- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: JPeEx7bbtYkCtEge0VWx_0, bodu=5, $$-6 - ((8 - 6)^3 + 6)=\textcolor{white}{-20}$$return {
["body"] = 5,
["id"] = "X9zR7c_1207_1516",
["obtiznost"] = 0.0036,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "\\frac{-20}{1}",
["typ"] = "cislo" },
["tex"] = "-20",
["tex_float"] = "-20",
["x"] = -20 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 - 6",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(8 - 6)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(8 - 6)^3 + 6",
["typ"] = "plus" },
["render"] = "((8 - 6)^3 + 6)",
["typ"] = "zavorka" },
["render"] = "-6 - ((8 - 6)^3 + 6)",
["typ"] = "minus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.01, bodu=10, $$\frac{3}{(9 - 7) \cdot 6}=\textcolor{white}{0{,}25}$$return {
["body"] = 10,
["id"] = "cblCoM_1207_1516",
["obtiznost"] = 0.01,
["reseni"] = {
["float"] = 0.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 4 },
["render"] = "\\frac{3}{12}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{4}",
["tex_float"] = "0{,}25",
["y"] = 1,
["z"] = 4 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.01",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 - 7",
["typ"] = "minus" },
["render"] = "(9 - 7)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(9 - 7) \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{3}{(9 - 7) \\cdot 6}",
["typ"] = "lomeno" } }
seed: JPeEx7bbtYkCtEge0VWx_0.02, bodu=10, $$\frac{8}{6 + \frac{5}{10}}=\textcolor{white}{1\frac{3}{13}}$$return {
["body"] = 10,
["id"] = "knwlaR_1207_1516",
["obtiznost"] = 0.02,
["reseni"] = {
["float"] = 1.2307692307692,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 13 },
["render"] = "\\frac{16}{13}",
["typ"] = "cislo" },
["tex"] = "1\\frac{3}{13}",
["x"] = 1,
["y"] = 3,
["z"] = 13 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.02",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{5}{10}",
["typ"] = "lomeno" },
["render"] = "6 + \\frac{5}{10}",
["typ"] = "plus" },
["render"] = "\\frac{8}{6 + \\frac{5}{10}}",
["typ"] = "lomeno" } }
seed: JPeEx7bbtYkCtEge0VWx_0.03, bodu=10, $$(\frac{5 - 7}{(\frac{6}{3})^2})^4=\textcolor{white}{\frac{1}{16}}$$return {
["body"] = 10,
["id"] = "STW4QE_1207_1516",
["obtiznost"] = 0.0388,
["reseni"] = {
["float"] = 0.0625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 16 },
["render"] = "\\frac{1}{16}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{16}",
["y"] = 1,
["z"] = 16 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.03",
["zadani"] = {
["c"] = {
["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"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{6}{3}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{6}{3})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{5 - 7}{(\\frac{6}{3})^2}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{5 - 7}{(\\frac{6}{3})^2})^4",
["typ"] = "mocnina" } }
seed: JPeEx7bbtYkCtEge0VWx_0.04, bodu=10, $$\frac{-10}{9 \cdot -5}=\textcolor{white}{\frac{2}{9}}$$return {
["body"] = 10,
["id"] = "OhJx7g_1207_1516",
["obtiznost"] = 0.04,
["reseni"] = {
["float"] = 0.22222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 9 },
["render"] = "\\frac{-10}{-45}",
["typ"] = "cislo" },
["tex"] = "\\frac{2}{9}",
["y"] = 2,
["z"] = 9 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "9 \\cdot -5",
["typ"] = "krat" },
["render"] = "\\frac{-10}{9 \\cdot -5}",
["typ"] = "lomeno" } }
seed: JPeEx7bbtYkCtEge0VWx_0.05, bodu=11, $$\frac{-9}{11} \cdot 6=\textcolor{white}{-4\frac{10}{11}}$$return {
["body"] = 11,
["id"] = "5lLJW1_1207_1516",
["obtiznost"] = 0.05,
["reseni"] = {
["float"] = -4.9090909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = -54,
["jmenovatel"] = 11 },
["render"] = "\\frac{-54}{11}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{10}{11}",
["x"] = -4,
["y"] = 10,
["z"] = 11 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{11} \\cdot 6",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.06, bodu=21, $$\frac{8}{-5} - 3\frac{2}{4} - 10=\textcolor{white}{-15{,}1}$$return {
["body"] = 21,
["id"] = "bCEfw6_1207_1516",
["obtiznost"] = 0.26,
["reseni"] = {
["float"] = -15.1,
["objekt"] = {
["hodnota"] = {
["citatel"] = -151,
["jmenovatel"] = 10 },
["render"] = "\\frac{-151}{10}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{1}{10}",
["tex_float"] = "-15{,}1",
["x"] = -15,
["y"] = 1,
["z"] = 10 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-5} - 3\\frac{2}{4}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-5} - 3\\frac{2}{4} - 10",
["typ"] = "minus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.07, bodu=5, $$10 + 5 \cdot -5 + 7=\textcolor{white}{-8}$$return {
["body"] = 5,
["id"] = "wyISRh_1207_1516",
["obtiznost"] = 0.07,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "\\frac{-8}{1}",
["typ"] = "cislo" },
["tex"] = "-8",
["x"] = -8 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "5 \\cdot -5",
["typ"] = "krat" },
["render"] = "10 + 5 \\cdot -5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 + 5 \\cdot -5 + 7",
["typ"] = "plus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.08, bodu=12, $$\frac{10}{4} - (-5) - 7=\textcolor{white}{0{,}5}$$return {
["body"] = 12,
["id"] = "eM15AF_1207_1516",
["obtiznost"] = 0.08,
["reseni"] = {
["float"] = 0.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 2 },
["render"] = "\\frac{1}{2}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{2}",
["tex_float"] = "0{,}5",
["y"] = 1,
["z"] = 2 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{10}{4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{10}{4} - (-5)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{10}{4} - (-5) - 7",
["typ"] = "minus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.09, bodu=14, $$(\frac{6}{6 \cdot 10})^2=\textcolor{white}{0{,}01}$$return {
["body"] = 14,
["id"] = "qJ1cqm_1207_1516",
["obtiznost"] = 0.1304,
["reseni"] = {
["float"] = 0.01,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 100 },
["render"] = "\\frac{1}{100}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{100}",
["tex_float"] = "0{,}01",
["y"] = 1,
["z"] = 100 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.09",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["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"] = "\\frac{6}{6 \\cdot 10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{6}{6 \\cdot 10})^2",
["typ"] = "mocnina" } }
seed: JPeEx7bbtYkCtEge0VWx_0.1, bodu=12, $$\frac{10}{6 \cdot 7}=\textcolor{white}{\frac{5}{21}}$$return {
["body"] = 12,
["id"] = "d1B6Zn_1207_1516",
["obtiznost"] = 0.1,
["reseni"] = {
["float"] = 0.23809523809524,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 21 },
["render"] = "\\frac{10}{42}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{21}",
["y"] = 5,
["z"] = 21 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.1",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 \\cdot 7",
["typ"] = "krat" },
["render"] = "\\frac{10}{6 \\cdot 7}",
["typ"] = "lomeno" } }
seed: JPeEx7bbtYkCtEge0VWx_0.11, bodu=6, $$8 \cdot -4 \cdot -6=\textcolor{white}{192}$$return {
["body"] = 6,
["id"] = "OdvCHu_1207_1516",
["obtiznost"] = 0.11,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 192,
["jmenovatel"] = 1 },
["render"] = "\\frac{192}{1}",
["typ"] = "cislo" },
["tex"] = "192",
["x"] = 192 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.11",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "8 \\cdot -4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "8 \\cdot -4 \\cdot -6",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.12, bodu=13, $$8 + 8 - \frac{10}{-11}=\textcolor{white}{16\frac{10}{11}}$$return {
["body"] = 13,
["id"] = "gsSqrX_1207_1516",
["obtiznost"] = 0.12,
["reseni"] = {
["float"] = 16.909090909091,
["objekt"] = {
["hodnota"] = {
["citatel"] = 186,
["jmenovatel"] = 11 },
["render"] = "\\frac{186}{11}",
["typ"] = "cislo" },
["tex"] = "16\\frac{10}{11}",
["x"] = 16,
["y"] = 10,
["z"] = 11 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.12",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-11}",
["typ"] = "lomeno" },
["render"] = "8 - \\frac{10}{-11}",
["typ"] = "minus" },
["render"] = "8 + 8 - \\frac{10}{-11}",
["typ"] = "plus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.13, bodu=14, $$\frac{4 \cdot 10 - 6}{-7}=\textcolor{white}{-4\frac{6}{7}}$$return {
["body"] = 14,
["id"] = "KG3Geo_1207_1516",
["obtiznost"] = 0.13,
["reseni"] = {
["float"] = -4.8571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -34,
["jmenovatel"] = 7 },
["render"] = "\\frac{34}{-7}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{6}{7}",
["x"] = -4,
["y"] = 6,
["z"] = 7 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "4 \\cdot 10 - 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{4 \\cdot 10 - 6}{-7}",
["typ"] = "lomeno" } }
seed: JPeEx7bbtYkCtEge0VWx_0.14, bodu=27, $$\frac{11}{(2\frac{4}{7} - 8) \cdot 9}=\textcolor{white}{-\frac{77}{342}}$$return {
["body"] = 27,
["id"] = "5ryL63_1207_1516",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = -0.22514619883041,
["objekt"] = {
["hodnota"] = {
["citatel"] = -77,
["jmenovatel"] = 342 },
["render"] = "\\frac{77}{-342}",
["typ"] = "cislo" },
["tex"] = "-\\frac{77}{342}",
["y"] = -77,
["z"] = 342 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.14",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{7} - 8",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{7} - 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(2\\frac{4}{7} - 8) \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{11}{(2\\frac{4}{7} - 8) \\cdot 9}",
["typ"] = "lomeno" } }
seed: JPeEx7bbtYkCtEge0VWx_0.15, bodu=15, $$\frac{(12 - 8) \cdot 10}{8}=\textcolor{white}{5}$$return {
["body"] = 15,
["id"] = "bzrNfv_1207_1516",
["obtiznost"] = 0.15,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "\\frac{40}{8}",
["typ"] = "cislo" },
["tex"] = "5",
["tex_float"] = "5",
["x"] = 5 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "12 - 8",
["typ"] = "minus" },
["render"] = "(12 - 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(12 - 8) \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{(12 - 8) \\cdot 10}{8}",
["typ"] = "lomeno" } }
seed: JPeEx7bbtYkCtEge0VWx_0.16, bodu=15, $$\frac{5 + 11}{-7 + (-3)}=\textcolor{white}{-1{,}6}$$return {
["body"] = 15,
["id"] = "cU8FJf_1207_1516",
["obtiznost"] = 0.16,
["reseni"] = {
["float"] = -1.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 5 },
["render"] = "\\frac{16}{-10}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{3}{5}",
["tex_float"] = "-1{,}6",
["x"] = -1,
["y"] = 3,
["z"] = 5 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "5 + 11",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "-7 + (-3)",
["typ"] = "plus" },
["render"] = "\\frac{5 + 11}{-7 + (-3)}",
["typ"] = "lomeno" } }
seed: JPeEx7bbtYkCtEge0VWx_0.17, bodu=8, $$10 \cdot 10 \cdot (11 + 7)=\textcolor{white}{1800}$$return {
["body"] = 8,
["id"] = "z4Zt8E_1207_1516",
["obtiznost"] = 0.17,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1800,
["jmenovatel"] = 1 },
["render"] = "\\frac{1800}{1}",
["typ"] = "cislo" },
["tex"] = "1800",
["x"] = 1800 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.17",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "11 + 7",
["typ"] = "plus" },
["render"] = "(11 + 7)",
["typ"] = "zavorka" },
["render"] = "10 \\cdot 10 \\cdot (11 + 7)",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.18, bodu=8, $$-7 \cdot (7 + 7 + 7 + (-9))=\textcolor{white}{-84}$$return {
["body"] = 8,
["id"] = "1ryRRh_1207_1516",
["obtiznost"] = 0.18,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -84,
["jmenovatel"] = 1 },
["render"] = "\\frac{-84}{1}",
["typ"] = "cislo" },
["tex"] = "-84",
["tex_float"] = "-84",
["x"] = -84 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 + 7 + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "7 + 7 + 7 + (-9)",
["typ"] = "plus" },
["render"] = "(7 + 7 + 7 + (-9))",
["typ"] = "zavorka" },
["render"] = "-7 \\cdot (7 + 7 + 7 + (-9))",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.19, bodu=31, $$10 - (3\frac{4}{6} + 9 + 9 - (-6))=\textcolor{white}{-17\frac{2}{3}}$$return {
["body"] = 31,
["id"] = "hFpgqp_1207_1516",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = -17.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -53,
["jmenovatel"] = 3 },
["render"] = "\\frac{-53}{3}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{2}{3}",
["x"] = -17,
["y"] = 2,
["z"] = 3 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{6} + 9",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "9 - (-6)",
["typ"] = "minus" },
["render"] = "3\\frac{4}{6} + 9 + 9 - (-6)",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{6} + 9 + 9 - (-6))",
["typ"] = "zavorka" },
["render"] = "10 - (3\\frac{4}{6} + 9 + 9 - (-6))",
["typ"] = "minus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.2, bodu=23, $$(\frac{\frac{8}{\frac{6}{9}}}{7})^2=\textcolor{white}{2\frac{46}{49}}$$return {
["body"] = 23,
["id"] = "rwGZ8f_1207_1516",
["obtiznost"] = 0.2772,
["reseni"] = {
["float"] = 2.9387755102041,
["objekt"] = {
["hodnota"] = {
["citatel"] = 144,
["jmenovatel"] = 49 },
["render"] = "\\frac{144}{49}",
["typ"] = "cislo" },
["tex"] = "2\\frac{46}{49}",
["x"] = 2,
["y"] = 46,
["z"] = 49 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.2",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{6}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{8}{\\frac{6}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{8}{\\frac{6}{9}}}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{\\frac{8}{\\frac{6}{9}}}{7})^2",
["typ"] = "mocnina" } }
seed: JPeEx7bbtYkCtEge0VWx_0.21, bodu=18, $$\frac{10 - 9 \cdot -7}{9}=\textcolor{white}{8\frac{1}{9}}$$return {
["body"] = 18,
["id"] = "1NoKqo_1207_1516",
["obtiznost"] = 0.21,
["reseni"] = {
["float"] = 8.1111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 73,
["jmenovatel"] = 9 },
["render"] = "\\frac{73}{9}",
["typ"] = "cislo" },
["tex"] = "8\\frac{1}{9}",
["x"] = 8,
["y"] = 1,
["z"] = 9 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["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 \\cdot -7",
["typ"] = "krat" },
["render"] = "10 - 9 \\cdot -7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{10 - 9 \\cdot -7}{9}",
["typ"] = "lomeno" } }
seed: JPeEx7bbtYkCtEge0VWx_0.22, bodu=34, $$4\frac{2}{4} \cdot -9 \cdot (8 + 9)=\textcolor{white}{-688{,}5}$$return {
["body"] = 34,
["id"] = "eAISK3_1207_1516",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = -688.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1377,
["jmenovatel"] = 2 },
["render"] = "\\frac{-1377}{2}",
["typ"] = "cislo" },
["tex"] = "-688\\frac{1}{2}",
["tex_float"] = "-688{,}5",
["x"] = -688,
["y"] = 1,
["z"] = 2 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.22",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 + 9",
["typ"] = "plus" },
["render"] = "(8 + 9)",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (8 + 9)",
["typ"] = "krat" },
["render"] = "4\\frac{2}{4} \\cdot -9 \\cdot (8 + 9)",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.23, bodu=35, $$5 - 11 - (-7 + 3\frac{4}{9}) \cdot -12=\textcolor{white}{-48\frac{2}{3}}$$return {
["body"] = 35,
["id"] = "ecpNOd_1207_1516",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = -48.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -146,
["jmenovatel"] = 3 },
["render"] = "\\frac{-146}{3}",
["typ"] = "cislo" },
["tex"] = "-48\\frac{2}{3}",
["x"] = -48,
["y"] = 2,
["z"] = 3 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "5 - 11",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-7 + 3\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "(-7 + 3\\frac{4}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(-7 + 3\\frac{4}{9}) \\cdot -12",
["typ"] = "krat" },
["render"] = "5 - 11 - (-7 + 3\\frac{4}{9}) \\cdot -12",
["typ"] = "minus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.24, bodu=55, $$(6 \cdot -5)^2 \cdot (\frac{5}{-8})^2=\textcolor{white}{351\frac{9}{16}}$$return {
["body"] = 55,
["id"] = "bclOvk_1207_1516",
["obtiznost"] = 0.636,
["reseni"] = {
["float"] = 351.5625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5625,
["jmenovatel"] = 16 },
["render"] = "\\frac{22500}{64}",
["typ"] = "cislo" },
["tex"] = "351\\frac{9}{16}",
["x"] = 351,
["y"] = 9,
["z"] = 16 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.24",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{5}{-8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{5}{-8})^2",
["typ"] = "mocnina" },
["render"] = "(6 \\cdot -5)^2 \\cdot (\\frac{5}{-8})^2",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.25, bodu=23, $$-11 \cdot 7 \cdot (\frac{-4}{6})^4=\textcolor{white}{-15\frac{17}{81}}$$return {
["body"] = 23,
["id"] = "tTyvlN_1207_1516",
["obtiznost"] = 0.2888,
["reseni"] = {
["float"] = -15.20987654321,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1232,
["jmenovatel"] = 81 },
["render"] = "\\frac{-1232}{81}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{17}{81}",
["x"] = -15,
["y"] = 17,
["z"] = 81 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-4}{6})^4",
["typ"] = "mocnina" },
["render"] = "-11 \\cdot 7 \\cdot (\\frac{-4}{6})^4",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.26, bodu=38, $$\frac{13}{6} - (2\frac{2}{7} - 11)=\textcolor{white}{10\frac{37}{42}}$$return {
["body"] = 38,
["id"] = "ONvCoc_1207_1516",
["obtiznost"] = 0.46,
["reseni"] = {
["float"] = 10.880952380952,
["objekt"] = {
["hodnota"] = {
["citatel"] = 457,
["jmenovatel"] = 42 },
["render"] = "\\frac{457}{42}",
["typ"] = "cislo" },
["tex"] = "10\\frac{37}{42}",
["x"] = 10,
["y"] = 37,
["z"] = 42 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{13}{6}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{7} - 11",
["typ"] = "minus" },
["render"] = "(2\\frac{2}{7} - 11)",
["typ"] = "zavorka" },
["render"] = "\\frac{13}{6} - (2\\frac{2}{7} - 11)",
["typ"] = "minus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.27, bodu=38, $$\frac{2\frac{5}{8} \cdot -6}{\frac{5}{-11}}=\textcolor{white}{34{,}65}$$return {
["body"] = 38,
["id"] = "EWg02Y_1207_1516",
["obtiznost"] = 0.47,
["reseni"] = {
["float"] = 34.65,
["objekt"] = {
["hodnota"] = {
["citatel"] = 693,
["jmenovatel"] = 20 },
["render"] = "\\frac{-693}{-20}",
["typ"] = "cislo" },
["tex"] = "34\\frac{13}{20}",
["tex_float"] = "34{,}65",
["x"] = 34,
["y"] = 13,
["z"] = 20 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{8} \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{5}{-11}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{5}{8} \\cdot -6}{\\frac{5}{-11}}",
["typ"] = "lomeno" } }
seed: JPeEx7bbtYkCtEge0VWx_0.28, bodu=26, $$\frac{\frac{-10}{11}}{(\frac{4}{9})^2}=\textcolor{white}{-4\frac{53}{88}}$$return {
["body"] = 26,
["id"] = "5tyzhi_1207_1516",
["obtiznost"] = 0.3188,
["reseni"] = {
["float"] = -4.6022727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = -405,
["jmenovatel"] = 88 },
["render"] = "\\frac{-810}{176}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{53}{88}",
["x"] = -4,
["y"] = 53,
["z"] = 88 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{11}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{4}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{4}{9})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{-10}{11}}{(\\frac{4}{9})^2}",
["typ"] = "lomeno" } }
seed: JPeEx7bbtYkCtEge0VWx_0.29, bodu=30, $$12 \cdot 8 + (\frac{9}{-11})^2=\textcolor{white}{96\frac{81}{121}}$$return {
["body"] = 30,
["id"] = "eUAVhs_1207_1516",
["obtiznost"] = 0.3708,
["reseni"] = {
["float"] = 96.669421487603,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11697,
["jmenovatel"] = 121 },
["render"] = "\\frac{11697}{121}",
["typ"] = "cislo" },
["tex"] = "96\\frac{81}{121}",
["x"] = 96,
["y"] = 81,
["z"] = 121 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "12 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{9}{-11})^2",
["typ"] = "mocnina" },
["render"] = "12 \\cdot 8 + (\\frac{9}{-11})^2",
["typ"] = "plus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.3, bodu=62, $$1\frac{1}{4} \cdot (\frac{6}{3\frac{2}{3}} + 14)=\textcolor{white}{19\frac{6}{11}}$$return {
["body"] = 62,
["id"] = "6cgK37_1207_1516",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = 19.545454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = 215,
["jmenovatel"] = 11 },
["render"] = "\\frac{860}{44}",
["typ"] = "cislo" },
["tex"] = "19\\frac{6}{11}",
["x"] = 19,
["y"] = 6,
["z"] = 11 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.3",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{3\\frac{2}{3}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{6}{3\\frac{2}{3}} + 14",
["typ"] = "plus" },
["render"] = "(\\frac{6}{3\\frac{2}{3}} + 14)",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{4} \\cdot (\\frac{6}{3\\frac{2}{3}} + 14)",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.31, bodu=42, $$\frac{\frac{-11}{8 - 14} + 10}{3\frac{5}{7}}=\textcolor{white}{3\frac{29}{156}}$$return {
["body"] = 42,
["id"] = "votOjz_1207_1516",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = 3.1858974358974,
["objekt"] = {
["hodnota"] = {
["citatel"] = 497,
["jmenovatel"] = 156 },
["render"] = "\\frac{497}{156}",
["typ"] = "cislo" },
["tex"] = "3\\frac{29}{156}",
["x"] = 3,
["y"] = 29,
["z"] = 156 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "8 - 14",
["typ"] = "minus" },
["render"] = "\\frac{-11}{8 - 14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{8 - 14} + 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-11}{8 - 14} + 10}{3\\frac{5}{7}}",
["typ"] = "lomeno" } }
seed: JPeEx7bbtYkCtEge0VWx_0.32, bodu=43, $$2\frac{5}{6} \cdot (-10 - 6) \cdot 6=\textcolor{white}{-272}$$return {
["body"] = 43,
["id"] = "CToB3m_1207_1516",
["obtiznost"] = 0.52,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -272,
["jmenovatel"] = 1 },
["render"] = "\\frac{-816}{3}",
["typ"] = "cislo" },
["tex"] = "-272",
["tex_float"] = "-272",
["x"] = -272 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 6 },
["render"] = "2\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-10 - 6",
["typ"] = "minus" },
["render"] = "(-10 - 6)",
["typ"] = "zavorka" },
["render"] = "2\\frac{5}{6} \\cdot (-10 - 6)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{6} \\cdot (-10 - 6) \\cdot 6",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.33, bodu=44, $$\frac{8}{11} - 1\frac{2}{5} - 7=\textcolor{white}{-7\frac{37}{55}}$$return {
["body"] = 44,
["id"] = "qRBnii_1207_1516",
["obtiznost"] = 0.53,
["reseni"] = {
["float"] = -7.6727272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = -422,
["jmenovatel"] = 55 },
["render"] = "\\frac{-422}{55}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{37}{55}",
["x"] = -7,
["y"] = 37,
["z"] = 55 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{8}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{11} - 1\\frac{2}{5}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{8}{11} - 1\\frac{2}{5} - 7",
["typ"] = "minus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.34, bodu=13, $$-5 \cdot 11 \cdot 9 - 7=\textcolor{white}{-502}$$return {
["body"] = 13,
["id"] = "1ANyCF_1207_1516",
["obtiznost"] = 0.34,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -502,
["jmenovatel"] = 1 },
["render"] = "\\frac{-502}{1}",
["typ"] = "cislo" },
["tex"] = "-502",
["tex_float"] = "-502",
["x"] = -502 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 11 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 11 \\cdot 9 - 7",
["typ"] = "minus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.35, bodu=28, $$\frac{-5 \cdot -6}{-2} - 7=\textcolor{white}{-22}$$return {
["body"] = 28,
["id"] = "coPxxT_1207_1516",
["obtiznost"] = 0.35,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "\\frac{-22}{1}",
["typ"] = "cislo" },
["tex"] = "-22",
["x"] = -22 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-5 \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "\\frac{-5 \\cdot -6}{-2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-5 \\cdot -6}{-2} - 7",
["typ"] = "minus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.36, bodu=83, $$\frac{\frac{8}{(14 + 14)^2} - 3\frac{2}{7}}{12}=\textcolor{white}{-\frac{107}{392}}$$return {
["body"] = 83,
["id"] = "Eku0XD_1207_1516",
["obtiznost"] = 0.874,
["reseni"] = {
["float"] = -0.27295918367347,
["objekt"] = {
["hodnota"] = {
["citatel"] = -107,
["jmenovatel"] = 392 },
["render"] = "\\frac{-321}{1176}",
["typ"] = "cislo" },
["tex"] = "-\\frac{107}{392}",
["y"] = -107,
["z"] = 392 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "14 + 14",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(14 + 14)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{8}{(14 + 14)^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{(14 + 14)^2} - 3\\frac{2}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{8}{(14 + 14)^2} - 3\\frac{2}{7}}{12}",
["typ"] = "lomeno" } }
seed: JPeEx7bbtYkCtEge0VWx_0.37, bodu=30, $$\frac{(11 + (-12))^2}{(\frac{13 - (-11)}{-8})^2}=\textcolor{white}{\frac{1}{9}}$$return {
["body"] = 30,
["id"] = "DXpLHV_1207_1516",
["obtiznost"] = 0.3748,
["reseni"] = {
["float"] = 0.11111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 9 },
["render"] = "\\frac{1}{9}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{9}",
["y"] = 1,
["z"] = 9 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.37",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "11 + (-12)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(11 + (-12))^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["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"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{13 - (-11)}{-8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{13 - (-11)}{-8})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{(11 + (-12))^2}{(\\frac{13 - (-11)}{-8})^2}",
["typ"] = "lomeno" } }
seed: JPeEx7bbtYkCtEge0VWx_0.38, bodu=15, $$(-8 - 8 - (-11)) \cdot 15=\textcolor{white}{-75}$$return {
["body"] = 15,
["id"] = "Ny2aaQ_1207_1516",
["obtiznost"] = 0.38,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -75,
["jmenovatel"] = 1 },
["render"] = "\\frac{-75}{1}",
["typ"] = "cislo" },
["tex"] = "-75",
["tex_float"] = "-75",
["x"] = -75 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.38",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-8 - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-8 - 8 - (-11)",
["typ"] = "minus" },
["render"] = "(-8 - 8 - (-11))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "(-8 - 8 - (-11)) \\cdot 15",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.39, bodu=31, $$(-11 + 6) \cdot \frac{-4}{9}=\textcolor{white}{2\frac{2}{9}}$$return {
["body"] = 31,
["id"] = "XdLpGu_1207_1516",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = 2.2222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "\\frac{20}{9}",
["typ"] = "cislo" },
["tex"] = "2\\frac{2}{9}",
["x"] = 2,
["y"] = 2,
["z"] = 9 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.39",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-11 + 6",
["typ"] = "plus" },
["render"] = "(-11 + 6)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{9}",
["typ"] = "lomeno" },
["render"] = "(-11 + 6) \\cdot \\frac{-4}{9}",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.4, bodu=32, $$11 + \frac{6}{6 + (-13)} + 10 + 5=\textcolor{white}{25\frac{1}{7}}$$return {
["body"] = 32,
["id"] = "fw7hDQ_1207_1516",
["obtiznost"] = 0.4,
["reseni"] = {
["float"] = 25.142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 176,
["jmenovatel"] = 7 },
["render"] = "\\frac{176}{7}",
["typ"] = "cislo" },
["tex"] = "25\\frac{1}{7}",
["x"] = 25,
["y"] = 1,
["z"] = 7 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "6 + (-13)",
["typ"] = "plus" },
["render"] = "\\frac{6}{6 + (-13)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{6}{6 + (-13)} + 10",
["typ"] = "plus" },
["render"] = "11 + \\frac{6}{6 + (-13)} + 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "11 + \\frac{6}{6 + (-13)} + 10 + 5",
["typ"] = "plus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.41, bodu=16, $$9 \cdot 7 + (-9 - (-9 + (-6))) + (-11)=\textcolor{white}{58}$$return {
["body"] = 16,
["id"] = "qUCrSl_1207_1516",
["obtiznost"] = 0.41,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 58,
["jmenovatel"] = 1 },
["render"] = "\\frac{58}{1}",
["typ"] = "cislo" },
["tex"] = "58",
["tex_float"] = "58",
["x"] = 58 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["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"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-9 + (-6)",
["typ"] = "plus" },
["render"] = "(-9 + (-6))",
["typ"] = "zavorka" },
["render"] = "-9 - (-9 + (-6))",
["typ"] = "minus" },
["render"] = "9 \\cdot 7 + (-9 - (-9 + (-6)))",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "9 \\cdot 7 + (-9 - (-9 + (-6))) + (-11)",
["typ"] = "plus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.42, bodu=77, $$2\frac{3}{5} - ((12 + (13 - 11)^2) \cdot 13 + 4\frac{1}{6})=\textcolor{white}{-209\frac{17}{30}}$$return {
["body"] = 77,
["id"] = "C1YJ8G_1207_1516",
["obtiznost"] = 0.822,
["reseni"] = {
["float"] = -209.56666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6287,
["jmenovatel"] = 30 },
["render"] = "\\frac{-6287}{30}",
["typ"] = "cislo" },
["tex"] = "-209\\frac{17}{30}",
["x"] = -209,
["y"] = 17,
["z"] = 30 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.42",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(13 - 11)^2",
["typ"] = "mocnina" },
["render"] = "12 + (13 - 11)^2",
["typ"] = "plus" },
["render"] = "(12 + (13 - 11)^2)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(12 + (13 - 11)^2) \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "(12 + (13 - 11)^2) \\cdot 13 + 4\\frac{1}{6}",
["typ"] = "plus" },
["render"] = "((12 + (13 - 11)^2) \\cdot 13 + 4\\frac{1}{6})",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{5} - ((12 + (13 - 11)^2) \\cdot 13 + 4\\frac{1}{6})",
["typ"] = "minus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.43, bodu=55, $$\frac{5}{-8} + 8 - (-6) - 3\frac{2}{7}=\textcolor{white}{10\frac{5}{56}}$$return {
["body"] = 55,
["id"] = "8zAkYF_1207_1516",
["obtiznost"] = 0.63,
["reseni"] = {
["float"] = 10.089285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 565,
["jmenovatel"] = 56 },
["render"] = "\\frac{565}{56}",
["typ"] = "cislo" },
["tex"] = "10\\frac{5}{56}",
["x"] = 10,
["y"] = 5,
["z"] = 56 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{5}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "8 - (-6)",
["typ"] = "minus" },
["render"] = "\\frac{5}{-8} + 8 - (-6)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{5}{-8} + 8 - (-6) - 3\\frac{2}{7}",
["typ"] = "minus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.44, bodu=56, $$\frac{10}{1\frac{1}{6}} + 6 - \frac{8}{-13}=\textcolor{white}{15\frac{17}{91}}$$return {
["body"] = 56,
["id"] = "KF8Orf_1207_1516",
["obtiznost"] = 0.64,
["reseni"] = {
["float"] = 15.186813186813,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1382,
["jmenovatel"] = 91 },
["render"] = "\\frac{1382}{91}",
["typ"] = "cislo" },
["tex"] = "15\\frac{17}{91}",
["x"] = 15,
["y"] = 17,
["z"] = 91 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{1\\frac{1}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{10}{1\\frac{1}{6}} + 6",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-13}",
["typ"] = "lomeno" },
["render"] = "\\frac{10}{1\\frac{1}{6}} + 6 - \\frac{8}{-13}",
["typ"] = "minus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.45, bodu=57, $$\frac{-8 \cdot 10}{3\frac{5}{10} - \frac{11}{-10}}=\textcolor{white}{-17\frac{9}{23}}$$return {
["body"] = 57,
["id"] = "7bapH6_1207_1516",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = -17.391304347826,
["objekt"] = {
["hodnota"] = {
["citatel"] = -400,
["jmenovatel"] = 23 },
["render"] = "\\frac{-400}{23}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{9}{23}",
["x"] = -17,
["y"] = 9,
["z"] = 23 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-10}",
["typ"] = "lomeno" },
["render"] = "3\\frac{5}{10} - \\frac{11}{-10}",
["typ"] = "minus" },
["render"] = "\\frac{-8 \\cdot 10}{3\\frac{5}{10} - \\frac{11}{-10}}",
["typ"] = "lomeno" } }
seed: JPeEx7bbtYkCtEge0VWx_0.46, bodu=19, $$-10 - 14 + (-16) + 8 + 14 - (-14)=\textcolor{white}{-4}$$return {
["body"] = 19,
["id"] = "xXANIM_1207_1516",
["obtiznost"] = 0.46,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "\\frac{-4}{1}",
["typ"] = "cislo" },
["tex"] = "-4",
["x"] = -4 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-10 - 14",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-10 - 14 + (-16)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "14 - (-14)",
["typ"] = "minus" },
["render"] = "8 + 14 - (-14)",
["typ"] = "plus" },
["render"] = "-10 - 14 + (-16) + 8 + 14 - (-14)",
["typ"] = "plus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.47, bodu=83, $$(4\frac{2}{6} + 1\frac{5}{10}) \cdot (15 + \frac{4}{-4} + (-11))=\textcolor{white}{17{,}5}$$return {
["body"] = 83,
["id"] = "SseYQM_1207_1516",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = 17.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 2 },
["render"] = "\\frac{105}{6}",
["typ"] = "cislo" },
["tex"] = "17\\frac{1}{2}",
["tex_float"] = "17{,}5",
["x"] = 17,
["y"] = 1,
["z"] = 2 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.47",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} + 1\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{6} + 1\\frac{5}{10})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{4}{-4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{4}{-4} + (-11)",
["typ"] = "plus" },
["render"] = "15 + \\frac{4}{-4} + (-11)",
["typ"] = "plus" },
["render"] = "(15 + \\frac{4}{-4} + (-11))",
["typ"] = "zavorka" },
["render"] = "(4\\frac{2}{6} + 1\\frac{5}{10}) \\cdot (15 + \\frac{4}{-4} + (-11))",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.48, bodu=75, $$-11 - 3\frac{2}{9} - (-11 + (-13) + (-7 - 11)^2)=\textcolor{white}{-314\frac{2}{9}}$$return {
["body"] = 75,
["id"] = "v0KFwp_1207_1516",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = -314.22222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2828,
["jmenovatel"] = 9 },
["render"] = "\\frac{-2828}{9}",
["typ"] = "cislo" },
["tex"] = "-314\\frac{2}{9}",
["x"] = -314,
["y"] = 2,
["z"] = 9 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "-11 - 3\\frac{2}{9}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-11 + (-13)",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(-7 - 11)^2",
["typ"] = "mocnina" },
["render"] = "-11 + (-13) + (-7 - 11)^2",
["typ"] = "plus" },
["render"] = "(-11 + (-13) + (-7 - 11)^2)",
["typ"] = "zavorka" },
["render"] = "-11 - 3\\frac{2}{9} - (-11 + (-13) + (-7 - 11)^2)",
["typ"] = "minus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.49, bodu=61, $$\frac{-13 + (-9)}{\frac{2\frac{3}{5}}{-14} + 8}=\textcolor{white}{-2\frac{446}{547}}$$return {
["body"] = 61,
["id"] = "vIUJFa_1207_1516",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = -2.8153564899452,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1540,
["jmenovatel"] = 547 },
["render"] = "\\frac{-1540}{547}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{446}{547}",
["x"] = -2,
["y"] = 446,
["z"] = 547 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-13 + (-9)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{5}}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{5}}{-14} + 8",
["typ"] = "plus" },
["render"] = "\\frac{-13 + (-9)}{\\frac{2\\frac{3}{5}}{-14} + 8}",
["typ"] = "lomeno" } }
seed: JPeEx7bbtYkCtEge0VWx_0.5, bodu=62, $$(\frac{-14}{2\frac{5}{7}} - 9) \cdot (\frac{-16}{-8})^2=\textcolor{white}{-56\frac{12}{19}}$$return {
["body"] = 62,
["id"] = "R2N4eH_1207_1516",
["obtiznost"] = 0.702,
["reseni"] = {
["float"] = -56.631578947368,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1076,
["jmenovatel"] = 19 },
["render"] = "\\frac{-1076}{19}",
["typ"] = "cislo" },
["tex"] = "-56\\frac{12}{19}",
["x"] = -56,
["y"] = 12,
["z"] = 19 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.5",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{2\\frac{5}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{2\\frac{5}{7}} - 9",
["typ"] = "minus" },
["render"] = "(\\frac{-14}{2\\frac{5}{7}} - 9)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{-8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-16}{-8})^2",
["typ"] = "mocnina" },
["render"] = "(\\frac{-14}{2\\frac{5}{7}} - 9) \\cdot (\\frac{-16}{-8})^2",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.51, bodu=88, $$\frac{\frac{-11}{14}}{1\frac{2}{6}} - (14 + 3\frac{5}{11})=\textcolor{white}{-18\frac{27}{616}}$$return {
["body"] = 88,
["id"] = "joKNxk_1207_1516",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = -18.043831168831,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11115,
["jmenovatel"] = 616 },
["render"] = "\\frac{-11115}{616}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{27}{616}",
["x"] = -18,
["y"] = 27,
["z"] = 616 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-11}{14}}{1\\frac{2}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "14 + 3\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "(14 + 3\\frac{5}{11})",
["typ"] = "zavorka" },
["render"] = "\\frac{\\frac{-11}{14}}{1\\frac{2}{6}} - (14 + 3\\frac{5}{11})",
["typ"] = "minus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.52, bodu=43, $$-13 - 9 + \frac{-16}{-6 + (-11 + 6)}=\textcolor{white}{-20\frac{6}{11}}$$return {
["body"] = 43,
["id"] = "42ctbJ_1207_1516",
["obtiznost"] = 0.52,
["reseni"] = {
["float"] = -20.545454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = -226,
["jmenovatel"] = 11 },
["render"] = "\\frac{-226}{11}",
["typ"] = "cislo" },
["tex"] = "-20\\frac{6}{11}",
["x"] = -20,
["y"] = 6,
["z"] = 11 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-13 - 9",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["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"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-11 + 6",
["typ"] = "plus" },
["render"] = "-6 + (-11 + 6)",
["typ"] = "plus" },
["render"] = "\\frac{-16}{-6 + (-11 + 6)}",
["typ"] = "lomeno" },
["render"] = "-13 - 9 + \\frac{-16}{-6 + (-11 + 6)}",
["typ"] = "plus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.53, bodu=118, $$\frac{-10 - 3\frac{3}{9} \cdot -13 \cdot 3\frac{5}{7}}{3\frac{1}{7}}=\textcolor{white}{48\frac{1}{33}}$$return {
["body"] = 118,
["id"] = "YLuBm6_1207_1516",
["obtiznost"] = 1.13,
["reseni"] = {
["float"] = 48.030303030303,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1585,
["jmenovatel"] = 33 },
["render"] = "\\frac{22190}{462}",
["typ"] = "cislo" },
["tex"] = "48\\frac{1}{33}",
["x"] = 48,
["y"] = 1,
["z"] = 33 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{9} \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{9} \\cdot -13 \\cdot 3\\frac{5}{7}",
["typ"] = "krat" },
["render"] = "-10 - 3\\frac{3}{9} \\cdot -13 \\cdot 3\\frac{5}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-10 - 3\\frac{3}{9} \\cdot -13 \\cdot 3\\frac{5}{7}}{3\\frac{1}{7}}",
["typ"] = "lomeno" } }
seed: JPeEx7bbtYkCtEge0VWx_0.54, bodu=23, $$15 \cdot -9 \cdot (-8 - 14 + 16)^2=\textcolor{white}{-4860}$$return {
["body"] = 23,
["id"] = "3MY6Bz_1207_1516",
["obtiznost"] = 0.5548,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -4860,
["jmenovatel"] = 1 },
["render"] = "\\frac{-4860}{1}",
["typ"] = "cislo" },
["tex"] = "-4860",
["x"] = -4860 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.54",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-8 - 14",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-8 - 14 + 16",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-8 - 14 + 16)^2",
["typ"] = "mocnina" },
["render"] = "-9 \\cdot (-8 - 14 + 16)^2",
["typ"] = "krat" },
["render"] = "15 \\cdot -9 \\cdot (-8 - 14 + 16)^2",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.55, bodu=183, $$1\frac{3}{7} \cdot 4\frac{3}{9} \cdot (4\frac{2}{9} \cdot 3\frac{3}{9} - 4\frac{2}{5})=\textcolor{white}{59\frac{503}{567}}$$return {
["body"] = 183,
["id"] = "kHPuDd_1207_1516",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = 59.887125220459,
["objekt"] = {
["hodnota"] = {
["citatel"] = 33956,
["jmenovatel"] = 567 },
["render"] = "\\frac{169780}{2835}",
["typ"] = "cislo" },
["tex"] = "59\\frac{503}{567}",
["x"] = 59,
["y"] = 503,
["z"] = 567 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} \\cdot 4\\frac{3}{9}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{9} \\cdot 3\\frac{3}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{9} \\cdot 3\\frac{3}{9} - 4\\frac{2}{5}",
["typ"] = "minus" },
["render"] = "(4\\frac{2}{9} \\cdot 3\\frac{3}{9} - 4\\frac{2}{5})",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{7} \\cdot 4\\frac{3}{9} \\cdot (4\\frac{2}{9} \\cdot 3\\frac{3}{9} - 4\\frac{2}{5})",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.56, bodu=69, $$\frac{18}{\frac{17}{5} + 15 + 2\frac{1}{6} - (-6)}=\textcolor{white}{\frac{540}{797}}$$return {
["body"] = 69,
["id"] = "Xrwneb_1207_1516",
["obtiznost"] = 0.76,
["reseni"] = {
["float"] = 0.67754077791719,
["objekt"] = {
["hodnota"] = {
["citatel"] = 540,
["jmenovatel"] = 797 },
["render"] = "\\frac{540}{797}",
["typ"] = "cislo" },
["tex"] = "\\frac{540}{797}",
["y"] = 540,
["z"] = 797 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.56",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{17}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{17}{5} + 15",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{6} - (-6)",
["typ"] = "minus" },
["render"] = "\\frac{17}{5} + 15 + 2\\frac{1}{6} - (-6)",
["typ"] = "plus" },
["render"] = "\\frac{18}{\\frac{17}{5} + 15 + 2\\frac{1}{6} - (-6)}",
["typ"] = "lomeno" } }
seed: JPeEx7bbtYkCtEge0VWx_0.57, bodu=71, $$\frac{(\frac{10}{15})^2}{1\frac{2}{10}} \cdot -12=\textcolor{white}{-4\frac{4}{9}}$$return {
["body"] = 71,
["id"] = "LOczZC_1207_1516",
["obtiznost"] = 0.7752,
["reseni"] = {
["float"] = -4.4444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -40,
["jmenovatel"] = 9 },
["render"] = "\\frac{-120}{27}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{4}{9}",
["x"] = -4,
["y"] = 4,
["z"] = 9 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{10}{15}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{15})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{10}{15})^2}{1\\frac{2}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{10}{15})^2}{1\\frac{2}{10}} \\cdot -12",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.58, bodu=71, $$\frac{-9}{(11 \cdot 13 + 1\frac{5}{10}) \cdot 12}=\textcolor{white}{-\frac{3}{578}}$$return {
["body"] = 71,
["id"] = "rIsf62_1207_1516",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = -0.0051903114186851,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 578 },
["render"] = "\\frac{-9}{1734}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3}{578}",
["y"] = -3,
["z"] = 578 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.58",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "11 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 13 + 1\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "(11 \\cdot 13 + 1\\frac{5}{10})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(11 \\cdot 13 + 1\\frac{5}{10}) \\cdot 12",
["typ"] = "krat" },
["render"] = "\\frac{-9}{(11 \\cdot 13 + 1\\frac{5}{10}) \\cdot 12}",
["typ"] = "lomeno" } }
seed: JPeEx7bbtYkCtEge0VWx_0.59, bodu=98, $$\frac{14}{-16} + 3\frac{3}{8} - \frac{3\frac{2}{7}}{-9}=\textcolor{white}{2\frac{109}{126}}$$return {
["body"] = 98,
["id"] = "kTiPfZ_1207_1516",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = 2.8650793650794,
["objekt"] = {
["hodnota"] = {
["citatel"] = 361,
["jmenovatel"] = 126 },
["render"] = "\\frac{11552}{4032}",
["typ"] = "cislo" },
["tex"] = "2\\frac{109}{126}",
["x"] = 2,
["y"] = 109,
["z"] = 126 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{14}{-16}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{7}}{-9}",
["typ"] = "lomeno" },
["render"] = "3\\frac{3}{8} - \\frac{3\\frac{2}{7}}{-9}",
["typ"] = "minus" },
["render"] = "\\frac{14}{-16} + 3\\frac{3}{8} - \\frac{3\\frac{2}{7}}{-9}",
["typ"] = "plus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.6, bodu=100, $$\frac{-6}{(2\frac{4}{5} - 1\frac{2}{9}) \cdot -19 - 18}=\textcolor{white}{\frac{270}{2159}}$$return {
["body"] = 100,
["id"] = "y4nHxa_1207_1516",
["obtiznost"] = 1,
["reseni"] = {
["float"] = 0.12505789717462,
["objekt"] = {
["hodnota"] = {
["citatel"] = 270,
["jmenovatel"] = 2159 },
["render"] = "\\frac{-270}{-2159}",
["typ"] = "cislo" },
["tex"] = "\\frac{270}{2159}",
["y"] = 270,
["z"] = 2159 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.6",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{5} - 1\\frac{2}{9}",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{5} - 1\\frac{2}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "(2\\frac{4}{5} - 1\\frac{2}{9}) \\cdot -19",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "(2\\frac{4}{5} - 1\\frac{2}{9}) \\cdot -19 - 18",
["typ"] = "minus" },
["render"] = "\\frac{-6}{(2\\frac{4}{5} - 1\\frac{2}{9}) \\cdot -19 - 18}",
["typ"] = "lomeno" } }
seed: JPeEx7bbtYkCtEge0VWx_0.61, bodu=129, $$\frac{\frac{-10}{1\frac{1}{3}} + 2\frac{5}{10} - 1\frac{1}{4}}{6 \cdot 8}=\textcolor{white}{-\frac{25}{192}}$$return {
["body"] = 129,
["id"] = "Bifopd_1207_1516",
["obtiznost"] = 1.21,
["reseni"] = {
["float"] = -0.13020833333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -25,
["jmenovatel"] = 192 },
["render"] = "\\frac{-25}{192}",
["typ"] = "cislo" },
["tex"] = "-\\frac{25}{192}",
["y"] = -25,
["z"] = 192 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{1\\frac{1}{3}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{1\\frac{1}{3}} + 2\\frac{5}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{1\\frac{1}{3}} + 2\\frac{5}{10} - 1\\frac{1}{4}",
["typ"] = "minus" },
["c2"] = {
["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" },
["render"] = "\\frac{\\frac{-10}{1\\frac{1}{3}} + 2\\frac{5}{10} - 1\\frac{1}{4}}{6 \\cdot 8}",
["typ"] = "lomeno" } }
seed: JPeEx7bbtYkCtEge0VWx_0.62, bodu=167, $$(3\frac{5}{10} - (3\frac{5}{8} + 4\frac{3}{6})) \cdot \frac{14}{(11 + 13)^2}=\textcolor{white}{-\frac{259}{2304}}$$return {
["body"] = 167,
["id"] = "N1Kniz_1207_1516",
["obtiznost"] = 1.4508,
["reseni"] = {
["float"] = -0.11241319444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -259,
["jmenovatel"] = 2304 },
["render"] = "\\frac{-259}{2304}",
["typ"] = "cislo" },
["tex"] = "-\\frac{259}{2304}",
["y"] = -259,
["z"] = 2304 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.62",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{8} + 4\\frac{3}{6}",
["typ"] = "plus" },
["render"] = "(3\\frac{5}{8} + 4\\frac{3}{6})",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{10} - (3\\frac{5}{8} + 4\\frac{3}{6})",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{10} - (3\\frac{5}{8} + 4\\frac{3}{6}))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "11 + 13",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(11 + 13)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{14}{(11 + 13)^2}",
["typ"] = "lomeno" },
["render"] = "(3\\frac{5}{10} - (3\\frac{5}{8} + 4\\frac{3}{6})) \\cdot \\frac{14}{(11 + 13)^2}",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.63, bodu=38, $$16 \cdot (-16 - 3) - ((-8 + (-14))^2 + 12)=\textcolor{white}{-800}$$return {
["body"] = 38,
["id"] = "VZ4p2q_1207_1516",
["obtiznost"] = 0.824,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -800,
["jmenovatel"] = 1 },
["render"] = "\\frac{-800}{1}",
["typ"] = "cislo" },
["tex"] = "-800",
["x"] = -800 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-16 - 3",
["typ"] = "minus" },
["render"] = "(-16 - 3)",
["typ"] = "zavorka" },
["render"] = "16 \\cdot (-16 - 3)",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-8 + (-14)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-8 + (-14))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(-8 + (-14))^2 + 12",
["typ"] = "plus" },
["render"] = "((-8 + (-14))^2 + 12)",
["typ"] = "zavorka" },
["render"] = "16 \\cdot (-16 - 3) - ((-8 + (-14))^2 + 12)",
["typ"] = "minus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.64, bodu=105, $$\frac{11}{1\frac{2}{10}} \cdot 2\frac{2}{9} \cdot -8 \cdot 14=\textcolor{white}{-2281\frac{13}{27}}$$return {
["body"] = 105,
["id"] = "67dIBk_1207_1516",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = -2281.4814814815,
["objekt"] = {
["hodnota"] = {
["citatel"] = -61600,
["jmenovatel"] = 27 },
["render"] = "\\frac{-123200}{54}",
["typ"] = "cislo" },
["tex"] = "-2281\\frac{13}{27}",
["x"] = -2281,
["y"] = 13,
["z"] = 27 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{1\\frac{2}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} \\cdot -8 \\cdot 14",
["typ"] = "krat" },
["render"] = "\\frac{11}{1\\frac{2}{10}} \\cdot 2\\frac{2}{9} \\cdot -8 \\cdot 14",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.65, bodu=167, $$(4\frac{2}{10} - (1\frac{3}{8} + 1\frac{4}{7})) \cdot 1\frac{4}{12} + (-15 \cdot -15)=\textcolor{white}{226\frac{47}{70}}$$return {
["body"] = 167,
["id"] = "pU9Qd3_1207_1516",
["obtiznost"] = 1.45,
["reseni"] = {
["float"] = 226.67142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15867,
["jmenovatel"] = 70 },
["render"] = "\\frac{15867}{70}",
["typ"] = "cislo" },
["tex"] = "226\\frac{47}{70}",
["x"] = 226,
["y"] = 47,
["z"] = 70 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} + 1\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{8} + 1\\frac{4}{7})",
["typ"] = "zavorka" },
["render"] = "4\\frac{2}{10} - (1\\frac{3}{8} + 1\\frac{4}{7})",
["typ"] = "minus" },
["render"] = "(4\\frac{2}{10} - (1\\frac{3}{8} + 1\\frac{4}{7}))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "(4\\frac{2}{10} - (1\\frac{3}{8} + 1\\frac{4}{7})) \\cdot 1\\frac{4}{12}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-15 \\cdot -15",
["typ"] = "krat" },
["render"] = "(4\\frac{2}{10} - (1\\frac{3}{8} + 1\\frac{4}{7})) \\cdot 1\\frac{4}{12} + (-15 \\cdot -15)",
["typ"] = "plus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.66, bodu=96, $$8 \cdot (12 - 2\frac{2}{9}) - ((8 + 9)^2 - 16)=\textcolor{white}{-194\frac{7}{9}}$$return {
["body"] = 96,
["id"] = "MFbHk7_1207_1516",
["obtiznost"] = 0.976,
["reseni"] = {
["float"] = -194.77777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1753,
["jmenovatel"] = 9 },
["render"] = "\\frac{-1753}{9}",
["typ"] = "cislo" },
["tex"] = "-194\\frac{7}{9}",
["x"] = -194,
["y"] = 7,
["z"] = 9 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "12 - 2\\frac{2}{9}",
["typ"] = "minus" },
["render"] = "(12 - 2\\frac{2}{9})",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (12 - 2\\frac{2}{9})",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(8 + 9)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "(8 + 9)^2 - 16",
["typ"] = "minus" },
["render"] = "((8 + 9)^2 - 16)",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (12 - 2\\frac{2}{9}) - ((8 + 9)^2 - 16)",
["typ"] = "minus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.67, bodu=83, $$1\frac{3}{7} \cdot -15 \cdot -11 - (-16 + (-20) + (-7))=\textcolor{white}{278\frac{5}{7}}$$return {
["body"] = 83,
["id"] = "GjNSeX_1207_1516",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = 278.71428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1951,
["jmenovatel"] = 7 },
["render"] = "\\frac{1951}{7}",
["typ"] = "cislo" },
["tex"] = "278\\frac{5}{7}",
["x"] = 278,
["y"] = 5,
["z"] = 7 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} \\cdot -15 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "-16 + (-20)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-16 + (-20) + (-7)",
["typ"] = "plus" },
["render"] = "(-16 + (-20) + (-7))",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{7} \\cdot -15 \\cdot -11 - (-16 + (-20) + (-7))",
["typ"] = "minus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.68, bodu=140, $$\frac{1\frac{3}{5}}{-8 \cdot 4\frac{3}{9} - (2\frac{1}{3} - (-14))}=\textcolor{white}{-\frac{8}{255}}$$return {
["body"] = 140,
["id"] = "L6RHVl_1207_1516",
["obtiznost"] = 1.28,
["reseni"] = {
["float"] = -0.031372549019608,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 255 },
["render"] = "\\frac{8}{-255}",
["typ"] = "cislo" },
["tex"] = "-\\frac{8}{255}",
["y"] = -8,
["z"] = 255 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.68",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 4\\frac{3}{9}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{3} - (-14)",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{3} - (-14))",
["typ"] = "zavorka" },
["render"] = "-8 \\cdot 4\\frac{3}{9} - (2\\frac{1}{3} - (-14))",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{3}{5}}{-8 \\cdot 4\\frac{3}{9} - (2\\frac{1}{3} - (-14))}",
["typ"] = "lomeno" } }
seed: JPeEx7bbtYkCtEge0VWx_0.69, bodu=112, $$13 \cdot (2\frac{4}{12} - \frac{10}{2\frac{1}{10}}) \cdot 13=\textcolor{white}{-410\frac{3}{7}}$$return {
["body"] = 112,
["id"] = "FKnFW8_1207_1516",
["obtiznost"] = 1.09,
["reseni"] = {
["float"] = -410.42857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2873,
["jmenovatel"] = 7 },
["render"] = "\\frac{-2873}{7}",
["typ"] = "cislo" },
["tex"] = "-410\\frac{3}{7}",
["x"] = -410,
["y"] = 3,
["z"] = 7 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.69",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 10 },
["render"] = "2\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{2\\frac{1}{10}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{4}{12} - \\frac{10}{2\\frac{1}{10}}",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{12} - \\frac{10}{2\\frac{1}{10}})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(2\\frac{4}{12} - \\frac{10}{2\\frac{1}{10}}) \\cdot 13",
["typ"] = "krat" },
["render"] = "13 \\cdot (2\\frac{4}{12} - \\frac{10}{2\\frac{1}{10}}) \\cdot 13",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.7, bodu=86, $$4 - \frac{10}{17 \cdot -7 + (-18) - 3\frac{3}{10}}=\textcolor{white}{4\frac{100}{1403}}$$return {
["body"] = 86,
["id"] = "WVNZoP_1207_1516",
["obtiznost"] = 0.9,
["reseni"] = {
["float"] = 4.0712758374911,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5712,
["jmenovatel"] = 1403 },
["render"] = "\\frac{5712}{1403}",
["typ"] = "cislo" },
["tex"] = "4\\frac{100}{1403}",
["x"] = 4,
["y"] = 100,
["z"] = 1403 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.7",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "17 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "17 \\cdot -7 + (-18)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "17 \\cdot -7 + (-18) - 3\\frac{3}{10}",
["typ"] = "minus" },
["render"] = "\\frac{10}{17 \\cdot -7 + (-18) - 3\\frac{3}{10}}",
["typ"] = "lomeno" },
["render"] = "4 - \\frac{10}{17 \\cdot -7 + (-18) - 3\\frac{3}{10}}",
["typ"] = "minus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.71, bodu=115, $$-5 \cdot (2\frac{1}{7} - 17) - (2\frac{3}{10} - (-8) + 21)=\textcolor{white}{42\frac{69}{70}}$$return {
["body"] = 115,
["id"] = "tepaeL_1207_1516",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = 42.985714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3009,
["jmenovatel"] = 70 },
["render"] = "\\frac{3009}{70}",
["typ"] = "cislo" },
["tex"] = "42\\frac{69}{70}",
["x"] = 42,
["y"] = 69,
["z"] = 70 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{7} - 17",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{7} - 17)",
["typ"] = "zavorka" },
["render"] = "-5 \\cdot (2\\frac{1}{7} - 17)",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{10} - (-8)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{10} - (-8) + 21",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{10} - (-8) + 21)",
["typ"] = "zavorka" },
["render"] = "-5 \\cdot (2\\frac{1}{7} - 17) - (2\\frac{3}{10} - (-8) + 21)",
["typ"] = "minus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.72, bodu=89, $$-8 \cdot -11 \cdot (9 + 9 + 2\frac{2}{9} - (-10))=\textcolor{white}{2659\frac{5}{9}}$$return {
["body"] = 89,
["id"] = "AKzunN_1207_1516",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = 2659.5555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 23936,
["jmenovatel"] = 9 },
["render"] = "\\frac{23936}{9}",
["typ"] = "cislo" },
["tex"] = "2659\\frac{5}{9}",
["x"] = 2659,
["y"] = 5,
["z"] = 9 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} - (-10)",
["typ"] = "minus" },
["render"] = "9 + 2\\frac{2}{9} - (-10)",
["typ"] = "plus" },
["render"] = "9 + 9 + 2\\frac{2}{9} - (-10)",
["typ"] = "plus" },
["render"] = "(9 + 9 + 2\\frac{2}{9} - (-10))",
["typ"] = "zavorka" },
["render"] = "-8 \\cdot -11 \\cdot (9 + 9 + 2\\frac{2}{9} - (-10))",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.73, bodu=118, $$4\frac{3}{5} - \frac{-15 + \frac{18}{3\frac{5}{11}}}{12 + (-5)}=\textcolor{white}{5\frac{664}{665}}$$return {
["body"] = 118,
["id"] = "cSBCnA_1207_1516",
["obtiznost"] = 1.13,
["reseni"] = {
["float"] = 5.9984962406015,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3989,
["jmenovatel"] = 665 },
["render"] = "\\frac{3989}{665}",
["typ"] = "cislo" },
["tex"] = "5\\frac{664}{665}",
["x"] = 5,
["y"] = 664,
["z"] = 665 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.73",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{18}{3\\frac{5}{11}}",
["typ"] = "lomeno" },
["render"] = "-15 + \\frac{18}{3\\frac{5}{11}}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "12 + (-5)",
["typ"] = "plus" },
["render"] = "\\frac{-15 + \\frac{18}{3\\frac{5}{11}}}{12 + (-5)}",
["typ"] = "lomeno" },
["render"] = "4\\frac{3}{5} - \\frac{-15 + \\frac{18}{3\\frac{5}{11}}}{12 + (-5)}",
["typ"] = "minus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.74, bodu=92, $$-16 \cdot 9 - \frac{10}{1\frac{3}{10}} + (-9 + (-9))=\textcolor{white}{-169\frac{9}{13}}$$return {
["body"] = 92,
["id"] = "n44IXg_1207_1516",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = -169.69230769231,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2206,
["jmenovatel"] = 13 },
["render"] = "\\frac{-2206}{13}",
["typ"] = "cislo" },
["tex"] = "-169\\frac{9}{13}",
["x"] = -169,
["y"] = 9,
["z"] = 13 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{1\\frac{3}{10}}",
["typ"] = "lomeno" },
["render"] = "-16 \\cdot 9 - \\frac{10}{1\\frac{3}{10}}",
["typ"] = "minus" },
["c2"] = {
["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" },
["render"] = "-16 \\cdot 9 - \\frac{10}{1\\frac{3}{10}} + (-9 + (-9))",
["typ"] = "plus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.75, bodu=183, $$\frac{13 + 4\frac{1}{7} + 3\frac{5}{9}}{1\frac{5}{11}} \cdot (2\frac{3}{4} + 13)=\textcolor{white}{224{,}125}$$return {
["body"] = 183,
["id"] = "41ie2u_1207_1516",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = 224.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1793,
["jmenovatel"] = 8 },
["render"] = "\\frac{112959}{504}",
["typ"] = "cislo" },
["tex"] = "224\\frac{1}{8}",
["tex_float"] = "224{,}125",
["x"] = 224,
["y"] = 1,
["z"] = 8 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "13 + 4\\frac{1}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "13 + 4\\frac{1}{7} + 3\\frac{5}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{13 + 4\\frac{1}{7} + 3\\frac{5}{9}}{1\\frac{5}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{4} + 13",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{4} + 13)",
["typ"] = "zavorka" },
["render"] = "\\frac{13 + 4\\frac{1}{7} + 3\\frac{5}{9}}{1\\frac{5}{11}} \\cdot (2\\frac{3}{4} + 13)",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.76, bodu=122, $$\frac{\frac{2\frac{2}{8}}{-14} - (7 - (-11))}{1\frac{4}{11}}=\textcolor{white}{-13\frac{89}{280}}$$return {
["body"] = 122,
["id"] = "yxXEWo_1207_1516",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = -13.317857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3729,
["jmenovatel"] = 280 },
["render"] = "\\frac{-11187}{840}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{89}{280}",
["x"] = -13,
["y"] = 89,
["z"] = 280 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{8}}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "7 - (-11)",
["typ"] = "minus" },
["render"] = "(7 - (-11))",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{2}{8}}{-14} - (7 - (-11))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{2}{8}}{-14} - (7 - (-11))}{1\\frac{4}{11}}",
["typ"] = "lomeno" } }
seed: JPeEx7bbtYkCtEge0VWx_0.77, bodu=187, $$-14 \cdot (2\frac{2}{8} \cdot -16 + 4\frac{3}{10} + 4\frac{1}{4}) \cdot 1\frac{1}{8}=\textcolor{white}{432\frac{27}{80}}$$return {
["body"] = 187,
["id"] = "hQyjlf_1207_1516",
["obtiznost"] = 1.57,
["reseni"] = {
["float"] = 432.3375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 34587,
["jmenovatel"] = 80 },
["render"] = "\\frac{69174}{160}",
["typ"] = "cislo" },
["tex"] = "432\\frac{27}{80}",
["x"] = 432,
["y"] = 27,
["z"] = 80 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.77",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{8} \\cdot -16",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{10} + 4\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "2\\frac{2}{8} \\cdot -16 + 4\\frac{3}{10} + 4\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{8} \\cdot -16 + 4\\frac{3}{10} + 4\\frac{1}{4})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "(2\\frac{2}{8} \\cdot -16 + 4\\frac{3}{10} + 4\\frac{1}{4}) \\cdot 1\\frac{1}{8}",
["typ"] = "krat" },
["render"] = "-14 \\cdot (2\\frac{2}{8} \\cdot -16 + 4\\frac{3}{10} + 4\\frac{1}{4}) \\cdot 1\\frac{1}{8}",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.78, bodu=125, $$\frac{17 \cdot 4\frac{2}{3} + 10}{3\frac{1}{7} \cdot 15}=\textcolor{white}{1\frac{443}{495}}$$return {
["body"] = 125,
["id"] = "JXj8LM_1207_1516",
["obtiznost"] = 1.18,
["reseni"] = {
["float"] = 1.8949494949495,
["objekt"] = {
["hodnota"] = {
["citatel"] = 938,
["jmenovatel"] = 495 },
["render"] = "\\frac{1876}{990}",
["typ"] = "cislo" },
["tex"] = "1\\frac{443}{495}",
["x"] = 1,
["y"] = 443,
["z"] = 495 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "17 \\cdot 4\\frac{2}{3}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "17 \\cdot 4\\frac{2}{3} + 10",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{7} \\cdot 15",
["typ"] = "krat" },
["render"] = "\\frac{17 \\cdot 4\\frac{2}{3} + 10}{3\\frac{1}{7} \\cdot 15}",
["typ"] = "lomeno" } }
seed: JPeEx7bbtYkCtEge0VWx_0.79, bodu=129, $$(\frac{4}{-5})^2 + \frac{-18}{-15} - (1\frac{1}{9} + 1\frac{2}{4})=\textcolor{white}{-\frac{347}{450}}$$return {
["body"] = 129,
["id"] = "kIbGW4_1207_1516",
["obtiznost"] = 1.2064,
["reseni"] = {
["float"] = -0.77111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = -347,
["jmenovatel"] = 450 },
["render"] = "\\frac{-1735}{2250}",
["typ"] = "cislo" },
["tex"] = "-\\frac{347}{450}",
["y"] = -347,
["z"] = 450 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.79",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{4}{-5}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{4}{-5})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{-18}{-15}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{9} + 1\\frac{2}{4}",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{9} + 1\\frac{2}{4})",
["typ"] = "zavorka" },
["render"] = "\\frac{-18}{-15} - (1\\frac{1}{9} + 1\\frac{2}{4})",
["typ"] = "minus" },
["render"] = "(\\frac{4}{-5})^2 + \\frac{-18}{-15} - (1\\frac{1}{9} + 1\\frac{2}{4})",
["typ"] = "plus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.8, bodu=145, $$\frac{4\frac{2}{7}}{\frac{4\frac{4}{12}}{(9 + (-12))^2}} \cdot (\frac{14}{-9})^2=\textcolor{white}{21\frac{7}{13}}$$return {
["body"] = 145,
["id"] = "Mzmio5_1207_1516",
["obtiznost"] = 1.3148,
["reseni"] = {
["float"] = 21.538461538462,
["objekt"] = {
["hodnota"] = {
["citatel"] = 280,
["jmenovatel"] = 13 },
["render"] = "\\frac{158760}{7371}",
["typ"] = "cislo" },
["tex"] = "21\\frac{7}{13}",
["x"] = 21,
["y"] = 7,
["z"] = 13 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["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"] = 2,
["render"] = "(9 + (-12))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{4\\frac{4}{12}}{(9 + (-12))^2}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{2}{7}}{\\frac{4\\frac{4}{12}}{(9 + (-12))^2}}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{14}{-9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{14}{-9})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{4\\frac{2}{7}}{\\frac{4\\frac{4}{12}}{(9 + (-12))^2}} \\cdot (\\frac{14}{-9})^2",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.81, bodu=129, $$(-17 - 1\frac{1}{10} \cdot 2\frac{3}{9} \cdot 11) \cdot \frac{-16}{-15}=\textcolor{white}{-48\frac{56}{225}}$$return {
["body"] = 129,
["id"] = "I4xgjb_1207_1516",
["obtiznost"] = 1.21,
["reseni"] = {
["float"] = -48.248888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10856,
["jmenovatel"] = 225 },
["render"] = "\\frac{-21712}{450}",
["typ"] = "cislo" },
["tex"] = "-48\\frac{56}{225}",
["x"] = -48,
["y"] = 56,
["z"] = 225 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.81",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} \\cdot 11",
["typ"] = "krat" },
["render"] = "1\\frac{1}{10} \\cdot 2\\frac{3}{9} \\cdot 11",
["typ"] = "krat" },
["render"] = "-17 - 1\\frac{1}{10} \\cdot 2\\frac{3}{9} \\cdot 11",
["typ"] = "minus" },
["render"] = "(-17 - 1\\frac{1}{10} \\cdot 2\\frac{3}{9} \\cdot 11)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{-15}",
["typ"] = "lomeno" },
["render"] = "(-17 - 1\\frac{1}{10} \\cdot 2\\frac{3}{9} \\cdot 11) \\cdot \\frac{-16}{-15}",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.82, bodu=194, $$\frac{6 + 12 \cdot 2\frac{4}{5} - 2\frac{4}{10}}{4\frac{1}{9}} - (13 + 9)^2=\textcolor{white}{-474\frac{176}{185}}$$return {
["body"] = 194,
["id"] = "N9c8Nb_1207_1516",
["obtiznost"] = 1.614,
["reseni"] = {
["float"] = -474.95135135135,
["objekt"] = {
["hodnota"] = {
["citatel"] = -87866,
["jmenovatel"] = 185 },
["render"] = "\\frac{-87866}{185}",
["typ"] = "cislo" },
["tex"] = "-474\\frac{176}{185}",
["x"] = -474,
["y"] = 176,
["z"] = 185 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 2\\frac{4}{5}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 2\\frac{4}{5} - 2\\frac{4}{10}",
["typ"] = "minus" },
["render"] = "6 + 12 \\cdot 2\\frac{4}{5} - 2\\frac{4}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{6 + 12 \\cdot 2\\frac{4}{5} - 2\\frac{4}{10}}{4\\frac{1}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "13 + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(13 + 9)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{6 + 12 \\cdot 2\\frac{4}{5} - 2\\frac{4}{10}}{4\\frac{1}{9}} - (13 + 9)^2",
["typ"] = "minus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.83, bodu=163, $$(2\frac{5}{13} - 4\frac{3}{7}) \cdot \frac{-12}{-5} \cdot 3\frac{5}{9} + (-7)=\textcolor{white}{-24\frac{201}{455}}$$return {
["body"] = 163,
["id"] = "LkExjZ_1207_1516",
["obtiznost"] = 1.43,
["reseni"] = {
["float"] = -24.441758241758,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11121,
["jmenovatel"] = 455 },
["render"] = "\\frac{-11121}{455}",
["typ"] = "cislo" },
["tex"] = "-24\\frac{201}{455}",
["x"] = -24,
["y"] = 201,
["z"] = 455 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{13} - 4\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{13} - 4\\frac{3}{7})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{-5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{-5} \\cdot 3\\frac{5}{9}",
["typ"] = "krat" },
["render"] = "(2\\frac{5}{13} - 4\\frac{3}{7}) \\cdot \\frac{-12}{-5} \\cdot 3\\frac{5}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(2\\frac{5}{13} - 4\\frac{3}{7}) \\cdot \\frac{-12}{-5} \\cdot 3\\frac{5}{9} + (-7)",
["typ"] = "plus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.84, bodu=105, $$(-7 \cdot -8 - 5) \cdot (9 + 15 + 4\frac{5}{12} + 14 + (-8))=\textcolor{white}{1755{,}25}$$return {
["body"] = 105,
["id"] = "IvH7nP_1207_1516",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = 1755.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7021,
["jmenovatel"] = 4 },
["render"] = "\\frac{21063}{12}",
["typ"] = "cislo" },
["tex"] = "1755\\frac{1}{4}",
["tex_float"] = "1755{,}25",
["x"] = 1755,
["y"] = 1,
["z"] = 4 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.84",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-7 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-7 \\cdot -8 - 5",
["typ"] = "minus" },
["render"] = "(-7 \\cdot -8 - 5)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "9 + 15",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{12} + 14",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{12} + 14 + (-8)",
["typ"] = "plus" },
["render"] = "9 + 15 + 4\\frac{5}{12} + 14 + (-8)",
["typ"] = "plus" },
["render"] = "(9 + 15 + 4\\frac{5}{12} + 14 + (-8))",
["typ"] = "zavorka" },
["render"] = "(-7 \\cdot -8 - 5) \\cdot (9 + 15 + 4\\frac{5}{12} + 14 + (-8))",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.85, bodu=236, $$3\frac{3}{12} \cdot 3\frac{3}{13} \cdot 1\frac{5}{12} \cdot \frac{4\frac{2}{6}}{1\frac{3}{10}}=\textcolor{white}{49\frac{7}{12}}$$return {
["body"] = 236,
["id"] = "ijcCQe_1207_1516",
["obtiznost"] = 1.85,
["reseni"] = {
["float"] = 49.583333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 595,
["jmenovatel"] = 12 },
["render"] = "\\frac{7735}{156}",
["typ"] = "cislo" },
["tex"] = "49\\frac{7}{12}",
["x"] = 49,
["y"] = 7,
["z"] = 12 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.85",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 42,
["jmenovatel"] = 13 },
["render"] = "3\\frac{3}{13}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{6}}{1\\frac{3}{10}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{12} \\cdot \\frac{4\\frac{2}{6}}{1\\frac{3}{10}}",
["typ"] = "krat" },
["render"] = "3\\frac{3}{13} \\cdot 1\\frac{5}{12} \\cdot \\frac{4\\frac{2}{6}}{1\\frac{3}{10}}",
["typ"] = "krat" },
["render"] = "3\\frac{3}{12} \\cdot 3\\frac{3}{13} \\cdot 1\\frac{5}{12} \\cdot \\frac{4\\frac{2}{6}}{1\\frac{3}{10}}",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.86, bodu=202, $$1\frac{4}{12} \cdot (\frac{1\frac{2}{8}}{-20 + 4\frac{2}{7}} + (-19) + \frac{3\frac{2}{11}}{11})=\textcolor{white}{-25\frac{13}{242}}$$return {
["body"] = 202,
["id"] = "daAEoh_1207_1516",
["obtiznost"] = 1.66,
["reseni"] = {
["float"] = -25.053719008264,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6063,
["jmenovatel"] = 242 },
["render"] = "\\frac{-72756}{2904}",
["typ"] = "cislo" },
["tex"] = "-25\\frac{13}{242}",
["x"] = -25,
["y"] = 13,
["z"] = 242 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.86",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-20 + 4\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{2}{8}}{-20 + 4\\frac{2}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{8}}{-20 + 4\\frac{2}{7}} + (-19)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 11 },
["render"] = "3\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{11}}{11}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{2}{8}}{-20 + 4\\frac{2}{7}} + (-19) + \\frac{3\\frac{2}{11}}{11}",
["typ"] = "plus" },
["render"] = "(\\frac{1\\frac{2}{8}}{-20 + 4\\frac{2}{7}} + (-19) + \\frac{3\\frac{2}{11}}{11})",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{12} \\cdot (\\frac{1\\frac{2}{8}}{-20 + 4\\frac{2}{7}} + (-19) + \\frac{3\\frac{2}{11}}{11})",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.87, bodu=278, $$1\frac{5}{12} + 4\frac{1}{10} - 4\frac{1}{12} + (3\frac{1}{4} + 3\frac{5}{7}) \cdot -19 \cdot 4\frac{1}{11}=\textcolor{white}{-539\frac{4073}{4620}}$$return {
["body"] = 278,
["id"] = "g5KmhX_1207_1516",
["obtiznost"] = 2.07,
["reseni"] = {
["float"] = -539.8816017316,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2494253,
["jmenovatel"] = 4620 },
["render"] = "\\frac{-4988506}{9240}",
["typ"] = "cislo" },
["tex"] = "-539\\frac{4073}{4620}",
["x"] = -539,
["y"] = 4073,
["z"] = 4620 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 10 },
["render"] = "4\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} + 4\\frac{1}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 12 },
["render"] = "4\\frac{1}{12}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} + 4\\frac{1}{10} - 4\\frac{1}{12}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{4} + 3\\frac{5}{7}",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{4} + 3\\frac{5}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "(3\\frac{1}{4} + 3\\frac{5}{7}) \\cdot -19",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 11 },
["render"] = "4\\frac{1}{11}",
["typ"] = "cislo" },
["render"] = "(3\\frac{1}{4} + 3\\frac{5}{7}) \\cdot -19 \\cdot 4\\frac{1}{11}",
["typ"] = "krat" },
["render"] = "1\\frac{5}{12} + 4\\frac{1}{10} - 4\\frac{1}{12} + (3\\frac{1}{4} + 3\\frac{5}{7}) \\cdot -19 \\cdot 4\\frac{1}{11}",
["typ"] = "plus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.88, bodu=205, $$3\frac{5}{11} \cdot -6 + 8 + \frac{4\frac{2}{9}}{13} - 1\frac{1}{2} - 2\frac{4}{9}=\textcolor{white}{-16\frac{893}{2574}}$$return {
["body"] = 205,
["id"] = "OwQuv2_1207_1516",
["obtiznost"] = 1.68,
["reseni"] = {
["float"] = -16.346930846931,
["objekt"] = {
["hodnota"] = {
["citatel"] = -42077,
["jmenovatel"] = 2574 },
["render"] = "\\frac{-378693}{23166}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{893}{2574}",
["x"] = -16,
["y"] = 893,
["z"] = 2574 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} \\cdot -6 + 8",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{9}}{13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{9}}{13} - 1\\frac{1}{2}",
["typ"] = "minus" },
["render"] = "3\\frac{5}{11} \\cdot -6 + 8 + \\frac{4\\frac{2}{9}}{13} - 1\\frac{1}{2}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} \\cdot -6 + 8 + \\frac{4\\frac{2}{9}}{13} - 1\\frac{1}{2} - 2\\frac{4}{9}",
["typ"] = "minus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.89, bodu=112, $$13 \cdot 13 \cdot 18 \cdot (1\frac{3}{5} - (-15)) \cdot -19=\textcolor{white}{-959446{,}8}$$return {
["body"] = 112,
["id"] = "wmMskX_1207_1516",
["obtiznost"] = 1.09,
["reseni"] = {
["float"] = -959446.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4797234,
["jmenovatel"] = 5 },
["render"] = "\\frac{-4797234}{5}",
["typ"] = "cislo" },
["tex"] = "-959446\\frac{4}{5}",
["tex_float"] = "-959446{,}8",
["x"] = -959446,
["y"] = 4,
["z"] = 5 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "13 \\cdot 18",
["typ"] = "krat" },
["render"] = "13 \\cdot 13 \\cdot 18",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{5} - (-15)",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{5} - (-15))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "(1\\frac{3}{5} - (-15)) \\cdot -19",
["typ"] = "krat" },
["render"] = "13 \\cdot 13 \\cdot 18 \\cdot (1\\frac{3}{5} - (-15)) \\cdot -19",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.9, bodu=143, $$17 + \frac{4\frac{2}{9}}{1\frac{2}{12}} \cdot 5 + 5 + (-19 - 12)=\textcolor{white}{9\frac{2}{21}}$$return {
["body"] = 143,
["id"] = "a15wUF_1207_1516",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = 9.0952380952381,
["objekt"] = {
["hodnota"] = {
["citatel"] = 191,
["jmenovatel"] = 21 },
["render"] = "\\frac{191}{21}",
["typ"] = "cislo" },
["tex"] = "9\\frac{2}{21}",
["x"] = 9,
["y"] = 2,
["z"] = 21 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{2}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{9}}{1\\frac{2}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{9}}{1\\frac{2}{12}} \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{9}}{1\\frac{2}{12}} \\cdot 5 + 5",
["typ"] = "plus" },
["render"] = "17 + \\frac{4\\frac{2}{9}}{1\\frac{2}{12}} \\cdot 5 + 5",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-19 - 12",
["typ"] = "minus" },
["render"] = "17 + \\frac{4\\frac{2}{9}}{1\\frac{2}{12}} \\cdot 5 + 5 + (-19 - 12)",
["typ"] = "plus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.91, bodu=115, $$(-9 + 2\frac{5}{15} + (-16 \cdot -6)) \cdot (-20 \cdot -20 - (-17))=\textcolor{white}{37252}$$return {
["body"] = 115,
["id"] = "256ED3_1207_1516",
["obtiznost"] = 1.11,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 37252,
["jmenovatel"] = 1 },
["render"] = "\\frac{111756}{3}",
["typ"] = "cislo" },
["tex"] = "37252",
["tex_float"] = "37252",
["x"] = 37252 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.91",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{5}{15}",
["typ"] = "cislo" },
["render"] = "-9 + 2\\frac{5}{15}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-16 \\cdot -6",
["typ"] = "krat" },
["render"] = "-9 + 2\\frac{5}{15} + (-16 \\cdot -6)",
["typ"] = "plus" },
["render"] = "(-9 + 2\\frac{5}{15} + (-16 \\cdot -6))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "-20 \\cdot -20",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-20 \\cdot -20 - (-17)",
["typ"] = "minus" },
["render"] = "(-20 \\cdot -20 - (-17))",
["typ"] = "zavorka" },
["render"] = "(-9 + 2\\frac{5}{15} + (-16 \\cdot -6)) \\cdot (-20 \\cdot -20 - (-17))",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.92, bodu=178, $$\frac{-9}{2\frac{1}{7} + (-19)} \cdot (3\frac{1}{4} - 3\frac{2}{12} \cdot 17 + 19)=\textcolor{white}{-16\frac{407}{472}}$$return {
["body"] = 178,
["id"] = "cXbzfc_1207_1516",
["obtiznost"] = 1.52,
["reseni"] = {
["float"] = -16.862288135593,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7959,
["jmenovatel"] = 472 },
["render"] = "\\frac{-23877}{1416}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{407}{472}",
["x"] = -16,
["y"] = 407,
["z"] = 472 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{7} + (-19)",
["typ"] = "plus" },
["render"] = "\\frac{-9}{2\\frac{1}{7} + (-19)}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{2}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{12} \\cdot 17",
["typ"] = "krat" },
["render"] = "3\\frac{1}{4} - 3\\frac{2}{12} \\cdot 17",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{4} - 3\\frac{2}{12} \\cdot 17 + 19",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{4} - 3\\frac{2}{12} \\cdot 17 + 19)",
["typ"] = "zavorka" },
["render"] = "\\frac{-9}{2\\frac{1}{7} + (-19)} \\cdot (3\\frac{1}{4} - 3\\frac{2}{12} \\cdot 17 + 19)",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.93, bodu=219, $$\frac{-21 + (-14 + 20 - 3\frac{5}{9})^2}{1\frac{5}{6} - (3\frac{3}{14} - (-16))}=\textcolor{white}{\frac{8519}{9855}}$$return {
["body"] = 219,
["id"] = "AfnEDh_1207_1516",
["obtiznost"] = 1.756,
["reseni"] = {
["float"] = 0.86443429731101,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8519,
["jmenovatel"] = 9855 },
["render"] = "\\frac{-25557}{-29565}",
["typ"] = "cislo" },
["tex"] = "\\frac{8519}{9855}",
["y"] = 8519,
["z"] = 9855 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "20 - 3\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "-14 + 20 - 3\\frac{5}{9}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-14 + 20 - 3\\frac{5}{9})^2",
["typ"] = "mocnina" },
["render"] = "-21 + (-14 + 20 - 3\\frac{5}{9})^2",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 14 },
["render"] = "3\\frac{3}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{14} - (-16)",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{14} - (-16))",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{6} - (3\\frac{3}{14} - (-16))",
["typ"] = "minus" },
["render"] = "\\frac{-21 + (-14 + 20 - 3\\frac{5}{9})^2}{1\\frac{5}{6} - (3\\frac{3}{14} - (-16))}",
["typ"] = "lomeno" } }
seed: JPeEx7bbtYkCtEge0VWx_0.94, bodu=149, $$\frac{-14}{-11 + 1\frac{2}{14} + 12 \cdot (2\frac{5}{16} + 16) - (-9)}=\textcolor{white}{-\frac{392}{6129}}$$return {
["body"] = 149,
["id"] = "ixorX4_1207_1516",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = -0.063958231359112,
["objekt"] = {
["hodnota"] = {
["citatel"] = -392,
["jmenovatel"] = 6129 },
["render"] = "\\frac{-392}{6129}",
["typ"] = "cislo" },
["tex"] = "-\\frac{392}{6129}",
["y"] = -392,
["z"] = 6129 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.94",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{14}",
["typ"] = "cislo" },
["render"] = "-11 + 1\\frac{2}{14}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 16 },
["render"] = "2\\frac{5}{16}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{16} + 16",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{16} + 16)",
["typ"] = "zavorka" },
["render"] = "12 \\cdot (2\\frac{5}{16} + 16)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "12 \\cdot (2\\frac{5}{16} + 16) - (-9)",
["typ"] = "minus" },
["render"] = "-11 + 1\\frac{2}{14} + 12 \\cdot (2\\frac{5}{16} + 16) - (-9)",
["typ"] = "plus" },
["render"] = "\\frac{-14}{-11 + 1\\frac{2}{14} + 12 \\cdot (2\\frac{5}{16} + 16) - (-9)}",
["typ"] = "lomeno" } }
seed: JPeEx7bbtYkCtEge0VWx_0.95, bodu=151, $$-15 + \frac{-9 \cdot 19}{2\frac{1}{3} - (2\frac{3}{8} - (-16))}=\textcolor{white}{-4\frac{131}{385}}$$return {
["body"] = 151,
["id"] = "oNlsCc_1207_1516",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = -4.3402597402597,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1671,
["jmenovatel"] = 385 },
["render"] = "\\frac{-1671}{385}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{131}{385}",
["x"] = -4,
["y"] = 131,
["z"] = 385 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.95",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 19",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} - (-16)",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{8} - (-16))",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{3} - (2\\frac{3}{8} - (-16))",
["typ"] = "minus" },
["render"] = "\\frac{-9 \\cdot 19}{2\\frac{1}{3} - (2\\frac{3}{8} - (-16))}",
["typ"] = "lomeno" },
["render"] = "-15 + \\frac{-9 \\cdot 19}{2\\frac{1}{3} - (2\\frac{3}{8} - (-16))}",
["typ"] = "plus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.96, bodu=185, $$-12 \cdot \frac{1\frac{5}{12}}{\frac{2\frac{2}{8} - 18}{3\frac{5}{8}}} \cdot 10=\textcolor{white}{39\frac{8}{63}}$$return {
["body"] = 185,
["id"] = "weBhVz_1207_1516",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = 39.126984126984,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2465,
["jmenovatel"] = 63 },
["render"] = "\\frac{4930}{126}",
["typ"] = "cislo" },
["tex"] = "39\\frac{8}{63}",
["x"] = 39,
["y"] = 8,
["z"] = 63 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{8} - 18",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{8} - 18}{3\\frac{5}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{5}{12}}{\\frac{2\\frac{2}{8} - 18}{3\\frac{5}{8}}}",
["typ"] = "lomeno" },
["render"] = "-12 \\cdot \\frac{1\\frac{5}{12}}{\\frac{2\\frac{2}{8} - 18}{3\\frac{5}{8}}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-12 \\cdot \\frac{1\\frac{5}{12}}{\\frac{2\\frac{2}{8} - 18}{3\\frac{5}{8}}} \\cdot 10",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.97, bodu=124, $$\frac{-13}{-10} \cdot ((-12 - (-13))^3 - \frac{-12}{2\frac{1}{9}})=\textcolor{white}{8\frac{131}{190}}$$return {
["body"] = 124,
["id"] = "ZY6JMM_1207_1516",
["obtiznost"] = 1.1708,
["reseni"] = {
["float"] = 8.6894736842105,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1651,
["jmenovatel"] = 190 },
["render"] = "\\frac{1651}{190}",
["typ"] = "cislo" },
["tex"] = "8\\frac{131}{190}",
["x"] = 8,
["y"] = 131,
["z"] = 190 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-12 - (-13)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-12 - (-13))^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{2\\frac{1}{9}}",
["typ"] = "lomeno" },
["render"] = "(-12 - (-13))^3 - \\frac{-12}{2\\frac{1}{9}}",
["typ"] = "minus" },
["render"] = "((-12 - (-13))^3 - \\frac{-12}{2\\frac{1}{9}})",
["typ"] = "zavorka" },
["render"] = "\\frac{-13}{-10} \\cdot ((-12 - (-13))^3 - \\frac{-12}{2\\frac{1}{9}})",
["typ"] = "krat" } }
seed: JPeEx7bbtYkCtEge0VWx_0.98, bodu=192, $$4\frac{3}{9} \cdot -10 \cdot 3\frac{3}{7} + (-11 + (\frac{21}{-11})^2)=\textcolor{white}{-155\frac{785}{847}}$$return {
["body"] = 192,
["id"] = "mEFtdr_1207_1516",
["obtiznost"] = 1.6048,
["reseni"] = {
["float"] = -155.92680047226,
["objekt"] = {
["hodnota"] = {
["citatel"] = -132070,
["jmenovatel"] = 847 },
["render"] = "\\frac{-132070}{847}",
["typ"] = "cislo" },
["tex"] = "-155\\frac{785}{847}",
["x"] = -155,
["y"] = 785,
["z"] = 847 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} \\cdot -10 \\cdot 3\\frac{3}{7}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{21}{-11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{21}{-11})^2",
["typ"] = "mocnina" },
["render"] = "-11 + (\\frac{21}{-11})^2",
["typ"] = "plus" },
["render"] = "4\\frac{3}{9} \\cdot -10 \\cdot 3\\frac{3}{7} + (-11 + (\\frac{21}{-11})^2)",
["typ"] = "plus" } }
seed: JPeEx7bbtYkCtEge0VWx_0.99, bodu=225, $$\frac{17}{1\frac{2}{6} - (4\frac{1}{9} - 4\frac{3}{7})} \cdot (4 - 3\frac{4}{8})=\textcolor{white}{5\frac{31}{208}}$$return {
["body"] = 225,
["id"] = "pSwB5J_1207_1516",
["obtiznost"] = 1.79,
["reseni"] = {
["float"] = 5.1490384615385,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1071,
["jmenovatel"] = 208 },
["render"] = "\\frac{1071}{208}",
["typ"] = "cislo" },
["tex"] = "5\\frac{31}{208}",
["x"] = 5,
["y"] = 31,
["z"] = 208 },
["seed"] = "JPeEx7bbtYkCtEge0VWx_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{9} - 4\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "(4\\frac{1}{9} - 4\\frac{3}{7})",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{6} - (4\\frac{1}{9} - 4\\frac{3}{7})",
["typ"] = "minus" },
["render"] = "\\frac{17}{1\\frac{2}{6} - (4\\frac{1}{9} - 4\\frac{3}{7})}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "4 - 3\\frac{4}{8}",
["typ"] = "minus" },
["render"] = "(4 - 3\\frac{4}{8})",
["typ"] = "zavorka" },
["render"] = "\\frac{17}{1\\frac{2}{6} - (4\\frac{1}{9} - 4\\frac{3}{7})} \\cdot (4 - 3\\frac{4}{8})",
["typ"] = "krat" } }
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