- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: qWYAe8BoWvgPVqPcBMSH_0, bodu=10, $$\frac{10}{-5 \cdot (5 - (-7))}=\textcolor{white}{-\frac{1}{6}}$$return {
["body"] = 10,
["id"] = "HX4R7w_1206_0011",
["obtiznost"] = 0,
["reseni"] = {
["float"] = -0.16666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 6 },
["render"] = "\\frac{10}{-60}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{6}",
["y"] = -1,
["z"] = 6 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "5 - (-7)",
["typ"] = "minus" },
["render"] = "(5 - (-7))",
["typ"] = "zavorka" },
["render"] = "-5 \\cdot (5 - (-7))",
["typ"] = "krat" },
["render"] = "\\frac{10}{-5 \\cdot (5 - (-7))}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.01, bodu=10, $$(6 - 6)^4 \cdot (3 \cdot -8)^2=\textcolor{white}{0}$$return {
["body"] = 10,
["id"] = "RnbSDC_1206_0011",
["obtiznost"] = 0.2412,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["x"] = 0 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.01",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 - 6",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(6 - 6)^4",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "3 \\cdot -8",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(3 \\cdot -8)^2",
["typ"] = "mocnina" },
["render"] = "(6 - 6)^4 \\cdot (3 \\cdot -8)^2",
["typ"] = "krat" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.02, bodu=6, $$8 \cdot -8 \cdot (7 + 9)^2=\textcolor{white}{-16384}$$return {
["body"] = 6,
["id"] = "bhRvHb_1206_0011",
["obtiznost"] = 0.1228,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -16384,
["jmenovatel"] = 1 },
["render"] = "\\frac{-16384}{1}",
["typ"] = "cislo" },
["tex"] = "-16384",
["x"] = -16384 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.02",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(7 + 9)^2",
["typ"] = "mocnina" },
["render"] = "-8 \\cdot (7 + 9)^2",
["typ"] = "krat" },
["render"] = "8 \\cdot -8 \\cdot (7 + 9)^2",
["typ"] = "krat" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.03, bodu=10, $$\frac{(\frac{-6}{4})^3}{7}=\textcolor{white}{-\frac{27}{56}}$$return {
["body"] = 10,
["id"] = "coc7i8_1206_0011",
["obtiznost"] = 0.044,
["reseni"] = {
["float"] = -0.48214285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -27,
["jmenovatel"] = 56 },
["render"] = "\\frac{-27}{56}",
["typ"] = "cislo" },
["tex"] = "-\\frac{27}{56}",
["y"] = -27,
["z"] = 56 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.03",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{4}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-6}{4})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{-6}{4})^3}{7}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.04, bodu=26, $$\frac{7}{(\frac{10}{6})^4}=\textcolor{white}{\frac{567}{625}}$$return {
["body"] = 26,
["id"] = "KiQDot_1206_0011",
["obtiznost"] = 0.3224,
["reseni"] = {
["float"] = 0.9072,
["objekt"] = {
["hodnota"] = {
["citatel"] = 567,
["jmenovatel"] = 625 },
["render"] = "\\frac{567}{625}",
["typ"] = "cislo" },
["tex"] = "\\frac{567}{625}",
["y"] = 567,
["z"] = 625 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["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"] = 4,
["render"] = "(\\frac{10}{6})^4",
["typ"] = "mocnina" },
["render"] = "\\frac{7}{(\\frac{10}{6})^4}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.05, bodu=11, $$\frac{-11 \cdot 4}{10}=\textcolor{white}{-4{,}4}$$return {
["body"] = 11,
["id"] = "46qVrj_1206_0011",
["obtiznost"] = 0.05,
["reseni"] = {
["float"] = -4.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 5 },
["render"] = "\\frac{-44}{10}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{2}{5}",
["tex_float"] = "-4{,}4",
["x"] = -4,
["y"] = 2,
["z"] = 5 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-11 \\cdot 4}{10}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.06, bodu=21, $$5 \cdot (7 - 4\frac{5}{7}) + (-11)=\textcolor{white}{\frac{3}{7}}$$return {
["body"] = 21,
["id"] = "fjQ5w1_1206_0011",
["obtiznost"] = 0.26,
["reseni"] = {
["float"] = 0.42857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 7 },
["render"] = "\\frac{3}{7}",
["typ"] = "cislo" },
["tex"] = "\\frac{3}{7}",
["y"] = 3,
["z"] = 7 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "7 - 4\\frac{5}{7}",
["typ"] = "minus" },
["render"] = "(7 - 4\\frac{5}{7})",
["typ"] = "zavorka" },
["render"] = "5 \\cdot (7 - 4\\frac{5}{7})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "5 \\cdot (7 - 4\\frac{5}{7}) + (-11)",
["typ"] = "plus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.07, bodu=11, $$\frac{10}{7 + 3} + (-6)=\textcolor{white}{-5}$$return {
["body"] = 11,
["id"] = "RNnqTW_1206_0011",
["obtiznost"] = 0.07,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "\\frac{-5}{1}",
["typ"] = "cislo" },
["tex"] = "-5",
["x"] = -5 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "7 + 3",
["typ"] = "plus" },
["render"] = "\\frac{10}{7 + 3}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{10}{7 + 3} + (-6)",
["typ"] = "plus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.08, bodu=12, $$\frac{6 \cdot (4 + 4)}{4\frac{3}{3}}=\textcolor{white}{9{,}6}$$return {
["body"] = 12,
["id"] = "QosSpa_1206_0011",
["obtiznost"] = 0.08,
["reseni"] = {
["float"] = 9.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 5 },
["render"] = "\\frac{48}{5}",
["typ"] = "cislo" },
["tex"] = "9\\frac{3}{5}",
["tex_float"] = "9{,}6",
["x"] = 9,
["y"] = 3,
["z"] = 5 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "4 + 4",
["typ"] = "plus" },
["render"] = "(4 + 4)",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (4 + 4)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "4\\frac{3}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{6 \\cdot (4 + 4)}{4\\frac{3}{3}}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.09, bodu=6, $$6 + (7 + 5) \cdot 10=\textcolor{white}{126}$$return {
["body"] = 6,
["id"] = "lkv1Ou_1206_0011",
["obtiznost"] = 0.09,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 126,
["jmenovatel"] = 1 },
["render"] = "\\frac{126}{1}",
["typ"] = "cislo" },
["tex"] = "126",
["tex_float"] = "126",
["x"] = 126 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 + 5",
["typ"] = "plus" },
["render"] = "(7 + 5)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(7 + 5) \\cdot 10",
["typ"] = "krat" },
["render"] = "6 + (7 + 5) \\cdot 10",
["typ"] = "plus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.1, bodu=14, $$\frac{\frac{8}{-5}}{(7 + 2)^2}=\textcolor{white}{-\frac{8}{405}}$$return {
["body"] = 14,
["id"] = "FVEzub_1206_0011",
["obtiznost"] = 0.1328,
["reseni"] = {
["float"] = -0.019753086419753,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 405 },
["render"] = "\\frac{-8}{405}",
["typ"] = "cislo" },
["tex"] = "-\\frac{8}{405}",
["y"] = -8,
["z"] = 405 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-5}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "7 + 2",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(7 + 2)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{8}{-5}}{(7 + 2)^2}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.11, bodu=13, $$\frac{7 \cdot 10}{(10 - 12)^3}=\textcolor{white}{-8{,}75}$$return {
["body"] = 13,
["id"] = "NZNnR4_1206_0011",
["obtiznost"] = 0.1136,
["reseni"] = {
["float"] = -8.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -35,
["jmenovatel"] = 4 },
["render"] = "\\frac{70}{-8}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{3}{4}",
["tex_float"] = "-8{,}75",
["x"] = -8,
["y"] = 3,
["z"] = 4 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.11",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "7 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "10 - 12",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(10 - 12)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{7 \\cdot 10}{(10 - 12)^3}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.12, bodu=43, $$(8 - 3\frac{1}{5} + 1\frac{5}{8}) \cdot 3=\textcolor{white}{19{,}275}$$return {
["body"] = 43,
["id"] = "HjDm2v_1206_0011",
["obtiznost"] = 0.52,
["reseni"] = {
["float"] = 19.275,
["objekt"] = {
["hodnota"] = {
["citatel"] = 771,
["jmenovatel"] = 40 },
["render"] = "\\frac{771}{40}",
["typ"] = "cislo" },
["tex"] = "19\\frac{11}{40}",
["tex_float"] = "19{,}275",
["x"] = 19,
["y"] = 11,
["z"] = 40 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.12",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "8 - 3\\frac{1}{5}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "8 - 3\\frac{1}{5} + 1\\frac{5}{8}",
["typ"] = "plus" },
["render"] = "(8 - 3\\frac{1}{5} + 1\\frac{5}{8})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(8 - 3\\frac{1}{5} + 1\\frac{5}{8}) \\cdot 3",
["typ"] = "krat" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.13, bodu=7, $$(11 - (8 + (-9))) \cdot -7=\textcolor{white}{-84}$$return {
["body"] = 7,
["id"] = "51NVKp_1206_0011",
["obtiznost"] = 0.13,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -84,
["jmenovatel"] = 1 },
["render"] = "\\frac{-84}{1}",
["typ"] = "cislo" },
["tex"] = "-84",
["x"] = -84 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.13",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "8 + (-9)",
["typ"] = "plus" },
["render"] = "(8 + (-9))",
["typ"] = "zavorka" },
["render"] = "11 - (8 + (-9))",
["typ"] = "minus" },
["render"] = "(11 - (8 + (-9)))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(11 - (8 + (-9))) \\cdot -7",
["typ"] = "krat" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.14, bodu=12, $$(-12 + 8 - (-3 \cdot 8))^2=\textcolor{white}{400}$$return {
["body"] = 12,
["id"] = "u7rMWz_1206_0011",
["obtiznost"] = 0.3004,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 400,
["jmenovatel"] = 1 },
["render"] = "\\frac{400}{1}",
["typ"] = "cislo" },
["tex"] = "400",
["x"] = 400 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.14",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-3 \\cdot 8",
["typ"] = "krat" },
["render"] = "8 - (-3 \\cdot 8)",
["typ"] = "minus" },
["render"] = "-12 + 8 - (-3 \\cdot 8)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-12 + 8 - (-3 \\cdot 8))^2",
["typ"] = "mocnina" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.15, bodu=15, $$\frac{-11 \cdot -3}{-6 - (-6) + 3}=\textcolor{white}{11}$$return {
["body"] = 15,
["id"] = "CkJXb6_1206_0011",
["obtiznost"] = 0.15,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "\\frac{33}{3}",
["typ"] = "cislo" },
["tex"] = "11",
["tex_float"] = "11",
["x"] = 11 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "-11 \\cdot -3",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-6 - (-6)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-6 - (-6) + 3",
["typ"] = "plus" },
["render"] = "\\frac{-11 \\cdot -3}{-6 - (-6) + 3}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.16, bodu=15, $$\frac{-7 + (-7)}{7 - 7 + 2}=\textcolor{white}{-7}$$return {
["body"] = 15,
["id"] = "BqgBQu_1206_0011",
["obtiznost"] = 0.16,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "\\frac{-14}{2}",
["typ"] = "cislo" },
["tex"] = "-7",
["x"] = -7 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-7 + (-7)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 - 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "7 - 7 + 2",
["typ"] = "plus" },
["render"] = "\\frac{-7 + (-7)}{7 - 7 + 2}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.17, bodu=36, $$(\frac{7}{11})^2 - 9 - 4\frac{3}{5}=\textcolor{white}{-13\frac{118}{605}}$$return {
["body"] = 36,
["id"] = "R3vj4C_1206_0011",
["obtiznost"] = 0.438,
["reseni"] = {
["float"] = -13.195041322314,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7983,
["jmenovatel"] = 605 },
["render"] = "\\frac{-7983}{605}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{118}{605}",
["x"] = -13,
["y"] = 118,
["z"] = 605 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{7}{11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{7}{11})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(\\frac{7}{11})^2 - 9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "(\\frac{7}{11})^2 - 9 - 4\\frac{3}{5}",
["typ"] = "minus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.18, bodu=16, $$(10 + 9) \cdot \frac{6}{-6}=\textcolor{white}{-19}$$return {
["body"] = 16,
["id"] = "PNxwLW_1206_0011",
["obtiznost"] = 0.18,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "\\frac{-19}{1}",
["typ"] = "cislo" },
["tex"] = "-19",
["x"] = -19 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.18",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 + 9",
["typ"] = "plus" },
["render"] = "(10 + 9)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-6}",
["typ"] = "lomeno" },
["render"] = "(10 + 9) \\cdot \\frac{6}{-6}",
["typ"] = "krat" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.19, bodu=31, $$\frac{5}{\frac{11}{1\frac{5}{9}}}=\textcolor{white}{\frac{70}{99}}$$return {
["body"] = 31,
["id"] = "aySHrZ_1206_0011",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = 0.70707070707071,
["objekt"] = {
["hodnota"] = {
["citatel"] = 70,
["jmenovatel"] = 99 },
["render"] = "\\frac{70}{99}",
["typ"] = "cislo" },
["tex"] = "\\frac{70}{99}",
["y"] = 70,
["z"] = 99 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{1\\frac{5}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{5}{\\frac{11}{1\\frac{5}{9}}}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.2, bodu=32, $$\frac{12 + 11 + 14}{\frac{1\frac{3}{8}}{6}}=\textcolor{white}{161\frac{5}{11}}$$return {
["body"] = 32,
["id"] = "c9G9H0_1206_0011",
["obtiznost"] = 0.4,
["reseni"] = {
["float"] = 161.45454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1776,
["jmenovatel"] = 11 },
["render"] = "\\frac{1776}{11}",
["typ"] = "cislo" },
["tex"] = "161\\frac{5}{11}",
["x"] = 161,
["y"] = 5,
["z"] = 11 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "11 + 14",
["typ"] = "plus" },
["render"] = "12 + 11 + 14",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{8}}{6}",
["typ"] = "lomeno" },
["render"] = "\\frac{12 + 11 + 14}{\\frac{1\\frac{3}{8}}{6}}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.21, bodu=9, $$(-12 + (-6)) \cdot -10 \cdot 6=\textcolor{white}{1080}$$return {
["body"] = 9,
["id"] = "n3wNxz_1206_0011",
["obtiznost"] = 0.21,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1080,
["jmenovatel"] = 1 },
["render"] = "\\frac{1080}{1}",
["typ"] = "cislo" },
["tex"] = "1080",
["x"] = 1080 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-12 + (-6)",
["typ"] = "plus" },
["render"] = "(-12 + (-6))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(-12 + (-6)) \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(-12 + (-6)) \\cdot -10 \\cdot 6",
["typ"] = "krat" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.22, bodu=19, $$\frac{\frac{-8 \cdot 7}{9}}{-11}=\textcolor{white}{\frac{56}{99}}$$return {
["body"] = 19,
["id"] = "1JkSM7_1206_0011",
["obtiznost"] = 0.22,
["reseni"] = {
["float"] = 0.56565656565657,
["objekt"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 99 },
["render"] = "\\frac{-56}{-99}",
["typ"] = "cislo" },
["tex"] = "\\frac{56}{99}",
["y"] = 56,
["z"] = 99 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-8 \\cdot 7}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-8 \\cdot 7}{9}}{-11}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.23, bodu=55, $$\frac{6}{4\frac{4}{6} \cdot 2\frac{4}{7} + 7}=\textcolor{white}{\frac{6}{19}}$$return {
["body"] = 55,
["id"] = "EJlCff_1206_0011",
["obtiznost"] = 0.63,
["reseni"] = {
["float"] = 0.31578947368421,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 19 },
["render"] = "\\frac{6}{19}",
["typ"] = "cislo" },
["tex"] = "\\frac{6}{19}",
["y"] = 6,
["z"] = 19 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.23",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{6} \\cdot 2\\frac{4}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{6} \\cdot 2\\frac{4}{7} + 7",
["typ"] = "plus" },
["render"] = "\\frac{6}{4\\frac{4}{6} \\cdot 2\\frac{4}{7} + 7}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.24, bodu=38, $$(\frac{10}{\frac{-10}{3\frac{4}{8}}} - (-7))^2=\textcolor{white}{12{,}25}$$return {
["body"] = 38,
["id"] = "IYYo3s_1206_0011",
["obtiznost"] = 0.4612,
["reseni"] = {
["float"] = 12.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 4 },
["render"] = "\\frac{49}{4}",
["typ"] = "cislo" },
["tex"] = "12\\frac{1}{4}",
["tex_float"] = "12{,}25",
["x"] = 12,
["y"] = 1,
["z"] = 4 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.24",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{3\\frac{4}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{10}{\\frac{-10}{3\\frac{4}{8}}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{10}{\\frac{-10}{3\\frac{4}{8}}} - (-7)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{\\frac{-10}{3\\frac{4}{8}}} - (-7))^2",
["typ"] = "mocnina" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.25, bodu=37, $$\frac{(4\frac{4}{8} - (-10)) \cdot 13}{10}=\textcolor{white}{18{,}85}$$return {
["body"] = 37,
["id"] = "SmdEN2_1206_0011",
["obtiznost"] = 0.45,
["reseni"] = {
["float"] = 18.85,
["objekt"] = {
["hodnota"] = {
["citatel"] = 377,
["jmenovatel"] = 20 },
["render"] = "\\frac{377}{20}",
["typ"] = "cislo" },
["tex"] = "18\\frac{17}{20}",
["tex_float"] = "18{,}85",
["x"] = 18,
["y"] = 17,
["z"] = 20 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} - (-10)",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{8} - (-10))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(4\\frac{4}{8} - (-10)) \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{(4\\frac{4}{8} - (-10)) \\cdot 13}{10}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.26, bodu=10, $$10 \cdot 8 \cdot 5 \cdot 8=\textcolor{white}{3200}$$return {
["body"] = 10,
["id"] = "lRqSr0_1206_0011",
["obtiznost"] = 0.26,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 3200,
["jmenovatel"] = 1 },
["render"] = "\\frac{3200}{1}",
["typ"] = "cislo" },
["tex"] = "3200",
["x"] = 3200 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.26",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "8 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 \\cdot 5 \\cdot 8",
["typ"] = "krat" },
["render"] = "10 \\cdot 8 \\cdot 5 \\cdot 8",
["typ"] = "krat" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.27, bodu=11, $$-12 - (-14) + 10 - (4 - 13)=\textcolor{white}{21}$$return {
["body"] = 11,
["id"] = "51HoFt_1206_0011",
["obtiznost"] = 0.27,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "\\frac{21}{1}",
["typ"] = "cislo" },
["tex"] = "21",
["tex_float"] = "21",
["x"] = 21 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-12 - (-14)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-12 - (-14) + 10",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4 - 13",
["typ"] = "minus" },
["render"] = "(4 - 13)",
["typ"] = "zavorka" },
["render"] = "-12 - (-14) + 10 - (4 - 13)",
["typ"] = "minus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.28, bodu=28, $$(\frac{-10}{9})^2 \cdot 9 + 10=\textcolor{white}{21\frac{1}{9}}$$return {
["body"] = 28,
["id"] = "pxlMas_1206_0011",
["obtiznost"] = 0.3524,
["reseni"] = {
["float"] = 21.111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 190,
["jmenovatel"] = 9 },
["render"] = "\\frac{190}{9}",
["typ"] = "cislo" },
["tex"] = "21\\frac{1}{9}",
["x"] = 21,
["y"] = 1,
["z"] = 9 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(\\frac{-10}{9})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(\\frac{-10}{9})^2 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(\\frac{-10}{9})^2 \\cdot 9 + 10",
["typ"] = "plus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.29, bodu=40, $$1\frac{3}{9} \cdot (3 + (-12 \cdot 9))=\textcolor{white}{-140}$$return {
["body"] = 40,
["id"] = "OVn9PM_1206_0011",
["obtiznost"] = 0.49,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -140,
["jmenovatel"] = 1 },
["render"] = "\\frac{-420}{3}",
["typ"] = "cislo" },
["tex"] = "-140",
["x"] = -140 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.29",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 9",
["typ"] = "krat" },
["render"] = "3 + (-12 \\cdot 9)",
["typ"] = "plus" },
["render"] = "(3 + (-12 \\cdot 9))",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{9} \\cdot (3 + (-12 \\cdot 9))",
["typ"] = "krat" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.3, bodu=41, $$10 \cdot -12 - \frac{-6}{3\frac{2}{7}}=\textcolor{white}{-118\frac{4}{23}}$$return {
["body"] = 41,
["id"] = "9g8mGs_1206_0011",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = -118.17391304348,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2718,
["jmenovatel"] = 23 },
["render"] = "\\frac{-2718}{23}",
["typ"] = "cislo" },
["tex"] = "-118\\frac{4}{23}",
["x"] = -118,
["y"] = 4,
["z"] = 23 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "10 \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{3\\frac{2}{7}}",
["typ"] = "lomeno" },
["render"] = "10 \\cdot -12 - \\frac{-6}{3\\frac{2}{7}}",
["typ"] = "minus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.31, bodu=32, $$-5 + (\frac{4 - (-6)}{11})^2 + 7=\textcolor{white}{2\frac{100}{121}}$$return {
["body"] = 32,
["id"] = "JBOzT1_1206_0011",
["obtiznost"] = 0.3984,
["reseni"] = {
["float"] = 2.8264462809917,
["objekt"] = {
["hodnota"] = {
["citatel"] = 342,
["jmenovatel"] = 121 },
["render"] = "\\frac{342}{121}",
["typ"] = "cislo" },
["tex"] = "2\\frac{100}{121}",
["x"] = 2,
["y"] = 100,
["z"] = 121 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "4 - (-6)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{4 - (-6)}{11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{4 - (-6)}{11})^2",
["typ"] = "mocnina" },
["render"] = "-5 + (\\frac{4 - (-6)}{11})^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-5 + (\\frac{4 - (-6)}{11})^2 + 7",
["typ"] = "plus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.32, bodu=13, $$4 - (-8) + (-11 + 4 - 6)=\textcolor{white}{-1}$$return {
["body"] = 13,
["id"] = "JCIDPC_1206_0011",
["obtiznost"] = 0.32,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1}{1}",
["typ"] = "cislo" },
["tex"] = "-1",
["tex_float"] = "-1",
["x"] = -1 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "4 - (-8)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-11 + 4",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-11 + 4 - 6",
["typ"] = "minus" },
["render"] = "4 - (-8) + (-11 + 4 - 6)",
["typ"] = "plus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.33, bodu=27, $$\frac{6}{13} - \frac{7}{-12}=\textcolor{white}{1\frac{7}{156}}$$return {
["body"] = 27,
["id"] = "bplzIT_1206_0011",
["obtiznost"] = 0.33,
["reseni"] = {
["float"] = 1.0448717948718,
["objekt"] = {
["hodnota"] = {
["citatel"] = 163,
["jmenovatel"] = 156 },
["render"] = "\\frac{163}{156}",
["typ"] = "cislo" },
["tex"] = "1\\frac{7}{156}",
["x"] = 1,
["y"] = 7,
["z"] = 156 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{6}{13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-12}",
["typ"] = "lomeno" },
["render"] = "\\frac{6}{13} - \\frac{7}{-12}",
["typ"] = "minus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.34, bodu=27, $$\frac{(-9 + (-5)) \cdot (-5 - 5)}{9}=\textcolor{white}{15\frac{5}{9}}$$return {
["body"] = 27,
["id"] = "kGv2Jv_1206_0011",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = 15.555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 140,
["jmenovatel"] = 9 },
["render"] = "\\frac{140}{9}",
["typ"] = "cislo" },
["tex"] = "15\\frac{5}{9}",
["x"] = 15,
["y"] = 5,
["z"] = 9 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-9 + (-5)",
["typ"] = "plus" },
["render"] = "(-9 + (-5))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-5 - 5",
["typ"] = "minus" },
["render"] = "(-5 - 5)",
["typ"] = "zavorka" },
["render"] = "(-9 + (-5)) \\cdot (-5 - 5)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{(-9 + (-5)) \\cdot (-5 - 5)}{9}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.35, bodu=68, $$\frac{-9}{10 \cdot 1\frac{1}{6} - 4\frac{5}{8}}=\textcolor{white}{-1\frac{47}{169}}$$return {
["body"] = 68,
["id"] = "5wTwxs_1206_0011",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = -1.2781065088757,
["objekt"] = {
["hodnota"] = {
["citatel"] = -216,
["jmenovatel"] = 169 },
["render"] = "\\frac{-216}{169}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{47}{169}",
["x"] = -1,
["y"] = 47,
["z"] = 169 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.35",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 1\\frac{1}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 1\\frac{1}{6} - 4\\frac{5}{8}",
["typ"] = "minus" },
["render"] = "\\frac{-9}{10 \\cdot 1\\frac{1}{6} - 4\\frac{5}{8}}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.36, bodu=14, $$-5 \cdot -7 \cdot 8 \cdot 10=\textcolor{white}{2800}$$return {
["body"] = 14,
["id"] = "ndrfwj_1206_0011",
["obtiznost"] = 0.36,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 2800,
["jmenovatel"] = 1 },
["render"] = "\\frac{2800}{1}",
["typ"] = "cislo" },
["tex"] = "2800",
["x"] = 2800 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-5 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["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" },
["render"] = "-5 \\cdot -7 \\cdot 8 \\cdot 10",
["typ"] = "krat" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.37, bodu=30, $$\frac{9 - 12 - 13}{8}=\textcolor{white}{-2}$$return {
["body"] = 30,
["id"] = "JiCzFq_1206_0011",
["obtiznost"] = 0.37,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "\\frac{-16}{8}",
["typ"] = "cislo" },
["tex"] = "-2",
["tex_float"] = "-2",
["x"] = -2 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "9 - 12",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "9 - 12 - 13",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{9 - 12 - 13}{8}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.38, bodu=49, $$16 - (-9 \cdot 1\frac{5}{11}) - (-9)=\textcolor{white}{38\frac{1}{11}}$$return {
["body"] = 49,
["id"] = "49fYKc_1206_0011",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = 38.090909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = 419,
["jmenovatel"] = 11 },
["render"] = "\\frac{419}{11}",
["typ"] = "cislo" },
["tex"] = "38\\frac{1}{11}",
["x"] = 38,
["y"] = 1,
["z"] = 11 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 1\\frac{5}{11}",
["typ"] = "krat" },
["render"] = "16 - (-9 \\cdot 1\\frac{5}{11})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "16 - (-9 \\cdot 1\\frac{5}{11}) - (-9)",
["typ"] = "minus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.39, bodu=73, $$(-7 + 8)^2 \cdot (\frac{4\frac{1}{2}}{4\frac{3}{6}})^2=\textcolor{white}{1}$$return {
["body"] = 73,
["id"] = "SJGJNG_1206_0011",
["obtiznost"] = 0.7916,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 1 },
["render"] = "\\frac{1}{1}",
["typ"] = "cislo" },
["tex"] = "1",
["x"] = 1 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.39",
["zadani"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(-7 + 8)^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{2}}{4\\frac{3}{6}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{4\\frac{1}{2}}{4\\frac{3}{6}})^2",
["typ"] = "mocnina" },
["render"] = "(-7 + 8)^2 \\cdot (\\frac{4\\frac{1}{2}}{4\\frac{3}{6}})^2",
["typ"] = "krat" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.4, bodu=74, $$\frac{-14}{\frac{7 + 14 + (-10)}{4\frac{3}{9} - 2\frac{5}{11}}}=\textcolor{white}{-2\frac{142}{363}}$$return {
["body"] = 74,
["id"] = "mMSRUn_1206_0011",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = -2.3911845730028,
["objekt"] = {
["hodnota"] = {
["citatel"] = -868,
["jmenovatel"] = 363 },
["render"] = "\\frac{-868}{363}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{142}{363}",
["x"] = -2,
["y"] = 142,
["z"] = 363 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.4",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "7 + 14",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "7 + 14 + (-10)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} - 2\\frac{5}{11}",
["typ"] = "minus" },
["render"] = "\\frac{7 + 14 + (-10)}{4\\frac{3}{9} - 2\\frac{5}{11}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-14}{\\frac{7 + 14 + (-10)}{4\\frac{3}{9} - 2\\frac{5}{11}}}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.41, bodu=75, $$\frac{1\frac{3}{8} \cdot 6 \cdot (2\frac{2}{4} + 10)}{10}=\textcolor{white}{10\frac{5}{16}}$$return {
["body"] = 75,
["id"] = "6UQ6Du_1206_0011",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = 10.3125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 165,
["jmenovatel"] = 16 },
["render"] = "\\frac{825}{80}",
["typ"] = "cislo" },
["tex"] = "10\\frac{5}{16}",
["x"] = 10,
["y"] = 5,
["z"] = 16 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} + 10",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{4} + 10)",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{8} \\cdot 6 \\cdot (2\\frac{2}{4} + 10)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{8} \\cdot 6 \\cdot (2\\frac{2}{4} + 10)}{10}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.42, bodu=54, $$((4\frac{3}{7} - 4) \cdot 7)^2 + 7 - (-10)=\textcolor{white}{26}$$return {
["body"] = 54,
["id"] = "iWf5tm_1206_0011",
["obtiznost"] = 0.624,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 1 },
["render"] = "\\frac{26}{1}",
["typ"] = "cislo" },
["tex"] = "26",
["x"] = 26 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.42",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} - 4",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{7} - 4)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(4\\frac{3}{7} - 4) \\cdot 7",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "((4\\frac{3}{7} - 4) \\cdot 7)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "7 - (-10)",
["typ"] = "minus" },
["render"] = "((4\\frac{3}{7} - 4) \\cdot 7)^2 + 7 - (-10)",
["typ"] = "plus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.43, bodu=55, $$2\frac{5}{10} + (-15 + (-7 \cdot -12) + (-8)) - 9=\textcolor{white}{54{,}5}$$return {
["body"] = 55,
["id"] = "Ostwtw_1206_0011",
["obtiznost"] = 0.63,
["reseni"] = {
["float"] = 54.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 109,
["jmenovatel"] = 2 },
["render"] = "\\frac{109}{2}",
["typ"] = "cislo" },
["tex"] = "54\\frac{1}{2}",
["tex_float"] = "54{,}5",
["x"] = 54,
["y"] = 1,
["z"] = 2 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-7 \\cdot -12",
["typ"] = "krat" },
["render"] = "-15 + (-7 \\cdot -12)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-15 + (-7 \\cdot -12) + (-8)",
["typ"] = "plus" },
["render"] = "2\\frac{5}{10} + (-15 + (-7 \\cdot -12) + (-8))",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} + (-15 + (-7 \\cdot -12) + (-8)) - 9",
["typ"] = "minus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.44, bodu=79, $$-9 + 2\frac{3}{10} - (3\frac{3}{8} - \frac{4}{9})=\textcolor{white}{-9\frac{227}{360}}$$return {
["body"] = 79,
["id"] = "NFXfTC_1206_0011",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = -9.6305555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3467,
["jmenovatel"] = 360 },
["render"] = "\\frac{-6934}{720}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{227}{360}",
["x"] = -9,
["y"] = 227,
["z"] = 360 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "-9 + 2\\frac{3}{10}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{4}{9}",
["typ"] = "lomeno" },
["render"] = "3\\frac{3}{8} - \\frac{4}{9}",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{8} - \\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "-9 + 2\\frac{3}{10} - (3\\frac{3}{8} - \\frac{4}{9})",
["typ"] = "minus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.45, bodu=57, $$-8 \cdot \frac{9}{\frac{3\frac{1}{5}}{8}}=\textcolor{white}{-180}$$return {
["body"] = 57,
["id"] = "PbUg5Y_1206_0011",
["obtiznost"] = 0.65,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -180,
["jmenovatel"] = 1 },
["render"] = "\\frac{-360}{2}",
["typ"] = "cislo" },
["tex"] = "-180",
["x"] = -180 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.45",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{5}}{8}",
["typ"] = "lomeno" },
["render"] = "\\frac{9}{\\frac{3\\frac{1}{5}}{8}}",
["typ"] = "lomeno" },
["render"] = "-8 \\cdot \\frac{9}{\\frac{3\\frac{1}{5}}{8}}",
["typ"] = "krat" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.46, bodu=38, $$\frac{(-10 - (-10))^2}{9 - (-11)} + (-13)=\textcolor{white}{-13}$$return {
["body"] = 38,
["id"] = "qFfosZ_1206_0011",
["obtiznost"] = 0.4604,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "\\frac{-13}{1}",
["typ"] = "cislo" },
["tex"] = "-13",
["tex_float"] = "-13",
["x"] = -13 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-10 - (-10)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-10 - (-10))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "9 - (-11)",
["typ"] = "minus" },
["render"] = "\\frac{(-10 - (-10))^2}{9 - (-11)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{(-10 - (-10))^2}{9 - (-11)} + (-13)",
["typ"] = "plus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.47, bodu=109, $$13 \cdot (13 - (2\frac{3}{6} \cdot (1\frac{2}{5} + (-14)) + 1\frac{4}{9}))=\textcolor{white}{559\frac{13}{18}}$$return {
["body"] = 109,
["id"] = "YYXYp6_1206_0011",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = 559.72222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10075,
["jmenovatel"] = 18 },
["render"] = "\\frac{10075}{18}",
["typ"] = "cislo" },
["tex"] = "559\\frac{13}{18}",
["x"] = 559,
["y"] = 13,
["z"] = 18 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.47",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{5} + (-14)",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{5} + (-14))",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{6} \\cdot (1\\frac{2}{5} + (-14))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{6} \\cdot (1\\frac{2}{5} + (-14)) + 1\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{6} \\cdot (1\\frac{2}{5} + (-14)) + 1\\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "13 - (2\\frac{3}{6} \\cdot (1\\frac{2}{5} + (-14)) + 1\\frac{4}{9})",
["typ"] = "minus" },
["render"] = "(13 - (2\\frac{3}{6} \\cdot (1\\frac{2}{5} + (-14)) + 1\\frac{4}{9}))",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (13 - (2\\frac{3}{6} \\cdot (1\\frac{2}{5} + (-14)) + 1\\frac{4}{9}))",
["typ"] = "krat" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.48, bodu=84, $$(9 + 1\frac{3}{6}) \cdot -7 \cdot (-4 + 1\frac{1}{3})=\textcolor{white}{196}$$return {
["body"] = 84,
["id"] = "8tRAgP_1206_0011",
["obtiznost"] = 0.88,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 196,
["jmenovatel"] = 1 },
["render"] = "\\frac{1176}{6}",
["typ"] = "cislo" },
["tex"] = "196",
["tex_float"] = "196",
["x"] = 196 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.48",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "9 + 1\\frac{3}{6}",
["typ"] = "plus" },
["render"] = "(9 + 1\\frac{3}{6})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "-4 + 1\\frac{1}{3}",
["typ"] = "plus" },
["render"] = "(-4 + 1\\frac{1}{3})",
["typ"] = "zavorka" },
["render"] = "-7 \\cdot (-4 + 1\\frac{1}{3})",
["typ"] = "krat" },
["render"] = "(9 + 1\\frac{3}{6}) \\cdot -7 \\cdot (-4 + 1\\frac{1}{3})",
["typ"] = "krat" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.49, bodu=85, $$\frac{\frac{10 + 2\frac{3}{8}}{\frac{-12}{2\frac{3}{10}}}}{11}=\textcolor{white}{-\frac{69}{320}}$$return {
["body"] = 85,
["id"] = "UO8SLD_1206_0011",
["obtiznost"] = 0.89,
["reseni"] = {
["float"] = -0.215625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -69,
["jmenovatel"] = 320 },
["render"] = "\\frac{-759}{3520}",
["typ"] = "cislo" },
["tex"] = "-\\frac{69}{320}",
["y"] = -69,
["z"] = 320 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "10 + 2\\frac{3}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{2\\frac{3}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{10 + 2\\frac{3}{8}}{\\frac{-12}{2\\frac{3}{10}}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{10 + 2\\frac{3}{8}}{\\frac{-12}{2\\frac{3}{10}}}}{11}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.5, bodu=27, $$(-8 - 10)^2 - (-16 - 13 \cdot 9)=\textcolor{white}{457}$$return {
["body"] = 27,
["id"] = "ZUkHPU_1206_0011",
["obtiznost"] = 0.63,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 457,
["jmenovatel"] = 1 },
["render"] = "\\frac{457}{1}",
["typ"] = "cislo" },
["tex"] = "457",
["tex_float"] = "457",
["x"] = 457 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.5",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-8 - 10",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-8 - 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "13 \\cdot 9",
["typ"] = "krat" },
["render"] = "-16 - 13 \\cdot 9",
["typ"] = "minus" },
["render"] = "(-16 - 13 \\cdot 9)",
["typ"] = "zavorka" },
["render"] = "(-8 - 10)^2 - (-16 - 13 \\cdot 9)",
["typ"] = "minus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.51, bodu=88, $$7 - (4\frac{3}{7} - 8 - (-18 - 4\frac{2}{6}))=\textcolor{white}{-11\frac{16}{21}}$$return {
["body"] = 88,
["id"] = "fDACZu_1206_0011",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = -11.761904761905,
["objekt"] = {
["hodnota"] = {
["citatel"] = -247,
["jmenovatel"] = 21 },
["render"] = "\\frac{-247}{21}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{16}{21}",
["x"] = -11,
["y"] = 16,
["z"] = 21 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.51",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} - 8",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "-18 - 4\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "(-18 - 4\\frac{2}{6})",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{7} - 8 - (-18 - 4\\frac{2}{6})",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{7} - 8 - (-18 - 4\\frac{2}{6}))",
["typ"] = "zavorka" },
["render"] = "7 - (4\\frac{3}{7} - 8 - (-18 - 4\\frac{2}{6}))",
["typ"] = "minus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.52, bodu=64, $$-9 + 3 + \frac{-12}{4\frac{2}{6} \cdot 8}=\textcolor{white}{-6\frac{9}{26}}$$return {
["body"] = 64,
["id"] = "7hrGQ2_1206_0011",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = -6.3461538461538,
["objekt"] = {
["hodnota"] = {
["citatel"] = -165,
["jmenovatel"] = 26 },
["render"] = "\\frac{-165}{26}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{9}{26}",
["x"] = -6,
["y"] = 9,
["z"] = 26 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-9 + 3",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} \\cdot 8",
["typ"] = "krat" },
["render"] = "\\frac{-12}{4\\frac{2}{6} \\cdot 8}",
["typ"] = "lomeno" },
["render"] = "-9 + 3 + \\frac{-12}{4\\frac{2}{6} \\cdot 8}",
["typ"] = "plus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.53, bodu=66, $$\frac{1\frac{5}{10}}{5 + \frac{-14}{11} - (-10)}=\textcolor{white}{\frac{33}{302}}$$return {
["body"] = 66,
["id"] = "631KjC_1206_0011",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = 0.10927152317881,
["objekt"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 302 },
["render"] = "\\frac{33}{302}",
["typ"] = "cislo" },
["tex"] = "\\frac{33}{302}",
["y"] = 33,
["z"] = 302 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.53",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{11}",
["typ"] = "lomeno" },
["render"] = "5 + \\frac{-14}{11}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "5 + \\frac{-14}{11} - (-10)",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{5}{10}}{5 + \\frac{-14}{11} - (-10)}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.54, bodu=22, $$17 \cdot -5 \cdot 12 \cdot 13=\textcolor{white}{-13260}$$return {
["body"] = 22,
["id"] = "eVfprV_1206_0011",
["obtiznost"] = 0.54,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -13260,
["jmenovatel"] = 1 },
["render"] = "\\frac{-13260}{1}",
["typ"] = "cislo" },
["tex"] = "-13260",
["x"] = -13260 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.54",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "12 \\cdot 13",
["typ"] = "krat" },
["render"] = "-5 \\cdot 12 \\cdot 13",
["typ"] = "krat" },
["render"] = "17 \\cdot -5 \\cdot 12 \\cdot 13",
["typ"] = "krat" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.55, bodu=68, $$(\frac{-2}{2\frac{4}{7} - 12} + 10) \cdot 7=\textcolor{white}{71\frac{16}{33}}$$return {
["body"] = 68,
["id"] = "bolz2d_1206_0011",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = 71.484848484848,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2359,
["jmenovatel"] = 33 },
["render"] = "\\frac{2359}{33}",
["typ"] = "cislo" },
["tex"] = "71\\frac{16}{33}",
["x"] = 71,
["y"] = 16,
["z"] = 33 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.55",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{7} - 12",
["typ"] = "minus" },
["render"] = "\\frac{-2}{2\\frac{4}{7} - 12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-2}{2\\frac{4}{7} - 12} + 10",
["typ"] = "plus" },
["render"] = "(\\frac{-2}{2\\frac{4}{7} - 12} + 10)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(\\frac{-2}{2\\frac{4}{7} - 12} + 10) \\cdot 7",
["typ"] = "krat" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.56, bodu=122, $$17 - 3\frac{2}{6} + (-12 + 4\frac{4}{7} + \frac{-8}{2\frac{2}{8}})=\textcolor{white}{2\frac{43}{63}}$$return {
["body"] = 122,
["id"] = "9qjLBV_1206_0011",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = 2.6825396825397,
["objekt"] = {
["hodnota"] = {
["citatel"] = 169,
["jmenovatel"] = 63 },
["render"] = "\\frac{507}{189}",
["typ"] = "cislo" },
["tex"] = "2\\frac{43}{63}",
["x"] = 2,
["y"] = 43,
["z"] = 63 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "17 - 3\\frac{2}{6}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-12 + 4\\frac{4}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{2\\frac{2}{8}}",
["typ"] = "lomeno" },
["render"] = "-12 + 4\\frac{4}{7} + \\frac{-8}{2\\frac{2}{8}}",
["typ"] = "plus" },
["render"] = "17 - 3\\frac{2}{6} + (-12 + 4\\frac{4}{7} + \\frac{-8}{2\\frac{2}{8}})",
["typ"] = "plus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.57, bodu=125, $$\frac{4\frac{5}{11}}{1\frac{3}{8}} + \frac{(15 - (-8))^2}{-17}=\textcolor{white}{-27\frac{1806}{2057}}$$return {
["body"] = 125,
["id"] = "IgAE4e_1206_0011",
["obtiznost"] = 1.182,
["reseni"] = {
["float"] = -27.877977637336,
["objekt"] = {
["hodnota"] = {
["citatel"] = -57345,
["jmenovatel"] = 2057 },
["render"] = "\\frac{-57345}{2057}",
["typ"] = "cislo" },
["tex"] = "-27\\frac{1806}{2057}",
["x"] = -27,
["y"] = 1806,
["z"] = 2057 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{11}}{1\\frac{3}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "15 - (-8)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(15 - (-8))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{(15 - (-8))^2}{-17}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{5}{11}}{1\\frac{3}{8}} + \\frac{(15 - (-8))^2}{-17}",
["typ"] = "plus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.58, bodu=71, $$\frac{8 \cdot -12}{12 - 1\frac{1}{4}} + 10=\textcolor{white}{1\frac{3}{43}}$$return {
["body"] = 71,
["id"] = "PeN8u0_1206_0011",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = 1.0697674418605,
["objekt"] = {
["hodnota"] = {
["citatel"] = 46,
["jmenovatel"] = 43 },
["render"] = "\\frac{46}{43}",
["typ"] = "cislo" },
["tex"] = "1\\frac{3}{43}",
["x"] = 1,
["y"] = 3,
["z"] = 43 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "8 \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "12 - 1\\frac{1}{4}",
["typ"] = "minus" },
["render"] = "\\frac{8 \\cdot -12}{12 - 1\\frac{1}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{8 \\cdot -12}{12 - 1\\frac{1}{4}} + 10",
["typ"] = "plus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.59, bodu=126, $$\frac{10 + 3\frac{4}{9} + 11}{4\frac{4}{7} + 13 - 1\frac{2}{6}}=\textcolor{white}{1\frac{47}{93}}$$return {
["body"] = 126,
["id"] = "hR2gIR_1206_0011",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = 1.505376344086,
["objekt"] = {
["hodnota"] = {
["citatel"] = 140,
["jmenovatel"] = 93 },
["render"] = "\\frac{4620}{3069}",
["typ"] = "cislo" },
["tex"] = "1\\frac{47}{93}",
["x"] = 1,
["y"] = 47,
["z"] = 93 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{9} + 11",
["typ"] = "plus" },
["render"] = "10 + 3\\frac{4}{9} + 11",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{7} + 13",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{7} + 13 - 1\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "\\frac{10 + 3\\frac{4}{9} + 11}{4\\frac{4}{7} + 13 - 1\\frac{2}{6}}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.6, bodu=109, $$3\frac{3}{9} \cdot ((-10 + (-3))^2 - (3\frac{5}{11} + (-9)) + 4 \cdot 12)=\textcolor{white}{741\frac{9}{11}}$$return {
["body"] = 109,
["id"] = "tqvR4h_1206_0011",
["obtiznost"] = 1.068,
["reseni"] = {
["float"] = 741.81818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8160,
["jmenovatel"] = 11 },
["render"] = "\\frac{24480}{33}",
["typ"] = "cislo" },
["tex"] = "741\\frac{9}{11}",
["x"] = 741,
["y"] = 9,
["z"] = 11 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.6",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "-10 + (-3)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-10 + (-3))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} + (-9)",
["typ"] = "plus" },
["render"] = "(3\\frac{5}{11} + (-9))",
["typ"] = "zavorka" },
["render"] = "(-10 + (-3))^2 - (3\\frac{5}{11} + (-9))",
["typ"] = "minus" },
["c2"] = {
["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" },
["render"] = "(-10 + (-3))^2 - (3\\frac{5}{11} + (-9)) + 4 \\cdot 12",
["typ"] = "plus" },
["render"] = "((-10 + (-3))^2 - (3\\frac{5}{11} + (-9)) + 4 \\cdot 12)",
["typ"] = "zavorka" },
["render"] = "3\\frac{3}{9} \\cdot ((-10 + (-3))^2 - (3\\frac{5}{11} + (-9)) + 4 \\cdot 12)",
["typ"] = "krat" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.61, bodu=105, $$((8 + 16)^2 + (-11)) \cdot \frac{3\frac{4}{9}}{6 + (-11 + (-14))}=\textcolor{white}{-102\frac{73}{171}}$$return {
["body"] = 105,
["id"] = "TJjrt8_1206_0011",
["obtiznost"] = 1.0408,
["reseni"] = {
["float"] = -102.4269005848,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17515,
["jmenovatel"] = 171 },
["render"] = "\\frac{-17515}{171}",
["typ"] = "cislo" },
["tex"] = "-102\\frac{73}{171}",
["x"] = -102,
["y"] = 73,
["z"] = 171 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.61",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["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"] = "plus" },
["mocnitel"] = 2,
["render"] = "(8 + 16)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "(8 + 16)^2 + (-11)",
["typ"] = "plus" },
["render"] = "((8 + 16)^2 + (-11))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-11 + (-14)",
["typ"] = "plus" },
["render"] = "6 + (-11 + (-14))",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{4}{9}}{6 + (-11 + (-14))}",
["typ"] = "lomeno" },
["render"] = "((8 + 16)^2 + (-11)) \\cdot \\frac{3\\frac{4}{9}}{6 + (-11 + (-14))}",
["typ"] = "krat" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.62, bodu=131, $$4\frac{3}{8} + 4\frac{1}{3} + \frac{15}{-14} \cdot (8 + 1\frac{1}{5})=\textcolor{white}{-1\frac{25}{168}}$$return {
["body"] = 131,
["id"] = "rahLSH_1206_0011",
["obtiznost"] = 1.22,
["reseni"] = {
["float"] = -1.1488095238095,
["objekt"] = {
["hodnota"] = {
["citatel"] = -193,
["jmenovatel"] = 168 },
["render"] = "\\frac{-193}{168}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{25}{168}",
["x"] = -1,
["y"] = 25,
["z"] = 168 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} + 4\\frac{1}{3}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{15}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "8 + 1\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "(8 + 1\\frac{1}{5})",
["typ"] = "zavorka" },
["render"] = "\\frac{15}{-14} \\cdot (8 + 1\\frac{1}{5})",
["typ"] = "krat" },
["render"] = "4\\frac{3}{8} + 4\\frac{1}{3} + \\frac{15}{-14} \\cdot (8 + 1\\frac{1}{5})",
["typ"] = "plus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.63, bodu=78, $$\frac{-8 \cdot (-3 + 4\frac{3}{10})}{-12 \cdot -17}=\textcolor{white}{-\frac{13}{255}}$$return {
["body"] = 78,
["id"] = "IPXrx8_1206_0011",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = -0.050980392156863,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 255 },
["render"] = "\\frac{-52}{1020}",
["typ"] = "cislo" },
["tex"] = "-\\frac{13}{255}",
["y"] = -13,
["z"] = 255 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.63",
["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"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "-3 + 4\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "(-3 + 4\\frac{3}{10})",
["typ"] = "zavorka" },
["render"] = "-8 \\cdot (-3 + 4\\frac{3}{10})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-12 \\cdot -17",
["typ"] = "krat" },
["render"] = "\\frac{-8 \\cdot (-3 + 4\\frac{3}{10})}{-12 \\cdot -17}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.64, bodu=133, $$\frac{(-15 - (-9 - (-13))^2)^2 \cdot -15}{3\frac{4}{11}}=\textcolor{white}{-4285\frac{20}{37}}$$return {
["body"] = 133,
["id"] = "vzKW2x_1206_0011",
["obtiznost"] = 1.2316,
["reseni"] = {
["float"] = -4285.5405405405,
["objekt"] = {
["hodnota"] = {
["citatel"] = -158565,
["jmenovatel"] = 37 },
["render"] = "\\frac{-158565}{37}",
["typ"] = "cislo" },
["tex"] = "-4285\\frac{20}{37}",
["x"] = -4285,
["y"] = 20,
["z"] = 37 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-9 - (-13)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-9 - (-13))^2",
["typ"] = "mocnina" },
["render"] = "-15 - (-9 - (-13))^2",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-15 - (-9 - (-13))^2)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "(-15 - (-9 - (-13))^2)^2 \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{(-15 - (-9 - (-13))^2)^2 \\cdot -15}{3\\frac{4}{11}}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.65, bodu=57, $$8 \cdot 10 - \frac{12}{11 + (-8 + 14)}=\textcolor{white}{79\frac{5}{17}}$$return {
["body"] = 57,
["id"] = "lL3v5z_1206_0011",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = 79.294117647059,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1348,
["jmenovatel"] = 17 },
["render"] = "\\frac{1348}{17}",
["typ"] = "cislo" },
["tex"] = "79\\frac{5}{17}",
["x"] = 79,
["y"] = 5,
["z"] = 17 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-8 + 14",
["typ"] = "plus" },
["render"] = "11 + (-8 + 14)",
["typ"] = "plus" },
["render"] = "\\frac{12}{11 + (-8 + 14)}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot 10 - \\frac{12}{11 + (-8 + 14)}",
["typ"] = "minus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.66, bodu=137, $$2\frac{1}{3} \cdot -10 \cdot \frac{3\frac{2}{5}}{-10 - 1\frac{1}{7} + (-8)}=\textcolor{white}{4\frac{29}{201}}$$return {
["body"] = 137,
["id"] = "P6tqer_1206_0011",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = 4.1442786069652,
["objekt"] = {
["hodnota"] = {
["citatel"] = 833,
["jmenovatel"] = 201 },
["render"] = "\\frac{8330}{2010}",
["typ"] = "cislo" },
["tex"] = "4\\frac{29}{201}",
["x"] = 4,
["y"] = 29,
["z"] = 201 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{3} \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "-10 - 1\\frac{1}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-10 - 1\\frac{1}{7} + (-8)",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{2}{5}}{-10 - 1\\frac{1}{7} + (-8)}",
["typ"] = "lomeno" },
["render"] = "2\\frac{1}{3} \\cdot -10 \\cdot \\frac{3\\frac{2}{5}}{-10 - 1\\frac{1}{7} + (-8)}",
["typ"] = "krat" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.67, bodu=138, $$\frac{(-8 + 7)^2}{(2\frac{1}{5} - 2\frac{4}{7} - 2\frac{2}{9}) \cdot -13}=\textcolor{white}{\frac{315}{10621}}$$return {
["body"] = 138,
["id"] = "PRLWjU_1206_0011",
["obtiznost"] = 1.2708,
["reseni"] = {
["float"] = 0.029658224272667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 315,
["jmenovatel"] = 10621 },
["render"] = "\\frac{315}{10621}",
["typ"] = "cislo" },
["tex"] = "\\frac{315}{10621}",
["y"] = 315,
["z"] = 10621 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.67",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-8 + 7",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-8 + 7)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} - 2\\frac{4}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} - 2\\frac{4}{7} - 2\\frac{2}{9}",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{5} - 2\\frac{4}{7} - 2\\frac{2}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(2\\frac{1}{5} - 2\\frac{4}{7} - 2\\frac{2}{9}) \\cdot -13",
["typ"] = "krat" },
["render"] = "\\frac{(-8 + 7)^2}{(2\\frac{1}{5} - 2\\frac{4}{7} - 2\\frac{2}{9}) \\cdot -13}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.68, bodu=122, $$13 - (\frac{15}{-9})^4 \cdot 3\frac{2}{7} \cdot -12=\textcolor{white}{317\frac{44}{189}}$$return {
["body"] = 122,
["id"] = "BJ5BhK_1206_0011",
["obtiznost"] = 1.1624,
["reseni"] = {
["float"] = 317.2328042328,
["objekt"] = {
["hodnota"] = {
["citatel"] = 59957,
["jmenovatel"] = 189 },
["render"] = "\\frac{59957}{189}",
["typ"] = "cislo" },
["tex"] = "317\\frac{44}{189}",
["x"] = 317,
["y"] = 44,
["z"] = 189 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.68",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{15}{-9}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{15}{-9})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "(\\frac{15}{-9})^4 \\cdot 3\\frac{2}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(\\frac{15}{-9})^4 \\cdot 3\\frac{2}{7} \\cdot -12",
["typ"] = "krat" },
["render"] = "13 - (\\frac{15}{-9})^4 \\cdot 3\\frac{2}{7} \\cdot -12",
["typ"] = "minus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.69, bodu=90, $$(\frac{6}{-9})^4 + \frac{4\frac{2}{6} \cdot -4}{20}=\textcolor{white}{-\frac{271}{405}}$$return {
["body"] = 90,
["id"] = "LN9DG1_1206_0011",
["obtiznost"] = 0.9288,
["reseni"] = {
["float"] = -0.66913580246914,
["objekt"] = {
["hodnota"] = {
["citatel"] = -271,
["jmenovatel"] = 405 },
["render"] = "\\frac{-813}{1215}",
["typ"] = "cislo" },
["tex"] = "-\\frac{271}{405}",
["y"] = -271,
["z"] = 405 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.69",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-9}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{6}{-9})^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} \\cdot -4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{6} \\cdot -4}{20}",
["typ"] = "lomeno" },
["render"] = "(\\frac{6}{-9})^4 + \\frac{4\\frac{2}{6} \\cdot -4}{20}",
["typ"] = "plus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.7, bodu=113, $$\frac{2\frac{4}{11}}{-11 + (-12 + (-12)) - 13} - 1\frac{3}{8}=\textcolor{white}{-1\frac{14}{33}}$$return {
["body"] = 113,
["id"] = "CKpFIX_1206_0011",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = -1.4242424242424,
["objekt"] = {
["hodnota"] = {
["citatel"] = -47,
["jmenovatel"] = 33 },
["render"] = "\\frac{-3008}{2112}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{14}{33}",
["x"] = -1,
["y"] = 14,
["z"] = 33 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-12 + (-12)",
["typ"] = "plus" },
["render"] = "-11 + (-12 + (-12))",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-11 + (-12 + (-12)) - 13",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{4}{11}}{-11 + (-12 + (-12)) - 13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{11}}{-11 + (-12 + (-12)) - 13} - 1\\frac{3}{8}",
["typ"] = "minus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.71, bodu=88, $$\frac{\frac{-16 + (-15 \cdot 18)}{10}}{12 - 4\frac{4}{6}}=\textcolor{white}{-3{,}9}$$return {
["body"] = 88,
["id"] = "xmPx4n_1206_0011",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = -3.9,
["objekt"] = {
["hodnota"] = {
["citatel"] = -39,
["jmenovatel"] = 10 },
["render"] = "\\frac{-429}{110}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{9}{10}",
["tex_float"] = "-3{,}9",
["x"] = -3,
["y"] = 9,
["z"] = 10 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 18",
["typ"] = "krat" },
["render"] = "-16 + (-15 \\cdot 18)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-16 + (-15 \\cdot 18)}{10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "12 - 4\\frac{4}{6}",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{-16 + (-15 \\cdot 18)}{10}}{12 - 4\\frac{4}{6}}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.72, bodu=162, $$-16 - ((\frac{16}{-14})^3 - (15 \cdot 1\frac{3}{9})^2)=\textcolor{white}{385\frac{169}{343}}$$return {
["body"] = 162,
["id"] = "VT64zA_1206_0011",
["obtiznost"] = 1.4224,
["reseni"] = {
["float"] = 385.49271137026,
["objekt"] = {
["hodnota"] = {
["citatel"] = 132224,
["jmenovatel"] = 343 },
["render"] = "\\frac{132224}{343}",
["typ"] = "cislo" },
["tex"] = "385\\frac{169}{343}",
["x"] = 385,
["y"] = 169,
["z"] = 343 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.72",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{16}{-14}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{16}{-14})^3",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "15 \\cdot 1\\frac{3}{9}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(15 \\cdot 1\\frac{3}{9})^2",
["typ"] = "mocnina" },
["render"] = "(\\frac{16}{-14})^3 - (15 \\cdot 1\\frac{3}{9})^2",
["typ"] = "minus" },
["render"] = "((\\frac{16}{-14})^3 - (15 \\cdot 1\\frac{3}{9})^2)",
["typ"] = "zavorka" },
["render"] = "-16 - ((\\frac{16}{-14})^3 - (15 \\cdot 1\\frac{3}{9})^2)",
["typ"] = "minus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.73, bodu=148, $$\frac{\frac{-11}{3\frac{2}{5} - 20} + 4\frac{2}{5} - (-11)}{2\frac{1}{2}}=\textcolor{white}{6\frac{882}{2075}}$$return {
["body"] = 148,
["id"] = "peQofq_1206_0011",
["obtiznost"] = 1.33,
["reseni"] = {
["float"] = 6.4250602409639,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13332,
["jmenovatel"] = 2075 },
["render"] = "\\frac{13332}{2075}",
["typ"] = "cislo" },
["tex"] = "6\\frac{882}{2075}",
["x"] = 6,
["y"] = 882,
["z"] = 2075 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{5} - 20",
["typ"] = "minus" },
["render"] = "\\frac{-11}{3\\frac{2}{5} - 20}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} - (-11)",
["typ"] = "minus" },
["render"] = "\\frac{-11}{3\\frac{2}{5} - 20} + 4\\frac{2}{5} - (-11)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-11}{3\\frac{2}{5} - 20} + 4\\frac{2}{5} - (-11)}{2\\frac{1}{2}}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.74, bodu=92, $$3\frac{2}{5} \cdot (21 + (-2) - (10 - (-5)) + 4)=\textcolor{white}{27{,}2}$$return {
["body"] = 92,
["id"] = "YqBp6v_1206_0011",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = 27.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 136,
["jmenovatel"] = 5 },
["render"] = "\\frac{136}{5}",
["typ"] = "cislo" },
["tex"] = "27\\frac{1}{5}",
["tex_float"] = "27{,}2",
["x"] = 27,
["y"] = 1,
["z"] = 5 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.74",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "21 + (-2)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "10 - (-5)",
["typ"] = "minus" },
["render"] = "(10 - (-5))",
["typ"] = "zavorka" },
["render"] = "21 + (-2) - (10 - (-5))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "21 + (-2) - (10 - (-5)) + 4",
["typ"] = "plus" },
["render"] = "(21 + (-2) - (10 - (-5)) + 4)",
["typ"] = "zavorka" },
["render"] = "3\\frac{2}{5} \\cdot (21 + (-2) - (10 - (-5)) + 4)",
["typ"] = "krat" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.75, bodu=93, $$\frac{-11 + (-9 + (-14))}{-9} + (4\frac{4}{8} + (-17) + 12)^2=\textcolor{white}{4\frac{1}{36}}$$return {
["body"] = 93,
["id"] = "dpKLG5_1206_0011",
["obtiznost"] = 0.952,
["reseni"] = {
["float"] = 4.0277777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 145,
["jmenovatel"] = 36 },
["render"] = "\\frac{145}{36}",
["typ"] = "cislo" },
["tex"] = "4\\frac{1}{36}",
["x"] = 4,
["y"] = 1,
["z"] = 36 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["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"] = "plus" },
["render"] = "-11 + (-9 + (-14))",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-11 + (-9 + (-14))}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} + (-17)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} + (-17) + 12",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{4}{8} + (-17) + 12)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-11 + (-9 + (-14))}{-9} + (4\\frac{4}{8} + (-17) + 12)^2",
["typ"] = "plus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.76, bodu=122, $$12 - 3\frac{2}{8} + 15 \cdot (3\frac{5}{12} - (-13)) + (-18)=\textcolor{white}{237}$$return {
["body"] = 122,
["id"] = "c65wrs_1206_0011",
["obtiznost"] = 1.16,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 237,
["jmenovatel"] = 1 },
["render"] = "\\frac{948}{4}",
["typ"] = "cislo" },
["tex"] = "237",
["tex_float"] = "237",
["x"] = 237 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "12 - 3\\frac{2}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{12} - (-13)",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{12} - (-13))",
["typ"] = "zavorka" },
["render"] = "15 \\cdot (3\\frac{5}{12} - (-13))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "15 \\cdot (3\\frac{5}{12} - (-13)) + (-18)",
["typ"] = "plus" },
["render"] = "12 - 3\\frac{2}{8} + 15 \\cdot (3\\frac{5}{12} - (-13)) + (-18)",
["typ"] = "plus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.77, bodu=111, $$\frac{-11 - 15}{(4\frac{1}{4} \cdot (-14 - (-10)))^2}=\textcolor{white}{-\frac{26}{289}}$$return {
["body"] = 111,
["id"] = "TY5b2C_1206_0011",
["obtiznost"] = 1.086,
["reseni"] = {
["float"] = -0.089965397923875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -26,
["jmenovatel"] = 289 },
["render"] = "\\frac{-26}{289}",
["typ"] = "cislo" },
["tex"] = "-\\frac{26}{289}",
["y"] = -26,
["z"] = 289 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-11 - 15",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-14 - (-10)",
["typ"] = "minus" },
["render"] = "(-14 - (-10))",
["typ"] = "zavorka" },
["render"] = "4\\frac{1}{4} \\cdot (-14 - (-10))",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(4\\frac{1}{4} \\cdot (-14 - (-10)))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-11 - 15}{(4\\frac{1}{4} \\cdot (-14 - (-10)))^2}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.78, bodu=125, $$\frac{\frac{9}{14}}{1\frac{5}{10} \cdot 1\frac{2}{7} + 10 + 13}=\textcolor{white}{\frac{9}{349}}$$return {
["body"] = 125,
["id"] = "IeJWWl_1206_0011",
["obtiznost"] = 1.18,
["reseni"] = {
["float"] = 0.025787965616046,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 349 },
["render"] = "\\frac{126}{4886}",
["typ"] = "cislo" },
["tex"] = "\\frac{9}{349}",
["y"] = 9,
["z"] = 349 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{9}{14}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} \\cdot 1\\frac{2}{7}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "10 + 13",
["typ"] = "plus" },
["render"] = "1\\frac{5}{10} \\cdot 1\\frac{2}{7} + 10 + 13",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{9}{14}}{1\\frac{5}{10} \\cdot 1\\frac{2}{7} + 10 + 13}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.79, bodu=157, $$(13 + 3\frac{5}{11}) \cdot -2 \cdot 4\frac{2}{9} \cdot (3\frac{1}{3} + 6)=\textcolor{white}{-1296\frac{256}{297}}$$return {
["body"] = 157,
["id"] = "TGAuq4_1206_0011",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = -1296.861952862,
["objekt"] = {
["hodnota"] = {
["citatel"] = -385168,
["jmenovatel"] = 297 },
["render"] = "\\frac{-385168}{297}",
["typ"] = "cislo" },
["tex"] = "-1296\\frac{256}{297}",
["x"] = -1296,
["y"] = 256,
["z"] = 297 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.79",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "13 + 3\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "(13 + 3\\frac{5}{11})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "-2 \\cdot 4\\frac{2}{9}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{3} + 6",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{3} + 6)",
["typ"] = "zavorka" },
["render"] = "-2 \\cdot 4\\frac{2}{9} \\cdot (3\\frac{1}{3} + 6)",
["typ"] = "krat" },
["render"] = "(13 + 3\\frac{5}{11}) \\cdot -2 \\cdot 4\\frac{2}{9} \\cdot (3\\frac{1}{3} + 6)",
["typ"] = "krat" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.8, bodu=128, $$\frac{(3\frac{1}{6} + 4\frac{3}{10} + (-15)) \cdot (-12 + (-2)) \cdot -10}{12}=\textcolor{white}{-87\frac{8}{9}}$$return {
["body"] = 128,
["id"] = "IZDdOT_1206_0011",
["obtiznost"] = 1.2,
["reseni"] = {
["float"] = -87.888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -791,
["jmenovatel"] = 9 },
["render"] = "\\frac{-3164}{36}",
["typ"] = "cislo" },
["tex"] = "-87\\frac{8}{9}",
["x"] = -87,
["y"] = 8,
["z"] = 9 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} + 4\\frac{3}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} + 4\\frac{3}{10} + (-15)",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{6} + 4\\frac{3}{10} + (-15))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "-12 + (-2)",
["typ"] = "plus" },
["render"] = "(-12 + (-2))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(-12 + (-2)) \\cdot -10",
["typ"] = "krat" },
["render"] = "(3\\frac{1}{6} + 4\\frac{3}{10} + (-15)) \\cdot (-12 + (-2)) \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{(3\\frac{1}{6} + 4\\frac{3}{10} + (-15)) \\cdot (-12 + (-2)) \\cdot -10}{12}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.81, bodu=246, $$(4\frac{1}{8} - 3\frac{3}{7} + 4\frac{5}{6} - (\frac{12}{-3} - (-13))^3) \cdot 1\frac{3}{11}=\textcolor{white}{-920\frac{103}{132}}$$return {
["body"] = 246,
["id"] = "qe4oqM_1206_0011",
["obtiznost"] = 1.902,
["reseni"] = {
["float"] = -920.7803030303,
["objekt"] = {
["hodnota"] = {
["citatel"] = -121543,
["jmenovatel"] = 132 },
["render"] = "\\frac{-1701602}{1848}",
["typ"] = "cislo" },
["tex"] = "-920\\frac{103}{132}",
["x"] = -920,
["y"] = 103,
["z"] = 132 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.81",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{8} - 3\\frac{3}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 6 },
["render"] = "4\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{8} - 3\\frac{3}{7} + 4\\frac{5}{6}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-3}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-3} - (-13)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(\\frac{12}{-3} - (-13))^3",
["typ"] = "mocnina" },
["render"] = "4\\frac{1}{8} - 3\\frac{3}{7} + 4\\frac{5}{6} - (\\frac{12}{-3} - (-13))^3",
["typ"] = "minus" },
["render"] = "(4\\frac{1}{8} - 3\\frac{3}{7} + 4\\frac{5}{6} - (\\frac{12}{-3} - (-13))^3)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "(4\\frac{1}{8} - 3\\frac{3}{7} + 4\\frac{5}{6} - (\\frac{12}{-3} - (-13))^3) \\cdot 1\\frac{3}{11}",
["typ"] = "krat" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.82, bodu=131, $$(7 + 3\frac{3}{10}) \cdot (6 - (-12)) \cdot \frac{-12}{2\frac{1}{5}}=\textcolor{white}{-1011\frac{3}{11}}$$return {
["body"] = 131,
["id"] = "xDNNAg_1206_0011",
["obtiznost"] = 1.22,
["reseni"] = {
["float"] = -1011.2727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11124,
["jmenovatel"] = 11 },
["render"] = "\\frac{-55620}{55}",
["typ"] = "cislo" },
["tex"] = "-1011\\frac{3}{11}",
["x"] = -1011,
["y"] = 3,
["z"] = 11 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "7 + 3\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "(7 + 3\\frac{3}{10})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "6 - (-12)",
["typ"] = "minus" },
["render"] = "(6 - (-12))",
["typ"] = "zavorka" },
["render"] = "(7 + 3\\frac{3}{10}) \\cdot (6 - (-12))",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{2\\frac{1}{5}}",
["typ"] = "lomeno" },
["render"] = "(7 + 3\\frac{3}{10}) \\cdot (6 - (-12)) \\cdot \\frac{-12}{2\\frac{1}{5}}",
["typ"] = "krat" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.83, bodu=104, $$11 - (-6) + \frac{-7 \cdot -19 - 1\frac{4}{11}}{14}=\textcolor{white}{26\frac{31}{77}}$$return {
["body"] = 104,
["id"] = "51zbQ5_1206_0011",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = 26.402597402597,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2033,
["jmenovatel"] = 77 },
["render"] = "\\frac{2033}{77}",
["typ"] = "cislo" },
["tex"] = "26\\frac{31}{77}",
["x"] = 26,
["y"] = 31,
["z"] = 77 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "11 - (-6)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "-7 \\cdot -19",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "-7 \\cdot -19 - 1\\frac{4}{11}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{-7 \\cdot -19 - 1\\frac{4}{11}}{14}",
["typ"] = "lomeno" },
["render"] = "11 - (-6) + \\frac{-7 \\cdot -19 - 1\\frac{4}{11}}{14}",
["typ"] = "plus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.84, bodu=134, $$\frac{18 + (-16)}{3\frac{1}{4} \cdot 4\frac{3}{10}} + (-14 \cdot -9)=\textcolor{white}{126\frac{80}{559}}$$return {
["body"] = 134,
["id"] = "MXe55I_1206_0011",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = 126.14311270125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 70514,
["jmenovatel"] = 559 },
["render"] = "\\frac{70514}{559}",
["typ"] = "cislo" },
["tex"] = "126\\frac{80}{559}",
["x"] = 126,
["y"] = 80,
["z"] = 559 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "18 + (-16)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{4} \\cdot 4\\frac{3}{10}",
["typ"] = "krat" },
["render"] = "\\frac{18 + (-16)}{3\\frac{1}{4} \\cdot 4\\frac{3}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-14 \\cdot -9",
["typ"] = "krat" },
["render"] = "\\frac{18 + (-16)}{3\\frac{1}{4} \\cdot 4\\frac{3}{10}} + (-14 \\cdot -9)",
["typ"] = "plus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.85, bodu=135, $$(16 + 18) \cdot -12 - (-9) + \frac{4\frac{2}{8}}{2\frac{1}{11}} + (-12)=\textcolor{white}{-408\frac{89}{92}}$$return {
["body"] = 135,
["id"] = "CUTtcV_1206_0011",
["obtiznost"] = 1.25,
["reseni"] = {
["float"] = -408.96739130435,
["objekt"] = {
["hodnota"] = {
["citatel"] = -37625,
["jmenovatel"] = 92 },
["render"] = "\\frac{-37625}{92}",
["typ"] = "cislo" },
["tex"] = "-408\\frac{89}{92}",
["x"] = -408,
["y"] = 89,
["z"] = 92 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "16 + 18",
["typ"] = "plus" },
["render"] = "(16 + 18)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(16 + 18) \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(16 + 18) \\cdot -12 - (-9)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 11 },
["render"] = "2\\frac{1}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{8}}{2\\frac{1}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{8}}{2\\frac{1}{11}} + (-12)",
["typ"] = "plus" },
["render"] = "(16 + 18) \\cdot -12 - (-9) + \\frac{4\\frac{2}{8}}{2\\frac{1}{11}} + (-12)",
["typ"] = "plus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.86, bodu=137, $$(-12 \cdot 3\frac{4}{9} + (-11 - (1\frac{1}{7} - (-6)))) \cdot 14=\textcolor{white}{-832\frac{2}{3}}$$return {
["body"] = 137,
["id"] = "yyxaKt_1206_0011",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = -832.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2498,
["jmenovatel"] = 3 },
["render"] = "\\frac{-17486}{21}",
["typ"] = "cislo" },
["tex"] = "-832\\frac{2}{3}",
["x"] = -832,
["y"] = 2,
["z"] = 3 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.86",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 3\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{7} - (-6)",
["typ"] = "minus" },
["render"] = "(1\\frac{1}{7} - (-6))",
["typ"] = "zavorka" },
["render"] = "-11 - (1\\frac{1}{7} - (-6))",
["typ"] = "minus" },
["render"] = "-12 \\cdot 3\\frac{4}{9} + (-11 - (1\\frac{1}{7} - (-6)))",
["typ"] = "plus" },
["render"] = "(-12 \\cdot 3\\frac{4}{9} + (-11 - (1\\frac{1}{7} - (-6))))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "(-12 \\cdot 3\\frac{4}{9} + (-11 - (1\\frac{1}{7} - (-6)))) \\cdot 14",
["typ"] = "krat" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.87, bodu=240, $$(\frac{-16}{3\frac{1}{9}} + 3\frac{4}{15} - 4\frac{3}{12}) \cdot 1\frac{1}{5} \cdot (2\frac{5}{14} + 8)=\textcolor{white}{-76\frac{137}{980}}$$return {
["body"] = 240,
["id"] = "OT6Jjo_1206_0011",
["obtiznost"] = 1.87,
["reseni"] = {
["float"] = -76.139795918367,
["objekt"] = {
["hodnota"] = {
["citatel"] = -74617,
["jmenovatel"] = 980 },
["render"] = "\\frac{-223851}{2940}",
["typ"] = "cislo" },
["tex"] = "-76\\frac{137}{980}",
["x"] = -76,
["y"] = 137,
["z"] = 980 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.87",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{3\\frac{1}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 15 },
["render"] = "3\\frac{4}{15}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{15} - 4\\frac{3}{12}",
["typ"] = "minus" },
["render"] = "\\frac{-16}{3\\frac{1}{9}} + 3\\frac{4}{15} - 4\\frac{3}{12}",
["typ"] = "plus" },
["render"] = "(\\frac{-16}{3\\frac{1}{9}} + 3\\frac{4}{15} - 4\\frac{3}{12})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 14 },
["render"] = "2\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{14} + 8",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{14} + 8)",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{5} \\cdot (2\\frac{5}{14} + 8)",
["typ"] = "krat" },
["render"] = "(\\frac{-16}{3\\frac{1}{9}} + 3\\frac{4}{15} - 4\\frac{3}{12}) \\cdot 1\\frac{1}{5} \\cdot (2\\frac{5}{14} + 8)",
["typ"] = "krat" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.88, bodu=172, $$3\frac{5}{11} \cdot -10 - (3\frac{5}{12} - (-4)) \cdot 16 \cdot 2\frac{4}{6}=\textcolor{white}{-350\frac{98}{99}}$$return {
["body"] = 172,
["id"] = "X0KY4f_1206_0011",
["obtiznost"] = 1.48,
["reseni"] = {
["float"] = -350.9898989899,
["objekt"] = {
["hodnota"] = {
["citatel"] = -34748,
["jmenovatel"] = 99 },
["render"] = "\\frac{-34748}{99}",
["typ"] = "cislo" },
["tex"] = "-350\\frac{98}{99}",
["x"] = -350,
["y"] = 98,
["z"] = 99 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{12} - (-4)",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{12} - (-4))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "16 \\cdot 2\\frac{4}{6}",
["typ"] = "krat" },
["render"] = "(3\\frac{5}{12} - (-4)) \\cdot 16 \\cdot 2\\frac{4}{6}",
["typ"] = "krat" },
["render"] = "3\\frac{5}{11} \\cdot -10 - (3\\frac{5}{12} - (-4)) \\cdot 16 \\cdot 2\\frac{4}{6}",
["typ"] = "minus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.89, bodu=141, $$-12 \cdot -20 \cdot 2\frac{4}{12} \cdot 4\frac{2}{7} \cdot 6=\textcolor{white}{14400}$$return {
["body"] = 141,
["id"] = "vX3dMc_1206_0011",
["obtiznost"] = 1.29,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 14400,
["jmenovatel"] = 1 },
["render"] = "\\frac{14400}{1}",
["typ"] = "cislo" },
["tex"] = "14400",
["tex_float"] = "14400",
["x"] = 14400 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "-12 \\cdot -20",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{12} \\cdot 4\\frac{2}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{12} \\cdot 4\\frac{2}{7} \\cdot 6",
["typ"] = "krat" },
["render"] = "-12 \\cdot -20 \\cdot 2\\frac{4}{12} \\cdot 4\\frac{2}{7} \\cdot 6",
["typ"] = "krat" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.9, bodu=113, $$\frac{20}{-7} + \frac{4\frac{3}{8} - 12}{18 - (-9)}=\textcolor{white}{-3\frac{211}{1512}}$$return {
["body"] = 113,
["id"] = "xpiVth_1206_0011",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = -3.1395502645503,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4747,
["jmenovatel"] = 1512 },
["render"] = "\\frac{-4747}{1512}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{211}{1512}",
["x"] = -3,
["y"] = 211,
["z"] = 1512 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{20}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} - 12",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "18 - (-9)",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{3}{8} - 12}{18 - (-9)}",
["typ"] = "lomeno" },
["render"] = "\\frac{20}{-7} + \\frac{4\\frac{3}{8} - 12}{18 - (-9)}",
["typ"] = "plus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.91, bodu=211, $$2\frac{3}{9} + (-19 - \frac{-7}{\frac{4\frac{1}{11}}{\frac{3\frac{2}{9}}{1\frac{2}{6}}}})=\textcolor{white}{-12\frac{287}{540}}$$return {
["body"] = 211,
["id"] = "JNa9ZO_1206_0011",
["obtiznost"] = 1.71,
["reseni"] = {
["float"] = -12.531481481481,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6767,
["jmenovatel"] = 540 },
["render"] = "\\frac{-20301}{1620}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{287}{540}",
["x"] = -12,
["y"] = 287,
["z"] = 540 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.91",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 11 },
["render"] = "4\\frac{1}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{9}}{1\\frac{2}{6}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{1}{11}}{\\frac{3\\frac{2}{9}}{1\\frac{2}{6}}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-7}{\\frac{4\\frac{1}{11}}{\\frac{3\\frac{2}{9}}{1\\frac{2}{6}}}}",
["typ"] = "lomeno" },
["render"] = "-19 - \\frac{-7}{\\frac{4\\frac{1}{11}}{\\frac{3\\frac{2}{9}}{1\\frac{2}{6}}}}",
["typ"] = "minus" },
["render"] = "2\\frac{3}{9} + (-19 - \\frac{-7}{\\frac{4\\frac{1}{11}}{\\frac{3\\frac{2}{9}}{1\\frac{2}{6}}}})",
["typ"] = "plus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.92, bodu=146, $$\frac{(-17 - 19) \cdot -16 \cdot 3\frac{2}{5} - 2\frac{2}{9}}{13}=\textcolor{white}{150\frac{278}{585}}$$return {
["body"] = 146,
["id"] = "vqojEJ_1206_0011",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = 150.47521367521,
["objekt"] = {
["hodnota"] = {
["citatel"] = 88028,
["jmenovatel"] = 585 },
["render"] = "\\frac{88028}{585}",
["typ"] = "cislo" },
["tex"] = "150\\frac{278}{585}",
["x"] = 150,
["y"] = 278,
["z"] = 585 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "-17 - 19",
["typ"] = "minus" },
["render"] = "(-17 - 19)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 3\\frac{2}{5}",
["typ"] = "krat" },
["render"] = "(-17 - 19) \\cdot -16 \\cdot 3\\frac{2}{5}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "(-17 - 19) \\cdot -16 \\cdot 3\\frac{2}{5} - 2\\frac{2}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{(-17 - 19) \\cdot -16 \\cdot 3\\frac{2}{5} - 2\\frac{2}{9}}{13}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.93, bodu=214, $$1\frac{4}{9} - (-18) - 1\frac{3}{8} - (\frac{2\frac{2}{8}}{14} - 1\frac{4}{14})=\textcolor{white}{19\frac{7}{36}}$$return {
["body"] = 214,
["id"] = "TH4N4t_1206_0011",
["obtiznost"] = 1.73,
["reseni"] = {
["float"] = 19.194444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 691,
["jmenovatel"] = 36 },
["render"] = "\\frac{11056}{576}",
["typ"] = "cislo" },
["tex"] = "19\\frac{7}{36}",
["x"] = 19,
["y"] = 7,
["z"] = 36 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{9} - (-18)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{9} - (-18) - 1\\frac{3}{8}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{8}}{14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{14}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{8}}{14} - 1\\frac{4}{14}",
["typ"] = "minus" },
["render"] = "(\\frac{2\\frac{2}{8}}{14} - 1\\frac{4}{14})",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{9} - (-18) - 1\\frac{3}{8} - (\\frac{2\\frac{2}{8}}{14} - 1\\frac{4}{14})",
["typ"] = "minus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.94, bodu=181, $$4\frac{1}{10} \cdot 2\frac{4}{7} \cdot \frac{14 - 14 \cdot -11}{3\frac{1}{4}}=\textcolor{white}{544\frac{64}{65}}$$return {
["body"] = 181,
["id"] = "nTO8WA_1206_0011",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = 544.98461538462,
["objekt"] = {
["hodnota"] = {
["citatel"] = 35424,
["jmenovatel"] = 65 },
["render"] = "\\frac{70848}{130}",
["typ"] = "cislo" },
["tex"] = "544\\frac{64}{65}",
["x"] = 544,
["y"] = 64,
["z"] = 65 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.94",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 10 },
["render"] = "4\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "14 \\cdot -11",
["typ"] = "krat" },
["render"] = "14 - 14 \\cdot -11",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{14 - 14 \\cdot -11}{3\\frac{1}{4}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{4}{7} \\cdot \\frac{14 - 14 \\cdot -11}{3\\frac{1}{4}}",
["typ"] = "krat" },
["render"] = "4\\frac{1}{10} \\cdot 2\\frac{4}{7} \\cdot \\frac{14 - 14 \\cdot -11}{3\\frac{1}{4}}",
["typ"] = "krat" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.95, bodu=183, $$\frac{1\frac{5}{14}}{(\frac{12}{2\frac{2}{5}} + 3\frac{1}{5}) \cdot 17 + 10}=\textcolor{white}{\frac{95}{10458}}$$return {
["body"] = 183,
["id"] = "bLpRfw_1206_0011",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = 0.0090839548670874,
["objekt"] = {
["hodnota"] = {
["citatel"] = 95,
["jmenovatel"] = 10458 },
["render"] = "\\frac{95}{10458}",
["typ"] = "cislo" },
["tex"] = "\\frac{95}{10458}",
["y"] = 95,
["z"] = 10458 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.95",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 14 },
["render"] = "1\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{2\\frac{2}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{2\\frac{2}{5}} + 3\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "(\\frac{12}{2\\frac{2}{5}} + 3\\frac{1}{5})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "(\\frac{12}{2\\frac{2}{5}} + 3\\frac{1}{5}) \\cdot 17",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(\\frac{12}{2\\frac{2}{5}} + 3\\frac{1}{5}) \\cdot 17 + 10",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{5}{14}}{(\\frac{12}{2\\frac{2}{5}} + 3\\frac{1}{5}) \\cdot 17 + 10}",
["typ"] = "lomeno" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.96, bodu=152, $$15 - 11 \cdot (-15 + (-6) + 2\frac{2}{9} \cdot (15 + 4\frac{2}{9}))=\textcolor{white}{-223\frac{71}{81}}$$return {
["body"] = 152,
["id"] = "rHzoYa_1206_0011",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = -223.87654320988,
["objekt"] = {
["hodnota"] = {
["citatel"] = -18134,
["jmenovatel"] = 81 },
["render"] = "\\frac{-18134}{81}",
["typ"] = "cislo" },
["tex"] = "-223\\frac{71}{81}",
["x"] = -223,
["y"] = 71,
["z"] = 81 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.96",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-15 + (-6)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "15 + 4\\frac{2}{9}",
["typ"] = "plus" },
["render"] = "(15 + 4\\frac{2}{9})",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{9} \\cdot (15 + 4\\frac{2}{9})",
["typ"] = "krat" },
["render"] = "-15 + (-6) + 2\\frac{2}{9} \\cdot (15 + 4\\frac{2}{9})",
["typ"] = "plus" },
["render"] = "(-15 + (-6) + 2\\frac{2}{9} \\cdot (15 + 4\\frac{2}{9}))",
["typ"] = "zavorka" },
["render"] = "11 \\cdot (-15 + (-6) + 2\\frac{2}{9} \\cdot (15 + 4\\frac{2}{9}))",
["typ"] = "krat" },
["render"] = "15 - 11 \\cdot (-15 + (-6) + 2\\frac{2}{9} \\cdot (15 + 4\\frac{2}{9}))",
["typ"] = "minus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.97, bodu=221, $$\frac{4\frac{5}{9}}{4\frac{3}{8}} - (-18 \cdot (2\frac{1}{9} + 2\frac{3}{13})) - (-13)=\textcolor{white}{92\frac{799}{4095}}$$return {
["body"] = 221,
["id"] = "NMRkMC_1206_0011",
["obtiznost"] = 1.77,
["reseni"] = {
["float"] = 92.195115995116,
["objekt"] = {
["hodnota"] = {
["citatel"] = 377539,
["jmenovatel"] = 4095 },
["render"] = "\\frac{377539}{4095}",
["typ"] = "cislo" },
["tex"] = "92\\frac{799}{4095}",
["x"] = 92,
["y"] = 799,
["z"] = 4095 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{9}}{4\\frac{3}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 13 },
["render"] = "2\\frac{3}{13}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{9} + 2\\frac{3}{13}",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{9} + 2\\frac{3}{13})",
["typ"] = "zavorka" },
["render"] = "-18 \\cdot (2\\frac{1}{9} + 2\\frac{3}{13})",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{5}{9}}{4\\frac{3}{8}} - (-18 \\cdot (2\\frac{1}{9} + 2\\frac{3}{13}))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{9}}{4\\frac{3}{8}} - (-18 \\cdot (2\\frac{1}{9} + 2\\frac{3}{13})) - (-13)",
["typ"] = "minus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.98, bodu=223, $$\frac{-17}{4\frac{3}{4}} - \frac{-19}{3\frac{3}{9} - (-15) + 4\frac{3}{9} + 4\frac{1}{7}}=\textcolor{white}{-2\frac{9309}{10697}}$$return {
["body"] = 223,
["id"] = "DKBtYO_1206_0011",
["obtiznost"] = 1.78,
["reseni"] = {
["float"] = -2.8702439936431,
["objekt"] = {
["hodnota"] = {
["citatel"] = -30703,
["jmenovatel"] = 10697 },
["render"] = "\\frac{-30703}{10697}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{9309}{10697}",
["x"] = -2,
["y"] = 9309,
["z"] = 10697 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{4\\frac{3}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{9} - (-15)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} + 4\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "3\\frac{3}{9} - (-15) + 4\\frac{3}{9} + 4\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "\\frac{-19}{3\\frac{3}{9} - (-15) + 4\\frac{3}{9} + 4\\frac{1}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-17}{4\\frac{3}{4}} - \\frac{-19}{3\\frac{3}{9} - (-15) + 4\\frac{3}{9} + 4\\frac{1}{7}}",
["typ"] = "minus" } }
seed: qWYAe8BoWvgPVqPcBMSH_0.99, bodu=157, $$-16 - \frac{1\frac{1}{5} \cdot -18 + 12}{-8} + 1\frac{4}{7} - (-13)=\textcolor{white}{-2\frac{22}{35}}$$return {
["body"] = 157,
["id"] = "KNbuBd_1206_0011",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = -2.6285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -92,
["jmenovatel"] = 35 },
["render"] = "\\frac{-92}{35}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{22}{35}",
["x"] = -2,
["y"] = 22,
["z"] = 35 },
["seed"] = "qWYAe8BoWvgPVqPcBMSH_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{5} \\cdot -18",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{5} \\cdot -18 + 12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{5} \\cdot -18 + 12}{-8}",
["typ"] = "lomeno" },
["render"] = "-16 - \\frac{1\\frac{1}{5} \\cdot -18 + 12}{-8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-16 - \\frac{1\\frac{1}{5} \\cdot -18 + 12}{-8} + 1\\frac{4}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-16 - \\frac{1\\frac{1}{5} \\cdot -18 + 12}{-8} + 1\\frac{4}{7} - (-13)",
["typ"] = "minus" } }
13-ecstatic-dog-gifs_a-cupcake.webp:
1YQJ.gif: 
1aj.gif: 
200w.gif: 
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5ba.gif: 
AS001921_15.gif: 
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Lucky-star-good-job-o.gif: 
SpanishForcefulfsdgIcelandicsheepdog-max-1mb.gif: 
Toothless_ecstatic_claps.gif: 
UJrA.gif: 
VEKsdfggfd0.gif: 
anime-cegfdhhhlebration-gif-9.gif: 
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aph1.gif: 
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jocelyn_ecstatic__animated__by_tsnow-d7kwtd6.gif: 
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