\\frac{4}{8}",
["typ"] = "krat" },
["render"] = "\\frac{8}{7 \\cdot 3\\frac{4}{8}}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.14, bodu=27, $$9 - 6 \cdot 10 + 3\frac{4}{7}=\textcolor{white}{-47\frac{3}{7}}$$return {
["body"] = 27,
["id"] = "iU5X1j_0420_0551",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = -47.428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -332,
["jmenovatel"] = 7 },
["render"] = "\\frac{-332}{7}",
["typ"] = "cislo" },
["tex"] = "-47\\frac{3}{7}",
["x"] = -47,
["y"] = 3,
["z"] = 7 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.14",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["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"] = "9 - 6 \\cdot 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "9 - 6 \\cdot 10 + 3\\frac{4}{7}",
["typ"] = "plus" } }
seed: MRlcTf4uuzn3O04EniJY_0.15, bodu=15, $$\frac{\frac{6}{5} - (-3)}{-5}=\textcolor{white}{-0{,}84}$$return {
["body"] = 15,
["id"] = "2uOjQN_0420_0551",
["obtiznost"] = 0.15,
["reseni"] = {
["float"] = -0.84,
["objekt"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 25 },
["render"] = "\\frac{21}{-25}",
["typ"] = "cislo" },
["tex"] = "-\\frac{21}{25}",
["tex_float"] = "-0{,}84",
["y"] = -21,
["z"] = 25 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{6}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{6}{5} - (-3)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{6}{5} - (-3)}{-5}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.16, bodu=7, $$(9 - (9 - (-8)) + 7)^2=\textcolor{white}{1}$$return {
["body"] = 7,
["id"] = "6HFziZ_0420_0551",
["obtiznost"] = 0.1608,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 1 },
["render"] = "\\frac{1}{1}",
["typ"] = "cislo" },
["tex"] = "1",
["x"] = 1 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.16",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "9 - (-8)",
["typ"] = "minus" },
["render"] = "(9 - (-8))",
["typ"] = "zavorka" },
["render"] = "9 - (9 - (-8))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 - (9 - (-8)) + 7",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(9 - (9 - (-8)) + 7)^2",
["typ"] = "mocnina" } }
seed: MRlcTf4uuzn3O04EniJY_0.17, bodu=16, $$\frac{-6 \cdot 8}{5 - 9}=\textcolor{white}{12}$$return {
["body"] = 16,
["id"] = "SV01qE_0420_0551",
["obtiznost"] = 0.17,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "\\frac{-48}{-4}",
["typ"] = "cislo" },
["tex"] = "12",
["x"] = 12 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["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"] = "\\frac{-6 \\cdot 8}{5 - 9}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.18, bodu=31, $$3 \cdot 3 \cdot 3\frac{5}{8}=\textcolor{white}{32{,}625}$$return {
["body"] = 31,
["id"] = "PiIi6G_0420_0551",
["obtiznost"] = 0.38,
["reseni"] = {
["float"] = 32.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 261,
["jmenovatel"] = 8 },
["render"] = "\\frac{261}{8}",
["typ"] = "cislo" },
["tex"] = "32\\frac{5}{8}",
["tex_float"] = "32{,}625",
["x"] = 32,
["y"] = 5,
["z"] = 8 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "3 \\cdot 3\\frac{5}{8}",
["typ"] = "krat" },
["render"] = "3 \\cdot 3 \\cdot 3\\frac{5}{8}",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.19, bodu=8, $$5 + 7 - (-7) - (3 + 6)=\textcolor{white}{10}$$return {
["body"] = 8,
["id"] = "JeQQ7J_0420_0551",
["obtiznost"] = 0.19,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "\\frac{10}{1}",
["typ"] = "cislo" },
["tex"] = "10",
["x"] = 10 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "5 + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "5 + 7 - (-7)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3 + 6",
["typ"] = "plus" },
["render"] = "(3 + 6)",
["typ"] = "zavorka" },
["render"] = "5 + 7 - (-7) - (3 + 6)",
["typ"] = "minus" } }
seed: MRlcTf4uuzn3O04EniJY_0.2, bodu=37, $$\frac{8}{(\frac{13}{2} - (-6))^2}=\textcolor{white}{\frac{32}{625}}$$return {
["body"] = 37,
["id"] = "QghT5k_0420_0551",
["obtiznost"] = 0.4516,
["reseni"] = {
["float"] = 0.0512,
["objekt"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 625 },
["render"] = "\\frac{32}{625}",
["typ"] = "cislo" },
["tex"] = "\\frac{32}{625}",
["y"] = 32,
["z"] = 625 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.2",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "\\frac{13}{2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{13}{2} - (-6)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(\\frac{13}{2} - (-6))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{8}{(\\frac{13}{2} - (-6))^2}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.21, bodu=52, $$(-7 + 3) \cdot 3\frac{2}{5} \cdot 1\frac{3}{7}=\textcolor{white}{-19\frac{3}{7}}$$return {
["body"] = 52,
["id"] = "QYHcDJ_0420_0551",
["obtiznost"] = 0.61,
["reseni"] = {
["float"] = -19.428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -136,
["jmenovatel"] = 7 },
["render"] = "\\frac{-680}{35}",
["typ"] = "cislo" },
["tex"] = "-19\\frac{3}{7}",
["x"] = -19,
["y"] = 3,
["z"] = 7 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-7 + 3",
["typ"] = "plus" },
["render"] = "(-7 + 3)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "(-7 + 3) \\cdot 3\\frac{2}{5}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "(-7 + 3) \\cdot 3\\frac{2}{5} \\cdot 1\\frac{3}{7}",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.22, bodu=46, $$(\frac{(\frac{-6}{12} \cdot 6)^4}{-6})^2=\textcolor{white}{182{,}25}$$return {
["body"] = 46,
["id"] = "Ca7leb_0420_0551",
["obtiznost"] = 0.546,
["reseni"] = {
["float"] = 182.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 729,
["jmenovatel"] = 4 },
["render"] = "\\frac{729}{4}",
["typ"] = "cislo" },
["tex"] = "182\\frac{1}{4}",
["tex_float"] = "182{,}25",
["x"] = 182,
["y"] = 1,
["z"] = 4 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.22",
["zadani"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{12} \\cdot 6",
["typ"] = "krat" },
["mocnitel"] = 4,
["render"] = "(\\frac{-6}{12} \\cdot 6)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{-6}{12} \\cdot 6)^4}{-6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{(\\frac{-6}{12} \\cdot 6)^4}{-6})^2",
["typ"] = "mocnina" } }
seed: MRlcTf4uuzn3O04EniJY_0.23, bodu=28, $$(\frac{-7}{8})^2 \cdot (\frac{11}{7})^2=\textcolor{white}{1\frac{57}{64}}$$return {
["body"] = 28,
["id"] = "K3oWO4_0420_0551",
["obtiznost"] = 0.3432,
["reseni"] = {
["float"] = 1.890625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 121,
["jmenovatel"] = 64 },
["render"] = "\\frac{5929}{3136}",
["typ"] = "cislo" },
["tex"] = "1\\frac{57}{64}",
["x"] = 1,
["y"] = 57,
["z"] = 64 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.23",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-7}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{11}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{11}{7})^2",
["typ"] = "mocnina" },
["render"] = "(\\frac{-7}{8})^2 \\cdot (\\frac{11}{7})^2",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.24, bodu=79, $$2\frac{4}{7} \cdot 1\frac{5}{7} \cdot (4\frac{5}{8} + 11)=\textcolor{white}{68\frac{43}{49}}$$return {
["body"] = 79,
["id"] = "CkYLYf_0420_0551",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = 68.877551020408,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3375,
["jmenovatel"] = 49 },
["render"] = "\\frac{6750}{98}",
["typ"] = "cislo" },
["tex"] = "68\\frac{43}{49}",
["x"] = 68,
["y"] = 43,
["z"] = 49 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.24",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{8} + 11",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{8} + 11)",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{7} \\cdot (4\\frac{5}{8} + 11)",
["typ"] = "krat" },
["render"] = "2\\frac{4}{7} \\cdot 1\\frac{5}{7} \\cdot (4\\frac{5}{8} + 11)",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.25, bodu=21, $$(5 - 7)^4 - \frac{-10}{9}=\textcolor{white}{17\frac{1}{9}}$$return {
["body"] = 21,
["id"] = "N9cvZR_0420_0551",
["obtiznost"] = 0.2568,
["reseni"] = {
["float"] = 17.111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 154,
["jmenovatel"] = 9 },
["render"] = "\\frac{154}{9}",
["typ"] = "cislo" },
["tex"] = "17\\frac{1}{9}",
["x"] = 17,
["y"] = 1,
["z"] = 9 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.25",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "5 - 7",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(5 - 7)^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{9}",
["typ"] = "lomeno" },
["render"] = "(5 - 7)^4 - \\frac{-10}{9}",
["typ"] = "minus" } }
seed: MRlcTf4uuzn3O04EniJY_0.26, bodu=10, $$-8 \cdot -7 \cdot (11 + 9)=\textcolor{white}{1120}$$return {
["body"] = 10,
["id"] = "tvmyfT_0420_0551",
["obtiznost"] = 0.26,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1120,
["jmenovatel"] = 1 },
["render"] = "\\frac{1120}{1}",
["typ"] = "cislo" },
["tex"] = "1120",
["tex_float"] = "1120",
["x"] = 1120 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "11 + 9",
["typ"] = "plus" },
["render"] = "(11 + 9)",
["typ"] = "zavorka" },
["render"] = "-8 \\cdot -7 \\cdot (11 + 9)",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.27, bodu=29, $$\frac{11}{10 - (\frac{7}{13})^2}=\textcolor{white}{1\frac{218}{1641}}$$return {
["body"] = 29,
["id"] = "ZYLr99_0420_0551",
["obtiznost"] = 0.3572,
["reseni"] = {
["float"] = 1.132845825716,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1859,
["jmenovatel"] = 1641 },
["render"] = "\\frac{1859}{1641}",
["typ"] = "cislo" },
["tex"] = "1\\frac{218}{1641}",
["x"] = 1,
["y"] = 218,
["z"] = 1641 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.27",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{7}{13}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{7}{13})^2",
["typ"] = "mocnina" },
["render"] = "10 - (\\frac{7}{13})^2",
["typ"] = "minus" },
["render"] = "\\frac{11}{10 - (\\frac{7}{13})^2}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.28, bodu=60, $$\frac{3\frac{4}{8} + 7 + 7 \cdot 11}{3\frac{3}{8}}=\textcolor{white}{25\frac{25}{27}}$$return {
["body"] = 60,
["id"] = "8NGe20_0420_0551",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = 25.925925925926,
["objekt"] = {
["hodnota"] = {
["citatel"] = 700,
["jmenovatel"] = 27 },
["render"] = "\\frac{1400}{54}",
["typ"] = "cislo" },
["tex"] = "25\\frac{25}{27}",
["x"] = 25,
["y"] = 25,
["z"] = 27 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} + 7",
["typ"] = "plus" },
["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"] = "3\\frac{4}{8} + 7 + 7 \\cdot 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{8} + 7 + 7 \\cdot 11}{3\\frac{3}{8}}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.29, bodu=40, $$(-10 + 1\frac{5}{9} + 10 \cdot -10) \cdot -8=\textcolor{white}{867\frac{5}{9}}$$return {
["body"] = 40,
["id"] = "sHZXXo_0420_0551",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = 867.55555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7808,
["jmenovatel"] = 9 },
["render"] = "\\frac{7808}{9}",
["typ"] = "cislo" },
["tex"] = "867\\frac{5}{9}",
["x"] = 867,
["y"] = 5,
["z"] = 9 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.29",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-10 + 1\\frac{5}{9}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "10 \\cdot -10",
["typ"] = "krat" },
["render"] = "-10 + 1\\frac{5}{9} + 10 \\cdot -10",
["typ"] = "plus" },
["render"] = "(-10 + 1\\frac{5}{9} + 10 \\cdot -10)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(-10 + 1\\frac{5}{9} + 10 \\cdot -10) \\cdot -8",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.3, bodu=65, $$(\frac{-6}{2\frac{4}{6} + 12})^2 \cdot 9=\textcolor{white}{1\frac{245}{484}}$$return {
["body"] = 65,
["id"] = "5NKcx8_0420_0551",
["obtiznost"] = 0.726,
["reseni"] = {
["float"] = 1.5061983471074,
["objekt"] = {
["hodnota"] = {
["citatel"] = 729,
["jmenovatel"] = 484 },
["render"] = "\\frac{729}{484}",
["typ"] = "cislo" },
["tex"] = "1\\frac{245}{484}",
["x"] = 1,
["y"] = 245,
["z"] = 484 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.3",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{6} + 12",
["typ"] = "plus" },
["render"] = "\\frac{-6}{2\\frac{4}{6} + 12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-6}{2\\frac{4}{6} + 12})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(\\frac{-6}{2\\frac{4}{6} + 12})^2 \\cdot 9",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.31, bodu=63, $$\frac{8}{10 \cdot 3\frac{5}{9} + 9 - 4\frac{5}{7}}=\textcolor{white}{\frac{252}{1255}}$$return {
["body"] = 63,
["id"] = "vkdkpn_0420_0551",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = 0.200796812749,
["objekt"] = {
["hodnota"] = {
["citatel"] = 252,
["jmenovatel"] = 1255 },
["render"] = "\\frac{504}{2510}",
["typ"] = "cislo" },
["tex"] = "\\frac{252}{1255}",
["y"] = 252,
["z"] = 1255 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.31",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 3\\frac{5}{9}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "9 - 4\\frac{5}{7}",
["typ"] = "minus" },
["render"] = "10 \\cdot 3\\frac{5}{9} + 9 - 4\\frac{5}{7}",
["typ"] = "plus" },
["render"] = "\\frac{8}{10 \\cdot 3\\frac{5}{9} + 9 - 4\\frac{5}{7}}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.32, bodu=32, $$-5 + (\frac{-11}{8})^2 + 4 + 9=\textcolor{white}{9\frac{57}{64}}$$return {
["body"] = 32,
["id"] = "iORRFR_0420_0551",
["obtiznost"] = 0.394,
["reseni"] = {
["float"] = 9.890625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 633,
["jmenovatel"] = 64 },
["render"] = "\\frac{633}{64}",
["typ"] = "cislo" },
["tex"] = "9\\frac{57}{64}",
["x"] = 9,
["y"] = 57,
["z"] = 64 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.32",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-11}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4 + 9",
["typ"] = "plus" },
["render"] = "(\\frac{-11}{8})^2 + 4 + 9",
["typ"] = "plus" },
["render"] = "-5 + (\\frac{-11}{8})^2 + 4 + 9",
["typ"] = "plus" } }
seed: MRlcTf4uuzn3O04EniJY_0.33, bodu=27, $$\frac{\frac{4}{(8 - 7)^2}}{8}=\textcolor{white}{0{,}5}$$return {
["body"] = 27,
["id"] = "qxJrKc_0420_0551",
["obtiznost"] = 0.3308,
["reseni"] = {
["float"] = 0.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 2 },
["render"] = "\\frac{4}{8}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{2}",
["tex_float"] = "0{,}5",
["y"] = 1,
["z"] = 2 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 - 7",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(8 - 7)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{4}{(8 - 7)^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4}{(8 - 7)^2}}{8}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.34, bodu=13, $$(14 \cdot 14 + 7 - (-5)) \cdot 6=\textcolor{white}{1248}$$return {
["body"] = 13,
["id"] = "2WUqTk_0420_0551",
["obtiznost"] = 0.34,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1248,
["jmenovatel"] = 1 },
["render"] = "\\frac{1248}{1}",
["typ"] = "cislo" },
["tex"] = "1248",
["x"] = 1248 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.34",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "14 \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "14 \\cdot 14 + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "14 \\cdot 14 + 7 - (-5)",
["typ"] = "minus" },
["render"] = "(14 \\cdot 14 + 7 - (-5))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(14 \\cdot 14 + 7 - (-5)) \\cdot 6",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.35, bodu=28, $$\frac{7 \cdot (11 + (-15))}{-8}=\textcolor{white}{3{,}5}$$return {
["body"] = 28,
["id"] = "aMBfYK_0420_0551",
["obtiznost"] = 0.35,
["reseni"] = {
["float"] = 3.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "\\frac{-28}{-8}",
["typ"] = "cislo" },
["tex"] = "3\\frac{1}{2}",
["tex_float"] = "3{,}5",
["x"] = 3,
["y"] = 1,
["z"] = 2 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "11 + (-15)",
["typ"] = "plus" },
["render"] = "(11 + (-15))",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (11 + (-15))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{7 \\cdot (11 + (-15))}{-8}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.36, bodu=47, $$\frac{10}{2} - (4\frac{2}{5} + 12 + 4)=\textcolor{white}{-15{,}4}$$return {
["body"] = 47,
["id"] = "4SpDrK_0420_0551",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = -15.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -77,
["jmenovatel"] = 5 },
["render"] = "\\frac{-77}{5}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{2}{5}",
["tex_float"] = "-15{,}4",
["x"] = -15,
["y"] = 2,
["z"] = 5 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "\\frac{10}{2}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} + 12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} + 12 + 4",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{5} + 12 + 4)",
["typ"] = "zavorka" },
["render"] = "\\frac{10}{2} - (4\\frac{2}{5} + 12 + 4)",
["typ"] = "minus" } }
seed: MRlcTf4uuzn3O04EniJY_0.37, bodu=50, $$1\frac{2}{5} \cdot (8 + (2 \cdot 3)^2 + 11)=\textcolor{white}{77}$$return {
["body"] = 50,
["id"] = "Thlpax_0420_0551",
["obtiznost"] = 0.5848,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 77,
["jmenovatel"] = 1 },
["render"] = "\\frac{385}{5}",
["typ"] = "cislo" },
["tex"] = "77",
["x"] = 77 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.37",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "2 \\cdot 3",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(2 \\cdot 3)^2",
["typ"] = "mocnina" },
["render"] = "8 + (2 \\cdot 3)^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "8 + (2 \\cdot 3)^2 + 11",
["typ"] = "plus" },
["render"] = "(8 + (2 \\cdot 3)^2 + 11)",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{5} \\cdot (8 + (2 \\cdot 3)^2 + 11)",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.38, bodu=49, $$(10 + 1\frac{1}{7} + 14) \cdot -6 \cdot 6=\textcolor{white}{-905\frac{1}{7}}$$return {
["body"] = 49,
["id"] = "caihEd_0420_0551",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = -905.14285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6336,
["jmenovatel"] = 7 },
["render"] = "\\frac{-6336}{7}",
["typ"] = "cislo" },
["tex"] = "-905\\frac{1}{7}",
["x"] = -905,
["y"] = 1,
["z"] = 7 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.38",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "10 + 1\\frac{1}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "10 + 1\\frac{1}{7} + 14",
["typ"] = "plus" },
["render"] = "(10 + 1\\frac{1}{7} + 14)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 6",
["typ"] = "krat" },
["render"] = "(10 + 1\\frac{1}{7} + 14) \\cdot -6 \\cdot 6",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.39, bodu=73, $$-6 \cdot (1\frac{4}{7} - 2\frac{1}{6} + \frac{5}{9})=\textcolor{white}{\frac{5}{21}}$$return {
["body"] = 73,
["id"] = "nBcKyX_0420_0551",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = 0.23809523809524,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 21 },
["render"] = "\\frac{30}{126}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{21}",
["y"] = 5,
["z"] = 21 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.39",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{7} - 2\\frac{1}{6}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{5}{9}",
["typ"] = "lomeno" },
["render"] = "1\\frac{4}{7} - 2\\frac{1}{6} + \\frac{5}{9}",
["typ"] = "plus" },
["render"] = "(1\\frac{4}{7} - 2\\frac{1}{6} + \\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "-6 \\cdot (1\\frac{4}{7} - 2\\frac{1}{6} + \\frac{5}{9})",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.4, bodu=65, $$\frac{10 \cdot -14}{2\frac{4}{10} + (\frac{14}{11})^2}=\textcolor{white}{-34\frac{503}{608}}$$return {
["body"] = 65,
["id"] = "gEaPjg_0420_0551",
["obtiznost"] = 0.7268,
["reseni"] = {
["float"] = -34.827302631579,
["objekt"] = {
["hodnota"] = {
["citatel"] = -21175,
["jmenovatel"] = 608 },
["render"] = "\\frac{-84700}{2432}",
["typ"] = "cislo" },
["tex"] = "-34\\frac{503}{608}",
["x"] = -34,
["y"] = 503,
["z"] = 608 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "10 \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{14}{11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{14}{11})^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{4}{10} + (\\frac{14}{11})^2",
["typ"] = "plus" },
["render"] = "\\frac{10 \\cdot -14}{2\\frac{4}{10} + (\\frac{14}{11})^2}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.41, bodu=52, $$\frac{9}{8 \cdot \frac{2\frac{2}{6}}{-11}}=\textcolor{white}{-5\frac{17}{56}}$$return {
["body"] = 52,
["id"] = "TpbVZe_0420_0551",
["obtiznost"] = 0.61,
["reseni"] = {
["float"] = -5.3035714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -297,
["jmenovatel"] = 56 },
["render"] = "\\frac{297}{-56}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{17}{56}",
["x"] = -5,
["y"] = 17,
["z"] = 56 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.41",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{6}}{-11}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot \\frac{2\\frac{2}{6}}{-11}",
["typ"] = "krat" },
["render"] = "\\frac{9}{8 \\cdot \\frac{2\\frac{2}{6}}{-11}}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.42, bodu=53, $$\frac{-16}{-8 \cdot -5 \cdot -7 + 4\frac{2}{5}}=\textcolor{white}{\frac{40}{689}}$$return {
["body"] = 53,
["id"] = "LFhprx_0420_0551",
["obtiznost"] = 0.62,
["reseni"] = {
["float"] = 0.058055152394775,
["objekt"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 689 },
["render"] = "\\frac{-80}{-1378}",
["typ"] = "cislo" },
["tex"] = "\\frac{40}{689}",
["y"] = 40,
["z"] = 689 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.42",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-5 \\cdot -7",
["typ"] = "krat" },
["render"] = "-8 \\cdot -5 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -5 \\cdot -7 + 4\\frac{2}{5}",
["typ"] = "plus" },
["render"] = "\\frac{-16}{-8 \\cdot -5 \\cdot -7 + 4\\frac{2}{5}}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.43, bodu=78, $$\frac{\frac{3\frac{4}{7}}{-12} + (-8)}{7 + 3\frac{4}{6}}=\textcolor{white}{-\frac{697}{896}}$$return {
["body"] = 78,
["id"] = "R0pjJR_0420_0551",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = -0.77790178571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -697,
["jmenovatel"] = 896 },
["render"] = "\\frac{-2091}{2688}",
["typ"] = "cislo" },
["tex"] = "-\\frac{697}{896}",
["y"] = -697,
["z"] = 896 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{7}}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{7}}{-12} + (-8)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "7 + 3\\frac{4}{6}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{3\\frac{4}{7}}{-12} + (-8)}{7 + 3\\frac{4}{6}}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.44, bodu=79, $$(3\frac{3}{8} \cdot -3 - (-9)) \cdot 1\frac{5}{6} \cdot 8=\textcolor{white}{-16{,}5}$$return {
["body"] = 79,
["id"] = "KDDTxm_0420_0551",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = -16.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -33,
["jmenovatel"] = 2 },
["render"] = "\\frac{-396}{24}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{1}{2}",
["tex_float"] = "-16{,}5",
["x"] = -16,
["y"] = 1,
["z"] = 2 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.44",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{8} \\cdot -3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{8} \\cdot -3 - (-9)",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{8} \\cdot -3 - (-9))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{6} \\cdot 8",
["typ"] = "krat" },
["render"] = "(3\\frac{3}{8} \\cdot -3 - (-9)) \\cdot 1\\frac{5}{6} \\cdot 8",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.45, bodu=37, $$\frac{10 \cdot -14 \cdot -11 + (-11)}{4}=\textcolor{white}{382{,}25}$$return {
["body"] = 37,
["id"] = "5I7vGu_0420_0551",
["obtiznost"] = 0.45,
["reseni"] = {
["float"] = 382.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1529,
["jmenovatel"] = 4 },
["render"] = "\\frac{1529}{4}",
["typ"] = "cislo" },
["tex"] = "382\\frac{1}{4}",
["tex_float"] = "382{,}25",
["x"] = 382,
["y"] = 1,
["z"] = 4 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "10 \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "10 \\cdot -14 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "10 \\cdot -14 \\cdot -11 + (-11)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{10 \\cdot -14 \\cdot -11 + (-11)}{4}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.46, bodu=38, $$\frac{\frac{9}{-4 \cdot -6}}{10}=\textcolor{white}{\frac{3}{80}}$$return {
["body"] = 38,
["id"] = "B5zPsn_0420_0551",
["obtiznost"] = 0.46,
["reseni"] = {
["float"] = 0.0375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 80 },
["render"] = "\\frac{3}{80}",
["typ"] = "cislo" },
["tex"] = "\\frac{3}{80}",
["y"] = 3,
["z"] = 80 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-4 \\cdot -6",
["typ"] = "krat" },
["render"] = "\\frac{9}{-4 \\cdot -6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{9}{-4 \\cdot -6}}{10}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.47, bodu=109, $$17 \cdot 1\frac{4}{8} + 1\frac{1}{3} - 2\frac{4}{10} \cdot 12=\textcolor{white}{-1\frac{29}{30}}$$return {
["body"] = 109,
["id"] = "fBpEIm_0420_0551",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = -1.9666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -59,
["jmenovatel"] = 30 },
["render"] = "\\frac{-59}{30}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{29}{30}",
["x"] = -1,
["y"] = 29,
["z"] = 30 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "17 \\cdot 1\\frac{4}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "17 \\cdot 1\\frac{4}{8} + 1\\frac{1}{3}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{10} \\cdot 12",
["typ"] = "krat" },
["render"] = "17 \\cdot 1\\frac{4}{8} + 1\\frac{1}{3} - 2\\frac{4}{10} \\cdot 12",
["typ"] = "minus" } }
seed: MRlcTf4uuzn3O04EniJY_0.48, bodu=39, $$11 + 10 - \frac{-8}{\frac{-6}{13}}=\textcolor{white}{3\frac{2}{3}}$$return {
["body"] = 39,
["id"] = "zsalqa_0420_0551",
["obtiznost"] = 0.48,
["reseni"] = {
["float"] = 3.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "\\frac{11}{3}",
["typ"] = "cislo" },
["tex"] = "3\\frac{2}{3}",
["x"] = 3,
["y"] = 2,
["z"] = 3 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "11 + 10",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{13}",
["typ"] = "lomeno" },
["render"] = "\\frac{-8}{\\frac{-6}{13}}",
["typ"] = "lomeno" },
["render"] = "11 + 10 - \\frac{-8}{\\frac{-6}{13}}",
["typ"] = "minus" } }
seed: MRlcTf4uuzn3O04EniJY_0.49, bodu=85, $$\frac{4\frac{5}{9}}{14 + (-14) + (1\frac{1}{5} - (-13)) \cdot -3}=\textcolor{white}{-\frac{205}{1917}}$$return {
["body"] = 85,
["id"] = "ReYPBw_0420_0551",
["obtiznost"] = 0.89,
["reseni"] = {
["float"] = -0.10693792383933,
["objekt"] = {
["hodnota"] = {
["citatel"] = -205,
["jmenovatel"] = 1917 },
["render"] = "\\frac{205}{-1917}",
["typ"] = "cislo" },
["tex"] = "-\\frac{205}{1917}",
["y"] = -205,
["z"] = 1917 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.49",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "14 + (-14)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{5} - (-13)",
["typ"] = "minus" },
["render"] = "(1\\frac{1}{5} - (-13))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "(1\\frac{1}{5} - (-13)) \\cdot -3",
["typ"] = "krat" },
["render"] = "14 + (-14) + (1\\frac{1}{5} - (-13)) \\cdot -3",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{5}{9}}{14 + (-14) + (1\\frac{1}{5} - (-13)) \\cdot -3}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.5, bodu=62, $$10 - (-8 + 3\frac{5}{6} - (-10)) \cdot -4=\textcolor{white}{33\frac{1}{3}}$$return {
["body"] = 62,
["id"] = "3aViV7_0420_0551",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = 33.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 100,
["jmenovatel"] = 3 },
["render"] = "\\frac{100}{3}",
["typ"] = "cislo" },
["tex"] = "33\\frac{1}{3}",
["x"] = 33,
["y"] = 1,
["z"] = 3 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.5",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 6 },
["render"] = "3\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "-8 + 3\\frac{5}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-8 + 3\\frac{5}{6} - (-10)",
["typ"] = "minus" },
["render"] = "(-8 + 3\\frac{5}{6} - (-10))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "(-8 + 3\\frac{5}{6} - (-10)) \\cdot -4",
["typ"] = "krat" },
["render"] = "10 - (-8 + 3\\frac{5}{6} - (-10)) \\cdot -4",
["typ"] = "minus" } }
seed: MRlcTf4uuzn3O04EniJY_0.51, bodu=88, $$12 + 11 - (2\frac{4}{7} - (5 + \frac{10}{1\frac{4}{8}}))=\textcolor{white}{32\frac{2}{21}}$$return {
["body"] = 88,
["id"] = "yvyMAw_0420_0551",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = 32.095238095238,
["objekt"] = {
["hodnota"] = {
["citatel"] = 674,
["jmenovatel"] = 21 },
["render"] = "\\frac{674}{21}",
["typ"] = "cislo" },
["tex"] = "32\\frac{2}{21}",
["x"] = 32,
["y"] = 2,
["z"] = 21 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "12 + 11",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{1\\frac{4}{8}}",
["typ"] = "lomeno" },
["render"] = "5 + \\frac{10}{1\\frac{4}{8}}",
["typ"] = "plus" },
["render"] = "(5 + \\frac{10}{1\\frac{4}{8}})",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{7} - (5 + \\frac{10}{1\\frac{4}{8}})",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{7} - (5 + \\frac{10}{1\\frac{4}{8}}))",
["typ"] = "zavorka" },
["render"] = "12 + 11 - (2\\frac{4}{7} - (5 + \\frac{10}{1\\frac{4}{8}}))",
["typ"] = "minus" } }
seed: MRlcTf4uuzn3O04EniJY_0.52, bodu=146, $$4\frac{4}{12} - 2\frac{5}{11} - 1\frac{1}{8} \cdot (2\frac{5}{8} - (-7))=\textcolor{white}{-8\frac{2005}{2112}}$$return {
["body"] = 146,
["id"] = "w3OhTf_0420_0551",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = -8.9493371212121,
["objekt"] = {
["hodnota"] = {
["citatel"] = -18901,
["jmenovatel"] = 2112 },
["render"] = "\\frac{-18901}{2112}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{2005}{2112}",
["x"] = -8,
["y"] = 2005,
["z"] = 2112 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{12} - 2\\frac{5}{11}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{8} - (-7)",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{8} - (-7))",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{8} \\cdot (2\\frac{5}{8} - (-7))",
["typ"] = "krat" },
["render"] = "4\\frac{4}{12} - 2\\frac{5}{11} - 1\\frac{1}{8} \\cdot (2\\frac{5}{8} - (-7))",
["typ"] = "minus" } }
seed: MRlcTf4uuzn3O04EniJY_0.53, bodu=22, $$11 \cdot (8 \cdot 7 \cdot 14 - (-13))=\textcolor{white}{8767}$$return {
["body"] = 22,
["id"] = "xbVDuw_0420_0551",
["obtiznost"] = 0.53,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 8767,
["jmenovatel"] = 1 },
["render"] = "\\frac{8767}{1}",
["typ"] = "cislo" },
["tex"] = "8767",
["x"] = 8767 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.53",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "8 \\cdot 7 \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "8 \\cdot 7 \\cdot 14 - (-13)",
["typ"] = "minus" },
["render"] = "(8 \\cdot 7 \\cdot 14 - (-13))",
["typ"] = "zavorka" },
["render"] = "11 \\cdot (8 \\cdot 7 \\cdot 14 - (-13))",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.54, bodu=92, $$4\frac{1}{9} - (-16) - (-11 \cdot \frac{3\frac{3}{10}}{-16})=\textcolor{white}{17\frac{1213}{1440}}$$return {
["body"] = 92,
["id"] = "gS1P1I_0420_0551",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = 17.842361111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25693,
["jmenovatel"] = 1440 },
["render"] = "\\frac{25693}{1440}",
["typ"] = "cislo" },
["tex"] = "17\\frac{1213}{1440}",
["x"] = 17,
["y"] = 1213,
["z"] = 1440 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{9} - (-16)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{10}}{-16}",
["typ"] = "lomeno" },
["render"] = "-11 \\cdot \\frac{3\\frac{3}{10}}{-16}",
["typ"] = "krat" },
["render"] = "4\\frac{1}{9} - (-16) - (-11 \\cdot \\frac{3\\frac{3}{10}}{-16})",
["typ"] = "minus" } }
seed: MRlcTf4uuzn3O04EniJY_0.55, bodu=93, $$\frac{1\frac{2}{6}}{8 \cdot \frac{4\frac{2}{6}}{-18}}=\textcolor{white}{-\frac{9}{13}}$$return {
["body"] = 93,
["id"] = "1K61Nc_0420_0551",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = -0.69230769230769,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 13 },
["render"] = "\\frac{108}{-156}",
["typ"] = "cislo" },
["tex"] = "-\\frac{9}{13}",
["y"] = -9,
["z"] = 13 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.55",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{6}}{-18}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot \\frac{4\\frac{2}{6}}{-18}",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{2}{6}}{8 \\cdot \\frac{4\\frac{2}{6}}{-18}}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.56, bodu=94, $$1\frac{5}{9} \cdot 8 - (10 - (2\frac{2}{8} + 11))=\textcolor{white}{15\frac{25}{36}}$$return {
["body"] = 94,
["id"] = "FBVNll_0420_0551",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = 15.694444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 565,
["jmenovatel"] = 36 },
["render"] = "\\frac{565}{36}",
["typ"] = "cislo" },
["tex"] = "15\\frac{25}{36}",
["x"] = 15,
["y"] = 25,
["z"] = 36 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{8} + 11",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{8} + 11)",
["typ"] = "zavorka" },
["render"] = "10 - (2\\frac{2}{8} + 11)",
["typ"] = "minus" },
["render"] = "(10 - (2\\frac{2}{8} + 11))",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{9} \\cdot 8 - (10 - (2\\frac{2}{8} + 11))",
["typ"] = "minus" } }
seed: MRlcTf4uuzn3O04EniJY_0.57, bodu=24, $$14 \cdot (10 - (15 + 11 \cdot 12))=\textcolor{white}{-1918}$$return {
["body"] = 24,
["id"] = "ile4Mm_0420_0551",
["obtiznost"] = 0.57,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1918,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1918}{1}",
["typ"] = "cislo" },
["tex"] = "-1918",
["tex_float"] = "-1918",
["x"] = -1918 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.57",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "11 \\cdot 12",
["typ"] = "krat" },
["render"] = "15 + 11 \\cdot 12",
["typ"] = "plus" },
["render"] = "(15 + 11 \\cdot 12)",
["typ"] = "zavorka" },
["render"] = "10 - (15 + 11 \\cdot 12)",
["typ"] = "minus" },
["render"] = "(10 - (15 + 11 \\cdot 12))",
["typ"] = "zavorka" },
["render"] = "14 \\cdot (10 - (15 + 11 \\cdot 12))",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.58, bodu=97, $$1\frac{3}{11} - 7 + (6 + 1\frac{3}{8}) \cdot (7 + (-13))=\textcolor{white}{-49\frac{43}{44}}$$return {
["body"] = 97,
["id"] = "3iyieD_0420_0551",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = -49.977272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2199,
["jmenovatel"] = 44 },
["render"] = "\\frac{-2199}{44}",
["typ"] = "cislo" },
["tex"] = "-49\\frac{43}{44}",
["x"] = -49,
["y"] = 43,
["z"] = 44 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{11} - 7",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "6 + 1\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(6 + 1\\frac{3}{8})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "7 + (-13)",
["typ"] = "plus" },
["render"] = "(7 + (-13))",
["typ"] = "zavorka" },
["render"] = "(6 + 1\\frac{3}{8}) \\cdot (7 + (-13))",
["typ"] = "krat" },
["render"] = "1\\frac{3}{11} - 7 + (6 + 1\\frac{3}{8}) \\cdot (7 + (-13))",
["typ"] = "plus" } }
seed: MRlcTf4uuzn3O04EniJY_0.59, bodu=99, $$2\frac{1}{4} - 12 - 4\frac{3}{11} \cdot (10 + (-8))^4=\textcolor{white}{-78\frac{5}{44}}$$return {
["body"] = 99,
["id"] = "tiEsi4_0420_0551",
["obtiznost"] = 0.9968,
["reseni"] = {
["float"] = -78.113636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3437,
["jmenovatel"] = 44 },
["render"] = "\\frac{-3437}{44}",
["typ"] = "cislo" },
["tex"] = "-78\\frac{5}{44}",
["x"] = -78,
["y"] = 5,
["z"] = 44 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{4} - 12",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 4,
["render"] = "(10 + (-8))^4",
["typ"] = "mocnina" },
["render"] = "4\\frac{3}{11} \\cdot (10 + (-8))^4",
["typ"] = "krat" },
["render"] = "2\\frac{1}{4} - 12 - 4\\frac{3}{11} \\cdot (10 + (-8))^4",
["typ"] = "minus" } }
seed: MRlcTf4uuzn3O04EniJY_0.6, bodu=74, $$-13 - ((1\frac{3}{8} \cdot (-13 - (-13)))^3 + 19 - 17)^2=\textcolor{white}{-17}$$return {
["body"] = 74,
["id"] = "VVYSv3_0420_0551",
["obtiznost"] = 0.8024,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "\\frac{-17}{1}",
["typ"] = "cislo" },
["tex"] = "-17",
["x"] = -17 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.6",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-13 - (-13)",
["typ"] = "minus" },
["render"] = "(-13 - (-13))",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{8} \\cdot (-13 - (-13))",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "(1\\frac{3}{8} \\cdot (-13 - (-13)))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "(1\\frac{3}{8} \\cdot (-13 - (-13)))^3 + 19",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "(1\\frac{3}{8} \\cdot (-13 - (-13)))^3 + 19 - 17",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "((1\\frac{3}{8} \\cdot (-13 - (-13)))^3 + 19 - 17)^2",
["typ"] = "mocnina" },
["render"] = "-13 - ((1\\frac{3}{8} \\cdot (-13 - (-13)))^3 + 19 - 17)^2",
["typ"] = "minus" } }
seed: MRlcTf4uuzn3O04EniJY_0.61, bodu=52, $$\frac{10}{\frac{8}{15 \cdot 10 \cdot 5}}=\textcolor{white}{937{,}5}$$return {
["body"] = 52,
["id"] = "TvLtdX_0420_0551",
["obtiznost"] = 0.61,
["reseni"] = {
["float"] = 937.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1875,
["jmenovatel"] = 2 },
["render"] = "\\frac{3750}{4}",
["typ"] = "cislo" },
["tex"] = "937\\frac{1}{2}",
["tex_float"] = "937{,}5",
["x"] = 937,
["y"] = 1,
["z"] = 2 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.61",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "15 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "15 \\cdot 10 \\cdot 5",
["typ"] = "krat" },
["render"] = "\\frac{8}{15 \\cdot 10 \\cdot 5}",
["typ"] = "lomeno" },
["render"] = "\\frac{10}{\\frac{8}{15 \\cdot 10 \\cdot 5}}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.62, bodu=102, $$\frac{2\frac{4}{7}}{7 + (15 - 13 - 3\frac{2}{9}) \cdot 13}=\textcolor{white}{-\frac{81}{280}}$$return {
["body"] = 102,
["id"] = "AS750z_0420_0551",
["obtiznost"] = 1.02,
["reseni"] = {
["float"] = -0.28928571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -81,
["jmenovatel"] = 280 },
["render"] = "\\frac{162}{-560}",
["typ"] = "cislo" },
["tex"] = "-\\frac{81}{280}",
["y"] = -81,
["z"] = 280 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.62",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "15 - 13",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "15 - 13 - 3\\frac{2}{9}",
["typ"] = "minus" },
["render"] = "(15 - 13 - 3\\frac{2}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(15 - 13 - 3\\frac{2}{9}) \\cdot 13",
["typ"] = "krat" },
["render"] = "7 + (15 - 13 - 3\\frac{2}{9}) \\cdot 13",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{4}{7}}{7 + (15 - 13 - 3\\frac{2}{9}) \\cdot 13}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.63, bodu=152, $$\frac{(16 + (-11))^4}{\frac{3\frac{2}{5}}{(\frac{11}{9})^2} + 2\frac{5}{9}}=\textcolor{white}{129\frac{9393}{26308}}$$return {
["body"] = 152,
["id"] = "8ZNwOg_0420_0551",
["obtiznost"] = 1.3612,
["reseni"] = {
["float"] = 129.35703968375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3403125,
["jmenovatel"] = 26308 },
["render"] = "\\frac{3403125}{26308}",
["typ"] = "cislo" },
["tex"] = "129\\frac{9393}{26308}",
["x"] = 129,
["y"] = 9393,
["z"] = 26308 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.63",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "16 + (-11)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(16 + (-11))^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{11}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{11}{9})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{3\\frac{2}{5}}{(\\frac{11}{9})^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{5}}{(\\frac{11}{9})^2} + 2\\frac{5}{9}",
["typ"] = "plus" },
["render"] = "\\frac{(16 + (-11))^4}{\\frac{3\\frac{2}{5}}{(\\frac{11}{9})^2} + 2\\frac{5}{9}}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.64, bodu=85, $$\frac{(7 + (-18))^2}{4\frac{3}{8} - (-10 - \frac{14}{13})}=\textcolor{white}{7\frac{1335}{1607}}$$return {
["body"] = 85,
["id"] = "JhfSDu_0420_0551",
["obtiznost"] = 0.8888,
["reseni"] = {
["float"] = 7.8307405102676,
["objekt"] = {
["hodnota"] = {
["citatel"] = 12584,
["jmenovatel"] = 1607 },
["render"] = "\\frac{12584}{1607}",
["typ"] = "cislo" },
["tex"] = "7\\frac{1335}{1607}",
["x"] = 7,
["y"] = 1335,
["z"] = 1607 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.64",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "7 + (-18)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(7 + (-18))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{14}{13}",
["typ"] = "lomeno" },
["render"] = "-10 - \\frac{14}{13}",
["typ"] = "minus" },
["render"] = "(-10 - \\frac{14}{13})",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{8} - (-10 - \\frac{14}{13})",
["typ"] = "minus" },
["render"] = "\\frac{(7 + (-18))^2}{4\\frac{3}{8} - (-10 - \\frac{14}{13})}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.65, bodu=81, $$\frac{(9 + (-12))^3 \cdot 4\frac{4}{8}}{5 \cdot 18}=\textcolor{white}{-1{,}35}$$return {
["body"] = 81,
["id"] = "yW8KVG_0420_0551",
["obtiznost"] = 0.8612,
["reseni"] = {
["float"] = -1.35,
["objekt"] = {
["hodnota"] = {
["citatel"] = -27,
["jmenovatel"] = 20 },
["render"] = "\\frac{-243}{180}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{7}{20}",
["tex_float"] = "-1{,}35",
["x"] = -1,
["y"] = 7,
["z"] = 20 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "9 + (-12)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(9 + (-12))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "(9 + (-12))^3 \\cdot 4\\frac{4}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "5 \\cdot 18",
["typ"] = "krat" },
["render"] = "\\frac{(9 + (-12))^3 \\cdot 4\\frac{4}{8}}{5 \\cdot 18}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.66, bodu=109, $$\frac{\frac{17}{3}}{(15 - (-8))^2} - (1\frac{3}{9} + 8)=\textcolor{white}{-9\frac{512}{1587}}$$return {
["body"] = 109,
["id"] = "umUrlV_0420_0551",
["obtiznost"] = 1.072,
["reseni"] = {
["float"] = -9.3226212980466,
["objekt"] = {
["hodnota"] = {
["citatel"] = -14795,
["jmenovatel"] = 1587 },
["render"] = "\\frac{-44385}{4761}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{512}{1587}",
["x"] = -9,
["y"] = 512,
["z"] = 1587 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{17}{3}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "15 - (-8)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(15 - (-8))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{17}{3}}{(15 - (-8))^2}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{9} + 8",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{9} + 8)",
["typ"] = "zavorka" },
["render"] = "\\frac{\\frac{17}{3}}{(15 - (-8))^2} - (1\\frac{3}{9} + 8)",
["typ"] = "minus" } }
seed: MRlcTf4uuzn3O04EniJY_0.67, bodu=29, $$-5 \cdot (9 + (13 + (-12)) \cdot 6 \cdot -12)=\textcolor{white}{315}$$return {
["body"] = 29,
["id"] = "NRmRD6_0420_0551",
["obtiznost"] = 0.67,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 315,
["jmenovatel"] = 1 },
["render"] = "\\frac{315}{1}",
["typ"] = "cislo" },
["tex"] = "315",
["tex_float"] = "315",
["x"] = 315 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.67",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "13 + (-12)",
["typ"] = "plus" },
["render"] = "(13 + (-12))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "6 \\cdot -12",
["typ"] = "krat" },
["render"] = "(13 + (-12)) \\cdot 6 \\cdot -12",
["typ"] = "krat" },
["render"] = "9 + (13 + (-12)) \\cdot 6 \\cdot -12",
["typ"] = "plus" },
["render"] = "(9 + (13 + (-12)) \\cdot 6 \\cdot -12)",
["typ"] = "zavorka" },
["render"] = "-5 \\cdot (9 + (13 + (-12)) \\cdot 6 \\cdot -12)",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.68, bodu=111, $$\frac{11 \cdot 1\frac{5}{9} \cdot -9}{3\frac{1}{6} - 15}=\textcolor{white}{13\frac{1}{71}}$$return {
["body"] = 111,
["id"] = "CEPfCM_0420_0551",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = 13.014084507042,
["objekt"] = {
["hodnota"] = {
["citatel"] = 924,
["jmenovatel"] = 71 },
["render"] = "\\frac{-924}{-71}",
["typ"] = "cislo" },
["tex"] = "13\\frac{1}{71}",
["x"] = 13,
["y"] = 1,
["z"] = 71 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} \\cdot -9",
["typ"] = "krat" },
["render"] = "11 \\cdot 1\\frac{5}{9} \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} - 15",
["typ"] = "minus" },
["render"] = "\\frac{11 \\cdot 1\\frac{5}{9} \\cdot -9}{3\\frac{1}{6} - 15}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.69, bodu=112, $$(\frac{12 + (-12)}{3\frac{4}{10} - (-10)} \cdot (-13 - 4\frac{1}{8}))^2=\textcolor{white}{0}$$return {
["body"] = 112,
["id"] = "kMxNle_0420_0551",
["obtiznost"] = 1.0904,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["x"] = 0 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.69",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "12 + (-12)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} - (-10)",
["typ"] = "minus" },
["render"] = "\\frac{12 + (-12)}{3\\frac{4}{10} - (-10)}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "-13 - 4\\frac{1}{8}",
["typ"] = "minus" },
["render"] = "(-13 - 4\\frac{1}{8})",
["typ"] = "zavorka" },
["render"] = "\\frac{12 + (-12)}{3\\frac{4}{10} - (-10)} \\cdot (-13 - 4\\frac{1}{8})",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(\\frac{12 + (-12)}{3\\frac{4}{10} - (-10)} \\cdot (-13 - 4\\frac{1}{8}))^2",
["typ"] = "mocnina" } }
seed: MRlcTf4uuzn3O04EniJY_0.7, bodu=127, $$\frac{\frac{(\frac{8}{\frac{-16}{9}})^3}{13}}{2\frac{2}{5}}=\textcolor{white}{-2\frac{383}{416}}$$return {
["body"] = 127,
["id"] = "hv7cZt_0420_0551",
["obtiznost"] = 1.1948,
["reseni"] = {
["float"] = -2.9206730769231,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1215,
["jmenovatel"] = 416 },
["render"] = "\\frac{-3645}{1248}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{383}{416}",
["x"] = -2,
["y"] = 383,
["z"] = 416 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{8}{\\frac{-16}{9}}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{8}{\\frac{-16}{9}})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{8}{\\frac{-16}{9}})^3}{13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{(\\frac{8}{\\frac{-16}{9}})^3}{13}}{2\\frac{2}{5}}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.71, bodu=115, $$\frac{\frac{12}{-8 + 10}}{7 + 4\frac{2}{8}} + 4\frac{1}{9}=\textcolor{white}{4\frac{29}{45}}$$return {
["body"] = 115,
["id"] = "GtP3Wv_0420_0551",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = 4.6444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 209,
["jmenovatel"] = 45 },
["render"] = "\\frac{627}{135}",
["typ"] = "cislo" },
["tex"] = "4\\frac{29}{45}",
["x"] = 4,
["y"] = 29,
["z"] = 45 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-8 + 10",
["typ"] = "plus" },
["render"] = "\\frac{12}{-8 + 10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "7 + 4\\frac{2}{8}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{12}{-8 + 10}}{7 + 4\\frac{2}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{12}{-8 + 10}}{7 + 4\\frac{2}{8}} + 4\\frac{1}{9}",
["typ"] = "plus" } }
seed: MRlcTf4uuzn3O04EniJY_0.72, bodu=89, $$\frac{4\frac{3}{4}}{-17 - (-11 + 5) \cdot 10} + 14=\textcolor{white}{14\frac{19}{172}}$$return {
["body"] = 89,
["id"] = "m7AgeL_0420_0551",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = 14.110465116279,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2427,
["jmenovatel"] = 172 },
["render"] = "\\frac{2427}{172}",
["typ"] = "cislo" },
["tex"] = "14\\frac{19}{172}",
["x"] = 14,
["y"] = 19,
["z"] = 172 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-11 + 5",
["typ"] = "plus" },
["render"] = "(-11 + 5)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(-11 + 5) \\cdot 10",
["typ"] = "krat" },
["render"] = "-17 - (-11 + 5) \\cdot 10",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{3}{4}}{-17 - (-11 + 5) \\cdot 10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{4}}{-17 - (-11 + 5) \\cdot 10} + 14",
["typ"] = "plus" } }
seed: MRlcTf4uuzn3O04EniJY_0.73, bodu=118, $$\frac{2\frac{3}{5} - 3\frac{1}{9} - 7}{6 - (-9)} + 9=\textcolor{white}{8\frac{337}{675}}$$return {
["body"] = 118,
["id"] = "ZOLdpz_0420_0551",
["obtiznost"] = 1.13,
["reseni"] = {
["float"] = 8.4992592592593,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5737,
["jmenovatel"] = 675 },
["render"] = "\\frac{5737}{675}",
["typ"] = "cislo" },
["tex"] = "8\\frac{337}{675}",
["x"] = 8,
["y"] = 337,
["z"] = 675 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{5} - 3\\frac{1}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{5} - 3\\frac{1}{9} - 7",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "6 - (-9)",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{3}{5} - 3\\frac{1}{9} - 7}{6 - (-9)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{5} - 3\\frac{1}{9} - 7}{6 - (-9)} + 9",
["typ"] = "plus" } }
seed: MRlcTf4uuzn3O04EniJY_0.74, bodu=119, $$\frac{-13 - 11}{3\frac{1}{11}} \cdot 2\frac{3}{8} \cdot 18=\textcolor{white}{-331\frac{16}{17}}$$return {
["body"] = 119,
["id"] = "BejItH_0420_0551",
["obtiznost"] = 1.14,
["reseni"] = {
["float"] = -331.94117647059,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5643,
["jmenovatel"] = 17 },
["render"] = "\\frac{-22572}{68}",
["typ"] = "cislo" },
["tex"] = "-331\\frac{16}{17}",
["x"] = -331,
["y"] = 16,
["z"] = 17 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-13 - 11",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 34,
["jmenovatel"] = 11 },
["render"] = "3\\frac{1}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{-13 - 11}{3\\frac{1}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} \\cdot 18",
["typ"] = "krat" },
["render"] = "\\frac{-13 - 11}{3\\frac{1}{11}} \\cdot 2\\frac{3}{8} \\cdot 18",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.75, bodu=120, $$\frac{1\frac{3}{10}}{2 - (16 - 1\frac{2}{7})} \cdot 9=\textcolor{white}{-\frac{819}{890}}$$return {
["body"] = 120,
["id"] = "4Y11Vh_0420_0551",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = -0.92022471910112,
["objekt"] = {
["hodnota"] = {
["citatel"] = -819,
["jmenovatel"] = 890 },
["render"] = "\\frac{-819}{890}",
["typ"] = "cislo" },
["tex"] = "-\\frac{819}{890}",
["y"] = -819,
["z"] = 890 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "16 - 1\\frac{2}{7}",
["typ"] = "minus" },
["render"] = "(16 - 1\\frac{2}{7})",
["typ"] = "zavorka" },
["render"] = "2 - (16 - 1\\frac{2}{7})",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{3}{10}}{2 - (16 - 1\\frac{2}{7})}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{10}}{2 - (16 - 1\\frac{2}{7})} \\cdot 9",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.76, bodu=122, $$\frac{12 + \frac{-7}{1\frac{2}{10}} \cdot -8}{4\frac{3}{7}}=\textcolor{white}{13\frac{23}{93}}$$return {
["body"] = 122,
["id"] = "GguoV4_0420_0551",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = 13.247311827957,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1232,
["jmenovatel"] = 93 },
["render"] = "\\frac{1232}{93}",
["typ"] = "cislo" },
["tex"] = "13\\frac{23}{93}",
["x"] = 13,
["y"] = 23,
["z"] = 93 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{1\\frac{2}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{1\\frac{2}{10}} \\cdot -8",
["typ"] = "krat" },
["render"] = "12 + \\frac{-7}{1\\frac{2}{10}} \\cdot -8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{12 + \\frac{-7}{1\\frac{2}{10}} \\cdot -8}{4\\frac{3}{7}}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.77, bodu=95, $$\frac{12 + (-6 - 11 \cdot (3\frac{5}{11} + 20))}{-18}=\textcolor{white}{14}$$return {
["body"] = 95,
["id"] = "Hrr5Gs_0420_0551",
["obtiznost"] = 0.97,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "\\frac{-252}{-18}",
["typ"] = "cislo" },
["tex"] = "14",
["tex_float"] = "14",
["x"] = 14 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} + 20",
["typ"] = "plus" },
["render"] = "(3\\frac{5}{11} + 20)",
["typ"] = "zavorka" },
["render"] = "11 \\cdot (3\\frac{5}{11} + 20)",
["typ"] = "krat" },
["render"] = "-6 - 11 \\cdot (3\\frac{5}{11} + 20)",
["typ"] = "minus" },
["render"] = "12 + (-6 - 11 \\cdot (3\\frac{5}{11} + 20))",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{12 + (-6 - 11 \\cdot (3\\frac{5}{11} + 20))}{-18}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.78, bodu=188, $$2\frac{2}{10} + 3\frac{3}{6} - (-13 \cdot 11 - (4\frac{2}{7} + 4\frac{3}{10}))=\textcolor{white}{157\frac{2}{7}}$$return {
["body"] = 188,
["id"] = "lAfuUI_0420_0551",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = 157.28571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1101,
["jmenovatel"] = 7 },
["render"] = "\\frac{110100}{700}",
["typ"] = "cislo" },
["tex"] = "157\\frac{2}{7}",
["x"] = 157,
["y"] = 2,
["z"] = 7 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{10} + 3\\frac{3}{6}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{7} + 4\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{7} + 4\\frac{3}{10})",
["typ"] = "zavorka" },
["render"] = "-13 \\cdot 11 - (4\\frac{2}{7} + 4\\frac{3}{10})",
["typ"] = "minus" },
["render"] = "(-13 \\cdot 11 - (4\\frac{2}{7} + 4\\frac{3}{10}))",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{10} + 3\\frac{3}{6} - (-13 \\cdot 11 - (4\\frac{2}{7} + 4\\frac{3}{10}))",
["typ"] = "minus" } }
seed: MRlcTf4uuzn3O04EniJY_0.79, bodu=126, $$4\frac{1}{10} - (12 + \frac{16}{3\frac{1}{3}}) - 5 \cdot -9=\textcolor{white}{32{,}3}$$return {
["body"] = 126,
["id"] = "nZtsTa_0420_0551",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = 32.3,
["objekt"] = {
["hodnota"] = {
["citatel"] = 323,
["jmenovatel"] = 10 },
["render"] = "\\frac{323}{10}",
["typ"] = "cislo" },
["tex"] = "32\\frac{3}{10}",
["tex_float"] = "32{,}3",
["x"] = 32,
["y"] = 3,
["z"] = 10 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 10 },
["render"] = "4\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{16}{3\\frac{1}{3}}",
["typ"] = "lomeno" },
["render"] = "12 + \\frac{16}{3\\frac{1}{3}}",
["typ"] = "plus" },
["render"] = "(12 + \\frac{16}{3\\frac{1}{3}})",
["typ"] = "zavorka" },
["render"] = "4\\frac{1}{10} - (12 + \\frac{16}{3\\frac{1}{3}})",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "5 \\cdot -9",
["typ"] = "krat" },
["render"] = "4\\frac{1}{10} - (12 + \\frac{16}{3\\frac{1}{3}}) - 5 \\cdot -9",
["typ"] = "minus" } }
seed: MRlcTf4uuzn3O04EniJY_0.8, bodu=197, $$\frac{-19}{3\frac{2}{9} + 14} \cdot (-16 \cdot 1\frac{2}{4})^2 - 4\frac{3}{7}=\textcolor{white}{-639\frac{962}{1085}}$$return {
["body"] = 197,
["id"] = "BjCUrL_0420_0551",
["obtiznost"] = 1.6308,
["reseni"] = {
["float"] = -639.8866359447,
["objekt"] = {
["hodnota"] = {
["citatel"] = -694277,
["jmenovatel"] = 1085 },
["render"] = "\\frac{-694277}{1085}",
["typ"] = "cislo" },
["tex"] = "-639\\frac{962}{1085}",
["x"] = -639,
["y"] = 962,
["z"] = 1085 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{9} + 14",
["typ"] = "plus" },
["render"] = "\\frac{-19}{3\\frac{2}{9} + 14}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 1\\frac{2}{4}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(-16 \\cdot 1\\frac{2}{4})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-19}{3\\frac{2}{9} + 14} \\cdot (-16 \\cdot 1\\frac{2}{4})^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-19}{3\\frac{2}{9} + 14} \\cdot (-16 \\cdot 1\\frac{2}{4})^2 - 4\\frac{3}{7}",
["typ"] = "minus" } }
seed: MRlcTf4uuzn3O04EniJY_0.81, bodu=160, $$-14 \cdot 4\frac{4}{10} \cdot 3\frac{4}{8} \cdot (3\frac{4}{6} - (-14) + (-12))=\textcolor{white}{-1221\frac{11}{15}}$$return {
["body"] = 160,
["id"] = "Nu0Z7T_0420_0551",
["obtiznost"] = 1.41,
["reseni"] = {
["float"] = -1221.7333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -18326,
["jmenovatel"] = 15 },
["render"] = "\\frac{-18326}{15}",
["typ"] = "cislo" },
["tex"] = "-1221\\frac{11}{15}",
["x"] = -1221,
["y"] = 11,
["z"] = 15 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 4\\frac{4}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 4\\frac{4}{10} \\cdot 3\\frac{4}{8}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{6} - (-14)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{6} - (-14) + (-12)",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{6} - (-14) + (-12))",
["typ"] = "zavorka" },
["render"] = "-14 \\cdot 4\\frac{4}{10} \\cdot 3\\frac{4}{8} \\cdot (3\\frac{4}{6} - (-14) + (-12))",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.82, bodu=102, $$\frac{16 + 14 - 13}{3\frac{1}{5} \cdot (-16 + (-11) - (-11))}=\textcolor{white}{-\frac{85}{256}}$$return {
["body"] = 102,
["id"] = "h9Ocr4_0420_0551",
["obtiznost"] = 1.02,
["reseni"] = {
["float"] = -0.33203125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -85,
["jmenovatel"] = 256 },
["render"] = "\\frac{85}{-256}",
["typ"] = "cislo" },
["tex"] = "-\\frac{85}{256}",
["y"] = -85,
["z"] = 256 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "16 + 14",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "16 + 14 - 13",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-16 + (-11)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-16 + (-11) - (-11)",
["typ"] = "minus" },
["render"] = "(-16 + (-11) - (-11))",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{5} \\cdot (-16 + (-11) - (-11))",
["typ"] = "krat" },
["render"] = "\\frac{16 + 14 - 13}{3\\frac{1}{5} \\cdot (-16 + (-11) - (-11))}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.83, bodu=197, $$4\frac{5}{13} \cdot 4\frac{1}{4} \cdot (\frac{2\frac{3}{9}}{7} \cdot 18 - 3\frac{5}{11})=\textcolor{white}{47\frac{62}{143}}$$return {
["body"] = 197,
["id"] = "KOEWN1_0420_0551",
["obtiznost"] = 1.63,
["reseni"] = {
["float"] = 47.433566433566,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6783,
["jmenovatel"] = 143 },
["render"] = "\\frac{6783}{143}",
["typ"] = "cislo" },
["tex"] = "47\\frac{62}{143}",
["x"] = 47,
["y"] = 62,
["z"] = 143 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.83",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{9}}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{9}}{7} \\cdot 18",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{9}}{7} \\cdot 18 - 3\\frac{5}{11}",
["typ"] = "minus" },
["render"] = "(\\frac{2\\frac{3}{9}}{7} \\cdot 18 - 3\\frac{5}{11})",
["typ"] = "zavorka" },
["render"] = "4\\frac{1}{4} \\cdot (\\frac{2\\frac{3}{9}}{7} \\cdot 18 - 3\\frac{5}{11})",
["typ"] = "krat" },
["render"] = "4\\frac{5}{13} \\cdot 4\\frac{1}{4} \\cdot (\\frac{2\\frac{3}{9}}{7} \\cdot 18 - 3\\frac{5}{11})",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.84, bodu=199, $$\frac{3\frac{2}{10}}{(1\frac{3}{8} + (1\frac{5}{13} - 13) \cdot -10) \cdot 1\frac{2}{7}}=\textcolor{white}{\frac{11648}{550035}}$$return {
["body"] = 199,
["id"] = "My0oJL_0420_0551",
["obtiznost"] = 1.64,
["reseni"] = {
["float"] = 0.02117683420146,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11648,
["jmenovatel"] = 550035 },
["render"] = "\\frac{11648}{550035}",
["typ"] = "cislo" },
["tex"] = "\\frac{11648}{550035}",
["y"] = 11648,
["z"] = 550035 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.84",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{13} - 13",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{13} - 13)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(1\\frac{5}{13} - 13) \\cdot -10",
["typ"] = "krat" },
["render"] = "1\\frac{3}{8} + (1\\frac{5}{13} - 13) \\cdot -10",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{8} + (1\\frac{5}{13} - 13) \\cdot -10)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "(1\\frac{3}{8} + (1\\frac{5}{13} - 13) \\cdot -10) \\cdot 1\\frac{2}{7}",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{2}{10}}{(1\\frac{3}{8} + (1\\frac{5}{13} - 13) \\cdot -10) \\cdot 1\\frac{2}{7}}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.85, bodu=135, $$(-7 - 11) \cdot -11 \cdot (1\frac{5}{10} - 1\frac{4}{11} \cdot -8)=\textcolor{white}{2457}$$return {
["body"] = 135,
["id"] = "oviULP_0420_0551",
["obtiznost"] = 1.25,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 2457,
["jmenovatel"] = 1 },
["render"] = "\\frac{54054}{22}",
["typ"] = "cislo" },
["tex"] = "2457",
["tex_float"] = "2457",
["x"] = 2457 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-7 - 11",
["typ"] = "minus" },
["render"] = "(-7 - 11)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "(-7 - 11) \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{11} \\cdot -8",
["typ"] = "krat" },
["render"] = "1\\frac{5}{10} - 1\\frac{4}{11} \\cdot -8",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{10} - 1\\frac{4}{11} \\cdot -8)",
["typ"] = "zavorka" },
["render"] = "(-7 - 11) \\cdot -11 \\cdot (1\\frac{5}{10} - 1\\frac{4}{11} \\cdot -8)",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.86, bodu=137, $$-6 - 4\frac{2}{8} \cdot -12 - (14 - 3\frac{1}{8} - 3)=\textcolor{white}{37{,}125}$$return {
["body"] = 137,
["id"] = "hadF4q_0420_0551",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = 37.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 297,
["jmenovatel"] = 8 },
["render"] = "\\frac{297}{8}",
["typ"] = "cislo" },
["tex"] = "37\\frac{1}{8}",
["tex_float"] = "37{,}125",
["x"] = 37,
["y"] = 1,
["z"] = 8 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{8} \\cdot -12",
["typ"] = "krat" },
["render"] = "-6 - 4\\frac{2}{8} \\cdot -12",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "14 - 3\\frac{1}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "14 - 3\\frac{1}{8} - 3",
["typ"] = "minus" },
["render"] = "(14 - 3\\frac{1}{8} - 3)",
["typ"] = "zavorka" },
["render"] = "-6 - 4\\frac{2}{8} \\cdot -12 - (14 - 3\\frac{1}{8} - 3)",
["typ"] = "minus" } }
seed: MRlcTf4uuzn3O04EniJY_0.87, bodu=240, $$-22 \cdot (3\frac{5}{10} - 3\frac{2}{3} - (3\frac{5}{7} - (1\frac{1}{3} + 4\frac{4}{13} + 17)))=\textcolor{white}{-412\frac{197}{273}}$$return {
["body"] = 240,
["id"] = "aV2Wa1_0420_0551",
["obtiznost"] = 1.87,
["reseni"] = {
["float"] = -412.72161172161,
["objekt"] = {
["hodnota"] = {
["citatel"] = -112673,
["jmenovatel"] = 273 },
["render"] = "\\frac{-225346}{546}",
["typ"] = "cislo" },
["tex"] = "-412\\frac{197}{273}",
["x"] = -412,
["y"] = 197,
["z"] = 273 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.87",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} - 3\\frac{2}{3}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 13 },
["render"] = "4\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{3} + 4\\frac{4}{13}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{3} + 4\\frac{4}{13} + 17",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{3} + 4\\frac{4}{13} + 17)",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{7} - (1\\frac{1}{3} + 4\\frac{4}{13} + 17)",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{7} - (1\\frac{1}{3} + 4\\frac{4}{13} + 17))",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{10} - 3\\frac{2}{3} - (3\\frac{5}{7} - (1\\frac{1}{3} + 4\\frac{4}{13} + 17))",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{10} - 3\\frac{2}{3} - (3\\frac{5}{7} - (1\\frac{1}{3} + 4\\frac{4}{13} + 17)))",
["typ"] = "zavorka" },
["render"] = "-22 \\cdot (3\\frac{5}{10} - 3\\frac{2}{3} - (3\\frac{5}{7} - (1\\frac{1}{3} + 4\\frac{4}{13} + 17)))",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.88, bodu=172, $$-7 - 3\frac{1}{11} + 1\frac{3}{9} - 12 - 2\frac{3}{9} \cdot (-12 + (-9))=\textcolor{white}{28\frac{8}{33}}$$return {
["body"] = 172,
["id"] = "PNW0XJ_0420_0551",
["obtiznost"] = 1.48,
["reseni"] = {
["float"] = 28.242424242424,
["objekt"] = {
["hodnota"] = {
["citatel"] = 932,
["jmenovatel"] = 33 },
["render"] = "\\frac{932}{33}",
["typ"] = "cislo" },
["tex"] = "28\\frac{8}{33}",
["x"] = 28,
["y"] = 8,
["z"] = 33 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 34,
["jmenovatel"] = 11 },
["render"] = "3\\frac{1}{11}",
["typ"] = "cislo" },
["render"] = "-7 - 3\\frac{1}{11}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{9} - 12",
["typ"] = "minus" },
["render"] = "-7 - 3\\frac{1}{11} + 1\\frac{3}{9} - 12",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-12 + (-9)",
["typ"] = "plus" },
["render"] = "(-12 + (-9))",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{9} \\cdot (-12 + (-9))",
["typ"] = "krat" },
["render"] = "-7 - 3\\frac{1}{11} + 1\\frac{3}{9} - 12 - 2\\frac{3}{9} \\cdot (-12 + (-9))",
["typ"] = "minus" } }
seed: MRlcTf4uuzn3O04EniJY_0.89, bodu=173, $$18 - (-7 \cdot \frac{3\frac{2}{5}}{23} - (3\frac{1}{2} + 2\frac{4}{6}))=\textcolor{white}{25\frac{139}{690}}$$return {
["body"] = 173,
["id"] = "3SGaI8_0420_0551",
["obtiznost"] = 1.49,
["reseni"] = {
["float"] = 25.201449275362,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17389,
["jmenovatel"] = 690 },
["render"] = "\\frac{17389}{690}",
["typ"] = "cislo" },
["tex"] = "25\\frac{139}{690}",
["x"] = 25,
["y"] = 139,
["z"] = 690 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.89",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{5}}{23}",
["typ"] = "lomeno" },
["render"] = "-7 \\cdot \\frac{3\\frac{2}{5}}{23}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{2} + 2\\frac{4}{6}",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{2} + 2\\frac{4}{6})",
["typ"] = "zavorka" },
["render"] = "-7 \\cdot \\frac{3\\frac{2}{5}}{23} - (3\\frac{1}{2} + 2\\frac{4}{6})",
["typ"] = "minus" },
["render"] = "(-7 \\cdot \\frac{3\\frac{2}{5}}{23} - (3\\frac{1}{2} + 2\\frac{4}{6}))",
["typ"] = "zavorka" },
["render"] = "18 - (-7 \\cdot \\frac{3\\frac{2}{5}}{23} - (3\\frac{1}{2} + 2\\frac{4}{6}))",
["typ"] = "minus" } }
seed: MRlcTf4uuzn3O04EniJY_0.9, bodu=209, $$\frac{21}{2\frac{1}{5}} \cdot \frac{3\frac{4}{5}}{18 + 2\frac{1}{4} + 4\frac{1}{7} + 11}=\textcolor{white}{1\frac{271}{10901}}$$return {
["body"] = 209,
["id"] = "ofzDiG_0420_0551",
["obtiznost"] = 1.7,
["reseni"] = {
["float"] = 1.0248601045776,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11172,
["jmenovatel"] = 10901 },
["render"] = "\\frac{55860}{54505}",
["typ"] = "cislo" },
["tex"] = "1\\frac{271}{10901}",
["x"] = 1,
["y"] = 271,
["z"] = 10901 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{21}{2\\frac{1}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{4} + 4\\frac{1}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{4} + 4\\frac{1}{7} + 11",
["typ"] = "plus" },
["render"] = "18 + 2\\frac{1}{4} + 4\\frac{1}{7} + 11",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{4}{5}}{18 + 2\\frac{1}{4} + 4\\frac{1}{7} + 11}",
["typ"] = "lomeno" },
["render"] = "\\frac{21}{2\\frac{1}{5}} \\cdot \\frac{3\\frac{4}{5}}{18 + 2\\frac{1}{4} + 4\\frac{1}{7} + 11}",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.91, bodu=211, $$\frac{3\frac{1}{11}}{3\frac{3}{10}} + (-18) - (-13) - (2\frac{1}{9} - (7 + 1\frac{2}{10}))=\textcolor{white}{2\frac{139}{5445}}$$return {
["body"] = 211,
["id"] = "eSCnTt_0420_0551",
["obtiznost"] = 1.71,
["reseni"] = {
["float"] = 2.0255280073462,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11029,
["jmenovatel"] = 5445 },
["render"] = "\\frac{33087}{16335}",
["typ"] = "cislo" },
["tex"] = "2\\frac{139}{5445}",
["x"] = 2,
["y"] = 139,
["z"] = 5445 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 34,
["jmenovatel"] = 11 },
["render"] = "3\\frac{1}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{11}}{3\\frac{3}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{11}}{3\\frac{3}{10}} + (-18)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{11}}{3\\frac{3}{10}} + (-18) - (-13)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "7 + 1\\frac{2}{10}",
["typ"] = "plus" },
["render"] = "(7 + 1\\frac{2}{10})",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{9} - (7 + 1\\frac{2}{10})",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{9} - (7 + 1\\frac{2}{10}))",
["typ"] = "zavorka" },
["render"] = "\\frac{3\\frac{1}{11}}{3\\frac{3}{10}} + (-18) - (-13) - (2\\frac{1}{9} - (7 + 1\\frac{2}{10}))",
["typ"] = "minus" } }
seed: MRlcTf4uuzn3O04EniJY_0.92, bodu=146, $$\frac{19 - 1\frac{4}{8} \cdot (2\frac{5}{6} + 6)}{-14 \cdot 13}=\textcolor{white}{-\frac{23}{728}}$$return {
["body"] = 146,
["id"] = "LXQHX7_0420_0551",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = -0.031593406593407,
["objekt"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 728 },
["render"] = "\\frac{23}{-728}",
["typ"] = "cislo" },
["tex"] = "-\\frac{23}{728}",
["y"] = -23,
["z"] = 728 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 6 },
["render"] = "2\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{6} + 6",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{6} + 6)",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{8} \\cdot (2\\frac{5}{6} + 6)",
["typ"] = "krat" },
["render"] = "19 - 1\\frac{4}{8} \\cdot (2\\frac{5}{6} + 6)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 13",
["typ"] = "krat" },
["render"] = "\\frac{19 - 1\\frac{4}{8} \\cdot (2\\frac{5}{6} + 6)}{-14 \\cdot 13}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.93, bodu=180, $$5 \cdot -15 \cdot (2\frac{5}{11} + 3\frac{1}{3}) \cdot \frac{3\frac{4}{10}}{14}=\textcolor{white}{-105\frac{65}{154}}$$return {
["body"] = 180,
["id"] = "5jWXX5_0420_0551",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = -105.42207792208,
["objekt"] = {
["hodnota"] = {
["citatel"] = -16235,
["jmenovatel"] = 154 },
["render"] = "\\frac{-81175}{770}",
["typ"] = "cislo" },
["tex"] = "-105\\frac{65}{154}",
["x"] = -105,
["y"] = 65,
["z"] = 154 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "5 \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} + 3\\frac{1}{3}",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{11} + 3\\frac{1}{3})",
["typ"] = "zavorka" },
["render"] = "5 \\cdot -15 \\cdot (2\\frac{5}{11} + 3\\frac{1}{3})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{10}}{14}",
["typ"] = "lomeno" },
["render"] = "5 \\cdot -15 \\cdot (2\\frac{5}{11} + 3\\frac{1}{3}) \\cdot \\frac{3\\frac{4}{10}}{14}",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.94, bodu=149, $$\frac{-18 - 15 \cdot -9}{-13 - 1\frac{3}{7} \cdot 2\frac{2}{8}}=\textcolor{white}{-7\frac{49}{227}}$$return {
["body"] = 149,
["id"] = "ruiG5z_0420_0551",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = -7.215859030837,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1638,
["jmenovatel"] = 227 },
["render"] = "\\frac{1638}{-227}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{49}{227}",
["x"] = -7,
["y"] = 49,
["z"] = 227 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "15 \\cdot -9",
["typ"] = "krat" },
["render"] = "-18 - 15 \\cdot -9",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} \\cdot 2\\frac{2}{8}",
["typ"] = "krat" },
["render"] = "-13 - 1\\frac{3}{7} \\cdot 2\\frac{2}{8}",
["typ"] = "minus" },
["render"] = "\\frac{-18 - 15 \\cdot -9}{-13 - 1\\frac{3}{7} \\cdot 2\\frac{2}{8}}",
["typ"] = "lomeno" } }
seed: MRlcTf4uuzn3O04EniJY_0.95, bodu=218, $$(4\frac{1}{5} - 17 - (3\frac{3}{8} + 2\frac{3}{5})) \cdot \frac{4\frac{5}{10}}{8}=\textcolor{white}{-10\frac{359}{640}}$$return {
["body"] = 218,
["id"] = "Uqb7Yk_0420_0551",
["obtiznost"] = 1.75,
["reseni"] = {
["float"] = -10.5609375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6759,
["jmenovatel"] = 640 },
["render"] = "\\frac{-6759}{640}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{359}{640}",
["x"] = -10,
["y"] = 359,
["z"] = 640 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.95",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} - 17",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{8} + 2\\frac{3}{5}",
["typ"] = "plus" },
["render"] = "(3\\frac{3}{8} + 2\\frac{3}{5})",
["typ"] = "zavorka" },
["render"] = "4\\frac{1}{5} - 17 - (3\\frac{3}{8} + 2\\frac{3}{5})",
["typ"] = "minus" },
["render"] = "(4\\frac{1}{5} - 17 - (3\\frac{3}{8} + 2\\frac{3}{5}))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{10}}{8}",
["typ"] = "lomeno" },
["render"] = "(4\\frac{1}{5} - 17 - (3\\frac{3}{8} + 2\\frac{3}{5})) \\cdot \\frac{4\\frac{5}{10}}{8}",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.96, bodu=254, $$16 + 1\frac{2}{6} - \frac{(21 + 10)^2}{2\frac{4}{12} + (-13)} - 1\frac{5}{13}=\textcolor{white}{106\frac{53}{1248}}$$return {
["body"] = 254,
["id"] = "QvIFnq_0420_0551",
["obtiznost"] = 1.9448,
["reseni"] = {
["float"] = 106.04246794872,
["objekt"] = {
["hodnota"] = {
["citatel"] = 132341,
["jmenovatel"] = 1248 },
["render"] = "\\frac{132341}{1248}",
["typ"] = "cislo" },
["tex"] = "106\\frac{53}{1248}",
["x"] = 106,
["y"] = 53,
["z"] = 1248 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "16 + 1\\frac{2}{6}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "21 + 10",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(21 + 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{12} + (-13)",
["typ"] = "plus" },
["render"] = "\\frac{(21 + 10)^2}{2\\frac{4}{12} + (-13)}",
["typ"] = "lomeno" },
["render"] = "16 + 1\\frac{2}{6} - \\frac{(21 + 10)^2}{2\\frac{4}{12} + (-13)}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "16 + 1\\frac{2}{6} - \\frac{(21 + 10)^2}{2\\frac{4}{12} + (-13)} - 1\\frac{5}{13}",
["typ"] = "minus" } }
seed: MRlcTf4uuzn3O04EniJY_0.97, bodu=154, $$\frac{1\frac{5}{12} + (-15 \cdot -6)}{3} \cdot (-8 + 6 - 3\frac{3}{7})=\textcolor{white}{-165\frac{53}{126}}$$return {
["body"] = 154,
["id"] = "se7yHC_0420_0551",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = -165.42063492063,
["objekt"] = {
["hodnota"] = {
["citatel"] = -20843,
["jmenovatel"] = 126 },
["render"] = "\\frac{-41686}{252}",
["typ"] = "cislo" },
["tex"] = "-165\\frac{53}{126}",
["x"] = -165,
["y"] = 53,
["z"] = 126 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-15 \\cdot -6",
["typ"] = "krat" },
["render"] = "1\\frac{5}{12} + (-15 \\cdot -6)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{12} + (-15 \\cdot -6)}{3}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "6 - 3\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "-8 + 6 - 3\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "(-8 + 6 - 3\\frac{3}{7})",
["typ"] = "zavorka" },
["render"] = "\\frac{1\\frac{5}{12} + (-15 \\cdot -6)}{3} \\cdot (-8 + 6 - 3\\frac{3}{7})",
["typ"] = "krat" } }
seed: MRlcTf4uuzn3O04EniJY_0.98, bodu=223, $$10 - (-8 + 1\frac{3}{8}) + 3\frac{4}{13} - (3\frac{4}{9} - 12 - 3\frac{4}{10})=\textcolor{white}{31\frac{4157}{4680}}$$return {
["body"] = 223,
["id"] = "I1lc9E_0420_0551",
["obtiznost"] = 1.78,
["reseni"] = {
["float"] = 31.888247863248,
["objekt"] = {
["hodnota"] = {
["citatel"] = 149237,
["jmenovatel"] = 4680 },
["render"] = "\\frac{149237}{4680}",
["typ"] = "cislo" },
["tex"] = "31\\frac{4157}{4680}",
["x"] = 31,
["y"] = 4157,
["z"] = 4680 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-8 + 1\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(-8 + 1\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "10 - (-8 + 1\\frac{3}{8})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 13 },
["render"] = "3\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "10 - (-8 + 1\\frac{3}{8}) + 3\\frac{4}{13}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{9} - 12",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{9} - 12 - 3\\frac{4}{10}",
["typ"] = "minus" },
["render"] = "(3\\frac{4}{9} - 12 - 3\\frac{4}{10})",
["typ"] = "zavorka" },
["render"] = "10 - (-8 + 1\\frac{3}{8}) + 3\\frac{4}{13} - (3\\frac{4}{9} - 12 - 3\\frac{4}{10})",
["typ"] = "minus" } }
seed: MRlcTf4uuzn3O04EniJY_0.99, bodu=225, $$-10 \cdot 1\frac{1}{5} \cdot (14 + 1\frac{1}{7}) - \frac{1\frac{5}{15}}{4\frac{3}{12}}=\textcolor{white}{-182\frac{10}{357}}$$return {
["body"] = 225,
["id"] = "NNkiyS_0420_0551",
["obtiznost"] = 1.79,
["reseni"] = {
["float"] = -182.02801120448,
["objekt"] = {
["hodnota"] = {
["citatel"] = -64984,
["jmenovatel"] = 357 },
["render"] = "\\frac{-64984}{357}",
["typ"] = "cislo" },
["tex"] = "-182\\frac{10}{357}",
["x"] = -182,
["y"] = 10,
["z"] = 357 },
["seed"] = "MRlcTf4uuzn3O04EniJY_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "14 + 1\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "(14 + 1\\frac{1}{7})",
["typ"] = "zavorka" },
["render"] = "-10 \\cdot 1\\frac{1}{5} \\cdot (14 + 1\\frac{1}{7})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{5}{15}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{15}}{4\\frac{3}{12}}",
["typ"] = "lomeno" },
["render"] = "-10 \\cdot 1\\frac{1}{5} \\cdot (14 + 1\\frac{1}{7}) - \\frac{1\\frac{5}{15}}{4\\frac{3}{12}}",
["typ"] = "minus" } }
13-ecstatic-dog-gifs_a-cupcake.webp:
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1aj.gif: 
200w.gif: 
2l8dhkg.gif: 
5ba.gif: 
AS001921_15.gif: 
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GIF-Dancing-celebrate-celebration-dance-Ecstatic-happy-happy-dance-joy-success-woo-hoo-GIF.gif: 
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: 
aph1.gif: 
apollon_by_kokorokeke-dbykcqz.gif: 
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b8bf8658dd216b2ec14a1b9a27123f20.gif: 
boosdfgsmlebron.gif: 
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dddaftenor.gif: 
dribble_good_arabic.gif: 
ecstatic-gif-4.gif: 
ecstatic-gif-8.gif: 
ecstatic.gif: 
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giphyasdfafsd-325.gif: 
gsfdgiphy.gif: 
gsgsdghfgsdfhkiphy.gif: 
happy_animation_by_strawberrycrescent-d9qi27u.gif: 
happy_bearded_mustached_jack_running_and_jumping_game_character.gif: 
harrypotter-snape-clapping.gif: 
hsk.gif: 
idafstyiuyosdf.gif: 
imageproxy.gif.5b7d7be152c7d2ff29acdc13dabb2ebd.gif: 
jocelyn_ecstatic__animated__by_tsnow-d7kwtd6.gif: 
joyyy.gif: 
nahodny_obrazek1.gif: 
nahodny_obrazek2.gif: 
poehler.gif: 
popas.gif: 
source.gif: 
tedfghdfghnor.gif: 
tefwretjhwnor.gif: 
tenfgfgdor.gif: 
tenfghfghdhor.gif: 
tenodfghdfghhhr.gif: 
tenohhsfffr.gif: 
tettt.gif: 
thumbs-up-matt-leblanc.gif: 
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untitled-1.gif: 
vUn8eIh.gif: 
well-done-jennifer-anniston-clap-applause-2.gif: 