- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: t0gu0pMW3TI3V7DJp1oy_0, bodu=10, $$\frac{9 - 6 \cdot 5}{6}=\textcolor{white}{-3{,}5}$$return {
["body"] = 10,
["id"] = "ZIjBe8_0510_1440",
["obtiznost"] = 0,
["reseni"] = {
["float"] = -3.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 2 },
["render"] = "\\frac{-21}{6}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{1}{2}",
["tex_float"] = "-3{,}5",
["x"] = -3,
["y"] = 1,
["z"] = 2 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 \\cdot 5",
["typ"] = "krat" },
["render"] = "9 - 6 \\cdot 5",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{9 - 6 \\cdot 5}{6}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.01, bodu=6, $$(5 \cdot -3)^2 \cdot (7 - 9)^2=\textcolor{white}{900}$$return {
["body"] = 6,
["id"] = "Upa1an_0510_1440",
["obtiznost"] = 0.1024,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 900,
["jmenovatel"] = 1 },
["render"] = "\\frac{900}{1}",
["typ"] = "cislo" },
["tex"] = "900",
["tex_float"] = "900",
["x"] = 900 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.01",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "5 \\cdot -3",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(5 \\cdot -3)^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 - 9",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(7 - 9)^2",
["typ"] = "mocnina" },
["render"] = "(5 \\cdot -3)^2 \\cdot (7 - 9)^2",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.02, bodu=11, $$8 \cdot (-9 + 4)^4 - 6=\textcolor{white}{4994}$$return {
["body"] = 11,
["id"] = "qDEABH_0510_1440",
["obtiznost"] = 0.2704,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 4994,
["jmenovatel"] = 1 },
["render"] = "\\frac{4994}{1}",
["typ"] = "cislo" },
["tex"] = "4994",
["tex_float"] = "4994",
["x"] = 4994 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-9 + 4",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-9 + 4)^4",
["typ"] = "mocnina" },
["render"] = "8 \\cdot (-9 + 4)^4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 \\cdot (-9 + 4)^4 - 6",
["typ"] = "minus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.03, bodu=5, $$5 \cdot 7 + (-5 + 8)=\textcolor{white}{38}$$return {
["body"] = 5,
["id"] = "ShJLaN_0510_1440",
["obtiznost"] = 0.03,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 1 },
["render"] = "\\frac{38}{1}",
["typ"] = "cislo" },
["tex"] = "38",
["x"] = 38 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "5 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-5 + 8",
["typ"] = "plus" },
["render"] = "5 \\cdot 7 + (-5 + 8)",
["typ"] = "plus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.04, bodu=20, $$\frac{-7 \cdot 3}{4\frac{2}{4} - 8}=\textcolor{white}{6}$$return {
["body"] = 20,
["id"] = "29pGaN_0510_1440",
["obtiznost"] = 0.24,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "\\frac{-42}{-7}",
["typ"] = "cislo" },
["tex"] = "6",
["tex_float"] = "6",
["x"] = 6 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.04",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 3",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{4} - 8",
["typ"] = "minus" },
["render"] = "\\frac{-7 \\cdot 3}{4\\frac{2}{4} - 8}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.05, bodu=5, $$(4 - 8 + (5 - 4)^4)^3=\textcolor{white}{-27}$$return {
["body"] = 5,
["id"] = "iqBU00_0510_1440",
["obtiznost"] = 0.062,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -27,
["jmenovatel"] = 1 },
["render"] = "\\frac{-27}{1}",
["typ"] = "cislo" },
["tex"] = "-27",
["x"] = -27 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.05",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4 - 8",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "5 - 4",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(5 - 4)^4",
["typ"] = "mocnina" },
["render"] = "4 - 8 + (5 - 4)^4",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(4 - 8 + (5 - 4)^4)^3",
["typ"] = "mocnina" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.06, bodu=14, $$(3 + 6)^3 \cdot 5 - 6=\textcolor{white}{3639}$$return {
["body"] = 14,
["id"] = "qfKcxH_0510_1440",
["obtiznost"] = 0.352,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 3639,
["jmenovatel"] = 1 },
["render"] = "\\frac{3639}{1}",
["typ"] = "cislo" },
["tex"] = "3639",
["tex_float"] = "3639",
["x"] = 3639 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3 + 6",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(3 + 6)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(3 + 6)^3 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(3 + 6)^3 \\cdot 5 - 6",
["typ"] = "minus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.07, bodu=22, $$\frac{9 + 6 \cdot 9}{3\frac{1}{2}}=\textcolor{white}{18}$$return {
["body"] = 22,
["id"] = "NbQiz1_0510_1440",
["obtiznost"] = 0.27,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "\\frac{126}{7}",
["typ"] = "cislo" },
["tex"] = "18",
["tex_float"] = "18",
["x"] = 18 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "6 \\cdot 9",
["typ"] = "krat" },
["render"] = "9 + 6 \\cdot 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "\\frac{9 + 6 \\cdot 9}{3\\frac{1}{2}}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.08, bodu=12, $$\frac{4}{-9 + \frac{8}{9}}=\textcolor{white}{-\frac{36}{73}}$$return {
["body"] = 12,
["id"] = "ufIg9p_0510_1440",
["obtiznost"] = 0.08,
["reseni"] = {
["float"] = -0.49315068493151,
["objekt"] = {
["hodnota"] = {
["citatel"] = -36,
["jmenovatel"] = 73 },
["render"] = "\\frac{36}{-73}",
["typ"] = "cislo" },
["tex"] = "-\\frac{36}{73}",
["y"] = -36,
["z"] = 73 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.08",
["zadani"] = {
["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"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{8}{9}",
["typ"] = "lomeno" },
["render"] = "-9 + \\frac{8}{9}",
["typ"] = "plus" },
["render"] = "\\frac{4}{-9 + \\frac{8}{9}}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.09, bodu=6, $$-5 - (8 + 12 - 10)=\textcolor{white}{-15}$$return {
["body"] = 6,
["id"] = "PV7mn0_0510_1440",
["obtiznost"] = 0.09,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "\\frac{-15}{1}",
["typ"] = "cislo" },
["tex"] = "-15",
["x"] = -15 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["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"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 + 12 - 10",
["typ"] = "minus" },
["render"] = "(8 + 12 - 10)",
["typ"] = "zavorka" },
["render"] = "-5 - (8 + 12 - 10)",
["typ"] = "minus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.1, bodu=24, $$\frac{-10}{\frac{4}{2\frac{3}{5}} - (-4)}=\textcolor{white}{-1\frac{29}{36}}$$return {
["body"] = 24,
["id"] = "kzrYBv_0510_1440",
["obtiznost"] = 0.3,
["reseni"] = {
["float"] = -1.8055555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -65,
["jmenovatel"] = 36 },
["render"] = "\\frac{-130}{72}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{29}{36}",
["x"] = -1,
["y"] = 29,
["z"] = 36 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.1",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{4}{2\\frac{3}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{4}{2\\frac{3}{5}} - (-4)",
["typ"] = "minus" },
["render"] = "\\frac{-10}{\\frac{4}{2\\frac{3}{5}} - (-4)}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.11, bodu=13, $$(\frac{9}{9})^2 - (5 + 7)=\textcolor{white}{-11}$$return {
["body"] = 13,
["id"] = "acpKWm_0510_1440",
["obtiznost"] = 0.1108,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "\\frac{-11}{1}",
["typ"] = "cislo" },
["tex"] = "-11",
["x"] = -11 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.11",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{9}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{9}{9})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "5 + 7",
["typ"] = "plus" },
["render"] = "(5 + 7)",
["typ"] = "zavorka" },
["render"] = "(\\frac{9}{9})^2 - (5 + 7)",
["typ"] = "minus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.12, bodu=26, $$7 + 4\frac{3}{8} + \frac{-7}{-10}=\textcolor{white}{12{,}075}$$return {
["body"] = 26,
["id"] = "yqdH51_0510_1440",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = 12.075,
["objekt"] = {
["hodnota"] = {
["citatel"] = 483,
["jmenovatel"] = 40 },
["render"] = "\\frac{966}{80}",
["typ"] = "cislo" },
["tex"] = "12\\frac{3}{40}",
["tex_float"] = "12{,}075",
["x"] = 12,
["y"] = 3,
["z"] = 40 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.12",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "7 + 4\\frac{3}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{-10}",
["typ"] = "lomeno" },
["render"] = "7 + 4\\frac{3}{8} + \\frac{-7}{-10}",
["typ"] = "plus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.13, bodu=7, $$(-7 \cdot 6 - (-7)) \cdot 7=\textcolor{white}{-245}$$return {
["body"] = 7,
["id"] = "3qN9YM_0510_1440",
["obtiznost"] = 0.13,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -245,
["jmenovatel"] = 1 },
["render"] = "\\frac{-245}{1}",
["typ"] = "cislo" },
["tex"] = "-245",
["x"] = -245 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.13",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 6 - (-7)",
["typ"] = "minus" },
["render"] = "(-7 \\cdot 6 - (-7))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(-7 \\cdot 6 - (-7)) \\cdot 7",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.14, bodu=7, $$9 - (3 - 8 - 10)=\textcolor{white}{24}$$return {
["body"] = 7,
["id"] = "PEa9Ol_0510_1440",
["obtiznost"] = 0.14,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 1 },
["render"] = "\\frac{24}{1}",
["typ"] = "cislo" },
["tex"] = "24",
["tex_float"] = "24",
["x"] = 24 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.14",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3 - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3 - 8 - 10",
["typ"] = "minus" },
["render"] = "(3 - 8 - 10)",
["typ"] = "zavorka" },
["render"] = "9 - (3 - 8 - 10)",
["typ"] = "minus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.15, bodu=15, $$\frac{\frac{3}{13}}{10 - 9}=\textcolor{white}{\frac{3}{13}}$$return {
["body"] = 15,
["id"] = "lPJ5Dr_0510_1440",
["obtiznost"] = 0.15,
["reseni"] = {
["float"] = 0.23076923076923,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 13 },
["render"] = "\\frac{3}{13}",
["typ"] = "cislo" },
["tex"] = "\\frac{3}{13}",
["y"] = 3,
["z"] = 13 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{3}{13}",
["typ"] = "lomeno" },
["c2"] = {
["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{\\frac{3}{13}}{10 - 9}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.16, bodu=29, $$10 - 7 - (-8 + 3\frac{3}{6})=\textcolor{white}{7{,}5}$$return {
["body"] = 29,
["id"] = "rNOguC_0510_1440",
["obtiznost"] = 0.36,
["reseni"] = {
["float"] = 7.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 2 },
["render"] = "\\frac{15}{2}",
["typ"] = "cislo" },
["tex"] = "7\\frac{1}{2}",
["tex_float"] = "7{,}5",
["x"] = 7,
["y"] = 1,
["z"] = 2 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.16",
["zadani"] = {
["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"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "-8 + 3\\frac{3}{6}",
["typ"] = "plus" },
["render"] = "(-8 + 3\\frac{3}{6})",
["typ"] = "zavorka" },
["render"] = "10 - 7 - (-8 + 3\\frac{3}{6})",
["typ"] = "minus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.17, bodu=30, $$8 \cdot 12 - 8 - 3\frac{4}{8}=\textcolor{white}{84{,}5}$$return {
["body"] = 30,
["id"] = "UGkTN2_0510_1440",
["obtiznost"] = 0.37,
["reseni"] = {
["float"] = 84.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 169,
["jmenovatel"] = 2 },
["render"] = "\\frac{169}{2}",
["typ"] = "cislo" },
["tex"] = "84\\frac{1}{2}",
["tex_float"] = "84{,}5",
["x"] = 84,
["y"] = 1,
["z"] = 2 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "8 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 \\cdot 12 - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 12 - 8 - 3\\frac{4}{8}",
["typ"] = "minus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.18, bodu=16, $$\frac{9}{-9 - \frac{7}{10}}=\textcolor{white}{-\frac{90}{97}}$$return {
["body"] = 16,
["id"] = "5YiRRE_0510_1440",
["obtiznost"] = 0.18,
["reseni"] = {
["float"] = -0.92783505154639,
["objekt"] = {
["hodnota"] = {
["citatel"] = -90,
["jmenovatel"] = 97 },
["render"] = "\\frac{90}{-97}",
["typ"] = "cislo" },
["tex"] = "-\\frac{90}{97}",
["y"] = -90,
["z"] = 97 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{7}{10}",
["typ"] = "lomeno" },
["render"] = "-9 - \\frac{7}{10}",
["typ"] = "minus" },
["render"] = "\\frac{9}{-9 - \\frac{7}{10}}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.19, bodu=8, $$(7 + 8) \cdot (-10 - 6)=\textcolor{white}{-240}$$return {
["body"] = 8,
["id"] = "vdWaTK_0510_1440",
["obtiznost"] = 0.19,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -240,
["jmenovatel"] = 1 },
["render"] = "\\frac{-240}{1}",
["typ"] = "cislo" },
["tex"] = "-240",
["x"] = -240 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.19",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 + 8",
["typ"] = "plus" },
["render"] = "(7 + 8)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-10 - 6",
["typ"] = "minus" },
["render"] = "(-10 - 6)",
["typ"] = "zavorka" },
["render"] = "(7 + 8) \\cdot (-10 - 6)",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.2, bodu=32, $$\frac{-10 \cdot (3\frac{3}{7} + (-5))}{11 - 5}=\textcolor{white}{2\frac{13}{21}}$$return {
["body"] = 32,
["id"] = "gTgtje_0510_1440",
["obtiznost"] = 0.4,
["reseni"] = {
["float"] = 2.6190476190476,
["objekt"] = {
["hodnota"] = {
["citatel"] = 55,
["jmenovatel"] = 21 },
["render"] = "\\frac{110}{42}",
["typ"] = "cislo" },
["tex"] = "2\\frac{13}{21}",
["x"] = 2,
["y"] = 13,
["z"] = 21 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{7} + (-5)",
["typ"] = "plus" },
["render"] = "(3\\frac{3}{7} + (-5))",
["typ"] = "zavorka" },
["render"] = "-10 \\cdot (3\\frac{3}{7} + (-5))",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "11 - 5",
["typ"] = "minus" },
["render"] = "\\frac{-10 \\cdot (3\\frac{3}{7} + (-5))}{11 - 5}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.21, bodu=35, $$(\frac{10}{(10 \cdot (-11 + 1\frac{2}{4} - (-9)))^2})^2=\textcolor{white}{0{,}16}$$return {
["body"] = 35,
["id"] = "STpX95_0510_1440",
["obtiznost"] = 0.432,
["reseni"] = {
["float"] = 0.16,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 25 },
["render"] = "\\frac{4}{25}",
["typ"] = "cislo" },
["tex"] = "\\frac{4}{25}",
["tex_float"] = "0{,}16",
["y"] = 4,
["z"] = 25 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.21",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{4} - (-9)",
["typ"] = "minus" },
["render"] = "-11 + 1\\frac{2}{4} - (-9)",
["typ"] = "plus" },
["render"] = "(-11 + 1\\frac{2}{4} - (-9))",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (-11 + 1\\frac{2}{4} - (-9))",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(10 \\cdot (-11 + 1\\frac{2}{4} - (-9)))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{10}{(10 \\cdot (-11 + 1\\frac{2}{4} - (-9)))^2}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{(10 \\cdot (-11 + 1\\frac{2}{4} - (-9)))^2})^2",
["typ"] = "mocnina" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.22, bodu=19, $$\frac{6 \cdot 12}{6 + 7}=\textcolor{white}{5\frac{7}{13}}$$return {
["body"] = 19,
["id"] = "KTUQ9A_0510_1440",
["obtiznost"] = 0.22,
["reseni"] = {
["float"] = 5.5384615384615,
["objekt"] = {
["hodnota"] = {
["citatel"] = 72,
["jmenovatel"] = 13 },
["render"] = "\\frac{72}{13}",
["typ"] = "cislo" },
["tex"] = "5\\frac{7}{13}",
["x"] = 5,
["y"] = 7,
["z"] = 13 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "6 \\cdot 12",
["typ"] = "krat" },
["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{6 \\cdot 12}{6 + 7}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.23, bodu=35, $$-8 \cdot 6 - 8 \cdot 4\frac{5}{6}=\textcolor{white}{-86\frac{2}{3}}$$return {
["body"] = 35,
["id"] = "aTKMse_0510_1440",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = -86.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -260,
["jmenovatel"] = 3 },
["render"] = "\\frac{-260}{3}",
["typ"] = "cislo" },
["tex"] = "-86\\frac{2}{3}",
["x"] = -86,
["y"] = 2,
["z"] = 3 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 6 },
["render"] = "4\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 4\\frac{5}{6}",
["typ"] = "krat" },
["render"] = "-8 \\cdot 6 - 8 \\cdot 4\\frac{5}{6}",
["typ"] = "minus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.24, bodu=57, $$(\frac{4\frac{1}{5}}{-2})^2 \cdot 9 \cdot 9=\textcolor{white}{357{,}21}$$return {
["body"] = 57,
["id"] = "614A4j_0510_1440",
["obtiznost"] = 0.6564,
["reseni"] = {
["float"] = 357.21,
["objekt"] = {
["hodnota"] = {
["citatel"] = 35721,
["jmenovatel"] = 100 },
["render"] = "\\frac{35721}{100}",
["typ"] = "cislo" },
["tex"] = "357\\frac{21}{100}",
["tex_float"] = "357{,}21",
["x"] = 357,
["y"] = 21,
["z"] = 100 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{5}}{-2}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{4\\frac{1}{5}}{-2})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(\\frac{4\\frac{1}{5}}{-2})^2 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(\\frac{4\\frac{1}{5}}{-2})^2 \\cdot 9 \\cdot 9",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.25, bodu=37, $$(\frac{2\frac{5}{10} - (-8)}{8 - (-13)})^2=\textcolor{white}{0{,}25}$$return {
["body"] = 37,
["id"] = "FGJvLx_0510_1440",
["obtiznost"] = 0.452,
["reseni"] = {
["float"] = 0.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 4 },
["render"] = "\\frac{1}{4}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{4}",
["tex_float"] = "0{,}25",
["y"] = 1,
["z"] = 4 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.25",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} - (-8)",
["typ"] = "minus" },
["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{2\\frac{5}{10} - (-8)}{8 - (-13)}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{2\\frac{5}{10} - (-8)}{8 - (-13)})^2",
["typ"] = "mocnina" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.26, bodu=22, $$(\frac{9}{9 \cdot (9 - 11)})^2=\textcolor{white}{0{,}25}$$return {
["body"] = 22,
["id"] = "pyjgbv_0510_1440",
["obtiznost"] = 0.262,
["reseni"] = {
["float"] = 0.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 4 },
["render"] = "\\frac{1}{4}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{4}",
["tex_float"] = "0{,}25",
["y"] = 1,
["z"] = 4 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.26",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "9 - 11",
["typ"] = "minus" },
["render"] = "(9 - 11)",
["typ"] = "zavorka" },
["render"] = "9 \\cdot (9 - 11)",
["typ"] = "krat" },
["render"] = "\\frac{9}{9 \\cdot (9 - 11)}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{9}{9 \\cdot (9 - 11)})^2",
["typ"] = "mocnina" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.27, bodu=38, $$(12 - \frac{13}{11}) \cdot 4\frac{2}{3}=\textcolor{white}{50\frac{16}{33}}$$return {
["body"] = 38,
["id"] = "BkMrkb_0510_1440",
["obtiznost"] = 0.47,
["reseni"] = {
["float"] = 50.484848484848,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1666,
["jmenovatel"] = 33 },
["render"] = "\\frac{1666}{33}",
["typ"] = "cislo" },
["tex"] = "50\\frac{16}{33}",
["x"] = 50,
["y"] = 16,
["z"] = 33 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.27",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{13}{11}",
["typ"] = "lomeno" },
["render"] = "12 - \\frac{13}{11}",
["typ"] = "minus" },
["render"] = "(12 - \\frac{13}{11})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "(12 - \\frac{13}{11}) \\cdot 4\\frac{2}{3}",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.28, bodu=11, $$10 \cdot (9 \cdot 6 + 6)=\textcolor{white}{600}$$return {
["body"] = 11,
["id"] = "8Zvymf_0510_1440",
["obtiznost"] = 0.28,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 600,
["jmenovatel"] = 1 },
["render"] = "\\frac{600}{1}",
["typ"] = "cislo" },
["tex"] = "600",
["tex_float"] = "600",
["x"] = 600 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.28",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "9 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "9 \\cdot 6 + 6",
["typ"] = "plus" },
["render"] = "(9 \\cdot 6 + 6)",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (9 \\cdot 6 + 6)",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.29, bodu=24, $$4 \cdot \frac{\frac{8}{5}}{5}=\textcolor{white}{1{,}28}$$return {
["body"] = 24,
["id"] = "Gdq6nZ_0510_1440",
["obtiznost"] = 0.29,
["reseni"] = {
["float"] = 1.28,
["objekt"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 25 },
["render"] = "\\frac{32}{25}",
["typ"] = "cislo" },
["tex"] = "1\\frac{7}{25}",
["tex_float"] = "1{,}28",
["x"] = 1,
["y"] = 7,
["z"] = 25 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.29",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{8}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{8}{5}}{5}",
["typ"] = "lomeno" },
["render"] = "4 \\cdot \\frac{\\frac{8}{5}}{5}",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.3, bodu=42, $$(6 - 8)^4 - 11 \cdot 2\frac{4}{7}=\textcolor{white}{-12\frac{2}{7}}$$return {
["body"] = 42,
["id"] = "nIYlHi_0510_1440",
["obtiznost"] = 0.5068,
["reseni"] = {
["float"] = -12.285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -86,
["jmenovatel"] = 7 },
["render"] = "\\frac{-86}{7}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{2}{7}",
["x"] = -12,
["y"] = 2,
["z"] = 7 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.3",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 - 8",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(6 - 8)^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 2\\frac{4}{7}",
["typ"] = "krat" },
["render"] = "(6 - 8)^4 - 11 \\cdot 2\\frac{4}{7}",
["typ"] = "minus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.31, bodu=62, $$\frac{8 + 6 - (\frac{5}{7})^3}{2\frac{4}{9}}=\textcolor{white}{5\frac{4363}{7546}}$$return {
["body"] = 62,
["id"] = "W74j5z_0510_1440",
["obtiznost"] = 0.6972,
["reseni"] = {
["float"] = 5.5781871190034,
["objekt"] = {
["hodnota"] = {
["citatel"] = 42093,
["jmenovatel"] = 7546 },
["render"] = "\\frac{42093}{7546}",
["typ"] = "cislo" },
["tex"] = "5\\frac{4363}{7546}",
["x"] = 5,
["y"] = 4363,
["z"] = 7546 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{5}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{5}{7})^3",
["typ"] = "mocnina" },
["render"] = "8 + 6 - (\\frac{5}{7})^3",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{8 + 6 - (\\frac{5}{7})^3}{2\\frac{4}{9}}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.32, bodu=22, $$(-13 - (-12 - (11 - 12)^4 - (-8)))^3=\textcolor{white}{-512}$$return {
["body"] = 22,
["id"] = "F5DPRl_0510_1440",
["obtiznost"] = 0.526,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -512,
["jmenovatel"] = 1 },
["render"] = "\\frac{-512}{1}",
["typ"] = "cislo" },
["tex"] = "-512",
["x"] = -512 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.32",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "11 - 12",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(11 - 12)^4",
["typ"] = "mocnina" },
["render"] = "-12 - (11 - 12)^4",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-12 - (11 - 12)^4 - (-8)",
["typ"] = "minus" },
["render"] = "(-12 - (11 - 12)^4 - (-8))",
["typ"] = "zavorka" },
["render"] = "-13 - (-12 - (11 - 12)^4 - (-8))",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-13 - (-12 - (11 - 12)^4 - (-8)))^3",
["typ"] = "mocnina" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.33, bodu=44, $$2\frac{5}{6} \cdot \frac{7}{-10} \cdot 10=\textcolor{white}{-19\frac{5}{6}}$$return {
["body"] = 44,
["id"] = "PZWMlO_0510_1440",
["obtiznost"] = 0.53,
["reseni"] = {
["float"] = -19.833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -119,
["jmenovatel"] = 6 },
["render"] = "\\frac{-119}{6}",
["typ"] = "cislo" },
["tex"] = "-19\\frac{5}{6}",
["x"] = -19,
["y"] = 5,
["z"] = 6 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 6 },
["render"] = "2\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-10} \\cdot 10",
["typ"] = "krat" },
["render"] = "2\\frac{5}{6} \\cdot \\frac{7}{-10} \\cdot 10",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.34, bodu=76, $$\frac{(\frac{8}{10})^3}{4\frac{3}{8} + 2\frac{1}{4}}=\textcolor{white}{\frac{512}{6625}}$$return {
["body"] = 76,
["id"] = "W4rgUe_0510_1440",
["obtiznost"] = 0.8156,
["reseni"] = {
["float"] = 0.077283018867925,
["objekt"] = {
["hodnota"] = {
["citatel"] = 512,
["jmenovatel"] = 6625 },
["render"] = "\\frac{512}{6625}",
["typ"] = "cislo" },
["tex"] = "\\frac{512}{6625}",
["y"] = 512,
["z"] = 6625 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.34",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{8}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{8}{10})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} + 2\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "\\frac{(\\frac{8}{10})^3}{4\\frac{3}{8} + 2\\frac{1}{4}}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.35, bodu=28, $$8 \cdot \frac{-5}{-5} - 11=\textcolor{white}{-3}$$return {
["body"] = 28,
["id"] = "UUCUfX_0510_1440",
["obtiznost"] = 0.35,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "\\frac{-3}{1}",
["typ"] = "cislo" },
["tex"] = "-3",
["tex_float"] = "-3",
["x"] = -3 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{-5}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot \\frac{-5}{-5}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "8 \\cdot \\frac{-5}{-5} - 11",
["typ"] = "minus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.36, bodu=69, $$(\frac{4}{1\frac{5}{10} \cdot (11 - (13 + 5))})^2=\textcolor{white}{\frac{64}{441}}$$return {
["body"] = 69,
["id"] = "dRgtRo_0510_1440",
["obtiznost"] = 0.762,
["reseni"] = {
["float"] = 0.14512471655329,
["objekt"] = {
["hodnota"] = {
["citatel"] = 64,
["jmenovatel"] = 441 },
["render"] = "\\frac{64}{441}",
["typ"] = "cislo" },
["tex"] = "\\frac{64}{441}",
["y"] = 64,
["z"] = 441 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.36",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "13 + 5",
["typ"] = "plus" },
["render"] = "(13 + 5)",
["typ"] = "zavorka" },
["render"] = "11 - (13 + 5)",
["typ"] = "minus" },
["render"] = "(11 - (13 + 5))",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{10} \\cdot (11 - (13 + 5))",
["typ"] = "krat" },
["render"] = "\\frac{4}{1\\frac{5}{10} \\cdot (11 - (13 + 5))}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{4}{1\\frac{5}{10} \\cdot (11 - (13 + 5))})^2",
["typ"] = "mocnina" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.37, bodu=15, $$11 \cdot (-16 - (-5 - 7))=\textcolor{white}{-44}$$return {
["body"] = 15,
["id"] = "S6AVWt_0510_1440",
["obtiznost"] = 0.37,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -44,
["jmenovatel"] = 1 },
["render"] = "\\frac{-44}{1}",
["typ"] = "cislo" },
["tex"] = "-44",
["tex_float"] = "-44",
["x"] = -44 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.37",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-5 - 7",
["typ"] = "minus" },
["render"] = "(-5 - 7)",
["typ"] = "zavorka" },
["render"] = "-16 - (-5 - 7)",
["typ"] = "minus" },
["render"] = "(-16 - (-5 - 7))",
["typ"] = "zavorka" },
["render"] = "11 \\cdot (-16 - (-5 - 7))",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.38, bodu=71, $$3\frac{5}{9} \cdot (4\frac{5}{7} + 12) \cdot 9=\textcolor{white}{534\frac{6}{7}}$$return {
["body"] = 71,
["id"] = "zJoV1i_0510_1440",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = 534.85714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3744,
["jmenovatel"] = 7 },
["render"] = "\\frac{3744}{7}",
["typ"] = "cislo" },
["tex"] = "534\\frac{6}{7}",
["x"] = 534,
["y"] = 6,
["z"] = 7 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{7} + 12",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{7} + 12)",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{9} \\cdot (4\\frac{5}{7} + 12)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{9} \\cdot (4\\frac{5}{7} + 12) \\cdot 9",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.39, bodu=73, $$2\frac{5}{10} \cdot 12 \cdot (4 + 4\frac{5}{7} + 12)=\textcolor{white}{621\frac{3}{7}}$$return {
["body"] = 73,
["id"] = "2GklaK_0510_1440",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = 621.42857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4350,
["jmenovatel"] = 7 },
["render"] = "\\frac{4350}{7}",
["typ"] = "cislo" },
["tex"] = "621\\frac{3}{7}",
["x"] = 621,
["y"] = 3,
["z"] = 7 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{7} + 12",
["typ"] = "plus" },
["render"] = "4 + 4\\frac{5}{7} + 12",
["typ"] = "plus" },
["render"] = "(4 + 4\\frac{5}{7} + 12)",
["typ"] = "zavorka" },
["render"] = "2\\frac{5}{10} \\cdot 12 \\cdot (4 + 4\\frac{5}{7} + 12)",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.4, bodu=32, $$10 \cdot \frac{9 \cdot -5}{5}=\textcolor{white}{-90}$$return {
["body"] = 32,
["id"] = "gWFJk7_0510_1440",
["obtiznost"] = 0.4,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -90,
["jmenovatel"] = 1 },
["render"] = "\\frac{-90}{1}",
["typ"] = "cislo" },
["tex"] = "-90",
["tex_float"] = "-90",
["x"] = -90 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.4",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "9 \\cdot -5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{9 \\cdot -5}{5}",
["typ"] = "lomeno" },
["render"] = "10 \\cdot \\frac{9 \\cdot -5}{5}",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.41, bodu=101, $$\frac{7}{4\frac{1}{4} \cdot -9 + 4\frac{3}{8} + 4\frac{3}{7}}=\textcolor{white}{-\frac{392}{1649}}$$return {
["body"] = 101,
["id"] = "86JXwn_0510_1440",
["obtiznost"] = 1.01,
["reseni"] = {
["float"] = -0.23771983020012,
["objekt"] = {
["hodnota"] = {
["citatel"] = -392,
["jmenovatel"] = 1649 },
["render"] = "\\frac{392}{-1649}",
["typ"] = "cislo" },
["tex"] = "-\\frac{392}{1649}",
["y"] = -392,
["z"] = 1649 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.41",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{4} \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} + 4\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "4\\frac{1}{4} \\cdot -9 + 4\\frac{3}{8} + 4\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "\\frac{7}{4\\frac{1}{4} \\cdot -9 + 4\\frac{3}{8} + 4\\frac{3}{7}}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.42, bodu=53, $$\frac{12 + 10}{3\frac{5}{11} - 8} - (-16)=\textcolor{white}{11{,}16}$$return {
["body"] = 53,
["id"] = "0qM551_0510_1440",
["obtiznost"] = 0.62,
["reseni"] = {
["float"] = 11.16,
["objekt"] = {
["hodnota"] = {
["citatel"] = 279,
["jmenovatel"] = 25 },
["render"] = "\\frac{279}{25}",
["typ"] = "cislo" },
["tex"] = "11\\frac{4}{25}",
["tex_float"] = "11{,}16",
["x"] = 11,
["y"] = 4,
["z"] = 25 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "12 + 10",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} - 8",
["typ"] = "minus" },
["render"] = "\\frac{12 + 10}{3\\frac{5}{11} - 8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{12 + 10}{3\\frac{5}{11} - 8} - (-16)",
["typ"] = "minus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.43, bodu=39, $$(-5 + (10 \cdot 3)^2) \cdot (6 - 11)^3=\textcolor{white}{-111875}$$return {
["body"] = 39,
["id"] = "bXsimw_0510_1440",
["obtiznost"] = 0.8408,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -111875,
["jmenovatel"] = 1 },
["render"] = "\\frac{-111875}{1}",
["typ"] = "cislo" },
["tex"] = "-111875",
["x"] = -111875 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.43",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "10 \\cdot 3",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(10 \\cdot 3)^2",
["typ"] = "mocnina" },
["render"] = "-5 + (10 \\cdot 3)^2",
["typ"] = "plus" },
["render"] = "(-5 + (10 \\cdot 3)^2)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "6 - 11",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(6 - 11)^3",
["typ"] = "mocnina" },
["render"] = "(-5 + (10 \\cdot 3)^2) \\cdot (6 - 11)^3",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.44, bodu=58, $$(-10 + (14 - 6)^2) \cdot \frac{15}{4\frac{4}{7}}=\textcolor{white}{177\frac{3}{16}}$$return {
["body"] = 58,
["id"] = "yjGxH4_0510_1440",
["obtiznost"] = 0.666,
["reseni"] = {
["float"] = 177.1875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2835,
["jmenovatel"] = 16 },
["render"] = "\\frac{5670}{32}",
["typ"] = "cislo" },
["tex"] = "177\\frac{3}{16}",
["x"] = 177,
["y"] = 3,
["z"] = 16 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.44",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "14 - 6",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(14 - 6)^2",
["typ"] = "mocnina" },
["render"] = "-10 + (14 - 6)^2",
["typ"] = "plus" },
["render"] = "(-10 + (14 - 6)^2)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{4\\frac{4}{7}}",
["typ"] = "lomeno" },
["render"] = "(-10 + (14 - 6)^2) \\cdot \\frac{15}{4\\frac{4}{7}}",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.45, bodu=57, $$4\frac{3}{6} + 10 - (8 + (-15)) - 10 \cdot -9=\textcolor{white}{111{,}5}$$return {
["body"] = 57,
["id"] = "4uTqQC_0510_1440",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = 111.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 223,
["jmenovatel"] = 2 },
["render"] = "\\frac{223}{2}",
["typ"] = "cislo" },
["tex"] = "111\\frac{1}{2}",
["tex_float"] = "111{,}5",
["x"] = 111,
["y"] = 1,
["z"] = 2 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{6} + 10",
["typ"] = "plus" },
["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"] = "plus" },
["render"] = "(8 + (-15))",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{6} + 10 - (8 + (-15))",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "10 \\cdot -9",
["typ"] = "krat" },
["render"] = "4\\frac{3}{6} + 10 - (8 + (-15)) - 10 \\cdot -9",
["typ"] = "minus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.46, bodu=38, $$\frac{13 \cdot -13}{\frac{12}{-14}}=\textcolor{white}{197\frac{1}{6}}$$return {
["body"] = 38,
["id"] = "ocoC3g_0510_1440",
["obtiznost"] = 0.46,
["reseni"] = {
["float"] = 197.16666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1183,
["jmenovatel"] = 6 },
["render"] = "\\frac{-1183}{-6}",
["typ"] = "cislo" },
["tex"] = "197\\frac{1}{6}",
["x"] = 197,
["y"] = 1,
["z"] = 6 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "13 \\cdot -13",
["typ"] = "krat" },
["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"] = "\\frac{13 \\cdot -13}{\\frac{12}{-14}}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.47, bodu=135, $$\frac{2\frac{5}{6}}{(12 - (-9))^2} \cdot 2\frac{2}{8} \cdot 3\frac{4}{10}=\textcolor{white}{\frac{289}{5880}}$$return {
["body"] = 135,
["id"] = "BfhvxW_0510_1440",
["obtiznost"] = 1.2468,
["reseni"] = {
["float"] = 0.049149659863946,
["objekt"] = {
["hodnota"] = {
["citatel"] = 289,
["jmenovatel"] = 5880 },
["render"] = "\\frac{289}{5880}",
["typ"] = "cislo" },
["tex"] = "\\frac{289}{5880}",
["y"] = 289,
["z"] = 5880 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 6 },
["render"] = "2\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "12 - (-9)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(12 - (-9))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{2\\frac{5}{6}}{(12 - (-9))^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{6}}{(12 - (-9))^2} \\cdot 2\\frac{2}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{6}}{(12 - (-9))^2} \\cdot 2\\frac{2}{8} \\cdot 3\\frac{4}{10}",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.48, bodu=111, $$\frac{1\frac{3}{7}}{2\frac{3}{5}} \cdot \frac{11 + (-13)}{3\frac{5}{11}}=\textcolor{white}{-\frac{550}{1729}}$$return {
["body"] = 111,
["id"] = "gBQ75O_0510_1440",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = -0.3181029496819,
["objekt"] = {
["hodnota"] = {
["citatel"] = -550,
["jmenovatel"] = 1729 },
["render"] = "\\frac{-550}{1729}",
["typ"] = "cislo" },
["tex"] = "-\\frac{550}{1729}",
["y"] = -550,
["z"] = 1729 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{7}}{2\\frac{3}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "11 + (-13)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{11 + (-13)}{3\\frac{5}{11}}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{3}{7}}{2\\frac{3}{5}} \\cdot \\frac{11 + (-13)}{3\\frac{5}{11}}",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.49, bodu=61, $$\frac{-14 \cdot -8 + 9}{2\frac{5}{7} \cdot 15}=\textcolor{white}{2\frac{277}{285}}$$return {
["body"] = 61,
["id"] = "vzLc76_0510_1440",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = 2.9719298245614,
["objekt"] = {
["hodnota"] = {
["citatel"] = 847,
["jmenovatel"] = 285 },
["render"] = "\\frac{847}{285}",
["typ"] = "cislo" },
["tex"] = "2\\frac{277}{285}",
["x"] = 2,
["y"] = 277,
["z"] = 285 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-14 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-14 \\cdot -8 + 9",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{7} \\cdot 15",
["typ"] = "krat" },
["render"] = "\\frac{-14 \\cdot -8 + 9}{2\\frac{5}{7} \\cdot 15}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.5, bodu=124, $$\frac{10 \cdot -13}{(3\frac{2}{6} + (-12))^2} \cdot 3\frac{2}{5}=\textcolor{white}{-5\frac{23}{26}}$$return {
["body"] = 124,
["id"] = "OvSEox_0510_1440",
["obtiznost"] = 1.174,
["reseni"] = {
["float"] = -5.8846153846154,
["objekt"] = {
["hodnota"] = {
["citatel"] = -153,
["jmenovatel"] = 26 },
["render"] = "\\frac{-765}{130}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{23}{26}",
["x"] = -5,
["y"] = 23,
["z"] = 26 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "10 \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} + (-12)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{2}{6} + (-12))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{10 \\cdot -13}{(3\\frac{2}{6} + (-12))^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{10 \\cdot -13}{(3\\frac{2}{6} + (-12))^2} \\cdot 3\\frac{2}{5}",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.51, bodu=63, $$18 + (-11) - \frac{3\frac{2}{9}}{16} - 10=\textcolor{white}{-3\frac{29}{144}}$$return {
["body"] = 63,
["id"] = "aZSgrM_0510_1440",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = -3.2013888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -461,
["jmenovatel"] = 144 },
["render"] = "\\frac{-461}{144}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{29}{144}",
["x"] = -3,
["y"] = 29,
["z"] = 144 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "18 + (-11)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{9}}{16}",
["typ"] = "lomeno" },
["render"] = "18 + (-11) - \\frac{3\\frac{2}{9}}{16}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "18 + (-11) - \\frac{3\\frac{2}{9}}{16} - 10",
["typ"] = "minus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.52, bodu=123, $$2\frac{2}{4} - \frac{4\frac{2}{8}}{9} + (-11 + 6)^3 - 3\frac{1}{5}=\textcolor{white}{-126\frac{31}{180}}$$return {
["body"] = 123,
["id"] = "2Gw1on_0510_1440",
["obtiznost"] = 1.1704,
["reseni"] = {
["float"] = -126.17222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -22711,
["jmenovatel"] = 180 },
["render"] = "\\frac{-22711}{180}",
["typ"] = "cislo" },
["tex"] = "-126\\frac{31}{180}",
["x"] = -126,
["y"] = 31,
["z"] = 180 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{8}}{9}",
["typ"] = "lomeno" },
["render"] = "2\\frac{2}{4} - \\frac{4\\frac{2}{8}}{9}",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-11 + 6",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-11 + 6)^3",
["typ"] = "mocnina" },
["render"] = "2\\frac{2}{4} - \\frac{4\\frac{2}{8}}{9} + (-11 + 6)^3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} - \\frac{4\\frac{2}{8}}{9} + (-11 + 6)^3 - 3\\frac{1}{5}",
["typ"] = "minus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.53, bodu=66, $$\frac{\frac{4\frac{5}{9} + 11}{7}}{4 - 5}=\textcolor{white}{-2\frac{2}{9}}$$return {
["body"] = 66,
["id"] = "CW7gP4_0510_1440",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = -2.2222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 9 },
["render"] = "\\frac{20}{-9}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{2}{9}",
["x"] = -2,
["y"] = 2,
["z"] = 9 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{9} + 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{9} + 11}{7}",
["typ"] = "lomeno" },
["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{\\frac{4\\frac{5}{9} + 11}{7}}{4 - 5}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.54, bodu=22, $$-4 \cdot (16 - (-12 - (-11 - (-11))^4))=\textcolor{white}{-112}$$return {
["body"] = 22,
["id"] = "XI69Tz_0510_1440",
["obtiznost"] = 0.5404,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -112,
["jmenovatel"] = 1 },
["render"] = "\\frac{-112}{1}",
["typ"] = "cislo" },
["tex"] = "-112",
["x"] = -112 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.54",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-11 - (-11)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-11 - (-11))^4",
["typ"] = "mocnina" },
["render"] = "-12 - (-11 - (-11))^4",
["typ"] = "minus" },
["render"] = "(-12 - (-11 - (-11))^4)",
["typ"] = "zavorka" },
["render"] = "16 - (-12 - (-11 - (-11))^4)",
["typ"] = "minus" },
["render"] = "(16 - (-12 - (-11 - (-11))^4))",
["typ"] = "zavorka" },
["render"] = "-4 \\cdot (16 - (-12 - (-11 - (-11))^4))",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.55, bodu=120, $$\frac{4\frac{2}{5} \cdot 1\frac{5}{11}}{8} - (3\frac{4}{9} - (-15))=\textcolor{white}{-17\frac{29}{45}}$$return {
["body"] = 120,
["id"] = "1g7dHD_0510_1440",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = -17.644444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -794,
["jmenovatel"] = 45 },
["render"] = "\\frac{-794}{45}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{29}{45}",
["x"] = -17,
["y"] = 29,
["z"] = 45 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} \\cdot 1\\frac{5}{11}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{5} \\cdot 1\\frac{5}{11}}{8}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{9} - (-15)",
["typ"] = "minus" },
["render"] = "(3\\frac{4}{9} - (-15))",
["typ"] = "zavorka" },
["render"] = "\\frac{4\\frac{2}{5} \\cdot 1\\frac{5}{11}}{8} - (3\\frac{4}{9} - (-15))",
["typ"] = "minus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.56, bodu=94, $$\frac{-11 \cdot 3\frac{4}{7}}{8} \cdot 4\frac{5}{8}=\textcolor{white}{-22\frac{319}{448}}$$return {
["body"] = 94,
["id"] = "Flnsyh_0510_1440",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = -22.712053571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10175,
["jmenovatel"] = 448 },
["render"] = "\\frac{-10175}{448}",
["typ"] = "cislo" },
["tex"] = "-22\\frac{319}{448}",
["x"] = -22,
["y"] = 319,
["z"] = 448 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 3\\frac{4}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-11 \\cdot 3\\frac{4}{7}}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-11 \\cdot 3\\frac{4}{7}}{8} \\cdot 4\\frac{5}{8}",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.57, bodu=70, $$\frac{6 + (-9) - (11 - 2\frac{2}{6})}{6 + (-12)}=\textcolor{white}{1\frac{17}{18}}$$return {
["body"] = 70,
["id"] = "uXO55J_0510_1440",
["obtiznost"] = 0.77,
["reseni"] = {
["float"] = 1.9444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 18 },
["render"] = "\\frac{-35}{-18}",
["typ"] = "cislo" },
["tex"] = "1\\frac{17}{18}",
["x"] = 1,
["y"] = 17,
["z"] = 18 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "6 + (-9)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "11 - 2\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "(11 - 2\\frac{2}{6})",
["typ"] = "zavorka" },
["render"] = "6 + (-9) - (11 - 2\\frac{2}{6})",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "6 + (-12)",
["typ"] = "plus" },
["render"] = "\\frac{6 + (-9) - (11 - 2\\frac{2}{6})}{6 + (-12)}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.58, bodu=97, $$3\frac{2}{6} + (-14 \cdot 1\frac{5}{9}) - (-10 \cdot 14)=\textcolor{white}{121\frac{5}{9}}$$return {
["body"] = 97,
["id"] = "UAtyua_0510_1440",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = 121.55555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1094,
["jmenovatel"] = 9 },
["render"] = "\\frac{1094}{9}",
["typ"] = "cislo" },
["tex"] = "121\\frac{5}{9}",
["x"] = 121,
["y"] = 5,
["z"] = 9 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 1\\frac{5}{9}",
["typ"] = "krat" },
["render"] = "3\\frac{2}{6} + (-14 \\cdot 1\\frac{5}{9})",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 14",
["typ"] = "krat" },
["render"] = "3\\frac{2}{6} + (-14 \\cdot 1\\frac{5}{9}) - (-10 \\cdot 14)",
["typ"] = "minus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.59, bodu=73, $$(\frac{\frac{15}{14}}{2} - 3\frac{4}{10}) \cdot 14=\textcolor{white}{-40{,}1}$$return {
["body"] = 73,
["id"] = "OjOIGi_0510_1440",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = -40.1,
["objekt"] = {
["hodnota"] = {
["citatel"] = -401,
["jmenovatel"] = 10 },
["render"] = "\\frac{-5614}{140}",
["typ"] = "cislo" },
["tex"] = "-40\\frac{1}{10}",
["tex_float"] = "-40{,}1",
["x"] = -40,
["y"] = 1,
["z"] = 10 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.59",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{15}{14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{15}{14}}{2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{15}{14}}{2} - 3\\frac{4}{10}",
["typ"] = "minus" },
["render"] = "(\\frac{\\frac{15}{14}}{2} - 3\\frac{4}{10})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "(\\frac{\\frac{15}{14}}{2} - 3\\frac{4}{10}) \\cdot 14",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.6, bodu=74, $$7 - (-18 - (\frac{1\frac{3}{8}}{-15} + (-20)) \cdot 4)=\textcolor{white}{-55\frac{11}{30}}$$return {
["body"] = 74,
["id"] = "6Wc3zN_0510_1440",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = -55.366666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1661,
["jmenovatel"] = 30 },
["render"] = "\\frac{-1661}{30}",
["typ"] = "cislo" },
["tex"] = "-55\\frac{11}{30}",
["x"] = -55,
["y"] = 11,
["z"] = 30 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.6",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{8}}{-15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{8}}{-15} + (-20)",
["typ"] = "plus" },
["render"] = "(\\frac{1\\frac{3}{8}}{-15} + (-20))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(\\frac{1\\frac{3}{8}}{-15} + (-20)) \\cdot 4",
["typ"] = "krat" },
["render"] = "-18 - (\\frac{1\\frac{3}{8}}{-15} + (-20)) \\cdot 4",
["typ"] = "minus" },
["render"] = "(-18 - (\\frac{1\\frac{3}{8}}{-15} + (-20)) \\cdot 4)",
["typ"] = "zavorka" },
["render"] = "7 - (-18 - (\\frac{1\\frac{3}{8}}{-15} + (-20)) \\cdot 4)",
["typ"] = "minus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.61, bodu=160, $$-10 - 14 + 17 + 1\frac{4}{8} + 4\frac{5}{8} - 1\frac{1}{6} - 1\frac{3}{6}=\textcolor{white}{-3\frac{13}{24}}$$return {
["body"] = 160,
["id"] = "RSj31j_0510_1440",
["obtiznost"] = 1.41,
["reseni"] = {
["float"] = -3.5416666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -85,
["jmenovatel"] = 24 },
["render"] = "\\frac{-85}{24}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{13}{24}",
["x"] = -3,
["y"] = 13,
["z"] = 24 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-10 - 14",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "17 + 1\\frac{4}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{8} - 1\\frac{1}{6}",
["typ"] = "minus" },
["render"] = "17 + 1\\frac{4}{8} + 4\\frac{5}{8} - 1\\frac{1}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "17 + 1\\frac{4}{8} + 4\\frac{5}{8} - 1\\frac{1}{6} - 1\\frac{3}{6}",
["typ"] = "minus" },
["render"] = "-10 - 14 + 17 + 1\\frac{4}{8} + 4\\frac{5}{8} - 1\\frac{1}{6} - 1\\frac{3}{6}",
["typ"] = "plus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.62, bodu=78, $$-13 \cdot (\frac{1\frac{5}{10} \cdot -10}{-10})^3 \cdot 11=\textcolor{white}{-482{,}625}$$return {
["body"] = 78,
["id"] = "Fe70xq_0510_1440",
["obtiznost"] = 0.834,
["reseni"] = {
["float"] = -482.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3861,
["jmenovatel"] = 8 },
["render"] = "\\frac{-3861}{8}",
["typ"] = "cislo" },
["tex"] = "-482\\frac{5}{8}",
["tex_float"] = "-482{,}625",
["x"] = -482,
["y"] = 5,
["z"] = 8 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{10} \\cdot -10}{-10}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{1\\frac{5}{10} \\cdot -10}{-10})^3",
["typ"] = "mocnina" },
["render"] = "-13 \\cdot (\\frac{1\\frac{5}{10} \\cdot -10}{-10})^3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-13 \\cdot (\\frac{1\\frac{5}{10} \\cdot -10}{-10})^3 \\cdot 11",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.63, bodu=104, $$(4\frac{1}{7} + \frac{-18}{13 - (-15)} - 8) \cdot 3\frac{3}{9}=\textcolor{white}{-15}$$return {
["body"] = 104,
["id"] = "q7KRlD_0510_1440",
["obtiznost"] = 1.03,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "\\frac{-90}{6}",
["typ"] = "cislo" },
["tex"] = "-15",
["tex_float"] = "-15",
["x"] = -15 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.63",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "13 - (-15)",
["typ"] = "minus" },
["render"] = "\\frac{-18}{13 - (-15)}",
["typ"] = "lomeno" },
["render"] = "4\\frac{1}{7} + \\frac{-18}{13 - (-15)}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{7} + \\frac{-18}{13 - (-15)} - 8",
["typ"] = "minus" },
["render"] = "(4\\frac{1}{7} + \\frac{-18}{13 - (-15)} - 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "(4\\frac{1}{7} + \\frac{-18}{13 - (-15)} - 8) \\cdot 3\\frac{3}{9}",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.64, bodu=79, $$12 - ((-9 + 7)^3 - 2\frac{2}{5}) - (-8 + 9 - 10)=\textcolor{white}{31{,}4}$$return {
["body"] = 79,
["id"] = "mscYyu_0510_1440",
["obtiznost"] = 0.8436,
["reseni"] = {
["float"] = 31.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 157,
["jmenovatel"] = 5 },
["render"] = "\\frac{157}{5}",
["typ"] = "cislo" },
["tex"] = "31\\frac{2}{5}",
["tex_float"] = "31{,}4",
["x"] = 31,
["y"] = 2,
["z"] = 5 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-9 + 7",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-9 + 7)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "(-9 + 7)^3 - 2\\frac{2}{5}",
["typ"] = "minus" },
["render"] = "((-9 + 7)^3 - 2\\frac{2}{5})",
["typ"] = "zavorka" },
["render"] = "12 - ((-9 + 7)^3 - 2\\frac{2}{5})",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["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"] = "-8 + 9 - 10",
["typ"] = "plus" },
["render"] = "(-8 + 9 - 10)",
["typ"] = "zavorka" },
["render"] = "12 - ((-9 + 7)^3 - 2\\frac{2}{5}) - (-8 + 9 - 10)",
["typ"] = "minus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.65, bodu=57, $$(\frac{-11}{4} - (-16)) \cdot -3 \cdot 12=\textcolor{white}{-477}$$return {
["body"] = 57,
["id"] = "KVHT3E_0510_1440",
["obtiznost"] = 0.65,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -477,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1908}{4}",
["typ"] = "cislo" },
["tex"] = "-477",
["tex_float"] = "-477",
["x"] = -477 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.65",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{4} - (-16)",
["typ"] = "minus" },
["render"] = "(\\frac{-11}{4} - (-16))",
["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{-11}{4} - (-16)) \\cdot -3 \\cdot 12",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.66, bodu=111, $$13 - (\frac{1\frac{2}{4}}{-12})^2 \cdot \frac{10}{4\frac{3}{7}}=\textcolor{white}{12\frac{957}{992}}$$return {
["body"] = 111,
["id"] = "PHZT97_0510_1440",
["obtiznost"] = 1.086,
["reseni"] = {
["float"] = 12.964717741935,
["objekt"] = {
["hodnota"] = {
["citatel"] = 12861,
["jmenovatel"] = 992 },
["render"] = "\\frac{12861}{992}",
["typ"] = "cislo" },
["tex"] = "12\\frac{957}{992}",
["x"] = 12,
["y"] = 957,
["z"] = 992 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.66",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{4}}{-12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{1\\frac{2}{4}}{-12})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{4\\frac{3}{7}}",
["typ"] = "lomeno" },
["render"] = "(\\frac{1\\frac{2}{4}}{-12})^2 \\cdot \\frac{10}{4\\frac{3}{7}}",
["typ"] = "krat" },
["render"] = "13 - (\\frac{1\\frac{2}{4}}{-12})^2 \\cdot \\frac{10}{4\\frac{3}{7}}",
["typ"] = "minus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.67, bodu=59, $$7 \cdot \frac{13}{6} - (-11 \cdot 12)=\textcolor{white}{147\frac{1}{6}}$$return {
["body"] = 59,
["id"] = "PYZOLs_0510_1440",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = 147.16666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 883,
["jmenovatel"] = 6 },
["render"] = "\\frac{883}{6}",
["typ"] = "cislo" },
["tex"] = "147\\frac{1}{6}",
["x"] = 147,
["y"] = 1,
["z"] = 6 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{13}{6}",
["typ"] = "lomeno" },
["render"] = "7 \\cdot \\frac{13}{6}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 12",
["typ"] = "krat" },
["render"] = "7 \\cdot \\frac{13}{6} - (-11 \\cdot 12)",
["typ"] = "minus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.68, bodu=84, $$\frac{-10}{2\frac{4}{10} \cdot -15 \cdot -16 \cdot -10}=\textcolor{white}{\frac{1}{576}}$$return {
["body"] = 84,
["id"] = "mQ3wJm_0510_1440",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = 0.0017361111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 576 },
["render"] = "\\frac{-10}{-5760}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{576}",
["y"] = 1,
["z"] = 576 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.68",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-16 \\cdot -10",
["typ"] = "krat" },
["render"] = "-15 \\cdot -16 \\cdot -10",
["typ"] = "krat" },
["render"] = "2\\frac{4}{10} \\cdot -15 \\cdot -16 \\cdot -10",
["typ"] = "krat" },
["render"] = "\\frac{-10}{2\\frac{4}{10} \\cdot -15 \\cdot -16 \\cdot -10}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.69, bodu=112, $$\frac{-6 \cdot 13}{1\frac{3}{9} \cdot 3\frac{5}{12} \cdot 8}=\textcolor{white}{-2\frac{23}{164}}$$return {
["body"] = 112,
["id"] = "2L8pyg_0510_1440",
["obtiznost"] = 1.09,
["reseni"] = {
["float"] = -2.140243902439,
["objekt"] = {
["hodnota"] = {
["citatel"] = -351,
["jmenovatel"] = 164 },
["render"] = "\\frac{-702}{328}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{23}{164}",
["x"] = -2,
["y"] = 23,
["z"] = 164 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{12} \\cdot 8",
["typ"] = "krat" },
["render"] = "1\\frac{3}{9} \\cdot 3\\frac{5}{12} \\cdot 8",
["typ"] = "krat" },
["render"] = "\\frac{-6 \\cdot 13}{1\\frac{3}{9} \\cdot 3\\frac{5}{12} \\cdot 8}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.7, bodu=86, $$(-7 - (-8))^3 \cdot -9 + 1\frac{3}{5} \cdot -11 - (-13)=\textcolor{white}{-13{,}6}$$return {
["body"] = 86,
["id"] = "ODaPQW_0510_1440",
["obtiznost"] = 0.9008,
["reseni"] = {
["float"] = -13.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -68,
["jmenovatel"] = 5 },
["render"] = "\\frac{-68}{5}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{3}{5}",
["tex_float"] = "-13{,}6",
["x"] = -13,
["y"] = 3,
["z"] = 5 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-7 - (-8)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-7 - (-8))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(-7 - (-8))^3 \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{5} \\cdot -11",
["typ"] = "krat" },
["render"] = "(-7 - (-8))^3 \\cdot -9 + 1\\frac{3}{5} \\cdot -11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(-7 - (-8))^3 \\cdot -9 + 1\\frac{3}{5} \\cdot -11 - (-13)",
["typ"] = "minus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.71, bodu=136, $$(\frac{15}{(11 + (-15))^2} + 13) \cdot (1\frac{2}{6} - 11)^2=\textcolor{white}{1302\frac{55}{144}}$$return {
["body"] = 136,
["id"] = "EVUVZL_0510_1440",
["obtiznost"] = 1.2568,
["reseni"] = {
["float"] = 1302.3819444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 187543,
["jmenovatel"] = 144 },
["render"] = "\\frac{187543}{144}",
["typ"] = "cislo" },
["tex"] = "1302\\frac{55}{144}",
["x"] = 1302,
["y"] = 55,
["z"] = 144 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.71",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(11 + (-15))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{15}{(11 + (-15))^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{15}{(11 + (-15))^2} + 13",
["typ"] = "plus" },
["render"] = "(\\frac{15}{(11 + (-15))^2} + 13)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{6} - 11",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{2}{6} - 11)^2",
["typ"] = "mocnina" },
["render"] = "(\\frac{15}{(11 + (-15))^2} + 13) \\cdot (1\\frac{2}{6} - 11)^2",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.72, bodu=154, $$(3\frac{3}{6} - 6)^3 \cdot (4\frac{1}{7} + (-9) + 4\frac{3}{7} \cdot 8)=\textcolor{white}{-477\frac{19}{28}}$$return {
["body"] = 154,
["id"] = "TCJSs8_0510_1440",
["obtiznost"] = 1.3732,
["reseni"] = {
["float"] = -477.67857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13375,
["jmenovatel"] = 28 },
["render"] = "\\frac{-26750}{56}",
["typ"] = "cislo" },
["tex"] = "-477\\frac{19}{28}",
["x"] = -477,
["y"] = 19,
["z"] = 28 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.72",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{6} - 6",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(3\\frac{3}{6} - 6)^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{7} + (-9)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} \\cdot 8",
["typ"] = "krat" },
["render"] = "4\\frac{1}{7} + (-9) + 4\\frac{3}{7} \\cdot 8",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{7} + (-9) + 4\\frac{3}{7} \\cdot 8)",
["typ"] = "zavorka" },
["render"] = "(3\\frac{3}{6} - 6)^3 \\cdot (4\\frac{1}{7} + (-9) + 4\\frac{3}{7} \\cdot 8)",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.73, bodu=180, $$(3\frac{1}{5} \cdot 2\frac{3}{8} - 1\frac{4}{13} - 3\frac{5}{11}) \cdot -11=\textcolor{white}{-31\frac{14}{65}}$$return {
["body"] = 180,
["id"] = "vNfIOr_0510_1440",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = -31.215384615385,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2029,
["jmenovatel"] = 65 },
["render"] = "\\frac{-22319}{715}",
["typ"] = "cislo" },
["tex"] = "-31\\frac{14}{65}",
["x"] = -31,
["y"] = 14,
["z"] = 65 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.73",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{5} \\cdot 2\\frac{3}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 13 },
["render"] = "1\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{5} \\cdot 2\\frac{3}{8} - 1\\frac{4}{13}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{5} \\cdot 2\\frac{3}{8} - 1\\frac{4}{13} - 3\\frac{5}{11}",
["typ"] = "minus" },
["render"] = "(3\\frac{1}{5} \\cdot 2\\frac{3}{8} - 1\\frac{4}{13} - 3\\frac{5}{11})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "(3\\frac{1}{5} \\cdot 2\\frac{3}{8} - 1\\frac{4}{13} - 3\\frac{5}{11}) \\cdot -11",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.74, bodu=92, $$\frac{-17 \cdot 5}{14 + 2\frac{1}{2} \cdot 3}=\textcolor{white}{-3\frac{41}{43}}$$return {
["body"] = 92,
["id"] = "8pWMjc_0510_1440",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = -3.953488372093,
["objekt"] = {
["hodnota"] = {
["citatel"] = -170,
["jmenovatel"] = 43 },
["render"] = "\\frac{-170}{43}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{41}{43}",
["x"] = -3,
["y"] = 41,
["z"] = 43 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-17 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{2} \\cdot 3",
["typ"] = "krat" },
["render"] = "14 + 2\\frac{1}{2} \\cdot 3",
["typ"] = "plus" },
["render"] = "\\frac{-17 \\cdot 5}{14 + 2\\frac{1}{2} \\cdot 3}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.75, bodu=151, $$\frac{\frac{-14 + 1\frac{4}{9} + 6}{4\frac{1}{7}}}{\frac{-10}{1\frac{5}{11}}}=\textcolor{white}{\frac{3304}{14355}}$$return {
["body"] = 151,
["id"] = "HlE87k_0510_1440",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = 0.23016370602577,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3304,
["jmenovatel"] = 14355 },
["render"] = "\\frac{-3304}{-14355}",
["typ"] = "cislo" },
["tex"] = "\\frac{3304}{14355}",
["y"] = 3304,
["z"] = 14355 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{9} + 6",
["typ"] = "plus" },
["render"] = "-14 + 1\\frac{4}{9} + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-14 + 1\\frac{4}{9} + 6}{4\\frac{1}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{1\\frac{5}{11}}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{-14 + 1\\frac{4}{9} + 6}{4\\frac{1}{7}}}{\\frac{-10}{1\\frac{5}{11}}}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.76, bodu=98, $$\frac{-8 - 3\frac{4}{9}}{-5} - (\frac{-3}{-12})^3=\textcolor{white}{2\frac{787}{2880}}$$return {
["body"] = 98,
["id"] = "yJqV21_0510_1440",
["obtiznost"] = 0.986,
["reseni"] = {
["float"] = 2.2732638888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6547,
["jmenovatel"] = 2880 },
["render"] = "\\frac{6547}{2880}",
["typ"] = "cislo" },
["tex"] = "2\\frac{787}{2880}",
["x"] = 2,
["y"] = 787,
["z"] = 2880 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-8 - 3\\frac{4}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{-8 - 3\\frac{4}{9}}{-5}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{-12}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-3}{-12})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{-8 - 3\\frac{4}{9}}{-5} - (\\frac{-3}{-12})^3",
["typ"] = "minus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.77, bodu=162, $$\frac{\frac{3\frac{4}{6}}{7} + (-10) + 4\frac{3}{8}}{(4\frac{1}{1} - 16)^2 + 4\frac{5}{11}}=\textcolor{white}{-\frac{9427}{231840}}$$return {
["body"] = 162,
["id"] = "4RjGd7_0510_1440",
["obtiznost"] = 1.4188,
["reseni"] = {
["float"] = -0.040661663216011,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9427,
["jmenovatel"] = 231840 },
["render"] = "\\frac{-9427}{231840}",
["typ"] = "cislo" },
["tex"] = "-\\frac{9427}{231840}",
["y"] = -9427,
["z"] = 231840 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{6}}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{6}}{7} + (-10)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{6}}{7} + (-10) + 4\\frac{3}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "4\\frac{1}{1}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{1} - 16",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{1}{1} - 16)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "(4\\frac{1}{1} - 16)^2 + 4\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{3\\frac{4}{6}}{7} + (-10) + 4\\frac{3}{8}}{(4\\frac{1}{1} - 16)^2 + 4\\frac{5}{11}}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.78, bodu=155, $$\frac{1\frac{5}{11} \cdot -17}{\frac{\frac{2\frac{4}{5}}{4\frac{2}{9}}}{22}}=\textcolor{white}{-820\frac{20}{63}}$$return {
["body"] = 155,
["id"] = "LrvVT3_0510_1440",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = -820.31746031746,
["objekt"] = {
["hodnota"] = {
["citatel"] = -51680,
["jmenovatel"] = 63 },
["render"] = "\\frac{-568480}{693}",
["typ"] = "cislo" },
["tex"] = "-820\\frac{20}{63}",
["x"] = -820,
["y"] = 20,
["z"] = 63 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{11} \\cdot -17",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{5}}{4\\frac{2}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{4}{5}}{4\\frac{2}{9}}}{22}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{5}{11} \\cdot -17}{\\frac{\\frac{2\\frac{4}{5}}{4\\frac{2}{9}}}{22}}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.79, bodu=166, $$11 + (-7 + 4\frac{1}{2})^4 \cdot (-17 - 3\frac{1}{7} \cdot -20)=\textcolor{white}{1802\frac{33}{112}}$$return {
["body"] = 166,
["id"] = "5XrDno_0510_1440",
["obtiznost"] = 1.4464,
["reseni"] = {
["float"] = 1802.2946428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 201857,
["jmenovatel"] = 112 },
["render"] = "\\frac{201857}{112}",
["typ"] = "cislo" },
["tex"] = "1802\\frac{33}{112}",
["x"] = 1802,
["y"] = 33,
["z"] = 112 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.79",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "-7 + 4\\frac{1}{2}",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-7 + 4\\frac{1}{2})^4",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{7} \\cdot -20",
["typ"] = "krat" },
["render"] = "-17 - 3\\frac{1}{7} \\cdot -20",
["typ"] = "minus" },
["render"] = "(-17 - 3\\frac{1}{7} \\cdot -20)",
["typ"] = "zavorka" },
["render"] = "(-7 + 4\\frac{1}{2})^4 \\cdot (-17 - 3\\frac{1}{7} \\cdot -20)",
["typ"] = "krat" },
["render"] = "11 + (-7 + 4\\frac{1}{2})^4 \\cdot (-17 - 3\\frac{1}{7} \\cdot -20)",
["typ"] = "plus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.8, bodu=159, $$-15 - (1\frac{5}{11} + 3\frac{4}{6}) + (-4) - (-15 - (4 - 4\frac{4}{7}))=\textcolor{white}{-9\frac{160}{231}}$$return {
["body"] = 159,
["id"] = "rxZ4gH_0510_1440",
["obtiznost"] = 1.4,
["reseni"] = {
["float"] = -9.6926406926407,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2239,
["jmenovatel"] = 231 },
["render"] = "\\frac{-2239}{231}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{160}{231}",
["x"] = -9,
["y"] = 160,
["z"] = 231 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{11} + 3\\frac{4}{6}",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{11} + 3\\frac{4}{6})",
["typ"] = "zavorka" },
["render"] = "-15 - (1\\frac{5}{11} + 3\\frac{4}{6})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-15 - (1\\frac{5}{11} + 3\\frac{4}{6}) + (-4)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "4 - 4\\frac{4}{7}",
["typ"] = "minus" },
["render"] = "(4 - 4\\frac{4}{7})",
["typ"] = "zavorka" },
["render"] = "-15 - (4 - 4\\frac{4}{7})",
["typ"] = "minus" },
["render"] = "(-15 - (4 - 4\\frac{4}{7}))",
["typ"] = "zavorka" },
["render"] = "-15 - (1\\frac{5}{11} + 3\\frac{4}{6}) + (-4) - (-15 - (4 - 4\\frac{4}{7}))",
["typ"] = "minus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.81, bodu=129, $$\frac{3\frac{3}{12}}{1\frac{2}{7} \cdot 17} + (-6 \cdot (-10 - (-15)))=\textcolor{white}{-29\frac{521}{612}}$$return {
["body"] = 129,
["id"] = "Za7b89_0510_1440",
["obtiznost"] = 1.21,
["reseni"] = {
["float"] = -29.851307189542,
["objekt"] = {
["hodnota"] = {
["citatel"] = -18269,
["jmenovatel"] = 612 },
["render"] = "\\frac{-18269}{612}",
["typ"] = "cislo" },
["tex"] = "-29\\frac{521}{612}",
["x"] = -29,
["y"] = 521,
["z"] = 612 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{7} \\cdot 17",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{3}{12}}{1\\frac{2}{7} \\cdot 17}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["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"] = "minus" },
["render"] = "(-10 - (-15))",
["typ"] = "zavorka" },
["render"] = "-6 \\cdot (-10 - (-15))",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{3}{12}}{1\\frac{2}{7} \\cdot 17} + (-6 \\cdot (-10 - (-15)))",
["typ"] = "plus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.82, bodu=230, $$(2\frac{1}{3} \cdot 4\frac{2}{7} + 1\frac{1}{4} + 3\frac{4}{9} + (-19)) \cdot (4\frac{3}{9} - 13)=\textcolor{white}{37\frac{17}{54}}$$return {
["body"] = 230,
["id"] = "iLz8hm_0510_1440",
["obtiznost"] = 1.82,
["reseni"] = {
["float"] = 37.314814814815,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2015,
["jmenovatel"] = 54 },
["render"] = "\\frac{4030}{108}",
["typ"] = "cislo" },
["tex"] = "37\\frac{17}{54}",
["x"] = 37,
["y"] = 17,
["z"] = 54 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.82",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{3} \\cdot 4\\frac{2}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{3} \\cdot 4\\frac{2}{7} + 1\\frac{1}{4}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{3} \\cdot 4\\frac{2}{7} + 1\\frac{1}{4} + 3\\frac{4}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{3} \\cdot 4\\frac{2}{7} + 1\\frac{1}{4} + 3\\frac{4}{9} + (-19)",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{3} \\cdot 4\\frac{2}{7} + 1\\frac{1}{4} + 3\\frac{4}{9} + (-19))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} - 13",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{9} - 13)",
["typ"] = "zavorka" },
["render"] = "(2\\frac{1}{3} \\cdot 4\\frac{2}{7} + 1\\frac{1}{4} + 3\\frac{4}{9} + (-19)) \\cdot (4\\frac{3}{9} - 13)",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.83, bodu=132, $$2\frac{2}{7} \cdot (5 - \frac{20}{3\frac{1}{10}} - 19) \cdot -13=\textcolor{white}{607\frac{153}{217}}$$return {
["body"] = 132,
["id"] = "tuMJux_0510_1440",
["obtiznost"] = 1.23,
["reseni"] = {
["float"] = 607.70506912442,
["objekt"] = {
["hodnota"] = {
["citatel"] = 131872,
["jmenovatel"] = 217 },
["render"] = "\\frac{131872}{217}",
["typ"] = "cislo" },
["tex"] = "607\\frac{153}{217}",
["x"] = 607,
["y"] = 153,
["z"] = 217 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.83",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 10 },
["render"] = "3\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{20}{3\\frac{1}{10}}",
["typ"] = "lomeno" },
["render"] = "5 - \\frac{20}{3\\frac{1}{10}}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "5 - \\frac{20}{3\\frac{1}{10}} - 19",
["typ"] = "minus" },
["render"] = "(5 - \\frac{20}{3\\frac{1}{10}} - 19)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(5 - \\frac{20}{3\\frac{1}{10}} - 19) \\cdot -13",
["typ"] = "krat" },
["render"] = "2\\frac{2}{7} \\cdot (5 - \\frac{20}{3\\frac{1}{10}} - 19) \\cdot -13",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.84, bodu=105, $$-5 \cdot 11 \cdot 3\frac{4}{13} \cdot 10 \cdot 7=\textcolor{white}{-12734\frac{8}{13}}$$return {
["body"] = 105,
["id"] = "HsisnA_0510_1440",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = -12734.615384615,
["objekt"] = {
["hodnota"] = {
["citatel"] = -165550,
["jmenovatel"] = 13 },
["render"] = "\\frac{-165550}{13}",
["typ"] = "cislo" },
["tex"] = "-12734\\frac{8}{13}",
["x"] = -12734,
["y"] = 8,
["z"] = 13 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 13 },
["render"] = "3\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{13} \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{13} \\cdot 10 \\cdot 7",
["typ"] = "krat" },
["render"] = "-5 \\cdot 11 \\cdot 3\\frac{4}{13} \\cdot 10 \\cdot 7",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.85, bodu=167, $$\frac{4\frac{4}{5} \cdot \frac{2\frac{3}{6}}{2\frac{4}{12}}}{(\frac{18}{-18})^4}=\textcolor{white}{5\frac{1}{7}}$$return {
["body"] = 167,
["id"] = "dCul6m_0510_1440",
["obtiznost"] = 1.4508,
["reseni"] = {
["float"] = 5.1428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 7 },
["render"] = "\\frac{36}{7}",
["typ"] = "cislo" },
["tex"] = "5\\frac{1}{7}",
["x"] = 5,
["y"] = 1,
["z"] = 7 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{6}}{2\\frac{4}{12}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{4}{5} \\cdot \\frac{2\\frac{3}{6}}{2\\frac{4}{12}}",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{18}{-18}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{18}{-18})^4",
["typ"] = "mocnina" },
["render"] = "\\frac{4\\frac{4}{5} \\cdot \\frac{2\\frac{3}{6}}{2\\frac{4}{12}}}{(\\frac{18}{-18})^4}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.86, bodu=168, $$(2\frac{3}{9} - (-11)) \cdot \frac{-13 \cdot \frac{2\frac{1}{7}}{-12}}{2\frac{1}{3}}=\textcolor{white}{13\frac{13}{49}}$$return {
["body"] = 168,
["id"] = "S31D0D_0510_1440",
["obtiznost"] = 1.46,
["reseni"] = {
["float"] = 13.265306122449,
["objekt"] = {
["hodnota"] = {
["citatel"] = 650,
["jmenovatel"] = 49 },
["render"] = "\\frac{7800}{588}",
["typ"] = "cislo" },
["tex"] = "13\\frac{13}{49}",
["x"] = 13,
["y"] = 13,
["z"] = 49 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.86",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} - (-11)",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{9} - (-11))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["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"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{7}}{-12}",
["typ"] = "lomeno" },
["render"] = "-13 \\cdot \\frac{2\\frac{1}{7}}{-12}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{-13 \\cdot \\frac{2\\frac{1}{7}}{-12}}{2\\frac{1}{3}}",
["typ"] = "lomeno" },
["render"] = "(2\\frac{3}{9} - (-11)) \\cdot \\frac{-13 \\cdot \\frac{2\\frac{1}{7}}{-12}}{2\\frac{1}{3}}",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.87, bodu=191, $$(-17 + 2\frac{4}{14} \cdot \frac{3\frac{5}{9}}{1\frac{3}{8}}) \cdot (\frac{14}{11})^2=\textcolor{white}{-17\frac{11537}{11979}}$$return {
["body"] = 191,
["id"] = "LiGSLh_0510_1440",
["obtiznost"] = 1.5968,
["reseni"] = {
["float"] = -17.963102095334,
["objekt"] = {
["hodnota"] = {
["citatel"] = -215180,
["jmenovatel"] = 11979 },
["render"] = "\\frac{-1506260}{83853}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{11537}{11979}",
["x"] = -17,
["y"] = 11537,
["z"] = 11979 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.87",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{14}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{9}}{1\\frac{3}{8}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{4}{14} \\cdot \\frac{3\\frac{5}{9}}{1\\frac{3}{8}}",
["typ"] = "krat" },
["render"] = "-17 + 2\\frac{4}{14} \\cdot \\frac{3\\frac{5}{9}}{1\\frac{3}{8}}",
["typ"] = "plus" },
["render"] = "(-17 + 2\\frac{4}{14} \\cdot \\frac{3\\frac{5}{9}}{1\\frac{3}{8}})",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{14}{11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{14}{11})^2",
["typ"] = "mocnina" },
["render"] = "(-17 + 2\\frac{4}{14} \\cdot \\frac{3\\frac{5}{9}}{1\\frac{3}{8}}) \\cdot (\\frac{14}{11})^2",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.88, bodu=205, $$\frac{1\frac{4}{8} - (\frac{16}{22 + 4\frac{4}{7} - 3\frac{2}{7}} + 4\frac{5}{11})}{8}=\textcolor{white}{-\frac{13059}{28688}}$$return {
["body"] = 205,
["id"] = "PsPwJt_0510_1440",
["obtiznost"] = 1.68,
["reseni"] = {
["float"] = -0.45520775237033,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13059,
["jmenovatel"] = 28688 },
["render"] = "\\frac{-13059}{28688}",
["typ"] = "cislo" },
["tex"] = "-\\frac{13059}{28688}",
["y"] = -13059,
["z"] = 28688 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "22 + 4\\frac{4}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "22 + 4\\frac{4}{7} - 3\\frac{2}{7}",
["typ"] = "minus" },
["render"] = "\\frac{16}{22 + 4\\frac{4}{7} - 3\\frac{2}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{16}{22 + 4\\frac{4}{7} - 3\\frac{2}{7}} + 4\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "(\\frac{16}{22 + 4\\frac{4}{7} - 3\\frac{2}{7}} + 4\\frac{5}{11})",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{8} - (\\frac{16}{22 + 4\\frac{4}{7} - 3\\frac{2}{7}} + 4\\frac{5}{11})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{8} - (\\frac{16}{22 + 4\\frac{4}{7} - 3\\frac{2}{7}} + 4\\frac{5}{11})}{8}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.89, bodu=173, $$\frac{\frac{1\frac{4}{7} + 1\frac{2}{9} + 10}{4} + (-20 + 3\frac{3}{14})}{10}=\textcolor{white}{-1\frac{113}{315}}$$return {
["body"] = 173,
["id"] = "IhcU9A_0510_1440",
["obtiznost"] = 1.49,
["reseni"] = {
["float"] = -1.3587301587302,
["objekt"] = {
["hodnota"] = {
["citatel"] = -428,
["jmenovatel"] = 315 },
["render"] = "\\frac{-856}{630}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{113}{315}",
["x"] = -1,
["y"] = 113,
["z"] = 315 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{9} + 10",
["typ"] = "plus" },
["render"] = "1\\frac{4}{7} + 1\\frac{2}{9} + 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{7} + 1\\frac{2}{9} + 10}{4}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 14 },
["render"] = "3\\frac{3}{14}",
["typ"] = "cislo" },
["render"] = "-20 + 3\\frac{3}{14}",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{4}{7} + 1\\frac{2}{9} + 10}{4} + (-20 + 3\\frac{3}{14})",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{4}{7} + 1\\frac{2}{9} + 10}{4} + (-20 + 3\\frac{3}{14})}{10}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.9, bodu=209, $$1\frac{2}{12} \cdot 3\frac{2}{9} - \frac{1\frac{4}{13}}{8} + (-17 - 1\frac{5}{9})=\textcolor{white}{-14\frac{2695}{2808}}$$return {
["body"] = 209,
["id"] = "x5NEnF_0510_1440",
["obtiznost"] = 1.7,
["reseni"] = {
["float"] = -14.959757834758,
["objekt"] = {
["hodnota"] = {
["citatel"] = -42007,
["jmenovatel"] = 2808 },
["render"] = "\\frac{-378063}{25272}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{2695}{2808}",
["x"] = -14,
["y"] = 2695,
["z"] = 2808 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{2}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{12} \\cdot 3\\frac{2}{9}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 13 },
["render"] = "1\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{13}}{8}",
["typ"] = "lomeno" },
["render"] = "1\\frac{2}{12} \\cdot 3\\frac{2}{9} - \\frac{1\\frac{4}{13}}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-17 - 1\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "1\\frac{2}{12} \\cdot 3\\frac{2}{9} - \\frac{1\\frac{4}{13}}{8} + (-17 - 1\\frac{5}{9})",
["typ"] = "plus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.91, bodu=145, $$1\frac{2}{9} + 12 + \frac{\frac{11}{2\frac{3}{7}}}{-15 - (14 + (-12))^2}=\textcolor{white}{12\frac{2860}{2907}}$$return {
["body"] = 145,
["id"] = "cRiXwb_0510_1440",
["obtiznost"] = 1.312,
["reseni"] = {
["float"] = 12.983832129343,
["objekt"] = {
["hodnota"] = {
["citatel"] = 37744,
["jmenovatel"] = 2907 },
["render"] = "\\frac{37744}{2907}",
["typ"] = "cislo" },
["tex"] = "12\\frac{2860}{2907}",
["x"] = 12,
["y"] = 2860,
["z"] = 2907 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{9} + 12",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{2\\frac{3}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "14 + (-12)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(14 + (-12))^2",
["typ"] = "mocnina" },
["render"] = "-15 - (14 + (-12))^2",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{11}{2\\frac{3}{7}}}{-15 - (14 + (-12))^2}",
["typ"] = "lomeno" },
["render"] = "1\\frac{2}{9} + 12 + \\frac{\\frac{11}{2\\frac{3}{7}}}{-15 - (14 + (-12))^2}",
["typ"] = "plus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.92, bodu=178, $$2\frac{5}{7} \cdot 10 \cdot -6 - 4\frac{5}{8} - (3\frac{5}{11} + 15)=\textcolor{white}{-185\frac{577}{616}}$$return {
["body"] = 178,
["id"] = "mPFlk6_0510_1440",
["obtiznost"] = 1.52,
["reseni"] = {
["float"] = -185.93668831169,
["objekt"] = {
["hodnota"] = {
["citatel"] = -114537,
["jmenovatel"] = 616 },
["render"] = "\\frac{-114537}{616}",
["typ"] = "cislo" },
["tex"] = "-185\\frac{577}{616}",
["x"] = -185,
["y"] = 577,
["z"] = 616 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{7} \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{7} \\cdot 10 \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{7} \\cdot 10 \\cdot -6 - 4\\frac{5}{8}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} + 15",
["typ"] = "plus" },
["render"] = "(3\\frac{5}{11} + 15)",
["typ"] = "zavorka" },
["render"] = "2\\frac{5}{7} \\cdot 10 \\cdot -6 - 4\\frac{5}{8} - (3\\frac{5}{11} + 15)",
["typ"] = "minus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.93, bodu=180, $$\frac{3\frac{5}{10}}{-16} \cdot 4\frac{5}{7} + (-14) - 17 \cdot 4\frac{1}{9}=\textcolor{white}{-84\frac{265}{288}}$$return {
["body"] = 180,
["id"] = "WF5igJ_0510_1440",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = -84.920138888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -24457,
["jmenovatel"] = 288 },
["render"] = "\\frac{-24457}{288}",
["typ"] = "cislo" },
["tex"] = "-84\\frac{265}{288}",
["x"] = -84,
["y"] = 265,
["z"] = 288 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{10}}{-16}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{10}}{-16} \\cdot 4\\frac{5}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{10}}{-16} \\cdot 4\\frac{5}{7} + (-14)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "17 \\cdot 4\\frac{1}{9}",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{5}{10}}{-16} \\cdot 4\\frac{5}{7} + (-14) - 17 \\cdot 4\\frac{1}{9}",
["typ"] = "minus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.94, bodu=254, $$\frac{1\frac{2}{9}}{\frac{12}{3\frac{4}{8}} + (\frac{2\frac{4}{12}}{1\frac{1}{6}})^4 + 4\frac{5}{11}}=\textcolor{white}{\frac{847}{16551}}$$return {
["body"] = 254,
["id"] = "tVXx9t_0510_1440",
["obtiznost"] = 1.9468,
["reseni"] = {
["float"] = 0.051175155579723,
["objekt"] = {
["hodnota"] = {
["citatel"] = 847,
["jmenovatel"] = 16551 },
["render"] = "\\frac{847}{16551}",
["typ"] = "cislo" },
["tex"] = "\\frac{847}{16551}",
["y"] = 847,
["z"] = 16551 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.94",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{3\\frac{4}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{12}}{1\\frac{1}{6}}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{2\\frac{4}{12}}{1\\frac{1}{6}})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "(\\frac{2\\frac{4}{12}}{1\\frac{1}{6}})^4 + 4\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "\\frac{12}{3\\frac{4}{8}} + (\\frac{2\\frac{4}{12}}{1\\frac{1}{6}})^4 + 4\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{2}{9}}{\\frac{12}{3\\frac{4}{8}} + (\\frac{2\\frac{4}{12}}{1\\frac{1}{6}})^4 + 4\\frac{5}{11}}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.95, bodu=173, $$15 + 4\frac{4}{6} + \frac{4\frac{5}{10} \cdot -9}{(\frac{-6}{5})^3}=\textcolor{white}{43\frac{5}{48}}$$return {
["body"] = 173,
["id"] = "QVauq5_0510_1440",
["obtiznost"] = 1.4864,
["reseni"] = {
["float"] = 43.104166666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2069,
["jmenovatel"] = 48 },
["render"] = "\\frac{2069}{48}",
["typ"] = "cislo" },
["tex"] = "43\\frac{5}{48}",
["x"] = 43,
["y"] = 5,
["z"] = 48 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "15 + 4\\frac{4}{6}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{10} \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{5}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-6}{5})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{4\\frac{5}{10} \\cdot -9}{(\\frac{-6}{5})^3}",
["typ"] = "lomeno" },
["render"] = "15 + 4\\frac{4}{6} + \\frac{4\\frac{5}{10} \\cdot -9}{(\\frac{-6}{5})^3}",
["typ"] = "plus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.96, bodu=185, $$(-16 \cdot 2\frac{2}{9} + 3\frac{3}{6}) \cdot (4\frac{4}{14} - (-11)) \cdot -13=\textcolor{white}{6369\frac{113}{126}}$$return {
["body"] = 185,
["id"] = "QCyInY_0510_1440",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = 6369.8968253968,
["objekt"] = {
["hodnota"] = {
["citatel"] = 802607,
["jmenovatel"] = 126 },
["render"] = "\\frac{802607}{126}",
["typ"] = "cislo" },
["tex"] = "6369\\frac{113}{126}",
["x"] = 6369,
["y"] = 113,
["z"] = 126 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 2\\frac{2}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 2\\frac{2}{9} + 3\\frac{3}{6}",
["typ"] = "plus" },
["render"] = "(-16 \\cdot 2\\frac{2}{9} + 3\\frac{3}{6})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{14} - (-11)",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{14} - (-11))",
["typ"] = "zavorka" },
["render"] = "(-16 \\cdot 2\\frac{2}{9} + 3\\frac{3}{6}) \\cdot (4\\frac{4}{14} - (-11))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(-16 \\cdot 2\\frac{2}{9} + 3\\frac{3}{6}) \\cdot (4\\frac{4}{14} - (-11)) \\cdot -13",
["typ"] = "krat" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.97, bodu=258, $$3\frac{3}{13} - (4\frac{4}{9} - 1\frac{2}{7}) \cdot -13 - (1\frac{4}{12} + 4\frac{5}{10} - 12)=\textcolor{white}{50\frac{755}{1638}}$$return {
["body"] = 258,
["id"] = "jNKHTZ_0510_1440",
["obtiznost"] = 1.97,
["reseni"] = {
["float"] = 50.460927960928,
["objekt"] = {
["hodnota"] = {
["citatel"] = 82655,
["jmenovatel"] = 1638 },
["render"] = "\\frac{247965}{4914}",
["typ"] = "cislo" },
["tex"] = "50\\frac{755}{1638}",
["x"] = 50,
["y"] = 755,
["z"] = 1638 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 42,
["jmenovatel"] = 13 },
["render"] = "3\\frac{3}{13}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} - 1\\frac{2}{7}",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{9} - 1\\frac{2}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(4\\frac{4}{9} - 1\\frac{2}{7}) \\cdot -13",
["typ"] = "krat" },
["render"] = "3\\frac{3}{13} - (4\\frac{4}{9} - 1\\frac{2}{7}) \\cdot -13",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{10} - 12",
["typ"] = "minus" },
["render"] = "1\\frac{4}{12} + 4\\frac{5}{10} - 12",
["typ"] = "plus" },
["render"] = "(1\\frac{4}{12} + 4\\frac{5}{10} - 12)",
["typ"] = "zavorka" },
["render"] = "3\\frac{3}{13} - (4\\frac{4}{9} - 1\\frac{2}{7}) \\cdot -13 - (1\\frac{4}{12} + 4\\frac{5}{10} - 12)",
["typ"] = "minus" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.98, bodu=260, $$\frac{\frac{2\frac{4}{8}}{3\frac{1}{5} - (3\frac{1}{10} + (-18))} - (2\frac{3}{11} - 1\frac{1}{9})}{-4}=\textcolor{white}{\frac{4585}{17919}}$$return {
["body"] = 260,
["id"] = "Efid0e_0510_1440",
["obtiznost"] = 1.98,
["reseni"] = {
["float"] = 0.25587365366371,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4585,
["jmenovatel"] = 17919 },
["render"] = "\\frac{-18340}{-71676}",
["typ"] = "cislo" },
["tex"] = "\\frac{4585}{17919}",
["y"] = 4585,
["z"] = 17919 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 10 },
["render"] = "3\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{10} + (-18)",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{10} + (-18))",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{5} - (3\\frac{1}{10} + (-18))",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{4}{8}}{3\\frac{1}{5} - (3\\frac{1}{10} + (-18))}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{11} - 1\\frac{1}{9}",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{11} - 1\\frac{1}{9})",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{4}{8}}{3\\frac{1}{5} - (3\\frac{1}{10} + (-18))} - (2\\frac{3}{11} - 1\\frac{1}{9})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{4}{8}}{3\\frac{1}{5} - (3\\frac{1}{10} + (-18))} - (2\\frac{3}{11} - 1\\frac{1}{9})}{-4}",
["typ"] = "lomeno" } }
seed: t0gu0pMW3TI3V7DJp1oy_0.99, bodu=157, $$\frac{20}{\frac{14}{4\frac{3}{9}} - 2\frac{1}{6}} - \frac{17}{13}=\textcolor{white}{17\frac{526}{1079}}$$return {
["body"] = 157,
["id"] = "ix8WJL_0510_1440",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = 17.487488415199,
["objekt"] = {
["hodnota"] = {
["citatel"] = 18869,
["jmenovatel"] = 1079 },
["render"] = "\\frac{18869}{1079}",
["typ"] = "cislo" },
["tex"] = "17\\frac{526}{1079}",
["x"] = 17,
["y"] = 526,
["z"] = 1079 },
["seed"] = "t0gu0pMW3TI3V7DJp1oy_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{14}{4\\frac{3}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{14}{4\\frac{3}{9}} - 2\\frac{1}{6}",
["typ"] = "minus" },
["render"] = "\\frac{20}{\\frac{14}{4\\frac{3}{9}} - 2\\frac{1}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{17}{13}",
["typ"] = "lomeno" },
["render"] = "\\frac{20}{\\frac{14}{4\\frac{3}{9}} - 2\\frac{1}{6}} - \\frac{17}{13}",
["typ"] = "minus" } }
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5ba.gif: 
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Lucky-star-good-job-o.gif: 
SpanishForcefulfsdgIcelandicsheepdog-max-1mb.gif: 
Toothless_ecstatic_claps.gif: 
UJrA.gif: 
VEKsdfggfd0.gif: 
anime-cegfdhhhlebration-gif-9.gif: 
anime-celefdghdfgfbration-gif-13.gif: 
aph1.gif: 
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ecstatic.gif: 
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jocelyn_ecstatic__animated__by_tsnow-d7kwtd6.gif: 
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poehler.gif: 
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vUn8eIh.gif: 
well-done-jennifer-anniston-clap-applause-2.gif: 