- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: eA1zpgjmyRVaYSwlRfyW_0, bodu=5, $$8 \cdot 9 \cdot (8 - 7)=\textcolor{white}{72}$$return {
["body"] = 5,
["id"] = "t5xXyl_0621_2231",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 72,
["jmenovatel"] = 1 },
["render"] = "\\frac{72}{1}",
["typ"] = "cislo" },
["tex"] = "72",
["tex_float"] = "72",
["x"] = 72 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 \\cdot 9",
["typ"] = "krat" },
["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"] = "minus" },
["render"] = "(8 - 7)",
["typ"] = "zavorka" },
["render"] = "8 \\cdot 9 \\cdot (8 - 7)",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.01, bodu=5, $$11 \cdot 7 + 9 - 3=\textcolor{white}{83}$$return {
["body"] = 5,
["id"] = "UcbysJ_0621_2231",
["obtiznost"] = 0.01,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 83,
["jmenovatel"] = 1 },
["render"] = "\\frac{83}{1}",
["typ"] = "cislo" },
["tex"] = "83",
["tex_float"] = "83",
["x"] = 83 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "11 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "9 - 3",
["typ"] = "minus" },
["render"] = "11 \\cdot 7 + 9 - 3",
["typ"] = "plus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.02, bodu=5, $$(7 - (-4))^2 + 3 \cdot 7=\textcolor{white}{142}$$return {
["body"] = 5,
["id"] = "4Z1SUs_0621_2231",
["obtiznost"] = 0.0688,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 142,
["jmenovatel"] = 1 },
["render"] = "\\frac{142}{1}",
["typ"] = "cislo" },
["tex"] = "142",
["tex_float"] = "142",
["x"] = 142 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.02",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "7 - (-4)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(7 - (-4))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3 \\cdot 7",
["typ"] = "krat" },
["render"] = "(7 - (-4))^2 + 3 \\cdot 7",
["typ"] = "plus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.03, bodu=10, $$\frac{(6 - 5)^3}{9 \cdot 5}=\textcolor{white}{\frac{1}{45}}$$return {
["body"] = 10,
["id"] = "AAz46F_0621_2231",
["obtiznost"] = 0.0308,
["reseni"] = {
["float"] = 0.022222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 45 },
["render"] = "\\frac{1}{45}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{45}",
["y"] = 1,
["z"] = 45 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.03",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 - 5",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(6 - 5)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "9 \\cdot 5",
["typ"] = "krat" },
["render"] = "\\frac{(6 - 5)^3}{9 \\cdot 5}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.04, bodu=20, $$\frac{4\frac{4}{7}}{5} \cdot 8=\textcolor{white}{7\frac{11}{35}}$$return {
["body"] = 20,
["id"] = "AvuXER_0621_2231",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = 7.3142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 256,
["jmenovatel"] = 35 },
["render"] = "\\frac{256}{35}",
["typ"] = "cislo" },
["tex"] = "7\\frac{11}{35}",
["x"] = 7,
["y"] = 11,
["z"] = 35 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.04",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{7}}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{7}}{5} \\cdot 8",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.05, bodu=11, $$\frac{9}{4 + 6 + 5}=\textcolor{white}{0{,}6}$$return {
["body"] = 11,
["id"] = "ByO63N_0621_2231",
["obtiznost"] = 0.05,
["reseni"] = {
["float"] = 0.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 5 },
["render"] = "\\frac{9}{15}",
["typ"] = "cislo" },
["tex"] = "\\frac{3}{5}",
["tex_float"] = "0{,}6",
["y"] = 3,
["z"] = 5 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 + 5",
["typ"] = "plus" },
["render"] = "4 + 6 + 5",
["typ"] = "plus" },
["render"] = "\\frac{9}{4 + 6 + 5}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.06, bodu=6, $$(9 + (-5))^3 \cdot 4 - 9=\textcolor{white}{247}$$return {
["body"] = 6,
["id"] = "7l20C5_0621_2231",
["obtiznost"] = 0.086,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 247,
["jmenovatel"] = 1 },
["render"] = "\\frac{247}{1}",
["typ"] = "cislo" },
["tex"] = "247",
["tex_float"] = "247",
["x"] = 247 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(9 + (-5))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(9 + (-5))^3 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(9 + (-5))^3 \\cdot 4 - 9",
["typ"] = "minus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.07, bodu=34, $$(5 + (\frac{4}{-5})^4) \cdot 3=\textcolor{white}{16\frac{143}{625}}$$return {
["body"] = 34,
["id"] = "MHTSu4_0621_2231",
["obtiznost"] = 0.4224,
["reseni"] = {
["float"] = 16.2288,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10143,
["jmenovatel"] = 625 },
["render"] = "\\frac{10143}{625}",
["typ"] = "cislo" },
["tex"] = "16\\frac{143}{625}",
["x"] = 16,
["y"] = 143,
["z"] = 625 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.07",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{4}{-5}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{4}{-5})^4",
["typ"] = "mocnina" },
["render"] = "5 + (\\frac{4}{-5})^4",
["typ"] = "plus" },
["render"] = "(5 + (\\frac{4}{-5})^4)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(5 + (\\frac{4}{-5})^4) \\cdot 3",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.08, bodu=6, $$3 - 10 \cdot (9 - 3)=\textcolor{white}{-57}$$return {
["body"] = 6,
["id"] = "lkx45i_0621_2231",
["obtiznost"] = 0.08,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -57,
["jmenovatel"] = 1 },
["render"] = "\\frac{-57}{1}",
["typ"] = "cislo" },
["tex"] = "-57",
["tex_float"] = "-57",
["x"] = -57 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.08",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "9 - 3",
["typ"] = "minus" },
["render"] = "(9 - 3)",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (9 - 3)",
["typ"] = "krat" },
["render"] = "3 - 10 \\cdot (9 - 3)",
["typ"] = "minus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.09, bodu=28, $$\frac{(\frac{(6 - 8)^3}{5})^3}{9}=\textcolor{white}{-\frac{512}{1125}}$$return {
["body"] = 28,
["id"] = "lM59kc_0621_2231",
["obtiznost"] = 0.3484,
["reseni"] = {
["float"] = -0.45511111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = -512,
["jmenovatel"] = 1125 },
["render"] = "\\frac{-512}{1125}",
["typ"] = "cislo" },
["tex"] = "-\\frac{512}{1125}",
["y"] = -512,
["z"] = 1125 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.09",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 - 8",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(6 - 8)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{(6 - 8)^3}{5}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{(6 - 8)^3}{5})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{(6 - 8)^3}{5})^3}{9}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.1, bodu=12, $$(\frac{-8}{2 \cdot 4})^3=\textcolor{white}{-1}$$return {
["body"] = 12,
["id"] = "gWX0qb_0621_2231",
["obtiznost"] = 0.1008,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1}{1}",
["typ"] = "cislo" },
["tex"] = "-1",
["tex_float"] = "-1",
["x"] = -1 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.1",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "2 \\cdot 4",
["typ"] = "krat" },
["render"] = "\\frac{-8}{2 \\cdot 4}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-8}{2 \\cdot 4})^3",
["typ"] = "mocnina" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.11, bodu=6, $$8 - (3 - 7) + 9=\textcolor{white}{21}$$return {
["body"] = 6,
["id"] = "DP2JgU_0621_2231",
["obtiznost"] = 0.11,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "\\frac{21}{1}",
["typ"] = "cislo" },
["tex"] = "21",
["tex_float"] = "21",
["x"] = 21 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.11",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3 - 7",
["typ"] = "minus" },
["render"] = "(3 - 7)",
["typ"] = "zavorka" },
["render"] = "8 - (3 - 7)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 - (3 - 7) + 9",
["typ"] = "plus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.12, bodu=13, $$7 - \frac{-6}{7} + 3=\textcolor{white}{10\frac{6}{7}}$$return {
["body"] = 13,
["id"] = "joJu9g_0621_2231",
["obtiznost"] = 0.12,
["reseni"] = {
["float"] = 10.857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 76,
["jmenovatel"] = 7 },
["render"] = "\\frac{76}{7}",
["typ"] = "cislo" },
["tex"] = "10\\frac{6}{7}",
["x"] = 10,
["y"] = 6,
["z"] = 7 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.12",
["zadani"] = {
["c1"] = {
["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"] = "\\frac{-6}{7}",
["typ"] = "lomeno" },
["render"] = "7 - \\frac{-6}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "7 - \\frac{-6}{7} + 3",
["typ"] = "plus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.13, bodu=14, $$\frac{-8 \cdot 10 - 10}{5}=\textcolor{white}{-18}$$return {
["body"] = 14,
["id"] = "Q7vfKd_0621_2231",
["obtiznost"] = 0.13,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "\\frac{-90}{5}",
["typ"] = "cislo" },
["tex"] = "-18",
["tex_float"] = "-18",
["x"] = -18 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 10 - 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-8 \\cdot 10 - 10}{5}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.14, bodu=14, $$\frac{-5}{9 \cdot 10 - (-4)}=\textcolor{white}{-\frac{5}{94}}$$return {
["body"] = 14,
["id"] = "YjO1cs_0621_2231",
["obtiznost"] = 0.14,
["reseni"] = {
["float"] = -0.053191489361702,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 94 },
["render"] = "\\frac{-5}{94}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{94}",
["y"] = -5,
["z"] = 94 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.14",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "9 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "9 \\cdot 10 - (-4)",
["typ"] = "minus" },
["render"] = "\\frac{-5}{9 \\cdot 10 - (-4)}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.15, bodu=7, $$(11 + 5 \cdot 12) \cdot -10=\textcolor{white}{-710}$$return {
["body"] = 7,
["id"] = "wVrFW2_0621_2231",
["obtiznost"] = 0.15,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -710,
["jmenovatel"] = 1 },
["render"] = "\\frac{-710}{1}",
["typ"] = "cislo" },
["tex"] = "-710",
["tex_float"] = "-710",
["x"] = -710 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.15",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["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"] = "11 + 5 \\cdot 12",
["typ"] = "plus" },
["render"] = "(11 + 5 \\cdot 12)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(11 + 5 \\cdot 12) \\cdot -10",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.16, bodu=15, $$\frac{6}{(6 + 3) \cdot 8}=\textcolor{white}{\frac{1}{12}}$$return {
["body"] = 15,
["id"] = "g6woas_0621_2231",
["obtiznost"] = 0.16,
["reseni"] = {
["float"] = 0.083333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 12 },
["render"] = "\\frac{6}{72}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{12}",
["y"] = 1,
["z"] = 12 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.16",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "6 + 3",
["typ"] = "plus" },
["render"] = "(6 + 3)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(6 + 3) \\cdot 8",
["typ"] = "krat" },
["render"] = "\\frac{6}{(6 + 3) \\cdot 8}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.17, bodu=19, $$(9 - (-9 - 9))^2 \cdot 8=\textcolor{white}{5832}$$return {
["body"] = 19,
["id"] = "0qmlMe_0621_2231",
["obtiznost"] = 0.462,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 5832,
["jmenovatel"] = 1 },
["render"] = "\\frac{5832}{1}",
["typ"] = "cislo" },
["tex"] = "5832",
["tex_float"] = "5832",
["x"] = 5832 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.17",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-9 - 9",
["typ"] = "minus" },
["render"] = "(-9 - 9)",
["typ"] = "zavorka" },
["render"] = "9 - (-9 - 9)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(9 - (-9 - 9))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(9 - (-9 - 9))^2 \\cdot 8",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.18, bodu=8, $$-9 + (-4) + 13 \cdot 10=\textcolor{white}{117}$$return {
["body"] = 8,
["id"] = "vroPGX_0621_2231",
["obtiznost"] = 0.18,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 117,
["jmenovatel"] = 1 },
["render"] = "\\frac{117}{1}",
["typ"] = "cislo" },
["tex"] = "117",
["tex_float"] = "117",
["x"] = 117 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-9 + (-4)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "13 \\cdot 10",
["typ"] = "krat" },
["render"] = "-9 + (-4) + 13 \\cdot 10",
["typ"] = "plus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.19, bodu=17, $$\frac{-5 + 6}{9 \cdot -9}=\textcolor{white}{-\frac{1}{81}}$$return {
["body"] = 17,
["id"] = "upD6sl_0621_2231",
["obtiznost"] = 0.19,
["reseni"] = {
["float"] = -0.012345679012346,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 81 },
["render"] = "\\frac{1}{-81}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{81}",
["y"] = -1,
["z"] = 81 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-5 + 6",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "9 \\cdot -9",
["typ"] = "krat" },
["render"] = "\\frac{-5 + 6}{9 \\cdot -9}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.2, bodu=20, $$(8 - 11)^4 \cdot \frac{7}{-7}=\textcolor{white}{-81}$$return {
["body"] = 20,
["id"] = "bHS5ah_0621_2231",
["obtiznost"] = 0.2328,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -81,
["jmenovatel"] = 1 },
["render"] = "\\frac{-81}{1}",
["typ"] = "cislo" },
["tex"] = "-81",
["tex_float"] = "-81",
["x"] = -81 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.2",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "8 - 11",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(8 - 11)^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-7}",
["typ"] = "lomeno" },
["render"] = "(8 - 11)^4 \\cdot \\frac{7}{-7}",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.21, bodu=49, $$9 \cdot (-2 + 4 + 4\frac{4}{6})^2 \cdot 5=\textcolor{white}{2000}$$return {
["body"] = 49,
["id"] = "08TaU9_0621_2231",
["obtiznost"] = 0.5736,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 2000,
["jmenovatel"] = 1 },
["render"] = "\\frac{18000}{9}",
["typ"] = "cislo" },
["tex"] = "2000",
["x"] = 2000 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.21",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "4 + 4\\frac{4}{6}",
["typ"] = "plus" },
["render"] = "-2 + 4 + 4\\frac{4}{6}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-2 + 4 + 4\\frac{4}{6})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(-2 + 4 + 4\\frac{4}{6})^2 \\cdot 5",
["typ"] = "krat" },
["render"] = "9 \\cdot (-2 + 4 + 4\\frac{4}{6})^2 \\cdot 5",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.22, bodu=19, $$8 + \frac{8}{7} \cdot -6=\textcolor{white}{1\frac{1}{7}}$$return {
["body"] = 19,
["id"] = "mNXTNJ_0621_2231",
["obtiznost"] = 0.22,
["reseni"] = {
["float"] = 1.1428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "\\frac{8}{7}",
["typ"] = "cislo" },
["tex"] = "1\\frac{1}{7}",
["x"] = 1,
["y"] = 1,
["z"] = 7 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.22",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{8}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{8}{7} \\cdot -6",
["typ"] = "krat" },
["render"] = "8 + \\frac{8}{7} \\cdot -6",
["typ"] = "plus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.23, bodu=19, $$(5 + \frac{-7}{7}) \cdot -5=\textcolor{white}{-20}$$return {
["body"] = 19,
["id"] = "Bh9X7j_0621_2231",
["obtiznost"] = 0.23,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "\\frac{-20}{1}",
["typ"] = "cislo" },
["tex"] = "-20",
["x"] = -20 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.23",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{7}",
["typ"] = "lomeno" },
["render"] = "5 + \\frac{-7}{7}",
["typ"] = "plus" },
["render"] = "(5 + \\frac{-7}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "(5 + \\frac{-7}{7}) \\cdot -5",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.24, bodu=36, $$6 + 1\frac{1}{5} \cdot 9 \cdot -12=\textcolor{white}{-123{,}6}$$return {
["body"] = 36,
["id"] = "LX9JoO_0621_2231",
["obtiznost"] = 0.44,
["reseni"] = {
["float"] = -123.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -618,
["jmenovatel"] = 5 },
["render"] = "\\frac{-618}{5}",
["typ"] = "cislo" },
["tex"] = "-123\\frac{3}{5}",
["tex_float"] = "-123{,}6",
["x"] = -123,
["y"] = 3,
["z"] = 5 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.24",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{5} \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{5} \\cdot 9 \\cdot -12",
["typ"] = "krat" },
["render"] = "6 + 1\\frac{1}{5} \\cdot 9 \\cdot -12",
["typ"] = "plus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.25, bodu=21, $$\frac{6}{-6 + 5} - (4 - 4)^2=\textcolor{white}{-6}$$return {
["body"] = 21,
["id"] = "YIZlWp_0621_2231",
["obtiznost"] = 0.2504,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "\\frac{-6}{1}",
["typ"] = "cislo" },
["tex"] = "-6",
["x"] = -6 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-6 + 5",
["typ"] = "plus" },
["render"] = "\\frac{6}{-6 + 5}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "4 - 4",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(4 - 4)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{6}{-6 + 5} - (4 - 4)^2",
["typ"] = "minus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.26, bodu=81, $$(-8 - 3\frac{1}{4}) \cdot \frac{3\frac{1}{5}}{-8 + 1\frac{4}{5}}=\textcolor{white}{5\frac{25}{31}}$$return {
["body"] = 81,
["id"] = "kCta1t_0621_2231",
["obtiznost"] = 0.86,
["reseni"] = {
["float"] = 5.8064516129032,
["objekt"] = {
["hodnota"] = {
["citatel"] = 180,
["jmenovatel"] = 31 },
["render"] = "\\frac{720}{124}",
["typ"] = "cislo" },
["tex"] = "5\\frac{25}{31}",
["x"] = 5,
["y"] = 25,
["z"] = 31 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.26",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "-8 - 3\\frac{1}{4}",
["typ"] = "minus" },
["render"] = "(-8 - 3\\frac{1}{4})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "-8 + 1\\frac{4}{5}",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{1}{5}}{-8 + 1\\frac{4}{5}}",
["typ"] = "lomeno" },
["render"] = "(-8 - 3\\frac{1}{4}) \\cdot \\frac{3\\frac{1}{5}}{-8 + 1\\frac{4}{5}}",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.27, bodu=11, $$(-14 + 8) \cdot 9 \cdot 6=\textcolor{white}{-324}$$return {
["body"] = 11,
["id"] = "7k5G28_0621_2231",
["obtiznost"] = 0.27,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -324,
["jmenovatel"] = 1 },
["render"] = "\\frac{-324}{1}",
["typ"] = "cislo" },
["tex"] = "-324",
["x"] = -324 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.27",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-14 + 8",
["typ"] = "plus" },
["render"] = "(-14 + 8)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "9 \\cdot 6",
["typ"] = "krat" },
["render"] = "(-14 + 8) \\cdot 9 \\cdot 6",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.28, bodu=60, $$2\frac{5}{8} + \frac{\frac{4\frac{3}{8}}{6}}{8}=\textcolor{white}{2\frac{275}{384}}$$return {
["body"] = 60,
["id"] = "G2aZSi_0621_2231",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = 2.7161458333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1043,
["jmenovatel"] = 384 },
["render"] = "\\frac{8344}{3072}",
["typ"] = "cislo" },
["tex"] = "2\\frac{275}{384}",
["x"] = 2,
["y"] = 275,
["z"] = 384 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.28",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{8}}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{3}{8}}{6}}{8}",
["typ"] = "lomeno" },
["render"] = "2\\frac{5}{8} + \\frac{\\frac{4\\frac{3}{8}}{6}}{8}",
["typ"] = "plus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.29, bodu=24, $$\frac{\frac{15}{-12}}{-13} - 4=\textcolor{white}{-3\frac{47}{52}}$$return {
["body"] = 24,
["id"] = "jqW3oX_0621_2231",
["obtiznost"] = 0.29,
["reseni"] = {
["float"] = -3.9038461538462,
["objekt"] = {
["hodnota"] = {
["citatel"] = -203,
["jmenovatel"] = 52 },
["render"] = "\\frac{-203}{52}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{47}{52}",
["x"] = -3,
["y"] = 47,
["z"] = 52 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{15}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{15}{-12}}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{15}{-12}}{-13} - 4",
["typ"] = "minus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.3, bodu=41, $$\frac{-7 + (-10)}{\frac{12}{1\frac{3}{4}}}=\textcolor{white}{-2\frac{23}{48}}$$return {
["body"] = 41,
["id"] = "KtIr2H_0621_2231",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = -2.4791666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -119,
["jmenovatel"] = 48 },
["render"] = "\\frac{-119}{48}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{23}{48}",
["x"] = -2,
["y"] = 23,
["z"] = 48 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-7 + (-10)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{1\\frac{3}{4}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-7 + (-10)}{\\frac{12}{1\\frac{3}{4}}}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.31, bodu=42, $$\frac{\frac{7}{12 - (10 + 3\frac{3}{5})}}{13}=\textcolor{white}{-\frac{35}{104}}$$return {
["body"] = 42,
["id"] = "vEJ2fX_0621_2231",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = -0.33653846153846,
["objekt"] = {
["hodnota"] = {
["citatel"] = -35,
["jmenovatel"] = 104 },
["render"] = "\\frac{-35}{104}",
["typ"] = "cislo" },
["tex"] = "-\\frac{35}{104}",
["y"] = -35,
["z"] = 104 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "10 + 3\\frac{3}{5}",
["typ"] = "plus" },
["render"] = "(10 + 3\\frac{3}{5})",
["typ"] = "zavorka" },
["render"] = "12 - (10 + 3\\frac{3}{5})",
["typ"] = "minus" },
["render"] = "\\frac{7}{12 - (10 + 3\\frac{3}{5})}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{7}{12 - (10 + 3\\frac{3}{5})}}{13}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.32, bodu=43, $$(-7 - 8) \cdot (3\frac{4}{7} + 9 \cdot -13)=\textcolor{white}{1701\frac{3}{7}}$$return {
["body"] = 43,
["id"] = "git8pO_0621_2231",
["obtiznost"] = 0.52,
["reseni"] = {
["float"] = 1701.4285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11910,
["jmenovatel"] = 7 },
["render"] = "\\frac{11910}{7}",
["typ"] = "cislo" },
["tex"] = "1701\\frac{3}{7}",
["x"] = 1701,
["y"] = 3,
["z"] = 7 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.32",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-7 - 8",
["typ"] = "minus" },
["render"] = "(-7 - 8)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "9 \\cdot -13",
["typ"] = "krat" },
["render"] = "3\\frac{4}{7} + 9 \\cdot -13",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{7} + 9 \\cdot -13)",
["typ"] = "zavorka" },
["render"] = "(-7 - 8) \\cdot (3\\frac{4}{7} + 9 \\cdot -13)",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.33, bodu=27, $$9 \cdot ((\frac{7}{-7})^2 + 8)=\textcolor{white}{81}$$return {
["body"] = 27,
["id"] = "94kaJr_0621_2231",
["obtiznost"] = 0.3308,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 1 },
["render"] = "\\frac{81}{1}",
["typ"] = "cislo" },
["tex"] = "81",
["tex_float"] = "81",
["x"] = 81 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{7}{-7})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(\\frac{7}{-7})^2 + 8",
["typ"] = "plus" },
["render"] = "((\\frac{7}{-7})^2 + 8)",
["typ"] = "zavorka" },
["render"] = "9 \\cdot ((\\frac{7}{-7})^2 + 8)",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.34, bodu=27, $$\frac{8}{\frac{-7}{8} + (-7)}=\textcolor{white}{-1\frac{1}{63}}$$return {
["body"] = 27,
["id"] = "Nf861E_0621_2231",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = -1.015873015873,
["objekt"] = {
["hodnota"] = {
["citatel"] = -64,
["jmenovatel"] = 63 },
["render"] = "\\frac{64}{-63}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1}{63}",
["x"] = -1,
["y"] = 1,
["z"] = 63 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{8} + (-7)",
["typ"] = "plus" },
["render"] = "\\frac{8}{\\frac{-7}{8} + (-7)}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.35, bodu=28, $$\frac{15}{3} \cdot 13 - (-7)=\textcolor{white}{72}$$return {
["body"] = 28,
["id"] = "egRF0H_0621_2231",
["obtiznost"] = 0.35,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 72,
["jmenovatel"] = 1 },
["render"] = "\\frac{72}{1}",
["typ"] = "cislo" },
["tex"] = "72",
["x"] = 72 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{15}{3} \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{15}{3} \\cdot 13 - (-7)",
["typ"] = "minus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.36, bodu=29, $$\frac{-10}{9} \cdot -13 - (-8)=\textcolor{white}{22\frac{4}{9}}$$return {
["body"] = 29,
["id"] = "O3tgCu_0621_2231",
["obtiznost"] = 0.36,
["reseni"] = {
["float"] = 22.444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 202,
["jmenovatel"] = 9 },
["render"] = "\\frac{202}{9}",
["typ"] = "cislo" },
["tex"] = "22\\frac{4}{9}",
["x"] = 22,
["y"] = 4,
["z"] = 9 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{9} \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{9} \\cdot -13 - (-8)",
["typ"] = "minus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.37, bodu=15, $$(-7 + 14 \cdot 6 - (-7)) \cdot 11=\textcolor{white}{924}$$return {
["body"] = 15,
["id"] = "yBmn7z_0621_2231",
["obtiznost"] = 0.37,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 924,
["jmenovatel"] = 1 },
["render"] = "\\frac{924}{1}",
["typ"] = "cislo" },
["tex"] = "924",
["tex_float"] = "924",
["x"] = 924 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.37",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "14 \\cdot 6",
["typ"] = "krat" },
["render"] = "-7 + 14 \\cdot 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-7 + 14 \\cdot 6 - (-7)",
["typ"] = "minus" },
["render"] = "(-7 + 14 \\cdot 6 - (-7))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(-7 + 14 \\cdot 6 - (-7)) \\cdot 11",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.38, bodu=31, $$\frac{-7 + (-10)}{\frac{-8 - 13}{-9}}=\textcolor{white}{-7\frac{2}{7}}$$return {
["body"] = 31,
["id"] = "OkggyQ_0621_2231",
["obtiznost"] = 0.38,
["reseni"] = {
["float"] = -7.2857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -51,
["jmenovatel"] = 7 },
["render"] = "\\frac{-51}{7}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{2}{7}",
["x"] = -7,
["y"] = 2,
["z"] = 7 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-7 + (-10)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-8 - 13",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-8 - 13}{-9}",
["typ"] = "lomeno" },
["render"] = "\\frac{-7 + (-10)}{\\frac{-8 - 13}{-9}}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.39, bodu=50, $$\frac{3\frac{4}{8} \cdot 9 \cdot 6}{11}=\textcolor{white}{17\frac{2}{11}}$$return {
["body"] = 50,
["id"] = "BGa1ug_0621_2231",
["obtiznost"] = 0.59,
["reseni"] = {
["float"] = 17.181818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = 189,
["jmenovatel"] = 11 },
["render"] = "\\frac{189}{11}",
["typ"] = "cislo" },
["tex"] = "17\\frac{2}{11}",
["x"] = 17,
["y"] = 2,
["z"] = 11 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} \\cdot 9 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{8} \\cdot 9 \\cdot 6}{11}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.4, bodu=32, $$-10 \cdot (\frac{-8}{-15} \cdot -9 + 10)=\textcolor{white}{-52}$$return {
["body"] = 32,
["id"] = "k7ZfNc_0621_2231",
["obtiznost"] = 0.4,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -52,
["jmenovatel"] = 1 },
["render"] = "\\frac{-260}{5}",
["typ"] = "cislo" },
["tex"] = "-52",
["tex_float"] = "-52",
["x"] = -52 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.4",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-15} \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-15} \\cdot -9 + 10",
["typ"] = "plus" },
["render"] = "(\\frac{-8}{-15} \\cdot -9 + 10)",
["typ"] = "zavorka" },
["render"] = "-10 \\cdot (\\frac{-8}{-15} \\cdot -9 + 10)",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.41, bodu=75, $$\frac{\frac{-4}{7}}{3\frac{5}{10}} \cdot 1\frac{1}{8}=\textcolor{white}{-\frac{9}{49}}$$return {
["body"] = 75,
["id"] = "U6Zjxz_0621_2231",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = -0.18367346938776,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 49 },
["render"] = "\\frac{-72}{392}",
["typ"] = "cislo" },
["tex"] = "-\\frac{9}{49}",
["y"] = -9,
["z"] = 49 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-4}{7}}{3\\frac{5}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-4}{7}}{3\\frac{5}{10}} \\cdot 1\\frac{1}{8}",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.42, bodu=53, $$4 \cdot -12 - ((4 - 4)^2 - 2\frac{2}{8})=\textcolor{white}{-45{,}75}$$return {
["body"] = 53,
["id"] = "gmiU2L_0621_2231",
["obtiznost"] = 0.6204,
["reseni"] = {
["float"] = -45.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -183,
["jmenovatel"] = 4 },
["render"] = "\\frac{-183}{4}",
["typ"] = "cislo" },
["tex"] = "-45\\frac{3}{4}",
["tex_float"] = "-45{,}75",
["x"] = -45,
["y"] = 3,
["z"] = 4 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "4 \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "4 - 4",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(4 - 4)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "(4 - 4)^2 - 2\\frac{2}{8}",
["typ"] = "minus" },
["render"] = "((4 - 4)^2 - 2\\frac{2}{8})",
["typ"] = "zavorka" },
["render"] = "4 \\cdot -12 - ((4 - 4)^2 - 2\\frac{2}{8})",
["typ"] = "minus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.43, bodu=55, $$4\frac{4}{10} \cdot (8 \cdot -6 \cdot -6 + (-9))=\textcolor{white}{1227{,}6}$$return {
["body"] = 55,
["id"] = "gKbULC_0621_2231",
["obtiznost"] = 0.63,
["reseni"] = {
["float"] = 1227.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6138,
["jmenovatel"] = 5 },
["render"] = "\\frac{6138}{5}",
["typ"] = "cislo" },
["tex"] = "1227\\frac{3}{5}",
["tex_float"] = "1227{,}6",
["x"] = 1227,
["y"] = 3,
["z"] = 5 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.43",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-6 \\cdot -6",
["typ"] = "krat" },
["render"] = "8 \\cdot -6 \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "8 \\cdot -6 \\cdot -6 + (-9)",
["typ"] = "plus" },
["render"] = "(8 \\cdot -6 \\cdot -6 + (-9))",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{10} \\cdot (8 \\cdot -6 \\cdot -6 + (-9))",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.44, bodu=56, $$\frac{3\frac{1}{3}}{15} + \frac{-10}{7 + 8}=\textcolor{white}{-\frac{4}{9}}$$return {
["body"] = 56,
["id"] = "ltnIgA_0621_2231",
["obtiznost"] = 0.64,
["reseni"] = {
["float"] = -0.44444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 9 },
["render"] = "\\frac{-12}{27}",
["typ"] = "cislo" },
["tex"] = "-\\frac{4}{9}",
["y"] = -4,
["z"] = 9 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{3}}{15}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 + 8",
["typ"] = "plus" },
["render"] = "\\frac{-10}{7 + 8}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{1}{3}}{15} + \\frac{-10}{7 + 8}",
["typ"] = "plus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.45, bodu=57, $$\frac{\frac{\frac{-7}{8}}{1\frac{4}{8}}}{11}=\textcolor{white}{-\frac{7}{132}}$$return {
["body"] = 57,
["id"] = "U8YRpD_0621_2231",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = -0.053030303030303,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 132 },
["render"] = "\\frac{-7}{132}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{132}",
["y"] = -7,
["z"] = 132 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-7}{8}}{1\\frac{4}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{-7}{8}}{1\\frac{4}{8}}}{11}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.46, bodu=39, $$\frac{(\frac{10}{-6})^2}{-5 + 9 + 13}=\textcolor{white}{\frac{25}{153}}$$return {
["body"] = 39,
["id"] = "Hy5QH3_0621_2231",
["obtiznost"] = 0.4736,
["reseni"] = {
["float"] = 0.16339869281046,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 153 },
["render"] = "\\frac{25}{153}",
["typ"] = "cislo" },
["tex"] = "\\frac{25}{153}",
["y"] = 25,
["z"] = 153 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.46",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{-6})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-5 + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-5 + 9 + 13",
["typ"] = "plus" },
["render"] = "\\frac{(\\frac{10}{-6})^2}{-5 + 9 + 13}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.47, bodu=83, $$\frac{2\frac{2}{9} + \frac{-12}{10}}{1\frac{2}{9} + 12}=\textcolor{white}{\frac{46}{595}}$$return {
["body"] = 83,
["id"] = "bXQC32_0621_2231",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = 0.077310924369748,
["objekt"] = {
["hodnota"] = {
["citatel"] = 46,
["jmenovatel"] = 595 },
["render"] = "\\frac{414}{5355}",
["typ"] = "cislo" },
["tex"] = "\\frac{46}{595}",
["y"] = 46,
["z"] = 595 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{10}",
["typ"] = "lomeno" },
["render"] = "2\\frac{2}{9} + \\frac{-12}{10}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{9} + 12",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{2}{9} + \\frac{-12}{10}}{1\\frac{2}{9} + 12}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.48, bodu=68, $$\frac{3\frac{4}{4}}{15} + (-7 \cdot (3\frac{3}{4} + (-7))^2)=\textcolor{white}{-73\frac{161}{240}}$$return {
["body"] = 68,
["id"] = "JzxZLd_0621_2231",
["obtiznost"] = 0.754,
["reseni"] = {
["float"] = -73.670833333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17681,
["jmenovatel"] = 240 },
["render"] = "\\frac{-17681}{240}",
["typ"] = "cislo" },
["tex"] = "-73\\frac{161}{240}",
["x"] = -73,
["y"] = 161,
["z"] = 240 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "3\\frac{4}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{4}}{15}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{4} + (-7)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{3}{4} + (-7))^2",
["typ"] = "mocnina" },
["render"] = "-7 \\cdot (3\\frac{3}{4} + (-7))^2",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{4}{4}}{15} + (-7 \\cdot (3\\frac{3}{4} + (-7))^2)",
["typ"] = "plus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.49, bodu=85, $$\frac{3 \cdot (2\frac{1}{3} - (-14) + 1\frac{4}{9})}{-12}=\textcolor{white}{-4\frac{4}{9}}$$return {
["body"] = 85,
["id"] = "yHHoAo_0621_2231",
["obtiznost"] = 0.89,
["reseni"] = {
["float"] = -4.4444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -40,
["jmenovatel"] = 9 },
["render"] = "\\frac{160}{-36}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{4}{9}",
["x"] = -4,
["y"] = 4,
["z"] = 9 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{3} - (-14)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{3} - (-14) + 1\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{3} - (-14) + 1\\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "3 \\cdot (2\\frac{1}{3} - (-14) + 1\\frac{4}{9})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{3 \\cdot (2\\frac{1}{3} - (-14) + 1\\frac{4}{9})}{-12}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.5, bodu=63, $$(\frac{7}{7})^3 - (1\frac{3}{6} - (-13 + 11)^3)=\textcolor{white}{-8{,}5}$$return {
["body"] = 63,
["id"] = "5E1mS8_0621_2231",
["obtiznost"] = 0.7044,
["reseni"] = {
["float"] = -8.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 2 },
["render"] = "\\frac{-17}{2}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{1}{2}",
["tex_float"] = "-8{,}5",
["x"] = -8,
["y"] = 1,
["z"] = 2 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.5",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{7}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{7}{7})^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-13 + 11",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-13 + 11)^3",
["typ"] = "mocnina" },
["render"] = "1\\frac{3}{6} - (-13 + 11)^3",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{6} - (-13 + 11)^3)",
["typ"] = "zavorka" },
["render"] = "(\\frac{7}{7})^3 - (1\\frac{3}{6} - (-13 + 11)^3)",
["typ"] = "minus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.51, bodu=88, $$\frac{3\frac{1}{2}}{\frac{(10 + 6) \cdot 3\frac{5}{9}}{-7}}=\textcolor{white}{-\frac{441}{1024}}$$return {
["body"] = 88,
["id"] = "B3Q0Qq_0621_2231",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = -0.4306640625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -441,
["jmenovatel"] = 1024 },
["render"] = "\\frac{441}{-1024}",
["typ"] = "cislo" },
["tex"] = "-\\frac{441}{1024}",
["y"] = -441,
["z"] = 1024 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.51",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "10 + 6",
["typ"] = "plus" },
["render"] = "(10 + 6)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "(10 + 6) \\cdot 3\\frac{5}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{(10 + 6) \\cdot 3\\frac{5}{9}}{-7}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{1}{2}}{\\frac{(10 + 6) \\cdot 3\\frac{5}{9}}{-7}}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.52, bodu=146, $$\frac{1\frac{5}{9}}{\frac{1\frac{5}{8} + 16}{3\frac{5}{7} + 4\frac{4}{8} + 14}}=\textcolor{white}{1\frac{1219}{1269}}$$return {
["body"] = 146,
["id"] = "q4X6Qf_0621_2231",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = 1.9605988967691,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2488,
["jmenovatel"] = 1269 },
["render"] = "\\frac{17416}{8883}",
["typ"] = "cislo" },
["tex"] = "1\\frac{1219}{1269}",
["x"] = 1,
["y"] = 1219,
["z"] = 1269 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.52",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{8} + 16",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} + 14",
["typ"] = "plus" },
["render"] = "3\\frac{5}{7} + 4\\frac{4}{8} + 14",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{5}{8} + 16}{3\\frac{5}{7} + 4\\frac{4}{8} + 14}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{5}{9}}{\\frac{1\\frac{5}{8} + 16}{3\\frac{5}{7} + 4\\frac{4}{8} + 14}}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.53, bodu=231, $$\frac{(4\frac{4}{8} + 9)^2}{4\frac{5}{7}} + 1\frac{5}{9} - (1\frac{2}{7} + 1\frac{2}{6})=\textcolor{white}{37\frac{1651}{2772}}$$return {
["body"] = 231,
["id"] = "G37Cko_0621_2231",
["obtiznost"] = 1.8232,
["reseni"] = {
["float"] = 37.595598845599,
["objekt"] = {
["hodnota"] = {
["citatel"] = 104215,
["jmenovatel"] = 2772 },
["render"] = "\\frac{104215}{2772}",
["typ"] = "cislo" },
["tex"] = "37\\frac{1651}{2772}",
["x"] = 37,
["y"] = 1651,
["z"] = 2772 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{4}{8} + 9)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{(4\\frac{4}{8} + 9)^2}{4\\frac{5}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{7} + 1\\frac{2}{6}",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{7} + 1\\frac{2}{6})",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{9} - (1\\frac{2}{7} + 1\\frac{2}{6})",
["typ"] = "minus" },
["render"] = "\\frac{(4\\frac{4}{8} + 9)^2}{4\\frac{5}{7}} + 1\\frac{5}{9} - (1\\frac{2}{7} + 1\\frac{2}{6})",
["typ"] = "plus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.54, bodu=119, $$2\frac{1}{6} + 9 - (-14) + 2\frac{5}{12} - (3\frac{2}{4} + 5)=\textcolor{white}{19\frac{1}{12}}$$return {
["body"] = 119,
["id"] = "eBV199_0621_2231",
["obtiznost"] = 1.14,
["reseni"] = {
["float"] = 19.083333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 229,
["jmenovatel"] = 12 },
["render"] = "\\frac{458}{24}",
["typ"] = "cislo" },
["tex"] = "19\\frac{1}{12}",
["x"] = 19,
["y"] = 1,
["z"] = 12 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "9 - (-14)",
["typ"] = "minus" },
["render"] = "2\\frac{1}{6} + 9 - (-14)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{6} + 9 - (-14) + 2\\frac{5}{12}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{4} + 5",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{4} + 5)",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{6} + 9 - (-14) + 2\\frac{5}{12} - (3\\frac{2}{4} + 5)",
["typ"] = "minus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.55, bodu=68, $$\frac{7 \cdot 3\frac{3}{9}}{4\frac{1}{1} + \frac{-9}{7}}=\textcolor{white}{6\frac{11}{39}}$$return {
["body"] = 68,
["id"] = "1TQ5W6_0621_2231",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = 6.2820512820513,
["objekt"] = {
["hodnota"] = {
["citatel"] = 245,
["jmenovatel"] = 39 },
["render"] = "\\frac{490}{78}",
["typ"] = "cislo" },
["tex"] = "6\\frac{11}{39}",
["x"] = 6,
["y"] = 11,
["z"] = 39 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "7 \\cdot 3\\frac{3}{9}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "4\\frac{1}{1}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{7}",
["typ"] = "lomeno" },
["render"] = "4\\frac{1}{1} + \\frac{-9}{7}",
["typ"] = "plus" },
["render"] = "\\frac{7 \\cdot 3\\frac{3}{9}}{4\\frac{1}{1} + \\frac{-9}{7}}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.56, bodu=69, $$(3\frac{2}{7} + (-10 + 7) - \frac{-7}{13}) \cdot 11=\textcolor{white}{9\frac{6}{91}}$$return {
["body"] = 69,
["id"] = "XDODIc_0621_2231",
["obtiznost"] = 0.76,
["reseni"] = {
["float"] = 9.0659340659341,
["objekt"] = {
["hodnota"] = {
["citatel"] = 825,
["jmenovatel"] = 91 },
["render"] = "\\frac{825}{91}",
["typ"] = "cislo" },
["tex"] = "9\\frac{6}{91}",
["x"] = 9,
["y"] = 6,
["z"] = 91 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.56",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-10 + 7",
["typ"] = "plus" },
["render"] = "3\\frac{2}{7} + (-10 + 7)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{13}",
["typ"] = "lomeno" },
["render"] = "3\\frac{2}{7} + (-10 + 7) - \\frac{-7}{13}",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{7} + (-10 + 7) - \\frac{-7}{13})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(3\\frac{2}{7} + (-10 + 7) - \\frac{-7}{13}) \\cdot 11",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.57, bodu=123, $$2\frac{5}{12} + (-6) + \frac{\frac{4\frac{5}{8}}{1\frac{3}{6}}}{9}=\textcolor{white}{-3\frac{13}{54}}$$return {
["body"] = 123,
["id"] = "SUG5da_0621_2231",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = -3.2407407407407,
["objekt"] = {
["hodnota"] = {
["citatel"] = -175,
["jmenovatel"] = 54 },
["render"] = "\\frac{-4200}{1296}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{13}{54}",
["x"] = -3,
["y"] = 13,
["z"] = 54 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{12} + (-6)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{8}}{1\\frac{3}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{5}{8}}{1\\frac{3}{6}}}{9}",
["typ"] = "lomeno" },
["render"] = "2\\frac{5}{12} + (-6) + \\frac{\\frac{4\\frac{5}{8}}{1\\frac{3}{6}}}{9}",
["typ"] = "plus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.58, bodu=71, $$\frac{\frac{-13}{2\frac{3}{9}}}{\frac{14}{-18}}=\textcolor{white}{7\frac{8}{49}}$$return {
["body"] = 71,
["id"] = "Xtk7TR_0621_2231",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = 7.1632653061224,
["objekt"] = {
["hodnota"] = {
["citatel"] = 351,
["jmenovatel"] = 49 },
["render"] = "\\frac{-351}{-49}",
["typ"] = "cislo" },
["tex"] = "7\\frac{8}{49}",
["x"] = 7,
["y"] = 8,
["z"] = 49 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{2\\frac{3}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{14}{-18}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{-13}{2\\frac{3}{9}}}{\\frac{14}{-18}}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.59, bodu=98, $$\frac{15 - 10}{3\frac{5}{10} - (2\frac{2}{6} + (-12))}=\textcolor{white}{\frac{30}{79}}$$return {
["body"] = 98,
["id"] = "RMYE2E_0621_2231",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = 0.37974683544304,
["objekt"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 79 },
["render"] = "\\frac{30}{79}",
["typ"] = "cislo" },
["tex"] = "\\frac{30}{79}",
["y"] = 30,
["z"] = 79 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "15 - 10",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{6} + (-12)",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{6} + (-12))",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{10} - (2\\frac{2}{6} + (-12))",
["typ"] = "minus" },
["render"] = "\\frac{15 - 10}{3\\frac{5}{10} - (2\\frac{2}{6} + (-12))}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.6, bodu=51, $$\frac{9 + 17 - (-5)}{-7 \cdot -15 - 17}=\textcolor{white}{\frac{31}{88}}$$return {
["body"] = 51,
["id"] = "Qqzdnk_0621_2231",
["obtiznost"] = 0.6,
["reseni"] = {
["float"] = 0.35227272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 88 },
["render"] = "\\frac{31}{88}",
["typ"] = "cislo" },
["tex"] = "\\frac{31}{88}",
["y"] = 31,
["z"] = 88 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "9 + 17",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "9 + 17 - (-5)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-7 \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "-7 \\cdot -15 - 17",
["typ"] = "minus" },
["render"] = "\\frac{9 + 17 - (-5)}{-7 \\cdot -15 - 17}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.61, bodu=75, $$\frac{4\frac{3}{10}}{-3} + \frac{-6 \cdot -17}{13}=\textcolor{white}{6\frac{161}{390}}$$return {
["body"] = 75,
["id"] = "kiqbR4_0621_2231",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = 6.4128205128205,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2501,
["jmenovatel"] = 390 },
["render"] = "\\frac{2501}{390}",
["typ"] = "cislo" },
["tex"] = "6\\frac{161}{390}",
["x"] = 6,
["y"] = 161,
["z"] = 390 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{10}}{-3}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-6 \\cdot -17",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-6 \\cdot -17}{13}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{3}{10}}{-3} + \\frac{-6 \\cdot -17}{13}",
["typ"] = "plus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.62, bodu=131, $$(\frac{4\frac{4}{6}}{2\frac{3}{10}} + (-12 + 3\frac{1}{5}) \cdot -14) \cdot 12=\textcolor{white}{1502\frac{86}{115}}$$return {
["body"] = 131,
["id"] = "oGjbXQ_0621_2231",
["obtiznost"] = 1.22,
["reseni"] = {
["float"] = 1502.747826087,
["objekt"] = {
["hodnota"] = {
["citatel"] = 172816,
["jmenovatel"] = 115 },
["render"] = "\\frac{518448}{345}",
["typ"] = "cislo" },
["tex"] = "1502\\frac{86}{115}",
["x"] = 1502,
["y"] = 86,
["z"] = 115 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.62",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{6}}{2\\frac{3}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-12 + 3\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "(-12 + 3\\frac{1}{5})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "(-12 + 3\\frac{1}{5}) \\cdot -14",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{4}{6}}{2\\frac{3}{10}} + (-12 + 3\\frac{1}{5}) \\cdot -14",
["typ"] = "plus" },
["render"] = "(\\frac{4\\frac{4}{6}}{2\\frac{3}{10}} + (-12 + 3\\frac{1}{5}) \\cdot -14)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(\\frac{4\\frac{4}{6}}{2\\frac{3}{10}} + (-12 + 3\\frac{1}{5}) \\cdot -14) \\cdot 12",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.63, bodu=143, $$(3\frac{4}{11} \cdot 10 + 18 - 3\frac{1}{7}) \cdot (-20 + (-6))^2=\textcolor{white}{32781\frac{47}{77}}$$return {
["body"] = 143,
["id"] = "sYPUJD_0621_2231",
["obtiznost"] = 1.3008,
["reseni"] = {
["float"] = 32781.61038961,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2524184,
["jmenovatel"] = 77 },
["render"] = "\\frac{2524184}{77}",
["typ"] = "cislo" },
["tex"] = "32781\\frac{47}{77}",
["x"] = 32781,
["y"] = 47,
["z"] = 77 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.63",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{11} \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "18 - 3\\frac{1}{7}",
["typ"] = "minus" },
["render"] = "3\\frac{4}{11} \\cdot 10 + 18 - 3\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{11} \\cdot 10 + 18 - 3\\frac{1}{7})",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-20 + (-6)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-20 + (-6))^2",
["typ"] = "mocnina" },
["render"] = "(3\\frac{4}{11} \\cdot 10 + 18 - 3\\frac{1}{7}) \\cdot (-20 + (-6))^2",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.64, bodu=79, $$-13 + (-14 - 11 + 4\frac{4}{9} - (-10) + (-10 - (-3)))=\textcolor{white}{-30\frac{5}{9}}$$return {
["body"] = 79,
["id"] = "mpCWe8_0621_2231",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = -30.555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -275,
["jmenovatel"] = 9 },
["render"] = "\\frac{-275}{9}",
["typ"] = "cislo" },
["tex"] = "-30\\frac{5}{9}",
["x"] = -30,
["y"] = 5,
["z"] = 9 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.64",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-14 - 11",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} - (-10)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "-10 - (-3)",
["typ"] = "minus" },
["render"] = "4\\frac{4}{9} - (-10) + (-10 - (-3))",
["typ"] = "plus" },
["render"] = "-14 - 11 + 4\\frac{4}{9} - (-10) + (-10 - (-3))",
["typ"] = "plus" },
["render"] = "-13 + (-14 - 11 + 4\\frac{4}{9} - (-10) + (-10 - (-3)))",
["typ"] = "plus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.65, bodu=106, $$-15 \cdot \frac{3\frac{5}{9}}{3\frac{2}{7} - 8 \cdot 19}=\textcolor{white}{\frac{1120}{3123}}$$return {
["body"] = 106,
["id"] = "v99xsM_0621_2231",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = 0.35862952289465,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1120,
["jmenovatel"] = 3123 },
["render"] = "\\frac{3360}{9369}",
["typ"] = "cislo" },
["tex"] = "\\frac{1120}{3123}",
["y"] = 1120,
["z"] = 3123 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.65",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "8 \\cdot 19",
["typ"] = "krat" },
["render"] = "3\\frac{2}{7} - 8 \\cdot 19",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{5}{9}}{3\\frac{2}{7} - 8 \\cdot 19}",
["typ"] = "lomeno" },
["render"] = "-15 \\cdot \\frac{3\\frac{5}{9}}{3\\frac{2}{7} - 8 \\cdot 19}",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.66, bodu=168, $$\frac{4\frac{5}{11}}{-16} - (-3) + 3\frac{2}{8} \cdot 4\frac{5}{10} + 4\frac{2}{4}=\textcolor{white}{21\frac{149}{176}}$$return {
["body"] = 168,
["id"] = "crilo9_0621_2231",
["obtiznost"] = 1.46,
["reseni"] = {
["float"] = 21.846590909091,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3845,
["jmenovatel"] = 176 },
["render"] = "\\frac{30760}{1408}",
["typ"] = "cislo" },
["tex"] = "21\\frac{149}{176}",
["x"] = 21,
["y"] = 149,
["z"] = 176 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{11}}{-16}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{11}}{-16} - (-3)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{8} \\cdot 4\\frac{5}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{8} \\cdot 4\\frac{5}{10} + 4\\frac{2}{4}",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{5}{11}}{-16} - (-3) + 3\\frac{2}{8} \\cdot 4\\frac{5}{10} + 4\\frac{2}{4}",
["typ"] = "plus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.67, bodu=83, $$-17 + 15 - (-9) - 10 \cdot 1\frac{5}{13} - (-8)=\textcolor{white}{1\frac{2}{13}}$$return {
["body"] = 83,
["id"] = "ABGq5u_0621_2231",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = 1.1538461538462,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 13 },
["render"] = "\\frac{15}{13}",
["typ"] = "cislo" },
["tex"] = "1\\frac{2}{13}",
["x"] = 1,
["y"] = 2,
["z"] = 13 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "15 - (-9)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 1\\frac{5}{13}",
["typ"] = "krat" },
["render"] = "15 - (-9) - 10 \\cdot 1\\frac{5}{13}",
["typ"] = "minus" },
["render"] = "-17 + 15 - (-9) - 10 \\cdot 1\\frac{5}{13}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-17 + 15 - (-9) - 10 \\cdot 1\\frac{5}{13} - (-8)",
["typ"] = "minus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.68, bodu=205, $$3\frac{5}{10} + \frac{4\frac{1}{4}}{\frac{-16 + 4\frac{5}{8}}{1\frac{4}{11}}} + 2\frac{5}{8}=\textcolor{white}{5\frac{4929}{8008}}$$return {
["body"] = 205,
["id"] = "8hp823_0621_2231",
["obtiznost"] = 1.68,
["reseni"] = {
["float"] = 5.6155094905095,
["objekt"] = {
["hodnota"] = {
["citatel"] = 44969,
["jmenovatel"] = 8008 },
["render"] = "\\frac{89938}{16016}",
["typ"] = "cislo" },
["tex"] = "5\\frac{4929}{8008}",
["x"] = 5,
["y"] = 4929,
["z"] = 8008 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "-16 + 4\\frac{5}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{-16 + 4\\frac{5}{8}}{1\\frac{4}{11}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{1}{4}}{\\frac{-16 + 4\\frac{5}{8}}{1\\frac{4}{11}}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{5}{10} + \\frac{4\\frac{1}{4}}{\\frac{-16 + 4\\frac{5}{8}}{1\\frac{4}{11}}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} + \\frac{4\\frac{1}{4}}{\\frac{-16 + 4\\frac{5}{8}}{1\\frac{4}{11}}} + 2\\frac{5}{8}",
["typ"] = "plus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.69, bodu=141, $$\frac{2\frac{4}{9} - (-16) - (-15)}{2\frac{5}{12} \cdot 1\frac{1}{7}}=\textcolor{white}{12\frac{19}{174}}$$return {
["body"] = 141,
["id"] = "U54yY2_0621_2231",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = 12.109195402299,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2107,
["jmenovatel"] = 174 },
["render"] = "\\frac{6321}{522}",
["typ"] = "cislo" },
["tex"] = "12\\frac{19}{174}",
["x"] = 12,
["y"] = 19,
["z"] = 174 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} - (-16)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} - (-16) - (-15)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{12} \\cdot 1\\frac{1}{7}",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{4}{9} - (-16) - (-15)}{2\\frac{5}{12} \\cdot 1\\frac{1}{7}}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.7, bodu=113, $$\frac{-17 \cdot 1\frac{3}{3} \cdot 2\frac{2}{9}}{1\frac{2}{10} + 14}=\textcolor{white}{-4\frac{166}{171}}$$return {
["body"] = 113,
["id"] = "g6fURA_0621_2231",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = -4.9707602339181,
["objekt"] = {
["hodnota"] = {
["citatel"] = -850,
["jmenovatel"] = 171 },
["render"] = "\\frac{-3400}{684}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{166}{171}",
["x"] = -4,
["y"] = 166,
["z"] = 171 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "1\\frac{3}{3}",
["typ"] = "cislo" },
["render"] = "-17 \\cdot 1\\frac{3}{3}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "-17 \\cdot 1\\frac{3}{3} \\cdot 2\\frac{2}{9}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{10} + 14",
["typ"] = "plus" },
["render"] = "\\frac{-17 \\cdot 1\\frac{3}{3} \\cdot 2\\frac{2}{9}}{1\\frac{2}{10} + 14}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.71, bodu=88, $$\frac{(5 - 8)^2}{-15 - (-13 + 4\frac{2}{5} + (-12))}=\textcolor{white}{1\frac{17}{28}}$$return {
["body"] = 88,
["id"] = "v2Nh5P_0621_2231",
["obtiznost"] = 0.914,
["reseni"] = {
["float"] = 1.6071428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 28 },
["render"] = "\\frac{45}{28}",
["typ"] = "cislo" },
["tex"] = "1\\frac{17}{28}",
["x"] = 1,
["y"] = 17,
["z"] = 28 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.71",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 - 8",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(5 - 8)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} + (-12)",
["typ"] = "plus" },
["render"] = "-13 + 4\\frac{2}{5} + (-12)",
["typ"] = "plus" },
["render"] = "(-13 + 4\\frac{2}{5} + (-12))",
["typ"] = "zavorka" },
["render"] = "-15 - (-13 + 4\\frac{2}{5} + (-12))",
["typ"] = "minus" },
["render"] = "\\frac{(5 - 8)^2}{-15 - (-13 + 4\\frac{2}{5} + (-12))}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.72, bodu=146, $$(1\frac{4}{6} - 11) \cdot -8 \cdot 3\frac{3}{7} \cdot (2\frac{4}{9} + (-14))=\textcolor{white}{-2958\frac{2}{9}}$$return {
["body"] = 146,
["id"] = "DBnhHZ_0621_2231",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = -2958.2222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -26624,
["jmenovatel"] = 9 },
["render"] = "\\frac{-186368}{63}",
["typ"] = "cislo" },
["tex"] = "-2958\\frac{2}{9}",
["x"] = -2958,
["y"] = 2,
["z"] = 9 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.72",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{6} - 11",
["typ"] = "minus" },
["render"] = "(1\\frac{4}{6} - 11)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} + (-14)",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{9} + (-14))",
["typ"] = "zavorka" },
["render"] = "3\\frac{3}{7} \\cdot (2\\frac{4}{9} + (-14))",
["typ"] = "krat" },
["render"] = "-8 \\cdot 3\\frac{3}{7} \\cdot (2\\frac{4}{9} + (-14))",
["typ"] = "krat" },
["render"] = "(1\\frac{4}{6} - 11) \\cdot -8 \\cdot 3\\frac{3}{7} \\cdot (2\\frac{4}{9} + (-14))",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.73, bodu=68, $$\frac{7}{\frac{17}{(\frac{-12}{-15})^2 + (-16)}}=\textcolor{white}{-6\frac{138}{425}}$$return {
["body"] = 68,
["id"] = "ZVCfn6_0621_2231",
["obtiznost"] = 0.7464,
["reseni"] = {
["float"] = -6.3247058823529,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2688,
["jmenovatel"] = 425 },
["render"] = "\\frac{2688}{-425}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{138}{425}",
["x"] = -6,
["y"] = 138,
["z"] = 425 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.73",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{-15}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-12}{-15})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "(\\frac{-12}{-15})^2 + (-16)",
["typ"] = "plus" },
["render"] = "\\frac{17}{(\\frac{-12}{-15})^2 + (-16)}",
["typ"] = "lomeno" },
["render"] = "\\frac{7}{\\frac{17}{(\\frac{-12}{-15})^2 + (-16)}}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.74, bodu=181, $$\frac{9 + \frac{4\frac{1}{9}}{4\frac{3}{6}}}{\frac{3\frac{5}{8}}{2\frac{3}{11}}}=\textcolor{white}{6\frac{506}{2349}}$$return {
["body"] = 181,
["id"] = "Ijgy7E_0621_2231",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = 6.215410813112,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14600,
["jmenovatel"] = 2349 },
["render"] = "\\frac{160600}{25839}",
["typ"] = "cislo" },
["tex"] = "6\\frac{506}{2349}",
["x"] = 6,
["y"] = 506,
["z"] = 2349 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{9}}{4\\frac{3}{6}}",
["typ"] = "lomeno" },
["render"] = "9 + \\frac{4\\frac{1}{9}}{4\\frac{3}{6}}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{8}}{2\\frac{3}{11}}",
["typ"] = "lomeno" },
["render"] = "\\frac{9 + \\frac{4\\frac{1}{9}}{4\\frac{3}{6}}}{\\frac{3\\frac{5}{8}}{2\\frac{3}{11}}}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.75, bodu=93, $$(-14 + 5) \cdot (12 + 7 + \frac{4\frac{3}{8}}{-12})=\textcolor{white}{-167\frac{23}{32}}$$return {
["body"] = 93,
["id"] = "VG4FI6_0621_2231",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = -167.71875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5367,
["jmenovatel"] = 32 },
["render"] = "\\frac{-16101}{96}",
["typ"] = "cislo" },
["tex"] = "-167\\frac{23}{32}",
["x"] = -167,
["y"] = 23,
["z"] = 32 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.75",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-14 + 5",
["typ"] = "plus" },
["render"] = "(-14 + 5)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "12 + 7",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{8}}{-12}",
["typ"] = "lomeno" },
["render"] = "12 + 7 + \\frac{4\\frac{3}{8}}{-12}",
["typ"] = "plus" },
["render"] = "(12 + 7 + \\frac{4\\frac{3}{8}}{-12})",
["typ"] = "zavorka" },
["render"] = "(-14 + 5) \\cdot (12 + 7 + \\frac{4\\frac{3}{8}}{-12})",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.76, bodu=205, $$2\frac{5}{8} \cdot -16 \cdot (10 + 2\frac{5}{13} + (\frac{8}{3\frac{5}{9}})^3)=\textcolor{white}{-998\frac{233}{416}}$$return {
["body"] = 205,
["id"] = "elcDpI_0621_2231",
["obtiznost"] = 1.6772,
["reseni"] = {
["float"] = -998.56009615385,
["objekt"] = {
["hodnota"] = {
["citatel"] = -415401,
["jmenovatel"] = 416 },
["render"] = "\\frac{-830802}{832}",
["typ"] = "cislo" },
["tex"] = "-998\\frac{233}{416}",
["x"] = -998,
["y"] = 233,
["z"] = 416 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{8} \\cdot -16",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{3\\frac{5}{9}}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{8}{3\\frac{5}{9}})^3",
["typ"] = "mocnina" },
["render"] = "2\\frac{5}{13} + (\\frac{8}{3\\frac{5}{9}})^3",
["typ"] = "plus" },
["render"] = "10 + 2\\frac{5}{13} + (\\frac{8}{3\\frac{5}{9}})^3",
["typ"] = "plus" },
["render"] = "(10 + 2\\frac{5}{13} + (\\frac{8}{3\\frac{5}{9}})^3)",
["typ"] = "zavorka" },
["render"] = "2\\frac{5}{8} \\cdot -16 \\cdot (10 + 2\\frac{5}{13} + (\\frac{8}{3\\frac{5}{9}})^3)",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.77, bodu=95, $$\frac{1\frac{3}{8} - (-12)}{5 \cdot -17} - 8=\textcolor{white}{-8\frac{107}{680}}$$return {
["body"] = 95,
["id"] = "9RT8ca_0621_2231",
["obtiznost"] = 0.97,
["reseni"] = {
["float"] = -8.1573529411765,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5547,
["jmenovatel"] = 680 },
["render"] = "\\frac{-5547}{680}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{107}{680}",
["x"] = -8,
["y"] = 107,
["z"] = 680 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} - (-12)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "5 \\cdot -17",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{3}{8} - (-12)}{5 \\cdot -17}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{8} - (-12)}{5 \\cdot -17} - 8",
["typ"] = "minus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.78, bodu=97, $$\frac{-12 \cdot -12}{\frac{2\frac{5}{10}}{-13 - (-12)}}=\textcolor{white}{-57{,}6}$$return {
["body"] = 97,
["id"] = "3AfrJy_0621_2231",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = -57.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -288,
["jmenovatel"] = 5 },
["render"] = "\\frac{288}{-5}",
["typ"] = "cislo" },
["tex"] = "-57\\frac{3}{5}",
["tex_float"] = "-57{,}6",
["x"] = -57,
["y"] = 3,
["z"] = 5 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-12 \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-13 - (-12)",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{5}{10}}{-13 - (-12)}",
["typ"] = "lomeno" },
["render"] = "\\frac{-12 \\cdot -12}{\\frac{2\\frac{5}{10}}{-13 - (-12)}}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.79, bodu=126, $$\frac{8 \cdot -18 + 3\frac{2}{6}}{18 - 3\frac{2}{4} \cdot -10}=\textcolor{white}{-2\frac{104}{159}}$$return {
["body"] = 126,
["id"] = "7t9qdn_0621_2231",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = -2.6540880503145,
["objekt"] = {
["hodnota"] = {
["citatel"] = -422,
["jmenovatel"] = 159 },
["render"] = "\\frac{-422}{159}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{104}{159}",
["x"] = -2,
["y"] = 104,
["z"] = 159 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "8 \\cdot -18",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "8 \\cdot -18 + 3\\frac{2}{6}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{4} \\cdot -10",
["typ"] = "krat" },
["render"] = "18 - 3\\frac{2}{4} \\cdot -10",
["typ"] = "minus" },
["render"] = "\\frac{8 \\cdot -18 + 3\\frac{2}{6}}{18 - 3\\frac{2}{4} \\cdot -10}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.8, bodu=100, $$\frac{-16}{-10 + \frac{2\frac{3}{7}}{-14}} + (-16 \cdot 11)=\textcolor{white}{-174\frac{426}{997}}$$return {
["body"] = 100,
["id"] = "3nkGVO_0621_2231",
["obtiznost"] = 1,
["reseni"] = {
["float"] = -174.42728184554,
["objekt"] = {
["hodnota"] = {
["citatel"] = -173904,
["jmenovatel"] = 997 },
["render"] = "\\frac{-173904}{997}",
["typ"] = "cislo" },
["tex"] = "-174\\frac{426}{997}",
["x"] = -174,
["y"] = 426,
["z"] = 997 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{7}}{-14}",
["typ"] = "lomeno" },
["render"] = "-10 + \\frac{2\\frac{3}{7}}{-14}",
["typ"] = "plus" },
["render"] = "\\frac{-16}{-10 + \\frac{2\\frac{3}{7}}{-14}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 11",
["typ"] = "krat" },
["render"] = "\\frac{-16}{-10 + \\frac{2\\frac{3}{7}}{-14}} + (-16 \\cdot 11)",
["typ"] = "plus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.81, bodu=168, $$\frac{3\frac{2}{6} \cdot (\frac{15}{12} + 4\frac{2}{8})^2}{\frac{4\frac{5}{12}}{7}}=\textcolor{white}{159\frac{43}{53}}$$return {
["body"] = 168,
["id"] = "Y5dHrY_0621_2231",
["obtiznost"] = 1.46,
["reseni"] = {
["float"] = 159.81132075472,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8470,
["jmenovatel"] = 53 },
["render"] = "\\frac{50820}{318}",
["typ"] = "cislo" },
["tex"] = "159\\frac{43}{53}",
["x"] = 159,
["y"] = 43,
["z"] = 53 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{15}{12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{12} + 4\\frac{2}{8}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(\\frac{15}{12} + 4\\frac{2}{8})^2",
["typ"] = "mocnina" },
["render"] = "3\\frac{2}{6} \\cdot (\\frac{15}{12} + 4\\frac{2}{8})^2",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{12}}{7}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{2}{6} \\cdot (\\frac{15}{12} + 4\\frac{2}{8})^2}{\\frac{4\\frac{5}{12}}{7}}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.82, bodu=167, $$\frac{3\frac{3}{10} \cdot 1\frac{5}{12}}{\frac{(\frac{10}{2\frac{2}{9}})^2}{12 - (-18)}}=\textcolor{white}{6\frac{25}{27}}$$return {
["body"] = 167,
["id"] = "3g8aie_0621_2231",
["obtiznost"] = 1.454,
["reseni"] = {
["float"] = 6.9259259259259,
["objekt"] = {
["hodnota"] = {
["citatel"] = 187,
["jmenovatel"] = 27 },
["render"] = "\\frac{7480}{1080}",
["typ"] = "cislo" },
["tex"] = "6\\frac{25}{27}",
["x"] = 6,
["y"] = 25,
["z"] = 27 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{10} \\cdot 1\\frac{5}{12}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{2\\frac{2}{9}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{2\\frac{2}{9}})^2",
["typ"] = "mocnina" },
["c2"] = {
["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" },
["render"] = "\\frac{(\\frac{10}{2\\frac{2}{9}})^2}{12 - (-18)}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{3}{10} \\cdot 1\\frac{5}{12}}{\\frac{(\\frac{10}{2\\frac{2}{9}})^2}{12 - (-18)}}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.83, bodu=132, $$2\frac{3}{9} + (-4) + \frac{13 \cdot 3\frac{3}{5} \cdot -12}{16}=\textcolor{white}{-36\frac{23}{30}}$$return {
["body"] = 132,
["id"] = "SrjQbH_0621_2231",
["obtiznost"] = 1.23,
["reseni"] = {
["float"] = -36.766666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1103,
["jmenovatel"] = 30 },
["render"] = "\\frac{-1103}{30}",
["typ"] = "cislo" },
["tex"] = "-36\\frac{23}{30}",
["x"] = -36,
["y"] = 23,
["z"] = 30 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} + (-4)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{5} \\cdot -12",
["typ"] = "krat" },
["render"] = "13 \\cdot 3\\frac{3}{5} \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{13 \\cdot 3\\frac{3}{5} \\cdot -12}{16}",
["typ"] = "lomeno" },
["render"] = "2\\frac{3}{9} + (-4) + \\frac{13 \\cdot 3\\frac{3}{5} \\cdot -12}{16}",
["typ"] = "plus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.84, bodu=134, $$(3\frac{4}{10} \cdot -13 + 1\frac{4}{12}) \cdot -7 - (12 - (-15))=\textcolor{white}{273\frac{1}{15}}$$return {
["body"] = 134,
["id"] = "EcIqoA_0621_2231",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = 273.06666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4096,
["jmenovatel"] = 15 },
["render"] = "\\frac{4096}{15}",
["typ"] = "cislo" },
["tex"] = "273\\frac{1}{15}",
["x"] = 273,
["y"] = 1,
["z"] = 15 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} \\cdot -13 + 1\\frac{4}{12}",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{10} \\cdot -13 + 1\\frac{4}{12})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(3\\frac{4}{10} \\cdot -13 + 1\\frac{4}{12}) \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "12 - (-15)",
["typ"] = "minus" },
["render"] = "(12 - (-15))",
["typ"] = "zavorka" },
["render"] = "(3\\frac{4}{10} \\cdot -13 + 1\\frac{4}{12}) \\cdot -7 - (12 - (-15))",
["typ"] = "minus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.85, bodu=106, $$\frac{\frac{4\frac{3}{9}}{3 \cdot (-9 + (-17)) - (-5)}}{15}=\textcolor{white}{-\frac{13}{3285}}$$return {
["body"] = 106,
["id"] = "ByryJT_0621_2231",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = -0.0039573820395738,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 3285 },
["render"] = "\\frac{-13}{3285}",
["typ"] = "cislo" },
["tex"] = "-\\frac{13}{3285}",
["y"] = -13,
["z"] = 3285 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-9 + (-17)",
["typ"] = "plus" },
["render"] = "(-9 + (-17))",
["typ"] = "zavorka" },
["render"] = "3 \\cdot (-9 + (-17))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "3 \\cdot (-9 + (-17)) - (-5)",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{3}{9}}{3 \\cdot (-9 + (-17)) - (-5)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{3}{9}}{3 \\cdot (-9 + (-17)) - (-5)}}{15}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.86, bodu=137, $$\frac{2\frac{5}{14}}{1\frac{5}{14}} - \frac{\frac{12}{-18 - (-11)}}{-7}=\textcolor{white}{1\frac{458}{931}}$$return {
["body"] = 137,
["id"] = "pbMyOX_0621_2231",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = 1.4919441460795,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1389,
["jmenovatel"] = 931 },
["render"] = "\\frac{1389}{931}",
["typ"] = "cislo" },
["tex"] = "1\\frac{458}{931}",
["x"] = 1,
["y"] = 458,
["z"] = 931 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 14 },
["render"] = "2\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 14 },
["render"] = "1\\frac{5}{14}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{14}}{1\\frac{5}{14}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-18 - (-11)",
["typ"] = "minus" },
["render"] = "\\frac{12}{-18 - (-11)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{12}{-18 - (-11)}}{-7}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{5}{14}}{1\\frac{5}{14}} - \\frac{\\frac{12}{-18 - (-11)}}{-7}",
["typ"] = "minus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.87, bodu=83, $$\frac{-8}{-10} \cdot (\frac{22}{-16} - 9 \cdot 17)=\textcolor{white}{-123{,}5}$$return {
["body"] = 83,
["id"] = "0ZSQA8_0621_2231",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = -123.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -247,
["jmenovatel"] = 2 },
["render"] = "\\frac{-4940}{40}",
["typ"] = "cislo" },
["tex"] = "-123\\frac{1}{2}",
["tex_float"] = "-123{,}5",
["x"] = -123,
["y"] = 1,
["z"] = 2 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{22}{-16}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "9 \\cdot 17",
["typ"] = "krat" },
["render"] = "\\frac{22}{-16} - 9 \\cdot 17",
["typ"] = "minus" },
["render"] = "(\\frac{22}{-16} - 9 \\cdot 17)",
["typ"] = "zavorka" },
["render"] = "\\frac{-8}{-10} \\cdot (\\frac{22}{-16} - 9 \\cdot 17)",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.88, bodu=140, $$(\frac{\frac{1\frac{4}{14}}{4\frac{5}{14}}}{21} + 12) \cdot \frac{-12}{12}=\textcolor{white}{-12\frac{6}{427}}$$return {
["body"] = 140,
["id"] = "w5q7ba_0621_2231",
["obtiznost"] = 1.28,
["reseni"] = {
["float"] = -12.014051522248,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5130,
["jmenovatel"] = 427 },
["render"] = "\\frac{-5130}{427}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{6}{427}",
["x"] = -12,
["y"] = 6,
["z"] = 427 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.88",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 14 },
["render"] = "4\\frac{5}{14}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{14}}{4\\frac{5}{14}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{4}{14}}{4\\frac{5}{14}}}{21}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{4}{14}}{4\\frac{5}{14}}}{21} + 12",
["typ"] = "plus" },
["render"] = "(\\frac{\\frac{1\\frac{4}{14}}{4\\frac{5}{14}}}{21} + 12)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{12}",
["typ"] = "lomeno" },
["render"] = "(\\frac{\\frac{1\\frac{4}{14}}{4\\frac{5}{14}}}{21} + 12) \\cdot \\frac{-12}{12}",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.89, bodu=112, $$\frac{-19 + (-12 + (-11)) - 2\frac{1}{11}}{\frac{-13}{13} - 18}=\textcolor{white}{2\frac{67}{209}}$$return {
["body"] = 112,
["id"] = "vFYlIl_0621_2231",
["obtiznost"] = 1.09,
["reseni"] = {
["float"] = 2.3205741626794,
["objekt"] = {
["hodnota"] = {
["citatel"] = 485,
["jmenovatel"] = 209 },
["render"] = "\\frac{-485}{-209}",
["typ"] = "cislo" },
["tex"] = "2\\frac{67}{209}",
["x"] = 2,
["y"] = 67,
["z"] = 209 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-12 + (-11)",
["typ"] = "plus" },
["render"] = "-19 + (-12 + (-11))",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 11 },
["render"] = "2\\frac{1}{11}",
["typ"] = "cislo" },
["render"] = "-19 + (-12 + (-11)) - 2\\frac{1}{11}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{13} - 18",
["typ"] = "minus" },
["render"] = "\\frac{-19 + (-12 + (-11)) - 2\\frac{1}{11}}{\\frac{-13}{13} - 18}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.9, bodu=113, $$\frac{17}{-14} \cdot (\frac{\frac{17}{-16}}{-2} + 4\frac{5}{16})=\textcolor{white}{-5\frac{395}{448}}$$return {
["body"] = 113,
["id"] = "Am69w0_0621_2231",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = -5.8816964285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2635,
["jmenovatel"] = 448 },
["render"] = "\\frac{-2635}{448}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{395}{448}",
["x"] = -5,
["y"] = 395,
["z"] = 448 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{17}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{17}{-16}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{17}{-16}}{-2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 69,
["jmenovatel"] = 16 },
["render"] = "4\\frac{5}{16}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{17}{-16}}{-2} + 4\\frac{5}{16}",
["typ"] = "plus" },
["render"] = "(\\frac{\\frac{17}{-16}}{-2} + 4\\frac{5}{16})",
["typ"] = "zavorka" },
["render"] = "\\frac{17}{-14} \\cdot (\\frac{\\frac{17}{-16}}{-2} + 4\\frac{5}{16})",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.91, bodu=176, $$(2\frac{4}{11} + (-16)) \cdot (1\frac{4}{13} + 2\frac{5}{13} \cdot -21 - (-7) - 5)=\textcolor{white}{637\frac{109}{143}}$$return {
["body"] = 176,
["id"] = "kNsZ3a_0621_2231",
["obtiznost"] = 1.51,
["reseni"] = {
["float"] = 637.76223776224,
["objekt"] = {
["hodnota"] = {
["citatel"] = 91200,
["jmenovatel"] = 143 },
["render"] = "\\frac{91200}{143}",
["typ"] = "cislo" },
["tex"] = "637\\frac{109}{143}",
["x"] = 637,
["y"] = 109,
["z"] = 143 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.91",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{11} + (-16)",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{11} + (-16))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 13 },
["render"] = "1\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{13} \\cdot -21",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{13} \\cdot -21 - (-7)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{13} \\cdot -21 - (-7) - 5",
["typ"] = "minus" },
["render"] = "1\\frac{4}{13} + 2\\frac{5}{13} \\cdot -21 - (-7) - 5",
["typ"] = "plus" },
["render"] = "(1\\frac{4}{13} + 2\\frac{5}{13} \\cdot -21 - (-7) - 5)",
["typ"] = "zavorka" },
["render"] = "(2\\frac{4}{11} + (-16)) \\cdot (1\\frac{4}{13} + 2\\frac{5}{13} \\cdot -21 - (-7) - 5)",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.92, bodu=183, $$\frac{-18}{\frac{13}{4\frac{2}{7}} \cdot (1\frac{3}{6} \cdot -16)^2}=\textcolor{white}{-\frac{15}{1456}}$$return {
["body"] = 183,
["id"] = "YDHCAj_0621_2231",
["obtiznost"] = 1.5508,
["reseni"] = {
["float"] = -0.010302197802198,
["objekt"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1456 },
["render"] = "\\frac{-90}{8736}",
["typ"] = "cislo" },
["tex"] = "-\\frac{15}{1456}",
["y"] = -15,
["z"] = 1456 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.92",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{4\\frac{2}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} \\cdot -16",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(1\\frac{3}{6} \\cdot -16)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{13}{4\\frac{2}{7}} \\cdot (1\\frac{3}{6} \\cdot -16)^2",
["typ"] = "krat" },
["render"] = "\\frac{-18}{\\frac{13}{4\\frac{2}{7}} \\cdot (1\\frac{3}{6} \\cdot -16)^2}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.93, bodu=189, $$(16 + (\frac{15}{-6})^4 + (-15)) \cdot 2\frac{3}{10} \cdot 1\frac{3}{8}=\textcolor{white}{126\frac{893}{1280}}$$return {
["body"] = 189,
["id"] = "7yKrM8_0621_2231",
["obtiznost"] = 1.5864,
["reseni"] = {
["float"] = 126.69765625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 162173,
["jmenovatel"] = 1280 },
["render"] = "\\frac{162173}{1280}",
["typ"] = "cislo" },
["tex"] = "126\\frac{893}{1280}",
["x"] = 126,
["y"] = 893,
["z"] = 1280 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.93",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{15}{-6}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{15}{-6})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "(\\frac{15}{-6})^4 + (-15)",
["typ"] = "plus" },
["render"] = "16 + (\\frac{15}{-6})^4 + (-15)",
["typ"] = "plus" },
["render"] = "(16 + (\\frac{15}{-6})^4 + (-15))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{10} \\cdot 1\\frac{3}{8}",
["typ"] = "krat" },
["render"] = "(16 + (\\frac{15}{-6})^4 + (-15)) \\cdot 2\\frac{3}{10} \\cdot 1\\frac{3}{8}",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.94, bodu=149, $$1\frac{5}{12} \cdot 12 \cdot (21 - (-18)) \cdot \frac{8}{3\frac{2}{3}}=\textcolor{white}{1446\frac{6}{11}}$$return {
["body"] = 149,
["id"] = "VkGQPA_0621_2231",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = 1446.5454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15912,
["jmenovatel"] = 11 },
["render"] = "\\frac{15912}{11}",
["typ"] = "cislo" },
["tex"] = "1446\\frac{6}{11}",
["x"] = 1446,
["y"] = 6,
["z"] = 11 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "21 - (-18)",
["typ"] = "minus" },
["render"] = "(21 - (-18))",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{12} \\cdot 12 \\cdot (21 - (-18))",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{3\\frac{2}{3}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{12} \\cdot 12 \\cdot (21 - (-18)) \\cdot \\frac{8}{3\\frac{2}{3}}",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.95, bodu=183, $$3\frac{2}{5} \cdot (4\frac{2}{12} + 3 - 18 \cdot 4\frac{4}{14} \cdot 10)=\textcolor{white}{-2598\frac{103}{210}}$$return {
["body"] = 183,
["id"] = "k0OzNU_0621_2231",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = -2598.4904761905,
["objekt"] = {
["hodnota"] = {
["citatel"] = -545683,
["jmenovatel"] = 210 },
["render"] = "\\frac{-545683}{210}",
["typ"] = "cislo" },
["tex"] = "-2598\\frac{103}{210}",
["x"] = -2598,
["y"] = 103,
["z"] = 210 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.95",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{2}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{14}",
["typ"] = "cislo" },
["render"] = "18 \\cdot 4\\frac{4}{14}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "18 \\cdot 4\\frac{4}{14} \\cdot 10",
["typ"] = "krat" },
["render"] = "3 - 18 \\cdot 4\\frac{4}{14} \\cdot 10",
["typ"] = "minus" },
["render"] = "4\\frac{2}{12} + 3 - 18 \\cdot 4\\frac{4}{14} \\cdot 10",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{12} + 3 - 18 \\cdot 4\\frac{4}{14} \\cdot 10)",
["typ"] = "zavorka" },
["render"] = "3\\frac{2}{5} \\cdot (4\\frac{2}{12} + 3 - 18 \\cdot 4\\frac{4}{14} \\cdot 10)",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.96, bodu=220, $$1\frac{2}{11} \cdot (\frac{16}{3\frac{1}{12}} + 3\frac{4}{12} \cdot 2\frac{5}{12} - 2\frac{3}{3})=\textcolor{white}{12\frac{787}{7326}}$$return {
["body"] = 220,
["id"] = "Ol3laZ_0621_2231",
["obtiznost"] = 1.76,
["reseni"] = {
["float"] = 12.107425607426,
["objekt"] = {
["hodnota"] = {
["citatel"] = 88699,
["jmenovatel"] = 7326 },
["render"] = "\\frac{88699}{7326}",
["typ"] = "cislo" },
["tex"] = "12\\frac{787}{7326}",
["x"] = 12,
["y"] = 787,
["z"] = 7326 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.96",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 11 },
["render"] = "1\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 12 },
["render"] = "3\\frac{1}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{16}{3\\frac{1}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{12} \\cdot 2\\frac{5}{12}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "2\\frac{3}{3}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{12} \\cdot 2\\frac{5}{12} - 2\\frac{3}{3}",
["typ"] = "minus" },
["render"] = "\\frac{16}{3\\frac{1}{12}} + 3\\frac{4}{12} \\cdot 2\\frac{5}{12} - 2\\frac{3}{3}",
["typ"] = "plus" },
["render"] = "(\\frac{16}{3\\frac{1}{12}} + 3\\frac{4}{12} \\cdot 2\\frac{5}{12} - 2\\frac{3}{3})",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{11} \\cdot (\\frac{16}{3\\frac{1}{12}} + 3\\frac{4}{12} \\cdot 2\\frac{5}{12} - 2\\frac{3}{3})",
["typ"] = "krat" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.97, bodu=222, $$\frac{2\frac{2}{7} + 3\frac{3}{8}}{\frac{2\frac{1}{5} + 13}{-25} + (8 - 16)^3}=\textcolor{white}{-\frac{39625}{3588256}}$$return {
["body"] = 222,
["id"] = "sbraVY_0621_2231",
["obtiznost"] = 1.7752,
["reseni"] = {
["float"] = -0.011042969063523,
["objekt"] = {
["hodnota"] = {
["citatel"] = -39625,
["jmenovatel"] = 3588256 },
["render"] = "\\frac{39625}{-3588256}",
["typ"] = "cislo" },
["tex"] = "-\\frac{39625}{3588256}",
["y"] = -39625,
["z"] = 3588256 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{7} + 3\\frac{3}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} + 13",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -25,
["jmenovatel"] = 1 },
["render"] = "-25",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{5} + 13}{-25}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "8 - 16",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(8 - 16)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{2\\frac{1}{5} + 13}{-25} + (8 - 16)^3",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{2}{7} + 3\\frac{3}{8}}{\\frac{2\\frac{1}{5} + 13}{-25} + (8 - 16)^3}",
["typ"] = "lomeno" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.98, bodu=223, $$1\frac{5}{6} + \frac{\frac{1\frac{3}{8} - \frac{-11}{3\frac{5}{9}}}{10}}{1\frac{3}{11}}=\textcolor{white}{2\frac{2479}{13440}}$$return {
["body"] = 223,
["id"] = "r9vykE_0621_2231",
["obtiznost"] = 1.78,
["reseni"] = {
["float"] = 2.1844494047619,
["objekt"] = {
["hodnota"] = {
["citatel"] = 29359,
["jmenovatel"] = 13440 },
["render"] = "\\frac{58718}{26880}",
["typ"] = "cislo" },
["tex"] = "2\\frac{2479}{13440}",
["x"] = 2,
["y"] = 2479,
["z"] = 13440 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.98",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{3\\frac{5}{9}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{3}{8} - \\frac{-11}{3\\frac{5}{9}}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{8} - \\frac{-11}{3\\frac{5}{9}}}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{3}{8} - \\frac{-11}{3\\frac{5}{9}}}{10}}{1\\frac{3}{11}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{6} + \\frac{\\frac{1\\frac{3}{8} - \\frac{-11}{3\\frac{5}{9}}}{10}}{1\\frac{3}{11}}",
["typ"] = "plus" } }
seed: eA1zpgjmyRVaYSwlRfyW_0.99, bodu=157, $$14 + (-17) - (-14 \cdot (2\frac{3}{5} + \frac{-15}{11} - 2\frac{1}{7}))=\textcolor{white}{-15\frac{38}{55}}$$return {
["body"] = 157,
["id"] = "We1UtQ_0621_2231",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = -15.690909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = -863,
["jmenovatel"] = 55 },
["render"] = "\\frac{-863}{55}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{38}{55}",
["x"] = -15,
["y"] = 38,
["z"] = 55 },
["seed"] = "eA1zpgjmyRVaYSwlRfyW_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "14 + (-17)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{11} - 2\\frac{1}{7}",
["typ"] = "minus" },
["render"] = "2\\frac{3}{5} + \\frac{-15}{11} - 2\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{5} + \\frac{-15}{11} - 2\\frac{1}{7})",
["typ"] = "zavorka" },
["render"] = "-14 \\cdot (2\\frac{3}{5} + \\frac{-15}{11} - 2\\frac{1}{7})",
["typ"] = "krat" },
["render"] = "14 + (-17) - (-14 \\cdot (2\\frac{3}{5} + \\frac{-15}{11} - 2\\frac{1}{7}))",
["typ"] = "minus" } }
13-ecstatic-dog-gifs_a-cupcake.webp:
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