- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: jUl38SecKie0VXtF4zsE_0, bodu=5, $$6 \cdot 4 + 3 + 7=\textcolor{white}{34}$$return {
["body"] = 5,
["id"] = "s5ndwf_0211_1341",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 34,
["jmenovatel"] = 1 },
["render"] = "\\frac{34}{1}",
["typ"] = "cislo" },
["tex"] = "34",
["x"] = 34 },
["seed"] = "jUl38SecKie0VXtF4zsE_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "6 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "6 \\cdot 4 + 3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 \\cdot 4 + 3 + 7",
["typ"] = "plus" } }
seed: jUl38SecKie0VXtF4zsE_0.01, bodu=5, $$4 \cdot 7 - (8 + 2)^2=\textcolor{white}{-72}$$return {
["body"] = 5,
["id"] = "jlcGJS_0211_1341",
["obtiznost"] = 0.0504,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -72,
["jmenovatel"] = 1 },
["render"] = "\\frac{-72}{1}",
["typ"] = "cislo" },
["tex"] = "-72",
["x"] = -72 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "8 + 2",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(8 + 2)^2",
["typ"] = "mocnina" },
["render"] = "4 \\cdot 7 - (8 + 2)^2",
["typ"] = "minus" } }
seed: jUl38SecKie0VXtF4zsE_0.02, bodu=10, $$5 \cdot ((\frac{6}{9})^3 + 8)=\textcolor{white}{41\frac{13}{27}}$$return {
["body"] = 10,
["id"] = "O9QwVY_0211_1341",
["obtiznost"] = 0.034,
["reseni"] = {
["float"] = 41.481481481481,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1120,
["jmenovatel"] = 27 },
["render"] = "\\frac{1120}{27}",
["typ"] = "cislo" },
["tex"] = "41\\frac{13}{27}",
["x"] = 41,
["y"] = 13,
["z"] = 27 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.02",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["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"] = 3,
["render"] = "(\\frac{6}{9})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(\\frac{6}{9})^3 + 8",
["typ"] = "plus" },
["render"] = "((\\frac{6}{9})^3 + 8)",
["typ"] = "zavorka" },
["render"] = "5 \\cdot ((\\frac{6}{9})^3 + 8)",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.03, bodu=10, $$\frac{\frac{-9}{7}}{6 + 6}=\textcolor{white}{-\frac{3}{28}}$$return {
["body"] = 10,
["id"] = "ggR3ky_0211_1341",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = -0.10714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 28 },
["render"] = "\\frac{-9}{84}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3}{28}",
["y"] = -3,
["z"] = 28 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{7}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 + 6",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{-9}{7}}{6 + 6}",
["typ"] = "lomeno" } }
seed: jUl38SecKie0VXtF4zsE_0.04, bodu=5, $$7 + 7 \cdot 10 - (-8)=\textcolor{white}{85}$$return {
["body"] = 5,
["id"] = "IyHom2_0211_1341",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 85,
["jmenovatel"] = 1 },
["render"] = "\\frac{85}{1}",
["typ"] = "cislo" },
["tex"] = "85",
["x"] = 85 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["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"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "7 \\cdot 10 - (-8)",
["typ"] = "minus" },
["render"] = "7 + 7 \\cdot 10 - (-8)",
["typ"] = "plus" } }
seed: jUl38SecKie0VXtF4zsE_0.05, bodu=5, $$4 \cdot 9 \cdot 9=\textcolor{white}{324}$$return {
["body"] = 5,
["id"] = "6HiXmb_0211_1341",
["obtiznost"] = 0.05,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 324,
["jmenovatel"] = 1 },
["render"] = "\\frac{324}{1}",
["typ"] = "cislo" },
["tex"] = "324",
["tex_float"] = "324",
["x"] = 324 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 \\cdot 9",
["typ"] = "krat" },
["render"] = "4 \\cdot 9 \\cdot 9",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.06, bodu=5, $$9 + 5 + 7 + 7 + 4=\textcolor{white}{32}$$return {
["body"] = 5,
["id"] = "tEHMwM_0211_1341",
["obtiznost"] = 0.06,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 1 },
["render"] = "\\frac{32}{1}",
["typ"] = "cislo" },
["tex"] = "32",
["x"] = 32 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.06",
["zadani"] = {
["c1"] = {
["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" },
["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"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "7 + 7 + 4",
["typ"] = "plus" },
["render"] = "9 + 5 + 7 + 7 + 4",
["typ"] = "plus" } }
seed: jUl38SecKie0VXtF4zsE_0.07, bodu=11, $$-8 \cdot \frac{5}{9}=\textcolor{white}{-4\frac{4}{9}}$$return {
["body"] = 11,
["id"] = "44KAnf_0211_1341",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = -4.4444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -40,
["jmenovatel"] = 9 },
["render"] = "\\frac{-40}{9}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{4}{9}",
["x"] = -4,
["y"] = 4,
["z"] = 9 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.07",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{5}{9}",
["typ"] = "lomeno" },
["render"] = "-8 \\cdot \\frac{5}{9}",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.08, bodu=12, $$4 \cdot \frac{8 + 3}{8}=\textcolor{white}{5{,}5}$$return {
["body"] = 12,
["id"] = "WFTbAx_0211_1341",
["obtiznost"] = 0.08,
["reseni"] = {
["float"] = 5.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 2 },
["render"] = "\\frac{44}{8}",
["typ"] = "cislo" },
["tex"] = "5\\frac{1}{2}",
["tex_float"] = "5{,}5",
["x"] = 5,
["y"] = 1,
["z"] = 2 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.08",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "8 + 3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{8 + 3}{8}",
["typ"] = "lomeno" },
["render"] = "4 \\cdot \\frac{8 + 3}{8}",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.09, bodu=7, $$5 + (7 - (6 - 12))^2=\textcolor{white}{174}$$return {
["body"] = 7,
["id"] = "m7fUn6_0211_1341",
["obtiznost"] = 0.158,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 174,
["jmenovatel"] = 1 },
["render"] = "\\frac{174}{1}",
["typ"] = "cislo" },
["tex"] = "174",
["tex_float"] = "174",
["x"] = 174 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["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 - (6 - 12)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(7 - (6 - 12))^2",
["typ"] = "mocnina" },
["render"] = "5 + (7 - (6 - 12))^2",
["typ"] = "plus" } }
seed: jUl38SecKie0VXtF4zsE_0.1, bodu=12, $$9 + \frac{10}{-11} + 5=\textcolor{white}{13\frac{1}{11}}$$return {
["body"] = 12,
["id"] = "Qm6Jjt_0211_1341",
["obtiznost"] = 0.1,
["reseni"] = {
["float"] = 13.090909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = 144,
["jmenovatel"] = 11 },
["render"] = "\\frac{144}{11}",
["typ"] = "cislo" },
["tex"] = "13\\frac{1}{11}",
["x"] = 13,
["y"] = 1,
["z"] = 11 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.1",
["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"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-11} + 5",
["typ"] = "plus" },
["render"] = "9 + \\frac{10}{-11} + 5",
["typ"] = "plus" } }
seed: jUl38SecKie0VXtF4zsE_0.11, bodu=17, $$(\frac{8}{\frac{8 + 4}{7}})^2=\textcolor{white}{21\frac{7}{9}}$$return {
["body"] = 17,
["id"] = "sBJl5I_0211_1341",
["obtiznost"] = 0.192,
["reseni"] = {
["float"] = 21.777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 196,
["jmenovatel"] = 9 },
["render"] = "\\frac{196}{9}",
["typ"] = "cislo" },
["tex"] = "21\\frac{7}{9}",
["x"] = 21,
["y"] = 7,
["z"] = 9 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.11",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "8 + 4",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{8 + 4}{7}",
["typ"] = "lomeno" },
["render"] = "\\frac{8}{\\frac{8 + 4}{7}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8}{\\frac{8 + 4}{7}})^2",
["typ"] = "mocnina" } }
seed: jUl38SecKie0VXtF4zsE_0.12, bodu=6, $$(10 + 10) \cdot ((-7 + 6)^4 + (-12))=\textcolor{white}{-220}$$return {
["body"] = 6,
["id"] = "yXiRcj_0211_1341",
["obtiznost"] = 0.1208,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -220,
["jmenovatel"] = 1 },
["render"] = "\\frac{-220}{1}",
["typ"] = "cislo" },
["tex"] = "-220",
["x"] = -220 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.12",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "10 + 10",
["typ"] = "plus" },
["render"] = "(10 + 10)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-7 + 6",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-7 + 6)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(-7 + 6)^4 + (-12)",
["typ"] = "plus" },
["render"] = "((-7 + 6)^4 + (-12))",
["typ"] = "zavorka" },
["render"] = "(10 + 10) \\cdot ((-7 + 6)^4 + (-12))",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.13, bodu=44, $$6 + \frac{3\frac{3}{7} + 3\frac{2}{5}}{2}=\textcolor{white}{9\frac{29}{70}}$$return {
["body"] = 44,
["id"] = "0GUWGL_0211_1341",
["obtiznost"] = 0.53,
["reseni"] = {
["float"] = 9.4142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 659,
["jmenovatel"] = 70 },
["render"] = "\\frac{659}{70}",
["typ"] = "cislo" },
["tex"] = "9\\frac{29}{70}",
["x"] = 9,
["y"] = 29,
["z"] = 70 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.13",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{7} + 3\\frac{2}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{7} + 3\\frac{2}{5}}{2}",
["typ"] = "lomeno" },
["render"] = "6 + \\frac{3\\frac{3}{7} + 3\\frac{2}{5}}{2}",
["typ"] = "plus" } }
seed: jUl38SecKie0VXtF4zsE_0.14, bodu=14, $$(\frac{11}{-11})^2 + 6 + 7=\textcolor{white}{14}$$return {
["body"] = 14,
["id"] = "8haiKM_0211_1341",
["obtiznost"] = 0.1408,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "\\frac{14}{1}",
["typ"] = "cislo" },
["tex"] = "14",
["tex_float"] = "14",
["x"] = 14 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.14",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{11}{-11})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 + 7",
["typ"] = "plus" },
["render"] = "(\\frac{11}{-11})^2 + 6 + 7",
["typ"] = "plus" } }
seed: jUl38SecKie0VXtF4zsE_0.15, bodu=7, $$8 + 13 - 6 - 4=\textcolor{white}{11}$$return {
["body"] = 7,
["id"] = "N3AIF3_0211_1341",
["obtiznost"] = 0.15,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "\\frac{11}{1}",
["typ"] = "cislo" },
["tex"] = "11",
["x"] = 11 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "13 - 6",
["typ"] = "minus" },
["render"] = "8 + 13 - 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "8 + 13 - 6 - 4",
["typ"] = "minus" } }
seed: jUl38SecKie0VXtF4zsE_0.16, bodu=16, $$\frac{\frac{4}{(-11 + 8)^3}}{-8}=\textcolor{white}{\frac{1}{54}}$$return {
["body"] = 16,
["id"] = "spDmaD_0211_1341",
["obtiznost"] = 0.1712,
["reseni"] = {
["float"] = 0.018518518518519,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 54 },
["render"] = "\\frac{-4}{-216}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{54}",
["y"] = 1,
["z"] = 54 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-11 + 8",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-11 + 8)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{4}{(-11 + 8)^3}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4}{(-11 + 8)^3}}{-8}",
["typ"] = "lomeno" } }
seed: jUl38SecKie0VXtF4zsE_0.17, bodu=8, $$-10 \cdot 6 \cdot 10=\textcolor{white}{-600}$$return {
["body"] = 8,
["id"] = "gqM8oC_0211_1341",
["obtiznost"] = 0.17,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -600,
["jmenovatel"] = 1 },
["render"] = "\\frac{-600}{1}",
["typ"] = "cislo" },
["tex"] = "-600",
["tex_float"] = "-600",
["x"] = -600 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 6 \\cdot 10",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.18, bodu=16, $$\frac{7}{10} \cdot 7=\textcolor{white}{4{,}9}$$return {
["body"] = 16,
["id"] = "tZ3WFV_0211_1341",
["obtiznost"] = 0.18,
["reseni"] = {
["float"] = 4.9,
["objekt"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 10 },
["render"] = "\\frac{49}{10}",
["typ"] = "cislo" },
["tex"] = "4\\frac{9}{10}",
["tex_float"] = "4{,}9",
["x"] = 4,
["y"] = 9,
["z"] = 10 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{7}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{7}{10} \\cdot 7",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.19, bodu=31, $$\frac{3}{7 \cdot (9 + 4\frac{1}{2})}=\textcolor{white}{\frac{2}{63}}$$return {
["body"] = 31,
["id"] = "5kcZnd_0211_1341",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = 0.031746031746032,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 63 },
["render"] = "\\frac{6}{189}",
["typ"] = "cislo" },
["tex"] = "\\frac{2}{63}",
["y"] = 2,
["z"] = 63 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "9 + 4\\frac{1}{2}",
["typ"] = "plus" },
["render"] = "(9 + 4\\frac{1}{2})",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (9 + 4\\frac{1}{2})",
["typ"] = "krat" },
["render"] = "\\frac{3}{7 \\cdot (9 + 4\\frac{1}{2})}",
["typ"] = "lomeno" } }
seed: jUl38SecKie0VXtF4zsE_0.2, bodu=32, $$\frac{4}{\frac{3\frac{2}{7}}{8} - 7}=\textcolor{white}{-\frac{224}{369}}$$return {
["body"] = 32,
["id"] = "Jpmy5f_0211_1341",
["obtiznost"] = 0.4,
["reseni"] = {
["float"] = -0.6070460704607,
["objekt"] = {
["hodnota"] = {
["citatel"] = -224,
["jmenovatel"] = 369 },
["render"] = "\\frac{224}{-369}",
["typ"] = "cislo" },
["tex"] = "-\\frac{224}{369}",
["y"] = -224,
["z"] = 369 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.2",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{7}}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{7}}{8} - 7",
["typ"] = "minus" },
["render"] = "\\frac{4}{\\frac{3\\frac{2}{7}}{8} - 7}",
["typ"] = "lomeno" } }
seed: jUl38SecKie0VXtF4zsE_0.21, bodu=18, $$-9 \cdot 7 \cdot (2\frac{4}{4} - 4)^3=\textcolor{white}{63}$$return {
["body"] = 18,
["id"] = "Jkl7tl_0211_1341",
["obtiznost"] = 0.2108,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 63,
["jmenovatel"] = 1 },
["render"] = "\\frac{63}{1}",
["typ"] = "cislo" },
["tex"] = "63",
["tex_float"] = "63",
["x"] = 63 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "2\\frac{4}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{4} - 4",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(2\\frac{4}{4} - 4)^3",
["typ"] = "mocnina" },
["render"] = "-9 \\cdot 7 \\cdot (2\\frac{4}{4} - 4)^3",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.22, bodu=19, $$(10 - 8)^3 - \frac{9}{10}=\textcolor{white}{7{,}1}$$return {
["body"] = 19,
["id"] = "yIHIZ1_0211_1341",
["obtiznost"] = 0.2236,
["reseni"] = {
["float"] = 7.1,
["objekt"] = {
["hodnota"] = {
["citatel"] = 71,
["jmenovatel"] = 10 },
["render"] = "\\frac{71}{10}",
["typ"] = "cislo" },
["tex"] = "7\\frac{1}{10}",
["tex_float"] = "7{,}1",
["x"] = 7,
["y"] = 1,
["z"] = 10 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.22",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "10 - 8",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(10 - 8)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{9}{10}",
["typ"] = "lomeno" },
["render"] = "(10 - 8)^3 - \\frac{9}{10}",
["typ"] = "minus" } }
seed: jUl38SecKie0VXtF4zsE_0.23, bodu=48, $$\frac{-8}{(\frac{12}{9})^4 \cdot 2\frac{4}{6}}=\textcolor{white}{-\frac{243}{256}}$$return {
["body"] = 48,
["id"] = "1bxGvU_0211_1341",
["obtiznost"] = 0.5648,
["reseni"] = {
["float"] = -0.94921875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -243,
["jmenovatel"] = 256 },
["render"] = "\\frac{-1944}{2048}",
["typ"] = "cislo" },
["tex"] = "-\\frac{243}{256}",
["y"] = -243,
["z"] = 256 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.23",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{12}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{12}{9})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "(\\frac{12}{9})^4 \\cdot 2\\frac{4}{6}",
["typ"] = "krat" },
["render"] = "\\frac{-8}{(\\frac{12}{9})^4 \\cdot 2\\frac{4}{6}}",
["typ"] = "lomeno" } }
seed: jUl38SecKie0VXtF4zsE_0.24, bodu=20, $$\frac{10}{7 \cdot 6 + 6}=\textcolor{white}{\frac{5}{24}}$$return {
["body"] = 20,
["id"] = "BX17AZ_0211_1341",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = 0.20833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 24 },
["render"] = "\\frac{10}{48}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{24}",
["y"] = 5,
["z"] = 24 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.24",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 \\cdot 6 + 6",
["typ"] = "plus" },
["render"] = "\\frac{10}{7 \\cdot 6 + 6}",
["typ"] = "lomeno" } }
seed: jUl38SecKie0VXtF4zsE_0.25, bodu=80, $$\frac{1\frac{3}{9}}{7} \cdot \frac{4\frac{4}{8}}{4\frac{1}{5}}=\textcolor{white}{\frac{10}{49}}$$return {
["body"] = 80,
["id"] = "7QmJdp_0211_1341",
["obtiznost"] = 0.85,
["reseni"] = {
["float"] = 0.20408163265306,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 49 },
["render"] = "\\frac{60}{294}",
["typ"] = "cislo" },
["tex"] = "\\frac{10}{49}",
["y"] = 10,
["z"] = 49 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{9}}{7}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{8}}{4\\frac{1}{5}}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{3}{9}}{7} \\cdot \\frac{4\\frac{4}{8}}{4\\frac{1}{5}}",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.26, bodu=22, $$\frac{\frac{9}{8}}{(9 - 7)^3}=\textcolor{white}{\frac{9}{64}}$$return {
["body"] = 22,
["id"] = "4fGw6b_0211_1341",
["obtiznost"] = 0.2636,
["reseni"] = {
["float"] = 0.140625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 64 },
["render"] = "\\frac{9}{64}",
["typ"] = "cislo" },
["tex"] = "\\frac{9}{64}",
["y"] = 9,
["z"] = 64 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{9}{8}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 - 7",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(9 - 7)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{9}{8}}{(9 - 7)^3}",
["typ"] = "lomeno" } }
seed: jUl38SecKie0VXtF4zsE_0.27, bodu=48, $$(\frac{-6}{-8} - (-6))^2 - 11=\textcolor{white}{34\frac{9}{16}}$$return {
["body"] = 48,
["id"] = "w6fJcQ_0211_1341",
["obtiznost"] = 0.568,
["reseni"] = {
["float"] = 34.5625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 553,
["jmenovatel"] = 16 },
["render"] = "\\frac{553}{16}",
["typ"] = "cislo" },
["tex"] = "34\\frac{9}{16}",
["x"] = 34,
["y"] = 9,
["z"] = 16 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.27",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{-8} - (-6)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(\\frac{-6}{-8} - (-6))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(\\frac{-6}{-8} - (-6))^2 - 11",
["typ"] = "minus" } }
seed: jUl38SecKie0VXtF4zsE_0.28, bodu=60, $$3\frac{5}{11} - \frac{(\frac{5}{5})^4}{3\frac{1}{6}}=\textcolor{white}{3\frac{29}{209}}$$return {
["body"] = 60,
["id"] = "8PQkl0_0211_1341",
["obtiznost"] = 0.6808,
["reseni"] = {
["float"] = 3.1387559808612,
["objekt"] = {
["hodnota"] = {
["citatel"] = 656,
["jmenovatel"] = 209 },
["render"] = "\\frac{656}{209}",
["typ"] = "cislo" },
["tex"] = "3\\frac{29}{209}",
["x"] = 3,
["y"] = 29,
["z"] = 209 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.28",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{5}{5}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{5}{5})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{5}{5})^4}{3\\frac{1}{6}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{5}{11} - \\frac{(\\frac{5}{5})^4}{3\\frac{1}{6}}",
["typ"] = "minus" } }
seed: jUl38SecKie0VXtF4zsE_0.29, bodu=25, $$7 \cdot -14 \cdot (\frac{9}{-6})^3=\textcolor{white}{330{,}75}$$return {
["body"] = 25,
["id"] = "Bk67M9_0211_1341",
["obtiznost"] = 0.304,
["reseni"] = {
["float"] = 330.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1323,
["jmenovatel"] = 4 },
["render"] = "\\frac{1323}{4}",
["typ"] = "cislo" },
["tex"] = "330\\frac{3}{4}",
["tex_float"] = "330{,}75",
["x"] = 330,
["y"] = 3,
["z"] = 4 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.29",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-6}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{9}{-6})^3",
["typ"] = "mocnina" },
["render"] = "-14 \\cdot (\\frac{9}{-6})^3",
["typ"] = "krat" },
["render"] = "7 \\cdot -14 \\cdot (\\frac{9}{-6})^3",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.3, bodu=41, $$\frac{9}{-10 \cdot 12 + 10 + 3\frac{1}{5}}=\textcolor{white}{-\frac{15}{178}}$$return {
["body"] = 41,
["id"] = "J37avr_0211_1341",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = -0.084269662921348,
["objekt"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 178 },
["render"] = "\\frac{45}{-534}",
["typ"] = "cislo" },
["tex"] = "-\\frac{15}{178}",
["y"] = -15,
["z"] = 178 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.3",
["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"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "10 + 3\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "-10 \\cdot 12 + 10 + 3\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "\\frac{9}{-10 \\cdot 12 + 10 + 3\\frac{1}{5}}",
["typ"] = "lomeno" } }
seed: jUl38SecKie0VXtF4zsE_0.31, bodu=42, $$12 + (-7 \cdot (3\frac{3}{9} - 10) + 8)=\textcolor{white}{66\frac{2}{3}}$$return {
["body"] = 42,
["id"] = "nIhoCU_0211_1341",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = 66.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 200,
["jmenovatel"] = 3 },
["render"] = "\\frac{200}{3}",
["typ"] = "cislo" },
["tex"] = "66\\frac{2}{3}",
["x"] = 66,
["y"] = 2,
["z"] = 3 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.31",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{9} - 10",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{9} - 10)",
["typ"] = "zavorka" },
["render"] = "-7 \\cdot (3\\frac{3}{9} - 10)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-7 \\cdot (3\\frac{3}{9} - 10) + 8",
["typ"] = "plus" },
["render"] = "12 + (-7 \\cdot (3\\frac{3}{9} - 10) + 8)",
["typ"] = "plus" } }
seed: jUl38SecKie0VXtF4zsE_0.32, bodu=26, $$\frac{(-8 - 13) \cdot -2}{7}=\textcolor{white}{6}$$return {
["body"] = 26,
["id"] = "wKKCVF_0211_1341",
["obtiznost"] = 0.32,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "\\frac{42}{7}",
["typ"] = "cislo" },
["tex"] = "6",
["x"] = 6 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-8 - 13",
["typ"] = "minus" },
["render"] = "(-8 - 13)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "(-8 - 13) \\cdot -2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{(-8 - 13) \\cdot -2}{7}",
["typ"] = "lomeno" } }
seed: jUl38SecKie0VXtF4zsE_0.33, bodu=22, $$((12 + 8 - (12 - (-10))) \cdot 4)^3=\textcolor{white}{-512}$$return {
["body"] = 22,
["id"] = "TOZAJz_0211_1341",
["obtiznost"] = 0.5352,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -512,
["jmenovatel"] = 1 },
["render"] = "\\frac{-512}{1}",
["typ"] = "cislo" },
["tex"] = "-512",
["tex_float"] = "-512",
["x"] = -512 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.33",
["zadani"] = {
["c"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "12 + 8",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "12 - (-10)",
["typ"] = "minus" },
["render"] = "(12 - (-10))",
["typ"] = "zavorka" },
["render"] = "12 + 8 - (12 - (-10))",
["typ"] = "minus" },
["render"] = "(12 + 8 - (12 - (-10)))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(12 + 8 - (12 - (-10))) \\cdot 4",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "((12 + 8 - (12 - (-10))) \\cdot 4)^3",
["typ"] = "mocnina" } }
seed: jUl38SecKie0VXtF4zsE_0.34, bodu=45, $$1\frac{1}{5} \cdot \frac{7}{13 + 11 + (-6)}=\textcolor{white}{\frac{7}{15}}$$return {
["body"] = 45,
["id"] = "q1IBjx_0211_1341",
["obtiznost"] = 0.54,
["reseni"] = {
["float"] = 0.46666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 15 },
["render"] = "\\frac{42}{90}",
["typ"] = "cislo" },
["tex"] = "\\frac{7}{15}",
["y"] = 7,
["z"] = 15 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "11 + (-6)",
["typ"] = "plus" },
["render"] = "13 + 11 + (-6)",
["typ"] = "plus" },
["render"] = "\\frac{7}{13 + 11 + (-6)}",
["typ"] = "lomeno" },
["render"] = "1\\frac{1}{5} \\cdot \\frac{7}{13 + 11 + (-6)}",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.35, bodu=28, $$\frac{10}{-7} - (-9 \cdot 13)=\textcolor{white}{115\frac{4}{7}}$$return {
["body"] = 28,
["id"] = "EZ6TFK_0211_1341",
["obtiznost"] = 0.35,
["reseni"] = {
["float"] = 115.57142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 809,
["jmenovatel"] = 7 },
["render"] = "\\frac{809}{7}",
["typ"] = "cislo" },
["tex"] = "115\\frac{4}{7}",
["x"] = 115,
["y"] = 4,
["z"] = 7 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 13",
["typ"] = "krat" },
["render"] = "\\frac{10}{-7} - (-9 \\cdot 13)",
["typ"] = "minus" } }
seed: jUl38SecKie0VXtF4zsE_0.36, bodu=47, $$-10 \cdot 11 + 9 \cdot 3\frac{2}{4}=\textcolor{white}{-78{,}5}$$return {
["body"] = 47,
["id"] = "rzrUHS_0211_1341",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = -78.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -157,
["jmenovatel"] = 2 },
["render"] = "\\frac{-157}{2}",
["typ"] = "cislo" },
["tex"] = "-78\\frac{1}{2}",
["tex_float"] = "-78{,}5",
["x"] = -78,
["y"] = 1,
["z"] = 2 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 3\\frac{2}{4}",
["typ"] = "krat" },
["render"] = "-10 \\cdot 11 + 9 \\cdot 3\\frac{2}{4}",
["typ"] = "plus" } }
seed: jUl38SecKie0VXtF4zsE_0.37, bodu=70, $$\frac{11}{\frac{-11}{2\frac{4}{7}} + 4\frac{5}{6} - (-6)}=\textcolor{white}{1\frac{40}{59}}$$return {
["body"] = 70,
["id"] = "TI47Id_0211_1341",
["obtiznost"] = 0.77,
["reseni"] = {
["float"] = 1.6779661016949,
["objekt"] = {
["hodnota"] = {
["citatel"] = 99,
["jmenovatel"] = 59 },
["render"] = "\\frac{99}{59}",
["typ"] = "cislo" },
["tex"] = "1\\frac{40}{59}",
["x"] = 1,
["y"] = 40,
["z"] = 59 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.37",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{2\\frac{4}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 6 },
["render"] = "4\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{2\\frac{4}{7}} + 4\\frac{5}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{2\\frac{4}{7}} + 4\\frac{5}{6} - (-6)",
["typ"] = "minus" },
["render"] = "\\frac{11}{\\frac{-11}{2\\frac{4}{7}} + 4\\frac{5}{6} - (-6)}",
["typ"] = "lomeno" } }
seed: jUl38SecKie0VXtF4zsE_0.38, bodu=49, $$\frac{1\frac{5}{8}}{7} + \frac{10}{8}=\textcolor{white}{1\frac{27}{56}}$$return {
["body"] = 49,
["id"] = "AzlTzB_0211_1341",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = 1.4821428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 83,
["jmenovatel"] = 56 },
["render"] = "\\frac{332}{224}",
["typ"] = "cislo" },
["tex"] = "1\\frac{27}{56}",
["x"] = 1,
["y"] = 27,
["z"] = 56 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{8}}{7}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{10}{8}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{5}{8}}{7} + \\frac{10}{8}",
["typ"] = "plus" } }
seed: jUl38SecKie0VXtF4zsE_0.39, bodu=55, $$6 - ((1\frac{4}{7} \cdot 7)^2 - 3)=\textcolor{white}{-112}$$return {
["body"] = 55,
["id"] = "OHbNev_0211_1341",
["obtiznost"] = 0.6388,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -112,
["jmenovatel"] = 1 },
["render"] = "\\frac{-112}{1}",
["typ"] = "cislo" },
["tex"] = "-112",
["x"] = -112 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.39",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{7} \\cdot 7",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(1\\frac{4}{7} \\cdot 7)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(1\\frac{4}{7} \\cdot 7)^2 - 3",
["typ"] = "minus" },
["render"] = "((1\\frac{4}{7} \\cdot 7)^2 - 3)",
["typ"] = "zavorka" },
["render"] = "6 - ((1\\frac{4}{7} \\cdot 7)^2 - 3)",
["typ"] = "minus" } }
seed: jUl38SecKie0VXtF4zsE_0.4, bodu=51, $$\frac{\frac{\frac{5}{1\frac{2}{5}}}{6}}{-12}=\textcolor{white}{-\frac{25}{504}}$$return {
["body"] = 51,
["id"] = "SGTDG6_0211_1341",
["obtiznost"] = 0.6,
["reseni"] = {
["float"] = -0.049603174603175,
["objekt"] = {
["hodnota"] = {
["citatel"] = -25,
["jmenovatel"] = 504 },
["render"] = "\\frac{25}{-504}",
["typ"] = "cislo" },
["tex"] = "-\\frac{25}{504}",
["y"] = -25,
["z"] = 504 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{5}{1\\frac{2}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{5}{1\\frac{2}{5}}}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{5}{1\\frac{2}{5}}}{6}}{-12}",
["typ"] = "lomeno" } }
seed: jUl38SecKie0VXtF4zsE_0.41, bodu=75, $$\frac{-7 + (-9) - (3\frac{4}{10} - 12 + 6)}{4\frac{3}{7}}=\textcolor{white}{-3\frac{4}{155}}$$return {
["body"] = 75,
["id"] = "nsjQ7c_0211_1341",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = -3.0258064516129,
["objekt"] = {
["hodnota"] = {
["citatel"] = -469,
["jmenovatel"] = 155 },
["render"] = "\\frac{-469}{155}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{4}{155}",
["x"] = -3,
["y"] = 4,
["z"] = 155 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} - 12",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} - 12 + 6",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{10} - 12 + 6)",
["typ"] = "zavorka" },
["render"] = "-7 + (-9) - (3\\frac{4}{10} - 12 + 6)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-7 + (-9) - (3\\frac{4}{10} - 12 + 6)}{4\\frac{3}{7}}",
["typ"] = "lomeno" } }
seed: jUl38SecKie0VXtF4zsE_0.42, bodu=68, $$(12 + 6)^2 + 8 \cdot (2\frac{1}{6} - 16 + (-8))=\textcolor{white}{149\frac{1}{3}}$$return {
["body"] = 68,
["id"] = "yjkGnB_0211_1341",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = 149.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 448,
["jmenovatel"] = 3 },
["render"] = "\\frac{448}{3}",
["typ"] = "cislo" },
["tex"] = "149\\frac{1}{3}",
["x"] = 149,
["y"] = 1,
["z"] = 3 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.42",
["zadani"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(12 + 6)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{6} - 16",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{6} - 16 + (-8)",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{6} - 16 + (-8))",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (2\\frac{1}{6} - 16 + (-8))",
["typ"] = "krat" },
["render"] = "(12 + 6)^2 + 8 \\cdot (2\\frac{1}{6} - 16 + (-8))",
["typ"] = "plus" } }
seed: jUl38SecKie0VXtF4zsE_0.43, bodu=81, $$((-15 + 11)^3 - 12) \cdot (-13 + 4\frac{4}{7} + 2\frac{4}{7})=\textcolor{white}{445\frac{1}{7}}$$return {
["body"] = 81,
["id"] = "JoYsPp_0211_1341",
["obtiznost"] = 0.856,
["reseni"] = {
["float"] = 445.14285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3116,
["jmenovatel"] = 7 },
["render"] = "\\frac{3116}{7}",
["typ"] = "cislo" },
["tex"] = "445\\frac{1}{7}",
["x"] = 445,
["y"] = 1,
["z"] = 7 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.43",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-15 + 11",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-15 + 11)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(-15 + 11)^3 - 12",
["typ"] = "minus" },
["render"] = "((-15 + 11)^3 - 12)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-13 + 4\\frac{4}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-13 + 4\\frac{4}{7} + 2\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "(-13 + 4\\frac{4}{7} + 2\\frac{4}{7})",
["typ"] = "zavorka" },
["render"] = "((-15 + 11)^3 - 12) \\cdot (-13 + 4\\frac{4}{7} + 2\\frac{4}{7})",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.44, bodu=56, $$\frac{\frac{-8}{1\frac{2}{5} + (-10)}}{\frac{11}{12}}=\textcolor{white}{1\frac{7}{473}}$$return {
["body"] = 56,
["id"] = "Fo56c4_0211_1341",
["obtiznost"] = 0.64,
["reseni"] = {
["float"] = 1.014799154334,
["objekt"] = {
["hodnota"] = {
["citatel"] = 480,
["jmenovatel"] = 473 },
["render"] = "\\frac{480}{473}",
["typ"] = "cislo" },
["tex"] = "1\\frac{7}{473}",
["x"] = 1,
["y"] = 7,
["z"] = 473 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{5} + (-10)",
["typ"] = "plus" },
["render"] = "\\frac{-8}{1\\frac{2}{5} + (-10)}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{11}{12}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{-8}{1\\frac{2}{5} + (-10)}}{\\frac{11}{12}}",
["typ"] = "lomeno" } }
seed: jUl38SecKie0VXtF4zsE_0.45, bodu=66, $$(5 + 8) \cdot (6 + 15 - (2\frac{1}{3} + (-7))^2)=\textcolor{white}{-10\frac{1}{9}}$$return {
["body"] = 66,
["id"] = "Hz8gBN_0211_1341",
["obtiznost"] = 0.732,
["reseni"] = {
["float"] = -10.111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = -91,
["jmenovatel"] = 9 },
["render"] = "\\frac{-91}{9}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{1}{9}",
["x"] = -10,
["y"] = 1,
["z"] = 9 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.45",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 + 8",
["typ"] = "plus" },
["render"] = "(5 + 8)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{3} + (-7)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(2\\frac{1}{3} + (-7))^2",
["typ"] = "mocnina" },
["render"] = "15 - (2\\frac{1}{3} + (-7))^2",
["typ"] = "minus" },
["render"] = "6 + 15 - (2\\frac{1}{3} + (-7))^2",
["typ"] = "plus" },
["render"] = "(6 + 15 - (2\\frac{1}{3} + (-7))^2)",
["typ"] = "zavorka" },
["render"] = "(5 + 8) \\cdot (6 + 15 - (2\\frac{1}{3} + (-7))^2)",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.46, bodu=38, $$13 + (\frac{12}{14 + 10})^2 - (9 - 4)=\textcolor{white}{8{,}25}$$return {
["body"] = 38,
["id"] = "HUAvTT_0211_1341",
["obtiznost"] = 0.462,
["reseni"] = {
["float"] = 8.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 4 },
["render"] = "\\frac{33}{4}",
["typ"] = "cislo" },
["tex"] = "8\\frac{1}{4}",
["tex_float"] = "8{,}25",
["x"] = 8,
["y"] = 1,
["z"] = 4 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "14 + 10",
["typ"] = "plus" },
["render"] = "\\frac{12}{14 + 10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{12}{14 + 10})^2",
["typ"] = "mocnina" },
["render"] = "13 + (\\frac{12}{14 + 10})^2",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "9 - 4",
["typ"] = "minus" },
["render"] = "(9 - 4)",
["typ"] = "zavorka" },
["render"] = "13 + (\\frac{12}{14 + 10})^2 - (9 - 4)",
["typ"] = "minus" } }
seed: jUl38SecKie0VXtF4zsE_0.47, bodu=83, $$\frac{-11}{2\frac{2}{7} + \frac{\frac{10}{3\frac{2}{6}}}{7}}=\textcolor{white}{-4\frac{1}{19}}$$return {
["body"] = 83,
["id"] = "cIxHoU_0211_1341",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = -4.0526315789474,
["objekt"] = {
["hodnota"] = {
["citatel"] = -77,
["jmenovatel"] = 19 },
["render"] = "\\frac{-77}{19}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{1}{19}",
["x"] = -4,
["y"] = 1,
["z"] = 19 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.47",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{3\\frac{2}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{10}{3\\frac{2}{6}}}{7}",
["typ"] = "lomeno" },
["render"] = "2\\frac{2}{7} + \\frac{\\frac{10}{3\\frac{2}{6}}}{7}",
["typ"] = "plus" },
["render"] = "\\frac{-11}{2\\frac{2}{7} + \\frac{\\frac{10}{3\\frac{2}{6}}}{7}}",
["typ"] = "lomeno" } }
seed: jUl38SecKie0VXtF4zsE_0.48, bodu=60, $$(1\frac{1}{6} + (-10)) \cdot 12 \cdot 5 \cdot 5=\textcolor{white}{-2650}$$return {
["body"] = 60,
["id"] = "x7Zoeb_0211_1341",
["obtiznost"] = 0.68,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -2650,
["jmenovatel"] = 1 },
["render"] = "\\frac{-15900}{6}",
["typ"] = "cislo" },
["tex"] = "-2650",
["x"] = -2650 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.48",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{6} + (-10)",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{6} + (-10))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "12 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "12 \\cdot 5 \\cdot 5",
["typ"] = "krat" },
["render"] = "(1\\frac{1}{6} + (-10)) \\cdot 12 \\cdot 5 \\cdot 5",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.49, bodu=40, $$\frac{13}{10} + \frac{9}{10} + 14=\textcolor{white}{16{,}2}$$return {
["body"] = 40,
["id"] = "AjgZ6b_0211_1341",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = 16.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 5 },
["render"] = "\\frac{162}{10}",
["typ"] = "cislo" },
["tex"] = "16\\frac{1}{5}",
["tex_float"] = "16{,}2",
["x"] = 16,
["y"] = 1,
["z"] = 5 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{13}{10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{9}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{9}{10} + 14",
["typ"] = "plus" },
["render"] = "\\frac{13}{10} + \\frac{9}{10} + 14",
["typ"] = "plus" } }
seed: jUl38SecKie0VXtF4zsE_0.5, bodu=113, $$\frac{3\frac{1}{4}}{4\frac{3}{7}} \cdot 3\frac{4}{7} - 9 - (-12)=\textcolor{white}{5\frac{77}{124}}$$return {
["body"] = 113,
["id"] = "WOIIMW_0211_1341",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = 5.6209677419355,
["objekt"] = {
["hodnota"] = {
["citatel"] = 697,
["jmenovatel"] = 124 },
["render"] = "\\frac{697}{124}",
["typ"] = "cislo" },
["tex"] = "5\\frac{77}{124}",
["x"] = 5,
["y"] = 77,
["z"] = 124 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{4}}{4\\frac{3}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{4}}{4\\frac{3}{7}} \\cdot 3\\frac{4}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{4}}{4\\frac{3}{7}} \\cdot 3\\frac{4}{7} - 9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{4}}{4\\frac{3}{7}} \\cdot 3\\frac{4}{7} - 9 - (-12)",
["typ"] = "minus" } }
seed: jUl38SecKie0VXtF4zsE_0.51, bodu=42, $$(15 + 13 + 16) \cdot (-9 + \frac{9}{14})=\textcolor{white}{-367\frac{5}{7}}$$return {
["body"] = 42,
["id"] = "COYPZ6_0211_1341",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = -367.71428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2574,
["jmenovatel"] = 7 },
["render"] = "\\frac{-5148}{14}",
["typ"] = "cislo" },
["tex"] = "-367\\frac{5}{7}",
["x"] = -367,
["y"] = 5,
["z"] = 7 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.51",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "15 + 13",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "15 + 13 + 16",
["typ"] = "plus" },
["render"] = "(15 + 13 + 16)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "-9 + \\frac{9}{14}",
["typ"] = "plus" },
["render"] = "(-9 + \\frac{9}{14})",
["typ"] = "zavorka" },
["render"] = "(15 + 13 + 16) \\cdot (-9 + \\frac{9}{14})",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.52, bodu=74, $$13 - ((\frac{1\frac{2}{3} \cdot -3}{13})^2 + (-8))=\textcolor{white}{20\frac{144}{169}}$$return {
["body"] = 74,
["id"] = "N9XS6i_0211_1341",
["obtiznost"] = 0.7976,
["reseni"] = {
["float"] = 20.852071005917,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3524,
["jmenovatel"] = 169 },
["render"] = "\\frac{3524}{169}",
["typ"] = "cislo" },
["tex"] = "20\\frac{144}{169}",
["x"] = 20,
["y"] = 144,
["z"] = 169 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.52",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{3} \\cdot -3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{3} \\cdot -3}{13}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{1\\frac{2}{3} \\cdot -3}{13})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(\\frac{1\\frac{2}{3} \\cdot -3}{13})^2 + (-8)",
["typ"] = "plus" },
["render"] = "((\\frac{1\\frac{2}{3} \\cdot -3}{13})^2 + (-8))",
["typ"] = "zavorka" },
["render"] = "13 - ((\\frac{1\\frac{2}{3} \\cdot -3}{13})^2 + (-8))",
["typ"] = "minus" } }
seed: jUl38SecKie0VXtF4zsE_0.53, bodu=66, $$12 \cdot (12 - (-12 - (-8 - (-6))^2 + 1\frac{4}{8}))=\textcolor{white}{318}$$return {
["body"] = 66,
["id"] = "bCRZC0_0211_1341",
["obtiznost"] = 0.732,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 318,
["jmenovatel"] = 1 },
["render"] = "\\frac{636}{2}",
["typ"] = "cislo" },
["tex"] = "318",
["x"] = 318 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.53",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-8 - (-6)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-8 - (-6))^2",
["typ"] = "mocnina" },
["render"] = "-12 - (-8 - (-6))^2",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-12 - (-8 - (-6))^2 + 1\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "(-12 - (-8 - (-6))^2 + 1\\frac{4}{8})",
["typ"] = "zavorka" },
["render"] = "12 - (-12 - (-8 - (-6))^2 + 1\\frac{4}{8})",
["typ"] = "minus" },
["render"] = "(12 - (-12 - (-8 - (-6))^2 + 1\\frac{4}{8}))",
["typ"] = "zavorka" },
["render"] = "12 \\cdot (12 - (-12 - (-8 - (-6))^2 + 1\\frac{4}{8}))",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.54, bodu=67, $$10 - (-17) + \frac{7}{2\frac{1}{6} - 13}=\textcolor{white}{26\frac{23}{65}}$$return {
["body"] = 67,
["id"] = "aRJ4D9_0211_1341",
["obtiznost"] = 0.74,
["reseni"] = {
["float"] = 26.353846153846,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1713,
["jmenovatel"] = 65 },
["render"] = "\\frac{1713}{65}",
["typ"] = "cislo" },
["tex"] = "26\\frac{23}{65}",
["x"] = 26,
["y"] = 23,
["z"] = 65 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "10 - (-17)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{6} - 13",
["typ"] = "minus" },
["render"] = "\\frac{7}{2\\frac{1}{6} - 13}",
["typ"] = "lomeno" },
["render"] = "10 - (-17) + \\frac{7}{2\\frac{1}{6} - 13}",
["typ"] = "plus" } }
seed: jUl38SecKie0VXtF4zsE_0.55, bodu=68, $$-10 + 16 - (3\frac{4}{9} - (\frac{-5}{10})^3)=\textcolor{white}{2\frac{31}{72}}$$return {
["body"] = 68,
["id"] = "xJYk1X_0211_1341",
["obtiznost"] = 0.7536,
["reseni"] = {
["float"] = 2.4305555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 175,
["jmenovatel"] = 72 },
["render"] = "\\frac{175}{72}",
["typ"] = "cislo" },
["tex"] = "2\\frac{31}{72}",
["x"] = 2,
["y"] = 31,
["z"] = 72 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-10 + 16",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-5}{10})^3",
["typ"] = "mocnina" },
["render"] = "3\\frac{4}{9} - (\\frac{-5}{10})^3",
["typ"] = "minus" },
["render"] = "(3\\frac{4}{9} - (\\frac{-5}{10})^3)",
["typ"] = "zavorka" },
["render"] = "-10 + 16 - (3\\frac{4}{9} - (\\frac{-5}{10})^3)",
["typ"] = "minus" } }
seed: jUl38SecKie0VXtF4zsE_0.56, bodu=122, $$11 \cdot (\frac{-11}{9} + 4\frac{2}{3} + 4\frac{5}{12} - 1\frac{2}{4})=\textcolor{white}{69\frac{35}{36}}$$return {
["body"] = 122,
["id"] = "FdNYA3_0211_1341",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = 69.972222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2519,
["jmenovatel"] = 36 },
["render"] = "\\frac{2519}{36}",
["typ"] = "cislo" },
["tex"] = "69\\frac{35}{36}",
["x"] = 69,
["y"] = 35,
["z"] = 36 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.56",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{12} - 1\\frac{2}{4}",
["typ"] = "minus" },
["render"] = "4\\frac{2}{3} + 4\\frac{5}{12} - 1\\frac{2}{4}",
["typ"] = "plus" },
["render"] = "\\frac{-11}{9} + 4\\frac{2}{3} + 4\\frac{5}{12} - 1\\frac{2}{4}",
["typ"] = "plus" },
["render"] = "(\\frac{-11}{9} + 4\\frac{2}{3} + 4\\frac{5}{12} - 1\\frac{2}{4})",
["typ"] = "zavorka" },
["render"] = "11 \\cdot (\\frac{-11}{9} + 4\\frac{2}{3} + 4\\frac{5}{12} - 1\\frac{2}{4})",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.57, bodu=95, $$2\frac{2}{9} \cdot -10 - (\frac{13}{4\frac{4}{11}} + 8)=\textcolor{white}{-33\frac{29}{144}}$$return {
["body"] = 95,
["id"] = "kiwCJm_0211_1341",
["obtiznost"] = 0.97,
["reseni"] = {
["float"] = -33.201388888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4781,
["jmenovatel"] = 144 },
["render"] = "\\frac{-14343}{432}",
["typ"] = "cislo" },
["tex"] = "-33\\frac{29}{144}",
["x"] = -33,
["y"] = 29,
["z"] = 144 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{4\\frac{4}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{13}{4\\frac{4}{11}} + 8",
["typ"] = "plus" },
["render"] = "(\\frac{13}{4\\frac{4}{11}} + 8)",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{9} \\cdot -10 - (\\frac{13}{4\\frac{4}{11}} + 8)",
["typ"] = "minus" } }
seed: jUl38SecKie0VXtF4zsE_0.58, bodu=71, $$-11 - (13 + 7) + (-12 - 1\frac{3}{8}) - 12=\textcolor{white}{-56{,}375}$$return {
["body"] = 71,
["id"] = "6K21e1_0211_1341",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = -56.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -451,
["jmenovatel"] = 8 },
["render"] = "\\frac{-451}{8}",
["typ"] = "cislo" },
["tex"] = "-56\\frac{3}{8}",
["tex_float"] = "-56{,}375",
["x"] = -56,
["y"] = 3,
["z"] = 8 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "13 + 7",
["typ"] = "plus" },
["render"] = "(13 + 7)",
["typ"] = "zavorka" },
["render"] = "-11 - (13 + 7)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-12 - 1\\frac{3}{8}",
["typ"] = "minus" },
["render"] = "-11 - (13 + 7) + (-12 - 1\\frac{3}{8})",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-11 - (13 + 7) + (-12 - 1\\frac{3}{8}) - 12",
["typ"] = "minus" } }
seed: jUl38SecKie0VXtF4zsE_0.59, bodu=73, $$(13 + 8 + 16) \cdot 4 \cdot 2\frac{2}{3}=\textcolor{white}{394\frac{2}{3}}$$return {
["body"] = 73,
["id"] = "NPpNzs_0211_1341",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = 394.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1184,
["jmenovatel"] = 3 },
["render"] = "\\frac{1184}{3}",
["typ"] = "cislo" },
["tex"] = "394\\frac{2}{3}",
["x"] = 394,
["y"] = 2,
["z"] = 3 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.59",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "13 + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "13 + 8 + 16",
["typ"] = "plus" },
["render"] = "(13 + 8 + 16)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "4 \\cdot 2\\frac{2}{3}",
["typ"] = "krat" },
["render"] = "(13 + 8 + 16) \\cdot 4 \\cdot 2\\frac{2}{3}",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.6, bodu=100, $$\frac{-10}{2\frac{2}{6} + 12} - (-7 + 1\frac{3}{10}) \cdot -13=\textcolor{white}{-74\frac{343}{430}}$$return {
["body"] = 100,
["id"] = "SSoUIN_0211_1341",
["obtiznost"] = 1,
["reseni"] = {
["float"] = -74.797674418605,
["objekt"] = {
["hodnota"] = {
["citatel"] = -32163,
["jmenovatel"] = 430 },
["render"] = "\\frac{-32163}{430}",
["typ"] = "cislo" },
["tex"] = "-74\\frac{343}{430}",
["x"] = -74,
["y"] = 343,
["z"] = 430 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{6} + 12",
["typ"] = "plus" },
["render"] = "\\frac{-10}{2\\frac{2}{6} + 12}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "-7 + 1\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "(-7 + 1\\frac{3}{10})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(-7 + 1\\frac{3}{10}) \\cdot -13",
["typ"] = "krat" },
["render"] = "\\frac{-10}{2\\frac{2}{6} + 12} - (-7 + 1\\frac{3}{10}) \\cdot -13",
["typ"] = "minus" } }
seed: jUl38SecKie0VXtF4zsE_0.61, bodu=112, $$-13 + (2\frac{4}{6} + \frac{6}{-12})^2 - \frac{1\frac{3}{7}}{15}=\textcolor{white}{-8\frac{101}{252}}$$return {
["body"] = 112,
["id"] = "dyFKMO_0211_1341",
["obtiznost"] = 1.092,
["reseni"] = {
["float"] = -8.4007936507937,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2117,
["jmenovatel"] = 252 },
["render"] = "\\frac{-6351}{756}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{101}{252}",
["x"] = -8,
["y"] = 101,
["z"] = 252 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-12}",
["typ"] = "lomeno" },
["render"] = "2\\frac{4}{6} + \\frac{6}{-12}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(2\\frac{4}{6} + \\frac{6}{-12})^2",
["typ"] = "mocnina" },
["render"] = "-13 + (2\\frac{4}{6} + \\frac{6}{-12})^2",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{7}}{15}",
["typ"] = "lomeno" },
["render"] = "-13 + (2\\frac{4}{6} + \\frac{6}{-12})^2 - \\frac{1\\frac{3}{7}}{15}",
["typ"] = "minus" } }
seed: jUl38SecKie0VXtF4zsE_0.62, bodu=191, $$(-7 - 3\frac{2}{4})^2 - (1\frac{3}{8} - 3\frac{2}{6}) \cdot (1\frac{5}{8} - 6)=\textcolor{white}{101\frac{131}{192}}$$return {
["body"] = 191,
["id"] = "JrOOFL_0211_1341",
["obtiznost"] = 1.598,
["reseni"] = {
["float"] = 101.68229166667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 19523,
["jmenovatel"] = 192 },
["render"] = "\\frac{78092}{768}",
["typ"] = "cislo" },
["tex"] = "101\\frac{131}{192}",
["x"] = 101,
["y"] = 131,
["z"] = 192 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.62",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "-7 - 3\\frac{2}{4}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-7 - 3\\frac{2}{4})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} - 3\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{8} - 3\\frac{2}{6})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{8} - 6",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{8} - 6)",
["typ"] = "zavorka" },
["render"] = "(1\\frac{3}{8} - 3\\frac{2}{6}) \\cdot (1\\frac{5}{8} - 6)",
["typ"] = "krat" },
["render"] = "(-7 - 3\\frac{2}{4})^2 - (1\\frac{3}{8} - 3\\frac{2}{6}) \\cdot (1\\frac{5}{8} - 6)",
["typ"] = "minus" } }
seed: jUl38SecKie0VXtF4zsE_0.63, bodu=104, $$1\frac{4}{6} \cdot 7 \cdot -14 \cdot (-12 + 3\frac{3}{8})=\textcolor{white}{1408{,}75}$$return {
["body"] = 104,
["id"] = "5ST6Qj_0211_1341",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = 1408.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5635,
["jmenovatel"] = 4 },
["render"] = "\\frac{33810}{24}",
["typ"] = "cislo" },
["tex"] = "1408\\frac{3}{4}",
["tex_float"] = "1408{,}75",
["x"] = 1408,
["y"] = 3,
["z"] = 4 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{6} \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{6} \\cdot 7 \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-12 + 3\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(-12 + 3\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{6} \\cdot 7 \\cdot -14 \\cdot (-12 + 3\\frac{3}{8})",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.64, bodu=86, $$(\frac{3\frac{3}{10}}{6} + 17) \cdot (\frac{-7}{-10})^2=\textcolor{white}{8\frac{1199}{2000}}$$return {
["body"] = 86,
["id"] = "KWyjv6_0211_1341",
["obtiznost"] = 0.8996,
["reseni"] = {
["float"] = 8.5995,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17199,
["jmenovatel"] = 2000 },
["render"] = "\\frac{17199}{2000}",
["typ"] = "cislo" },
["tex"] = "8\\frac{1199}{2000}",
["x"] = 8,
["y"] = 1199,
["z"] = 2000 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.64",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{10}}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{10}}{6} + 17",
["typ"] = "plus" },
["render"] = "(\\frac{3\\frac{3}{10}}{6} + 17)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{-10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-7}{-10})^2",
["typ"] = "mocnina" },
["render"] = "(\\frac{3\\frac{3}{10}}{6} + 17) \\cdot (\\frac{-7}{-10})^2",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.65, bodu=135, $$\frac{\frac{3\frac{2}{8}}{4\frac{5}{7}}}{\frac{2\frac{2}{6}}{-7 \cdot 13}}=\textcolor{white}{-26\frac{39}{44}}$$return {
["body"] = 135,
["id"] = "jbPvj4_0211_1341",
["obtiznost"] = 1.25,
["reseni"] = {
["float"] = -26.886363636364,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1183,
["jmenovatel"] = 44 },
["render"] = "\\frac{3549}{-132}",
["typ"] = "cislo" },
["tex"] = "-26\\frac{39}{44}",
["x"] = -26,
["y"] = 39,
["z"] = 44 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{8}}{4\\frac{5}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 13",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{2}{6}}{-7 \\cdot 13}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{3\\frac{2}{8}}{4\\frac{5}{7}}}{\\frac{2\\frac{2}{6}}{-7 \\cdot 13}}",
["typ"] = "lomeno" } }
seed: jUl38SecKie0VXtF4zsE_0.66, bodu=81, $$(\frac{1\frac{2}{5}}{12} - 8) \cdot 6 - (-8)=\textcolor{white}{-39{,}3}$$return {
["body"] = 81,
["id"] = "cCzHhA_0211_1341",
["obtiznost"] = 0.86,
["reseni"] = {
["float"] = -39.3,
["objekt"] = {
["hodnota"] = {
["citatel"] = -393,
["jmenovatel"] = 10 },
["render"] = "\\frac{-393}{10}",
["typ"] = "cislo" },
["tex"] = "-39\\frac{3}{10}",
["tex_float"] = "-39{,}3",
["x"] = -39,
["y"] = 3,
["z"] = 10 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{5}}{12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{5}}{12} - 8",
["typ"] = "minus" },
["render"] = "(\\frac{1\\frac{2}{5}}{12} - 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(\\frac{1\\frac{2}{5}}{12} - 8) \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(\\frac{1\\frac{2}{5}}{12} - 8) \\cdot 6 - (-8)",
["typ"] = "minus" } }
seed: jUl38SecKie0VXtF4zsE_0.67, bodu=109, $$\frac{2\frac{2}{6}}{-14 \cdot -11} \cdot \frac{14}{3\frac{4}{9}}=\textcolor{white}{\frac{21}{341}}$$return {
["body"] = 109,
["id"] = "gYoEUv_0211_1341",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = 0.06158357771261,
["objekt"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 341 },
["render"] = "\\frac{126}{2046}",
["typ"] = "cislo" },
["tex"] = "\\frac{21}{341}",
["y"] = 21,
["z"] = 341 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["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"] = "\\frac{2\\frac{2}{6}}{-14 \\cdot -11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{14}{3\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{2}{6}}{-14 \\cdot -11} \\cdot \\frac{14}{3\\frac{4}{9}}",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.68, bodu=84, $$(\frac{-3}{-13} - 7) \cdot (4\frac{3}{8} - (-12) - 13)=\textcolor{white}{-22\frac{11}{13}}$$return {
["body"] = 84,
["id"] = "n3pceR_0211_1341",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = -22.846153846154,
["objekt"] = {
["hodnota"] = {
["citatel"] = -297,
["jmenovatel"] = 13 },
["render"] = "\\frac{-2376}{104}",
["typ"] = "cislo" },
["tex"] = "-22\\frac{11}{13}",
["x"] = -22,
["y"] = 11,
["z"] = 13 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.68",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{-13} - 7",
["typ"] = "minus" },
["render"] = "(\\frac{-3}{-13} - 7)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["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"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} - (-12) - 13",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{8} - (-12) - 13)",
["typ"] = "zavorka" },
["render"] = "(\\frac{-3}{-13} - 7) \\cdot (4\\frac{3}{8} - (-12) - 13)",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.69, bodu=141, $$(-8 \cdot 3\frac{3}{6} - 4\frac{3}{11}) \cdot \frac{17}{2\frac{3}{5}}=\textcolor{white}{-211\frac{2}{143}}$$return {
["body"] = 141,
["id"] = "LardXC_0211_1341",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = -211.01398601399,
["objekt"] = {
["hodnota"] = {
["citatel"] = -30175,
["jmenovatel"] = 143 },
["render"] = "\\frac{-30175}{143}",
["typ"] = "cislo" },
["tex"] = "-211\\frac{2}{143}",
["x"] = -211,
["y"] = 2,
["z"] = 143 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.69",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 3\\frac{3}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 3\\frac{3}{6} - 4\\frac{3}{11}",
["typ"] = "minus" },
["render"] = "(-8 \\cdot 3\\frac{3}{6} - 4\\frac{3}{11})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{17}{2\\frac{3}{5}}",
["typ"] = "lomeno" },
["render"] = "(-8 \\cdot 3\\frac{3}{6} - 4\\frac{3}{11}) \\cdot \\frac{17}{2\\frac{3}{5}}",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.7, bodu=143, $$3\frac{1}{7} \cdot \frac{12 \cdot 19}{2\frac{5}{11} \cdot 3\frac{4}{12}}=\textcolor{white}{87\frac{61}{105}}$$return {
["body"] = 143,
["id"] = "Nx50gF_0211_1341",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = 87.580952380952,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9196,
["jmenovatel"] = 105 },
["render"] = "\\frac{9196}{105}",
["typ"] = "cislo" },
["tex"] = "87\\frac{61}{105}",
["x"] = 87,
["y"] = 61,
["z"] = 105 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.7",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "12 \\cdot 19",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} \\cdot 3\\frac{4}{12}",
["typ"] = "krat" },
["render"] = "\\frac{12 \\cdot 19}{2\\frac{5}{11} \\cdot 3\\frac{4}{12}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{1}{7} \\cdot \\frac{12 \\cdot 19}{2\\frac{5}{11} \\cdot 3\\frac{4}{12}}",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.71, bodu=144, $$1\frac{5}{13} + 2\frac{1}{7} - 8 \cdot 8 \cdot (2\frac{1}{7} - (-18))=\textcolor{white}{-1285\frac{8}{13}}$$return {
["body"] = 144,
["id"] = "BFPQKJ_0211_1341",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = -1285.6153846154,
["objekt"] = {
["hodnota"] = {
["citatel"] = -16713,
["jmenovatel"] = 13 },
["render"] = "\\frac{-818937}{637}",
["typ"] = "cislo" },
["tex"] = "-1285\\frac{8}{13}",
["x"] = -1285,
["y"] = 8,
["z"] = 13 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{13} + 2\\frac{1}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{7} - (-18)",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{7} - (-18))",
["typ"] = "zavorka" },
["render"] = "8 \\cdot 8 \\cdot (2\\frac{1}{7} - (-18))",
["typ"] = "krat" },
["render"] = "1\\frac{5}{13} + 2\\frac{1}{7} - 8 \\cdot 8 \\cdot (2\\frac{1}{7} - (-18))",
["typ"] = "minus" } }
seed: jUl38SecKie0VXtF4zsE_0.72, bodu=89, $$16 \cdot 2\frac{3}{7} - \frac{7 \cdot -7}{-17}=\textcolor{white}{35\frac{116}{119}}$$return {
["body"] = 89,
["id"] = "GdbBD3_0211_1341",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = 35.974789915966,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4281,
["jmenovatel"] = 119 },
["render"] = "\\frac{4281}{119}",
["typ"] = "cislo" },
["tex"] = "35\\frac{116}{119}",
["x"] = 35,
["y"] = 116,
["z"] = 119 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "16 \\cdot 2\\frac{3}{7}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "7 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{7 \\cdot -7}{-17}",
["typ"] = "lomeno" },
["render"] = "16 \\cdot 2\\frac{3}{7} - \\frac{7 \\cdot -7}{-17}",
["typ"] = "minus" } }
seed: jUl38SecKie0VXtF4zsE_0.73, bodu=118, $$-17 + (-14) - 12 - (-12) + 3\frac{4}{12} \cdot 2\frac{2}{10}=\textcolor{white}{-23\frac{2}{3}}$$return {
["body"] = 118,
["id"] = "O4OObH_0211_1341",
["obtiznost"] = 1.13,
["reseni"] = {
["float"] = -23.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -71,
["jmenovatel"] = 3 },
["render"] = "\\frac{-71}{3}",
["typ"] = "cislo" },
["tex"] = "-23\\frac{2}{3}",
["x"] = -23,
["y"] = 2,
["z"] = 3 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-17 + (-14)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-17 + (-14) - 12",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-17 + (-14) - 12 - (-12)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{12} \\cdot 2\\frac{2}{10}",
["typ"] = "krat" },
["render"] = "-17 + (-14) - 12 - (-12) + 3\\frac{4}{12} \\cdot 2\\frac{2}{10}",
["typ"] = "plus" } }
seed: jUl38SecKie0VXtF4zsE_0.74, bodu=92, $$3\frac{2}{8} \cdot \frac{-4}{-14} \cdot (19 + 16)=\textcolor{white}{32{,}5}$$return {
["body"] = 92,
["id"] = "VwhHLR_0211_1341",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = 32.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 65,
["jmenovatel"] = 2 },
["render"] = "\\frac{455}{14}",
["typ"] = "cislo" },
["tex"] = "32\\frac{1}{2}",
["tex_float"] = "32{,}5",
["x"] = 32,
["y"] = 1,
["z"] = 2 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{-14}",
["typ"] = "lomeno" },
["render"] = "3\\frac{2}{8} \\cdot \\frac{-4}{-14}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "19 + 16",
["typ"] = "plus" },
["render"] = "(19 + 16)",
["typ"] = "zavorka" },
["render"] = "3\\frac{2}{8} \\cdot \\frac{-4}{-14} \\cdot (19 + 16)",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.75, bodu=93, $$(7 - 6)^2 \cdot (1\frac{4}{7} - (-12) - (-15 \cdot 11))=\textcolor{white}{178\frac{4}{7}}$$return {
["body"] = 93,
["id"] = "G48klZ_0211_1341",
["obtiznost"] = 0.9508,
["reseni"] = {
["float"] = 178.57142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1250,
["jmenovatel"] = 7 },
["render"] = "\\frac{1250}{7}",
["typ"] = "cislo" },
["tex"] = "178\\frac{4}{7}",
["x"] = 178,
["y"] = 4,
["z"] = 7 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.75",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 - 6",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(7 - 6)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{7} - (-12)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 11",
["typ"] = "krat" },
["render"] = "1\\frac{4}{7} - (-12) - (-15 \\cdot 11)",
["typ"] = "minus" },
["render"] = "(1\\frac{4}{7} - (-12) - (-15 \\cdot 11))",
["typ"] = "zavorka" },
["render"] = "(7 - 6)^2 \\cdot (1\\frac{4}{7} - (-12) - (-15 \\cdot 11))",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.76, bodu=122, $$\frac{15}{4\frac{3}{7}} + (-19 - 2\frac{2}{9} + (-13 - 16))=\textcolor{white}{-46\frac{233}{279}}$$return {
["body"] = 122,
["id"] = "oPhKB2_0211_1341",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = -46.835125448029,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13067,
["jmenovatel"] = 279 },
["render"] = "\\frac{-13067}{279}",
["typ"] = "cislo" },
["tex"] = "-46\\frac{233}{279}",
["x"] = -46,
["y"] = 233,
["z"] = 279 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{4\\frac{3}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "-19 - 2\\frac{2}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-13 - 16",
["typ"] = "minus" },
["render"] = "-19 - 2\\frac{2}{9} + (-13 - 16)",
["typ"] = "plus" },
["render"] = "\\frac{15}{4\\frac{3}{7}} + (-19 - 2\\frac{2}{9} + (-13 - 16))",
["typ"] = "plus" } }
seed: jUl38SecKie0VXtF4zsE_0.77, bodu=187, $$\frac{(4\frac{3}{6} + 3\frac{5}{10}) \cdot 3\frac{3}{9} \cdot 3\frac{3}{13}}{13}=\textcolor{white}{6\frac{106}{169}}$$return {
["body"] = 187,
["id"] = "hkrTAH_0211_1341",
["obtiznost"] = 1.57,
["reseni"] = {
["float"] = 6.6272189349112,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1120,
["jmenovatel"] = 169 },
["render"] = "\\frac{1120}{169}",
["typ"] = "cislo" },
["tex"] = "6\\frac{106}{169}",
["x"] = 6,
["y"] = 106,
["z"] = 169 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{6} + 3\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{6} + 3\\frac{5}{10})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 42,
["jmenovatel"] = 13 },
["render"] = "3\\frac{3}{13}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{9} \\cdot 3\\frac{3}{13}",
["typ"] = "krat" },
["render"] = "(4\\frac{3}{6} + 3\\frac{5}{10}) \\cdot 3\\frac{3}{9} \\cdot 3\\frac{3}{13}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{(4\\frac{3}{6} + 3\\frac{5}{10}) \\cdot 3\\frac{3}{9} \\cdot 3\\frac{3}{13}}{13}",
["typ"] = "lomeno" } }
seed: jUl38SecKie0VXtF4zsE_0.78, bodu=155, $$\frac{1\frac{5}{12} - 3\frac{4}{10}}{14} \cdot \frac{-8}{2\frac{1}{6}}=\textcolor{white}{\frac{34}{65}}$$return {
["body"] = 155,
["id"] = "2iCOWP_0211_1341",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = 0.52307692307692,
["objekt"] = {
["hodnota"] = {
["citatel"] = 34,
["jmenovatel"] = 65 },
["render"] = "\\frac{816}{1560}",
["typ"] = "cislo" },
["tex"] = "\\frac{34}{65}",
["y"] = 34,
["z"] = 65 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} - 3\\frac{4}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{12} - 3\\frac{4}{10}}{14}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{2\\frac{1}{6}}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{5}{12} - 3\\frac{4}{10}}{14} \\cdot \\frac{-8}{2\\frac{1}{6}}",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.79, bodu=127, $$\frac{\frac{-11 - 6}{1\frac{4}{9} - 2\frac{1}{9}}}{(-12 - (-10))^3}=\textcolor{white}{-3\frac{3}{16}}$$return {
["body"] = 127,
["id"] = "z4jD3N_0211_1341",
["obtiznost"] = 1.1936,
["reseni"] = {
["float"] = -3.1875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -51,
["jmenovatel"] = 16 },
["render"] = "\\frac{51}{-16}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{3}{16}",
["x"] = -3,
["y"] = 3,
["z"] = 16 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.79",
["zadani"] = {
["c1"] = {
["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"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{9} - 2\\frac{1}{9}",
["typ"] = "minus" },
["render"] = "\\frac{-11 - 6}{1\\frac{4}{9} - 2\\frac{1}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-12 - (-10)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-12 - (-10))^3",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{-11 - 6}{1\\frac{4}{9} - 2\\frac{1}{9}}}{(-12 - (-10))^3}",
["typ"] = "lomeno" } }
seed: jUl38SecKie0VXtF4zsE_0.8, bodu=128, $$\frac{3\frac{3}{9} \cdot -8}{-15} - (12 + 2\frac{3}{13} + 10 + 14)=\textcolor{white}{-36\frac{53}{117}}$$return {
["body"] = 128,
["id"] = "di8ukK_0211_1341",
["obtiznost"] = 1.2,
["reseni"] = {
["float"] = -36.452991452991,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4265,
["jmenovatel"] = 117 },
["render"] = "\\frac{-4265}{117}",
["typ"] = "cislo" },
["tex"] = "-36\\frac{53}{117}",
["x"] = -36,
["y"] = 53,
["z"] = 117 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{9} \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{9} \\cdot -8}{-15}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 13 },
["render"] = "2\\frac{3}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{13} + 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{13} + 10 + 14",
["typ"] = "plus" },
["render"] = "12 + 2\\frac{3}{13} + 10 + 14",
["typ"] = "plus" },
["render"] = "(12 + 2\\frac{3}{13} + 10 + 14)",
["typ"] = "zavorka" },
["render"] = "\\frac{3\\frac{3}{9} \\cdot -8}{-15} - (12 + 2\\frac{3}{13} + 10 + 14)",
["typ"] = "minus" } }
seed: jUl38SecKie0VXtF4zsE_0.81, bodu=130, $$\frac{-17}{-7} \cdot (-10 - 1\frac{4}{10}) - (\frac{10}{2\frac{5}{10}})^2=\textcolor{white}{-43\frac{24}{35}}$$return {
["body"] = 130,
["id"] = "9I5ETH_0211_1341",
["obtiznost"] = 1.2168,
["reseni"] = {
["float"] = -43.685714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1529,
["jmenovatel"] = 35 },
["render"] = "\\frac{-1529}{35}",
["typ"] = "cislo" },
["tex"] = "-43\\frac{24}{35}",
["x"] = -43,
["y"] = 24,
["z"] = 35 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "-10 - 1\\frac{4}{10}",
["typ"] = "minus" },
["render"] = "(-10 - 1\\frac{4}{10})",
["typ"] = "zavorka" },
["render"] = "\\frac{-17}{-7} \\cdot (-10 - 1\\frac{4}{10})",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{2\\frac{5}{10}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{2\\frac{5}{10}})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-17}{-7} \\cdot (-10 - 1\\frac{4}{10}) - (\\frac{10}{2\\frac{5}{10}})^2",
["typ"] = "minus" } }
seed: jUl38SecKie0VXtF4zsE_0.82, bodu=171, $$(\frac{14}{4\frac{2}{8} + (-13)})^3 - (-8 + 9 + (-15 - 4\frac{2}{6}))=\textcolor{white}{14\frac{89}{375}}$$return {
["body"] = 171,
["id"] = "X3hUlA_0211_1341",
["obtiznost"] = 1.4748,
["reseni"] = {
["float"] = 14.237333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5339,
["jmenovatel"] = 375 },
["render"] = "\\frac{5339}{375}",
["typ"] = "cislo" },
["tex"] = "14\\frac{89}{375}",
["x"] = 14,
["y"] = 89,
["z"] = 375 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.82",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{8} + (-13)",
["typ"] = "plus" },
["render"] = "\\frac{14}{4\\frac{2}{8} + (-13)}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{14}{4\\frac{2}{8} + (-13)})^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "-15 - 4\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "-8 + 9 + (-15 - 4\\frac{2}{6})",
["typ"] = "plus" },
["render"] = "(-8 + 9 + (-15 - 4\\frac{2}{6}))",
["typ"] = "zavorka" },
["render"] = "(\\frac{14}{4\\frac{2}{8} + (-13)})^3 - (-8 + 9 + (-15 - 4\\frac{2}{6}))",
["typ"] = "minus" } }
seed: jUl38SecKie0VXtF4zsE_0.83, bodu=39, $$-10 \cdot -15 \cdot 15 \cdot (-12 - (11 - (-5)))=\textcolor{white}{-63000}$$return {
["body"] = 39,
["id"] = "400W6C_0211_1341",
["obtiznost"] = 0.83,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -63000,
["jmenovatel"] = 1 },
["render"] = "\\frac{-63000}{1}",
["typ"] = "cislo" },
["tex"] = "-63000",
["tex_float"] = "-63000",
["x"] = -63000 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 15",
["typ"] = "krat" },
["render"] = "-10 \\cdot -15 \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "11 - (-5)",
["typ"] = "minus" },
["render"] = "(11 - (-5))",
["typ"] = "zavorka" },
["render"] = "-12 - (11 - (-5))",
["typ"] = "minus" },
["render"] = "(-12 - (11 - (-5)))",
["typ"] = "zavorka" },
["render"] = "-10 \\cdot -15 \\cdot 15 \\cdot (-12 - (11 - (-5)))",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.84, bodu=105, $$\frac{3\frac{3}{9}}{-12} \cdot (-9 - 16) + (-12 - 7)=\textcolor{white}{-12\frac{1}{18}}$$return {
["body"] = 105,
["id"] = "WLIjrw_0211_1341",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = -12.055555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -217,
["jmenovatel"] = 18 },
["render"] = "\\frac{-217}{18}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{1}{18}",
["x"] = -12,
["y"] = 1,
["z"] = 18 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{9}}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-9 - 16",
["typ"] = "minus" },
["render"] = "(-9 - 16)",
["typ"] = "zavorka" },
["render"] = "\\frac{3\\frac{3}{9}}{-12} \\cdot (-9 - 16)",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-12 - 7",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{3}{9}}{-12} \\cdot (-9 - 16) + (-12 - 7)",
["typ"] = "plus" } }
seed: jUl38SecKie0VXtF4zsE_0.85, bodu=236, $$\frac{2\frac{4}{8}}{1\frac{5}{9} \cdot 4\frac{5}{14}} + 1\frac{3}{5} + 4\frac{3}{11} \cdot -16=\textcolor{white}{-66\frac{2649}{6710}}$$return {
["body"] = 236,
["id"] = "BW0R8A_0211_1341",
["obtiznost"] = 1.85,
["reseni"] = {
["float"] = -66.39478390462,
["objekt"] = {
["hodnota"] = {
["citatel"] = -445509,
["jmenovatel"] = 6710 },
["render"] = "\\frac{-445509}{6710}",
["typ"] = "cislo" },
["tex"] = "-66\\frac{2649}{6710}",
["x"] = -66,
["y"] = 2649,
["z"] = 6710 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 14 },
["render"] = "4\\frac{5}{14}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} \\cdot 4\\frac{5}{14}",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{4}{8}}{1\\frac{5}{9} \\cdot 4\\frac{5}{14}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{8}}{1\\frac{5}{9} \\cdot 4\\frac{5}{14}} + 1\\frac{3}{5}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{11} \\cdot -16",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{4}{8}}{1\\frac{5}{9} \\cdot 4\\frac{5}{14}} + 1\\frac{3}{5} + 4\\frac{3}{11} \\cdot -16",
["typ"] = "plus" } }
seed: jUl38SecKie0VXtF4zsE_0.86, bodu=170, $$1\frac{1}{6} \cdot 3\frac{5}{11} - \frac{2\frac{3}{6} - 12}{(16 - 19)^3}=\textcolor{white}{3\frac{403}{594}}$$return {
["body"] = 170,
["id"] = "WmMOky_0211_1341",
["obtiznost"] = 1.4712,
["reseni"] = {
["float"] = 3.6784511784512,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2185,
["jmenovatel"] = 594 },
["render"] = "\\frac{6555}{1782}",
["typ"] = "cislo" },
["tex"] = "3\\frac{403}{594}",
["x"] = 3,
["y"] = 403,
["z"] = 594 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{6} \\cdot 3\\frac{5}{11}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{6} - 12",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "16 - 19",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(16 - 19)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{2\\frac{3}{6} - 12}{(16 - 19)^3}",
["typ"] = "lomeno" },
["render"] = "1\\frac{1}{6} \\cdot 3\\frac{5}{11} - \\frac{2\\frac{3}{6} - 12}{(16 - 19)^3}",
["typ"] = "minus" } }
seed: jUl38SecKie0VXtF4zsE_0.87, bodu=172, $$2\frac{1}{8} \cdot (2\frac{4}{13} - (\frac{1\frac{3}{9} + (-8)}{\frac{-16}{-12}})^2)=\textcolor{white}{-48\frac{23}{104}}$$return {
["body"] = 172,
["id"] = "aEdt6u_0211_1341",
["obtiznost"] = 1.4804,
["reseni"] = {
["float"] = -48.221153846154,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5015,
["jmenovatel"] = 104 },
["render"] = "\\frac{-5015}{104}",
["typ"] = "cislo" },
["tex"] = "-48\\frac{23}{104}",
["x"] = -48,
["y"] = 23,
["z"] = 104 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.87",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 13 },
["render"] = "2\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{9} + (-8)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{-12}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{3}{9} + (-8)}{\\frac{-16}{-12}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{1\\frac{3}{9} + (-8)}{\\frac{-16}{-12}})^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{4}{13} - (\\frac{1\\frac{3}{9} + (-8)}{\\frac{-16}{-12}})^2",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{13} - (\\frac{1\\frac{3}{9} + (-8)}{\\frac{-16}{-12}})^2)",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{8} \\cdot (2\\frac{4}{13} - (\\frac{1\\frac{3}{9} + (-8)}{\\frac{-16}{-12}})^2)",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.88, bodu=205, $$\frac{4\frac{2}{4}}{-14} - 2\frac{3}{7} + 4\frac{2}{11} \cdot -7 - 4\frac{2}{10}=\textcolor{white}{-36\frac{49}{220}}$$return {
["body"] = 205,
["id"] = "zj1hAt_0211_1341",
["obtiznost"] = 1.68,
["reseni"] = {
["float"] = -36.222727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7969,
["jmenovatel"] = 220 },
["render"] = "\\frac{-7969}{220}",
["typ"] = "cislo" },
["tex"] = "-36\\frac{49}{220}",
["x"] = -36,
["y"] = 49,
["z"] = 220 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{4}}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{4}}{-14} - 2\\frac{3}{7}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 46,
["jmenovatel"] = 11 },
["render"] = "4\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{11} \\cdot -7",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{2}{4}}{-14} - 2\\frac{3}{7} + 4\\frac{2}{11} \\cdot -7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{4}}{-14} - 2\\frac{3}{7} + 4\\frac{2}{11} \\cdot -7 - 4\\frac{2}{10}",
["typ"] = "minus" } }
seed: jUl38SecKie0VXtF4zsE_0.89, bodu=173, $$3\frac{2}{6} \cdot (4\frac{4}{15} + (-6)) + (4\frac{5}{10} + 14) \cdot -11 + 15=\textcolor{white}{-194\frac{5}{18}}$$return {
["body"] = 173,
["id"] = "XCsqDT_0211_1341",
["obtiznost"] = 1.49,
["reseni"] = {
["float"] = -194.27777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3497,
["jmenovatel"] = 18 },
["render"] = "\\frac{-3497}{18}",
["typ"] = "cislo" },
["tex"] = "-194\\frac{5}{18}",
["x"] = -194,
["y"] = 5,
["z"] = 18 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 64,
["jmenovatel"] = 15 },
["render"] = "4\\frac{4}{15}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{15} + (-6)",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{15} + (-6))",
["typ"] = "zavorka" },
["render"] = "3\\frac{2}{6} \\cdot (4\\frac{4}{15} + (-6))",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{10} + 14",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{10} + 14)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "(4\\frac{5}{10} + 14) \\cdot -11",
["typ"] = "krat" },
["render"] = "3\\frac{2}{6} \\cdot (4\\frac{4}{15} + (-6)) + (4\\frac{5}{10} + 14) \\cdot -11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} \\cdot (4\\frac{4}{15} + (-6)) + (4\\frac{5}{10} + 14) \\cdot -11 + 15",
["typ"] = "plus" } }
seed: jUl38SecKie0VXtF4zsE_0.9, bodu=143, $$\frac{\frac{2\frac{3}{6}}{19}}{16 - 3\frac{1}{7}} - 19 + (-22)=\textcolor{white}{-40\frac{677}{684}}$$return {
["body"] = 143,
["id"] = "0kfU6J_0211_1341",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = -40.989766081871,
["objekt"] = {
["hodnota"] = {
["citatel"] = -28037,
["jmenovatel"] = 684 },
["render"] = "\\frac{-28037}{684}",
["typ"] = "cislo" },
["tex"] = "-40\\frac{677}{684}",
["x"] = -40,
["y"] = 677,
["z"] = 684 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{6}}{19}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "16 - 3\\frac{1}{7}",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{2\\frac{3}{6}}{19}}{16 - 3\\frac{1}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{3}{6}}{19}}{16 - 3\\frac{1}{7}} - 19",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{3}{6}}{19}}{16 - 3\\frac{1}{7}} - 19 + (-22)",
["typ"] = "plus" } }
seed: jUl38SecKie0VXtF4zsE_0.91, bodu=194, $$(-11 - (-7))^4 + 14 - 1\frac{2}{8} + (-8 + 4\frac{3}{9} - (-11 + 4\frac{4}{11}))=\textcolor{white}{271\frac{95}{132}}$$return {
["body"] = 194,
["id"] = "UpgXTI_0211_1341",
["obtiznost"] = 1.6128,
["reseni"] = {
["float"] = 271.7196969697,
["objekt"] = {
["hodnota"] = {
["citatel"] = 35867,
["jmenovatel"] = 132 },
["render"] = "\\frac{35867}{132}",
["typ"] = "cislo" },
["tex"] = "271\\frac{95}{132}",
["x"] = 271,
["y"] = 95,
["z"] = 132 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-11 - (-7)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-11 - (-7))^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "14 - 1\\frac{2}{8}",
["typ"] = "minus" },
["render"] = "(-11 - (-7))^4 + 14 - 1\\frac{2}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "-11 + 4\\frac{4}{11}",
["typ"] = "plus" },
["render"] = "(-11 + 4\\frac{4}{11})",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{9} - (-11 + 4\\frac{4}{11})",
["typ"] = "minus" },
["render"] = "-8 + 4\\frac{3}{9} - (-11 + 4\\frac{4}{11})",
["typ"] = "plus" },
["render"] = "(-11 - (-7))^4 + 14 - 1\\frac{2}{8} + (-8 + 4\\frac{3}{9} - (-11 + 4\\frac{4}{11}))",
["typ"] = "plus" } }
seed: jUl38SecKie0VXtF4zsE_0.92, bodu=213, $$2\frac{4}{6} + 7 + 1\frac{5}{9} - (-13) - (4\frac{4}{7} - 2\frac{2}{6} + 3 + 20)=\textcolor{white}{-1\frac{1}{63}}$$return {
["body"] = 213,
["id"] = "CI6MIf_0211_1341",
["obtiznost"] = 1.72,
["reseni"] = {
["float"] = -1.015873015873,
["objekt"] = {
["hodnota"] = {
["citatel"] = -64,
["jmenovatel"] = 63 },
["render"] = "\\frac{-192}{189}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1}{63}",
["x"] = -1,
["y"] = 1,
["z"] = 63 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.92",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "7 + 1\\frac{5}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "7 + 1\\frac{5}{9} - (-13)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{7} - 2\\frac{2}{6}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "3 + 20",
["typ"] = "plus" },
["render"] = "4\\frac{4}{7} - 2\\frac{2}{6} + 3 + 20",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{7} - 2\\frac{2}{6} + 3 + 20)",
["typ"] = "zavorka" },
["render"] = "7 + 1\\frac{5}{9} - (-13) - (4\\frac{4}{7} - 2\\frac{2}{6} + 3 + 20)",
["typ"] = "minus" },
["render"] = "2\\frac{4}{6} + 7 + 1\\frac{5}{9} - (-13) - (4\\frac{4}{7} - 2\\frac{2}{6} + 3 + 20)",
["typ"] = "plus" } }
seed: jUl38SecKie0VXtF4zsE_0.93, bodu=148, $$4\frac{3}{9} \cdot 3\frac{2}{9} \cdot (-21 + (-10 \cdot 13 + 9))=\textcolor{white}{-1982\frac{20}{27}}$$return {
["body"] = 148,
["id"] = "Yrl5t1_0211_1341",
["obtiznost"] = 1.33,
["reseni"] = {
["float"] = -1982.7407407407,
["objekt"] = {
["hodnota"] = {
["citatel"] = -53534,
["jmenovatel"] = 27 },
["render"] = "\\frac{-53534}{27}",
["typ"] = "cislo" },
["tex"] = "-1982\\frac{20}{27}",
["x"] = -1982,
["y"] = 20,
["z"] = 27 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} \\cdot 3\\frac{2}{9}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 13 + 9",
["typ"] = "plus" },
["render"] = "-21 + (-10 \\cdot 13 + 9)",
["typ"] = "plus" },
["render"] = "(-21 + (-10 \\cdot 13 + 9))",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{9} \\cdot 3\\frac{2}{9} \\cdot (-21 + (-10 \\cdot 13 + 9))",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.94, bodu=149, $$\frac{17 - 25 \cdot 1\frac{1}{3} + \frac{1\frac{1}{9}}{15}}{18}=\textcolor{white}{-\frac{439}{486}}$$return {
["body"] = 149,
["id"] = "2p0XAP_0211_1341",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = -0.90329218106996,
["objekt"] = {
["hodnota"] = {
["citatel"] = -439,
["jmenovatel"] = 486 },
["render"] = "\\frac{-439}{486}",
["typ"] = "cislo" },
["tex"] = "-\\frac{439}{486}",
["y"] = -439,
["z"] = 486 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 1 },
["render"] = "25",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "25 \\cdot 1\\frac{1}{3}",
["typ"] = "krat" },
["render"] = "17 - 25 \\cdot 1\\frac{1}{3}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{9}}{15}",
["typ"] = "lomeno" },
["render"] = "17 - 25 \\cdot 1\\frac{1}{3} + \\frac{1\\frac{1}{9}}{15}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{17 - 25 \\cdot 1\\frac{1}{3} + \\frac{1\\frac{1}{9}}{15}}{18}",
["typ"] = "lomeno" } }
seed: jUl38SecKie0VXtF4zsE_0.95, bodu=218, $$\frac{\frac{1\frac{1}{8}}{2\frac{5}{17} + (-18)}}{\frac{3\frac{1}{10} \cdot -15}{3\frac{4}{9}}}=\textcolor{white}{\frac{17}{3204}}$$return {
["body"] = 218,
["id"] = "4lXGPj_0211_1341",
["obtiznost"] = 1.75,
["reseni"] = {
["float"] = 0.0053058676654182,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 3204 },
["render"] = "\\frac{-102}{-19224}",
["typ"] = "cislo" },
["tex"] = "\\frac{17}{3204}",
["y"] = 17,
["z"] = 3204 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 39,
["jmenovatel"] = 17 },
["render"] = "2\\frac{5}{17}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{17} + (-18)",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{1}{8}}{2\\frac{5}{17} + (-18)}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 10 },
["render"] = "3\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{10} \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{10} \\cdot -15}{3\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{1\\frac{1}{8}}{2\\frac{5}{17} + (-18)}}{\\frac{3\\frac{1}{10} \\cdot -15}{3\\frac{4}{9}}}",
["typ"] = "lomeno" } }
seed: jUl38SecKie0VXtF4zsE_0.96, bodu=220, $$1\frac{2}{8} \cdot 1\frac{4}{10} \cdot 17 \cdot 2\frac{3}{11} \cdot 1\frac{5}{12}=\textcolor{white}{95\frac{415}{528}}$$return {
["body"] = 220,
["id"] = "mX4RUR_0211_1341",
["obtiznost"] = 1.76,
["reseni"] = {
["float"] = 95.785984848485,
["objekt"] = {
["hodnota"] = {
["citatel"] = 50575,
["jmenovatel"] = 528 },
["render"] = "\\frac{50575}{528}",
["typ"] = "cislo" },
["tex"] = "95\\frac{415}{528}",
["x"] = 95,
["y"] = 415,
["z"] = 528 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.96",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{10} \\cdot 17",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{11} \\cdot 1\\frac{5}{12}",
["typ"] = "krat" },
["render"] = "1\\frac{4}{10} \\cdot 17 \\cdot 2\\frac{3}{11} \\cdot 1\\frac{5}{12}",
["typ"] = "krat" },
["render"] = "1\\frac{2}{8} \\cdot 1\\frac{4}{10} \\cdot 17 \\cdot 2\\frac{3}{11} \\cdot 1\\frac{5}{12}",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.97, bodu=180, $$\frac{-19}{-11 + 7} \cdot \frac{3\frac{5}{11}}{(15 - (-15))^2}=\textcolor{white}{\frac{361}{19800}}$$return {
["body"] = 180,
["id"] = "bOpdUT_0211_1341",
["obtiznost"] = 1.5304,
["reseni"] = {
["float"] = 0.018232323232323,
["objekt"] = {
["hodnota"] = {
["citatel"] = 361,
["jmenovatel"] = 19800 },
["render"] = "\\frac{361}{19800}",
["typ"] = "cislo" },
["tex"] = "\\frac{361}{19800}",
["y"] = 361,
["z"] = 19800 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-11 + 7",
["typ"] = "plus" },
["render"] = "\\frac{-19}{-11 + 7}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "15 - (-15)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(15 - (-15))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{3\\frac{5}{11}}{(15 - (-15))^2}",
["typ"] = "lomeno" },
["render"] = "\\frac{-19}{-11 + 7} \\cdot \\frac{3\\frac{5}{11}}{(15 - (-15))^2}",
["typ"] = "krat" } }
seed: jUl38SecKie0VXtF4zsE_0.98, bodu=228, $$\frac{\frac{4\frac{3}{13}}{(17 - 9)^2} \cdot 2\frac{4}{13}}{4\frac{3}{7} - 4\frac{4}{5}}=\textcolor{white}{-\frac{28875}{70304}}$$return {
["body"] = 228,
["id"] = "pECuLA_0211_1341",
["obtiznost"] = 1.806,
["reseni"] = {
["float"] = -0.41071631770596,
["objekt"] = {
["hodnota"] = {
["citatel"] = -28875,
["jmenovatel"] = 70304 },
["render"] = "\\frac{28875}{-70304}",
["typ"] = "cislo" },
["tex"] = "-\\frac{28875}{70304}",
["y"] = -28875,
["z"] = 70304 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 55,
["jmenovatel"] = 13 },
["render"] = "4\\frac{3}{13}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "17 - 9",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(17 - 9)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{4\\frac{3}{13}}{(17 - 9)^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 13 },
["render"] = "2\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{13}}{(17 - 9)^2} \\cdot 2\\frac{4}{13}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} - 4\\frac{4}{5}",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{4\\frac{3}{13}}{(17 - 9)^2} \\cdot 2\\frac{4}{13}}{4\\frac{3}{7} - 4\\frac{4}{5}}",
["typ"] = "lomeno" } }
seed: jUl38SecKie0VXtF4zsE_0.99, bodu=225, $$3\frac{3}{9} - (-13) - 3\frac{5}{9} - \frac{17 - 1\frac{2}{7}}{2\frac{5}{12}}=\textcolor{white}{6\frac{503}{1827}}$$return {
["body"] = 225,
["id"] = "PXtSKi_0211_1341",
["obtiznost"] = 1.79,
["reseni"] = {
["float"] = 6.2753147235906,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11465,
["jmenovatel"] = 1827 },
["render"] = "\\frac{11465}{1827}",
["typ"] = "cislo" },
["tex"] = "6\\frac{503}{1827}",
["x"] = 6,
["y"] = 503,
["z"] = 1827 },
["seed"] = "jUl38SecKie0VXtF4zsE_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{9} - (-13)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{9} - (-13) - 3\\frac{5}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "17 - 1\\frac{2}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{17 - 1\\frac{2}{7}}{2\\frac{5}{12}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{3}{9} - (-13) - 3\\frac{5}{9} - \\frac{17 - 1\\frac{2}{7}}{2\\frac{5}{12}}",
["typ"] = "minus" } }
13-ecstatic-dog-gifs_a-cupcake.webp:
1YQJ.gif:
1aj.gif:
200w.gif:
2l8dhkg.gif:
5ba.gif:
AS001921_15.gif:
Anime-dancegfhjd_o_826631.gif:
EmbarrassedCoolCanvasback-size_restricted.gif:
GIF-Dancing-celebrate-celebration-dance-Ecstatic-happy-happy-dance-joy-success-woo-hoo-GIF.gif:
Lucky-star-good-job-o.gif:
SpanishForcefulfsdgIcelandicsheepdog-max-1mb.gif:
Toothless_ecstatic_claps.gif:
UJrA.gif:
VEKsdfggfd0.gif:
anime-cegfdhhhlebration-gif-9.gif:
anime-celefdghdfgfbration-gif-13.gif:
aph1.gif:
apollon_by_kokorokeke-dbykcqz.gif:
asduaiod.gif:
asfdouip.gif:
b8bf8658dd216b2ec14a1b9a27123f20.gif:
boosdfgsmlebron.gif:
bounce1.gif:
celebrattrertyte.gif:
crazy-celebrdfgation.gif:
db2e5c45e2cabf7a2540bd6257889599.gif:
dddaftenor.gif:
dribble_good_arabic.gif:
ecstatic-gif-4.gif:
ecstatic-gif-8.gif:
ecstatic.gif:
eid-celebrationfdgh-around-the-world-photos.gif:
f8f99505ebbf8c2de07aee9405607e92.gif:
fa8e0dcaa2cac4d78bf0062922ec75d2c8c69893_hq.gif:
ghjwryxbnvcfgetiphy.gif:
gigdsfddsphy.gif:
gigdsfghwephy.gif:
giphdfghdhay.gif:
giphfsdafsy.gif:
giphwetwereuy.gif:
giphyasdfafsd-325.gif:
gsfdgiphy.gif:
gsgsdghfgsdfhkiphy.gif:
happy_animation_by_strawberrycrescent-d9qi27u.gif:
happy_bearded_mustached_jack_running_and_jumping_game_character.gif:
harrypotter-snape-clapping.gif:
hsk.gif:
idafstyiuyosdf.gif:
imageproxy.gif.5b7d7be152c7d2ff29acdc13dabb2ebd.gif:
jocelyn_ecstatic__animated__by_tsnow-d7kwtd6.gif:
joyyy.gif:
nahodny_obrazek1.gif:
nahodny_obrazek2.gif:
poehler.gif:
popas.gif:
source.gif:
tedfghdfghnor.gif:
tefwretjhwnor.gif:
tenfgfgdor.gif:
tenfghfghdhor.gif:
tenodfghdfghhhr.gif:
tenohhsfffr.gif:
tettt.gif:
thumbs-up-matt-leblanc.gif:
tumblr_m2p6z8jG7z1qfmf4ko1_400.gif:
tumblr_m5464bwVFv1qihztbo1_400.gif:
tumblr_o9lpv7EqCG1udh5n8o1_500.gif:
tumblr_okscz3AtvD1vmh648o1_400.gif:
untitled-1.gif:
vUn8eIh.gif:
well-done-jennifer-anniston-clap-applause-2.gif: