- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: wzjCYlEnG3XTkMtnzjOn_0, bodu=5, $$-7 + (-6 + 7 \cdot 6)=\textcolor{white}{29}$$return {
["body"] = 5,
["id"] = "ssMjcH_0502_1606",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 1 },
["render"] = "\\frac{29}{1}",
["typ"] = "cislo" },
["tex"] = "29",
["tex_float"] = "29",
["x"] = 29 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 \\cdot 6",
["typ"] = "krat" },
["render"] = "-6 + 7 \\cdot 6",
["typ"] = "plus" },
["render"] = "-7 + (-6 + 7 \\cdot 6)",
["typ"] = "plus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.01, bodu=10, $$7 \cdot \frac{5}{5}=\textcolor{white}{7}$$return {
["body"] = 10,
["id"] = "jDXZc0_0502_1606",
["obtiznost"] = 0.01,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "\\frac{7}{1}",
["typ"] = "cislo" },
["tex"] = "7",
["tex_float"] = "7",
["x"] = 7 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.01",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{5}{5}",
["typ"] = "lomeno" },
["render"] = "7 \\cdot \\frac{5}{5}",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.02, bodu=10, $$\frac{5 \cdot 6}{8}=\textcolor{white}{3{,}75}$$return {
["body"] = 10,
["id"] = "VvJGxo_0502_1606",
["obtiznost"] = 0.02,
["reseni"] = {
["float"] = 3.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 4 },
["render"] = "\\frac{30}{8}",
["typ"] = "cislo" },
["tex"] = "3\\frac{3}{4}",
["tex_float"] = "3{,}75",
["x"] = 3,
["y"] = 3,
["z"] = 4 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.02",
["zadani"] = {
["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"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{5 \\cdot 6}{8}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.03, bodu=5, $$(9 + 7) \cdot 11 - 9=\textcolor{white}{167}$$return {
["body"] = 5,
["id"] = "jdgSnM_0502_1606",
["obtiznost"] = 0.03,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 167,
["jmenovatel"] = 1 },
["render"] = "\\frac{167}{1}",
["typ"] = "cislo" },
["tex"] = "167",
["tex_float"] = "167",
["x"] = 167 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.03",
["zadani"] = {
["c1"] = {
["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"] = "plus" },
["render"] = "(9 + 7)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(9 + 7) \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(9 + 7) \\cdot 11 - 9",
["typ"] = "minus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.04, bodu=20, $$4\frac{5}{7} - 9 \cdot (8 + 4)=\textcolor{white}{-103\frac{2}{7}}$$return {
["body"] = 20,
["id"] = "gOYhve_0502_1606",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = -103.28571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -723,
["jmenovatel"] = 7 },
["render"] = "\\frac{-723}{7}",
["typ"] = "cislo" },
["tex"] = "-103\\frac{2}{7}",
["x"] = -103,
["y"] = 2,
["z"] = 7 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["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"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "8 + 4",
["typ"] = "plus" },
["render"] = "(8 + 4)",
["typ"] = "zavorka" },
["render"] = "9 \\cdot (8 + 4)",
["typ"] = "krat" },
["render"] = "4\\frac{5}{7} - 9 \\cdot (8 + 4)",
["typ"] = "minus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.05, bodu=5, $$(9 - (5 + 7))^3 + 4 - (-11)=\textcolor{white}{-12}$$return {
["body"] = 5,
["id"] = "5o5jCj_0502_1606",
["obtiznost"] = 0.0612,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "\\frac{-12}{1}",
["typ"] = "cislo" },
["tex"] = "-12",
["x"] = -12 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "5 + 7",
["typ"] = "plus" },
["render"] = "(5 + 7)",
["typ"] = "zavorka" },
["render"] = "9 - (5 + 7)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(9 - (5 + 7))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(9 - (5 + 7))^3 + 4",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "(9 - (5 + 7))^3 + 4 - (-11)",
["typ"] = "minus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.06, bodu=49, $$((8 + 4 - 2\frac{2}{3})^2 + 10) \cdot 6=\textcolor{white}{582\frac{2}{3}}$$return {
["body"] = 49,
["id"] = "9hyoJb_0502_1606",
["obtiznost"] = 0.5772,
["reseni"] = {
["float"] = 582.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1748,
["jmenovatel"] = 3 },
["render"] = "\\frac{5244}{9}",
["typ"] = "cislo" },
["tex"] = "582\\frac{2}{3}",
["x"] = 582,
["y"] = 2,
["z"] = 3 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.06",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "8 + 4",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "8 + 4 - 2\\frac{2}{3}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(8 + 4 - 2\\frac{2}{3})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(8 + 4 - 2\\frac{2}{3})^2 + 10",
["typ"] = "plus" },
["render"] = "((8 + 4 - 2\\frac{2}{3})^2 + 10)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "((8 + 4 - 2\\frac{2}{3})^2 + 10) \\cdot 6",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.07, bodu=11, $$\frac{8}{9} \cdot 11=\textcolor{white}{9\frac{7}{9}}$$return {
["body"] = 11,
["id"] = "y2dxzD_0502_1606",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = 9.7777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 88,
["jmenovatel"] = 9 },
["render"] = "\\frac{88}{9}",
["typ"] = "cislo" },
["tex"] = "9\\frac{7}{9}",
["x"] = 9,
["y"] = 7,
["z"] = 9 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{8}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{8}{9} \\cdot 11",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.08, bodu=12, $$\frac{9}{-12} \cdot -4=\textcolor{white}{3}$$return {
["body"] = 12,
["id"] = "BbIpF2_0502_1606",
["obtiznost"] = 0.08,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "\\frac{12}{4}",
["typ"] = "cislo" },
["tex"] = "3",
["tex_float"] = "3",
["x"] = 3 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-12} \\cdot -4",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.09, bodu=14, $$(\frac{8}{5})^2 \cdot (6 - 7)=\textcolor{white}{-2{,}56}$$return {
["body"] = 14,
["id"] = "qVYDM2_0502_1606",
["obtiznost"] = 0.1256,
["reseni"] = {
["float"] = -2.56,
["objekt"] = {
["hodnota"] = {
["citatel"] = -64,
["jmenovatel"] = 25 },
["render"] = "\\frac{-64}{25}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{14}{25}",
["tex_float"] = "-2{,}56",
["x"] = -2,
["y"] = 14,
["z"] = 25 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.09",
["zadani"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(\\frac{8}{5})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 - 7",
["typ"] = "minus" },
["render"] = "(6 - 7)",
["typ"] = "zavorka" },
["render"] = "(\\frac{8}{5})^2 \\cdot (6 - 7)",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.1, bodu=6, $$6 + 7 - 6 \cdot -7=\textcolor{white}{55}$$return {
["body"] = 6,
["id"] = "IwgEzR_0502_1606",
["obtiznost"] = 0.1,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 55,
["jmenovatel"] = 1 },
["render"] = "\\frac{55}{1}",
["typ"] = "cislo" },
["tex"] = "55",
["tex_float"] = "55",
["x"] = 55 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.1",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["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"] = "7 - 6 \\cdot -7",
["typ"] = "minus" },
["render"] = "6 + 7 - 6 \\cdot -7",
["typ"] = "plus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.11, bodu=25, $$2\frac{3}{5} \cdot 6 + (-7 + 6)^3=\textcolor{white}{14{,}6}$$return {
["body"] = 25,
["id"] = "IOGw3m_0502_1606",
["obtiznost"] = 0.3108,
["reseni"] = {
["float"] = 14.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 73,
["jmenovatel"] = 5 },
["render"] = "\\frac{73}{5}",
["typ"] = "cislo" },
["tex"] = "14\\frac{3}{5}",
["tex_float"] = "14{,}6",
["x"] = 14,
["y"] = 3,
["z"] = 5 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.11",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{5} \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-7 + 6",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-7 + 6)^3",
["typ"] = "mocnina" },
["render"] = "2\\frac{3}{5} \\cdot 6 + (-7 + 6)^3",
["typ"] = "plus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.12, bodu=26, $$\frac{5}{6 + (-7)} - 4\frac{1}{3}=\textcolor{white}{-9\frac{1}{3}}$$return {
["body"] = 26,
["id"] = "nraAno_0502_1606",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = -9.3333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -28,
["jmenovatel"] = 3 },
["render"] = "\\frac{-28}{3}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{1}{3}",
["x"] = -9,
["y"] = 1,
["z"] = 3 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.12",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["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 + (-7)",
["typ"] = "plus" },
["render"] = "\\frac{5}{6 + (-7)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{5}{6 + (-7)} - 4\\frac{1}{3}",
["typ"] = "minus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.13, bodu=27, $$\frac{\frac{5}{2\frac{5}{9} + 12}}{4}=\textcolor{white}{\frac{45}{524}}$$return {
["body"] = 27,
["id"] = "bgqA3H_0502_1606",
["obtiznost"] = 0.33,
["reseni"] = {
["float"] = 0.08587786259542,
["objekt"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 524 },
["render"] = "\\frac{45}{524}",
["typ"] = "cislo" },
["tex"] = "\\frac{45}{524}",
["y"] = 45,
["z"] = 524 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{9} + 12",
["typ"] = "plus" },
["render"] = "\\frac{5}{2\\frac{5}{9} + 12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{5}{2\\frac{5}{9} + 12}}{4}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.14, bodu=45, $$3\frac{3}{5} - 3\frac{5}{6} + \frac{-6}{3}=\textcolor{white}{-2\frac{7}{30}}$$return {
["body"] = 45,
["id"] = "fEpZCc_0502_1606",
["obtiznost"] = 0.54,
["reseni"] = {
["float"] = -2.2333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -67,
["jmenovatel"] = 30 },
["render"] = "\\frac{-67}{30}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{7}{30}",
["x"] = -2,
["y"] = 7,
["z"] = 30 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.14",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 6 },
["render"] = "3\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{5} - 3\\frac{5}{6}",
["typ"] = "minus" },
["c2"] = {
["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" },
["render"] = "3\\frac{3}{5} - 3\\frac{5}{6} + \\frac{-6}{3}",
["typ"] = "plus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.15, bodu=15, $$\frac{-7 \cdot 9}{8}=\textcolor{white}{-7{,}875}$$return {
["body"] = 15,
["id"] = "fAblKN_0502_1606",
["obtiznost"] = 0.15,
["reseni"] = {
["float"] = -7.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -63,
["jmenovatel"] = 8 },
["render"] = "\\frac{-63}{8}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{7}{8}",
["tex_float"] = "-7{,}875",
["x"] = -7,
["y"] = 7,
["z"] = 8 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-7 \\cdot 9}{8}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.16, bodu=37, $$(\frac{\frac{8}{9}}{4})^3=\textcolor{white}{\frac{8}{729}}$$return {
["body"] = 37,
["id"] = "TTW6vw_0502_1606",
["obtiznost"] = 0.4548,
["reseni"] = {
["float"] = 0.010973936899863,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 729 },
["render"] = "\\frac{8}{729}",
["typ"] = "cislo" },
["tex"] = "\\frac{8}{729}",
["y"] = 8,
["z"] = 729 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.16",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{8}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{8}{9}}{4}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{\\frac{8}{9}}{4})^3",
["typ"] = "mocnina" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.17, bodu=8, $$9 \cdot 8 \cdot 6=\textcolor{white}{432}$$return {
["body"] = 8,
["id"] = "TVU1d0_0502_1606",
["obtiznost"] = 0.17,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 432,
["jmenovatel"] = 1 },
["render"] = "\\frac{432}{1}",
["typ"] = "cislo" },
["tex"] = "432",
["x"] = 432 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.17",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 \\cdot 6",
["typ"] = "krat" },
["render"] = "9 \\cdot 8 \\cdot 6",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.18, bodu=16, $$\frac{10}{\frac{8}{-10} + 11}=\textcolor{white}{\frac{50}{51}}$$return {
["body"] = 16,
["id"] = "KDWTKf_0502_1606",
["obtiznost"] = 0.18,
["reseni"] = {
["float"] = 0.98039215686275,
["objekt"] = {
["hodnota"] = {
["citatel"] = 50,
["jmenovatel"] = 51 },
["render"] = "\\frac{50}{51}",
["typ"] = "cislo" },
["tex"] = "\\frac{50}{51}",
["y"] = 50,
["z"] = 51 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-10} + 11",
["typ"] = "plus" },
["render"] = "\\frac{10}{\\frac{8}{-10} + 11}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.19, bodu=17, $$\frac{8}{5} + 4 - 9=\textcolor{white}{-3{,}4}$$return {
["body"] = 17,
["id"] = "GUHlyR_0502_1606",
["obtiznost"] = 0.19,
["reseni"] = {
["float"] = -3.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 5 },
["render"] = "\\frac{-17}{5}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{2}{5}",
["tex_float"] = "-3{,}4",
["x"] = -3,
["y"] = 2,
["z"] = 5 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.19",
["zadani"] = {
["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"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4 - 9",
["typ"] = "minus" },
["render"] = "\\frac{8}{5} + 4 - 9",
["typ"] = "plus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.2, bodu=18, $$-4 \cdot \frac{5}{10 + 9}=\textcolor{white}{-1\frac{1}{19}}$$return {
["body"] = 18,
["id"] = "Swb01n_0502_1606",
["obtiznost"] = 0.2,
["reseni"] = {
["float"] = -1.0526315789474,
["objekt"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 19 },
["render"] = "\\frac{-20}{19}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1}{19}",
["x"] = -1,
["y"] = 1,
["z"] = 19 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.2",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 + 9",
["typ"] = "plus" },
["render"] = "\\frac{5}{10 + 9}",
["typ"] = "lomeno" },
["render"] = "-4 \\cdot \\frac{5}{10 + 9}",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.21, bodu=42, $$(8 + 10)^2 + (\frac{-8}{10 + 9})^2=\textcolor{white}{324\frac{64}{361}}$$return {
["body"] = 42,
["id"] = "9WMuIv_0502_1606",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = 324.17728531856,
["objekt"] = {
["hodnota"] = {
["citatel"] = 117028,
["jmenovatel"] = 361 },
["render"] = "\\frac{117028}{361}",
["typ"] = "cislo" },
["tex"] = "324\\frac{64}{361}",
["x"] = 324,
["y"] = 64,
["z"] = 361 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.21",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 + 10",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(8 + 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 + 9",
["typ"] = "plus" },
["render"] = "\\frac{-8}{10 + 9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-8}{10 + 9})^2",
["typ"] = "mocnina" },
["render"] = "(8 + 10)^2 + (\\frac{-8}{10 + 9})^2",
["typ"] = "plus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.22, bodu=26, $$(\frac{5 + 7}{\frac{4 - (-2)}{8}})^2=\textcolor{white}{256}$$return {
["body"] = 26,
["id"] = "2VeBtA_0502_1606",
["obtiznost"] = 0.3228,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 256,
["jmenovatel"] = 1 },
["render"] = "\\frac{256}{1}",
["typ"] = "cislo" },
["tex"] = "256",
["x"] = 256 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.22",
["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"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "4 - (-2)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{4 - (-2)}{8}",
["typ"] = "lomeno" },
["render"] = "\\frac{5 + 7}{\\frac{4 - (-2)}{8}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{5 + 7}{\\frac{4 - (-2)}{8}})^2",
["typ"] = "mocnina" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.23, bodu=9, $$9 + 5 + (-5 \cdot 12) - 4=\textcolor{white}{-50}$$return {
["body"] = 9,
["id"] = "rPE2Pu_0502_1606",
["obtiznost"] = 0.23,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -50,
["jmenovatel"] = 1 },
["render"] = "\\frac{-50}{1}",
["typ"] = "cislo" },
["tex"] = "-50",
["x"] = -50 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.23",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 12",
["typ"] = "krat" },
["render"] = "5 + (-5 \\cdot 12)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "5 + (-5 \\cdot 12) - 4",
["typ"] = "minus" },
["render"] = "9 + 5 + (-5 \\cdot 12) - 4",
["typ"] = "plus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.24, bodu=20, $$(3 - 9) \cdot \frac{10}{9}=\textcolor{white}{-6\frac{2}{3}}$$return {
["body"] = 20,
["id"] = "a594XY_0502_1606",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = -6.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 3 },
["render"] = "\\frac{-60}{9}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{2}{3}",
["x"] = -6,
["y"] = 2,
["z"] = 3 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.24",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3 - 9",
["typ"] = "minus" },
["render"] = "(3 - 9)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{10}{9}",
["typ"] = "lomeno" },
["render"] = "(3 - 9) \\cdot \\frac{10}{9}",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.25, bodu=24, $$(3 + (-9 + (7 \cdot 4)^2)) \cdot 8=\textcolor{white}{6224}$$return {
["body"] = 24,
["id"] = "mF42Yc_0502_1606",
["obtiznost"] = 0.564,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 6224,
["jmenovatel"] = 1 },
["render"] = "\\frac{6224}{1}",
["typ"] = "cislo" },
["tex"] = "6224",
["tex_float"] = "6224",
["x"] = 6224 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.25",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "7 \\cdot 4",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(7 \\cdot 4)^2",
["typ"] = "mocnina" },
["render"] = "-9 + (7 \\cdot 4)^2",
["typ"] = "plus" },
["render"] = "3 + (-9 + (7 \\cdot 4)^2)",
["typ"] = "plus" },
["render"] = "(3 + (-9 + (7 \\cdot 4)^2))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(3 + (-9 + (7 \\cdot 4)^2)) \\cdot 8",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.26, bodu=18, $$(6 + 9)^2 - ((13 - 11)^2 - 8)^4=\textcolor{white}{-31}$$return {
["body"] = 18,
["id"] = "uXhVbC_0502_1606",
["obtiznost"] = 0.4552,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -31,
["jmenovatel"] = 1 },
["render"] = "\\frac{-31}{1}",
["typ"] = "cislo" },
["tex"] = "-31",
["tex_float"] = "-31",
["x"] = -31 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.26",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "6 + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(6 + 9)^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(13 - 11)^2 - 8",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "((13 - 11)^2 - 8)^4",
["typ"] = "mocnina" },
["render"] = "(6 + 9)^2 - ((13 - 11)^2 - 8)^4",
["typ"] = "minus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.27, bodu=73, $$1\frac{3}{7} \cdot (\frac{9}{(6 - 8)^2})^3=\textcolor{white}{16\frac{61}{224}}$$return {
["body"] = 73,
["id"] = "MzGucE_0502_1606",
["obtiznost"] = 0.7892,
["reseni"] = {
["float"] = 16.272321428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3645,
["jmenovatel"] = 224 },
["render"] = "\\frac{7290}{448}",
["typ"] = "cislo" },
["tex"] = "16\\frac{61}{224}",
["x"] = 16,
["y"] = 61,
["z"] = 224 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.27",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 - 8",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(6 - 8)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{9}{(6 - 8)^2}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{9}{(6 - 8)^2})^3",
["typ"] = "mocnina" },
["render"] = "1\\frac{3}{7} \\cdot (\\frac{9}{(6 - 8)^2})^3",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.28, bodu=39, $$\frac{6 - 4\frac{2}{4}}{5 \cdot 12}=\textcolor{white}{0{,}025}$$return {
["body"] = 39,
["id"] = "pN4DZj_0502_1606",
["obtiznost"] = 0.48,
["reseni"] = {
["float"] = 0.025,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 40 },
["render"] = "\\frac{3}{120}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{40}",
["tex_float"] = "0{,}025",
["y"] = 1,
["z"] = 40 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "6 - 4\\frac{2}{4}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "5 \\cdot 12",
["typ"] = "krat" },
["render"] = "\\frac{6 - 4\\frac{2}{4}}{5 \\cdot 12}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.29, bodu=85, $$\frac{3\frac{4}{8}}{-11 - 1\frac{3}{8} \cdot 4\frac{2}{5}}=\textcolor{white}{-\frac{70}{341}}$$return {
["body"] = 85,
["id"] = "tjZRHu_0502_1606",
["obtiznost"] = 0.89,
["reseni"] = {
["float"] = -0.20527859237537,
["objekt"] = {
["hodnota"] = {
["citatel"] = -70,
["jmenovatel"] = 341 },
["render"] = "\\frac{140}{-682}",
["typ"] = "cislo" },
["tex"] = "-\\frac{70}{341}",
["y"] = -70,
["z"] = 341 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.29",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} \\cdot 4\\frac{2}{5}",
["typ"] = "krat" },
["render"] = "-11 - 1\\frac{3}{8} \\cdot 4\\frac{2}{5}",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{4}{8}}{-11 - 1\\frac{3}{8} \\cdot 4\\frac{2}{5}}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.3, bodu=41, $$-11 \cdot (10 + 1\frac{3}{6}) \cdot (7 + (-13))=\textcolor{white}{759}$$return {
["body"] = 41,
["id"] = "eXeeo9_0502_1606",
["obtiznost"] = 0.5,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 759,
["jmenovatel"] = 1 },
["render"] = "\\frac{759}{1}",
["typ"] = "cislo" },
["tex"] = "759",
["tex_float"] = "759",
["x"] = 759 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.3",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "10 + 1\\frac{3}{6}",
["typ"] = "plus" },
["render"] = "(10 + 1\\frac{3}{6})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "7 + (-13)",
["typ"] = "plus" },
["render"] = "(7 + (-13))",
["typ"] = "zavorka" },
["render"] = "(10 + 1\\frac{3}{6}) \\cdot (7 + (-13))",
["typ"] = "krat" },
["render"] = "-11 \\cdot (10 + 1\\frac{3}{6}) \\cdot (7 + (-13))",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.31, bodu=42, $$\frac{7}{4} \cdot 3\frac{3}{7} \cdot 6=\textcolor{white}{36}$$return {
["body"] = 42,
["id"] = "8vBKWl_0502_1606",
["obtiznost"] = 0.51,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 1 },
["render"] = "\\frac{1008}{28}",
["typ"] = "cislo" },
["tex"] = "36",
["tex_float"] = "36",
["x"] = 36 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{7}{4}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{7} \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{7}{4} \\cdot 3\\frac{3}{7} \\cdot 6",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.32, bodu=43, $$8 + 4 - \frac{-11}{-5} - 4\frac{5}{7}=\textcolor{white}{5\frac{3}{35}}$$return {
["body"] = 43,
["id"] = "UNq83Q_0502_1606",
["obtiznost"] = 0.52,
["reseni"] = {
["float"] = 5.0857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 178,
["jmenovatel"] = 35 },
["render"] = "\\frac{178}{35}",
["typ"] = "cislo" },
["tex"] = "5\\frac{3}{35}",
["x"] = 5,
["y"] = 3,
["z"] = 35 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "8 + 4",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{-5}",
["typ"] = "lomeno" },
["render"] = "8 + 4 - \\frac{-11}{-5}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "8 + 4 - \\frac{-11}{-5} - 4\\frac{5}{7}",
["typ"] = "minus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.33, bodu=27, $$\frac{(\frac{-5}{10})^2}{-6 + 12}=\textcolor{white}{\frac{1}{24}}$$return {
["body"] = 27,
["id"] = "91er9S_0502_1606",
["obtiznost"] = 0.332,
["reseni"] = {
["float"] = 0.041666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 24 },
["render"] = "\\frac{1}{24}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{24}",
["y"] = 1,
["z"] = 24 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.33",
["zadani"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(\\frac{-5}{10})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-6 + 12",
["typ"] = "plus" },
["render"] = "\\frac{(\\frac{-5}{10})^2}{-6 + 12}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.34, bodu=45, $$7 - (-8) - \frac{1\frac{5}{10}}{10}=\textcolor{white}{14{,}85}$$return {
["body"] = 45,
["id"] = "DJAn0r_0502_1606",
["obtiznost"] = 0.54,
["reseni"] = {
["float"] = 14.85,
["objekt"] = {
["hodnota"] = {
["citatel"] = 297,
["jmenovatel"] = 20 },
["render"] = "\\frac{297}{20}",
["typ"] = "cislo" },
["tex"] = "14\\frac{17}{20}",
["tex_float"] = "14{,}85",
["x"] = 14,
["y"] = 17,
["z"] = 20 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "7 - (-8)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{10}}{10}",
["typ"] = "lomeno" },
["render"] = "7 - (-8) - \\frac{1\\frac{5}{10}}{10}",
["typ"] = "minus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.35, bodu=14, $$-4 + 6 + (-6 \cdot (12 + (-13))^2)=\textcolor{white}{-4}$$return {
["body"] = 14,
["id"] = "S9Nsms_0502_1606",
["obtiznost"] = 0.3508,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "\\frac{-4}{1}",
["typ"] = "cislo" },
["tex"] = "-4",
["tex_float"] = "-4",
["x"] = -4 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.35",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["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"] = "plus" },
["mocnitel"] = 2,
["render"] = "(12 + (-13))^2",
["typ"] = "mocnina" },
["render"] = "-6 \\cdot (12 + (-13))^2",
["typ"] = "krat" },
["render"] = "6 + (-6 \\cdot (12 + (-13))^2)",
["typ"] = "plus" },
["render"] = "-4 + 6 + (-6 \\cdot (12 + (-13))^2)",
["typ"] = "plus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.36, bodu=14, $$8 \cdot -6 \cdot 6 \cdot 12=\textcolor{white}{-3456}$$return {
["body"] = 14,
["id"] = "hTMqoX_0502_1606",
["obtiznost"] = 0.36,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -3456,
["jmenovatel"] = 1 },
["render"] = "\\frac{-3456}{1}",
["typ"] = "cislo" },
["tex"] = "-3456",
["tex_float"] = "-3456",
["x"] = -3456 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.36",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 6 \\cdot 12",
["typ"] = "krat" },
["render"] = "8 \\cdot -6 \\cdot 6 \\cdot 12",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.37, bodu=48, $$\frac{3}{15} + 3\frac{4}{8} \cdot 9=\textcolor{white}{31{,}7}$$return {
["body"] = 48,
["id"] = "wB4Hp1_0502_1606",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = 31.7,
["objekt"] = {
["hodnota"] = {
["citatel"] = 317,
["jmenovatel"] = 10 },
["render"] = "\\frac{317}{10}",
["typ"] = "cislo" },
["tex"] = "31\\frac{7}{10}",
["tex_float"] = "31{,}7",
["x"] = 31,
["y"] = 7,
["z"] = 10 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{3}{15}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{3}{15} + 3\\frac{4}{8} \\cdot 9",
["typ"] = "plus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.38, bodu=49, $$\frac{-14}{12 \cdot (4\frac{4}{6} + 13)}=\textcolor{white}{-\frac{7}{106}}$$return {
["body"] = 49,
["id"] = "es9xkh_0502_1606",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = -0.066037735849057,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 106 },
["render"] = "\\frac{-14}{212}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{106}",
["y"] = -7,
["z"] = 106 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.38",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{6} + 13",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{6} + 13)",
["typ"] = "zavorka" },
["render"] = "12 \\cdot (4\\frac{4}{6} + 13)",
["typ"] = "krat" },
["render"] = "\\frac{-14}{12 \\cdot (4\\frac{4}{6} + 13)}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.39, bodu=79, $$(4 + 7)^2 - (2\frac{3}{7} - 6 + 1\frac{3}{9})=\textcolor{white}{123\frac{5}{21}}$$return {
["body"] = 79,
["id"] = "MyjE1C_0502_1606",
["obtiznost"] = 0.8388,
["reseni"] = {
["float"] = 123.2380952381,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2588,
["jmenovatel"] = 21 },
["render"] = "\\frac{2588}{21}",
["typ"] = "cislo" },
["tex"] = "123\\frac{5}{21}",
["x"] = 123,
["y"] = 5,
["z"] = 21 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.39",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4 + 7",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(4 + 7)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{7} - 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{7} - 6 + 1\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{7} - 6 + 1\\frac{3}{9})",
["typ"] = "zavorka" },
["render"] = "(4 + 7)^2 - (2\\frac{3}{7} - 6 + 1\\frac{3}{9})",
["typ"] = "minus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.4, bodu=100, $$12 - (11 - (3\frac{2}{9} + (-8)) + \frac{3\frac{4}{8}}{3\frac{1}{6}})=\textcolor{white}{-4\frac{151}{171}}$$return {
["body"] = 100,
["id"] = "DlMClB_0502_1606",
["obtiznost"] = 1,
["reseni"] = {
["float"] = -4.8830409356725,
["objekt"] = {
["hodnota"] = {
["citatel"] = -835,
["jmenovatel"] = 171 },
["render"] = "\\frac{-835}{171}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{151}{171}",
["x"] = -4,
["y"] = 151,
["z"] = 171 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.4",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{9} + (-8)",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{9} + (-8))",
["typ"] = "zavorka" },
["render"] = "11 - (3\\frac{2}{9} + (-8))",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{8}}{3\\frac{1}{6}}",
["typ"] = "lomeno" },
["render"] = "11 - (3\\frac{2}{9} + (-8)) + \\frac{3\\frac{4}{8}}{3\\frac{1}{6}}",
["typ"] = "plus" },
["render"] = "(11 - (3\\frac{2}{9} + (-8)) + \\frac{3\\frac{4}{8}}{3\\frac{1}{6}})",
["typ"] = "zavorka" },
["render"] = "12 - (11 - (3\\frac{2}{9} + (-8)) + \\frac{3\\frac{4}{8}}{3\\frac{1}{6}})",
["typ"] = "minus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.41, bodu=33, $$\frac{9}{-11 \cdot 7} - (-10 - 9)=\textcolor{white}{18\frac{68}{77}}$$return {
["body"] = 33,
["id"] = "6dfQGr_0502_1606",
["obtiznost"] = 0.41,
["reseni"] = {
["float"] = 18.883116883117,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1454,
["jmenovatel"] = 77 },
["render"] = "\\frac{1454}{77}",
["typ"] = "cislo" },
["tex"] = "18\\frac{68}{77}",
["x"] = 18,
["y"] = 68,
["z"] = 77 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 7",
["typ"] = "krat" },
["render"] = "\\frac{9}{-11 \\cdot 7}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-10 - 9",
["typ"] = "minus" },
["render"] = "(-10 - 9)",
["typ"] = "zavorka" },
["render"] = "\\frac{9}{-11 \\cdot 7} - (-10 - 9)",
["typ"] = "minus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.42, bodu=72, $$-8 \cdot ((2 \cdot \frac{-14}{11})^2 - (-16))=\textcolor{white}{-179\frac{101}{121}}$$return {
["body"] = 72,
["id"] = "hir8Zq_0502_1606",
["obtiznost"] = 0.782,
["reseni"] = {
["float"] = -179.8347107438,
["objekt"] = {
["hodnota"] = {
["citatel"] = -21760,
["jmenovatel"] = 121 },
["render"] = "\\frac{-21760}{121}",
["typ"] = "cislo" },
["tex"] = "-179\\frac{101}{121}",
["x"] = -179,
["y"] = 101,
["z"] = 121 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.42",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{11}",
["typ"] = "lomeno" },
["render"] = "2 \\cdot \\frac{-14}{11}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(2 \\cdot \\frac{-14}{11})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "(2 \\cdot \\frac{-14}{11})^2 - (-16)",
["typ"] = "minus" },
["render"] = "((2 \\cdot \\frac{-14}{11})^2 - (-16))",
["typ"] = "zavorka" },
["render"] = "-8 \\cdot ((2 \\cdot \\frac{-14}{11})^2 - (-16))",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.43, bodu=87, $$9 + (\frac{-10 + 13 + 1\frac{4}{9}}{2\frac{4}{9} - 6})^3=\textcolor{white}{7\frac{3}{64}}$$return {
["body"] = 87,
["id"] = "roNdeP_0502_1606",
["obtiznost"] = 0.9056,
["reseni"] = {
["float"] = 7.046875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 451,
["jmenovatel"] = 64 },
["render"] = "\\frac{451}{64}",
["typ"] = "cislo" },
["tex"] = "7\\frac{3}{64}",
["x"] = 7,
["y"] = 3,
["z"] = 64 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.43",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "13 + 1\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "-10 + 13 + 1\\frac{4}{9}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} - 6",
["typ"] = "minus" },
["render"] = "\\frac{-10 + 13 + 1\\frac{4}{9}}{2\\frac{4}{9} - 6}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-10 + 13 + 1\\frac{4}{9}}{2\\frac{4}{9} - 6})^3",
["typ"] = "mocnina" },
["render"] = "9 + (\\frac{-10 + 13 + 1\\frac{4}{9}}{2\\frac{4}{9} - 6})^3",
["typ"] = "plus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.44, bodu=88, $$(\frac{\frac{-15 \cdot 7}{-8}}{4\frac{1}{5}})^2=\textcolor{white}{9\frac{49}{64}}$$return {
["body"] = 88,
["id"] = "MXSa2s_0502_1606",
["obtiznost"] = 0.9156,
["reseni"] = {
["float"] = 9.765625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 625,
["jmenovatel"] = 64 },
["render"] = "\\frac{625}{64}",
["typ"] = "cislo" },
["tex"] = "9\\frac{49}{64}",
["x"] = 9,
["y"] = 49,
["z"] = 64 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.44",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-15 \\cdot 7}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-15 \\cdot 7}{-8}}{4\\frac{1}{5}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{\\frac{-15 \\cdot 7}{-8}}{4\\frac{1}{5}})^2",
["typ"] = "mocnina" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.45, bodu=61, $$4\frac{1}{5} \cdot (-9 - (2 + \frac{-9}{9})^4)^2=\textcolor{white}{420}$$return {
["body"] = 61,
["id"] = "sX9frK_0502_1606",
["obtiznost"] = 0.6912,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 420,
["jmenovatel"] = 1 },
["render"] = "\\frac{2100}{5}",
["typ"] = "cislo" },
["tex"] = "420",
["tex_float"] = "420",
["x"] = 420 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.45",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{9}",
["typ"] = "lomeno" },
["render"] = "2 + \\frac{-9}{9}",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(2 + \\frac{-9}{9})^4",
["typ"] = "mocnina" },
["render"] = "-9 - (2 + \\frac{-9}{9})^4",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-9 - (2 + \\frac{-9}{9})^4)^2",
["typ"] = "mocnina" },
["render"] = "4\\frac{1}{5} \\cdot (-9 - (2 + \\frac{-9}{9})^4)^2",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.46, bodu=69, $$(10 \cdot 14 - (13 - 1\frac{2}{3}) \cdot 12)^4=\textcolor{white}{256}$$return {
["body"] = 69,
["id"] = "GC8sbM_0502_1606",
["obtiznost"] = 0.7628,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 256,
["jmenovatel"] = 1 },
["render"] = "\\frac{256}{1}",
["typ"] = "cislo" },
["tex"] = "256",
["tex_float"] = "256",
["x"] = 256 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.46",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "10 \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "13 - 1\\frac{2}{3}",
["typ"] = "minus" },
["render"] = "(13 - 1\\frac{2}{3})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(13 - 1\\frac{2}{3}) \\cdot 12",
["typ"] = "krat" },
["render"] = "10 \\cdot 14 - (13 - 1\\frac{2}{3}) \\cdot 12",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(10 \\cdot 14 - (13 - 1\\frac{2}{3}) \\cdot 12)^4",
["typ"] = "mocnina" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.47, bodu=38, $$\frac{-10 - (-13 + 9)}{-14 - 12}=\textcolor{white}{\frac{3}{13}}$$return {
["body"] = 38,
["id"] = "0QdpYs_0502_1606",
["obtiznost"] = 0.47,
["reseni"] = {
["float"] = 0.23076923076923,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 13 },
["render"] = "\\frac{-6}{-26}",
["typ"] = "cislo" },
["tex"] = "\\frac{3}{13}",
["y"] = 3,
["z"] = 13 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["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" },
["render"] = "(-13 + 9)",
["typ"] = "zavorka" },
["render"] = "-10 - (-13 + 9)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-14 - 12",
["typ"] = "minus" },
["render"] = "\\frac{-10 - (-13 + 9)}{-14 - 12}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.48, bodu=39, $$12 \cdot \frac{-14}{-5} \cdot 9=\textcolor{white}{302{,}4}$$return {
["body"] = 39,
["id"] = "Yh5Vec_0502_1606",
["obtiznost"] = 0.48,
["reseni"] = {
["float"] = 302.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1512,
["jmenovatel"] = 5 },
["render"] = "\\frac{1512}{5}",
["typ"] = "cislo" },
["tex"] = "302\\frac{2}{5}",
["tex_float"] = "302{,}4",
["x"] = 302,
["y"] = 2,
["z"] = 5 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{-5}",
["typ"] = "lomeno" },
["render"] = "12 \\cdot \\frac{-14}{-5}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "12 \\cdot \\frac{-14}{-5} \\cdot 9",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.49, bodu=85, $$\frac{-7 - (10 + 1\frac{1}{9})}{8 - 2\frac{5}{9}}=\textcolor{white}{-3\frac{16}{49}}$$return {
["body"] = 85,
["id"] = "5dGgrB_0502_1606",
["obtiznost"] = 0.89,
["reseni"] = {
["float"] = -3.3265306122449,
["objekt"] = {
["hodnota"] = {
["citatel"] = -163,
["jmenovatel"] = 49 },
["render"] = "\\frac{-1467}{441}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{16}{49}",
["x"] = -3,
["y"] = 16,
["z"] = 49 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "10 + 1\\frac{1}{9}",
["typ"] = "plus" },
["render"] = "(10 + 1\\frac{1}{9})",
["typ"] = "zavorka" },
["render"] = "-7 - (10 + 1\\frac{1}{9})",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "8 - 2\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "\\frac{-7 - (10 + 1\\frac{1}{9})}{8 - 2\\frac{5}{9}}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.5, bodu=86, $$\frac{-12}{\frac{\frac{1\frac{5}{7}}{11}}{4\frac{2}{6}}}=\textcolor{white}{-333\frac{2}{3}}$$return {
["body"] = 86,
["id"] = "BxmHvi_0502_1606",
["obtiznost"] = 0.9,
["reseni"] = {
["float"] = -333.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1001,
["jmenovatel"] = 3 },
["render"] = "\\frac{-12012}{36}",
["typ"] = "cislo" },
["tex"] = "-333\\frac{2}{3}",
["x"] = -333,
["y"] = 2,
["z"] = 3 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.5",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{7}}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{5}{7}}{11}}{4\\frac{2}{6}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-12}{\\frac{\\frac{1\\frac{5}{7}}{11}}{4\\frac{2}{6}}}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.51, bodu=88, $$\frac{-13 + 4\frac{4}{11}}{\frac{2\frac{4}{6} \cdot 15}{-7}}=\textcolor{white}{1\frac{45}{88}}$$return {
["body"] = 88,
["id"] = "YPhrqC_0502_1606",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = 1.5113636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = 133,
["jmenovatel"] = 88 },
["render"] = "\\frac{-665}{-440}",
["typ"] = "cislo" },
["tex"] = "1\\frac{45}{88}",
["x"] = 1,
["y"] = 45,
["z"] = 88 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "-13 + 4\\frac{4}{11}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{6} \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{6} \\cdot 15}{-7}",
["typ"] = "lomeno" },
["render"] = "\\frac{-13 + 4\\frac{4}{11}}{\\frac{2\\frac{4}{6} \\cdot 15}{-7}}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.52, bodu=89, $$4\frac{2}{3} + 9 + 2\frac{3}{7} + 7 - (-15) - 7=\textcolor{white}{31\frac{2}{21}}$$return {
["body"] = 89,
["id"] = "EjTYbf_0502_1606",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = 31.095238095238,
["objekt"] = {
["hodnota"] = {
["citatel"] = 653,
["jmenovatel"] = 21 },
["render"] = "\\frac{653}{21}",
["typ"] = "cislo" },
["tex"] = "31\\frac{2}{21}",
["x"] = 31,
["y"] = 2,
["z"] = 21 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{3} + 9",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{7} + 7",
["typ"] = "plus" },
["render"] = "4\\frac{2}{3} + 9 + 2\\frac{3}{7} + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{3} + 9 + 2\\frac{3}{7} + 7 - (-15)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{3} + 9 + 2\\frac{3}{7} + 7 - (-15) - 7",
["typ"] = "minus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.53, bodu=66, $$\frac{9 + 3\frac{5}{8}}{(12 + 16) \cdot -5}=\textcolor{white}{-\frac{101}{1120}}$$return {
["body"] = 66,
["id"] = "RAMX2w_0502_1606",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = -0.090178571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -101,
["jmenovatel"] = 1120 },
["render"] = "\\frac{101}{-1120}",
["typ"] = "cislo" },
["tex"] = "-\\frac{101}{1120}",
["y"] = -101,
["z"] = 1120 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "9 + 3\\frac{5}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "12 + 16",
["typ"] = "plus" },
["render"] = "(12 + 16)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "(12 + 16) \\cdot -5",
["typ"] = "krat" },
["render"] = "\\frac{9 + 3\\frac{5}{8}}{(12 + 16) \\cdot -5}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.54, bodu=78, $$\frac{15 \cdot -11}{9} \cdot (1\frac{5}{10} + 6)^2=\textcolor{white}{-1031{,}25}$$return {
["body"] = 78,
["id"] = "cTDIeQ_0502_1606",
["obtiznost"] = 0.8316,
["reseni"] = {
["float"] = -1031.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4125,
["jmenovatel"] = 4 },
["render"] = "\\frac{-12375}{12}",
["typ"] = "cislo" },
["tex"] = "-1031\\frac{1}{4}",
["tex_float"] = "-1031{,}25",
["x"] = -1031,
["y"] = 1,
["z"] = 4 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "15 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{15 \\cdot -11}{9}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} + 6",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{5}{10} + 6)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{15 \\cdot -11}{9} \\cdot (1\\frac{5}{10} + 6)^2",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.55, bodu=68, $$\frac{7 \cdot \frac{4\frac{5}{11}}{-9}}{9 + 5}=\textcolor{white}{-\frac{49}{198}}$$return {
["body"] = 68,
["id"] = "uTz6v4_0502_1606",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = -0.24747474747475,
["objekt"] = {
["hodnota"] = {
["citatel"] = -49,
["jmenovatel"] = 198 },
["render"] = "\\frac{-343}{1386}",
["typ"] = "cislo" },
["tex"] = "-\\frac{49}{198}",
["y"] = -49,
["z"] = 198 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{11}}{-9}",
["typ"] = "lomeno" },
["render"] = "7 \\cdot \\frac{4\\frac{5}{11}}{-9}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "9 + 5",
["typ"] = "plus" },
["render"] = "\\frac{7 \\cdot \\frac{4\\frac{5}{11}}{-9}}{9 + 5}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.56, bodu=104, $$\frac{5}{\frac{-8}{(12 - (11 + 4\frac{4}{7}))^2}}=\textcolor{white}{-7\frac{381}{392}}$$return {
["body"] = 104,
["id"] = "SVKrNJ_0502_1606",
["obtiznost"] = 1.0296,
["reseni"] = {
["float"] = -7.9719387755102,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3125,
["jmenovatel"] = 392 },
["render"] = "\\frac{3125}{-392}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{381}{392}",
["x"] = -7,
["y"] = 381,
["z"] = 392 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.56",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "11 + 4\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "(11 + 4\\frac{4}{7})",
["typ"] = "zavorka" },
["render"] = "12 - (11 + 4\\frac{4}{7})",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(12 - (11 + 4\\frac{4}{7}))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-8}{(12 - (11 + 4\\frac{4}{7}))^2}",
["typ"] = "lomeno" },
["render"] = "\\frac{5}{\\frac{-8}{(12 - (11 + 4\\frac{4}{7}))^2}}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.57, bodu=48, $$\frac{-15}{\frac{9}{(8 - 10)^2} - 4}=\textcolor{white}{8\frac{4}{7}}$$return {
["body"] = 48,
["id"] = "9huBWj_0502_1606",
["obtiznost"] = 0.572,
["reseni"] = {
["float"] = 8.5714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 60,
["jmenovatel"] = 7 },
["render"] = "\\frac{-60}{-7}",
["typ"] = "cislo" },
["tex"] = "8\\frac{4}{7}",
["x"] = 8,
["y"] = 4,
["z"] = 7 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.57",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 - 10",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(8 - 10)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{9}{(8 - 10)^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{9}{(8 - 10)^2} - 4",
["typ"] = "minus" },
["render"] = "\\frac{-15}{\\frac{9}{(8 - 10)^2} - 4}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.58, bodu=71, $$(-7 + 14) \cdot 1\frac{4}{12} \cdot 5 \cdot 13=\textcolor{white}{606\frac{2}{3}}$$return {
["body"] = 71,
["id"] = "4xaHiW_0502_1606",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = 606.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1820,
["jmenovatel"] = 3 },
["render"] = "\\frac{1820}{3}",
["typ"] = "cislo" },
["tex"] = "606\\frac{2}{3}",
["x"] = 606,
["y"] = 2,
["z"] = 3 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-7 + 14",
["typ"] = "plus" },
["render"] = "(-7 + 14)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "(-7 + 14) \\cdot 1\\frac{4}{12}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(-7 + 14) \\cdot 1\\frac{4}{12} \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(-7 + 14) \\cdot 1\\frac{4}{12} \\cdot 5 \\cdot 13",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.59, bodu=104, $$((12 - 7)^2 + 1\frac{4}{9} + (-10)) \cdot (1\frac{1}{3} + (6 + (-3))^4)=\textcolor{white}{1353\frac{25}{27}}$$return {
["body"] = 104,
["id"] = "mAmYf7_0502_1606",
["obtiznost"] = 1.0332,
["reseni"] = {
["float"] = 1353.9259259259,
["objekt"] = {
["hodnota"] = {
["citatel"] = 36556,
["jmenovatel"] = 27 },
["render"] = "\\frac{36556}{27}",
["typ"] = "cislo" },
["tex"] = "1353\\frac{25}{27}",
["x"] = 1353,
["y"] = 25,
["z"] = 27 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.59",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "12 - 7",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(12 - 7)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "(12 - 7)^2 + 1\\frac{4}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(12 - 7)^2 + 1\\frac{4}{9} + (-10)",
["typ"] = "plus" },
["render"] = "((12 - 7)^2 + 1\\frac{4}{9} + (-10))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "6 + (-3)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(6 + (-3))^4",
["typ"] = "mocnina" },
["render"] = "1\\frac{1}{3} + (6 + (-3))^4",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{3} + (6 + (-3))^4)",
["typ"] = "zavorka" },
["render"] = "((12 - 7)^2 + 1\\frac{4}{9} + (-10)) \\cdot (1\\frac{1}{3} + (6 + (-3))^4)",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.6, bodu=128, $$2\frac{1}{8} \cdot 9 \cdot \frac{2\frac{2}{9}}{4\frac{1}{3}} + 20=\textcolor{white}{29\frac{21}{26}}$$return {
["body"] = 128,
["id"] = "kWDnD9_0502_1606",
["obtiznost"] = 1.2,
["reseni"] = {
["float"] = 29.807692307692,
["objekt"] = {
["hodnota"] = {
["citatel"] = 775,
["jmenovatel"] = 26 },
["render"] = "\\frac{775}{26}",
["typ"] = "cislo" },
["tex"] = "29\\frac{21}{26}",
["x"] = 29,
["y"] = 21,
["z"] = 26 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{8} \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{9}}{4\\frac{1}{3}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{1}{8} \\cdot 9 \\cdot \\frac{2\\frac{2}{9}}{4\\frac{1}{3}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{8} \\cdot 9 \\cdot \\frac{2\\frac{2}{9}}{4\\frac{1}{3}} + 20",
["typ"] = "plus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.61, bodu=101, $$\frac{10 - (11 + 1\frac{1}{3})}{-5 - (19 - 2\frac{3}{11})}=\textcolor{white}{\frac{77}{717}}$$return {
["body"] = 101,
["id"] = "NW08iY_0502_1606",
["obtiznost"] = 1.01,
["reseni"] = {
["float"] = 0.10739191073919,
["objekt"] = {
["hodnota"] = {
["citatel"] = 77,
["jmenovatel"] = 717 },
["render"] = "\\frac{-77}{-717}",
["typ"] = "cislo" },
["tex"] = "\\frac{77}{717}",
["y"] = 77,
["z"] = 717 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "11 + 1\\frac{1}{3}",
["typ"] = "plus" },
["render"] = "(11 + 1\\frac{1}{3})",
["typ"] = "zavorka" },
["render"] = "10 - (11 + 1\\frac{1}{3})",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "19 - 2\\frac{3}{11}",
["typ"] = "minus" },
["render"] = "(19 - 2\\frac{3}{11})",
["typ"] = "zavorka" },
["render"] = "-5 - (19 - 2\\frac{3}{11})",
["typ"] = "minus" },
["render"] = "\\frac{10 - (11 + 1\\frac{1}{3})}{-5 - (19 - 2\\frac{3}{11})}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.62, bodu=123, $$\frac{3\frac{4}{11} - (\frac{-14}{13})^2}{-10} \cdot 2\frac{2}{10}=\textcolor{white}{-\frac{4097}{8450}}$$return {
["body"] = 123,
["id"] = "UT7HE5_0502_1606",
["obtiznost"] = 1.166,
["reseni"] = {
["float"] = -0.48485207100592,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4097,
["jmenovatel"] = 8450 },
["render"] = "\\frac{-45067}{92950}",
["typ"] = "cislo" },
["tex"] = "-\\frac{4097}{8450}",
["y"] = -4097,
["z"] = 8450 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{13}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-14}{13})^2",
["typ"] = "mocnina" },
["render"] = "3\\frac{4}{11} - (\\frac{-14}{13})^2",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{11} - (\\frac{-14}{13})^2}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{11} - (\\frac{-14}{13})^2}{-10} \\cdot 2\\frac{2}{10}",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.63, bodu=78, $$-9 \cdot (\frac{-10 \cdot -15}{15} + 4\frac{3}{9})=\textcolor{white}{-129}$$return {
["body"] = 78,
["id"] = "vaotEj_0502_1606",
["obtiznost"] = 0.83,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -129,
["jmenovatel"] = 1 },
["render"] = "\\frac{-387}{3}",
["typ"] = "cislo" },
["tex"] = "-129",
["tex_float"] = "-129",
["x"] = -129 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.63",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-10 \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{-10 \\cdot -15}{15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-10 \\cdot -15}{15} + 4\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "(\\frac{-10 \\cdot -15}{15} + 4\\frac{3}{9})",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (\\frac{-10 \\cdot -15}{15} + 4\\frac{3}{9})",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.64, bodu=105, $$\frac{(4\frac{5}{7} + 4\frac{2}{5}) \cdot (-19 - 11)}{7 \cdot -18}=\textcolor{white}{2\frac{25}{147}}$$return {
["body"] = 105,
["id"] = "T4vT2l_0502_1606",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = 2.1700680272109,
["objekt"] = {
["hodnota"] = {
["citatel"] = 319,
["jmenovatel"] = 147 },
["render"] = "\\frac{-1914}{-882}",
["typ"] = "cislo" },
["tex"] = "2\\frac{25}{147}",
["x"] = 2,
["y"] = 25,
["z"] = 147 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{7} + 4\\frac{2}{5}",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{7} + 4\\frac{2}{5})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-19 - 11",
["typ"] = "minus" },
["render"] = "(-19 - 11)",
["typ"] = "zavorka" },
["render"] = "(4\\frac{5}{7} + 4\\frac{2}{5}) \\cdot (-19 - 11)",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "7 \\cdot -18",
["typ"] = "krat" },
["render"] = "\\frac{(4\\frac{5}{7} + 4\\frac{2}{5}) \\cdot (-19 - 11)}{7 \\cdot -18}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.65, bodu=200, $$\frac{\frac{4\frac{5}{8}}{4\frac{5}{9} - 2\frac{2}{4}} - 2\frac{5}{9}}{1\frac{5}{11}}=\textcolor{white}{-\frac{121}{576}}$$return {
["body"] = 200,
["id"] = "9mUsxg_0502_1606",
["obtiznost"] = 1.65,
["reseni"] = {
["float"] = -0.21006944444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -121,
["jmenovatel"] = 576 },
["render"] = "\\frac{-121}{576}",
["typ"] = "cislo" },
["tex"] = "-\\frac{121}{576}",
["y"] = -121,
["z"] = 576 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{9} - 2\\frac{2}{4}",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{5}{8}}{4\\frac{5}{9} - 2\\frac{2}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{8}}{4\\frac{5}{9} - 2\\frac{2}{4}} - 2\\frac{5}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{5}{8}}{4\\frac{5}{9} - 2\\frac{2}{4}} - 2\\frac{5}{9}}{1\\frac{5}{11}}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.66, bodu=83, $$2\frac{1}{5} - (-8 + 7) - (-4) - (-12 - (-18))^2=\textcolor{white}{-28{,}8}$$return {
["body"] = 83,
["id"] = "9aYyTz_0502_1606",
["obtiznost"] = 0.8748,
["reseni"] = {
["float"] = -28.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -144,
["jmenovatel"] = 5 },
["render"] = "\\frac{-144}{5}",
["typ"] = "cislo" },
["tex"] = "-28\\frac{4}{5}",
["tex_float"] = "-28{,}8",
["x"] = -28,
["y"] = 4,
["z"] = 5 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-8 + 7",
["typ"] = "plus" },
["render"] = "(-8 + 7)",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{5} - (-8 + 7)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} - (-8 + 7) - (-4)",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "-12 - (-18)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-12 - (-18))^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{1}{5} - (-8 + 7) - (-4) - (-12 - (-18))^2",
["typ"] = "minus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.67, bodu=139, $$13 \cdot (\frac{6}{3\frac{4}{10} + 3\frac{3}{7}} - (4\frac{5}{11} + (12 + (-16))^2))=\textcolor{white}{-254\frac{1279}{2629}}$$return {
["body"] = 139,
["id"] = "ZzUC7O_0502_1606",
["obtiznost"] = 1.2768,
["reseni"] = {
["float"] = -254.48649676683,
["objekt"] = {
["hodnota"] = {
["citatel"] = -669045,
["jmenovatel"] = 2629 },
["render"] = "\\frac{-669045}{2629}",
["typ"] = "cislo" },
["tex"] = "-254\\frac{1279}{2629}",
["x"] = -254,
["y"] = 1279,
["z"] = 2629 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.67",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} + 3\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "\\frac{6}{3\\frac{4}{10} + 3\\frac{3}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "12 + (-16)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(12 + (-16))^2",
["typ"] = "mocnina" },
["render"] = "4\\frac{5}{11} + (12 + (-16))^2",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{11} + (12 + (-16))^2)",
["typ"] = "zavorka" },
["render"] = "\\frac{6}{3\\frac{4}{10} + 3\\frac{3}{7}} - (4\\frac{5}{11} + (12 + (-16))^2)",
["typ"] = "minus" },
["render"] = "(\\frac{6}{3\\frac{4}{10} + 3\\frac{3}{7}} - (4\\frac{5}{11} + (12 + (-16))^2))",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (\\frac{6}{3\\frac{4}{10} + 3\\frac{3}{7}} - (4\\frac{5}{11} + (12 + (-16))^2))",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.68, bodu=111, $$\frac{6}{\frac{2\frac{3}{5}}{\frac{14}{-4} + (-7 - 1\frac{1}{7})}}=\textcolor{white}{-26\frac{79}{91}}$$return {
["body"] = 111,
["id"] = "ZvPPtP_0502_1606",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = -26.868131868132,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2445,
["jmenovatel"] = 91 },
["render"] = "\\frac{4890}{-182}",
["typ"] = "cislo" },
["tex"] = "-26\\frac{79}{91}",
["x"] = -26,
["y"] = 79,
["z"] = 91 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.68",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{14}{-4}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "-7 - 1\\frac{1}{7}",
["typ"] = "minus" },
["render"] = "\\frac{14}{-4} + (-7 - 1\\frac{1}{7})",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{3}{5}}{\\frac{14}{-4} + (-7 - 1\\frac{1}{7})}",
["typ"] = "lomeno" },
["render"] = "\\frac{6}{\\frac{2\\frac{3}{5}}{\\frac{14}{-4} + (-7 - 1\\frac{1}{7})}}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.69, bodu=85, $$\frac{14 \cdot -12}{11 \cdot (11 - 3\frac{2}{8})}=\textcolor{white}{-1\frac{331}{341}}$$return {
["body"] = 85,
["id"] = "lmgDwv_0502_1606",
["obtiznost"] = 0.89,
["reseni"] = {
["float"] = -1.9706744868035,
["objekt"] = {
["hodnota"] = {
["citatel"] = -672,
["jmenovatel"] = 341 },
["render"] = "\\frac{-672}{341}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{331}{341}",
["x"] = -1,
["y"] = 331,
["z"] = 341 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "14 \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "11 - 3\\frac{2}{8}",
["typ"] = "minus" },
["render"] = "(11 - 3\\frac{2}{8})",
["typ"] = "zavorka" },
["render"] = "11 \\cdot (11 - 3\\frac{2}{8})",
["typ"] = "krat" },
["render"] = "\\frac{14 \\cdot -12}{11 \\cdot (11 - 3\\frac{2}{8})}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.7, bodu=113, $$\frac{-15}{2\frac{2}{3} \cdot 4\frac{2}{11}} - (-17 + (-10) + (-13))=\textcolor{white}{38\frac{241}{368}}$$return {
["body"] = 113,
["id"] = "N6FW96_0502_1606",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = 38.654891304348,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14225,
["jmenovatel"] = 368 },
["render"] = "\\frac{14225}{368}",
["typ"] = "cislo" },
["tex"] = "38\\frac{241}{368}",
["x"] = 38,
["y"] = 241,
["z"] = 368 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 46,
["jmenovatel"] = 11 },
["render"] = "4\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{3} \\cdot 4\\frac{2}{11}",
["typ"] = "krat" },
["render"] = "\\frac{-15}{2\\frac{2}{3} \\cdot 4\\frac{2}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-17 + (-10)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-17 + (-10) + (-13)",
["typ"] = "plus" },
["render"] = "(-17 + (-10) + (-13))",
["typ"] = "zavorka" },
["render"] = "\\frac{-15}{2\\frac{2}{3} \\cdot 4\\frac{2}{11}} - (-17 + (-10) + (-13))",
["typ"] = "minus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.71, bodu=115, $$13 - (\frac{(15 + (-12))^2}{1\frac{5}{11} \cdot 6} - 4\frac{1}{6})=\textcolor{white}{16\frac{13}{96}}$$return {
["body"] = 115,
["id"] = "ETLRm2_0502_1606",
["obtiznost"] = 1.114,
["reseni"] = {
["float"] = 16.135416666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1549,
["jmenovatel"] = 96 },
["render"] = "\\frac{1549}{96}",
["typ"] = "cislo" },
["tex"] = "16\\frac{13}{96}",
["x"] = 16,
["y"] = 13,
["z"] = 96 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.71",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "15 + (-12)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(15 + (-12))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{11} \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{(15 + (-12))^2}{1\\frac{5}{11} \\cdot 6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{(15 + (-12))^2}{1\\frac{5}{11} \\cdot 6} - 4\\frac{1}{6}",
["typ"] = "minus" },
["render"] = "(\\frac{(15 + (-12))^2}{1\\frac{5}{11} \\cdot 6} - 4\\frac{1}{6})",
["typ"] = "zavorka" },
["render"] = "13 - (\\frac{(15 + (-12))^2}{1\\frac{5}{11} \\cdot 6} - 4\\frac{1}{6})",
["typ"] = "minus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.72, bodu=89, $$\frac{3\frac{1}{6} + 4 \cdot -14 + (-9)}{\frac{-17}{-15}}=\textcolor{white}{-54\frac{19}{34}}$$return {
["body"] = 89,
["id"] = "OpDg67_0502_1606",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = -54.558823529412,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1855,
["jmenovatel"] = 34 },
["render"] = "\\frac{-5565}{102}",
["typ"] = "cislo" },
["tex"] = "-54\\frac{19}{34}",
["x"] = -54,
["y"] = 19,
["z"] = 34 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "4 \\cdot -14",
["typ"] = "krat" },
["render"] = "3\\frac{1}{6} + 4 \\cdot -14",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} + 4 \\cdot -14 + (-9)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{-15}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{1}{6} + 4 \\cdot -14 + (-9)}{\\frac{-17}{-15}}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.73, bodu=91, $$(6 + (-9))^2 - (\frac{12}{3\frac{2}{10}} + 18 - 14)=\textcolor{white}{1{,}25}$$return {
["body"] = 91,
["id"] = "igXhH6_0502_1606",
["obtiznost"] = 0.934,
["reseni"] = {
["float"] = 1.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "\\frac{5}{4}",
["typ"] = "cislo" },
["tex"] = "1\\frac{1}{4}",
["tex_float"] = "1{,}25",
["x"] = 1,
["y"] = 1,
["z"] = 4 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.73",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "6 + (-9)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(6 + (-9))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{3\\frac{2}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{12}{3\\frac{2}{10}} + 18",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{12}{3\\frac{2}{10}} + 18 - 14",
["typ"] = "minus" },
["render"] = "(\\frac{12}{3\\frac{2}{10}} + 18 - 14)",
["typ"] = "zavorka" },
["render"] = "(6 + (-9))^2 - (\\frac{12}{3\\frac{2}{10}} + 18 - 14)",
["typ"] = "minus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.74, bodu=119, $$\frac{\frac{3\frac{1}{5} + (-20)}{-5}}{\frac{4\frac{2}{9} - 10}{8}}=\textcolor{white}{-4\frac{212}{325}}$$return {
["body"] = 119,
["id"] = "5g1O80_0502_1606",
["obtiznost"] = 1.14,
["reseni"] = {
["float"] = -4.6523076923077,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1512,
["jmenovatel"] = 325 },
["render"] = "\\frac{1512}{-325}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{212}{325}",
["x"] = -4,
["y"] = 212,
["z"] = 325 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{5} + (-20)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{5} + (-20)}{-5}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{9} - 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{9} - 10}{8}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{3\\frac{1}{5} + (-20)}{-5}}{\\frac{4\\frac{2}{9} - 10}{8}}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.75, bodu=93, $$\frac{11 - (9 - (-13))}{4\frac{5}{11} + 11} - (-10)=\textcolor{white}{9\frac{49}{170}}$$return {
["body"] = 93,
["id"] = "JCdkhQ_0502_1606",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = 9.2882352941176,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1579,
["jmenovatel"] = 170 },
["render"] = "\\frac{1579}{170}",
["typ"] = "cislo" },
["tex"] = "9\\frac{49}{170}",
["x"] = 9,
["y"] = 49,
["z"] = 170 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "9 - (-13)",
["typ"] = "minus" },
["render"] = "(9 - (-13))",
["typ"] = "zavorka" },
["render"] = "11 - (9 - (-13))",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{11} + 11",
["typ"] = "plus" },
["render"] = "\\frac{11 - (9 - (-13))}{4\\frac{5}{11} + 11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{11 - (9 - (-13))}{4\\frac{5}{11} + 11} - (-10)",
["typ"] = "minus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.76, bodu=95, $$(-12 + 3\frac{1}{7}) \cdot ((\frac{-6}{-3})^2 - 14 + 11)^2=\textcolor{white}{-8\frac{6}{7}}$$return {
["body"] = 95,
["id"] = "VDNBhV_0502_1606",
["obtiznost"] = 0.9628,
["reseni"] = {
["float"] = -8.8571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -62,
["jmenovatel"] = 7 },
["render"] = "\\frac{-62}{7}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{6}{7}",
["x"] = -8,
["y"] = 6,
["z"] = 7 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.76",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "-12 + 3\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "(-12 + 3\\frac{1}{7})",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "(\\frac{-6}{-3})^2 - 14",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(\\frac{-6}{-3})^2 - 14 + 11",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "((\\frac{-6}{-3})^2 - 14 + 11)^2",
["typ"] = "mocnina" },
["render"] = "(-12 + 3\\frac{1}{7}) \\cdot ((\\frac{-6}{-3})^2 - 14 + 11)^2",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.77, bodu=212, $$\frac{-12 - (2\frac{5}{11} + 12)}{(\frac{1\frac{2}{5}}{3\frac{3}{5}})^2 + 3\frac{2}{8}}=\textcolor{white}{-7\frac{4715}{6061}}$$return {
["body"] = 212,
["id"] = "n8rLr9_0502_1606",
["obtiznost"] = 1.7192,
["reseni"] = {
["float"] = -7.7779244349117,
["objekt"] = {
["hodnota"] = {
["citatel"] = -47142,
["jmenovatel"] = 6061 },
["render"] = "\\frac{-47142}{6061}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{4715}{6061}",
["x"] = -7,
["y"] = 4715,
["z"] = 6061 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} + 12",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{11} + 12)",
["typ"] = "zavorka" },
["render"] = "-12 - (2\\frac{5}{11} + 12)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{5}}{3\\frac{3}{5}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{1\\frac{2}{5}}{3\\frac{3}{5}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "(\\frac{1\\frac{2}{5}}{3\\frac{3}{5}})^2 + 3\\frac{2}{8}",
["typ"] = "plus" },
["render"] = "\\frac{-12 - (2\\frac{5}{11} + 12)}{(\\frac{1\\frac{2}{5}}{3\\frac{3}{5}})^2 + 3\\frac{2}{8}}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.78, bodu=97, $$(-5 \cdot -14 + (-11)) \cdot (12 - (-10) + 1\frac{2}{9})=\textcolor{white}{1370\frac{1}{9}}$$return {
["body"] = 97,
["id"] = "fcA6AW_0502_1606",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = 1370.1111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 12331,
["jmenovatel"] = 9 },
["render"] = "\\frac{12331}{9}",
["typ"] = "cislo" },
["tex"] = "1370\\frac{1}{9}",
["x"] = 1370,
["y"] = 1,
["z"] = 9 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.78",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-5 \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-5 \\cdot -14 + (-11)",
["typ"] = "plus" },
["render"] = "(-5 \\cdot -14 + (-11))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "12 - (-10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "12 - (-10) + 1\\frac{2}{9}",
["typ"] = "plus" },
["render"] = "(12 - (-10) + 1\\frac{2}{9})",
["typ"] = "zavorka" },
["render"] = "(-5 \\cdot -14 + (-11)) \\cdot (12 - (-10) + 1\\frac{2}{9})",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.79, bodu=105, $$\frac{(-11 + 15 + (-9))^4}{-15 - (11 - 8)}=\textcolor{white}{-34\frac{13}{18}}$$return {
["body"] = 105,
["id"] = "XW1MZm_0502_1606",
["obtiznost"] = 1.0404,
["reseni"] = {
["float"] = -34.722222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -625,
["jmenovatel"] = 18 },
["render"] = "\\frac{625}{-18}",
["typ"] = "cislo" },
["tex"] = "-34\\frac{13}{18}",
["x"] = -34,
["y"] = 13,
["z"] = 18 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.79",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "15 + (-9)",
["typ"] = "plus" },
["render"] = "-11 + 15 + (-9)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-11 + 15 + (-9))^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "11 - 8",
["typ"] = "minus" },
["render"] = "(11 - 8)",
["typ"] = "zavorka" },
["render"] = "-15 - (11 - 8)",
["typ"] = "minus" },
["render"] = "\\frac{(-11 + 15 + (-9))^4}{-15 - (11 - 8)}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.8, bodu=130, $$(15 + (-21))^2 \cdot (4\frac{3}{8} + (-19) - 3\frac{2}{4} - (7 + 22))=\textcolor{white}{-1696{,}5}$$return {
["body"] = 130,
["id"] = "tXZOUk_0502_1606",
["obtiznost"] = 1.2148,
["reseni"] = {
["float"] = -1696.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3393,
["jmenovatel"] = 2 },
["render"] = "\\frac{-13572}{8}",
["typ"] = "cislo" },
["tex"] = "-1696\\frac{1}{2}",
["tex_float"] = "-1696{,}5",
["x"] = -1696,
["y"] = 1,
["z"] = 2 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.8",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "15 + (-21)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(15 + (-21))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} + (-19)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} + (-19) - 3\\frac{2}{4}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["render"] = "7 + 22",
["typ"] = "plus" },
["render"] = "(7 + 22)",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{8} + (-19) - 3\\frac{2}{4} - (7 + 22)",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{8} + (-19) - 3\\frac{2}{4} - (7 + 22))",
["typ"] = "zavorka" },
["render"] = "(15 + (-21))^2 \\cdot (4\\frac{3}{8} + (-19) - 3\\frac{2}{4} - (7 + 22))",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.81, bodu=101, $$-15 - (2\frac{2}{5} + 18 + 6 - (-17 - 14) - (-11))=\textcolor{white}{-83{,}4}$$return {
["body"] = 101,
["id"] = "2JoM4n_0502_1606",
["obtiznost"] = 1.01,
["reseni"] = {
["float"] = -83.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -417,
["jmenovatel"] = 5 },
["render"] = "\\frac{-417}{5}",
["typ"] = "cislo" },
["tex"] = "-83\\frac{2}{5}",
["tex_float"] = "-83{,}4",
["x"] = -83,
["y"] = 2,
["z"] = 5 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.81",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "18 + 6",
["typ"] = "plus" },
["render"] = "2\\frac{2}{5} + 18 + 6",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-17 - 14",
["typ"] = "minus" },
["render"] = "(-17 - 14)",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{5} + 18 + 6 - (-17 - 14)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{5} + 18 + 6 - (-17 - 14) - (-11)",
["typ"] = "minus" },
["render"] = "(2\\frac{2}{5} + 18 + 6 - (-17 - 14) - (-11))",
["typ"] = "zavorka" },
["render"] = "-15 - (2\\frac{2}{5} + 18 + 6 - (-17 - 14) - (-11))",
["typ"] = "minus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.82, bodu=195, $$-14 - 1\frac{5}{12} + (4\frac{4}{7} \cdot 13 - 3\frac{4}{9}) \cdot 3\frac{4}{6}=\textcolor{white}{189\frac{649}{756}}$$return {
["body"] = 195,
["id"] = "9021gN_0502_1606",
["obtiznost"] = 1.62,
["reseni"] = {
["float"] = 189.85846560847,
["objekt"] = {
["hodnota"] = {
["citatel"] = 143533,
["jmenovatel"] = 756 },
["render"] = "\\frac{430599}{2268}",
["typ"] = "cislo" },
["tex"] = "189\\frac{649}{756}",
["x"] = 189,
["y"] = 649,
["z"] = 756 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "-14 - 1\\frac{5}{12}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{7} \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{7} \\cdot 13 - 3\\frac{4}{9}",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{7} \\cdot 13 - 3\\frac{4}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "(4\\frac{4}{7} \\cdot 13 - 3\\frac{4}{9}) \\cdot 3\\frac{4}{6}",
["typ"] = "krat" },
["render"] = "-14 - 1\\frac{5}{12} + (4\\frac{4}{7} \\cdot 13 - 3\\frac{4}{9}) \\cdot 3\\frac{4}{6}",
["typ"] = "plus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.83, bodu=104, $$\frac{9 - \frac{3\frac{5}{8}}{(-14 + 16)^3}}{-12 + (-11 + 7)}=\textcolor{white}{-\frac{547}{1024}}$$return {
["body"] = 104,
["id"] = "z5ZD0Z_0502_1606",
["obtiznost"] = 1.0336,
["reseni"] = {
["float"] = -0.5341796875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -547,
["jmenovatel"] = 1024 },
["render"] = "\\frac{547}{-1024}",
["typ"] = "cislo" },
["tex"] = "-\\frac{547}{1024}",
["y"] = -547,
["z"] = 1024 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-14 + 16",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-14 + 16)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{3\\frac{5}{8}}{(-14 + 16)^3}",
["typ"] = "lomeno" },
["render"] = "9 - \\frac{3\\frac{5}{8}}{(-14 + 16)^3}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["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"] = "-12 + (-11 + 7)",
["typ"] = "plus" },
["render"] = "\\frac{9 - \\frac{3\\frac{5}{8}}{(-14 + 16)^3}}{-12 + (-11 + 7)}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.84, bodu=134, $$2\frac{5}{13} - 11 + \frac{1\frac{2}{6} - \frac{10}{18}}{9}=\textcolor{white}{-8\frac{557}{1053}}$$return {
["body"] = 134,
["id"] = "aVqbrO_0502_1606",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = -8.5289648622982,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8981,
["jmenovatel"] = 1053 },
["render"] = "\\frac{-8981}{1053}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{557}{1053}",
["x"] = -8,
["y"] = 557,
["z"] = 1053 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{13} - 11",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{10}{18}",
["typ"] = "lomeno" },
["render"] = "1\\frac{2}{6} - \\frac{10}{18}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{6} - \\frac{10}{18}}{9}",
["typ"] = "lomeno" },
["render"] = "2\\frac{5}{13} - 11 + \\frac{1\\frac{2}{6} - \\frac{10}{18}}{9}",
["typ"] = "plus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.85, bodu=135, $$\frac{\frac{1\frac{4}{8} - 13}{20}}{2\frac{1}{3} + 5 \cdot (11 + 20)}=\textcolor{white}{-\frac{69}{18880}}$$return {
["body"] = 135,
["id"] = "jNJlVm_0502_1606",
["obtiznost"] = 1.25,
["reseni"] = {
["float"] = -0.0036546610169492,
["objekt"] = {
["hodnota"] = {
["citatel"] = -69,
["jmenovatel"] = 18880 },
["render"] = "\\frac{-69}{18880}",
["typ"] = "cislo" },
["tex"] = "-\\frac{69}{18880}",
["y"] = -69,
["z"] = 18880 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} - 13",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{8} - 13}{20}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "11 + 20",
["typ"] = "plus" },
["render"] = "(11 + 20)",
["typ"] = "zavorka" },
["render"] = "5 \\cdot (11 + 20)",
["typ"] = "krat" },
["render"] = "2\\frac{1}{3} + 5 \\cdot (11 + 20)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{1\\frac{4}{8} - 13}{20}}{2\\frac{1}{3} + 5 \\cdot (11 + 20)}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.86, bodu=137, $$\frac{12 \cdot 19 \cdot 14}{\frac{16}{3\frac{5}{15} - 4\frac{1}{10}}}=\textcolor{white}{-152{,}95}$$return {
["body"] = 137,
["id"] = "JuNFEM_0502_1606",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = -152.95,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3059,
["jmenovatel"] = 20 },
["render"] = "\\frac{73416}{-480}",
["typ"] = "cislo" },
["tex"] = "-152\\frac{19}{20}",
["tex_float"] = "-152{,}95",
["x"] = -152,
["y"] = 19,
["z"] = 20 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "19 \\cdot 14",
["typ"] = "krat" },
["render"] = "12 \\cdot 19 \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{5}{15}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 10 },
["render"] = "4\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{15} - 4\\frac{1}{10}",
["typ"] = "minus" },
["render"] = "\\frac{16}{3\\frac{5}{15} - 4\\frac{1}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{12 \\cdot 19 \\cdot 14}{\\frac{16}{3\\frac{5}{15} - 4\\frac{1}{10}}}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.87, bodu=240, $$\frac{3\frac{4}{11}}{2\frac{1}{4} - (3\frac{1}{4} + 8) \cdot \frac{3\frac{4}{13}}{4\frac{2}{12}}}=\textcolor{white}{-\frac{9620}{19107}}$$return {
["body"] = 240,
["id"] = "aupx7N_0502_1606",
["obtiznost"] = 1.87,
["reseni"] = {
["float"] = -0.50348039985346,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9620,
["jmenovatel"] = 19107 },
["render"] = "\\frac{9620}{-19107}",
["typ"] = "cislo" },
["tex"] = "-\\frac{9620}{19107}",
["y"] = -9620,
["z"] = 19107 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.87",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{4} + 8",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{4} + 8)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 13 },
["render"] = "3\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{2}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{13}}{4\\frac{2}{12}}",
["typ"] = "lomeno" },
["render"] = "(3\\frac{1}{4} + 8) \\cdot \\frac{3\\frac{4}{13}}{4\\frac{2}{12}}",
["typ"] = "krat" },
["render"] = "2\\frac{1}{4} - (3\\frac{1}{4} + 8) \\cdot \\frac{3\\frac{4}{13}}{4\\frac{2}{12}}",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{4}{11}}{2\\frac{1}{4} - (3\\frac{1}{4} + 8) \\cdot \\frac{3\\frac{4}{13}}{4\\frac{2}{12}}}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.88, bodu=172, $$\frac{\frac{2\frac{5}{14} \cdot 17}{2\frac{3}{9}} + (-17)}{\frac{3\frac{4}{11}}{14}}=\textcolor{white}{\frac{187}{259}}$$return {
["body"] = 172,
["id"] = "zMufml_0502_1606",
["obtiznost"] = 1.48,
["reseni"] = {
["float"] = 0.72200772200772,
["objekt"] = {
["hodnota"] = {
["citatel"] = 187,
["jmenovatel"] = 259 },
["render"] = "\\frac{2618}{3626}",
["typ"] = "cislo" },
["tex"] = "\\frac{187}{259}",
["y"] = 187,
["z"] = 259 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 14 },
["render"] = "2\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{14} \\cdot 17",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{14} \\cdot 17}{2\\frac{3}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{14} \\cdot 17}{2\\frac{3}{9}} + (-17)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{11}}{14}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{2\\frac{5}{14} \\cdot 17}{2\\frac{3}{9}} + (-17)}{\\frac{3\\frac{4}{11}}{14}}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.89, bodu=152, $$(\frac{4\frac{1}{9}}{2\frac{1}{6}} + 17 \cdot -5) \cdot (19 - 11 + (-21))^2=\textcolor{white}{-14044\frac{1}{3}}$$return {
["body"] = 152,
["id"] = "Q9VFpP_0502_1606",
["obtiznost"] = 1.358,
["reseni"] = {
["float"] = -14044.333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -42133,
["jmenovatel"] = 3 },
["render"] = "\\frac{-547729}{39}",
["typ"] = "cislo" },
["tex"] = "-14044\\frac{1}{3}",
["x"] = -14044,
["y"] = 1,
["z"] = 3 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.89",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{9}}{2\\frac{1}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "17 \\cdot -5",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{1}{9}}{2\\frac{1}{6}} + 17 \\cdot -5",
["typ"] = "plus" },
["render"] = "(\\frac{4\\frac{1}{9}}{2\\frac{1}{6}} + 17 \\cdot -5)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "19 - 11",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "19 - 11 + (-21)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(19 - 11 + (-21))^2",
["typ"] = "mocnina" },
["render"] = "(\\frac{4\\frac{1}{9}}{2\\frac{1}{6}} + 17 \\cdot -5) \\cdot (19 - 11 + (-21))^2",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.9, bodu=209, $$13 \cdot (2\frac{1}{7} - (\frac{2\frac{3}{7} - 3\frac{2}{8}}{3\frac{2}{10}} + 10))=\textcolor{white}{-98\frac{361}{448}}$$return {
["body"] = 209,
["id"] = "5oHYWf_0502_1606",
["obtiznost"] = 1.7,
["reseni"] = {
["float"] = -98.805803571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -44265,
["jmenovatel"] = 448 },
["render"] = "\\frac{-44265}{448}",
["typ"] = "cislo" },
["tex"] = "-98\\frac{361}{448}",
["x"] = -98,
["y"] = 361,
["z"] = 448 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.9",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{7} - 3\\frac{2}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{7} - 3\\frac{2}{8}}{3\\frac{2}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{7} - 3\\frac{2}{8}}{3\\frac{2}{10}} + 10",
["typ"] = "plus" },
["render"] = "(\\frac{2\\frac{3}{7} - 3\\frac{2}{8}}{3\\frac{2}{10}} + 10)",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{7} - (\\frac{2\\frac{3}{7} - 3\\frac{2}{8}}{3\\frac{2}{10}} + 10)",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{7} - (\\frac{2\\frac{3}{7} - 3\\frac{2}{8}}{3\\frac{2}{10}} + 10))",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (2\\frac{1}{7} - (\\frac{2\\frac{3}{7} - 3\\frac{2}{8}}{3\\frac{2}{10}} + 10))",
["typ"] = "krat" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.91, bodu=211, $$14 - \frac{3\frac{5}{9}}{4\frac{2}{10}} - (-2) - \frac{4\frac{4}{6}}{2\frac{3}{8}}=\textcolor{white}{13\frac{677}{3591}}$$return {
["body"] = 211,
["id"] = "XhymnS_0502_1606",
["obtiznost"] = 1.71,
["reseni"] = {
["float"] = 13.188526872737,
["objekt"] = {
["hodnota"] = {
["citatel"] = 47360,
["jmenovatel"] = 3591 },
["render"] = "\\frac{142080}{10773}",
["typ"] = "cislo" },
["tex"] = "13\\frac{677}{3591}",
["x"] = 13,
["y"] = 677,
["z"] = 3591 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{9}}{4\\frac{2}{10}}",
["typ"] = "lomeno" },
["render"] = "14 - \\frac{3\\frac{5}{9}}{4\\frac{2}{10}}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "14 - \\frac{3\\frac{5}{9}}{4\\frac{2}{10}} - (-2)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{6}}{2\\frac{3}{8}}",
["typ"] = "lomeno" },
["render"] = "14 - \\frac{3\\frac{5}{9}}{4\\frac{2}{10}} - (-2) - \\frac{4\\frac{4}{6}}{2\\frac{3}{8}}",
["typ"] = "minus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.92, bodu=163, $$\frac{-21 - 14 + (-23)}{(\frac{2\frac{5}{10}}{3\frac{2}{8}})^2 - 9}=\textcolor{white}{6\frac{44}{49}}$$return {
["body"] = 163,
["id"] = "9Ww4mL_0502_1606",
["obtiznost"] = 1.4276,
["reseni"] = {
["float"] = 6.8979591836735,
["objekt"] = {
["hodnota"] = {
["citatel"] = 338,
["jmenovatel"] = 49 },
["render"] = "\\frac{-9802}{-1421}",
["typ"] = "cislo" },
["tex"] = "6\\frac{44}{49}",
["x"] = 6,
["y"] = 44,
["z"] = 49 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-21 - 14",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["render"] = "-21 - 14 + (-23)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{10}}{3\\frac{2}{8}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{2\\frac{5}{10}}{3\\frac{2}{8}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(\\frac{2\\frac{5}{10}}{3\\frac{2}{8}})^2 - 9",
["typ"] = "minus" },
["render"] = "\\frac{-21 - 14 + (-23)}{(\\frac{2\\frac{5}{10}}{3\\frac{2}{8}})^2 - 9}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.93, bodu=188, $$\frac{\frac{15}{(\frac{-15}{3})^4} - 2\frac{4}{11}}{3\frac{1}{6} + 17}=\textcolor{white}{-\frac{19302}{166375}}$$return {
["body"] = 188,
["id"] = "s0nzgz_0502_1606",
["obtiznost"] = 1.5804,
["reseni"] = {
["float"] = -0.11601502629602,
["objekt"] = {
["hodnota"] = {
["citatel"] = -19302,
["jmenovatel"] = 166375 },
["render"] = "\\frac{-19302}{166375}",
["typ"] = "cislo" },
["tex"] = "-\\frac{19302}{166375}",
["y"] = -19302,
["z"] = 166375 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{3}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-15}{3})^4",
["typ"] = "mocnina" },
["render"] = "\\frac{15}{(\\frac{-15}{3})^4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{(\\frac{-15}{3})^4} - 2\\frac{4}{11}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} + 17",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{15}{(\\frac{-15}{3})^4} - 2\\frac{4}{11}}{3\\frac{1}{6} + 17}",
["typ"] = "lomeno" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.94, bodu=149, $$6 - \frac{\frac{-23}{2\frac{2}{4} - (-14)}}{4 \cdot 3\frac{4}{8}}=\textcolor{white}{6\frac{23}{231}}$$return {
["body"] = 149,
["id"] = "yD4lBU_0502_1606",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = 6.0995670995671,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1409,
["jmenovatel"] = 231 },
["render"] = "\\frac{1409}{231}",
["typ"] = "cislo" },
["tex"] = "6\\frac{23}{231}",
["x"] = 6,
["y"] = 23,
["z"] = 231 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.94",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} - (-14)",
["typ"] = "minus" },
["render"] = "\\frac{-23}{2\\frac{2}{4} - (-14)}",
["typ"] = "lomeno" },
["c2"] = {
["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 \\cdot 3\\frac{4}{8}",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{-23}{2\\frac{2}{4} - (-14)}}{4 \\cdot 3\\frac{4}{8}}",
["typ"] = "lomeno" },
["render"] = "6 - \\frac{\\frac{-23}{2\\frac{2}{4} - (-14)}}{4 \\cdot 3\\frac{4}{8}}",
["typ"] = "minus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.95, bodu=218, $$3\frac{1}{6} \cdot (-12 - 2\frac{2}{9} - 4\frac{1}{4}) \cdot 4\frac{3}{8} - (-12)=\textcolor{white}{-243\frac{1585}{1728}}$$return {
["body"] = 218,
["id"] = "4pAE9b_0502_1606",
["obtiznost"] = 1.75,
["reseni"] = {
["float"] = -243.91724537037,
["objekt"] = {
["hodnota"] = {
["citatel"] = -421489,
["jmenovatel"] = 1728 },
["render"] = "\\frac{-421489}{1728}",
["typ"] = "cislo" },
["tex"] = "-243\\frac{1585}{1728}",
["x"] = -243,
["y"] = 1585,
["z"] = 1728 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "-12 - 2\\frac{2}{9} - 4\\frac{1}{4}",
["typ"] = "minus" },
["render"] = "(-12 - 2\\frac{2}{9} - 4\\frac{1}{4})",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{6} \\cdot (-12 - 2\\frac{2}{9} - 4\\frac{1}{4})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} \\cdot (-12 - 2\\frac{2}{9} - 4\\frac{1}{4}) \\cdot 4\\frac{3}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} \\cdot (-12 - 2\\frac{2}{9} - 4\\frac{1}{4}) \\cdot 4\\frac{3}{8} - (-12)",
["typ"] = "minus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.96, bodu=220, $$4\frac{5}{13} + (-16 \cdot \frac{2\frac{3}{10}}{13}) - 2\frac{1}{12} \cdot 4\frac{1}{11}=\textcolor{white}{-6\frac{2771}{2860}}$$return {
["body"] = 220,
["id"] = "bPQYGa_0502_1606",
["obtiznost"] = 1.76,
["reseni"] = {
["float"] = -6.9688811188811,
["objekt"] = {
["hodnota"] = {
["citatel"] = -19931,
["jmenovatel"] = 2860 },
["render"] = "\\frac{-19931}{2860}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{2771}{2860}",
["x"] = -6,
["y"] = 2771,
["z"] = 2860 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{10}}{13}",
["typ"] = "lomeno" },
["render"] = "-16 \\cdot \\frac{2\\frac{3}{10}}{13}",
["typ"] = "krat" },
["render"] = "4\\frac{5}{13} + (-16 \\cdot \\frac{2\\frac{3}{10}}{13})",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 12 },
["render"] = "2\\frac{1}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 11 },
["render"] = "4\\frac{1}{11}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{12} \\cdot 4\\frac{1}{11}",
["typ"] = "krat" },
["render"] = "4\\frac{5}{13} + (-16 \\cdot \\frac{2\\frac{3}{10}}{13}) - 2\\frac{1}{12} \\cdot 4\\frac{1}{11}",
["typ"] = "minus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.97, bodu=154, $$\frac{18}{21} - \frac{-13}{\frac{2\frac{2}{7} + 3\frac{1}{3}}{-8}}=\textcolor{white}{-17\frac{269}{413}}$$return {
["body"] = 154,
["id"] = "Fmqhbt_0502_1606",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = -17.651331719128,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7290,
["jmenovatel"] = 413 },
["render"] = "\\frac{-7290}{413}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{269}{413}",
["x"] = -17,
["y"] = 269,
["z"] = 413 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "\\frac{18}{21}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{7} + 3\\frac{1}{3}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{7} + 3\\frac{1}{3}}{-8}",
["typ"] = "lomeno" },
["render"] = "\\frac{-13}{\\frac{2\\frac{2}{7} + 3\\frac{1}{3}}{-8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{18}{21} - \\frac{-13}{\\frac{2\\frac{2}{7} + 3\\frac{1}{3}}{-8}}",
["typ"] = "minus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.98, bodu=155, $$\frac{\frac{8}{-19} - 4\frac{3}{5}}{12} - 13 \cdot 3\frac{2}{7}=\textcolor{white}{-43\frac{353}{2660}}$$return {
["body"] = 155,
["id"] = "7YwxHc_0502_1606",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = -43.132706766917,
["objekt"] = {
["hodnota"] = {
["citatel"] = -114733,
["jmenovatel"] = 2660 },
["render"] = "\\frac{-114733}{2660}",
["typ"] = "cislo" },
["tex"] = "-43\\frac{353}{2660}",
["x"] = -43,
["y"] = 353,
["z"] = 2660 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-19}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-19} - 4\\frac{3}{5}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{8}{-19} - 4\\frac{3}{5}}{12}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 3\\frac{2}{7}",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{8}{-19} - 4\\frac{3}{5}}{12} - 13 \\cdot 3\\frac{2}{7}",
["typ"] = "minus" } }
seed: wzjCYlEnG3XTkMtnzjOn_0.99, bodu=157, $$\frac{-13}{(-24 - 15) \cdot 2\frac{4}{14} \cdot 12 + 3\frac{3}{11}}=\textcolor{white}{\frac{1001}{82116}}$$return {
["body"] = 157,
["id"] = "PFKrKh_0502_1606",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = 0.012190072580252,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1001,
["jmenovatel"] = 82116 },
["render"] = "\\frac{-1001}{-82116}",
["typ"] = "cislo" },
["tex"] = "\\frac{1001}{82116}",
["y"] = 1001,
["z"] = 82116 },
["seed"] = "wzjCYlEnG3XTkMtnzjOn_0.99",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -24,
["jmenovatel"] = 1 },
["render"] = "-24",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-24 - 15",
["typ"] = "minus" },
["render"] = "(-24 - 15)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{14} \\cdot 12",
["typ"] = "krat" },
["render"] = "(-24 - 15) \\cdot 2\\frac{4}{14} \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "(-24 - 15) \\cdot 2\\frac{4}{14} \\cdot 12 + 3\\frac{3}{11}",
["typ"] = "plus" },
["render"] = "\\frac{-13}{(-24 - 15) \\cdot 2\\frac{4}{14} \\cdot 12 + 3\\frac{3}{11}}",
["typ"] = "lomeno" } }
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Toothless_ecstatic_claps.gif: 
UJrA.gif: 
VEKsdfggfd0.gif: 
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