- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: MHzpexhwBOLi6nd71Ylv_0, bodu=21, $$\frac{(7 - 2)^4}{4} - 4=\textcolor{white}{152{,}25}$$return {
["body"] = 21,
["id"] = "ZgVS6s_0705_2019",
["obtiznost"] = 0.2504,
["reseni"] = {
["float"] = 152.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 609,
["jmenovatel"] = 4 },
["render"] = "\\frac{609}{4}",
["typ"] = "cislo" },
["tex"] = "152\\frac{1}{4}",
["tex_float"] = "152{,}25",
["x"] = 152,
["y"] = 1,
["z"] = 4 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "7 - 2",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(7 - 2)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{(7 - 2)^4}{4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{(7 - 2)^4}{4} - 4",
["typ"] = "minus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.01, bodu=10, $$(\frac{6}{6} + (-7))^2 \cdot 5=\textcolor{white}{180}$$return {
["body"] = 10,
["id"] = "idhBH5_0705_2019",
["obtiznost"] = 0.0248,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 180,
["jmenovatel"] = 1 },
["render"] = "\\frac{180}{1}",
["typ"] = "cislo" },
["tex"] = "180",
["x"] = 180 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.01",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{6}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{6}{6} + (-7)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(\\frac{6}{6} + (-7))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(\\frac{6}{6} + (-7))^2 \\cdot 5",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.02, bodu=10, $$\frac{5 + (-7 + 4)^2}{5}=\textcolor{white}{2{,}8}$$return {
["body"] = 10,
["id"] = "rrIxAV_0705_2019",
["obtiznost"] = 0.024,
["reseni"] = {
["float"] = 2.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 5 },
["render"] = "\\frac{14}{5}",
["typ"] = "cislo" },
["tex"] = "2\\frac{4}{5}",
["tex_float"] = "2{,}8",
["x"] = 2,
["y"] = 4,
["z"] = 5 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-7 + 4",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-7 + 4)^2",
["typ"] = "mocnina" },
["render"] = "5 + (-7 + 4)^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{5 + (-7 + 4)^2}{5}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.03, bodu=10, $$\frac{-6 \cdot -9}{7}=\textcolor{white}{7\frac{5}{7}}$$return {
["body"] = 10,
["id"] = "dPoymf_0705_2019",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = 7.7142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 54,
["jmenovatel"] = 7 },
["render"] = "\\frac{54}{7}",
["typ"] = "cislo" },
["tex"] = "7\\frac{5}{7}",
["x"] = 7,
["y"] = 5,
["z"] = 7 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-6 \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-6 \\cdot -9}{7}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.04, bodu=6, $$(6 + (-11))^3 - (-5 \cdot 8)=\textcolor{white}{-85}$$return {
["body"] = 6,
["id"] = "u7VWIc_0705_2019",
["obtiznost"] = 0.0904,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -85,
["jmenovatel"] = 1 },
["render"] = "\\frac{-85}{1}",
["typ"] = "cislo" },
["tex"] = "-85",
["tex_float"] = "-85",
["x"] = -85 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.04",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "6 + (-11)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(6 + (-11))^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 8",
["typ"] = "krat" },
["render"] = "(6 + (-11))^3 - (-5 \\cdot 8)",
["typ"] = "minus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.05, bodu=5, $$7 - 7 - 9 \cdot -9=\textcolor{white}{81}$$return {
["body"] = 5,
["id"] = "8f2xBI_0705_2019",
["obtiznost"] = 0.05,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 1 },
["render"] = "\\frac{81}{1}",
["typ"] = "cislo" },
["tex"] = "81",
["tex_float"] = "81",
["x"] = 81 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 - 7",
["typ"] = "minus" },
["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"] = "7 - 7 - 9 \\cdot -9",
["typ"] = "minus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.06, bodu=26, $$4\frac{5}{8} \cdot \frac{(7 + 5)^2}{-6}=\textcolor{white}{-111}$$return {
["body"] = 26,
["id"] = "xO7doI_0705_2019",
["obtiznost"] = 0.318,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -111,
["jmenovatel"] = 1 },
["render"] = "\\frac{-888}{8}",
["typ"] = "cislo" },
["tex"] = "-111",
["x"] = -111 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.06",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 + 5",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(7 + 5)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{(7 + 5)^2}{-6}",
["typ"] = "lomeno" },
["render"] = "4\\frac{5}{8} \\cdot \\frac{(7 + 5)^2}{-6}",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.07, bodu=12, $$(\frac{-5}{7})^2 \cdot 4=\textcolor{white}{2\frac{2}{49}}$$return {
["body"] = 12,
["id"] = "mKOvkD_0705_2019",
["obtiznost"] = 0.0996,
["reseni"] = {
["float"] = 2.0408163265306,
["objekt"] = {
["hodnota"] = {
["citatel"] = 100,
["jmenovatel"] = 49 },
["render"] = "\\frac{100}{49}",
["typ"] = "cislo" },
["tex"] = "2\\frac{2}{49}",
["x"] = 2,
["y"] = 2,
["z"] = 49 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.07",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-5}{7})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(\\frac{-5}{7})^2 \\cdot 4",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.08, bodu=12, $$\frac{(\frac{6}{3})^2}{8}=\textcolor{white}{0{,}5}$$return {
["body"] = 12,
["id"] = "JUvHIs_0705_2019",
["obtiznost"] = 0.082,
["reseni"] = {
["float"] = 0.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 2 },
["render"] = "\\frac{4}{8}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{2}",
["tex_float"] = "0{,}5",
["y"] = 1,
["z"] = 2 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.08",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{6}{3}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{6}{3})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{6}{3})^2}{8}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.09, bodu=6, $$(10 - 9)^4 - (7 + (-7))=\textcolor{white}{1}$$return {
["body"] = 6,
["id"] = "zKYnKC_0705_2019",
["obtiznost"] = 0.0908,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 1 },
["render"] = "\\frac{1}{1}",
["typ"] = "cislo" },
["tex"] = "1",
["tex_float"] = "1",
["x"] = 1 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.09",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 - 9",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(10 - 9)^4",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["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" },
["render"] = "(7 + (-7))",
["typ"] = "zavorka" },
["render"] = "(10 - 9)^4 - (7 + (-7))",
["typ"] = "minus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.1, bodu=12, $$(\frac{-3}{3})^3 - 5 + 9=\textcolor{white}{3}$$return {
["body"] = 12,
["id"] = "AT0dkK_0705_2019",
["obtiznost"] = 0.1008,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "\\frac{3}{1}",
["typ"] = "cislo" },
["tex"] = "3",
["tex_float"] = "3",
["x"] = 3 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{3}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-3}{3})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(\\frac{-3}{3})^3 - 5",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(\\frac{-3}{3})^3 - 5 + 9",
["typ"] = "plus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.11, bodu=42, $$\frac{1\frac{5}{9} + 2\frac{1}{3} - 4}{10}=\textcolor{white}{-\frac{1}{90}}$$return {
["body"] = 42,
["id"] = "k8OqAX_0705_2019",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = -0.011111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 90 },
["render"] = "\\frac{-1}{90}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{90}",
["y"] = -1,
["z"] = 90 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.11",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} + 2\\frac{1}{3}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} + 2\\frac{1}{3} - 4",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{9} + 2\\frac{1}{3} - 4}{10}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.12, bodu=13, $$\frac{4}{\frac{9}{4}}=\textcolor{white}{1\frac{7}{9}}$$return {
["body"] = 13,
["id"] = "m2AGpp_0705_2019",
["obtiznost"] = 0.12,
["reseni"] = {
["float"] = 1.7777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 9 },
["render"] = "\\frac{16}{9}",
["typ"] = "cislo" },
["tex"] = "1\\frac{7}{9}",
["x"] = 1,
["y"] = 7,
["z"] = 9 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.12",
["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"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{9}{4}",
["typ"] = "lomeno" },
["render"] = "\\frac{4}{\\frac{9}{4}}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.13, bodu=7, $$(4 + 4) \cdot (7 + 7)=\textcolor{white}{112}$$return {
["body"] = 7,
["id"] = "tvhWKY_0705_2019",
["obtiznost"] = 0.13,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 112,
["jmenovatel"] = 1 },
["render"] = "\\frac{112}{1}",
["typ"] = "cislo" },
["tex"] = "112",
["x"] = 112 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.13",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "4 + 4",
["typ"] = "plus" },
["render"] = "(4 + 4)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["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" },
["render"] = "(7 + 7)",
["typ"] = "zavorka" },
["render"] = "(4 + 4) \\cdot (7 + 7)",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.14, bodu=15, $$(6 - 1\frac{5}{5})^2 + 4 \cdot -11=\textcolor{white}{-28}$$return {
["body"] = 15,
["id"] = "9is9iv_0705_2019",
["obtiznost"] = 0.1468,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -28,
["jmenovatel"] = 1 },
["render"] = "\\frac{-28}{1}",
["typ"] = "cislo" },
["tex"] = "-28",
["x"] = -28 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.14",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "1\\frac{5}{5}",
["typ"] = "cislo" },
["render"] = "6 - 1\\frac{5}{5}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(6 - 1\\frac{5}{5})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4 \\cdot -11",
["typ"] = "krat" },
["render"] = "(6 - 1\\frac{5}{5})^2 + 4 \\cdot -11",
["typ"] = "plus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.15, bodu=7, $$11 \cdot (5 + 6) - 9=\textcolor{white}{112}$$return {
["body"] = 7,
["id"] = "LypCn8_0705_2019",
["obtiznost"] = 0.15,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 112,
["jmenovatel"] = 1 },
["render"] = "\\frac{112}{1}",
["typ"] = "cislo" },
["tex"] = "112",
["tex_float"] = "112",
["x"] = 112 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "5 + 6",
["typ"] = "plus" },
["render"] = "(5 + 6)",
["typ"] = "zavorka" },
["render"] = "11 \\cdot (5 + 6)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "11 \\cdot (5 + 6) - 9",
["typ"] = "minus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.16, bodu=29, $$\frac{11}{\frac{1\frac{1}{5}}{9}}=\textcolor{white}{82{,}5}$$return {
["body"] = 29,
["id"] = "Ggluhf_0705_2019",
["obtiznost"] = 0.36,
["reseni"] = {
["float"] = 82.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 165,
["jmenovatel"] = 2 },
["render"] = "\\frac{165}{2}",
["typ"] = "cislo" },
["tex"] = "82\\frac{1}{2}",
["tex_float"] = "82{,}5",
["x"] = 82,
["y"] = 1,
["z"] = 2 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.16",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{5}}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{11}{\\frac{1\\frac{1}{5}}{9}}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.17, bodu=16, $$\frac{5}{8 \cdot 6}=\textcolor{white}{\frac{5}{48}}$$return {
["body"] = 16,
["id"] = "Xlc7bY_0705_2019",
["obtiznost"] = 0.17,
["reseni"] = {
["float"] = 0.10416666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 48 },
["render"] = "\\frac{5}{48}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{48}",
["y"] = 5,
["z"] = 48 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.17",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{5}{8 \\cdot 6}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.18, bodu=8, $$(5 - (11 + 7) + 6) \cdot -10=\textcolor{white}{70}$$return {
["body"] = 8,
["id"] = "738SLy_0705_2019",
["obtiznost"] = 0.18,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 70,
["jmenovatel"] = 1 },
["render"] = "\\frac{70}{1}",
["typ"] = "cislo" },
["tex"] = "70",
["x"] = 70 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.18",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "11 + 7",
["typ"] = "plus" },
["render"] = "(11 + 7)",
["typ"] = "zavorka" },
["render"] = "5 - (11 + 7)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "5 - (11 + 7) + 6",
["typ"] = "plus" },
["render"] = "(5 - (11 + 7) + 6)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(5 - (11 + 7) + 6) \\cdot -10",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.19, bodu=31, $$4\frac{3}{5} \cdot -12 \cdot (8 + 8)=\textcolor{white}{-883{,}2}$$return {
["body"] = 31,
["id"] = "m8EEbt_0705_2019",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = -883.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4416,
["jmenovatel"] = 5 },
["render"] = "\\frac{-4416}{5}",
["typ"] = "cislo" },
["tex"] = "-883\\frac{1}{5}",
["tex_float"] = "-883{,}2",
["x"] = -883,
["y"] = 1,
["z"] = 5 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 + 8",
["typ"] = "plus" },
["render"] = "(8 + 8)",
["typ"] = "zavorka" },
["render"] = "-12 \\cdot (8 + 8)",
["typ"] = "krat" },
["render"] = "4\\frac{3}{5} \\cdot -12 \\cdot (8 + 8)",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.2, bodu=18, $$-10 + \frac{\frac{8}{7}}{-14}=\textcolor{white}{-10\frac{4}{49}}$$return {
["body"] = 18,
["id"] = "hxEImu_0705_2019",
["obtiznost"] = 0.2,
["reseni"] = {
["float"] = -10.081632653061,
["objekt"] = {
["hodnota"] = {
["citatel"] = -494,
["jmenovatel"] = 49 },
["render"] = "\\frac{-494}{49}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{4}{49}",
["x"] = -10,
["y"] = 4,
["z"] = 49 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.2",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{8}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{8}{7}}{-14}",
["typ"] = "lomeno" },
["render"] = "-10 + \\frac{\\frac{8}{7}}{-14}",
["typ"] = "plus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.21, bodu=52, $$\frac{4\frac{4}{6} \cdot -10 \cdot 5}{2\frac{4}{7}}=\textcolor{white}{-90\frac{20}{27}}$$return {
["body"] = 52,
["id"] = "5kt4RM_0705_2019",
["obtiznost"] = 0.61,
["reseni"] = {
["float"] = -90.740740740741,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2450,
["jmenovatel"] = 27 },
["render"] = "\\frac{-4900}{54}",
["typ"] = "cislo" },
["tex"] = "-90\\frac{20}{27}",
["x"] = -90,
["y"] = 20,
["z"] = 27 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 5",
["typ"] = "krat" },
["render"] = "4\\frac{4}{6} \\cdot -10 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{6} \\cdot -10 \\cdot 5}{2\\frac{4}{7}}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.22, bodu=34, $$\frac{4 \cdot 8 + 3\frac{4}{8}}{11}=\textcolor{white}{3\frac{5}{22}}$$return {
["body"] = 34,
["id"] = "9TemTC_0705_2019",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = 3.2272727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = 71,
["jmenovatel"] = 22 },
["render"] = "\\frac{71}{22}",
["typ"] = "cislo" },
["tex"] = "3\\frac{5}{22}",
["x"] = 3,
["y"] = 5,
["z"] = 22 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "4 \\cdot 8 + 3\\frac{4}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{4 \\cdot 8 + 3\\frac{4}{8}}{11}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.23, bodu=19, $$\frac{10 - 10 \cdot 7}{5}=\textcolor{white}{-12}$$return {
["body"] = 19,
["id"] = "H0pnNv_0705_2019",
["obtiznost"] = 0.23,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "\\frac{-60}{5}",
["typ"] = "cislo" },
["tex"] = "-12",
["x"] = -12 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 \\cdot 7",
["typ"] = "krat" },
["render"] = "10 - 10 \\cdot 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{10 - 10 \\cdot 7}{5}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.24, bodu=56, $$-8 - (2\frac{5}{10} + 3\frac{2}{6}) \cdot (7 - 9)=\textcolor{white}{3\frac{2}{3}}$$return {
["body"] = 56,
["id"] = "Btbswi_0705_2019",
["obtiznost"] = 0.64,
["reseni"] = {
["float"] = 3.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "\\frac{11}{3}",
["typ"] = "cislo" },
["tex"] = "3\\frac{2}{3}",
["x"] = 3,
["y"] = 2,
["z"] = 3 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.24",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} + 3\\frac{2}{6}",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{10} + 3\\frac{2}{6})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 - 9",
["typ"] = "minus" },
["render"] = "(7 - 9)",
["typ"] = "zavorka" },
["render"] = "(2\\frac{5}{10} + 3\\frac{2}{6}) \\cdot (7 - 9)",
["typ"] = "krat" },
["render"] = "-8 - (2\\frac{5}{10} + 3\\frac{2}{6}) \\cdot (7 - 9)",
["typ"] = "minus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.25, bodu=37, $$2\frac{2}{6} - 6 - 7 \cdot 9=\textcolor{white}{-66\frac{2}{3}}$$return {
["body"] = 37,
["id"] = "FyvTPC_0705_2019",
["obtiznost"] = 0.45,
["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"] = "MHzpexhwBOLi6nd71Ylv_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{6} - 6",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 \\cdot 9",
["typ"] = "krat" },
["render"] = "2\\frac{2}{6} - 6 - 7 \\cdot 9",
["typ"] = "minus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.26, bodu=10, $$4 - (9 \cdot -9 - (-10))=\textcolor{white}{75}$$return {
["body"] = 10,
["id"] = "VIEuJw_0705_2019",
["obtiznost"] = 0.26,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 75,
["jmenovatel"] = 1 },
["render"] = "\\frac{75}{1}",
["typ"] = "cislo" },
["tex"] = "75",
["tex_float"] = "75",
["x"] = 75 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.26",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "9 \\cdot -9 - (-10)",
["typ"] = "minus" },
["render"] = "(9 \\cdot -9 - (-10))",
["typ"] = "zavorka" },
["render"] = "4 - (9 \\cdot -9 - (-10))",
["typ"] = "minus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.27, bodu=63, $$\frac{4\frac{3}{4}}{4\frac{1}{3}} \cdot (-11 - (-3 + 6)^4)=\textcolor{white}{-100\frac{11}{13}}$$return {
["body"] = 63,
["id"] = "0hX80e_0705_2019",
["obtiznost"] = 0.7028,
["reseni"] = {
["float"] = -100.84615384615,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1311,
["jmenovatel"] = 13 },
["render"] = "\\frac{-5244}{52}",
["typ"] = "cislo" },
["tex"] = "-100\\frac{11}{13}",
["x"] = -100,
["y"] = 11,
["z"] = 13 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{4}}{4\\frac{1}{3}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-3 + 6",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-3 + 6)^4",
["typ"] = "mocnina" },
["render"] = "-11 - (-3 + 6)^4",
["typ"] = "minus" },
["render"] = "(-11 - (-3 + 6)^4)",
["typ"] = "zavorka" },
["render"] = "\\frac{4\\frac{3}{4}}{4\\frac{1}{3}} \\cdot (-11 - (-3 + 6)^4)",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.28, bodu=23, $$\frac{8}{-10 \cdot 5 \cdot 6}=\textcolor{white}{-\frac{2}{75}}$$return {
["body"] = 23,
["id"] = "9RrT7y_0705_2019",
["obtiznost"] = 0.28,
["reseni"] = {
["float"] = -0.026666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 75 },
["render"] = "\\frac{8}{-300}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2}{75}",
["y"] = -2,
["z"] = 75 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.28",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "5 \\cdot 6",
["typ"] = "krat" },
["render"] = "-10 \\cdot 5 \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{8}{-10 \\cdot 5 \\cdot 6}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.29, bodu=24, $$6 - \frac{9 \cdot 6}{6}=\textcolor{white}{-3}$$return {
["body"] = 24,
["id"] = "HvSRlo_0705_2019",
["obtiznost"] = 0.29,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "\\frac{-3}{1}",
["typ"] = "cislo" },
["tex"] = "-3",
["x"] = -3 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.29",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "9 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{9 \\cdot 6}{6}",
["typ"] = "lomeno" },
["render"] = "6 - \\frac{9 \\cdot 6}{6}",
["typ"] = "minus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.3, bodu=24, $$\frac{10 - 10 \cdot 6}{-10 + 12}=\textcolor{white}{-25}$$return {
["body"] = 24,
["id"] = "NI1Gm8_0705_2019",
["obtiznost"] = 0.3,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -25,
["jmenovatel"] = 1 },
["render"] = "\\frac{-50}{2}",
["typ"] = "cislo" },
["tex"] = "-25",
["tex_float"] = "-25",
["x"] = -25 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "10 \\cdot 6",
["typ"] = "krat" },
["render"] = "10 - 10 \\cdot 6",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-10 + 12",
["typ"] = "plus" },
["render"] = "\\frac{10 - 10 \\cdot 6}{-10 + 12}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.31, bodu=12, $$10 - (-10) + (-13 + (6 - 5)^3)=\textcolor{white}{8}$$return {
["body"] = 12,
["id"] = "Ufe3nW_0705_2019",
["obtiznost"] = 0.3108,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "\\frac{8}{1}",
["typ"] = "cislo" },
["tex"] = "8",
["tex_float"] = "8",
["x"] = 8 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "10 - (-10)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 - 5",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(6 - 5)^3",
["typ"] = "mocnina" },
["render"] = "-13 + (6 - 5)^3",
["typ"] = "plus" },
["render"] = "10 - (-10) + (-13 + (6 - 5)^3)",
["typ"] = "plus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.32, bodu=43, $$(1\frac{2}{7} - 7 - 6) \cdot (9 + 8)=\textcolor{white}{-199\frac{1}{7}}$$return {
["body"] = 43,
["id"] = "NoeHwy_0705_2019",
["obtiznost"] = 0.52,
["reseni"] = {
["float"] = -199.14285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1394,
["jmenovatel"] = 7 },
["render"] = "\\frac{-1394}{7}",
["typ"] = "cislo" },
["tex"] = "-199\\frac{1}{7}",
["x"] = -199,
["y"] = 1,
["z"] = 7 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.32",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{7} - 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{7} - 7 - 6",
["typ"] = "minus" },
["render"] = "(1\\frac{2}{7} - 7 - 6)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 + 8",
["typ"] = "plus" },
["render"] = "(9 + 8)",
["typ"] = "zavorka" },
["render"] = "(1\\frac{2}{7} - 7 - 6) \\cdot (9 + 8)",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.33, bodu=19, $$-9 \cdot (-5 - (-10 + 3)^3 \cdot 13)=\textcolor{white}{-40086}$$return {
["body"] = 19,
["id"] = "4sPcpa_0705_2019",
["obtiznost"] = 0.4676,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -40086,
["jmenovatel"] = 1 },
["render"] = "\\frac{-40086}{1}",
["typ"] = "cislo" },
["tex"] = "-40086",
["tex_float"] = "-40086",
["x"] = -40086 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-10 + 3",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-10 + 3)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(-10 + 3)^3 \\cdot 13",
["typ"] = "krat" },
["render"] = "-5 - (-10 + 3)^3 \\cdot 13",
["typ"] = "minus" },
["render"] = "(-5 - (-10 + 3)^3 \\cdot 13)",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (-5 - (-10 + 3)^3 \\cdot 13)",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.34, bodu=45, $$\frac{-14}{9 \cdot 3\frac{2}{7}} + 5=\textcolor{white}{4\frac{109}{207}}$$return {
["body"] = 45,
["id"] = "Dh9QeZ_0705_2019",
["obtiznost"] = 0.54,
["reseni"] = {
["float"] = 4.5265700483092,
["objekt"] = {
["hodnota"] = {
["citatel"] = 937,
["jmenovatel"] = 207 },
["render"] = "\\frac{937}{207}",
["typ"] = "cislo" },
["tex"] = "4\\frac{109}{207}",
["x"] = 4,
["y"] = 109,
["z"] = 207 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 3\\frac{2}{7}",
["typ"] = "krat" },
["render"] = "\\frac{-14}{9 \\cdot 3\\frac{2}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{9 \\cdot 3\\frac{2}{7}} + 5",
["typ"] = "plus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.35, bodu=68, $$(10 - (2\frac{1}{5} - (-11)) + 12) \cdot 2\frac{2}{5}=\textcolor{white}{21{,}12}$$return {
["body"] = 68,
["id"] = "CMzudf_0705_2019",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = 21.12,
["objekt"] = {
["hodnota"] = {
["citatel"] = 528,
["jmenovatel"] = 25 },
["render"] = "\\frac{528}{25}",
["typ"] = "cislo" },
["tex"] = "21\\frac{3}{25}",
["tex_float"] = "21{,}12",
["x"] = 21,
["y"] = 3,
["z"] = 25 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.35",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} - (-11)",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{5} - (-11))",
["typ"] = "zavorka" },
["render"] = "10 - (2\\frac{1}{5} - (-11))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "10 - (2\\frac{1}{5} - (-11)) + 12",
["typ"] = "plus" },
["render"] = "(10 - (2\\frac{1}{5} - (-11)) + 12)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "(10 - (2\\frac{1}{5} - (-11)) + 12) \\cdot 2\\frac{2}{5}",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.36, bodu=14, $$10 \cdot (11 - 5 - 7)^4=\textcolor{white}{10}$$return {
["body"] = 14,
["id"] = "x0W0Nh_0705_2019",
["obtiznost"] = 0.3608,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "\\frac{10}{1}",
["typ"] = "cislo" },
["tex"] = "10",
["x"] = 10 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.36",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "11 - 5 - 7",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(11 - 5 - 7)^4",
["typ"] = "mocnina" },
["render"] = "10 \\cdot (11 - 5 - 7)^4",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.37, bodu=64, $$9 \cdot (11 - (\frac{-5}{9})^3)=\textcolor{white}{100\frac{44}{81}}$$return {
["body"] = 64,
["id"] = "MwZkG8_0705_2019",
["obtiznost"] = 0.7116,
["reseni"] = {
["float"] = 100.54320987654,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8144,
["jmenovatel"] = 81 },
["render"] = "\\frac{73296}{729}",
["typ"] = "cislo" },
["tex"] = "100\\frac{44}{81}",
["x"] = 100,
["y"] = 44,
["z"] = 81 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.37",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(\\frac{-5}{9})^3",
["typ"] = "mocnina" },
["render"] = "11 - (\\frac{-5}{9})^3",
["typ"] = "minus" },
["render"] = "(11 - (\\frac{-5}{9})^3)",
["typ"] = "zavorka" },
["render"] = "9 \\cdot (11 - (\\frac{-5}{9})^3)",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.38, bodu=49, $$-12 - 3\frac{1}{6} + 14 \cdot 11 + 3=\textcolor{white}{141\frac{5}{6}}$$return {
["body"] = 49,
["id"] = "lxRC9C_0705_2019",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = 141.83333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 851,
["jmenovatel"] = 6 },
["render"] = "\\frac{851}{6}",
["typ"] = "cislo" },
["tex"] = "141\\frac{5}{6}",
["x"] = 141,
["y"] = 5,
["z"] = 6 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-12 - 3\\frac{1}{6}",
["typ"] = "minus" },
["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"] = "-12 - 3\\frac{1}{6} + 14 \\cdot 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-12 - 3\\frac{1}{6} + 14 \\cdot 11 + 3",
["typ"] = "plus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.39, bodu=98, $$\frac{2\frac{5}{8} + 7}{2\frac{2}{8} - (9 - 1\frac{3}{4})}=\textcolor{white}{-1{,}925}$$return {
["body"] = 98,
["id"] = "ql1696_0705_2019",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = -1.925,
["objekt"] = {
["hodnota"] = {
["citatel"] = -77,
["jmenovatel"] = 40 },
["render"] = "\\frac{77}{-40}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{37}{40}",
["tex_float"] = "-1{,}925",
["x"] = -1,
["y"] = 37,
["z"] = 40 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{8} + 7",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "9 - 1\\frac{3}{4}",
["typ"] = "minus" },
["render"] = "(9 - 1\\frac{3}{4})",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{8} - (9 - 1\\frac{3}{4})",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{5}{8} + 7}{2\\frac{2}{8} - (9 - 1\\frac{3}{4})}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.4, bodu=74, $$17 + 3\frac{3}{8} - 4\frac{2}{6} \cdot 11 \cdot 13=\textcolor{white}{-599\frac{7}{24}}$$return {
["body"] = 74,
["id"] = "b6lJcf_0705_2019",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = -599.29166666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -14383,
["jmenovatel"] = 24 },
["render"] = "\\frac{-14383}{24}",
["typ"] = "cislo" },
["tex"] = "-599\\frac{7}{24}",
["x"] = -599,
["y"] = 7,
["z"] = 24 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.4",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "11 \\cdot 13",
["typ"] = "krat" },
["render"] = "4\\frac{2}{6} \\cdot 11 \\cdot 13",
["typ"] = "krat" },
["render"] = "3\\frac{3}{8} - 4\\frac{2}{6} \\cdot 11 \\cdot 13",
["typ"] = "minus" },
["render"] = "17 + 3\\frac{3}{8} - 4\\frac{2}{6} \\cdot 11 \\cdot 13",
["typ"] = "plus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.41, bodu=35, $$((15 - 11)^3 + 5 + 10) \cdot \frac{-8}{-15}=\textcolor{white}{42\frac{2}{15}}$$return {
["body"] = 35,
["id"] = "g9XcVN_0705_2019",
["obtiznost"] = 0.436,
["reseni"] = {
["float"] = 42.133333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 632,
["jmenovatel"] = 15 },
["render"] = "\\frac{632}{15}",
["typ"] = "cislo" },
["tex"] = "42\\frac{2}{15}",
["x"] = 42,
["y"] = 2,
["z"] = 15 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.41",
["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"] = "minus" },
["mocnitel"] = 3,
["render"] = "(15 - 11)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "5 + 10",
["typ"] = "plus" },
["render"] = "(15 - 11)^3 + 5 + 10",
["typ"] = "plus" },
["render"] = "((15 - 11)^3 + 5 + 10)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-15}",
["typ"] = "lomeno" },
["render"] = "((15 - 11)^3 + 5 + 10) \\cdot \\frac{-8}{-15}",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.42, bodu=53, $$10 \cdot (13 - (-8)) \cdot (-8 - 3\frac{2}{7})=\textcolor{white}{-2370}$$return {
["body"] = 53,
["id"] = "NL39GQ_0705_2019",
["obtiznost"] = 0.62,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -2370,
["jmenovatel"] = 1 },
["render"] = "\\frac{-16590}{7}",
["typ"] = "cislo" },
["tex"] = "-2370",
["tex_float"] = "-2370",
["x"] = -2370 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "13 - (-8)",
["typ"] = "minus" },
["render"] = "(13 - (-8))",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (13 - (-8))",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-8 - 3\\frac{2}{7}",
["typ"] = "minus" },
["render"] = "(-8 - 3\\frac{2}{7})",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (13 - (-8)) \\cdot (-8 - 3\\frac{2}{7})",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.43, bodu=35, $$\frac{\frac{5}{-15 \cdot -15}}{12 + 13}=\textcolor{white}{\frac{1}{1125}}$$return {
["body"] = 35,
["id"] = "5af6cR_0705_2019",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = 0.00088888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 1125 },
["render"] = "\\frac{1}{1125}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{1125}",
["y"] = 1,
["z"] = 1125 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["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"] = "\\frac{5}{-15 \\cdot -15}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "12 + 13",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{5}{-15 \\cdot -15}}{12 + 13}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.44, bodu=79, $$-4 \cdot 1\frac{2}{10} \cdot \frac{2\frac{1}{4}}{-6}=\textcolor{white}{1{,}8}$$return {
["body"] = 79,
["id"] = "DEh0dl_0705_2019",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = 1.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 5 },
["render"] = "\\frac{72}{40}",
["typ"] = "cislo" },
["tex"] = "1\\frac{4}{5}",
["tex_float"] = "1{,}8",
["x"] = 1,
["y"] = 4,
["z"] = 5 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "-4 \\cdot 1\\frac{2}{10}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{4}}{-6}",
["typ"] = "lomeno" },
["render"] = "-4 \\cdot 1\\frac{2}{10} \\cdot \\frac{2\\frac{1}{4}}{-6}",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.45, bodu=37, $$\frac{7}{16 \cdot -7} \cdot -9=\textcolor{white}{\frac{9}{16}}$$return {
["body"] = 37,
["id"] = "4ZLQAv_0705_2019",
["obtiznost"] = 0.45,
["reseni"] = {
["float"] = 0.5625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 16 },
["render"] = "\\frac{9}{16}",
["typ"] = "cislo" },
["tex"] = "\\frac{9}{16}",
["y"] = 9,
["z"] = 16 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "16 \\cdot -7",
["typ"] = "krat" },
["render"] = "\\frac{7}{16 \\cdot -7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{7}{16 \\cdot -7} \\cdot -9",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.46, bodu=108, $$3\frac{5}{8} - 6 \cdot \frac{-15}{2\frac{4}{6}} + 2\frac{3}{8}=\textcolor{white}{39{,}75}$$return {
["body"] = 108,
["id"] = "zX8OS0_0705_2019",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = 39.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 159,
["jmenovatel"] = 4 },
["render"] = "\\frac{318}{8}",
["typ"] = "cislo" },
["tex"] = "39\\frac{3}{4}",
["tex_float"] = "39{,}75",
["x"] = 39,
["y"] = 3,
["z"] = 4 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{2\\frac{4}{6}}",
["typ"] = "lomeno" },
["render"] = "6 \\cdot \\frac{-15}{2\\frac{4}{6}}",
["typ"] = "krat" },
["render"] = "3\\frac{5}{8} - 6 \\cdot \\frac{-15}{2\\frac{4}{6}}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{8} - 6 \\cdot \\frac{-15}{2\\frac{4}{6}} + 2\\frac{3}{8}",
["typ"] = "plus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.47, bodu=83, $$\frac{\frac{9 + 4\frac{1}{5}}{5 - 8}}{10 + 2\frac{1}{4}}=\textcolor{white}{-\frac{88}{245}}$$return {
["body"] = 83,
["id"] = "muRQwa_0705_2019",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = -0.35918367346939,
["objekt"] = {
["hodnota"] = {
["citatel"] = -88,
["jmenovatel"] = 245 },
["render"] = "\\frac{-88}{245}",
["typ"] = "cislo" },
["tex"] = "-\\frac{88}{245}",
["y"] = -88,
["z"] = 245 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "9 + 4\\frac{1}{5}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 - 8",
["typ"] = "minus" },
["render"] = "\\frac{9 + 4\\frac{1}{5}}{5 - 8}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "10 + 2\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{9 + 4\\frac{1}{5}}{5 - 8}}{10 + 2\\frac{1}{4}}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.48, bodu=60, $$(8 + 9) \cdot (-14 + \frac{12}{3\frac{2}{9}} - 10)=\textcolor{white}{-344\frac{20}{29}}$$return {
["body"] = 60,
["id"] = "zjm64Z_0705_2019",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = -344.68965517241,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9996,
["jmenovatel"] = 29 },
["render"] = "\\frac{-9996}{29}",
["typ"] = "cislo" },
["tex"] = "-344\\frac{20}{29}",
["x"] = -344,
["y"] = 20,
["z"] = 29 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.48",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 + 9",
["typ"] = "plus" },
["render"] = "(8 + 9)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{3\\frac{2}{9}}",
["typ"] = "lomeno" },
["render"] = "-14 + \\frac{12}{3\\frac{2}{9}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-14 + \\frac{12}{3\\frac{2}{9}} - 10",
["typ"] = "minus" },
["render"] = "(-14 + \\frac{12}{3\\frac{2}{9}} - 10)",
["typ"] = "zavorka" },
["render"] = "(8 + 9) \\cdot (-14 + \\frac{12}{3\\frac{2}{9}} - 10)",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.49, bodu=44, $$(\frac{-9}{(8 - 8)^3 + 1})^2 \cdot (-13 - 11)=\textcolor{white}{-1944}$$return {
["body"] = 44,
["id"] = "PPVA1U_0705_2019",
["obtiznost"] = 0.5232,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1944,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1944}{1}",
["typ"] = "cislo" },
["tex"] = "-1944",
["tex_float"] = "-1944",
["x"] = -1944 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.49",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 - 8",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(8 - 8)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 1 },
["render"] = "1",
["typ"] = "cislo" },
["render"] = "(8 - 8)^3 + 1",
["typ"] = "plus" },
["render"] = "\\frac{-9}{(8 - 8)^3 + 1}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-9}{(8 - 8)^3 + 1})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-13 - 11",
["typ"] = "minus" },
["render"] = "(-13 - 11)",
["typ"] = "zavorka" },
["render"] = "(\\frac{-9}{(8 - 8)^3 + 1})^2 \\cdot (-13 - 11)",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.5, bodu=113, $$2\frac{2}{5} - (3\frac{4}{9} \cdot (2\frac{4}{8} - 9) - 5)=\textcolor{white}{29\frac{71}{90}}$$return {
["body"] = 113,
["id"] = "UsYWLT_0705_2019",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = 29.788888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2681,
["jmenovatel"] = 90 },
["render"] = "\\frac{2681}{90}",
["typ"] = "cislo" },
["tex"] = "29\\frac{71}{90}",
["x"] = 29,
["y"] = 71,
["z"] = 90 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.5",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{8} - 9",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{8} - 9)",
["typ"] = "zavorka" },
["render"] = "3\\frac{4}{9} \\cdot (2\\frac{4}{8} - 9)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{9} \\cdot (2\\frac{4}{8} - 9) - 5",
["typ"] = "minus" },
["render"] = "(3\\frac{4}{9} \\cdot (2\\frac{4}{8} - 9) - 5)",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{5} - (3\\frac{4}{9} \\cdot (2\\frac{4}{8} - 9) - 5)",
["typ"] = "minus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.51, bodu=115, $$4\frac{2}{7} \cdot 1\frac{1}{3} \cdot (-13 - 9) \cdot 3\frac{2}{6}=\textcolor{white}{-419\frac{1}{21}}$$return {
["body"] = 115,
["id"] = "VQCUWp_0705_2019",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = -419.04761904762,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8800,
["jmenovatel"] = 21 },
["render"] = "\\frac{-8800}{21}",
["typ"] = "cislo" },
["tex"] = "-419\\frac{1}{21}",
["x"] = -419,
["y"] = 1,
["z"] = 21 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{7} \\cdot 1\\frac{1}{3}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-13 - 9",
["typ"] = "minus" },
["render"] = "(-13 - 9)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "(-13 - 9) \\cdot 3\\frac{2}{6}",
["typ"] = "krat" },
["render"] = "4\\frac{2}{7} \\cdot 1\\frac{1}{3} \\cdot (-13 - 9) \\cdot 3\\frac{2}{6}",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.52, bodu=89, $$(15 - 3\frac{4}{7} - (-8)) \cdot 11 \cdot 2\frac{4}{6}=\textcolor{white}{569\frac{19}{21}}$$return {
["body"] = 89,
["id"] = "Xsxbyw_0705_2019",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = 569.90476190476,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11968,
["jmenovatel"] = 21 },
["render"] = "\\frac{11968}{21}",
["typ"] = "cislo" },
["tex"] = "569\\frac{19}{21}",
["x"] = 569,
["y"] = 19,
["z"] = 21 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "15 - 3\\frac{4}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "15 - 3\\frac{4}{7} - (-8)",
["typ"] = "minus" },
["render"] = "(15 - 3\\frac{4}{7} - (-8))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(15 - 3\\frac{4}{7} - (-8)) \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "(15 - 3\\frac{4}{7} - (-8)) \\cdot 11 \\cdot 2\\frac{4}{6}",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.53, bodu=91, $$2\frac{2}{4} - 1\frac{2}{7} - (8 + (-6))^4 \cdot -18=\textcolor{white}{289\frac{3}{14}}$$return {
["body"] = 91,
["id"] = "DzgpNp_0705_2019",
["obtiznost"] = 0.9368,
["reseni"] = {
["float"] = 289.21428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4049,
["jmenovatel"] = 14 },
["render"] = "\\frac{4049}{14}",
["typ"] = "cislo" },
["tex"] = "289\\frac{3}{14}",
["x"] = 289,
["y"] = 3,
["z"] = 14 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} - 1\\frac{2}{7}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "8 + (-6)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(8 + (-6))^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "(8 + (-6))^4 \\cdot -18",
["typ"] = "krat" },
["render"] = "2\\frac{2}{4} - 1\\frac{2}{7} - (8 + (-6))^4 \\cdot -18",
["typ"] = "minus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.54, bodu=67, $$10 \cdot (1\frac{3}{10} + 13) + 8 \cdot 10=\textcolor{white}{223}$$return {
["body"] = 67,
["id"] = "6hekBi_0705_2019",
["obtiznost"] = 0.74,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 223,
["jmenovatel"] = 1 },
["render"] = "\\frac{223}{1}",
["typ"] = "cislo" },
["tex"] = "223",
["x"] = 223 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{10} + 13",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{10} + 13)",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (1\\frac{3}{10} + 13)",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 \\cdot 10",
["typ"] = "krat" },
["render"] = "10 \\cdot (1\\frac{3}{10} + 13) + 8 \\cdot 10",
["typ"] = "plus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.55, bodu=68, $$(\frac{16}{-10} \cdot 4\frac{5}{8} + (-13)) \cdot -15=\textcolor{white}{306}$$return {
["body"] = 68,
["id"] = "eWyeS7_0705_2019",
["obtiznost"] = 0.75,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 306,
["jmenovatel"] = 1 },
["render"] = "\\frac{1530}{5}",
["typ"] = "cislo" },
["tex"] = "306",
["x"] = 306 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.55",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{16}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{16}{-10} \\cdot 4\\frac{5}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{16}{-10} \\cdot 4\\frac{5}{8} + (-13)",
["typ"] = "plus" },
["render"] = "(\\frac{16}{-10} \\cdot 4\\frac{5}{8} + (-13))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "(\\frac{16}{-10} \\cdot 4\\frac{5}{8} + (-13)) \\cdot -15",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.56, bodu=94, $$2\frac{2}{7} + (-11 - (-7 \cdot 6 - 4\frac{5}{12}))=\textcolor{white}{37\frac{59}{84}}$$return {
["body"] = 94,
["id"] = "1SxPDl_0705_2019",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = 37.702380952381,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3167,
["jmenovatel"] = 84 },
["render"] = "\\frac{3167}{84}",
["typ"] = "cislo" },
["tex"] = "37\\frac{59}{84}",
["x"] = 37,
["y"] = 59,
["z"] = 84 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.56",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["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"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 6 - 4\\frac{5}{12}",
["typ"] = "minus" },
["render"] = "(-7 \\cdot 6 - 4\\frac{5}{12})",
["typ"] = "zavorka" },
["render"] = "-11 - (-7 \\cdot 6 - 4\\frac{5}{12})",
["typ"] = "minus" },
["render"] = "2\\frac{2}{7} + (-11 - (-7 \\cdot 6 - 4\\frac{5}{12}))",
["typ"] = "plus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.57, bodu=95, $$4\frac{5}{10} - (16 \cdot (-9 - 2\frac{4}{11}) + (-10) + (-15))=\textcolor{white}{211\frac{7}{22}}$$return {
["body"] = 95,
["id"] = "6BWcfA_0705_2019",
["obtiznost"] = 0.97,
["reseni"] = {
["float"] = 211.31818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4649,
["jmenovatel"] = 22 },
["render"] = "\\frac{4649}{22}",
["typ"] = "cislo" },
["tex"] = "211\\frac{7}{22}",
["x"] = 211,
["y"] = 7,
["z"] = 22 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.57",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "-9 - 2\\frac{4}{11}",
["typ"] = "minus" },
["render"] = "(-9 - 2\\frac{4}{11})",
["typ"] = "zavorka" },
["render"] = "16 \\cdot (-9 - 2\\frac{4}{11})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "16 \\cdot (-9 - 2\\frac{4}{11}) + (-10)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "16 \\cdot (-9 - 2\\frac{4}{11}) + (-10) + (-15)",
["typ"] = "plus" },
["render"] = "(16 \\cdot (-9 - 2\\frac{4}{11}) + (-10) + (-15))",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{10} - (16 \\cdot (-9 - 2\\frac{4}{11}) + (-10) + (-15))",
["typ"] = "minus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.58, bodu=139, $$(1\frac{3}{5} - 1\frac{2}{6})^2 \cdot \frac{1\frac{2}{7} - 9}{10}=\textcolor{white}{-\frac{48}{875}}$$return {
["body"] = 139,
["id"] = "HBpjku_0705_2019",
["obtiznost"] = 1.2764,
["reseni"] = {
["float"] = -0.054857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -48,
["jmenovatel"] = 875 },
["render"] = "\\frac{-432}{7875}",
["typ"] = "cislo" },
["tex"] = "-\\frac{48}{875}",
["y"] = -48,
["z"] = 875 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.58",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{5} - 1\\frac{2}{6}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{3}{5} - 1\\frac{2}{6})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{7} - 9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{7} - 9}{10}",
["typ"] = "lomeno" },
["render"] = "(1\\frac{3}{5} - 1\\frac{2}{6})^2 \\cdot \\frac{1\\frac{2}{7} - 9}{10}",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.59, bodu=98, $$-8 - (4\frac{1}{8} - (-7 \cdot 8) + 1\frac{4}{8} + 11)=\textcolor{white}{-80{,}625}$$return {
["body"] = 98,
["id"] = "imSyQo_0705_2019",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = -80.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -645,
["jmenovatel"] = 8 },
["render"] = "\\frac{-645}{8}",
["typ"] = "cislo" },
["tex"] = "-80\\frac{5}{8}",
["tex_float"] = "-80{,}625",
["x"] = -80,
["y"] = 5,
["z"] = 8 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.59",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 8",
["typ"] = "krat" },
["render"] = "4\\frac{1}{8} - (-7 \\cdot 8)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} + 11",
["typ"] = "plus" },
["render"] = "4\\frac{1}{8} - (-7 \\cdot 8) + 1\\frac{4}{8} + 11",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{8} - (-7 \\cdot 8) + 1\\frac{4}{8} + 11)",
["typ"] = "zavorka" },
["render"] = "-8 - (4\\frac{1}{8} - (-7 \\cdot 8) + 1\\frac{4}{8} + 11)",
["typ"] = "minus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.6, bodu=100, $$\frac{\frac{-11}{(2\frac{2}{9} + 4\frac{1}{10}) \cdot 14}}{7}=\textcolor{white}{-\frac{495}{27881}}$$return {
["body"] = 100,
["id"] = "0YuQ5A_0705_2019",
["obtiznost"] = 1,
["reseni"] = {
["float"] = -0.017754026039238,
["objekt"] = {
["hodnota"] = {
["citatel"] = -495,
["jmenovatel"] = 27881 },
["render"] = "\\frac{-495}{27881}",
["typ"] = "cislo" },
["tex"] = "-\\frac{495}{27881}",
["y"] = -495,
["z"] = 27881 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 10 },
["render"] = "4\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} + 4\\frac{1}{10}",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{9} + 4\\frac{1}{10})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "(2\\frac{2}{9} + 4\\frac{1}{10}) \\cdot 14",
["typ"] = "krat" },
["render"] = "\\frac{-11}{(2\\frac{2}{9} + 4\\frac{1}{10}) \\cdot 14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-11}{(2\\frac{2}{9} + 4\\frac{1}{10}) \\cdot 14}}{7}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.61, bodu=121, $$-9 \cdot -8 \cdot -5 \cdot (-6 - 1\frac{2}{8})^2=\textcolor{white}{-18922{,}5}$$return {
["body"] = 121,
["id"] = "IxbGMk_0705_2019",
["obtiznost"] = 1.1528,
["reseni"] = {
["float"] = -18922.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -37845,
["jmenovatel"] = 2 },
["render"] = "\\frac{-37845}{2}",
["typ"] = "cislo" },
["tex"] = "-18922\\frac{1}{2}",
["tex_float"] = "-18922{,}5",
["x"] = -18922,
["y"] = 1,
["z"] = 2 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.61",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -5",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "-6 - 1\\frac{2}{8}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-6 - 1\\frac{2}{8})^2",
["typ"] = "mocnina" },
["render"] = "-8 \\cdot -5 \\cdot (-6 - 1\\frac{2}{8})^2",
["typ"] = "krat" },
["render"] = "-9 \\cdot -8 \\cdot -5 \\cdot (-6 - 1\\frac{2}{8})^2",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.62, bodu=63, $$\frac{12}{16 \cdot \frac{8}{(17 - 11)^3}}=\textcolor{white}{20{,}25}$$return {
["body"] = 63,
["id"] = "BxPLkJ_0705_2019",
["obtiznost"] = 0.7068,
["reseni"] = {
["float"] = 20.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 4 },
["render"] = "\\frac{324}{16}",
["typ"] = "cislo" },
["tex"] = "20\\frac{1}{4}",
["tex_float"] = "20{,}25",
["x"] = 20,
["y"] = 1,
["z"] = 4 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.62",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "17 - 11",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(17 - 11)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{8}{(17 - 11)^3}",
["typ"] = "lomeno" },
["render"] = "16 \\cdot \\frac{8}{(17 - 11)^3}",
["typ"] = "krat" },
["render"] = "\\frac{12}{16 \\cdot \\frac{8}{(17 - 11)^3}}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.63, bodu=163, $$\frac{9 + 2\frac{4}{9} - (-14) - 1\frac{4}{8} - (4\frac{5}{7} + 1\frac{4}{12})}{8}=\textcolor{white}{2\frac{239}{1008}}$$return {
["body"] = 163,
["id"] = "Swhu0H_0705_2019",
["obtiznost"] = 1.43,
["reseni"] = {
["float"] = 2.2371031746032,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2255,
["jmenovatel"] = 1008 },
["render"] = "\\frac{2255}{1008}",
["typ"] = "cislo" },
["tex"] = "2\\frac{239}{1008}",
["x"] = 2,
["y"] = 239,
["z"] = 1008 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} - (-14)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} - (-14) - 1\\frac{4}{8}",
["typ"] = "minus" },
["render"] = "9 + 2\\frac{4}{9} - (-14) - 1\\frac{4}{8}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{7} + 1\\frac{4}{12}",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{7} + 1\\frac{4}{12})",
["typ"] = "zavorka" },
["render"] = "9 + 2\\frac{4}{9} - (-14) - 1\\frac{4}{8} - (4\\frac{5}{7} + 1\\frac{4}{12})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{9 + 2\\frac{4}{9} - (-14) - 1\\frac{4}{8} - (4\\frac{5}{7} + 1\\frac{4}{12})}{8}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.64, bodu=79, $$-2 \cdot 13 \cdot \frac{-17}{-8} \cdot 1\frac{1}{5}=\textcolor{white}{-66{,}3}$$return {
["body"] = 79,
["id"] = "UmxfiM_0705_2019",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = -66.3,
["objekt"] = {
["hodnota"] = {
["citatel"] = -663,
["jmenovatel"] = 10 },
["render"] = "\\frac{-1326}{20}",
["typ"] = "cislo" },
["tex"] = "-66\\frac{3}{10}",
["tex_float"] = "-66{,}3",
["x"] = -66,
["y"] = 3,
["z"] = 10 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-2 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{-8}",
["typ"] = "lomeno" },
["render"] = "-2 \\cdot 13 \\cdot \\frac{-17}{-8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-2 \\cdot 13 \\cdot \\frac{-17}{-8} \\cdot 1\\frac{1}{5}",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.65, bodu=107, $$-14 \cdot \frac{(\frac{8}{-13})^2}{(\frac{-9}{4\frac{2}{10}})^2}=\textcolor{white}{-1\frac{5879}{38025}}$$return {
["body"] = 107,
["id"] = "31d4rp_0705_2019",
["obtiznost"] = 1.0528,
["reseni"] = {
["float"] = -1.1546088099934,
["objekt"] = {
["hodnota"] = {
["citatel"] = -43904,
["jmenovatel"] = 38025 },
["render"] = "\\frac{-43904}{38025}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{5879}{38025}",
["x"] = -1,
["y"] = 5879,
["z"] = 38025 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.65",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-13}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8}{-13})^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{4\\frac{2}{10}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-9}{4\\frac{2}{10}})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{(\\frac{8}{-13})^2}{(\\frac{-9}{4\\frac{2}{10}})^2}",
["typ"] = "lomeno" },
["render"] = "-14 \\cdot \\frac{(\\frac{8}{-13})^2}{(\\frac{-9}{4\\frac{2}{10}})^2}",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.66, bodu=60, $$13 \cdot 17 \cdot \frac{(-17 + 10)^2 - (-4)}{8}=\textcolor{white}{1464{,}125}$$return {
["body"] = 60,
["id"] = "sFhisc_0705_2019",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = 1464.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11713,
["jmenovatel"] = 8 },
["render"] = "\\frac{11713}{8}",
["typ"] = "cislo" },
["tex"] = "1464\\frac{1}{8}",
["tex_float"] = "1464{,}125",
["x"] = 1464,
["y"] = 1,
["z"] = 8 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "13 \\cdot 17",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-17 + 10",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-17 + 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "(-17 + 10)^2 - (-4)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{(-17 + 10)^2 - (-4)}{8}",
["typ"] = "lomeno" },
["render"] = "13 \\cdot 17 \\cdot \\frac{(-17 + 10)^2 - (-4)}{8}",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.67, bodu=109, $$13 - \frac{-15}{2\frac{5}{12}} + 2\frac{5}{11} - (-11) - 8=\textcolor{white}{24\frac{211}{319}}$$return {
["body"] = 109,
["id"] = "h6zEis_0705_2019",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = 24.66144200627,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7867,
["jmenovatel"] = 319 },
["render"] = "\\frac{7867}{319}",
["typ"] = "cislo" },
["tex"] = "24\\frac{211}{319}",
["x"] = 24,
["y"] = 211,
["z"] = 319 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{2\\frac{5}{12}}",
["typ"] = "lomeno" },
["render"] = "13 - \\frac{-15}{2\\frac{5}{12}}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} - (-11)",
["typ"] = "minus" },
["render"] = "13 - \\frac{-15}{2\\frac{5}{12}} + 2\\frac{5}{11} - (-11)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "13 - \\frac{-15}{2\\frac{5}{12}} + 2\\frac{5}{11} - (-11) - 8",
["typ"] = "minus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.68, bodu=111, $$4\frac{3}{6} + (-16) - \frac{3\frac{3}{10} \cdot (8 + 16)}{15}=\textcolor{white}{-16{,}78}$$return {
["body"] = 111,
["id"] = "VOEvYq_0705_2019",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = -16.78,
["objekt"] = {
["hodnota"] = {
["citatel"] = -839,
["jmenovatel"] = 50 },
["render"] = "\\frac{-839}{50}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{39}{50}",
["tex_float"] = "-16{,}78",
["x"] = -16,
["y"] = 39,
["z"] = 50 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{6} + (-16)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "8 + 16",
["typ"] = "plus" },
["render"] = "(8 + 16)",
["typ"] = "zavorka" },
["render"] = "3\\frac{3}{10} \\cdot (8 + 16)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{10} \\cdot (8 + 16)}{15}",
["typ"] = "lomeno" },
["render"] = "4\\frac{3}{6} + (-16) - \\frac{3\\frac{3}{10} \\cdot (8 + 16)}{15}",
["typ"] = "minus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.69, bodu=141, $$\frac{-13 + (-3)}{5} + 3\frac{2}{10} - 3\frac{2}{7} - 3\frac{3}{5}=\textcolor{white}{-6\frac{31}{35}}$$return {
["body"] = 141,
["id"] = "EM58hJ_0705_2019",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = -6.8857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -241,
["jmenovatel"] = 35 },
["render"] = "\\frac{-241}{35}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{31}{35}",
["x"] = -6,
["y"] = 31,
["z"] = 35 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "-13 + (-3)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-13 + (-3)}{5}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{10} - 3\\frac{2}{7}",
["typ"] = "minus" },
["render"] = "\\frac{-13 + (-3)}{5} + 3\\frac{2}{10} - 3\\frac{2}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-13 + (-3)}{5} + 3\\frac{2}{10} - 3\\frac{2}{7} - 3\\frac{3}{5}",
["typ"] = "minus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.7, bodu=113, $$\frac{19 + 16 - 2\frac{2}{3}}{11 \cdot 9 \cdot 3\frac{4}{6}}=\textcolor{white}{\frac{97}{1089}}$$return {
["body"] = 113,
["id"] = "1JN7mc_0705_2019",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = 0.089072543617998,
["objekt"] = {
["hodnota"] = {
["citatel"] = 97,
["jmenovatel"] = 1089 },
["render"] = "\\frac{97}{1089}",
["typ"] = "cislo" },
["tex"] = "\\frac{97}{1089}",
["y"] = 97,
["z"] = 1089 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "19 + 16 - 2\\frac{2}{3}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "11 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 9 \\cdot 3\\frac{4}{6}",
["typ"] = "krat" },
["render"] = "\\frac{19 + 16 - 2\\frac{2}{3}}{11 \\cdot 9 \\cdot 3\\frac{4}{6}}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.71, bodu=88, $$\frac{-10 - 2\frac{3}{4} \cdot 10}{-9 \cdot 4\frac{4}{4} + (-10)}=\textcolor{white}{\frac{15}{22}}$$return {
["body"] = 88,
["id"] = "AXsMsl_0705_2019",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = 0.68181818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 22 },
["render"] = "\\frac{-75}{-110}",
["typ"] = "cislo" },
["tex"] = "\\frac{15}{22}",
["y"] = 15,
["z"] = 22 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{4} \\cdot 10",
["typ"] = "krat" },
["render"] = "-10 - 2\\frac{3}{4} \\cdot 10",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "4\\frac{4}{4}",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 4\\frac{4}{4}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 4\\frac{4}{4} + (-10)",
["typ"] = "plus" },
["render"] = "\\frac{-10 - 2\\frac{3}{4} \\cdot 10}{-9 \\cdot 4\\frac{4}{4} + (-10)}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.72, bodu=117, $$-11 + (-12 - 3\frac{2}{9} + 2\frac{3}{4}) \cdot (13 + (-11))^4 - 16=\textcolor{white}{-226\frac{5}{9}}$$return {
["body"] = 117,
["id"] = "KMdLAs_0705_2019",
["obtiznost"] = 1.1268,
["reseni"] = {
["float"] = -226.55555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2039,
["jmenovatel"] = 9 },
["render"] = "\\frac{-2039}{9}",
["typ"] = "cislo" },
["tex"] = "-226\\frac{5}{9}",
["x"] = -226,
["y"] = 5,
["z"] = 9 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "-12 - 3\\frac{2}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "-12 - 3\\frac{2}{9} + 2\\frac{3}{4}",
["typ"] = "plus" },
["render"] = "(-12 - 3\\frac{2}{9} + 2\\frac{3}{4})",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "13 + (-11)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(13 + (-11))^4",
["typ"] = "mocnina" },
["render"] = "(-12 - 3\\frac{2}{9} + 2\\frac{3}{4}) \\cdot (13 + (-11))^4",
["typ"] = "krat" },
["render"] = "-11 + (-12 - 3\\frac{2}{9} + 2\\frac{3}{4}) \\cdot (13 + (-11))^4",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-11 + (-12 - 3\\frac{2}{9} + 2\\frac{3}{4}) \\cdot (13 + (-11))^4 - 16",
["typ"] = "minus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.73, bodu=90, $$\frac{12}{\frac{13}{(\frac{-12 + 12}{13})^4 - 1\frac{3}{8}}}=\textcolor{white}{-1\frac{7}{26}}$$return {
["body"] = 90,
["id"] = "o1JYcB_0705_2019",
["obtiznost"] = 0.9304,
["reseni"] = {
["float"] = -1.2692307692308,
["objekt"] = {
["hodnota"] = {
["citatel"] = -33,
["jmenovatel"] = 26 },
["render"] = "\\frac{132}{-104}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{7}{26}",
["x"] = -1,
["y"] = 7,
["z"] = 26 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.73",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-12 + 12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-12 + 12}{13}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-12 + 12}{13})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "(\\frac{-12 + 12}{13})^4 - 1\\frac{3}{8}",
["typ"] = "minus" },
["render"] = "\\frac{13}{(\\frac{-12 + 12}{13})^4 - 1\\frac{3}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{12}{\\frac{13}{(\\frac{-12 + 12}{13})^4 - 1\\frac{3}{8}}}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.74, bodu=119, $$3\frac{4}{9} - 16 - (2\frac{1}{6} + (-20 \cdot -19 \cdot 11))=\textcolor{white}{-4194\frac{13}{18}}$$return {
["body"] = 119,
["id"] = "VZ3to3_0705_2019",
["obtiznost"] = 1.14,
["reseni"] = {
["float"] = -4194.7222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -75505,
["jmenovatel"] = 18 },
["render"] = "\\frac{-226515}{54}",
["typ"] = "cislo" },
["tex"] = "-4194\\frac{13}{18}",
["x"] = -4194,
["y"] = 13,
["z"] = 18 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{9} - 16",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "-20 \\cdot -19",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-20 \\cdot -19 \\cdot 11",
["typ"] = "krat" },
["render"] = "2\\frac{1}{6} + (-20 \\cdot -19 \\cdot 11)",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{6} + (-20 \\cdot -19 \\cdot 11))",
["typ"] = "zavorka" },
["render"] = "3\\frac{4}{9} - 16 - (2\\frac{1}{6} + (-20 \\cdot -19 \\cdot 11))",
["typ"] = "minus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.75, bodu=151, $$\frac{-8}{3\frac{5}{13}} \cdot (-18 - 1\frac{5}{10}) \cdot 3\frac{2}{5}=\textcolor{white}{156\frac{39}{55}}$$return {
["body"] = 151,
["id"] = "mvgRPb_0705_2019",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = 156.70909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8619,
["jmenovatel"] = 55 },
["render"] = "\\frac{8619}{55}",
["typ"] = "cislo" },
["tex"] = "156\\frac{39}{55}",
["x"] = 156,
["y"] = 39,
["z"] = 55 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 13 },
["render"] = "3\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{3\\frac{5}{13}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-18 - 1\\frac{5}{10}",
["typ"] = "minus" },
["render"] = "(-18 - 1\\frac{5}{10})",
["typ"] = "zavorka" },
["render"] = "\\frac{-8}{3\\frac{5}{13}} \\cdot (-18 - 1\\frac{5}{10})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{3\\frac{5}{13}} \\cdot (-18 - 1\\frac{5}{10}) \\cdot 3\\frac{2}{5}",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.76, bodu=122, $$(12 + \frac{3\frac{1}{9} + 4\frac{2}{3}}{11}) \cdot (-4 + 12 - 16)=\textcolor{white}{-101\frac{65}{99}}$$return {
["body"] = 122,
["id"] = "pEhhLv_0705_2019",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = -101.65656565657,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10064,
["jmenovatel"] = 99 },
["render"] = "\\frac{-10064}{99}",
["typ"] = "cislo" },
["tex"] = "-101\\frac{65}{99}",
["x"] = -101,
["y"] = 65,
["z"] = 99 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.76",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{9} + 4\\frac{2}{3}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{9} + 4\\frac{2}{3}}{11}",
["typ"] = "lomeno" },
["render"] = "12 + \\frac{3\\frac{1}{9} + 4\\frac{2}{3}}{11}",
["typ"] = "plus" },
["render"] = "(12 + \\frac{3\\frac{1}{9} + 4\\frac{2}{3}}{11})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "12 - 16",
["typ"] = "minus" },
["render"] = "-4 + 12 - 16",
["typ"] = "plus" },
["render"] = "(-4 + 12 - 16)",
["typ"] = "zavorka" },
["render"] = "(12 + \\frac{3\\frac{1}{9} + 4\\frac{2}{3}}{11}) \\cdot (-4 + 12 - 16)",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.77, bodu=123, $$\frac{17}{-5 \cdot 3\frac{2}{9}} + 2\frac{1}{2} - 8 + 7=\textcolor{white}{\frac{129}{290}}$$return {
["body"] = 123,
["id"] = "PiDwPN_0705_2019",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = 0.4448275862069,
["objekt"] = {
["hodnota"] = {
["citatel"] = 129,
["jmenovatel"] = 290 },
["render"] = "\\frac{129}{290}",
["typ"] = "cislo" },
["tex"] = "\\frac{129}{290}",
["y"] = 129,
["z"] = 290 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 3\\frac{2}{9}",
["typ"] = "krat" },
["render"] = "\\frac{17}{-5 \\cdot 3\\frac{2}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{2} - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{2} - 8 + 7",
["typ"] = "plus" },
["render"] = "\\frac{17}{-5 \\cdot 3\\frac{2}{9}} + 2\\frac{1}{2} - 8 + 7",
["typ"] = "plus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.78, bodu=125, $$3\frac{1}{5} + \frac{14}{-16 \cdot (3\frac{1}{7} + (-10))} - 10=\textcolor{white}{-6\frac{1291}{1920}}$$return {
["body"] = 125,
["id"] = "5Qta16_0705_2019",
["obtiznost"] = 1.18,
["reseni"] = {
["float"] = -6.6723958333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -12811,
["jmenovatel"] = 1920 },
["render"] = "\\frac{-12811}{1920}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{1291}{1920}",
["x"] = -6,
["y"] = 1291,
["z"] = 1920 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.78",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{7} + (-10)",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{7} + (-10))",
["typ"] = "zavorka" },
["render"] = "-16 \\cdot (3\\frac{1}{7} + (-10))",
["typ"] = "krat" },
["render"] = "\\frac{14}{-16 \\cdot (3\\frac{1}{7} + (-10))}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{14}{-16 \\cdot (3\\frac{1}{7} + (-10))} - 10",
["typ"] = "minus" },
["render"] = "3\\frac{1}{5} + \\frac{14}{-16 \\cdot (3\\frac{1}{7} + (-10))} - 10",
["typ"] = "plus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.79, bodu=126, $$\frac{12}{-14 \cdot 2\frac{5}{13}} + \frac{-8}{4\frac{2}{5}}=\textcolor{white}{-2\frac{424}{2387}}$$return {
["body"] = 126,
["id"] = "cSVJuc_0705_2019",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = -2.1776288227901,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5198,
["jmenovatel"] = 2387 },
["render"] = "\\frac{-5198}{2387}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{424}{2387}",
["x"] = -2,
["y"] = 424,
["z"] = 2387 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 2\\frac{5}{13}",
["typ"] = "krat" },
["render"] = "\\frac{12}{-14 \\cdot 2\\frac{5}{13}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{4\\frac{2}{5}}",
["typ"] = "lomeno" },
["render"] = "\\frac{12}{-14 \\cdot 2\\frac{5}{13}} + \\frac{-8}{4\\frac{2}{5}}",
["typ"] = "plus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.8, bodu=159, $$-6 + \frac{3\frac{2}{8}}{-10} \cdot (3\frac{1}{8} + (-7)) \cdot 4\frac{5}{9}=\textcolor{white}{-\frac{757}{2880}}$$return {
["body"] = 159,
["id"] = "0LSkCU_0705_2019",
["obtiznost"] = 1.4,
["reseni"] = {
["float"] = -0.26284722222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -757,
["jmenovatel"] = 2880 },
["render"] = "\\frac{-757}{2880}",
["typ"] = "cislo" },
["tex"] = "-\\frac{757}{2880}",
["y"] = -757,
["z"] = 2880 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.8",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{8}}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{8} + (-7)",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{8} + (-7))",
["typ"] = "zavorka" },
["render"] = "\\frac{3\\frac{2}{8}}{-10} \\cdot (3\\frac{1}{8} + (-7))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{8}}{-10} \\cdot (3\\frac{1}{8} + (-7)) \\cdot 4\\frac{5}{9}",
["typ"] = "krat" },
["render"] = "-6 + \\frac{3\\frac{2}{8}}{-10} \\cdot (3\\frac{1}{8} + (-7)) \\cdot 4\\frac{5}{9}",
["typ"] = "plus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.81, bodu=193, $$\frac{-10}{6 \cdot (4\frac{2}{7} - 3\frac{3}{4} \cdot 3\frac{5}{6}) - 3\frac{4}{7}}=\textcolor{white}{\frac{56}{359}}$$return {
["body"] = 193,
["id"] = "cdwUtK_0705_2019",
["obtiznost"] = 1.61,
["reseni"] = {
["float"] = 0.15598885793872,
["objekt"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 359 },
["render"] = "\\frac{-280}{-1795}",
["typ"] = "cislo" },
["tex"] = "\\frac{56}{359}",
["y"] = 56,
["z"] = 359 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.81",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 6 },
["render"] = "3\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{4} \\cdot 3\\frac{5}{6}",
["typ"] = "krat" },
["render"] = "4\\frac{2}{7} - 3\\frac{3}{4} \\cdot 3\\frac{5}{6}",
["typ"] = "minus" },
["render"] = "(4\\frac{2}{7} - 3\\frac{3}{4} \\cdot 3\\frac{5}{6})",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (4\\frac{2}{7} - 3\\frac{3}{4} \\cdot 3\\frac{5}{6})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "6 \\cdot (4\\frac{2}{7} - 3\\frac{3}{4} \\cdot 3\\frac{5}{6}) - 3\\frac{4}{7}",
["typ"] = "minus" },
["render"] = "\\frac{-10}{6 \\cdot (4\\frac{2}{7} - 3\\frac{3}{4} \\cdot 3\\frac{5}{6}) - 3\\frac{4}{7}}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.82, bodu=195, $$3\frac{5}{12} - (-16) + 2\frac{1}{2} \cdot (-12 \cdot 3\frac{4}{9} + 4\frac{1}{9}) + 17=\textcolor{white}{-56\frac{23}{36}}$$return {
["body"] = 195,
["id"] = "AIlNlc_0705_2019",
["obtiznost"] = 1.62,
["reseni"] = {
["float"] = -56.638888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2039,
["jmenovatel"] = 36 },
["render"] = "\\frac{-12234}{216}",
["typ"] = "cislo" },
["tex"] = "-56\\frac{23}{36}",
["x"] = -56,
["y"] = 23,
["z"] = 36 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{12} - (-16)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 3\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 3\\frac{4}{9} + 4\\frac{1}{9}",
["typ"] = "plus" },
["render"] = "(-12 \\cdot 3\\frac{4}{9} + 4\\frac{1}{9})",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{2} \\cdot (-12 \\cdot 3\\frac{4}{9} + 4\\frac{1}{9})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{2} \\cdot (-12 \\cdot 3\\frac{4}{9} + 4\\frac{1}{9}) + 17",
["typ"] = "plus" },
["render"] = "3\\frac{5}{12} - (-16) + 2\\frac{1}{2} \\cdot (-12 \\cdot 3\\frac{4}{9} + 4\\frac{1}{9}) + 17",
["typ"] = "plus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.83, bodu=250, $$13 \cdot (\frac{2\frac{5}{8}}{-15} - 1\frac{2}{4} - ((3\frac{2}{8} + 1\frac{1}{4})^3 + (-12)))=\textcolor{white}{-1050{,}4}$$return {
["body"] = 250,
["id"] = "gcOuG6_0705_2019",
["obtiznost"] = 1.9248,
["reseni"] = {
["float"] = -1050.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5252,
["jmenovatel"] = 5 },
["render"] = "\\frac{-5252}{5}",
["typ"] = "cislo" },
["tex"] = "-1050\\frac{2}{5}",
["tex_float"] = "-1050{,}4",
["x"] = -1050,
["y"] = 2,
["z"] = 5 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.83",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{8}}{-15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{8}}{-15} - 1\\frac{2}{4}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{8} + 1\\frac{1}{4}",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(3\\frac{2}{8} + 1\\frac{1}{4})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(3\\frac{2}{8} + 1\\frac{1}{4})^3 + (-12)",
["typ"] = "plus" },
["render"] = "((3\\frac{2}{8} + 1\\frac{1}{4})^3 + (-12))",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{5}{8}}{-15} - 1\\frac{2}{4} - ((3\\frac{2}{8} + 1\\frac{1}{4})^3 + (-12))",
["typ"] = "minus" },
["render"] = "(\\frac{2\\frac{5}{8}}{-15} - 1\\frac{2}{4} - ((3\\frac{2}{8} + 1\\frac{1}{4})^3 + (-12)))",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (\\frac{2\\frac{5}{8}}{-15} - 1\\frac{2}{4} - ((3\\frac{2}{8} + 1\\frac{1}{4})^3 + (-12)))",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.84, bodu=165, $$\frac{3\frac{1}{6} \cdot (1\frac{1}{10} - (-13 + 12))}{-16 - 2\frac{4}{14}}=\textcolor{white}{-\frac{931}{2560}}$$return {
["body"] = 165,
["id"] = "AEwKdz_0705_2019",
["obtiznost"] = 1.44,
["reseni"] = {
["float"] = -0.363671875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -931,
["jmenovatel"] = 2560 },
["render"] = "\\frac{931}{-2560}",
["typ"] = "cislo" },
["tex"] = "-\\frac{931}{2560}",
["y"] = -931,
["z"] = 2560 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-13 + 12",
["typ"] = "plus" },
["render"] = "(-13 + 12)",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{10} - (-13 + 12)",
["typ"] = "minus" },
["render"] = "(1\\frac{1}{10} - (-13 + 12))",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{6} \\cdot (1\\frac{1}{10} - (-13 + 12))",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{14}",
["typ"] = "cislo" },
["render"] = "-16 - 2\\frac{4}{14}",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{1}{6} \\cdot (1\\frac{1}{10} - (-13 + 12))}{-16 - 2\\frac{4}{14}}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.85, bodu=200, $$(4\frac{3}{7} - (-13) + 4\frac{2}{7}) \cdot (3\frac{4}{6} - 1\frac{3}{9} - 7) + (-23)=\textcolor{white}{-124\frac{1}{3}}$$return {
["body"] = 200,
["id"] = "V7qcX9_0705_2019",
["obtiznost"] = 1.65,
["reseni"] = {
["float"] = -124.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -373,
["jmenovatel"] = 3 },
["render"] = "\\frac{-373}{3}",
["typ"] = "cislo" },
["tex"] = "-124\\frac{1}{3}",
["x"] = -124,
["y"] = 1,
["z"] = 3 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} - (-13)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} - (-13) + 4\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{7} - (-13) + 4\\frac{2}{7})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{6} - 1\\frac{3}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{6} - 1\\frac{3}{9} - 7",
["typ"] = "minus" },
["render"] = "(3\\frac{4}{6} - 1\\frac{3}{9} - 7)",
["typ"] = "zavorka" },
["render"] = "(4\\frac{3}{7} - (-13) + 4\\frac{2}{7}) \\cdot (3\\frac{4}{6} - 1\\frac{3}{9} - 7)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["render"] = "(4\\frac{3}{7} - (-13) + 4\\frac{2}{7}) \\cdot (3\\frac{4}{6} - 1\\frac{3}{9} - 7) + (-23)",
["typ"] = "plus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.86, bodu=168, $$\frac{3\frac{5}{11} \cdot (-11 + 4\frac{3}{11})}{19 \cdot \frac{4\frac{5}{8}}{12}}=\textcolor{white}{-3\frac{21}{121}}$$return {
["body"] = 168,
["id"] = "pcE5Te_0705_2019",
["obtiznost"] = 1.46,
["reseni"] = {
["float"] = -3.1735537190083,
["objekt"] = {
["hodnota"] = {
["citatel"] = -384,
["jmenovatel"] = 121 },
["render"] = "\\frac{-269952}{85063}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{21}{121}",
["x"] = -3,
["y"] = 21,
["z"] = 121 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "-11 + 4\\frac{3}{11}",
["typ"] = "plus" },
["render"] = "(-11 + 4\\frac{3}{11})",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{11} \\cdot (-11 + 4\\frac{3}{11})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{8}}{12}",
["typ"] = "lomeno" },
["render"] = "19 \\cdot \\frac{4\\frac{5}{8}}{12}",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{5}{11} \\cdot (-11 + 4\\frac{3}{11})}{19 \\cdot \\frac{4\\frac{5}{8}}{12}}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.87, bodu=94, $$-12 - (\frac{-17 + 19}{-12})^3 - 2\frac{4}{4} \cdot 10=\textcolor{white}{-41\frac{215}{216}}$$return {
["body"] = 94,
["id"] = "DsQSpg_0705_2019",
["obtiznost"] = 0.9568,
["reseni"] = {
["float"] = -41.99537037037,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9071,
["jmenovatel"] = 216 },
["render"] = "\\frac{-9071}{216}",
["typ"] = "cislo" },
["tex"] = "-41\\frac{215}{216}",
["x"] = -41,
["y"] = 215,
["z"] = 216 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "-17 + 19",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-17 + 19}{-12}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-17 + 19}{-12})^3",
["typ"] = "mocnina" },
["render"] = "-12 - (\\frac{-17 + 19}{-12})^3",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "2\\frac{4}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{4} \\cdot 10",
["typ"] = "krat" },
["render"] = "-12 - (\\frac{-17 + 19}{-12})^3 - 2\\frac{4}{4} \\cdot 10",
["typ"] = "minus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.88, bodu=172, $$\frac{-10}{(4\frac{3}{10} \cdot -12 - (-13 + 4\frac{4}{9})) \cdot 2\frac{3}{8}}=\textcolor{white}{\frac{3600}{36803}}$$return {
["body"] = 172,
["id"] = "PsxiVJ_0705_2019",
["obtiznost"] = 1.48,
["reseni"] = {
["float"] = 0.09781811265386,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3600,
["jmenovatel"] = 36803 },
["render"] = "\\frac{-3600}{-36803}",
["typ"] = "cislo" },
["tex"] = "\\frac{3600}{36803}",
["y"] = 3600,
["z"] = 36803 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.88",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{10} \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-13 + 4\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "(-13 + 4\\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{10} \\cdot -12 - (-13 + 4\\frac{4}{9})",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{10} \\cdot -12 - (-13 + 4\\frac{4}{9}))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "(4\\frac{3}{10} \\cdot -12 - (-13 + 4\\frac{4}{9})) \\cdot 2\\frac{3}{8}",
["typ"] = "krat" },
["render"] = "\\frac{-10}{(4\\frac{3}{10} \\cdot -12 - (-13 + 4\\frac{4}{9})) \\cdot 2\\frac{3}{8}}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.89, bodu=216, $$\frac{(2\frac{4}{8} - 15)^2 + 1\frac{1}{5} - 10 \cdot -7}{1\frac{5}{11}}=\textcolor{white}{156\frac{119}{320}}$$return {
["body"] = 216,
["id"] = "J7pGLd_0705_2019",
["obtiznost"] = 1.7416,
["reseni"] = {
["float"] = 156.371875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 50039,
["jmenovatel"] = 320 },
["render"] = "\\frac{50039}{320}",
["typ"] = "cislo" },
["tex"] = "156\\frac{119}{320}",
["x"] = 156,
["y"] = 119,
["z"] = 320 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{8} - 15",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(2\\frac{4}{8} - 15)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "10 \\cdot -7",
["typ"] = "krat" },
["render"] = "1\\frac{1}{5} - 10 \\cdot -7",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{8} - 15)^2 + 1\\frac{1}{5} - 10 \\cdot -7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{(2\\frac{4}{8} - 15)^2 + 1\\frac{1}{5} - 10 \\cdot -7}{1\\frac{5}{11}}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.9, bodu=143, $$\frac{4\frac{2}{5}}{13} \cdot 22 \cdot \frac{1\frac{3}{7}}{12}=\textcolor{white}{\frac{242}{273}}$$return {
["body"] = 143,
["id"] = "FqaWax_0705_2019",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = 0.88644688644689,
["objekt"] = {
["hodnota"] = {
["citatel"] = 242,
["jmenovatel"] = 273 },
["render"] = "\\frac{2420}{2730}",
["typ"] = "cislo" },
["tex"] = "\\frac{242}{273}",
["y"] = 242,
["z"] = 273 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{5}}{13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{5}}{13} \\cdot 22",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{7}}{12}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{2}{5}}{13} \\cdot 22 \\cdot \\frac{1\\frac{3}{7}}{12}",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.91, bodu=204, $$(-21 + (-14) + 20 - 15)^2 - (3\frac{3}{7} + (-8 \cdot 3\frac{2}{10}))=\textcolor{white}{922\frac{6}{35}}$$return {
["body"] = 204,
["id"] = "K1ZUc5_0705_2019",
["obtiznost"] = 1.6704,
["reseni"] = {
["float"] = 922.17142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 32276,
["jmenovatel"] = 35 },
["render"] = "\\frac{32276}{35}",
["typ"] = "cislo" },
["tex"] = "922\\frac{6}{35}",
["x"] = 922,
["y"] = 6,
["z"] = 35 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.91",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-21 + (-14)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "20 - 15",
["typ"] = "minus" },
["render"] = "-21 + (-14) + 20 - 15",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-21 + (-14) + 20 - 15)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 3\\frac{2}{10}",
["typ"] = "krat" },
["render"] = "3\\frac{3}{7} + (-8 \\cdot 3\\frac{2}{10})",
["typ"] = "plus" },
["render"] = "(3\\frac{3}{7} + (-8 \\cdot 3\\frac{2}{10}))",
["typ"] = "zavorka" },
["render"] = "(-21 + (-14) + 20 - 15)^2 - (3\\frac{3}{7} + (-8 \\cdot 3\\frac{2}{10}))",
["typ"] = "minus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.92, bodu=146, $$\frac{12}{\frac{9}{4\frac{1}{9}} - \frac{-15}{-22}} \cdot 3\frac{3}{9}=\textcolor{white}{26\frac{658}{1227}}$$return {
["body"] = 146,
["id"] = "YDV3R5_0705_2019",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = 26.536267318663,
["objekt"] = {
["hodnota"] = {
["citatel"] = 32560,
["jmenovatel"] = 1227 },
["render"] = "\\frac{32560}{1227}",
["typ"] = "cislo" },
["tex"] = "26\\frac{658}{1227}",
["x"] = 26,
["y"] = 658,
["z"] = 1227 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{4\\frac{1}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{-22}",
["typ"] = "lomeno" },
["render"] = "\\frac{9}{4\\frac{1}{9}} - \\frac{-15}{-22}",
["typ"] = "minus" },
["render"] = "\\frac{12}{\\frac{9}{4\\frac{1}{9}} - \\frac{-15}{-22}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{\\frac{9}{4\\frac{1}{9}} - \\frac{-15}{-22}} \\cdot 3\\frac{3}{9}",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.93, bodu=180, $$\frac{2\frac{3}{8}}{-16 \cdot \frac{2\frac{1}{5}}{\frac{-16 - 4\frac{5}{6}}{16}}}=\textcolor{white}{\frac{11875}{135168}}$$return {
["body"] = 180,
["id"] = "rA7Uk4_0705_2019",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = 0.087853633996212,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11875,
["jmenovatel"] = 135168 },
["render"] = "\\frac{11875}{135168}",
["typ"] = "cislo" },
["tex"] = "\\frac{11875}{135168}",
["y"] = 11875,
["z"] = 135168 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.93",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 6 },
["render"] = "4\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "-16 - 4\\frac{5}{6}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{-16 - 4\\frac{5}{6}}{16}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{1}{5}}{\\frac{-16 - 4\\frac{5}{6}}{16}}",
["typ"] = "lomeno" },
["render"] = "-16 \\cdot \\frac{2\\frac{1}{5}}{\\frac{-16 - 4\\frac{5}{6}}{16}}",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{3}{8}}{-16 \\cdot \\frac{2\\frac{1}{5}}{\\frac{-16 - 4\\frac{5}{6}}{16}}}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.94, bodu=290, $$\frac{(4\frac{2}{8} - 2\frac{3}{8})^2}{(3\frac{2}{4} - 3\frac{4}{13})^2 \cdot -16 \cdot 13}=\textcolor{white}{-\frac{117}{256}}$$return {
["body"] = 290,
["id"] = "wk5NU7_0705_2019",
["obtiznost"] = 2.136,
["reseni"] = {
["float"] = -0.45703125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -117,
["jmenovatel"] = 256 },
["render"] = "\\frac{2925}{-6400}",
["typ"] = "cislo" },
["tex"] = "-\\frac{117}{256}",
["y"] = -117,
["z"] = 256 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.94",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{8} - 2\\frac{3}{8}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{2}{8} - 2\\frac{3}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 13 },
["render"] = "3\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{4} - 3\\frac{4}{13}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{2}{4} - 3\\frac{4}{13})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "(3\\frac{2}{4} - 3\\frac{4}{13})^2 \\cdot -16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(3\\frac{2}{4} - 3\\frac{4}{13})^2 \\cdot -16 \\cdot 13",
["typ"] = "krat" },
["render"] = "\\frac{(4\\frac{2}{8} - 2\\frac{3}{8})^2}{(3\\frac{2}{4} - 3\\frac{4}{13})^2 \\cdot -16 \\cdot 13}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.95, bodu=183, $$2\frac{4}{9} + \frac{17 \cdot \frac{-17}{-10}}{1\frac{1}{8} + 1\frac{4}{5}}=\textcolor{white}{12\frac{38}{117}}$$return {
["body"] = 183,
["id"] = "rWKFV8_0705_2019",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = 12.324786324786,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1442,
["jmenovatel"] = 117 },
["render"] = "\\frac{12978}{1053}",
["typ"] = "cislo" },
["tex"] = "12\\frac{38}{117}",
["x"] = 12,
["y"] = 38,
["z"] = 117 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.95",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{-10}",
["typ"] = "lomeno" },
["render"] = "17 \\cdot \\frac{-17}{-10}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{8} + 1\\frac{4}{5}",
["typ"] = "plus" },
["render"] = "\\frac{17 \\cdot \\frac{-17}{-10}}{1\\frac{1}{8} + 1\\frac{4}{5}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{4}{9} + \\frac{17 \\cdot \\frac{-17}{-10}}{1\\frac{1}{8} + 1\\frac{4}{5}}",
["typ"] = "plus" } }
seed: MHzpexhwBOLi6nd71Ylv_0.96, bodu=236, $$(19 + (-4))^2 \cdot 2\frac{5}{7} \cdot (4\frac{3}{11} - (2\frac{5}{13} - 2\frac{4}{14}))=\textcolor{white}{2549\frac{107}{7007}}$$return {
["body"] = 236,
["id"] = "3kTLpQ_0705_2019",
["obtiznost"] = 1.8504,
["reseni"] = {
["float"] = 2549.0152704438,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17860950,
["jmenovatel"] = 7007 },
["render"] = "\\frac{17860950}{7007}",
["typ"] = "cislo" },
["tex"] = "2549\\frac{107}{7007}",
["x"] = 2549,
["y"] = 107,
["z"] = 7007 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "19 + (-4)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(19 + (-4))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "(19 + (-4))^2 \\cdot 2\\frac{5}{7}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{14}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{13} - 2\\frac{4}{14}",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{13} - 2\\frac{4}{14})",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{11} - (2\\frac{5}{13} - 2\\frac{4}{14})",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{11} - (2\\frac{5}{13} - 2\\frac{4}{14}))",
["typ"] = "zavorka" },
["render"] = "(19 + (-4))^2 \\cdot 2\\frac{5}{7} \\cdot (4\\frac{3}{11} - (2\\frac{5}{13} - 2\\frac{4}{14}))",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.97, bodu=154, $$\frac{1\frac{5}{16} \cdot -17}{2\frac{2}{8} + \frac{(18 + (-17))^4}{-18}}=\textcolor{white}{-10\frac{53}{316}}$$return {
["body"] = 154,
["id"] = "WREtzC_0705_2019",
["obtiznost"] = 1.3708,
["reseni"] = {
["float"] = -10.167721518987,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3213,
["jmenovatel"] = 316 },
["render"] = "\\frac{-12852}{1264}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{53}{316}",
["x"] = -10,
["y"] = 53,
["z"] = 316 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 16 },
["render"] = "1\\frac{5}{16}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{16} \\cdot -17",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "18 + (-17)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(18 + (-17))^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{(18 + (-17))^4}{-18}",
["typ"] = "lomeno" },
["render"] = "2\\frac{2}{8} + \\frac{(18 + (-17))^4}{-18}",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{5}{16} \\cdot -17}{2\\frac{2}{8} + \\frac{(18 + (-17))^4}{-18}}",
["typ"] = "lomeno" } }
seed: MHzpexhwBOLi6nd71Ylv_0.98, bodu=188, $$-7 \cdot (4\frac{2}{7} - (3\frac{2}{10} - (-19)) \cdot -11 - 4\frac{5}{12})=\textcolor{white}{-1708\frac{29}{60}}$$return {
["body"] = 188,
["id"] = "thSOj7_0705_2019",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = -1708.4833333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -102509,
["jmenovatel"] = 60 },
["render"] = "\\frac{-717563}{420}",
["typ"] = "cislo" },
["tex"] = "-1708\\frac{29}{60}",
["x"] = -1708,
["y"] = 29,
["z"] = 60 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.98",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{10} - (-19)",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{10} - (-19))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "(3\\frac{2}{10} - (-19)) \\cdot -11",
["typ"] = "krat" },
["render"] = "4\\frac{2}{7} - (3\\frac{2}{10} - (-19)) \\cdot -11",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{7} - (3\\frac{2}{10} - (-19)) \\cdot -11 - 4\\frac{5}{12}",
["typ"] = "minus" },
["render"] = "(4\\frac{2}{7} - (3\\frac{2}{10} - (-19)) \\cdot -11 - 4\\frac{5}{12})",
["typ"] = "zavorka" },
["render"] = "-7 \\cdot (4\\frac{2}{7} - (3\\frac{2}{10} - (-19)) \\cdot -11 - 4\\frac{5}{12})",
["typ"] = "krat" } }
seed: MHzpexhwBOLi6nd71Ylv_0.99, bodu=157, $$\frac{16}{3\frac{5}{8}} \cdot \frac{-20}{\frac{1\frac{1}{7}}{11}}=\textcolor{white}{-849\frac{19}{29}}$$return {
["body"] = 157,
["id"] = "Tmf1tk_0705_2019",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = -849.65517241379,
["objekt"] = {
["hodnota"] = {
["citatel"] = -24640,
["jmenovatel"] = 29 },
["render"] = "\\frac{-49280}{58}",
["typ"] = "cislo" },
["tex"] = "-849\\frac{19}{29}",
["x"] = -849,
["y"] = 19,
["z"] = 29 },
["seed"] = "MHzpexhwBOLi6nd71Ylv_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{16}{3\\frac{5}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{7}}{11}",
["typ"] = "lomeno" },
["render"] = "\\frac{-20}{\\frac{1\\frac{1}{7}}{11}}",
["typ"] = "lomeno" },
["render"] = "\\frac{16}{3\\frac{5}{8}} \\cdot \\frac{-20}{\\frac{1\\frac{1}{7}}{11}}",
["typ"] = "krat" } }
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Lucky-star-good-job-o.gif: 
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Toothless_ecstatic_claps.gif: 
UJrA.gif: 
VEKsdfggfd0.gif: 
anime-cegfdhhhlebration-gif-9.gif: 
anime-celefdghdfgfbration-gif-13.gif: 
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ecstatic.gif: 
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jocelyn_ecstatic__animated__by_tsnow-d7kwtd6.gif: 
joyyy.gif: 
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poehler.gif: 
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vUn8eIh.gif: 
well-done-jennifer-anniston-clap-applause-2.gif: 