- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: n5aDHcFLKLLlmJGVJf4E_0, bodu=5, $$(7 + 5) \cdot 7 + 4=\textcolor{white}{88}$$return {
["body"] = 5,
["id"] = "A1avmK_1101_2211",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 88,
["jmenovatel"] = 1 },
["render"] = "\\frac{88}{1}",
["typ"] = "cislo" },
["tex"] = "88",
["x"] = 88 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 + 5",
["typ"] = "plus" },
["render"] = "(7 + 5)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(7 + 5) \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(7 + 5) \\cdot 7 + 4",
["typ"] = "plus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.01, bodu=10, $$\frac{7 - (-5)}{6 \cdot 3}=\textcolor{white}{\frac{2}{3}}$$return {
["body"] = 10,
["id"] = "infhgB_1101_2211",
["obtiznost"] = 0.01,
["reseni"] = {
["float"] = 0.66666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 3 },
["render"] = "\\frac{12}{18}",
["typ"] = "cislo" },
["tex"] = "\\frac{2}{3}",
["y"] = 2,
["z"] = 3 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "7 - (-5)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "6 \\cdot 3",
["typ"] = "krat" },
["render"] = "\\frac{7 - (-5)}{6 \\cdot 3}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.02, bodu=22, $$(\frac{8}{-5})^3 \cdot (5 - (-10))=\textcolor{white}{-61{,}44}$$return {
["body"] = 22,
["id"] = "jvPVjZ_1101_2211",
["obtiznost"] = 0.2748,
["reseni"] = {
["float"] = -61.44,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1536,
["jmenovatel"] = 25 },
["render"] = "\\frac{-7680}{125}",
["typ"] = "cislo" },
["tex"] = "-61\\frac{11}{25}",
["tex_float"] = "-61{,}44",
["x"] = -61,
["y"] = 11,
["z"] = 25 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.02",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-5}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{8}{-5})^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "5 - (-10)",
["typ"] = "minus" },
["render"] = "(5 - (-10))",
["typ"] = "zavorka" },
["render"] = "(\\frac{8}{-5})^3 \\cdot (5 - (-10))",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.03, bodu=10, $$\frac{5 + 8}{6 \cdot 7}=\textcolor{white}{\frac{13}{42}}$$return {
["body"] = 10,
["id"] = "o7qk90_1101_2211",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = 0.30952380952381,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 42 },
["render"] = "\\frac{13}{42}",
["typ"] = "cislo" },
["tex"] = "\\frac{13}{42}",
["y"] = 13,
["z"] = 42 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 + 8",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 \\cdot 7",
["typ"] = "krat" },
["render"] = "\\frac{5 + 8}{6 \\cdot 7}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.04, bodu=5, $$(7 - 5) \cdot (8 + 5)=\textcolor{white}{26}$$return {
["body"] = 5,
["id"] = "QRYI5I_1101_2211",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 1 },
["render"] = "\\frac{26}{1}",
["typ"] = "cislo" },
["tex"] = "26",
["x"] = 26 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.04",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 - 5",
["typ"] = "minus" },
["render"] = "(7 - 5)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "8 + 5",
["typ"] = "plus" },
["render"] = "(8 + 5)",
["typ"] = "zavorka" },
["render"] = "(7 - 5) \\cdot (8 + 5)",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.05, bodu=23, $$\frac{-5}{(\frac{-9 - (-6)}{3\frac{1}{2}})^2}=\textcolor{white}{-6\frac{29}{36}}$$return {
["body"] = 23,
["id"] = "6jrwJn_1101_2211",
["obtiznost"] = 0.284,
["reseni"] = {
["float"] = -6.8055555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -245,
["jmenovatel"] = 36 },
["render"] = "\\frac{-245}{36}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{29}{36}",
["x"] = -6,
["y"] = 29,
["z"] = 36 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-9 - (-6)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "\\frac{-9 - (-6)}{3\\frac{1}{2}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-9 - (-6)}{3\\frac{1}{2}})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-5}{(\\frac{-9 - (-6)}{3\\frac{1}{2}})^2}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.06, bodu=21, $$\frac{8}{3\frac{3}{6} + 7 \cdot -5}=\textcolor{white}{-\frac{16}{63}}$$return {
["body"] = 21,
["id"] = "suFmj3_1101_2211",
["obtiznost"] = 0.26,
["reseni"] = {
["float"] = -0.25396825396825,
["objekt"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 63 },
["render"] = "\\frac{16}{-63}",
["typ"] = "cislo" },
["tex"] = "-\\frac{16}{63}",
["y"] = -16,
["z"] = 63 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.06",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "7 \\cdot -5",
["typ"] = "krat" },
["render"] = "3\\frac{3}{6} + 7 \\cdot -5",
["typ"] = "plus" },
["render"] = "\\frac{8}{3\\frac{3}{6} + 7 \\cdot -5}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.07, bodu=11, $$3 \cdot \frac{10}{-8}=\textcolor{white}{-3{,}75}$$return {
["body"] = 11,
["id"] = "yXyo3K_1101_2211",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = -3.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 4 },
["render"] = "\\frac{-15}{4}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{3}{4}",
["tex_float"] = "-3{,}75",
["x"] = -3,
["y"] = 3,
["z"] = 4 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.07",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-8}",
["typ"] = "lomeno" },
["render"] = "3 \\cdot \\frac{10}{-8}",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.08, bodu=23, $$\frac{6}{2\frac{3}{7}} + (-10) - 10=\textcolor{white}{-17\frac{9}{17}}$$return {
["body"] = 23,
["id"] = "xANNFi_1101_2211",
["obtiznost"] = 0.28,
["reseni"] = {
["float"] = -17.529411764706,
["objekt"] = {
["hodnota"] = {
["citatel"] = -298,
["jmenovatel"] = 17 },
["render"] = "\\frac{-298}{17}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{9}{17}",
["x"] = -17,
["y"] = 9,
["z"] = 17 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{2\\frac{3}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{6}{2\\frac{3}{7}} + (-10)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{6}{2\\frac{3}{7}} + (-10) - 10",
["typ"] = "minus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.09, bodu=12, $$\frac{9 + (-8)}{5 \cdot -10}=\textcolor{white}{-0{,}02}$$return {
["body"] = 12,
["id"] = "jbFmBb_1101_2211",
["obtiznost"] = 0.09,
["reseni"] = {
["float"] = -0.02,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 50 },
["render"] = "\\frac{1}{-50}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{50}",
["tex_float"] = "-0{,}02",
["y"] = -1,
["z"] = 50 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.09",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "5 \\cdot -10",
["typ"] = "krat" },
["render"] = "\\frac{9 + (-8)}{5 \\cdot -10}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.1, bodu=13, $$((\frac{8}{-8})^4 + (-6 + 7))^3=\textcolor{white}{8}$$return {
["body"] = 13,
["id"] = "qVffI9_1101_2211",
["obtiznost"] = 0.1044,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "\\frac{8}{1}",
["typ"] = "cislo" },
["tex"] = "8",
["tex_float"] = "8",
["x"] = 8 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.1",
["zadani"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-8}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{8}{-8})^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-6 + 7",
["typ"] = "plus" },
["render"] = "(\\frac{8}{-8})^4 + (-6 + 7)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "((\\frac{8}{-8})^4 + (-6 + 7))^3",
["typ"] = "mocnina" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.11, bodu=6, $$(12 - (10 + 5) - (-6))^3=\textcolor{white}{27}$$return {
["body"] = 6,
["id"] = "KB09Rn_1101_2211",
["obtiznost"] = 0.1212,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 1 },
["render"] = "\\frac{27}{1}",
["typ"] = "cislo" },
["tex"] = "27",
["tex_float"] = "27",
["x"] = 27 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.11",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "10 + 5",
["typ"] = "plus" },
["render"] = "(10 + 5)",
["typ"] = "zavorka" },
["render"] = "12 - (10 + 5)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "12 - (10 + 5) - (-6)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(12 - (10 + 5) - (-6))^3",
["typ"] = "mocnina" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.12, bodu=13, $$(8 - (\frac{-8}{4})^3) \cdot 6=\textcolor{white}{96}$$return {
["body"] = 13,
["id"] = "NQ6wW6_1101_2211",
["obtiznost"] = 0.1236,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 96,
["jmenovatel"] = 1 },
["render"] = "\\frac{96}{1}",
["typ"] = "cislo" },
["tex"] = "96",
["tex_float"] = "96",
["x"] = 96 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.12",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{4}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-8}{4})^3",
["typ"] = "mocnina" },
["render"] = "8 - (\\frac{-8}{4})^3",
["typ"] = "minus" },
["render"] = "(8 - (\\frac{-8}{4})^3)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(8 - (\\frac{-8}{4})^3) \\cdot 6",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.13, bodu=7, $$10 \cdot 11 - (8 - 6)=\textcolor{white}{108}$$return {
["body"] = 7,
["id"] = "tbO76D_1101_2211",
["obtiznost"] = 0.13,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 108,
["jmenovatel"] = 1 },
["render"] = "\\frac{108}{1}",
["typ"] = "cislo" },
["tex"] = "108",
["x"] = 108 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "10 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 - 6",
["typ"] = "minus" },
["render"] = "(8 - 6)",
["typ"] = "zavorka" },
["render"] = "10 \\cdot 11 - (8 - 6)",
["typ"] = "minus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.14, bodu=7, $$-9 \cdot 6 \cdot 7=\textcolor{white}{-378}$$return {
["body"] = 7,
["id"] = "iDxqh1_1101_2211",
["obtiznost"] = 0.14,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -378,
["jmenovatel"] = 1 },
["render"] = "\\frac{-378}{1}",
["typ"] = "cislo" },
["tex"] = "-378",
["tex_float"] = "-378",
["x"] = -378 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.14",
["zadani"] = {
["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"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 6 \\cdot 7",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.15, bodu=15, $$\frac{10}{-8 \cdot 7}=\textcolor{white}{-\frac{5}{28}}$$return {
["body"] = 15,
["id"] = "xzTCo4_1101_2211",
["obtiznost"] = 0.15,
["reseni"] = {
["float"] = -0.17857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 28 },
["render"] = "\\frac{10}{-56}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{28}",
["y"] = -5,
["z"] = 28 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.15",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 7",
["typ"] = "krat" },
["render"] = "\\frac{10}{-8 \\cdot 7}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.16, bodu=37, $$\frac{(5 \cdot 1\frac{1}{2})^2}{(8 + (-7))^3}=\textcolor{white}{56{,}25}$$return {
["body"] = 37,
["id"] = "S8qBPi_1101_2211",
["obtiznost"] = 0.4524,
["reseni"] = {
["float"] = 56.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 225,
["jmenovatel"] = 4 },
["render"] = "\\frac{225}{4}",
["typ"] = "cislo" },
["tex"] = "56\\frac{1}{4}",
["tex_float"] = "56{,}25",
["x"] = 56,
["y"] = 1,
["z"] = 4 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.16",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "5 \\cdot 1\\frac{1}{2}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(5 \\cdot 1\\frac{1}{2})^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "8 + (-7)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(8 + (-7))^3",
["typ"] = "mocnina" },
["render"] = "\\frac{(5 \\cdot 1\\frac{1}{2})^2}{(8 + (-7))^3}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.17, bodu=30, $$\frac{3\frac{4}{6} - 11}{4 - 5}=\textcolor{white}{7\frac{1}{3}}$$return {
["body"] = 30,
["id"] = "WpnN1D_1101_2211",
["obtiznost"] = 0.37,
["reseni"] = {
["float"] = 7.3333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 3 },
["render"] = "\\frac{-22}{-3}",
["typ"] = "cislo" },
["tex"] = "7\\frac{1}{3}",
["x"] = 7,
["y"] = 1,
["z"] = 3 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{6} - 11",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4 - 5",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{4}{6} - 11}{4 - 5}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.18, bodu=8, $$7 + 8 + 9 + 3 - 4=\textcolor{white}{23}$$return {
["body"] = 8,
["id"] = "Y05k36_1101_2211",
["obtiznost"] = 0.18,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "\\frac{23}{1}",
["typ"] = "cislo" },
["tex"] = "23",
["tex_float"] = "23",
["x"] = 23 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 + 8",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "3 - 4",
["typ"] = "minus" },
["render"] = "9 + 3 - 4",
["typ"] = "plus" },
["render"] = "7 + 8 + 9 + 3 - 4",
["typ"] = "plus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.19, bodu=17, $$(10 + 9 - (-5))^2 \cdot -5=\textcolor{white}{-2880}$$return {
["body"] = 17,
["id"] = "nuS1NZ_1101_2211",
["obtiznost"] = 0.4208,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -2880,
["jmenovatel"] = 1 },
["render"] = "\\frac{-2880}{1}",
["typ"] = "cislo" },
["tex"] = "-2880",
["tex_float"] = "-2880",
["x"] = -2880 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.19",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "10 + 9 - (-5)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(10 + 9 - (-5))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "(10 + 9 - (-5))^2 \\cdot -5",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.2, bodu=18, $$\frac{12 \cdot -11}{9 \cdot 10}=\textcolor{white}{-1\frac{7}{15}}$$return {
["body"] = 18,
["id"] = "BEtJUy_1101_2211",
["obtiznost"] = 0.2,
["reseni"] = {
["float"] = -1.4666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 15 },
["render"] = "\\frac{-132}{90}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{7}{15}",
["x"] = -1,
["y"] = 7,
["z"] = 15 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "12 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "9 \\cdot 10",
["typ"] = "krat" },
["render"] = "\\frac{12 \\cdot -11}{9 \\cdot 10}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.21, bodu=18, $$\frac{10 \cdot -10}{11 \cdot 7}=\textcolor{white}{-1\frac{23}{77}}$$return {
["body"] = 18,
["id"] = "jPJS4E_1101_2211",
["obtiznost"] = 0.21,
["reseni"] = {
["float"] = -1.2987012987013,
["objekt"] = {
["hodnota"] = {
["citatel"] = -100,
["jmenovatel"] = 77 },
["render"] = "\\frac{-100}{77}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{23}{77}",
["x"] = -1,
["y"] = 23,
["z"] = 77 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "10 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "11 \\cdot 7",
["typ"] = "krat" },
["render"] = "\\frac{10 \\cdot -10}{11 \\cdot 7}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.22, bodu=19, $$\frac{8 - (-3 \cdot 2)}{-7}=\textcolor{white}{-2}$$return {
["body"] = 19,
["id"] = "QwtHO8_1101_2211",
["obtiznost"] = 0.22,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "\\frac{14}{-7}",
["typ"] = "cislo" },
["tex"] = "-2",
["tex_float"] = "-2",
["x"] = -2 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "-3 \\cdot 2",
["typ"] = "krat" },
["render"] = "8 - (-3 \\cdot 2)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{8 - (-3 \\cdot 2)}{-7}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.23, bodu=9, $$5 \cdot (-4 \cdot 11 + 5)=\textcolor{white}{-195}$$return {
["body"] = 9,
["id"] = "UnvQos_1101_2211",
["obtiznost"] = 0.23,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -195,
["jmenovatel"] = 1 },
["render"] = "\\frac{-195}{1}",
["typ"] = "cislo" },
["tex"] = "-195",
["x"] = -195 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.23",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-4 \\cdot 11 + 5",
["typ"] = "plus" },
["render"] = "(-4 \\cdot 11 + 5)",
["typ"] = "zavorka" },
["render"] = "5 \\cdot (-4 \\cdot 11 + 5)",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.24, bodu=36, $$\frac{\frac{11}{9 - 2\frac{3}{8}}}{-10}=\textcolor{white}{-\frac{44}{265}}$$return {
["body"] = 36,
["id"] = "03ynCN_1101_2211",
["obtiznost"] = 0.44,
["reseni"] = {
["float"] = -0.16603773584906,
["objekt"] = {
["hodnota"] = {
["citatel"] = -44,
["jmenovatel"] = 265 },
["render"] = "\\frac{88}{-530}",
["typ"] = "cislo" },
["tex"] = "-\\frac{44}{265}",
["y"] = -44,
["z"] = 265 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "9 - 2\\frac{3}{8}",
["typ"] = "minus" },
["render"] = "\\frac{11}{9 - 2\\frac{3}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{11}{9 - 2\\frac{3}{8}}}{-10}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.25, bodu=51, $$\frac{-5 \cdot (10 - (11 + 8)^2)}{4\frac{3}{7}}=\textcolor{white}{396\frac{9}{31}}$$return {
["body"] = 51,
["id"] = "mC8D8y_1101_2211",
["obtiznost"] = 0.5948,
["reseni"] = {
["float"] = 396.29032258065,
["objekt"] = {
["hodnota"] = {
["citatel"] = 12285,
["jmenovatel"] = 31 },
["render"] = "\\frac{12285}{31}",
["typ"] = "cislo" },
["tex"] = "396\\frac{9}{31}",
["x"] = 396,
["y"] = 9,
["z"] = 31 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "11 + 8",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(11 + 8)^2",
["typ"] = "mocnina" },
["render"] = "10 - (11 + 8)^2",
["typ"] = "minus" },
["render"] = "(10 - (11 + 8)^2)",
["typ"] = "zavorka" },
["render"] = "-5 \\cdot (10 - (11 + 8)^2)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-5 \\cdot (10 - (11 + 8)^2)}{4\\frac{3}{7}}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.26, bodu=52, $$(\frac{7}{8})^3 \cdot (8 + 6)=\textcolor{white}{9\frac{97}{256}}$$return {
["body"] = 52,
["id"] = "rqZ22T_1101_2211",
["obtiznost"] = 0.602,
["reseni"] = {
["float"] = 9.37890625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2401,
["jmenovatel"] = 256 },
["render"] = "\\frac{4802}{512}",
["typ"] = "cislo" },
["tex"] = "9\\frac{97}{256}",
["x"] = 9,
["y"] = 97,
["z"] = 256 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.26",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{7}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{7}{8})^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["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" },
["render"] = "(8 + 6)",
["typ"] = "zavorka" },
["render"] = "(\\frac{7}{8})^3 \\cdot (8 + 6)",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.27, bodu=38, $$2\frac{4}{7} \cdot 8 - 5 \cdot 13=\textcolor{white}{-44\frac{3}{7}}$$return {
["body"] = 38,
["id"] = "uqJx3t_1101_2211",
["obtiznost"] = 0.47,
["reseni"] = {
["float"] = -44.428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -311,
["jmenovatel"] = 7 },
["render"] = "\\frac{-311}{7}",
["typ"] = "cislo" },
["tex"] = "-44\\frac{3}{7}",
["x"] = -44,
["y"] = 3,
["z"] = 7 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{7} \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "5 \\cdot 13",
["typ"] = "krat" },
["render"] = "2\\frac{4}{7} \\cdot 8 - 5 \\cdot 13",
["typ"] = "minus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.28, bodu=39, $$\frac{\frac{3\frac{1}{3}}{6}}{-7 - 9}=\textcolor{white}{-\frac{5}{144}}$$return {
["body"] = 39,
["id"] = "8nH9xp_1101_2211",
["obtiznost"] = 0.48,
["reseni"] = {
["float"] = -0.034722222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 144 },
["render"] = "\\frac{5}{-144}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{144}",
["y"] = -5,
["z"] = 144 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{3}}{6}",
["typ"] = "lomeno" },
["c2"] = {
["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"] = "\\frac{\\frac{3\\frac{1}{3}}{6}}{-7 - 9}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.29, bodu=29, $$(8 - \frac{9}{6})^2 \cdot 10=\textcolor{white}{422{,}5}$$return {
["body"] = 29,
["id"] = "JcrkJK_1101_2211",
["obtiznost"] = 0.3592,
["reseni"] = {
["float"] = 422.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 845,
["jmenovatel"] = 2 },
["render"] = "\\frac{1690}{4}",
["typ"] = "cislo" },
["tex"] = "422\\frac{1}{2}",
["tex_float"] = "422{,}5",
["x"] = 422,
["y"] = 1,
["z"] = 2 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.29",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{9}{6}",
["typ"] = "lomeno" },
["render"] = "8 - \\frac{9}{6}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(8 - \\frac{9}{6})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(8 - \\frac{9}{6})^2 \\cdot 10",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.3, bodu=35, $$14 \cdot \frac{(10 + (-8))^3}{(6 - (-12))^2}=\textcolor{white}{\frac{28}{81}}$$return {
["body"] = 35,
["id"] = "ozhVjS_1101_2211",
["obtiznost"] = 0.4336,
["reseni"] = {
["float"] = 0.34567901234568,
["objekt"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 81 },
["render"] = "\\frac{28}{81}",
["typ"] = "cislo" },
["tex"] = "\\frac{28}{81}",
["y"] = 28,
["z"] = 81 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.3",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "10 + (-8)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(10 + (-8))^3",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "6 - (-12)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(6 - (-12))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{(10 + (-8))^3}{(6 - (-12))^2}",
["typ"] = "lomeno" },
["render"] = "14 \\cdot \\frac{(10 + (-8))^3}{(6 - (-12))^2}",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.31, bodu=63, $$\frac{3\frac{4}{8} + 7 + 10}{-8 + 9 + 2\frac{5}{6}}=\textcolor{white}{5\frac{8}{23}}$$return {
["body"] = 63,
["id"] = "Yve7a0_1101_2211",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = 5.3478260869565,
["objekt"] = {
["hodnota"] = {
["citatel"] = 123,
["jmenovatel"] = 23 },
["render"] = "\\frac{246}{46}",
["typ"] = "cislo" },
["tex"] = "5\\frac{8}{23}",
["x"] = 5,
["y"] = 8,
["z"] = 23 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "7 + 10",
["typ"] = "plus" },
["render"] = "3\\frac{4}{8} + 7 + 10",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 6 },
["render"] = "2\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "9 + 2\\frac{5}{6}",
["typ"] = "plus" },
["render"] = "-8 + 9 + 2\\frac{5}{6}",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{4}{8} + 7 + 10}{-8 + 9 + 2\\frac{5}{6}}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.32, bodu=26, $$\frac{12}{13 + (-9 \cdot -7)}=\textcolor{white}{\frac{3}{19}}$$return {
["body"] = 26,
["id"] = "kceC2A_1101_2211",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = 0.15789473684211,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 19 },
["render"] = "\\frac{12}{76}",
["typ"] = "cislo" },
["tex"] = "\\frac{3}{19}",
["y"] = 3,
["z"] = 19 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.32",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -7",
["typ"] = "krat" },
["render"] = "13 + (-9 \\cdot -7)",
["typ"] = "plus" },
["render"] = "\\frac{12}{13 + (-9 \\cdot -7)}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.33, bodu=13, $$-10 \cdot (5 + 8) - 7 + (-8)=\textcolor{white}{-145}$$return {
["body"] = 13,
["id"] = "lJhSdc_1101_2211",
["obtiznost"] = 0.33,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -145,
["jmenovatel"] = 1 },
["render"] = "\\frac{-145}{1}",
["typ"] = "cislo" },
["tex"] = "-145",
["x"] = -145 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 + 8",
["typ"] = "plus" },
["render"] = "(5 + 8)",
["typ"] = "zavorka" },
["render"] = "-10 \\cdot (5 + 8)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-10 \\cdot (5 + 8) - 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-10 \\cdot (5 + 8) - 7 + (-8)",
["typ"] = "plus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.34, bodu=45, $$\frac{12}{4\frac{5}{9} + 9 - \frac{-12}{14}}=\textcolor{white}{\frac{189}{227}}$$return {
["body"] = 45,
["id"] = "LMJn5F_1101_2211",
["obtiznost"] = 0.54,
["reseni"] = {
["float"] = 0.83259911894273,
["objekt"] = {
["hodnota"] = {
["citatel"] = 189,
["jmenovatel"] = 227 },
["render"] = "\\frac{756}{908}",
["typ"] = "cislo" },
["tex"] = "\\frac{189}{227}",
["y"] = 189,
["z"] = 227 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{9} + 9",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{14}",
["typ"] = "lomeno" },
["render"] = "4\\frac{5}{9} + 9 - \\frac{-12}{14}",
["typ"] = "minus" },
["render"] = "\\frac{12}{4\\frac{5}{9} + 9 - \\frac{-12}{14}}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.35, bodu=35, $$8 + (\frac{13}{13} + 5)^3 - 8=\textcolor{white}{216}$$return {
["body"] = 35,
["id"] = "BcSQ1G_1101_2211",
["obtiznost"] = 0.4368,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 216,
["jmenovatel"] = 1 },
["render"] = "\\frac{216}{1}",
["typ"] = "cislo" },
["tex"] = "216",
["x"] = 216 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.35",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{13}{13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{13}{13} + 5",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(\\frac{13}{13} + 5)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(\\frac{13}{13} + 5)^3 - 8",
["typ"] = "minus" },
["render"] = "8 + (\\frac{13}{13} + 5)^3 - 8",
["typ"] = "plus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.36, bodu=47, $$3\frac{5}{9} - (-5 \cdot 7 \cdot 9)=\textcolor{white}{318\frac{5}{9}}$$return {
["body"] = 47,
["id"] = "ZUdPpO_1101_2211",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = 318.55555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2867,
["jmenovatel"] = 9 },
["render"] = "\\frac{2867}{9}",
["typ"] = "cislo" },
["tex"] = "318\\frac{5}{9}",
["x"] = 318,
["y"] = 5,
["z"] = 9 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.36",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["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"] = "-5 \\cdot 7 \\cdot 9",
["typ"] = "krat" },
["render"] = "3\\frac{5}{9} - (-5 \\cdot 7 \\cdot 9)",
["typ"] = "minus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.37, bodu=30, $$\frac{14}{-14 \cdot 12} \cdot -9=\textcolor{white}{0{,}75}$$return {
["body"] = 30,
["id"] = "nMjzta_1101_2211",
["obtiznost"] = 0.37,
["reseni"] = {
["float"] = 0.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 4 },
["render"] = "\\frac{9}{12}",
["typ"] = "cislo" },
["tex"] = "\\frac{3}{4}",
["tex_float"] = "0{,}75",
["y"] = 3,
["z"] = 4 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 12",
["typ"] = "krat" },
["render"] = "\\frac{14}{-14 \\cdot 12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{14}{-14 \\cdot 12} \\cdot -9",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.38, bodu=15, $$8 + 12 + 9 \cdot (7 + 10)=\textcolor{white}{173}$$return {
["body"] = 15,
["id"] = "U2eNXZ_1101_2211",
["obtiznost"] = 0.38,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 173,
["jmenovatel"] = 1 },
["render"] = "\\frac{173}{1}",
["typ"] = "cislo" },
["tex"] = "173",
["tex_float"] = "173",
["x"] = 173 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "8 + 12",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "7 + 10",
["typ"] = "plus" },
["render"] = "(7 + 10)",
["typ"] = "zavorka" },
["render"] = "9 \\cdot (7 + 10)",
["typ"] = "krat" },
["render"] = "8 + 12 + 9 \\cdot (7 + 10)",
["typ"] = "plus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.39, bodu=73, $$\frac{3\frac{4}{9}}{3\frac{4}{10} - (14 - (-5))}=\textcolor{white}{-\frac{155}{702}}$$return {
["body"] = 73,
["id"] = "pQJCt4_1101_2211",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = -0.22079772079772,
["objekt"] = {
["hodnota"] = {
["citatel"] = -155,
["jmenovatel"] = 702 },
["render"] = "\\frac{155}{-702}",
["typ"] = "cislo" },
["tex"] = "-\\frac{155}{702}",
["y"] = -155,
["z"] = 702 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.39",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "14 - (-5)",
["typ"] = "minus" },
["render"] = "(14 - (-5))",
["typ"] = "zavorka" },
["render"] = "3\\frac{4}{10} - (14 - (-5))",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{4}{9}}{3\\frac{4}{10} - (14 - (-5))}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.4, bodu=64, $$10 - (6 \cdot 1\frac{2}{6} - (8 + 17))^2=\textcolor{white}{-279}$$return {
["body"] = 64,
["id"] = "8xuBBl_1101_2211",
["obtiznost"] = 0.716,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -279,
["jmenovatel"] = 1 },
["render"] = "\\frac{-279}{1}",
["typ"] = "cislo" },
["tex"] = "-279",
["tex_float"] = "-279",
["x"] = -279 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.4",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 1\\frac{2}{6}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "8 + 17",
["typ"] = "plus" },
["render"] = "(8 + 17)",
["typ"] = "zavorka" },
["render"] = "6 \\cdot 1\\frac{2}{6} - (8 + 17)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(6 \\cdot 1\\frac{2}{6} - (8 + 17))^2",
["typ"] = "mocnina" },
["render"] = "10 - (6 \\cdot 1\\frac{2}{6} - (8 + 17))^2",
["typ"] = "minus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.41, bodu=52, $$(-8 + (-14) - 1\frac{1}{5}) \cdot (9 - 4)=\textcolor{white}{-116}$$return {
["body"] = 52,
["id"] = "pp1hoI_1101_2211",
["obtiznost"] = 0.61,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -116,
["jmenovatel"] = 1 },
["render"] = "\\frac{-580}{5}",
["typ"] = "cislo" },
["tex"] = "-116",
["tex_float"] = "-116",
["x"] = -116 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.41",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-8 + (-14)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-8 + (-14) - 1\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "(-8 + (-14) - 1\\frac{1}{5})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "9 - 4",
["typ"] = "minus" },
["render"] = "(9 - 4)",
["typ"] = "zavorka" },
["render"] = "(-8 + (-14) - 1\\frac{1}{5}) \\cdot (9 - 4)",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.42, bodu=34, $$\frac{-16 - \frac{11}{-8}}{\frac{3}{8}}=\textcolor{white}{-39}$$return {
["body"] = 34,
["id"] = "04rcIt_1101_2211",
["obtiznost"] = 0.42,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -39,
["jmenovatel"] = 1 },
["render"] = "\\frac{-936}{24}",
["typ"] = "cislo" },
["tex"] = "-39",
["x"] = -39 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-8}",
["typ"] = "lomeno" },
["render"] = "-16 - \\frac{11}{-8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{3}{8}",
["typ"] = "lomeno" },
["render"] = "\\frac{-16 - \\frac{11}{-8}}{\\frac{3}{8}}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.43, bodu=55, $$(14 + (-11))^2 - (4\frac{1}{3} - 11) \cdot -8=\textcolor{white}{-44\frac{1}{3}}$$return {
["body"] = 55,
["id"] = "8g65Xc_1101_2211",
["obtiznost"] = 0.634,
["reseni"] = {
["float"] = -44.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -133,
["jmenovatel"] = 3 },
["render"] = "\\frac{-133}{3}",
["typ"] = "cislo" },
["tex"] = "-44\\frac{1}{3}",
["x"] = -44,
["y"] = 1,
["z"] = 3 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.43",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "14 + (-11)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(14 + (-11))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{3} - 11",
["typ"] = "minus" },
["render"] = "(4\\frac{1}{3} - 11)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(4\\frac{1}{3} - 11) \\cdot -8",
["typ"] = "krat" },
["render"] = "(14 + (-11))^2 - (4\\frac{1}{3} - 11) \\cdot -8",
["typ"] = "minus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.44, bodu=82, $$(\frac{15 + (-16)}{-8})^2 + 1\frac{4}{8} + 8 + 3\frac{2}{6}=\textcolor{white}{12\frac{163}{192}}$$return {
["body"] = 82,
["id"] = "w2RFvf_1101_2211",
["obtiznost"] = 0.866,
["reseni"] = {
["float"] = 12.848958333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2467,
["jmenovatel"] = 192 },
["render"] = "\\frac{4934}{384}",
["typ"] = "cislo" },
["tex"] = "12\\frac{163}{192}",
["x"] = 12,
["y"] = 163,
["z"] = 192 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.44",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "15 + (-16)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{15 + (-16)}{-8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{15 + (-16)}{-8})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} + 8 + 3\\frac{2}{6}",
["typ"] = "plus" },
["render"] = "(\\frac{15 + (-16)}{-8})^2 + 1\\frac{4}{8} + 8 + 3\\frac{2}{6}",
["typ"] = "plus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.45, bodu=57, $$6 - 3\frac{4}{10} - \frac{10}{8 - (-13)}=\textcolor{white}{2\frac{13}{105}}$$return {
["body"] = 57,
["id"] = "8XssS2_1101_2211",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = 2.1238095238095,
["objekt"] = {
["hodnota"] = {
["citatel"] = 223,
["jmenovatel"] = 105 },
["render"] = "\\frac{223}{105}",
["typ"] = "cislo" },
["tex"] = "2\\frac{13}{105}",
["x"] = 2,
["y"] = 13,
["z"] = 105 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "6 - 3\\frac{4}{10}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "8 - (-13)",
["typ"] = "minus" },
["render"] = "\\frac{10}{8 - (-13)}",
["typ"] = "lomeno" },
["render"] = "6 - 3\\frac{4}{10} - \\frac{10}{8 - (-13)}",
["typ"] = "minus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.46, bodu=58, $$\frac{10}{13 \cdot 1\frac{3}{6}} \cdot -7=\textcolor{white}{-3\frac{23}{39}}$$return {
["body"] = 58,
["id"] = "IaExm3_1101_2211",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = -3.5897435897436,
["objekt"] = {
["hodnota"] = {
["citatel"] = -140,
["jmenovatel"] = 39 },
["render"] = "\\frac{-140}{39}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{23}{39}",
["x"] = -3,
["y"] = 23,
["z"] = 39 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 1\\frac{3}{6}",
["typ"] = "krat" },
["render"] = "\\frac{10}{13 \\cdot 1\\frac{3}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{10}{13 \\cdot 1\\frac{3}{6}} \\cdot -7",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.47, bodu=38, $$\frac{9}{\frac{4}{\frac{-9}{-13 + (-8)}}}=\textcolor{white}{\frac{27}{28}}$$return {
["body"] = 38,
["id"] = "cvArrg_1101_2211",
["obtiznost"] = 0.47,
["reseni"] = {
["float"] = 0.96428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 28 },
["render"] = "\\frac{27}{28}",
["typ"] = "cislo" },
["tex"] = "\\frac{27}{28}",
["y"] = 27,
["z"] = 28 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.47",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-13 + (-8)",
["typ"] = "plus" },
["render"] = "\\frac{-9}{-13 + (-8)}",
["typ"] = "lomeno" },
["render"] = "\\frac{4}{\\frac{-9}{-13 + (-8)}}",
["typ"] = "lomeno" },
["render"] = "\\frac{9}{\\frac{4}{\\frac{-9}{-13 + (-8)}}}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.48, bodu=60, $$13 - \frac{5}{-10 + 7 + (-9) + 1\frac{2}{5}}=\textcolor{white}{13\frac{25}{53}}$$return {
["body"] = 60,
["id"] = "aZNrdY_1101_2211",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = 13.471698113208,
["objekt"] = {
["hodnota"] = {
["citatel"] = 714,
["jmenovatel"] = 53 },
["render"] = "\\frac{714}{53}",
["typ"] = "cislo" },
["tex"] = "13\\frac{25}{53}",
["x"] = 13,
["y"] = 25,
["z"] = 53 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.48",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-10 + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-10 + 7 + (-9)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "-10 + 7 + (-9) + 1\\frac{2}{5}",
["typ"] = "plus" },
["render"] = "\\frac{5}{-10 + 7 + (-9) + 1\\frac{2}{5}}",
["typ"] = "lomeno" },
["render"] = "13 - \\frac{5}{-10 + 7 + (-9) + 1\\frac{2}{5}}",
["typ"] = "minus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.49, bodu=40, $$\frac{8}{11 + (-15 - 10 \cdot 11)}=\textcolor{white}{-\frac{4}{57}}$$return {
["body"] = 40,
["id"] = "4UPEA6_1101_2211",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = -0.070175438596491,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 57 },
["render"] = "\\frac{8}{-114}",
["typ"] = "cislo" },
["tex"] = "-\\frac{4}{57}",
["y"] = -4,
["z"] = 57 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.49",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "10 \\cdot 11",
["typ"] = "krat" },
["render"] = "-15 - 10 \\cdot 11",
["typ"] = "minus" },
["render"] = "11 + (-15 - 10 \\cdot 11)",
["typ"] = "plus" },
["render"] = "\\frac{8}{11 + (-15 - 10 \\cdot 11)}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.5, bodu=62, $$2\frac{4}{10} + 15 + 14 - (11 + 15) \cdot 7=\textcolor{white}{-150{,}6}$$return {
["body"] = 62,
["id"] = "L6lh4e_1101_2211",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = -150.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -753,
["jmenovatel"] = 5 },
["render"] = "\\frac{-753}{5}",
["typ"] = "cislo" },
["tex"] = "-150\\frac{3}{5}",
["tex_float"] = "-150{,}6",
["x"] = -150,
["y"] = 3,
["z"] = 5 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{10} + 15",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "11 + 15",
["typ"] = "plus" },
["render"] = "(11 + 15)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(11 + 15) \\cdot 7",
["typ"] = "krat" },
["render"] = "14 - (11 + 15) \\cdot 7",
["typ"] = "minus" },
["render"] = "2\\frac{4}{10} + 15 + 14 - (11 + 15) \\cdot 7",
["typ"] = "plus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.51, bodu=94, $$\frac{(7 - 12)^4 \cdot 12 \cdot -13}{4\frac{2}{6}}=\textcolor{white}{-22500}$$return {
["body"] = 94,
["id"] = "7B9pyy_1101_2211",
["obtiznost"] = 0.9604,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -22500,
["jmenovatel"] = 1 },
["render"] = "\\frac{-292500}{13}",
["typ"] = "cislo" },
["tex"] = "-22500",
["x"] = -22500 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "7 - 12",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(7 - 12)^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "12 \\cdot -13",
["typ"] = "krat" },
["render"] = "(7 - 12)^4 \\cdot 12 \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{(7 - 12)^4 \\cdot 12 \\cdot -13}{4\\frac{2}{6}}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.52, bodu=64, $$\frac{-12}{6} \cdot \frac{3\frac{3}{6}}{9}=\textcolor{white}{-\frac{7}{9}}$$return {
["body"] = 64,
["id"] = "AiGJnq_1101_2211",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = -0.77777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 9 },
["render"] = "\\frac{-14}{18}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{9}",
["y"] = -7,
["z"] = 9 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{6}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{6}}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{-12}{6} \\cdot \\frac{3\\frac{3}{6}}{9}",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.53, bodu=90, $$\frac{5 + (-8) - (-15 \cdot 2\frac{1}{5})}{6 + 1\frac{5}{6}}=\textcolor{white}{3\frac{39}{47}}$$return {
["body"] = 90,
["id"] = "fg5OoJ_1101_2211",
["obtiznost"] = 0.93,
["reseni"] = {
["float"] = 3.8297872340426,
["objekt"] = {
["hodnota"] = {
["citatel"] = 180,
["jmenovatel"] = 47 },
["render"] = "\\frac{180}{47}",
["typ"] = "cislo" },
["tex"] = "3\\frac{39}{47}",
["x"] = 3,
["y"] = 39,
["z"] = 47 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "5 + (-8)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 2\\frac{1}{5}",
["typ"] = "krat" },
["render"] = "5 + (-8) - (-15 \\cdot 2\\frac{1}{5})",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "6 + 1\\frac{5}{6}",
["typ"] = "plus" },
["render"] = "\\frac{5 + (-8) - (-15 \\cdot 2\\frac{1}{5})}{6 + 1\\frac{5}{6}}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.54, bodu=67, $$(\frac{13}{1\frac{4}{8}} + (-9)) \cdot 3 \cdot 12=\textcolor{white}{-12}$$return {
["body"] = 67,
["id"] = "CPHLjJ_1101_2211",
["obtiznost"] = 0.74,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "\\frac{-36}{3}",
["typ"] = "cislo" },
["tex"] = "-12",
["x"] = -12 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.54",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{1\\frac{4}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{13}{1\\frac{4}{8}} + (-9)",
["typ"] = "plus" },
["render"] = "(\\frac{13}{1\\frac{4}{8}} + (-9))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3 \\cdot 12",
["typ"] = "krat" },
["render"] = "(\\frac{13}{1\\frac{4}{8}} + (-9)) \\cdot 3 \\cdot 12",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.55, bodu=46, $$\frac{9 + 16}{-6 \cdot 12 \cdot -11}=\textcolor{white}{\frac{25}{792}}$$return {
["body"] = 46,
["id"] = "bsQ5N5_1101_2211",
["obtiznost"] = 0.55,
["reseni"] = {
["float"] = 0.031565656565657,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 792 },
["render"] = "\\frac{25}{792}",
["typ"] = "cislo" },
["tex"] = "\\frac{25}{792}",
["y"] = 25,
["z"] = 792 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "9 + 16",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "12 \\cdot -11",
["typ"] = "krat" },
["render"] = "-6 \\cdot 12 \\cdot -11",
["typ"] = "krat" },
["render"] = "\\frac{9 + 16}{-6 \\cdot 12 \\cdot -11}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.56, bodu=94, $$\frac{3\frac{1}{2}}{-13 \cdot 2\frac{1}{7} \cdot 5}=\textcolor{white}{-\frac{49}{1950}}$$return {
["body"] = 94,
["id"] = "4nsGgz_1101_2211",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = -0.025128205128205,
["objekt"] = {
["hodnota"] = {
["citatel"] = -49,
["jmenovatel"] = 1950 },
["render"] = "\\frac{49}{-1950}",
["typ"] = "cislo" },
["tex"] = "-\\frac{49}{1950}",
["y"] = -49,
["z"] = 1950 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.56",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{7} \\cdot 5",
["typ"] = "krat" },
["render"] = "-13 \\cdot 2\\frac{1}{7} \\cdot 5",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{1}{2}}{-13 \\cdot 2\\frac{1}{7} \\cdot 5}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.57, bodu=24, $$11 \cdot -6 \cdot -15 + (-14 + (-18))=\textcolor{white}{958}$$return {
["body"] = 24,
["id"] = "JqdePj_1101_2211",
["obtiznost"] = 0.57,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 958,
["jmenovatel"] = 1 },
["render"] = "\\frac{958}{1}",
["typ"] = "cislo" },
["tex"] = "958",
["x"] = 958 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "11 \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "11 \\cdot -6 \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "-14 + (-18)",
["typ"] = "plus" },
["render"] = "11 \\cdot -6 \\cdot -15 + (-14 + (-18))",
["typ"] = "plus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.58, bodu=24, $$13 \cdot (-8 - 15) - (9 - 10)=\textcolor{white}{-298}$$return {
["body"] = 24,
["id"] = "hNmn9B_1101_2211",
["obtiznost"] = 0.58,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -298,
["jmenovatel"] = 1 },
["render"] = "\\frac{-298}{1}",
["typ"] = "cislo" },
["tex"] = "-298",
["tex_float"] = "-298",
["x"] = -298 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-8 - 15",
["typ"] = "minus" },
["render"] = "(-8 - 15)",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (-8 - 15)",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "9 - 10",
["typ"] = "minus" },
["render"] = "(9 - 10)",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (-8 - 15) - (9 - 10)",
["typ"] = "minus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.59, bodu=126, $$2\frac{1}{4} \cdot \frac{3\frac{1}{7} - 1\frac{2}{8} + 11}{-11}=\textcolor{white}{-2\frac{785}{1232}}$$return {
["body"] = 126,
["id"] = "oNuxN7_1101_2211",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = -2.6371753246753,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3249,
["jmenovatel"] = 1232 },
["render"] = "\\frac{-3249}{1232}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{785}{1232}",
["x"] = -2,
["y"] = 785,
["z"] = 1232 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.59",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{7} - 1\\frac{2}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{7} - 1\\frac{2}{8} + 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{7} - 1\\frac{2}{8} + 11}{-11}",
["typ"] = "lomeno" },
["render"] = "2\\frac{1}{4} \\cdot \\frac{3\\frac{1}{7} - 1\\frac{2}{8} + 11}{-11}",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.6, bodu=128, $$1\frac{2}{5} - (\frac{3\frac{4}{10}}{-11} - \frac{2\frac{2}{5}}{7})=\textcolor{white}{2\frac{4}{77}}$$return {
["body"] = 128,
["id"] = "SmYx9T_1101_2211",
["obtiznost"] = 1.2,
["reseni"] = {
["float"] = 2.0519480519481,
["objekt"] = {
["hodnota"] = {
["citatel"] = 158,
["jmenovatel"] = 77 },
["render"] = "\\frac{3950}{1925}",
["typ"] = "cislo" },
["tex"] = "2\\frac{4}{77}",
["x"] = 2,
["y"] = 4,
["z"] = 77 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.6",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{10}}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{5}}{7}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{4}{10}}{-11} - \\frac{2\\frac{2}{5}}{7}",
["typ"] = "minus" },
["render"] = "(\\frac{3\\frac{4}{10}}{-11} - \\frac{2\\frac{2}{5}}{7})",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{5} - (\\frac{3\\frac{4}{10}}{-11} - \\frac{2\\frac{2}{5}}{7})",
["typ"] = "minus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.61, bodu=75, $$11 \cdot (-8 - (-12) + 7 + 13 - 1\frac{2}{9})=\textcolor{white}{250\frac{5}{9}}$$return {
["body"] = 75,
["id"] = "oBDTs7_1101_2211",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = 250.55555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2255,
["jmenovatel"] = 9 },
["render"] = "\\frac{2255}{9}",
["typ"] = "cislo" },
["tex"] = "250\\frac{5}{9}",
["x"] = 250,
["y"] = 5,
["z"] = 9 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.61",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-8 - (-12)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "7 + 13",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "7 + 13 - 1\\frac{2}{9}",
["typ"] = "minus" },
["render"] = "-8 - (-12) + 7 + 13 - 1\\frac{2}{9}",
["typ"] = "plus" },
["render"] = "(-8 - (-12) + 7 + 13 - 1\\frac{2}{9})",
["typ"] = "zavorka" },
["render"] = "11 \\cdot (-8 - (-12) + 7 + 13 - 1\\frac{2}{9})",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.62, bodu=102, $$-18 \cdot 3\frac{1}{1} - 16 - \frac{4\frac{3}{9}}{-12 + 2\frac{5}{9}}=\textcolor{white}{-87\frac{46}{85}}$$return {
["body"] = 102,
["id"] = "kij9X0_1101_2211",
["obtiznost"] = 1.02,
["reseni"] = {
["float"] = -87.541176470588,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7441,
["jmenovatel"] = 85 },
["render"] = "\\frac{-7441}{85}",
["typ"] = "cislo" },
["tex"] = "-87\\frac{46}{85}",
["x"] = -87,
["y"] = 46,
["z"] = 85 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "3\\frac{1}{1}",
["typ"] = "cislo" },
["render"] = "-18 \\cdot 3\\frac{1}{1}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-18 \\cdot 3\\frac{1}{1} - 16",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-12 + 2\\frac{5}{9}",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{3}{9}}{-12 + 2\\frac{5}{9}}",
["typ"] = "lomeno" },
["render"] = "-18 \\cdot 3\\frac{1}{1} - 16 - \\frac{4\\frac{3}{9}}{-12 + 2\\frac{5}{9}}",
["typ"] = "minus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.63, bodu=78, $$(\frac{-17}{14} - (3\frac{4}{5} + 14)) \cdot 14 \cdot 13=\textcolor{white}{-3460{,}6}$$return {
["body"] = 78,
["id"] = "uoC79M_1101_2211",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = -3460.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17303,
["jmenovatel"] = 5 },
["render"] = "\\frac{-242242}{70}",
["typ"] = "cislo" },
["tex"] = "-3460\\frac{3}{5}",
["tex_float"] = "-3460{,}6",
["x"] = -3460,
["y"] = 3,
["z"] = 5 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.63",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{14}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{5} + 14",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{5} + 14)",
["typ"] = "zavorka" },
["render"] = "\\frac{-17}{14} - (3\\frac{4}{5} + 14)",
["typ"] = "minus" },
["render"] = "(\\frac{-17}{14} - (3\\frac{4}{5} + 14))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "14 \\cdot 13",
["typ"] = "krat" },
["render"] = "(\\frac{-17}{14} - (3\\frac{4}{5} + 14)) \\cdot 14 \\cdot 13",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.64, bodu=134, $$\frac{2\frac{2}{8}}{-19} \cdot 1\frac{5}{12} - (14 + 1\frac{2}{8} - (-7))=\textcolor{white}{-22\frac{127}{304}}$$return {
["body"] = 134,
["id"] = "bUlSDa_1101_2211",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = -22.417763157895,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6815,
["jmenovatel"] = 304 },
["render"] = "\\frac{-27260}{1216}",
["typ"] = "cislo" },
["tex"] = "-22\\frac{127}{304}",
["x"] = -22,
["y"] = 127,
["z"] = 304 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{8}}{-19}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{8}}{-19} \\cdot 1\\frac{5}{12}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{8} - (-7)",
["typ"] = "minus" },
["render"] = "14 + 1\\frac{2}{8} - (-7)",
["typ"] = "plus" },
["render"] = "(14 + 1\\frac{2}{8} - (-7))",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{2}{8}}{-19} \\cdot 1\\frac{5}{12} - (14 + 1\\frac{2}{8} - (-7))",
["typ"] = "minus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.65, bodu=57, $$(\frac{15}{-11} - (-16) - (10 + 15)) \cdot 16=\textcolor{white}{-165\frac{9}{11}}$$return {
["body"] = 57,
["id"] = "yGRD8E_1101_2211",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = -165.81818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1824,
["jmenovatel"] = 11 },
["render"] = "\\frac{-1824}{11}",
["typ"] = "cislo" },
["tex"] = "-165\\frac{9}{11}",
["x"] = -165,
["y"] = 9,
["z"] = 11 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.65",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{15}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{15}{-11} - (-16)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "10 + 15",
["typ"] = "plus" },
["render"] = "(10 + 15)",
["typ"] = "zavorka" },
["render"] = "\\frac{15}{-11} - (-16) - (10 + 15)",
["typ"] = "minus" },
["render"] = "(\\frac{15}{-11} - (-16) - (10 + 15))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "(\\frac{15}{-11} - (-16) - (10 + 15)) \\cdot 16",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.66, bodu=82, $$(-10 + (9 + (-12))^2) \cdot (6 - 4\frac{4}{12} - 5 + 16)=\textcolor{white}{-12\frac{2}{3}}$$return {
["body"] = 82,
["id"] = "dGWFzw_1101_2211",
["obtiznost"] = 0.864,
["reseni"] = {
["float"] = -12.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -38,
["jmenovatel"] = 3 },
["render"] = "\\frac{-38}{3}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{2}{3}",
["x"] = -12,
["y"] = 2,
["z"] = 3 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.66",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "9 + (-12)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(9 + (-12))^2",
["typ"] = "mocnina" },
["render"] = "-10 + (9 + (-12))^2",
["typ"] = "plus" },
["render"] = "(-10 + (9 + (-12))^2)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "6 - 4\\frac{4}{12}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 - 4\\frac{4}{12} - 5",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "6 - 4\\frac{4}{12} - 5 + 16",
["typ"] = "plus" },
["render"] = "(6 - 4\\frac{4}{12} - 5 + 16)",
["typ"] = "zavorka" },
["render"] = "(-10 + (9 + (-12))^2) \\cdot (6 - 4\\frac{4}{12} - 5 + 16)",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.67, bodu=138, $$\frac{17}{3\frac{2}{9}} + \frac{-11}{\frac{4\frac{1}{6}}{1\frac{2}{6}}}=\textcolor{white}{1\frac{548}{725}}$$return {
["body"] = 138,
["id"] = "iGZ6A1_1101_2211",
["obtiznost"] = 1.27,
["reseni"] = {
["float"] = 1.7558620689655,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1273,
["jmenovatel"] = 725 },
["render"] = "\\frac{1273}{725}",
["typ"] = "cislo" },
["tex"] = "1\\frac{548}{725}",
["x"] = 1,
["y"] = 548,
["z"] = 725 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{17}{3\\frac{2}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{6}}{1\\frac{2}{6}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-11}{\\frac{4\\frac{1}{6}}{1\\frac{2}{6}}}",
["typ"] = "lomeno" },
["render"] = "\\frac{17}{3\\frac{2}{9}} + \\frac{-11}{\\frac{4\\frac{1}{6}}{1\\frac{2}{6}}}",
["typ"] = "plus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.68, bodu=84, $$\frac{13}{10 - 9} \cdot (9 - 1\frac{5}{7})=\textcolor{white}{94\frac{5}{7}}$$return {
["body"] = 84,
["id"] = "y6NLfn_1101_2211",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = 94.714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 663,
["jmenovatel"] = 7 },
["render"] = "\\frac{663}{7}",
["typ"] = "cislo" },
["tex"] = "94\\frac{5}{7}",
["x"] = 94,
["y"] = 5,
["z"] = 7 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 - 9",
["typ"] = "minus" },
["render"] = "\\frac{13}{10 - 9}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "9 - 1\\frac{5}{7}",
["typ"] = "minus" },
["render"] = "(9 - 1\\frac{5}{7})",
["typ"] = "zavorka" },
["render"] = "\\frac{13}{10 - 9} \\cdot (9 - 1\\frac{5}{7})",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.69, bodu=92, $$(\frac{4}{11})^2 \cdot (7 \cdot (-17 - 2\frac{5}{9}) + 13)=\textcolor{white}{-16\frac{416}{1089}}$$return {
["body"] = 92,
["id"] = "2hYNzB_1101_2211",
["obtiznost"] = 0.9448,
["reseni"] = {
["float"] = -16.382001836547,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17840,
["jmenovatel"] = 1089 },
["render"] = "\\frac{-17840}{1089}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{416}{1089}",
["x"] = -16,
["y"] = 416,
["z"] = 1089 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.69",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{4}{11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{4}{11})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-17 - 2\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "(-17 - 2\\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (-17 - 2\\frac{5}{9})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "7 \\cdot (-17 - 2\\frac{5}{9}) + 13",
["typ"] = "plus" },
["render"] = "(7 \\cdot (-17 - 2\\frac{5}{9}) + 13)",
["typ"] = "zavorka" },
["render"] = "(\\frac{4}{11})^2 \\cdot (7 \\cdot (-17 - 2\\frac{5}{9}) + 13)",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.7, bodu=98, $$\frac{-17}{(\frac{10}{11 + 17})^2} - (11 - 3\frac{3}{11})=\textcolor{white}{-141\frac{2}{275}}$$return {
["body"] = 98,
["id"] = "bJPTjb_1101_2211",
["obtiznost"] = 0.9884,
["reseni"] = {
["float"] = -141.00727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = -38777,
["jmenovatel"] = 275 },
["render"] = "\\frac{-38777}{275}",
["typ"] = "cislo" },
["tex"] = "-141\\frac{2}{275}",
["x"] = -141,
["y"] = 2,
["z"] = 275 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "11 + 17",
["typ"] = "plus" },
["render"] = "\\frac{10}{11 + 17}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{11 + 17})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-17}{(\\frac{10}{11 + 17})^2}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "11 - 3\\frac{3}{11}",
["typ"] = "minus" },
["render"] = "(11 - 3\\frac{3}{11})",
["typ"] = "zavorka" },
["render"] = "\\frac{-17}{(\\frac{10}{11 + 17})^2} - (11 - 3\\frac{3}{11})",
["typ"] = "minus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.71, bodu=115, $$\frac{10 \cdot 1\frac{3}{7} \cdot -5}{3\frac{4}{10}} \cdot -5=\textcolor{white}{105\frac{5}{119}}$$return {
["body"] = 115,
["id"] = "RMzv2u_1101_2211",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = 105.04201680672,
["objekt"] = {
["hodnota"] = {
["citatel"] = 12500,
["jmenovatel"] = 119 },
["render"] = "\\frac{12500}{119}",
["typ"] = "cislo" },
["tex"] = "105\\frac{5}{119}",
["x"] = 105,
["y"] = 5,
["z"] = 119 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} \\cdot -5",
["typ"] = "krat" },
["render"] = "10 \\cdot 1\\frac{3}{7} \\cdot -5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{10 \\cdot 1\\frac{3}{7} \\cdot -5}{3\\frac{4}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{10 \\cdot 1\\frac{3}{7} \\cdot -5}{3\\frac{4}{10}} \\cdot -5",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.72, bodu=116, $$\frac{1\frac{3}{11}}{15} \cdot \frac{\frac{6}{3\frac{4}{10}}}{-10}=\textcolor{white}{-\frac{14}{935}}$$return {
["body"] = 116,
["id"] = "jMtOyk_1101_2211",
["obtiznost"] = 1.12,
["reseni"] = {
["float"] = -0.014973262032086,
["objekt"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 935 },
["render"] = "\\frac{-42}{2805}",
["typ"] = "cislo" },
["tex"] = "-\\frac{14}{935}",
["y"] = -14,
["z"] = 935 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{11}}{15}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{3\\frac{4}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{6}{3\\frac{4}{10}}}{-10}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{3}{11}}{15} \\cdot \\frac{\\frac{6}{3\\frac{4}{10}}}{-10}",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.73, bodu=118, $$\frac{\frac{1\frac{3}{12}}{3\frac{4}{8} + (-10)} \cdot -11}{2}=\textcolor{white}{1\frac{3}{52}}$$return {
["body"] = 118,
["id"] = "4qn81f_1101_2211",
["obtiznost"] = 1.13,
["reseni"] = {
["float"] = 1.0576923076923,
["objekt"] = {
["hodnota"] = {
["citatel"] = 55,
["jmenovatel"] = 52 },
["render"] = "\\frac{55}{52}",
["typ"] = "cislo" },
["tex"] = "1\\frac{3}{52}",
["x"] = 1,
["y"] = 3,
["z"] = 52 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} + (-10)",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{3}{12}}{3\\frac{4}{8} + (-10)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{12}}{3\\frac{4}{8} + (-10)} \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{3}{12}}{3\\frac{4}{8} + (-10)} \\cdot -11}{2}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.74, bodu=181, $$\frac{3\frac{3}{8} \cdot -17 - 1\frac{4}{9}}{2\frac{4}{10}} + 10 + 2\frac{1}{8}=\textcolor{white}{-12\frac{331}{864}}$$return {
["body"] = 181,
["id"] = "oAFodX_1101_2211",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = -12.383101851852,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10699,
["jmenovatel"] = 864 },
["render"] = "\\frac{-85592}{6912}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{331}{864}",
["x"] = -12,
["y"] = 331,
["z"] = 864 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{8} \\cdot -17",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{8} \\cdot -17 - 1\\frac{4}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{8} \\cdot -17 - 1\\frac{4}{9}}{2\\frac{4}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "10 + 2\\frac{1}{8}",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{3}{8} \\cdot -17 - 1\\frac{4}{9}}{2\\frac{4}{10}} + 10 + 2\\frac{1}{8}",
["typ"] = "plus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.75, bodu=93, $$9 \cdot 15 \cdot (-13 - 1\frac{4}{6} - 5)=\textcolor{white}{-2655}$$return {
["body"] = 93,
["id"] = "6x35y6_1101_2211",
["obtiznost"] = 0.95,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -2655,
["jmenovatel"] = 1 },
["render"] = "\\frac{-7965}{3}",
["typ"] = "cislo" },
["tex"] = "-2655",
["x"] = -2655 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "9 \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "-13 - 1\\frac{4}{6}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-13 - 1\\frac{4}{6} - 5",
["typ"] = "minus" },
["render"] = "(-13 - 1\\frac{4}{6} - 5)",
["typ"] = "zavorka" },
["render"] = "9 \\cdot 15 \\cdot (-13 - 1\\frac{4}{6} - 5)",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.76, bodu=152, $$\frac{3\frac{5}{14} \cdot -8}{3\frac{4}{9}} + \frac{4\frac{5}{9}}{-8}=\textcolor{white}{-8\frac{5729}{15624}}$$return {
["body"] = 152,
["id"] = "W4vvxJ_1101_2211",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = -8.3666794674859,
["objekt"] = {
["hodnota"] = {
["citatel"] = -130721,
["jmenovatel"] = 15624 },
["render"] = "\\frac{-130721}{15624}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{5729}{15624}",
["x"] = -8,
["y"] = 5729,
["z"] = 15624 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 14 },
["render"] = "3\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{14} \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{14} \\cdot -8}{3\\frac{4}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{9}}{-8}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{5}{14} \\cdot -8}{3\\frac{4}{9}} + \\frac{4\\frac{5}{9}}{-8}",
["typ"] = "plus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.77, bodu=103, $$\frac{-12}{\frac{-5 + (-9 + 21)^2}{2\frac{2}{5} - 9}}=\textcolor{white}{\frac{396}{695}}$$return {
["body"] = 103,
["id"] = "0NvcN0_1101_2211",
["obtiznost"] = 1.028,
["reseni"] = {
["float"] = 0.56978417266187,
["objekt"] = {
["hodnota"] = {
["citatel"] = 396,
["jmenovatel"] = 695 },
["render"] = "\\frac{-396}{-695}",
["typ"] = "cislo" },
["tex"] = "\\frac{396}{695}",
["y"] = 396,
["z"] = 695 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.77",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "-9 + 21",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-9 + 21)^2",
["typ"] = "mocnina" },
["render"] = "-5 + (-9 + 21)^2",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{5} - 9",
["typ"] = "minus" },
["render"] = "\\frac{-5 + (-9 + 21)^2}{2\\frac{2}{5} - 9}",
["typ"] = "lomeno" },
["render"] = "\\frac{-12}{\\frac{-5 + (-9 + 21)^2}{2\\frac{2}{5} - 9}}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.78, bodu=125, $$\frac{(11 - (-7)) \cdot -19}{4\frac{4}{8} - (1\frac{3}{7} - (-13))}=\textcolor{white}{34\frac{62}{139}}$$return {
["body"] = 125,
["id"] = "lvhWYq_1101_2211",
["obtiznost"] = 1.18,
["reseni"] = {
["float"] = 34.446043165468,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4788,
["jmenovatel"] = 139 },
["render"] = "\\frac{-4788}{-139}",
["typ"] = "cislo" },
["tex"] = "34\\frac{62}{139}",
["x"] = 34,
["y"] = 62,
["z"] = 139 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["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"] = "minus" },
["render"] = "(11 - (-7))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "(11 - (-7)) \\cdot -19",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} - (-13)",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{7} - (-13))",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{8} - (1\\frac{3}{7} - (-13))",
["typ"] = "minus" },
["render"] = "\\frac{(11 - (-7)) \\cdot -19}{4\\frac{4}{8} - (1\\frac{3}{7} - (-13))}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.79, bodu=126, $$13 - (4\frac{5}{10} - (12 \cdot 3\frac{4}{10} - 14) + (-15))=\textcolor{white}{50{,}3}$$return {
["body"] = 126,
["id"] = "jkK8T9_1101_2211",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = 50.3,
["objekt"] = {
["hodnota"] = {
["citatel"] = 503,
["jmenovatel"] = 10 },
["render"] = "\\frac{503}{10}",
["typ"] = "cislo" },
["tex"] = "50\\frac{3}{10}",
["tex_float"] = "50{,}3",
["x"] = 50,
["y"] = 3,
["z"] = 10 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.79",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 3\\frac{4}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "12 \\cdot 3\\frac{4}{10} - 14",
["typ"] = "minus" },
["render"] = "(12 \\cdot 3\\frac{4}{10} - 14)",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{10} - (12 \\cdot 3\\frac{4}{10} - 14)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{10} - (12 \\cdot 3\\frac{4}{10} - 14) + (-15)",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{10} - (12 \\cdot 3\\frac{4}{10} - 14) + (-15))",
["typ"] = "zavorka" },
["render"] = "13 - (4\\frac{5}{10} - (12 \\cdot 3\\frac{4}{10} - 14) + (-15))",
["typ"] = "minus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.8, bodu=159, $$4\frac{5}{12} + \frac{-6}{4\frac{5}{9}} \cdot \frac{10 - 1\frac{3}{10}}{-9}=\textcolor{white}{5\frac{1697}{2460}}$$return {
["body"] = 159,
["id"] = "ZKPCzC_1101_2211",
["obtiznost"] = 1.4,
["reseni"] = {
["float"] = 5.689837398374,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13997,
["jmenovatel"] = 2460 },
["render"] = "\\frac{13997}{2460}",
["typ"] = "cislo" },
["tex"] = "5\\frac{1697}{2460}",
["x"] = 5,
["y"] = 1697,
["z"] = 2460 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.8",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{4\\frac{5}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "10 - 1\\frac{3}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{10 - 1\\frac{3}{10}}{-9}",
["typ"] = "lomeno" },
["render"] = "\\frac{-6}{4\\frac{5}{9}} \\cdot \\frac{10 - 1\\frac{3}{10}}{-9}",
["typ"] = "krat" },
["render"] = "4\\frac{5}{12} + \\frac{-6}{4\\frac{5}{9}} \\cdot \\frac{10 - 1\\frac{3}{10}}{-9}",
["typ"] = "plus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.81, bodu=98, $$(17 + 4)^2 \cdot \frac{12}{-17} - (-11 \cdot -21)=\textcolor{white}{-542\frac{5}{17}}$$return {
["body"] = 98,
["id"] = "W0h4a4_1101_2211",
["obtiznost"] = 0.9868,
["reseni"] = {
["float"] = -542.29411764706,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9219,
["jmenovatel"] = 17 },
["render"] = "\\frac{-9219}{17}",
["typ"] = "cislo" },
["tex"] = "-542\\frac{5}{17}",
["x"] = -542,
["y"] = 5,
["z"] = 17 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "17 + 4",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(17 + 4)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-17}",
["typ"] = "lomeno" },
["render"] = "(17 + 4)^2 \\cdot \\frac{12}{-17}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "-11 \\cdot -21",
["typ"] = "krat" },
["render"] = "(17 + 4)^2 \\cdot \\frac{12}{-17} - (-11 \\cdot -21)",
["typ"] = "minus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.82, bodu=195, $$\frac{\frac{1\frac{1}{8}}{1\frac{5}{9}}}{\frac{-13}{3\frac{1}{7}} - 1\frac{4}{9}} + 8=\textcolor{white}{7\frac{53861}{61880}}$$return {
["body"] = 195,
["id"] = "bGEB3b_1101_2211",
["obtiznost"] = 1.62,
["reseni"] = {
["float"] = 7.8704104718811,
["objekt"] = {
["hodnota"] = {
["citatel"] = 487021,
["jmenovatel"] = 61880 },
["render"] = "\\frac{487021}{61880}",
["typ"] = "cislo" },
["tex"] = "7\\frac{53861}{61880}",
["x"] = 7,
["y"] = 53861,
["z"] = 61880 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{8}}{1\\frac{5}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{3\\frac{1}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{3\\frac{1}{7}} - 1\\frac{4}{9}",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{1\\frac{1}{8}}{1\\frac{5}{9}}}{\\frac{-13}{3\\frac{1}{7}} - 1\\frac{4}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{1}{8}}{1\\frac{5}{9}}}{\\frac{-13}{3\\frac{1}{7}} - 1\\frac{4}{9}} + 8",
["typ"] = "plus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.83, bodu=104, $$\frac{\frac{11}{12}}{-8} + \frac{15}{3\frac{1}{10}} - (-7)=\textcolor{white}{11\frac{2155}{2976}}$$return {
["body"] = 104,
["id"] = "DzbzT5_1101_2211",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = 11.724126344086,
["objekt"] = {
["hodnota"] = {
["citatel"] = 34891,
["jmenovatel"] = 2976 },
["render"] = "\\frac{34891}{2976}",
["typ"] = "cislo" },
["tex"] = "11\\frac{2155}{2976}",
["x"] = 11,
["y"] = 2155,
["z"] = 2976 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{11}{12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{11}{12}}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 10 },
["render"] = "3\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{3\\frac{1}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{11}{12}}{-8} + \\frac{15}{3\\frac{1}{10}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{11}{12}}{-8} + \\frac{15}{3\\frac{1}{10}} - (-7)",
["typ"] = "minus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.84, bodu=155, $$4\frac{5}{11} \cdot 15 \cdot -16 + (-18) - (\frac{4\frac{4}{10}}{6})^2=\textcolor{white}{-1087\frac{1556}{2475}}$$return {
["body"] = 155,
["id"] = "h2id77_1101_2211",
["obtiznost"] = 1.3784,
["reseni"] = {
["float"] = -1087.6286868687,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2691881,
["jmenovatel"] = 2475 },
["render"] = "\\frac{-2691881}{2475}",
["typ"] = "cislo" },
["tex"] = "-1087\\frac{1556}{2475}",
["x"] = -1087,
["y"] = 1556,
["z"] = 2475 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "15 \\cdot -16",
["typ"] = "krat" },
["render"] = "4\\frac{5}{11} \\cdot 15 \\cdot -16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{11} \\cdot 15 \\cdot -16 + (-18)",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{10}}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{4\\frac{4}{10}}{6})^2",
["typ"] = "mocnina" },
["render"] = "4\\frac{5}{11} \\cdot 15 \\cdot -16 + (-18) - (\\frac{4\\frac{4}{10}}{6})^2",
["typ"] = "minus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.85, bodu=135, $$(1\frac{3}{7} - (-18)) \cdot -12 - (2\frac{2}{5} + 15 \cdot -16)=\textcolor{white}{4\frac{16}{35}}$$return {
["body"] = 135,
["id"] = "qzZVdQ_1101_2211",
["obtiznost"] = 1.25,
["reseni"] = {
["float"] = 4.4571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 156,
["jmenovatel"] = 35 },
["render"] = "\\frac{156}{35}",
["typ"] = "cislo" },
["tex"] = "4\\frac{16}{35}",
["x"] = 4,
["y"] = 16,
["z"] = 35 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} - (-18)",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{7} - (-18))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(1\\frac{3}{7} - (-18)) \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "15 \\cdot -16",
["typ"] = "krat" },
["render"] = "2\\frac{2}{5} + 15 \\cdot -16",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{5} + 15 \\cdot -16)",
["typ"] = "zavorka" },
["render"] = "(1\\frac{3}{7} - (-18)) \\cdot -12 - (2\\frac{2}{5} + 15 \\cdot -16)",
["typ"] = "minus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.86, bodu=108, $$(-16 + 4 - (-17 - 9)) \cdot (-5 \cdot 21 - 2\frac{2}{10})=\textcolor{white}{-1500{,}8}$$return {
["body"] = 108,
["id"] = "dodssJ_1101_2211",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = -1500.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7504,
["jmenovatel"] = 5 },
["render"] = "\\frac{-7504}{5}",
["typ"] = "cislo" },
["tex"] = "-1500\\frac{4}{5}",
["tex_float"] = "-1500{,}8",
["x"] = -1500,
["y"] = 4,
["z"] = 5 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.86",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-16 + 4",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-17 - 9",
["typ"] = "minus" },
["render"] = "(-17 - 9)",
["typ"] = "zavorka" },
["render"] = "-16 + 4 - (-17 - 9)",
["typ"] = "minus" },
["render"] = "(-16 + 4 - (-17 - 9))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 21",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 21 - 2\\frac{2}{10}",
["typ"] = "minus" },
["render"] = "(-5 \\cdot 21 - 2\\frac{2}{10})",
["typ"] = "zavorka" },
["render"] = "(-16 + 4 - (-17 - 9)) \\cdot (-5 \\cdot 21 - 2\\frac{2}{10})",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.87, bodu=204, $$\frac{1\frac{1}{6} - (-19 \cdot 4\frac{1}{8} - 1\frac{5}{9})}{4\frac{4}{8} \cdot 7}=\textcolor{white}{2\frac{1303}{2268}}$$return {
["body"] = 204,
["id"] = "7WDffh_1101_2211",
["obtiznost"] = 1.67,
["reseni"] = {
["float"] = 2.5745149911817,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5839,
["jmenovatel"] = 2268 },
["render"] = "\\frac{11678}{4536}",
["typ"] = "cislo" },
["tex"] = "2\\frac{1303}{2268}",
["x"] = 2,
["y"] = 1303,
["z"] = 2268 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "-19 \\cdot 4\\frac{1}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-19 \\cdot 4\\frac{1}{8} - 1\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "(-19 \\cdot 4\\frac{1}{8} - 1\\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{6} - (-19 \\cdot 4\\frac{1}{8} - 1\\frac{5}{9})",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} \\cdot 7",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{1}{6} - (-19 \\cdot 4\\frac{1}{8} - 1\\frac{5}{9})}{4\\frac{4}{8} \\cdot 7}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.88, bodu=172, $$\frac{-12 \cdot (\frac{3\frac{1}{3}}{-16} + 4\frac{4}{12} + 2\frac{3}{11})}{-7}=\textcolor{white}{10\frac{149}{154}}$$return {
["body"] = 172,
["id"] = "zumQoV_1101_2211",
["obtiznost"] = 1.48,
["reseni"] = {
["float"] = 10.967532467532,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1689,
["jmenovatel"] = 154 },
["render"] = "\\frac{-1689}{-154}",
["typ"] = "cislo" },
["tex"] = "10\\frac{149}{154}",
["x"] = 10,
["y"] = 149,
["z"] = 154 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{3}}{-16}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{12} + 2\\frac{3}{11}",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{1}{3}}{-16} + 4\\frac{4}{12} + 2\\frac{3}{11}",
["typ"] = "plus" },
["render"] = "(\\frac{3\\frac{1}{3}}{-16} + 4\\frac{4}{12} + 2\\frac{3}{11})",
["typ"] = "zavorka" },
["render"] = "-12 \\cdot (\\frac{3\\frac{1}{3}}{-16} + 4\\frac{4}{12} + 2\\frac{3}{11})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-12 \\cdot (\\frac{3\\frac{1}{3}}{-16} + 4\\frac{4}{12} + 2\\frac{3}{11})}{-7}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.89, bodu=141, $$\frac{9}{17} \cdot \frac{1\frac{5}{14}}{-10} \cdot 1\frac{3}{10}=\textcolor{white}{-\frac{2223}{23800}}$$return {
["body"] = 141,
["id"] = "0wwKW3_1101_2211",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = -0.093403361344538,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2223,
["jmenovatel"] = 23800 },
["render"] = "\\frac{-2223}{23800}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2223}{23800}",
["y"] = -2223,
["z"] = 23800 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{9}{17}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 14 },
["render"] = "1\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{14}}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{14}}{-10} \\cdot 1\\frac{3}{10}",
["typ"] = "krat" },
["render"] = "\\frac{9}{17} \\cdot \\frac{1\\frac{5}{14}}{-10} \\cdot 1\\frac{3}{10}",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.9, bodu=175, $$\frac{-8 \cdot 11 + 20 - \frac{1\frac{5}{12} + 12}{4\frac{5}{14}}}{4\frac{5}{12}}=\textcolor{white}{-16\frac{302}{3233}}$$return {
["body"] = 175,
["id"] = "5wk9ot_1101_2211",
["obtiznost"] = 1.5,
["reseni"] = {
["float"] = -16.093411691927,
["objekt"] = {
["hodnota"] = {
["citatel"] = -52030,
["jmenovatel"] = 3233 },
["render"] = "\\frac{-312180}{19398}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{302}{3233}",
["x"] = -16,
["y"] = 302,
["z"] = 3233 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 11 + 20",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} + 12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 14 },
["render"] = "4\\frac{5}{14}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{12} + 12}{4\\frac{5}{14}}",
["typ"] = "lomeno" },
["render"] = "-8 \\cdot 11 + 20 - \\frac{1\\frac{5}{12} + 12}{4\\frac{5}{14}}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{-8 \\cdot 11 + 20 - \\frac{1\\frac{5}{12} + 12}{4\\frac{5}{14}}}{4\\frac{5}{12}}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.91, bodu=179, $$(\frac{14 - (15 + 8)}{4\frac{2}{13} \cdot -13} + 1\frac{1}{3})^3 \cdot 4\frac{2}{12}=\textcolor{white}{14\frac{1}{16}}$$return {
["body"] = 179,
["id"] = "yTPzHQ_1101_2211",
["obtiznost"] = 1.524,
["reseni"] = {
["float"] = 14.0625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 225,
["jmenovatel"] = 16 },
["render"] = "\\frac{675}{48}",
["typ"] = "cislo" },
["tex"] = "14\\frac{1}{16}",
["x"] = 14,
["y"] = 1,
["z"] = 16 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.91",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "15 + 8",
["typ"] = "plus" },
["render"] = "(15 + 8)",
["typ"] = "zavorka" },
["render"] = "14 - (15 + 8)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 54,
["jmenovatel"] = 13 },
["render"] = "4\\frac{2}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{13} \\cdot -13",
["typ"] = "krat" },
["render"] = "\\frac{14 - (15 + 8)}{4\\frac{2}{13} \\cdot -13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{14 - (15 + 8)}{4\\frac{2}{13} \\cdot -13} + 1\\frac{1}{3}",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(\\frac{14 - (15 + 8)}{4\\frac{2}{13} \\cdot -13} + 1\\frac{1}{3})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{2}{12}",
["typ"] = "cislo" },
["render"] = "(\\frac{14 - (15 + 8)}{4\\frac{2}{13} \\cdot -13} + 1\\frac{1}{3})^3 \\cdot 4\\frac{2}{12}",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.92, bodu=44, $$17 \cdot -7 \cdot -14 \cdot (4 - (-8 + (-18)))=\textcolor{white}{49980}$$return {
["body"] = 44,
["id"] = "MRnc5n_1101_2211",
["obtiznost"] = 0.92,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 49980,
["jmenovatel"] = 1 },
["render"] = "\\frac{49980}{1}",
["typ"] = "cislo" },
["tex"] = "49980",
["x"] = 49980 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.92",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-7 \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "-8 + (-18)",
["typ"] = "plus" },
["render"] = "(-8 + (-18))",
["typ"] = "zavorka" },
["render"] = "4 - (-8 + (-18))",
["typ"] = "minus" },
["render"] = "(4 - (-8 + (-18)))",
["typ"] = "zavorka" },
["render"] = "-7 \\cdot -14 \\cdot (4 - (-8 + (-18)))",
["typ"] = "krat" },
["render"] = "17 \\cdot -7 \\cdot -14 \\cdot (4 - (-8 + (-18)))",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.93, bodu=219, $$1\frac{3}{11} \cdot \frac{\frac{(\frac{4}{-16})^3}{3\frac{4}{10} + 3\frac{2}{7}}}{4\frac{5}{9}}=\textcolor{white}{-\frac{245}{375232}}$$return {
["body"] = 219,
["id"] = "eabmWB_1101_2211",
["obtiznost"] = 1.756,
["reseni"] = {
["float"] = -0.00065292938768549,
["objekt"] = {
["hodnota"] = {
["citatel"] = -245,
["jmenovatel"] = 375232 },
["render"] = "\\frac{-490}{750464}",
["typ"] = "cislo" },
["tex"] = "-\\frac{245}{375232}",
["y"] = -245,
["z"] = 375232 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.93",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{4}{-16}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{4}{-16})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} + 3\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "\\frac{(\\frac{4}{-16})^3}{3\\frac{4}{10} + 3\\frac{2}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{(\\frac{4}{-16})^3}{3\\frac{4}{10} + 3\\frac{2}{7}}}{4\\frac{5}{9}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{3}{11} \\cdot \\frac{\\frac{(\\frac{4}{-16})^3}{3\\frac{4}{10} + 3\\frac{2}{7}}}{4\\frac{5}{9}}",
["typ"] = "krat" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.94, bodu=149, $$\frac{-6 \cdot -14 \cdot 4\frac{4}{12}}{-8 \cdot 4\frac{2}{6} + 8}=\textcolor{white}{-13{,}65}$$return {
["body"] = 149,
["id"] = "fByUwJ_1101_2211",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = -13.65,
["objekt"] = {
["hodnota"] = {
["citatel"] = -273,
["jmenovatel"] = 20 },
["render"] = "\\frac{1092}{-80}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{13}{20}",
["tex_float"] = "-13{,}65",
["x"] = -13,
["y"] = 13,
["z"] = 20 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-6 \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "-6 \\cdot -14 \\cdot 4\\frac{4}{12}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 4\\frac{2}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 4\\frac{2}{6} + 8",
["typ"] = "plus" },
["render"] = "\\frac{-6 \\cdot -14 \\cdot 4\\frac{4}{12}}{-8 \\cdot 4\\frac{2}{6} + 8}",
["typ"] = "lomeno" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.95, bodu=218, $$4\frac{1}{10} \cdot 2\frac{3}{11} + 18 + 1\frac{4}{11} \cdot 21 - 3\frac{2}{5} + 15=\textcolor{white}{67\frac{61}{110}}$$return {
["body"] = 218,
["id"] = "FuSk6o_1101_2211",
["obtiznost"] = 1.75,
["reseni"] = {
["float"] = 67.554545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7431,
["jmenovatel"] = 110 },
["render"] = "\\frac{7431}{110}",
["typ"] = "cislo" },
["tex"] = "67\\frac{61}{110}",
["x"] = 67,
["y"] = 61,
["z"] = 110 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 10 },
["render"] = "4\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{10} \\cdot 2\\frac{3}{11}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{10} \\cdot 2\\frac{3}{11} + 18",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{11} \\cdot 21",
["typ"] = "krat" },
["render"] = "4\\frac{1}{10} \\cdot 2\\frac{3}{11} + 18 + 1\\frac{4}{11} \\cdot 21",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{10} \\cdot 2\\frac{3}{11} + 18 + 1\\frac{4}{11} \\cdot 21 - 3\\frac{2}{5}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{10} \\cdot 2\\frac{3}{11} + 18 + 1\\frac{4}{11} \\cdot 21 - 3\\frac{2}{5} + 15",
["typ"] = "plus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.96, bodu=144, $$(12 - 10)^2 - (-13) + \frac{9}{(13 - (3\frac{1}{9} + 8))^2}=\textcolor{white}{19\frac{151}{289}}$$return {
["body"] = 144,
["id"] = "ZKzEv2_1101_2211",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = 19.522491349481,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5642,
["jmenovatel"] = 289 },
["render"] = "\\frac{5642}{289}",
["typ"] = "cislo" },
["tex"] = "19\\frac{151}{289}",
["x"] = 19,
["y"] = 151,
["z"] = 289 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "12 - 10",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(12 - 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(12 - 10)^2 - (-13)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{9} + 8",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{9} + 8)",
["typ"] = "zavorka" },
["render"] = "13 - (3\\frac{1}{9} + 8)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(13 - (3\\frac{1}{9} + 8))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{9}{(13 - (3\\frac{1}{9} + 8))^2}",
["typ"] = "lomeno" },
["render"] = "(12 - 10)^2 - (-13) + \\frac{9}{(13 - (3\\frac{1}{9} + 8))^2}",
["typ"] = "plus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.97, bodu=221, $$(4\frac{1}{11} + 1\frac{2}{8}) \cdot 1\frac{4}{14} + (-13) + 2\frac{5}{14} + (-15 \cdot -5)=\textcolor{white}{71\frac{69}{308}}$$return {
["body"] = 221,
["id"] = "MSzC6m_1101_2211",
["obtiznost"] = 1.77,
["reseni"] = {
["float"] = 71.224025974026,
["objekt"] = {
["hodnota"] = {
["citatel"] = 21937,
["jmenovatel"] = 308 },
["render"] = "\\frac{307118}{4312}",
["typ"] = "cislo" },
["tex"] = "71\\frac{69}{308}",
["x"] = 71,
["y"] = 69,
["z"] = 308 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 11 },
["render"] = "4\\frac{1}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{11} + 1\\frac{2}{8}",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{11} + 1\\frac{2}{8})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{14}",
["typ"] = "cislo" },
["render"] = "(4\\frac{1}{11} + 1\\frac{2}{8}) \\cdot 1\\frac{4}{14}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(4\\frac{1}{11} + 1\\frac{2}{8}) \\cdot 1\\frac{4}{14} + (-13)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 14 },
["render"] = "2\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-15 \\cdot -5",
["typ"] = "krat" },
["render"] = "2\\frac{5}{14} + (-15 \\cdot -5)",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{11} + 1\\frac{2}{8}) \\cdot 1\\frac{4}{14} + (-13) + 2\\frac{5}{14} + (-15 \\cdot -5)",
["typ"] = "plus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.98, bodu=188, $$2\frac{5}{11} - 3\frac{3}{12} \cdot \frac{1\frac{2}{5}}{21 \cdot -16} + (-12)=\textcolor{white}{-9\frac{5617}{10560}}$$return {
["body"] = 188,
["id"] = "8rUczv_1101_2211",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = -9.5319128787879,
["objekt"] = {
["hodnota"] = {
["citatel"] = -100657,
["jmenovatel"] = 10560 },
["render"] = "\\frac{-100657}{10560}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{5617}{10560}",
["x"] = -9,
["y"] = 5617,
["z"] = 10560 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "21 \\cdot -16",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{2}{5}}{21 \\cdot -16}",
["typ"] = "lomeno" },
["render"] = "3\\frac{3}{12} \\cdot \\frac{1\\frac{2}{5}}{21 \\cdot -16}",
["typ"] = "krat" },
["render"] = "2\\frac{5}{11} - 3\\frac{3}{12} \\cdot \\frac{1\\frac{2}{5}}{21 \\cdot -16}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} - 3\\frac{3}{12} \\cdot \\frac{1\\frac{2}{5}}{21 \\cdot -16} + (-12)",
["typ"] = "plus" } }
seed: n5aDHcFLKLLlmJGVJf4E_0.99, bodu=190, $$\frac{(-8 - 2\frac{3}{10}) \cdot -18 + \frac{15}{11 + 2\frac{5}{8}}}{2\frac{4}{9}}=\textcolor{white}{76\frac{3547}{11990}}$$return {
["body"] = 190,
["id"] = "YQzbX5_1101_2211",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = 76.295829858215,
["objekt"] = {
["hodnota"] = {
["citatel"] = 914787,
["jmenovatel"] = 11990 },
["render"] = "\\frac{914787}{11990}",
["typ"] = "cislo" },
["tex"] = "76\\frac{3547}{11990}",
["x"] = 76,
["y"] = 3547,
["z"] = 11990 },
["seed"] = "n5aDHcFLKLLlmJGVJf4E_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "-8 - 2\\frac{3}{10}",
["typ"] = "minus" },
["render"] = "(-8 - 2\\frac{3}{10})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "(-8 - 2\\frac{3}{10}) \\cdot -18",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "11 + 2\\frac{5}{8}",
["typ"] = "plus" },
["render"] = "\\frac{15}{11 + 2\\frac{5}{8}}",
["typ"] = "lomeno" },
["render"] = "(-8 - 2\\frac{3}{10}) \\cdot -18 + \\frac{15}{11 + 2\\frac{5}{8}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{(-8 - 2\\frac{3}{10}) \\cdot -18 + \\frac{15}{11 + 2\\frac{5}{8}}}{2\\frac{4}{9}}",
["typ"] = "lomeno" } }
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Toothless_ecstatic_claps.gif: 
UJrA.gif: 
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