- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: pTczTeVbaH1neAODbSzF_0, bodu=5, $$8 + 7 + 5 - 10 - (-9)=\textcolor{white}{19}$$return {
["body"] = 5,
["id"] = "Fm3RMM_1103_0722",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "\\frac{19}{1}",
["typ"] = "cislo" },
["tex"] = "19",
["x"] = 19 },
["seed"] = "pTczTeVbaH1neAODbSzF_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 + 5",
["typ"] = "plus" },
["render"] = "8 + 7 + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 + 7 + 5 - 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "8 + 7 + 5 - 10 - (-9)",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.01, bodu=5, $$9 + 9 + (-7 + 4 - 3)^2=\textcolor{white}{54}$$return {
["body"] = 5,
["id"] = "BtD4wW_1103_0722",
["obtiznost"] = 0.0248,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 54,
["jmenovatel"] = 1 },
["render"] = "\\frac{54}{1}",
["typ"] = "cislo" },
["tex"] = "54",
["tex_float"] = "54",
["x"] = 54 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.01",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-7 + 4",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-7 + 4 - 3",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-7 + 4 - 3)^2",
["typ"] = "mocnina" },
["render"] = "9 + (-7 + 4 - 3)^2",
["typ"] = "plus" },
["render"] = "9 + 9 + (-7 + 4 - 3)^2",
["typ"] = "plus" } }
seed: pTczTeVbaH1neAODbSzF_0.02, bodu=10, $$\frac{\frac{8}{7}}{6}=\textcolor{white}{\frac{4}{21}}$$return {
["body"] = 10,
["id"] = "fJGBQg_1103_0722",
["obtiznost"] = 0.02,
["reseni"] = {
["float"] = 0.19047619047619,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 21 },
["render"] = "\\frac{8}{42}",
["typ"] = "cislo" },
["tex"] = "\\frac{4}{21}",
["y"] = 4,
["z"] = 21 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{8}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{8}{7}}{6}",
["typ"] = "lomeno" } }
seed: pTczTeVbaH1neAODbSzF_0.03, bodu=5, $$8 + (4 + 5) \cdot 6=\textcolor{white}{62}$$return {
["body"] = 5,
["id"] = "paYohT_1103_0722",
["obtiznost"] = 0.03,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 62,
["jmenovatel"] = 1 },
["render"] = "\\frac{62}{1}",
["typ"] = "cislo" },
["tex"] = "62",
["tex_float"] = "62",
["x"] = 62 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.03",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4 + 5",
["typ"] = "plus" },
["render"] = "(4 + 5)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(4 + 5) \\cdot 6",
["typ"] = "krat" },
["render"] = "8 + (4 + 5) \\cdot 6",
["typ"] = "plus" } }
seed: pTczTeVbaH1neAODbSzF_0.04, bodu=5, $$5 \cdot (8 + (-7) + (-5))=\textcolor{white}{-20}$$return {
["body"] = 5,
["id"] = "vJkklx_1103_0722",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "\\frac{-20}{1}",
["typ"] = "cislo" },
["tex"] = "-20",
["x"] = -20 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.04",
["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"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "8 + (-7)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "8 + (-7) + (-5)",
["typ"] = "plus" },
["render"] = "(8 + (-7) + (-5))",
["typ"] = "zavorka" },
["render"] = "5 \\cdot (8 + (-7) + (-5))",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.05, bodu=5, $$9 \cdot 9 \cdot 5=\textcolor{white}{405}$$return {
["body"] = 5,
["id"] = "Zr90gn_1103_0722",
["obtiznost"] = 0.05,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 405,
["jmenovatel"] = 1 },
["render"] = "\\frac{405}{1}",
["typ"] = "cislo" },
["tex"] = "405",
["x"] = 405 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "9 \\cdot 9 \\cdot 5",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.06, bodu=5, $$((5 - 6) \cdot (9 + (-9)))^3=\textcolor{white}{0}$$return {
["body"] = 5,
["id"] = "eKFsaB_1103_0722",
["obtiznost"] = 0.0604,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -0,
["jmenovatel"] = 1 },
["render"] = "\\frac{-0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["tex_float"] = "0",
["x"] = 0 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.06",
["zadani"] = {
["c"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "5 - 6",
["typ"] = "minus" },
["render"] = "(5 - 6)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "9 + (-9)",
["typ"] = "plus" },
["render"] = "(9 + (-9))",
["typ"] = "zavorka" },
["render"] = "(5 - 6) \\cdot (9 + (-9))",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "((5 - 6) \\cdot (9 + (-9)))^3",
["typ"] = "mocnina" } }
seed: pTczTeVbaH1neAODbSzF_0.07, bodu=5, $$-5 - (9 \cdot 10 - 6)=\textcolor{white}{-89}$$return {
["body"] = 5,
["id"] = "Jwmksj_1103_0722",
["obtiznost"] = 0.07,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -89,
["jmenovatel"] = 1 },
["render"] = "\\frac{-89}{1}",
["typ"] = "cislo" },
["tex"] = "-89",
["x"] = -89 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.07",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "9 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "9 \\cdot 10 - 6",
["typ"] = "minus" },
["render"] = "(9 \\cdot 10 - 6)",
["typ"] = "zavorka" },
["render"] = "-5 - (9 \\cdot 10 - 6)",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.08, bodu=6, $$(5 + 5 + 10) \cdot 7=\textcolor{white}{140}$$return {
["body"] = 6,
["id"] = "6GqvXZ_1103_0722",
["obtiznost"] = 0.08,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 140,
["jmenovatel"] = 1 },
["render"] = "\\frac{140}{1}",
["typ"] = "cislo" },
["tex"] = "140",
["tex_float"] = "140",
["x"] = 140 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.08",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "5 + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "5 + 5 + 10",
["typ"] = "plus" },
["render"] = "(5 + 5 + 10)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(5 + 5 + 10) \\cdot 7",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.09, bodu=6, $$10 \cdot 6 \cdot (8 - 5)=\textcolor{white}{180}$$return {
["body"] = 6,
["id"] = "HyVHwe_1103_0722",
["obtiznost"] = 0.09,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 180,
["jmenovatel"] = 1 },
["render"] = "\\frac{180}{1}",
["typ"] = "cislo" },
["tex"] = "180",
["tex_float"] = "180",
["x"] = 180 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "8 - 5",
["typ"] = "minus" },
["render"] = "(8 - 5)",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (8 - 5)",
["typ"] = "krat" },
["render"] = "10 \\cdot 6 \\cdot (8 - 5)",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.1, bodu=12, $$\frac{\frac{10}{8}}{4}=\textcolor{white}{\frac{5}{16}}$$return {
["body"] = 12,
["id"] = "6dseTr_1103_0722",
["obtiznost"] = 0.1,
["reseni"] = {
["float"] = 0.3125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 16 },
["render"] = "\\frac{5}{16}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{16}",
["y"] = 5,
["z"] = 16 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{10}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{10}{8}}{4}",
["typ"] = "lomeno" } }
seed: pTczTeVbaH1neAODbSzF_0.11, bodu=42, $$(\frac{9 - (-7)}{3\frac{4}{8} \cdot 12})^2=\textcolor{white}{\frac{64}{441}}$$return {
["body"] = 42,
["id"] = "xSaGO5_1103_0722",
["obtiznost"] = 0.512,
["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"] = "pTczTeVbaH1neAODbSzF_0.11",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "9 - (-7)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} \\cdot 12",
["typ"] = "krat" },
["render"] = "\\frac{9 - (-7)}{3\\frac{4}{8} \\cdot 12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{9 - (-7)}{3\\frac{4}{8} \\cdot 12})^2",
["typ"] = "mocnina" } }
seed: pTczTeVbaH1neAODbSzF_0.12, bodu=6, $$8 - (-5) - 10 - 12=\textcolor{white}{-9}$$return {
["body"] = 6,
["id"] = "2ffZju_1103_0722",
["obtiznost"] = 0.12,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "\\frac{-9}{1}",
["typ"] = "cislo" },
["tex"] = "-9",
["tex_float"] = "-9",
["x"] = -9 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.12",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "8 - (-5)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 - (-5) - 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "8 - (-5) - 10 - 12",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.13, bodu=14, $$(\frac{8}{8})^4 - (7 - 8)=\textcolor{white}{2}$$return {
["body"] = 14,
["id"] = "8nUhDX_1103_0722",
["obtiznost"] = 0.1308,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "\\frac{2}{1}",
["typ"] = "cislo" },
["tex"] = "2",
["x"] = 2 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.13",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{8}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{8}{8})^4",
["typ"] = "mocnina" },
["c2"] = {
["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"] = "minus" },
["render"] = "(7 - 8)",
["typ"] = "zavorka" },
["render"] = "(\\frac{8}{8})^4 - (7 - 8)",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.14, bodu=14, $$\frac{6}{5 \cdot -11}=\textcolor{white}{-\frac{6}{55}}$$return {
["body"] = 14,
["id"] = "oguwPV_1103_0722",
["obtiznost"] = 0.14,
["reseni"] = {
["float"] = -0.10909090909091,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 55 },
["render"] = "\\frac{6}{-55}",
["typ"] = "cislo" },
["tex"] = "-\\frac{6}{55}",
["y"] = -6,
["z"] = 55 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.14",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "\\frac{6}{5 \\cdot -11}",
["typ"] = "lomeno" } }
seed: pTczTeVbaH1neAODbSzF_0.15, bodu=7, $$-9 - 9 - (10 + 9)=\textcolor{white}{-37}$$return {
["body"] = 7,
["id"] = "M3giSL_1103_0722",
["obtiznost"] = 0.15,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -37,
["jmenovatel"] = 1 },
["render"] = "\\frac{-37}{1}",
["typ"] = "cislo" },
["tex"] = "-37",
["tex_float"] = "-37",
["x"] = -37 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-9 - 9",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 + 9",
["typ"] = "plus" },
["render"] = "(10 + 9)",
["typ"] = "zavorka" },
["render"] = "-9 - 9 - (10 + 9)",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.16, bodu=26, $$(\frac{5 \cdot 8}{6})^2=\textcolor{white}{44\frac{4}{9}}$$return {
["body"] = 26,
["id"] = "8GxBa1_1103_0722",
["obtiznost"] = 0.3236,
["reseni"] = {
["float"] = 44.444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 400,
["jmenovatel"] = 9 },
["render"] = "\\frac{400}{9}",
["typ"] = "cislo" },
["tex"] = "44\\frac{4}{9}",
["x"] = 44,
["y"] = 4,
["z"] = 9 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.16",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{5 \\cdot 8}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{5 \\cdot 8}{6})^2",
["typ"] = "mocnina" } }
seed: pTczTeVbaH1neAODbSzF_0.17, bodu=33, $$\frac{(8 - 5)^4}{2\frac{3}{5} - (-10)}=\textcolor{white}{6\frac{3}{7}}$$return {
["body"] = 33,
["id"] = "FvSekE_1103_0722",
["obtiznost"] = 0.4028,
["reseni"] = {
["float"] = 6.4285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 7 },
["render"] = "\\frac{405}{63}",
["typ"] = "cislo" },
["tex"] = "6\\frac{3}{7}",
["x"] = 6,
["y"] = 3,
["z"] = 7 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.17",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "8 - 5",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(8 - 5)^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{5} - (-10)",
["typ"] = "minus" },
["render"] = "\\frac{(8 - 5)^4}{2\\frac{3}{5} - (-10)}",
["typ"] = "lomeno" } }
seed: pTczTeVbaH1neAODbSzF_0.18, bodu=16, $$(-9 + (-10)) \cdot \frac{9}{4}=\textcolor{white}{-42{,}75}$$return {
["body"] = 16,
["id"] = "srS78m_1103_0722",
["obtiznost"] = 0.18,
["reseni"] = {
["float"] = -42.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -171,
["jmenovatel"] = 4 },
["render"] = "\\frac{-171}{4}",
["typ"] = "cislo" },
["tex"] = "-42\\frac{3}{4}",
["tex_float"] = "-42{,}75",
["x"] = -42,
["y"] = 3,
["z"] = 4 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.18",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-9 + (-10)",
["typ"] = "plus" },
["render"] = "(-9 + (-10))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{9}{4}",
["typ"] = "lomeno" },
["render"] = "(-9 + (-10)) \\cdot \\frac{9}{4}",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.19, bodu=31, $$-2 + \frac{-4}{10} + 3\frac{3}{4}=\textcolor{white}{1{,}35}$$return {
["body"] = 31,
["id"] = "aacyye_1103_0722",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = 1.35,
["objekt"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 20 },
["render"] = "\\frac{27}{20}",
["typ"] = "cislo" },
["tex"] = "1\\frac{7}{20}",
["tex_float"] = "1{,}35",
["x"] = 1,
["y"] = 7,
["z"] = 20 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{10} + 3\\frac{3}{4}",
["typ"] = "plus" },
["render"] = "-2 + \\frac{-4}{10} + 3\\frac{3}{4}",
["typ"] = "plus" } }
seed: pTczTeVbaH1neAODbSzF_0.2, bodu=18, $$(11 - 10)^4 + \frac{11}{-4 + 3}=\textcolor{white}{-10}$$return {
["body"] = 18,
["id"] = "idPMSX_1103_0722",
["obtiznost"] = 0.2008,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "\\frac{-10}{1}",
["typ"] = "cislo" },
["tex"] = "-10",
["x"] = -10 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.2",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "11 - 10",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(11 - 10)^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-4 + 3",
["typ"] = "plus" },
["render"] = "\\frac{11}{-4 + 3}",
["typ"] = "lomeno" },
["render"] = "(11 - 10)^4 + \\frac{11}{-4 + 3}",
["typ"] = "plus" } }
seed: pTczTeVbaH1neAODbSzF_0.21, bodu=9, $$-7 \cdot 9 - 11 \cdot 9=\textcolor{white}{-162}$$return {
["body"] = 9,
["id"] = "l2xPEW_1103_0722",
["obtiznost"] = 0.21,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -162,
["jmenovatel"] = 1 },
["render"] = "\\frac{-162}{1}",
["typ"] = "cislo" },
["tex"] = "-162",
["x"] = -162 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "11 \\cdot 9",
["typ"] = "krat" },
["render"] = "-7 \\cdot 9 - 11 \\cdot 9",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.22, bodu=12, $$(6 + 8 \cdot 6) \cdot (-5 + (-9))^2=\textcolor{white}{10584}$$return {
["body"] = 12,
["id"] = "CnnxsF_1103_0722",
["obtiznost"] = 0.2988,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 10584,
["jmenovatel"] = 1 },
["render"] = "\\frac{10584}{1}",
["typ"] = "cislo" },
["tex"] = "10584",
["x"] = 10584 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.22",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 \\cdot 6",
["typ"] = "krat" },
["render"] = "6 + 8 \\cdot 6",
["typ"] = "plus" },
["render"] = "(6 + 8 \\cdot 6)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-5 + (-9)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-5 + (-9))^2",
["typ"] = "mocnina" },
["render"] = "(6 + 8 \\cdot 6) \\cdot (-5 + (-9))^2",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.23, bodu=53, $$8 \cdot (\frac{1\frac{2}{6}}{7})^2 - (-9)=\textcolor{white}{9\frac{128}{441}}$$return {
["body"] = 53,
["id"] = "QiyEJD_1103_0722",
["obtiznost"] = 0.6128,
["reseni"] = {
["float"] = 9.2902494331066,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4097,
["jmenovatel"] = 441 },
["render"] = "\\frac{4097}{441}",
["typ"] = "cislo" },
["tex"] = "9\\frac{128}{441}",
["x"] = 9,
["y"] = 128,
["z"] = 441 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{6}}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{1\\frac{2}{6}}{7})^2",
["typ"] = "mocnina" },
["render"] = "8 \\cdot (\\frac{1\\frac{2}{6}}{7})^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "8 \\cdot (\\frac{1\\frac{2}{6}}{7})^2 - (-9)",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.24, bodu=36, $$\frac{8}{9 - 1\frac{3}{5} + (-13) - 11}=\textcolor{white}{-\frac{40}{83}}$$return {
["body"] = 36,
["id"] = "NfgVus_1103_0722",
["obtiznost"] = 0.44,
["reseni"] = {
["float"] = -0.48192771084337,
["objekt"] = {
["hodnota"] = {
["citatel"] = -40,
["jmenovatel"] = 83 },
["render"] = "\\frac{40}{-83}",
["typ"] = "cislo" },
["tex"] = "-\\frac{40}{83}",
["y"] = -40,
["z"] = 83 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.24",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "9 - 1\\frac{3}{5}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "9 - 1\\frac{3}{5} + (-13)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "9 - 1\\frac{3}{5} + (-13) - 11",
["typ"] = "minus" },
["render"] = "\\frac{8}{9 - 1\\frac{3}{5} + (-13) - 11}",
["typ"] = "lomeno" } }
seed: pTczTeVbaH1neAODbSzF_0.25, bodu=10, $$11 \cdot 6 + 9 + (-10) - 7=\textcolor{white}{58}$$return {
["body"] = 10,
["id"] = "Vhf9n0_1103_0722",
["obtiznost"] = 0.25,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 58,
["jmenovatel"] = 1 },
["render"] = "\\frac{58}{1}",
["typ"] = "cislo" },
["tex"] = "58",
["x"] = 58 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "11 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "9 + (-10)",
["typ"] = "plus" },
["render"] = "11 \\cdot 6 + 9 + (-10)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "11 \\cdot 6 + 9 + (-10) - 7",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.26, bodu=42, $$(\frac{\frac{6}{10} + (-9) + 10}{8})^4=\textcolor{white}{\frac{1}{625}}$$return {
["body"] = 42,
["id"] = "a8eQRD_1103_0722",
["obtiznost"] = 0.5104,
["reseni"] = {
["float"] = 0.0016,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 625 },
["render"] = "\\frac{1}{625}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{625}",
["y"] = 1,
["z"] = 625 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.26",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{6}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{6}{10} + (-9)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{6}{10} + (-9) + 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{6}{10} + (-9) + 10}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{\\frac{6}{10} + (-9) + 10}{8})^4",
["typ"] = "mocnina" } }
seed: pTczTeVbaH1neAODbSzF_0.27, bodu=22, $$(10 - (-9)) \cdot \frac{8}{3}=\textcolor{white}{50\frac{2}{3}}$$return {
["body"] = 22,
["id"] = "ZwM6wC_1103_0722",
["obtiznost"] = 0.27,
["reseni"] = {
["float"] = 50.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 152,
["jmenovatel"] = 3 },
["render"] = "\\frac{152}{3}",
["typ"] = "cislo" },
["tex"] = "50\\frac{2}{3}",
["x"] = 50,
["y"] = 2,
["z"] = 3 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.27",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "10 - (-9)",
["typ"] = "minus" },
["render"] = "(10 - (-9))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{8}{3}",
["typ"] = "lomeno" },
["render"] = "(10 - (-9)) \\cdot \\frac{8}{3}",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.28, bodu=23, $$\frac{7 \cdot 14 - (-2)}{9}=\textcolor{white}{11\frac{1}{9}}$$return {
["body"] = 23,
["id"] = "zfio01_1103_0722",
["obtiznost"] = 0.28,
["reseni"] = {
["float"] = 11.111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 100,
["jmenovatel"] = 9 },
["render"] = "\\frac{100}{9}",
["typ"] = "cislo" },
["tex"] = "11\\frac{1}{9}",
["x"] = 11,
["y"] = 1,
["z"] = 9 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "7 \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "7 \\cdot 14 - (-2)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{7 \\cdot 14 - (-2)}{9}",
["typ"] = "lomeno" } }
seed: pTczTeVbaH1neAODbSzF_0.29, bodu=15, $$(14 - 8)^3 \cdot 7 - (8 + 11)=\textcolor{white}{1493}$$return {
["body"] = 15,
["id"] = "kptCYj_1103_0722",
["obtiznost"] = 0.3768,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1493,
["jmenovatel"] = 1 },
["render"] = "\\frac{1493}{1}",
["typ"] = "cislo" },
["tex"] = "1493",
["x"] = 1493 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "14 - 8",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(14 - 8)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(14 - 8)^3 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "8 + 11",
["typ"] = "plus" },
["render"] = "(8 + 11)",
["typ"] = "zavorka" },
["render"] = "(14 - 8)^3 \\cdot 7 - (8 + 11)",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.3, bodu=41, $$\frac{8 - (-9) - 4\frac{3}{7}}{6}=\textcolor{white}{2\frac{2}{21}}$$return {
["body"] = 41,
["id"] = "GFazLj_1103_0722",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = 2.0952380952381,
["objekt"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 21 },
["render"] = "\\frac{88}{42}",
["typ"] = "cislo" },
["tex"] = "2\\frac{2}{21}",
["x"] = 2,
["y"] = 2,
["z"] = 21 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "8 - (-9)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "8 - (-9) - 4\\frac{3}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{8 - (-9) - 4\\frac{3}{7}}{6}",
["typ"] = "lomeno" } }
seed: pTczTeVbaH1neAODbSzF_0.31, bodu=42, $$\frac{11}{-11 \cdot 2\frac{5}{8}} - (-7)=\textcolor{white}{6\frac{13}{21}}$$return {
["body"] = 42,
["id"] = "NY8I8I_1103_0722",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = 6.6190476190476,
["objekt"] = {
["hodnota"] = {
["citatel"] = 139,
["jmenovatel"] = 21 },
["render"] = "\\frac{139}{21}",
["typ"] = "cislo" },
["tex"] = "6\\frac{13}{21}",
["x"] = 6,
["y"] = 13,
["z"] = 21 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 2\\frac{5}{8}",
["typ"] = "krat" },
["render"] = "\\frac{11}{-11 \\cdot 2\\frac{5}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-11 \\cdot 2\\frac{5}{8}} - (-7)",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.32, bodu=13, $$-14 - 10 \cdot (7 + (12 + (-10))^4)=\textcolor{white}{-244}$$return {
["body"] = 13,
["id"] = "vKNpYA_1103_0722",
["obtiznost"] = 0.3268,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -244,
["jmenovatel"] = 1 },
["render"] = "\\frac{-244}{1}",
["typ"] = "cislo" },
["tex"] = "-244",
["tex_float"] = "-244",
["x"] = -244 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.32",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "12 + (-10)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(12 + (-10))^4",
["typ"] = "mocnina" },
["render"] = "7 + (12 + (-10))^4",
["typ"] = "plus" },
["render"] = "(7 + (12 + (-10))^4)",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (7 + (12 + (-10))^4)",
["typ"] = "krat" },
["render"] = "-14 - 10 \\cdot (7 + (12 + (-10))^4)",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.33, bodu=22, $$((8 + (-6)) \cdot 11)^2 \cdot 9=\textcolor{white}{4356}$$return {
["body"] = 22,
["id"] = "ZzqmkU_1103_0722",
["obtiznost"] = 0.524,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 4356,
["jmenovatel"] = 1 },
["render"] = "\\frac{4356}{1}",
["typ"] = "cislo" },
["tex"] = "4356",
["x"] = 4356 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.33",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "8 + (-6)",
["typ"] = "plus" },
["render"] = "(8 + (-6))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(8 + (-6)) \\cdot 11",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "((8 + (-6)) \\cdot 11)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "((8 + (-6)) \\cdot 11)^2 \\cdot 9",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.34, bodu=27, $$11 \cdot \frac{7}{8} \cdot -10=\textcolor{white}{-96{,}25}$$return {
["body"] = 27,
["id"] = "OUpwYr_1103_0722",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = -96.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -385,
["jmenovatel"] = 4 },
["render"] = "\\frac{-385}{4}",
["typ"] = "cislo" },
["tex"] = "-96\\frac{1}{4}",
["tex_float"] = "-96{,}25",
["x"] = -96,
["y"] = 1,
["z"] = 4 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{7}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{7}{8} \\cdot -10",
["typ"] = "krat" },
["render"] = "11 \\cdot \\frac{7}{8} \\cdot -10",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.35, bodu=68, $$2\frac{5}{7} + \frac{1\frac{5}{11}}{3 \cdot 10}=\textcolor{white}{2\frac{881}{1155}}$$return {
["body"] = 68,
["id"] = "Gay1oW_1103_0722",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = 2.7627705627706,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3191,
["jmenovatel"] = 1155 },
["render"] = "\\frac{3191}{1155}",
["typ"] = "cislo" },
["tex"] = "2\\frac{881}{1155}",
["x"] = 2,
["y"] = 881,
["z"] = 1155 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.35",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3 \\cdot 10",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{5}{11}}{3 \\cdot 10}",
["typ"] = "lomeno" },
["render"] = "2\\frac{5}{7} + \\frac{1\\frac{5}{11}}{3 \\cdot 10}",
["typ"] = "plus" } }
seed: pTczTeVbaH1neAODbSzF_0.36, bodu=47, $$\frac{\frac{-9}{1\frac{5}{8}}}{-8} \cdot 12=\textcolor{white}{8\frac{4}{13}}$$return {
["body"] = 47,
["id"] = "daEQVu_1103_0722",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = 8.3076923076923,
["objekt"] = {
["hodnota"] = {
["citatel"] = 108,
["jmenovatel"] = 13 },
["render"] = "\\frac{108}{13}",
["typ"] = "cislo" },
["tex"] = "8\\frac{4}{13}",
["x"] = 8,
["y"] = 4,
["z"] = 13 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{1\\frac{5}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-9}{1\\frac{5}{8}}}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-9}{1\\frac{5}{8}}}{-8} \\cdot 12",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.37, bodu=15, $$13 \cdot -9 + (-13 - 15) + 8=\textcolor{white}{-137}$$return {
["body"] = 15,
["id"] = "2N7AiH_1103_0722",
["obtiznost"] = 0.37,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -137,
["jmenovatel"] = 1 },
["render"] = "\\frac{-137}{1}",
["typ"] = "cislo" },
["tex"] = "-137",
["tex_float"] = "-137",
["x"] = -137 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "13 \\cdot -9",
["typ"] = "krat" },
["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"] = "13 \\cdot -9 + (-13 - 15)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "13 \\cdot -9 + (-13 - 15) + 8",
["typ"] = "plus" } }
seed: pTczTeVbaH1neAODbSzF_0.38, bodu=31, $$8 \cdot (\frac{8}{-8} - 12)=\textcolor{white}{-104}$$return {
["body"] = 31,
["id"] = "B7AJkB_1103_0722",
["obtiznost"] = 0.38,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -104,
["jmenovatel"] = 1 },
["render"] = "\\frac{-104}{1}",
["typ"] = "cislo" },
["tex"] = "-104",
["x"] = -104 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.38",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-8} - 12",
["typ"] = "minus" },
["render"] = "(\\frac{8}{-8} - 12)",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (\\frac{8}{-8} - 12)",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.39, bodu=39, $$11 - \frac{9}{(-14 + 8)^3} + 15=\textcolor{white}{26\frac{1}{24}}$$return {
["body"] = 39,
["id"] = "6jlXLX_1103_0722",
["obtiznost"] = 0.4768,
["reseni"] = {
["float"] = 26.041666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 625,
["jmenovatel"] = 24 },
["render"] = "\\frac{625}{24}",
["typ"] = "cislo" },
["tex"] = "26\\frac{1}{24}",
["x"] = 26,
["y"] = 1,
["z"] = 24 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-14 + 8",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-14 + 8)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{9}{(-14 + 8)^3}",
["typ"] = "lomeno" },
["render"] = "11 - \\frac{9}{(-14 + 8)^3}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "11 - \\frac{9}{(-14 + 8)^3} + 15",
["typ"] = "plus" } }
seed: pTczTeVbaH1neAODbSzF_0.4, bodu=32, $$\frac{7 + 10 - (-6)}{-16 - (-11)}=\textcolor{white}{-4{,}6}$$return {
["body"] = 32,
["id"] = "MijiCE_1103_0722",
["obtiznost"] = 0.4,
["reseni"] = {
["float"] = -4.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 5 },
["render"] = "\\frac{23}{-5}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{3}{5}",
["tex_float"] = "-4{,}6",
["x"] = -4,
["y"] = 3,
["z"] = 5 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "10 - (-6)",
["typ"] = "minus" },
["render"] = "7 + 10 - (-6)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-16 - (-11)",
["typ"] = "minus" },
["render"] = "\\frac{7 + 10 - (-6)}{-16 - (-11)}",
["typ"] = "lomeno" } }
seed: pTczTeVbaH1neAODbSzF_0.41, bodu=75, $$(16 + 1\frac{2}{5}) \cdot 9 - (10 - 1\frac{3}{6})=\textcolor{white}{148{,}1}$$return {
["body"] = 75,
["id"] = "u7eOJB_1103_0722",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = 148.1,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1481,
["jmenovatel"] = 10 },
["render"] = "\\frac{1481}{10}",
["typ"] = "cislo" },
["tex"] = "148\\frac{1}{10}",
["tex_float"] = "148{,}1",
["x"] = 148,
["y"] = 1,
["z"] = 10 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "16 + 1\\frac{2}{5}",
["typ"] = "plus" },
["render"] = "(16 + 1\\frac{2}{5})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(16 + 1\\frac{2}{5}) \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "10 - 1\\frac{3}{6}",
["typ"] = "minus" },
["render"] = "(10 - 1\\frac{3}{6})",
["typ"] = "zavorka" },
["render"] = "(16 + 1\\frac{2}{5}) \\cdot 9 - (10 - 1\\frac{3}{6})",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.42, bodu=76, $$(2\frac{5}{11} + (-10 + 15)) \cdot 2\frac{3}{4} \cdot -11=\textcolor{white}{-225{,}5}$$return {
["body"] = 76,
["id"] = "HMhSu5_1103_0722",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = -225.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -451,
["jmenovatel"] = 2 },
["render"] = "\\frac{-9922}{44}",
["typ"] = "cislo" },
["tex"] = "-225\\frac{1}{2}",
["tex_float"] = "-225{,}5",
["x"] = -225,
["y"] = 1,
["z"] = 2 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.42",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-10 + 15",
["typ"] = "plus" },
["render"] = "2\\frac{5}{11} + (-10 + 15)",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{11} + (-10 + 15))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{4} \\cdot -11",
["typ"] = "krat" },
["render"] = "(2\\frac{5}{11} + (-10 + 15)) \\cdot 2\\frac{3}{4} \\cdot -11",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.43, bodu=78, $$\frac{\frac{-4}{-14}}{\frac{3\frac{2}{10}}{4\frac{2}{8}} + 10}=\textcolor{white}{\frac{85}{3199}}$$return {
["body"] = 78,
["id"] = "8OXqjn_1103_0722",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = 0.026570803376055,
["objekt"] = {
["hodnota"] = {
["citatel"] = 85,
["jmenovatel"] = 3199 },
["render"] = "\\frac{170}{6398}",
["typ"] = "cislo" },
["tex"] = "\\frac{85}{3199}",
["y"] = 85,
["z"] = 3199 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{10}}{4\\frac{2}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{10}}{4\\frac{2}{8}} + 10",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{-4}{-14}}{\\frac{3\\frac{2}{10}}{4\\frac{2}{8}} + 10}",
["typ"] = "lomeno" } }
seed: pTczTeVbaH1neAODbSzF_0.44, bodu=42, $$(\frac{10 \cdot -8 - 12}{11} + 9)^2=\textcolor{white}{\frac{49}{121}}$$return {
["body"] = 42,
["id"] = "p3aMsc_1103_0722",
["obtiznost"] = 0.508,
["reseni"] = {
["float"] = 0.40495867768595,
["objekt"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 121 },
["render"] = "\\frac{49}{121}",
["typ"] = "cislo" },
["tex"] = "\\frac{49}{121}",
["y"] = 49,
["z"] = 121 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.44",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "10 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "10 \\cdot -8 - 12",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{10 \\cdot -8 - 12}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{10 \\cdot -8 - 12}{11} + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(\\frac{10 \\cdot -8 - 12}{11} + 9)^2",
["typ"] = "mocnina" } }
seed: pTczTeVbaH1neAODbSzF_0.45, bodu=106, $$-14 - 3\frac{1}{3} + 3\frac{3}{9} \cdot \frac{15}{3\frac{5}{7}}=\textcolor{white}{-3\frac{34}{39}}$$return {
["body"] = 106,
["id"] = "nJrGLE_1103_0722",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = -3.8717948717949,
["objekt"] = {
["hodnota"] = {
["citatel"] = -151,
["jmenovatel"] = 39 },
["render"] = "\\frac{-151}{39}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{34}{39}",
["x"] = -3,
["y"] = 34,
["z"] = 39 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "-14 - 3\\frac{1}{3}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{3\\frac{5}{7}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{3}{9} \\cdot \\frac{15}{3\\frac{5}{7}}",
["typ"] = "krat" },
["render"] = "-14 - 3\\frac{1}{3} + 3\\frac{3}{9} \\cdot \\frac{15}{3\\frac{5}{7}}",
["typ"] = "plus" } }
seed: pTczTeVbaH1neAODbSzF_0.46, bodu=109, $$1\frac{3}{10} \cdot (13 + 10)^2 \cdot (4\frac{5}{6} + 15)=\textcolor{white}{13639\frac{23}{60}}$$return {
["body"] = 109,
["id"] = "CpEbET_1103_0722",
["obtiznost"] = 1.072,
["reseni"] = {
["float"] = 13639.383333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 818363,
["jmenovatel"] = 60 },
["render"] = "\\frac{818363}{60}",
["typ"] = "cislo" },
["tex"] = "13639\\frac{23}{60}",
["x"] = 13639,
["y"] = 23,
["z"] = 60 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "13 + 10",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(13 + 10)^2",
["typ"] = "mocnina" },
["render"] = "1\\frac{3}{10} \\cdot (13 + 10)^2",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 6 },
["render"] = "4\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{6} + 15",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{6} + 15)",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{10} \\cdot (13 + 10)^2 \\cdot (4\\frac{5}{6} + 15)",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.47, bodu=83, $$-9 - (6 - (2\frac{3}{9} + \frac{3\frac{1}{3}}{13}))=\textcolor{white}{-12\frac{16}{39}}$$return {
["body"] = 83,
["id"] = "6m8IMP_1103_0722",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = -12.410256410256,
["objekt"] = {
["hodnota"] = {
["citatel"] = -484,
["jmenovatel"] = 39 },
["render"] = "\\frac{-484}{39}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{16}{39}",
["x"] = -12,
["y"] = 16,
["z"] = 39 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.47",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{3}}{13}",
["typ"] = "lomeno" },
["render"] = "2\\frac{3}{9} + \\frac{3\\frac{1}{3}}{13}",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{9} + \\frac{3\\frac{1}{3}}{13})",
["typ"] = "zavorka" },
["render"] = "6 - (2\\frac{3}{9} + \\frac{3\\frac{1}{3}}{13})",
["typ"] = "minus" },
["render"] = "(6 - (2\\frac{3}{9} + \\frac{3\\frac{1}{3}}{13}))",
["typ"] = "zavorka" },
["render"] = "-9 - (6 - (2\\frac{3}{9} + \\frac{3\\frac{1}{3}}{13}))",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.48, bodu=20, $$(14 \cdot 7 - (7 + (-11))^2) \cdot -9=\textcolor{white}{-738}$$return {
["body"] = 20,
["id"] = "53LHyu_1103_0722",
["obtiznost"] = 0.4868,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -738,
["jmenovatel"] = 1 },
["render"] = "\\frac{-738}{1}",
["typ"] = "cislo" },
["tex"] = "-738",
["x"] = -738 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.48",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "14 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "7 + (-11)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(7 + (-11))^2",
["typ"] = "mocnina" },
["render"] = "14 \\cdot 7 - (7 + (-11))^2",
["typ"] = "minus" },
["render"] = "(14 \\cdot 7 - (7 + (-11))^2)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(14 \\cdot 7 - (7 + (-11))^2) \\cdot -9",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.49, bodu=112, $$(1\frac{4}{9} - (-5) + 4\frac{3}{4}) \cdot \frac{-17}{2\frac{2}{8}}=\textcolor{white}{-84\frac{47}{81}}$$return {
["body"] = 112,
["id"] = "9VzGsC_1103_0722",
["obtiznost"] = 1.09,
["reseni"] = {
["float"] = -84.58024691358,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6851,
["jmenovatel"] = 81 },
["render"] = "\\frac{-27404}{324}",
["typ"] = "cislo" },
["tex"] = "-84\\frac{47}{81}",
["x"] = -84,
["y"] = 47,
["z"] = 81 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.49",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{9} - (-5)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{9} - (-5) + 4\\frac{3}{4}",
["typ"] = "plus" },
["render"] = "(1\\frac{4}{9} - (-5) + 4\\frac{3}{4})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{2\\frac{2}{8}}",
["typ"] = "lomeno" },
["render"] = "(1\\frac{4}{9} - (-5) + 4\\frac{3}{4}) \\cdot \\frac{-17}{2\\frac{2}{8}}",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.5, bodu=62, $$-8 \cdot 17 \cdot 9 \cdot 4\frac{5}{7}=\textcolor{white}{-5770\frac{2}{7}}$$return {
["body"] = 62,
["id"] = "SHs6av_1103_0722",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = -5770.2857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -40392,
["jmenovatel"] = 7 },
["render"] = "\\frac{-40392}{7}",
["typ"] = "cislo" },
["tex"] = "-5770\\frac{2}{7}",
["x"] = -5770,
["y"] = 2,
["z"] = 7 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "17 \\cdot 9",
["typ"] = "krat" },
["render"] = "-8 \\cdot 17 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 17 \\cdot 9 \\cdot 4\\frac{5}{7}",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.51, bodu=75, $$(\frac{4 \cdot 5}{-5})^4 - (2\frac{3}{10} + (-15))=\textcolor{white}{268{,}7}$$return {
["body"] = 75,
["id"] = "wK7uxj_1103_0722",
["obtiznost"] = 0.8128,
["reseni"] = {
["float"] = 268.7,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2687,
["jmenovatel"] = 10 },
["render"] = "\\frac{2687}{10}",
["typ"] = "cislo" },
["tex"] = "268\\frac{7}{10}",
["tex_float"] = "268{,}7",
["x"] = 268,
["y"] = 7,
["z"] = 10 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.51",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{4 \\cdot 5}{-5}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{4 \\cdot 5}{-5})^4",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{10} + (-15)",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{10} + (-15))",
["typ"] = "zavorka" },
["render"] = "(\\frac{4 \\cdot 5}{-5})^4 - (2\\frac{3}{10} + (-15))",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.52, bodu=102, $$3\frac{4}{10} + 9 - (-8 - (-14 - 1\frac{4}{9} + 14)^2)=\textcolor{white}{22\frac{197}{405}}$$return {
["body"] = 102,
["id"] = "8xvMbs_1103_0722",
["obtiznost"] = 1.02,
["reseni"] = {
["float"] = 22.486419753086,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9107,
["jmenovatel"] = 405 },
["render"] = "\\frac{9107}{405}",
["typ"] = "cislo" },
["tex"] = "22\\frac{197}{405}",
["x"] = 22,
["y"] = 197,
["z"] = 405 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} + 9",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-14 - 1\\frac{4}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-14 - 1\\frac{4}{9} + 14",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-14 - 1\\frac{4}{9} + 14)^2",
["typ"] = "mocnina" },
["render"] = "-8 - (-14 - 1\\frac{4}{9} + 14)^2",
["typ"] = "minus" },
["render"] = "(-8 - (-14 - 1\\frac{4}{9} + 14)^2)",
["typ"] = "zavorka" },
["render"] = "3\\frac{4}{10} + 9 - (-8 - (-14 - 1\\frac{4}{9} + 14)^2)",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.53, bodu=66, $$\frac{1\frac{4}{5}}{\frac{12 - 4 - 7}{9}}=\textcolor{white}{16{,}2}$$return {
["body"] = 66,
["id"] = "Xnpm9A_1103_0722",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = 16.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 5 },
["render"] = "\\frac{81}{5}",
["typ"] = "cislo" },
["tex"] = "16\\frac{1}{5}",
["tex_float"] = "16{,}2",
["x"] = 16,
["y"] = 1,
["z"] = 5 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.53",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "12 - 4",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "12 - 4 - 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{12 - 4 - 7}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{4}{5}}{\\frac{12 - 4 - 7}{9}}",
["typ"] = "lomeno" } }
seed: pTczTeVbaH1neAODbSzF_0.54, bodu=92, $$16 + 3\frac{3}{5} \cdot \frac{6}{3\frac{1}{7} + 11}=\textcolor{white}{17\frac{29}{55}}$$return {
["body"] = 92,
["id"] = "Xfnjqt_1103_0722",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = 17.527272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = 964,
["jmenovatel"] = 55 },
["render"] = "\\frac{964}{55}",
["typ"] = "cislo" },
["tex"] = "17\\frac{29}{55}",
["x"] = 17,
["y"] = 29,
["z"] = 55 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.54",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{7} + 11",
["typ"] = "plus" },
["render"] = "\\frac{6}{3\\frac{1}{7} + 11}",
["typ"] = "lomeno" },
["render"] = "3\\frac{3}{5} \\cdot \\frac{6}{3\\frac{1}{7} + 11}",
["typ"] = "krat" },
["render"] = "16 + 3\\frac{3}{5} \\cdot \\frac{6}{3\\frac{1}{7} + 11}",
["typ"] = "plus" } }
seed: pTczTeVbaH1neAODbSzF_0.55, bodu=80, $$(\frac{(-6 - 9)^2}{-7} - (-18) - (-11))^2=\textcolor{white}{9\frac{43}{49}}$$return {
["body"] = 80,
["id"] = "2B16Ew_1103_0722",
["obtiznost"] = 0.8536,
["reseni"] = {
["float"] = 9.8775510204082,
["objekt"] = {
["hodnota"] = {
["citatel"] = 484,
["jmenovatel"] = 49 },
["render"] = "\\frac{484}{49}",
["typ"] = "cislo" },
["tex"] = "9\\frac{43}{49}",
["x"] = 9,
["y"] = 43,
["z"] = 49 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.55",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-6 - 9",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-6 - 9)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{(-6 - 9)^2}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{(-6 - 9)^2}{-7} - (-18)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{(-6 - 9)^2}{-7} - (-18) - (-11)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(\\frac{(-6 - 9)^2}{-7} - (-18) - (-11))^2",
["typ"] = "mocnina" } }
seed: pTczTeVbaH1neAODbSzF_0.56, bodu=94, $$\frac{-11 \cdot 4\frac{1}{7}}{-10 - 1\frac{2}{6} \cdot 10}=\textcolor{white}{1\frac{467}{490}}$$return {
["body"] = 94,
["id"] = "3jVgVR_1103_0722",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = 1.9530612244898,
["objekt"] = {
["hodnota"] = {
["citatel"] = 957,
["jmenovatel"] = 490 },
["render"] = "\\frac{-957}{-490}",
["typ"] = "cislo" },
["tex"] = "1\\frac{467}{490}",
["x"] = 1,
["y"] = 467,
["z"] = 490 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 4\\frac{1}{7}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{6} \\cdot 10",
["typ"] = "krat" },
["render"] = "-10 - 1\\frac{2}{6} \\cdot 10",
["typ"] = "minus" },
["render"] = "\\frac{-11 \\cdot 4\\frac{1}{7}}{-10 - 1\\frac{2}{6} \\cdot 10}",
["typ"] = "lomeno" } }
seed: pTczTeVbaH1neAODbSzF_0.57, bodu=70, $$\frac{\frac{13}{-10} + 11}{\frac{1\frac{4}{9}}{-7}}=\textcolor{white}{-47\frac{1}{130}}$$return {
["body"] = 70,
["id"] = "2oY66f_1103_0722",
["obtiznost"] = 0.77,
["reseni"] = {
["float"] = -47.007692307692,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6111,
["jmenovatel"] = 130 },
["render"] = "\\frac{6111}{-130}",
["typ"] = "cislo" },
["tex"] = "-47\\frac{1}{130}",
["x"] = -47,
["y"] = 1,
["z"] = 130 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-10} + 11",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{9}}{-7}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{13}{-10} + 11}{\\frac{1\\frac{4}{9}}{-7}}",
["typ"] = "lomeno" } }
seed: pTczTeVbaH1neAODbSzF_0.58, bodu=125, $$\frac{11 - 1\frac{5}{10}}{\frac{1\frac{3}{7}}{2\frac{2}{6}} + 7}=\textcolor{white}{1\frac{185}{746}}$$return {
["body"] = 125,
["id"] = "95iz31_1103_0722",
["obtiznost"] = 1.18,
["reseni"] = {
["float"] = 1.2479892761394,
["objekt"] = {
["hodnota"] = {
["citatel"] = 931,
["jmenovatel"] = 746 },
["render"] = "\\frac{931}{746}",
["typ"] = "cislo" },
["tex"] = "1\\frac{185}{746}",
["x"] = 1,
["y"] = 185,
["z"] = 746 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "11 - 1\\frac{5}{10}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{7}}{2\\frac{2}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{7}}{2\\frac{2}{6}} + 7",
["typ"] = "plus" },
["render"] = "\\frac{11 - 1\\frac{5}{10}}{\\frac{1\\frac{3}{7}}{2\\frac{2}{6}} + 7}",
["typ"] = "lomeno" } }
seed: pTczTeVbaH1neAODbSzF_0.59, bodu=148, $$(2\frac{3}{10} + (\frac{8}{2\frac{4}{7}})^2 - 13) \cdot -4=\textcolor{white}{4\frac{34}{405}}$$return {
["body"] = 148,
["id"] = "o7p174_1103_0722",
["obtiznost"] = 1.336,
["reseni"] = {
["float"] = 4.083950617284,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1654,
["jmenovatel"] = 405 },
["render"] = "\\frac{3308}{810}",
["typ"] = "cislo" },
["tex"] = "4\\frac{34}{405}",
["x"] = 4,
["y"] = 34,
["z"] = 405 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.59",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{2\\frac{4}{7}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8}{2\\frac{4}{7}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(\\frac{8}{2\\frac{4}{7}})^2 - 13",
["typ"] = "minus" },
["render"] = "2\\frac{3}{10} + (\\frac{8}{2\\frac{4}{7}})^2 - 13",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{10} + (\\frac{8}{2\\frac{4}{7}})^2 - 13)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "(2\\frac{3}{10} + (\\frac{8}{2\\frac{4}{7}})^2 - 13) \\cdot -4",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.6, bodu=74, $$\frac{16}{(-7 - 9) \cdot 3\frac{5}{10} \cdot -14}=\textcolor{white}{\frac{1}{49}}$$return {
["body"] = 74,
["id"] = "1YKOGz_1103_0722",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = 0.020408163265306,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 49 },
["render"] = "\\frac{16}{784}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{49}",
["y"] = 1,
["z"] = 49 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.6",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-7 - 9",
["typ"] = "minus" },
["render"] = "(-7 - 9)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "(-7 - 9) \\cdot 3\\frac{5}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "(-7 - 9) \\cdot 3\\frac{5}{10} \\cdot -14",
["typ"] = "krat" },
["render"] = "\\frac{16}{(-7 - 9) \\cdot 3\\frac{5}{10} \\cdot -14}",
["typ"] = "lomeno" } }
seed: pTczTeVbaH1neAODbSzF_0.61, bodu=101, $$\frac{9}{1\frac{4}{6}} + \frac{3\frac{5}{8}}{6} - (9 + (-13))=\textcolor{white}{10\frac{1}{240}}$$return {
["body"] = 101,
["id"] = "Lqnath_1103_0722",
["obtiznost"] = 1.01,
["reseni"] = {
["float"] = 10.004166666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2401,
["jmenovatel"] = 240 },
["render"] = "\\frac{2401}{240}",
["typ"] = "cislo" },
["tex"] = "10\\frac{1}{240}",
["x"] = 10,
["y"] = 1,
["z"] = 240 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{1\\frac{4}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{8}}{6}",
["typ"] = "lomeno" },
["render"] = "\\frac{9}{1\\frac{4}{6}} + \\frac{3\\frac{5}{8}}{6}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "9 + (-13)",
["typ"] = "plus" },
["render"] = "(9 + (-13))",
["typ"] = "zavorka" },
["render"] = "\\frac{9}{1\\frac{4}{6}} + \\frac{3\\frac{5}{8}}{6} - (9 + (-13))",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.62, bodu=131, $$3\frac{1}{3} - 3\frac{2}{4} - (16 - 9) - (1\frac{1}{8} + 12)=\textcolor{white}{-20\frac{7}{24}}$$return {
["body"] = 131,
["id"] = "XBlN28_1103_0722",
["obtiznost"] = 1.22,
["reseni"] = {
["float"] = -20.291666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -487,
["jmenovatel"] = 24 },
["render"] = "\\frac{-974}{48}",
["typ"] = "cislo" },
["tex"] = "-20\\frac{7}{24}",
["x"] = -20,
["y"] = 7,
["z"] = 24 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{3} - 3\\frac{2}{4}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "16 - 9",
["typ"] = "minus" },
["render"] = "(16 - 9)",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{3} - 3\\frac{2}{4} - (16 - 9)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{8} + 12",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{8} + 12)",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{3} - 3\\frac{2}{4} - (16 - 9) - (1\\frac{1}{8} + 12)",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.63, bodu=132, $$1\frac{5}{11} - (-8) + 2\frac{1}{5} + (-10 \cdot -10 - 2\frac{1}{8})=\textcolor{white}{109\frac{233}{440}}$$return {
["body"] = 132,
["id"] = "vNDgu3_1103_0722",
["obtiznost"] = 1.23,
["reseni"] = {
["float"] = 109.52954545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = 48193,
["jmenovatel"] = 440 },
["render"] = "\\frac{48193}{440}",
["typ"] = "cislo" },
["tex"] = "109\\frac{233}{440}",
["x"] = 109,
["y"] = 233,
["z"] = 440 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{11} - (-8)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-10 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "-10 \\cdot -10 - 2\\frac{1}{8}",
["typ"] = "minus" },
["render"] = "2\\frac{1}{5} + (-10 \\cdot -10 - 2\\frac{1}{8})",
["typ"] = "plus" },
["render"] = "1\\frac{5}{11} - (-8) + 2\\frac{1}{5} + (-10 \\cdot -10 - 2\\frac{1}{8})",
["typ"] = "plus" } }
seed: pTczTeVbaH1neAODbSzF_0.64, bodu=105, $$\frac{1\frac{3}{6}}{4\frac{1}{5} + 14} - (-11 \cdot 14) - 19=\textcolor{white}{135\frac{15}{182}}$$return {
["body"] = 105,
["id"] = "ohL5RB_1103_0722",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = 135.08241758242,
["objekt"] = {
["hodnota"] = {
["citatel"] = 24585,
["jmenovatel"] = 182 },
["render"] = "\\frac{24585}{182}",
["typ"] = "cislo" },
["tex"] = "135\\frac{15}{182}",
["x"] = 135,
["y"] = 15,
["z"] = 182 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} + 14",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{3}{6}}{4\\frac{1}{5} + 14}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 14",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{3}{6}}{4\\frac{1}{5} + 14} - (-11 \\cdot 14)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{6}}{4\\frac{1}{5} + 14} - (-11 \\cdot 14) - 19",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.65, bodu=170, $$4\frac{4}{8} - ((-4 - (-11))^2 + \frac{1\frac{4}{10}}{1\frac{4}{11} - 2\frac{3}{4}})=\textcolor{white}{-43\frac{299}{610}}$$return {
["body"] = 170,
["id"] = "gGw16v_1103_0722",
["obtiznost"] = 1.47,
["reseni"] = {
["float"] = -43.490163934426,
["objekt"] = {
["hodnota"] = {
["citatel"] = -26529,
["jmenovatel"] = 610 },
["render"] = "\\frac{-26529}{610}",
["typ"] = "cislo" },
["tex"] = "-43\\frac{299}{610}",
["x"] = -43,
["y"] = 299,
["z"] = 610 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.65",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-4 - (-11)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-4 - (-11))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{11} - 2\\frac{3}{4}",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{4}{10}}{1\\frac{4}{11} - 2\\frac{3}{4}}",
["typ"] = "lomeno" },
["render"] = "(-4 - (-11))^2 + \\frac{1\\frac{4}{10}}{1\\frac{4}{11} - 2\\frac{3}{4}}",
["typ"] = "plus" },
["render"] = "((-4 - (-11))^2 + \\frac{1\\frac{4}{10}}{1\\frac{4}{11} - 2\\frac{3}{4}})",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{8} - ((-4 - (-11))^2 + \\frac{1\\frac{4}{10}}{1\\frac{4}{11} - 2\\frac{3}{4}})",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.66, bodu=108, $$1\frac{3}{10} \cdot \frac{-8 \cdot 15}{4\frac{1}{4} \cdot -14}=\textcolor{white}{2\frac{74}{119}}$$return {
["body"] = 108,
["id"] = "ESjiKm_1103_0722",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = 2.6218487394958,
["objekt"] = {
["hodnota"] = {
["citatel"] = 312,
["jmenovatel"] = 119 },
["render"] = "\\frac{3120}{1190}",
["typ"] = "cislo" },
["tex"] = "2\\frac{74}{119}",
["x"] = 2,
["y"] = 74,
["z"] = 119 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.66",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{4} \\cdot -14",
["typ"] = "krat" },
["render"] = "\\frac{-8 \\cdot 15}{4\\frac{1}{4} \\cdot -14}",
["typ"] = "lomeno" },
["render"] = "1\\frac{3}{10} \\cdot \\frac{-8 \\cdot 15}{4\\frac{1}{4} \\cdot -14}",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.67, bodu=138, $$-7 \cdot (-10 \cdot 1\frac{1}{2} \cdot 3\frac{5}{10} - 2\frac{3}{10})=\textcolor{white}{383{,}6}$$return {
["body"] = 138,
["id"] = "rllOJB_1103_0722",
["obtiznost"] = 1.27,
["reseni"] = {
["float"] = 383.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1918,
["jmenovatel"] = 5 },
["render"] = "\\frac{1918}{5}",
["typ"] = "cislo" },
["tex"] = "383\\frac{3}{5}",
["tex_float"] = "383{,}6",
["x"] = 383,
["y"] = 3,
["z"] = 5 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.67",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 1\\frac{1}{2}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 1\\frac{1}{2} \\cdot 3\\frac{5}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 1\\frac{1}{2} \\cdot 3\\frac{5}{10} - 2\\frac{3}{10}",
["typ"] = "minus" },
["render"] = "(-10 \\cdot 1\\frac{1}{2} \\cdot 3\\frac{5}{10} - 2\\frac{3}{10})",
["typ"] = "zavorka" },
["render"] = "-7 \\cdot (-10 \\cdot 1\\frac{1}{2} \\cdot 3\\frac{5}{10} - 2\\frac{3}{10})",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.68, bodu=140, $$\frac{9}{2\frac{4}{11}} \cdot 3\frac{5}{11} - \frac{4\frac{2}{11}}{-11}=\textcolor{white}{13\frac{840}{1573}}$$return {
["body"] = 140,
["id"] = "iLVJfS_1103_0722",
["obtiznost"] = 1.28,
["reseni"] = {
["float"] = 13.534011443102,
["objekt"] = {
["hodnota"] = {
["citatel"] = 21289,
["jmenovatel"] = 1573 },
["render"] = "\\frac{21289}{1573}",
["typ"] = "cislo" },
["tex"] = "13\\frac{840}{1573}",
["x"] = 13,
["y"] = 840,
["z"] = 1573 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{2\\frac{4}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{2\\frac{4}{11}} \\cdot 3\\frac{5}{11}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 46,
["jmenovatel"] = 11 },
["render"] = "4\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{11}}{-11}",
["typ"] = "lomeno" },
["render"] = "\\frac{9}{2\\frac{4}{11}} \\cdot 3\\frac{5}{11} - \\frac{4\\frac{2}{11}}{-11}",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.69, bodu=85, $$(-12 - (-7)) \cdot (-13 + (-5)) - (-7 - 3\frac{2}{4})=\textcolor{white}{100{,}5}$$return {
["body"] = 85,
["id"] = "VXHeUb_1103_0722",
["obtiznost"] = 0.89,
["reseni"] = {
["float"] = 100.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 201,
["jmenovatel"] = 2 },
["render"] = "\\frac{201}{2}",
["typ"] = "cislo" },
["tex"] = "100\\frac{1}{2}",
["tex_float"] = "100{,}5",
["x"] = 100,
["y"] = 1,
["z"] = 2 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-12 - (-7)",
["typ"] = "minus" },
["render"] = "(-12 - (-7))",
["typ"] = "zavorka" },
["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"] = "(-12 - (-7)) \\cdot (-13 + (-5))",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "-7 - 3\\frac{2}{4}",
["typ"] = "minus" },
["render"] = "(-7 - 3\\frac{2}{4})",
["typ"] = "zavorka" },
["render"] = "(-12 - (-7)) \\cdot (-13 + (-5)) - (-7 - 3\\frac{2}{4})",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.7, bodu=113, $$3\frac{3}{5} \cdot \frac{-14}{-11} \cdot \frac{12}{3\frac{5}{12}}=\textcolor{white}{16\frac{208}{2255}}$$return {
["body"] = 113,
["id"] = "xwffr5_1103_0722",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = 16.092239467849,
["objekt"] = {
["hodnota"] = {
["citatel"] = 36288,
["jmenovatel"] = 2255 },
["render"] = "\\frac{36288}{2255}",
["typ"] = "cislo" },
["tex"] = "16\\frac{208}{2255}",
["x"] = 16,
["y"] = 208,
["z"] = 2255 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.7",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{3\\frac{5}{12}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-14}{-11} \\cdot \\frac{12}{3\\frac{5}{12}}",
["typ"] = "krat" },
["render"] = "3\\frac{3}{5} \\cdot \\frac{-14}{-11} \\cdot \\frac{12}{3\\frac{5}{12}}",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.71, bodu=115, $$\frac{4\frac{4}{12}}{-9 + (-7) - (2\frac{5}{11} + 13 - 5 + (-6))}=\textcolor{white}{-\frac{143}{675}}$$return {
["body"] = 115,
["id"] = "HVACXh_1103_0722",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = -0.21185185185185,
["objekt"] = {
["hodnota"] = {
["citatel"] = -143,
["jmenovatel"] = 675 },
["render"] = "\\frac{143}{-675}",
["typ"] = "cislo" },
["tex"] = "-\\frac{143}{675}",
["y"] = -143,
["z"] = 675 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.71",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["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" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "13 - 5",
["typ"] = "minus" },
["render"] = "2\\frac{5}{11} + 13 - 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} + 13 - 5 + (-6)",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{11} + 13 - 5 + (-6))",
["typ"] = "zavorka" },
["render"] = "-9 + (-7) - (2\\frac{5}{11} + 13 - 5 + (-6))",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{4}{12}}{-9 + (-7) - (2\\frac{5}{11} + 13 - 5 + (-6))}",
["typ"] = "lomeno" } }
seed: pTczTeVbaH1neAODbSzF_0.72, bodu=123, $$\frac{2\frac{1}{7} \cdot (18 + (14 + (-9))^3)}{-14 + 3\frac{4}{13}}=\textcolor{white}{-28\frac{641}{973}}$$return {
["body"] = 123,
["id"] = "UGKZlp_1103_0722",
["obtiznost"] = 1.1704,
["reseni"] = {
["float"] = -28.65878725591,
["objekt"] = {
["hodnota"] = {
["citatel"] = -27885,
["jmenovatel"] = 973 },
["render"] = "\\frac{27885}{-973}",
["typ"] = "cislo" },
["tex"] = "-28\\frac{641}{973}",
["x"] = -28,
["y"] = 641,
["z"] = 973 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "14 + (-9)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(14 + (-9))^3",
["typ"] = "mocnina" },
["render"] = "18 + (14 + (-9))^3",
["typ"] = "plus" },
["render"] = "(18 + (14 + (-9))^3)",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{7} \\cdot (18 + (14 + (-9))^3)",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 13 },
["render"] = "3\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "-14 + 3\\frac{4}{13}",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{1}{7} \\cdot (18 + (14 + (-9))^3)}{-14 + 3\\frac{4}{13}}",
["typ"] = "lomeno" } }
seed: pTczTeVbaH1neAODbSzF_0.73, bodu=148, $$\frac{13 \cdot (-9 \cdot 1\frac{3}{12} - 1\frac{5}{10})}{3\frac{5}{10}}=\textcolor{white}{-47\frac{5}{14}}$$return {
["body"] = 148,
["id"] = "s2JQOY_1103_0722",
["obtiznost"] = 1.33,
["reseni"] = {
["float"] = -47.357142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -663,
["jmenovatel"] = 14 },
["render"] = "\\frac{-1326}{28}",
["typ"] = "cislo" },
["tex"] = "-47\\frac{5}{14}",
["x"] = -47,
["y"] = 5,
["z"] = 14 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 1\\frac{3}{12}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 1\\frac{3}{12} - 1\\frac{5}{10}",
["typ"] = "minus" },
["render"] = "(-9 \\cdot 1\\frac{3}{12} - 1\\frac{5}{10})",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (-9 \\cdot 1\\frac{3}{12} - 1\\frac{5}{10})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{13 \\cdot (-9 \\cdot 1\\frac{3}{12} - 1\\frac{5}{10})}{3\\frac{5}{10}}",
["typ"] = "lomeno" } }
seed: pTczTeVbaH1neAODbSzF_0.74, bodu=181, $$\frac{7 \cdot 3\frac{2}{5} - (-14 + 1\frac{5}{14} + 15)}{2\frac{2}{5} + 4\frac{3}{8}}=\textcolor{white}{3\frac{313}{1897}}$$return {
["body"] = 181,
["id"] = "SKmgY6_1103_0722",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = 3.1649973642594,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6004,
["jmenovatel"] = 1897 },
["render"] = "\\frac{60040}{18970}",
["typ"] = "cislo" },
["tex"] = "3\\frac{313}{1897}",
["x"] = 3,
["y"] = 313,
["z"] = 1897 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "7 \\cdot 3\\frac{2}{5}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 14 },
["render"] = "1\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{14} + 15",
["typ"] = "plus" },
["render"] = "-14 + 1\\frac{5}{14} + 15",
["typ"] = "plus" },
["render"] = "(-14 + 1\\frac{5}{14} + 15)",
["typ"] = "zavorka" },
["render"] = "7 \\cdot 3\\frac{2}{5} - (-14 + 1\\frac{5}{14} + 15)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{5} + 4\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "\\frac{7 \\cdot 3\\frac{2}{5} - (-14 + 1\\frac{5}{14} + 15)}{2\\frac{2}{5} + 4\\frac{3}{8}}",
["typ"] = "lomeno" } }
seed: pTczTeVbaH1neAODbSzF_0.75, bodu=120, $$\frac{4\frac{1}{5} + 18 \cdot -12 \cdot -13}{2\frac{5}{11}}=\textcolor{white}{1145\frac{32}{45}}$$return {
["body"] = 120,
["id"] = "MiqBwX_1103_0722",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = 1145.7111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 51557,
["jmenovatel"] = 45 },
["render"] = "\\frac{154671}{135}",
["typ"] = "cislo" },
["tex"] = "1145\\frac{32}{45}",
["x"] = 1145,
["y"] = 32,
["z"] = 45 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-12 \\cdot -13",
["typ"] = "krat" },
["render"] = "18 \\cdot -12 \\cdot -13",
["typ"] = "krat" },
["render"] = "4\\frac{1}{5} + 18 \\cdot -12 \\cdot -13",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{5} + 18 \\cdot -12 \\cdot -13}{2\\frac{5}{11}}",
["typ"] = "lomeno" } }
seed: pTczTeVbaH1neAODbSzF_0.76, bodu=101, $$\frac{19}{(-20 - (-15))^3} + \frac{4\frac{4}{7}}{10} + 13=\textcolor{white}{13\frac{267}{875}}$$return {
["body"] = 101,
["id"] = "p9nvpK_1103_0722",
["obtiznost"] = 1.0104,
["reseni"] = {
["float"] = 13.305142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11642,
["jmenovatel"] = 875 },
["render"] = "\\frac{58210}{4375}",
["typ"] = "cislo" },
["tex"] = "13\\frac{267}{875}",
["x"] = 13,
["y"] = 267,
["z"] = 875 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-20 - (-15)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-20 - (-15))^3",
["typ"] = "mocnina" },
["render"] = "\\frac{19}{(-20 - (-15))^3}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{7}}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{7}}{10} + 13",
["typ"] = "plus" },
["render"] = "\\frac{19}{(-20 - (-15))^3} + \\frac{4\\frac{4}{7}}{10} + 13",
["typ"] = "plus" } }
seed: pTczTeVbaH1neAODbSzF_0.77, bodu=123, $$\frac{4\frac{1}{2}}{-11} + 13 + 4\frac{5}{11} + 20 \cdot -16=\textcolor{white}{-302\frac{21}{22}}$$return {
["body"] = 123,
["id"] = "iB6Ege_1103_0722",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = -302.95454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6665,
["jmenovatel"] = 22 },
["render"] = "\\frac{-6665}{22}",
["typ"] = "cislo" },
["tex"] = "-302\\frac{21}{22}",
["x"] = -302,
["y"] = 21,
["z"] = 22 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{2}}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{2}}{-11} + 13",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{2}}{-11} + 13 + 4\\frac{5}{11}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "20 \\cdot -16",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{1}{2}}{-11} + 13 + 4\\frac{5}{11} + 20 \\cdot -16",
["typ"] = "plus" } }
seed: pTczTeVbaH1neAODbSzF_0.78, bodu=97, $$12 \cdot 11 \cdot 13 \cdot (-11 + 4\frac{2}{4})=\textcolor{white}{-11154}$$return {
["body"] = 97,
["id"] = "n4OWsv_1103_0722",
["obtiznost"] = 0.98,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -11154,
["jmenovatel"] = 1 },
["render"] = "\\frac{-22308}{2}",
["typ"] = "cislo" },
["tex"] = "-11154",
["x"] = -11154 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.78",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "-11 + 4\\frac{2}{4}",
["typ"] = "plus" },
["render"] = "(-11 + 4\\frac{2}{4})",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (-11 + 4\\frac{2}{4})",
["typ"] = "krat" },
["render"] = "11 \\cdot 13 \\cdot (-11 + 4\\frac{2}{4})",
["typ"] = "krat" },
["render"] = "12 \\cdot 11 \\cdot 13 \\cdot (-11 + 4\\frac{2}{4})",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.79, bodu=126, $$\frac{3\frac{3}{11} - 14 + 2\frac{4}{9} + (-11)}{\frac{18}{-19}}=\textcolor{white}{20\frac{631}{1782}}$$return {
["body"] = 126,
["id"] = "doptn2_1103_0722",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = 20.354096520763,
["objekt"] = {
["hodnota"] = {
["citatel"] = 36271,
["jmenovatel"] = 1782 },
["render"] = "\\frac{-36271}{-1782}",
["typ"] = "cislo" },
["tex"] = "20\\frac{631}{1782}",
["x"] = 20,
["y"] = 631,
["z"] = 1782 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{11} - 14",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} + (-11)",
["typ"] = "plus" },
["render"] = "3\\frac{3}{11} - 14 + 2\\frac{4}{9} + (-11)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{18}{-19}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{3}{11} - 14 + 2\\frac{4}{9} + (-11)}{\\frac{18}{-19}}",
["typ"] = "lomeno" } }
seed: pTczTeVbaH1neAODbSzF_0.8, bodu=192, $$3\frac{2}{7} \cdot 12 \cdot 1\frac{3}{8} \cdot \frac{4\frac{1}{5}}{3\frac{2}{8}}=\textcolor{white}{70\frac{4}{65}}$$return {
["body"] = 192,
["id"] = "9jBxug_1103_0722",
["obtiznost"] = 1.6,
["reseni"] = {
["float"] = 70.061538461538,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4554,
["jmenovatel"] = 65 },
["render"] = "\\frac{63756}{910}",
["typ"] = "cislo" },
["tex"] = "70\\frac{4}{65}",
["x"] = 70,
["y"] = 4,
["z"] = 65 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{7} \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{5}}{3\\frac{2}{8}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{3}{8} \\cdot \\frac{4\\frac{1}{5}}{3\\frac{2}{8}}",
["typ"] = "krat" },
["render"] = "3\\frac{2}{7} \\cdot 12 \\cdot 1\\frac{3}{8} \\cdot \\frac{4\\frac{1}{5}}{3\\frac{2}{8}}",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.81, bodu=118, $$3\frac{4}{9} + (\frac{5}{17})^2 \cdot (-20 + (-16)) + (-12 + 9)=\textcolor{white}{-2\frac{1742}{2601}}$$return {
["body"] = 118,
["id"] = "DfADbc_1103_0722",
["obtiznost"] = 1.1356,
["reseni"] = {
["float"] = -2.6697424067666,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6944,
["jmenovatel"] = 2601 },
["render"] = "\\frac{-6944}{2601}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{1742}{2601}",
["x"] = -2,
["y"] = 1742,
["z"] = 2601 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.81",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{5}{17}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{5}{17})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-20 + (-16)",
["typ"] = "plus" },
["render"] = "(-20 + (-16))",
["typ"] = "zavorka" },
["render"] = "(\\frac{5}{17})^2 \\cdot (-20 + (-16))",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-12 + 9",
["typ"] = "plus" },
["render"] = "(\\frac{5}{17})^2 \\cdot (-20 + (-16)) + (-12 + 9)",
["typ"] = "plus" },
["render"] = "3\\frac{4}{9} + (\\frac{5}{17})^2 \\cdot (-20 + (-16)) + (-12 + 9)",
["typ"] = "plus" } }
seed: pTczTeVbaH1neAODbSzF_0.82, bodu=76, $$\frac{19}{-12} \cdot (9 + (-7 - 16) - 5)=\textcolor{white}{30\frac{1}{12}}$$return {
["body"] = 76,
["id"] = "8ihH04_1103_0722",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = 30.083333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 361,
["jmenovatel"] = 12 },
["render"] = "\\frac{361}{12}",
["typ"] = "cislo" },
["tex"] = "30\\frac{1}{12}",
["x"] = 30,
["y"] = 1,
["z"] = 12 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{19}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-7 - 16",
["typ"] = "minus" },
["render"] = "9 + (-7 - 16)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "9 + (-7 - 16) - 5",
["typ"] = "minus" },
["render"] = "(9 + (-7 - 16) - 5)",
["typ"] = "zavorka" },
["render"] = "\\frac{19}{-12} \\cdot (9 + (-7 - 16) - 5)",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.83, bodu=186, $$\frac{3\frac{3}{8} + 2\frac{2}{9} \cdot (14 + 2\frac{5}{8})}{(\frac{-15}{11})^2}=\textcolor{white}{21\frac{11063}{16200}}$$return {
["body"] = 186,
["id"] = "wEAGG2_1103_0722",
["obtiznost"] = 1.5684,
["reseni"] = {
["float"] = 21.682901234568,
["objekt"] = {
["hodnota"] = {
["citatel"] = 351263,
["jmenovatel"] = 16200 },
["render"] = "\\frac{351263}{16200}",
["typ"] = "cislo" },
["tex"] = "21\\frac{11063}{16200}",
["x"] = 21,
["y"] = 11063,
["z"] = 16200 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "14 + 2\\frac{5}{8}",
["typ"] = "plus" },
["render"] = "(14 + 2\\frac{5}{8})",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{9} \\cdot (14 + 2\\frac{5}{8})",
["typ"] = "krat" },
["render"] = "3\\frac{3}{8} + 2\\frac{2}{9} \\cdot (14 + 2\\frac{5}{8})",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-15}{11})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{3\\frac{3}{8} + 2\\frac{2}{9} \\cdot (14 + 2\\frac{5}{8})}{(\\frac{-15}{11})^2}",
["typ"] = "lomeno" } }
seed: pTczTeVbaH1neAODbSzF_0.84, bodu=176, $$21 - 2\frac{5}{9} - (2\frac{5}{10} - (4 - 4 + 13)^2) + 2\frac{2}{6}=\textcolor{white}{187\frac{5}{18}}$$return {
["body"] = 176,
["id"] = "6NKYNs_1103_0722",
["obtiznost"] = 1.508,
["reseni"] = {
["float"] = 187.27777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3371,
["jmenovatel"] = 18 },
["render"] = "\\frac{10113}{54}",
["typ"] = "cislo" },
["tex"] = "187\\frac{5}{18}",
["x"] = 187,
["y"] = 5,
["z"] = 18 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "21 - 2\\frac{5}{9}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "4 - 4",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4 - 4 + 13",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(4 - 4 + 13)^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{5}{10} - (4 - 4 + 13)^2",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{10} - (4 - 4 + 13)^2)",
["typ"] = "zavorka" },
["render"] = "21 - 2\\frac{5}{9} - (2\\frac{5}{10} - (4 - 4 + 13)^2)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "21 - 2\\frac{5}{9} - (2\\frac{5}{10} - (4 - 4 + 13)^2) + 2\\frac{2}{6}",
["typ"] = "plus" } }
seed: pTczTeVbaH1neAODbSzF_0.85, bodu=177, $$(-18 + 8) \cdot 3\frac{4}{8} \cdot (1\frac{1}{6} + (-15 \cdot (-4 + 2\frac{3}{9})^3))=\textcolor{white}{-2471\frac{7}{18}}$$return {
["body"] = 177,
["id"] = "pkIxUs_1103_0722",
["obtiznost"] = 1.5108,
["reseni"] = {
["float"] = -2471.3888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -44485,
["jmenovatel"] = 18 },
["render"] = "\\frac{-44485}{18}",
["typ"] = "cislo" },
["tex"] = "-2471\\frac{7}{18}",
["x"] = -2471,
["y"] = 7,
["z"] = 18 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-18 + 8",
["typ"] = "plus" },
["render"] = "(-18 + 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "(-18 + 8) \\cdot 3\\frac{4}{8}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "-4 + 2\\frac{3}{9}",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-4 + 2\\frac{3}{9})^3",
["typ"] = "mocnina" },
["render"] = "-15 \\cdot (-4 + 2\\frac{3}{9})^3",
["typ"] = "krat" },
["render"] = "1\\frac{1}{6} + (-15 \\cdot (-4 + 2\\frac{3}{9})^3)",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{6} + (-15 \\cdot (-4 + 2\\frac{3}{9})^3))",
["typ"] = "zavorka" },
["render"] = "(-18 + 8) \\cdot 3\\frac{4}{8} \\cdot (1\\frac{1}{6} + (-15 \\cdot (-4 + 2\\frac{3}{9})^3))",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.86, bodu=168, $$\frac{4\frac{2}{9}}{2\frac{2}{8} - (-18 - 19)} - \frac{14}{2\frac{3}{6}}=\textcolor{white}{-5\frac{3479}{7065}}$$return {
["body"] = 168,
["id"] = "cH9z9p_1103_0722",
["obtiznost"] = 1.46,
["reseni"] = {
["float"] = -5.4924274593064,
["objekt"] = {
["hodnota"] = {
["citatel"] = -38804,
["jmenovatel"] = 7065 },
["render"] = "\\frac{-38804}{7065}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{3479}{7065}",
["x"] = -5,
["y"] = 3479,
["z"] = 7065 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "-18 - 19",
["typ"] = "minus" },
["render"] = "(-18 - 19)",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{8} - (-18 - 19)",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{2}{9}}{2\\frac{2}{8} - (-18 - 19)}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{14}{2\\frac{3}{6}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{2}{9}}{2\\frac{2}{8} - (-18 - 19)} - \\frac{14}{2\\frac{3}{6}}",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.87, bodu=170, $$(4\frac{4}{12} + 1\frac{4}{14} + 14 - (-10 \cdot 17)) \cdot (-13 + 1\frac{2}{6})=\textcolor{white}{-2212\frac{2}{9}}$$return {
["body"] = 170,
["id"] = "qjINeZ_1103_0722",
["obtiznost"] = 1.47,
["reseni"] = {
["float"] = -2212.2222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -19910,
["jmenovatel"] = 9 },
["render"] = "\\frac{-139370}{63}",
["typ"] = "cislo" },
["tex"] = "-2212\\frac{2}{9}",
["x"] = -2212,
["y"] = 2,
["z"] = 9 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.87",
["zadani"] = {
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["obsah"] = {
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["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{14}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{12} + 1\\frac{4}{14}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
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["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 17",
["typ"] = "krat" },
["render"] = "14 - (-10 \\cdot 17)",
["typ"] = "minus" },
["render"] = "4\\frac{4}{12} + 1\\frac{4}{14} + 14 - (-10 \\cdot 17)",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{12} + 1\\frac{4}{14} + 14 - (-10 \\cdot 17))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
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["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "-13 + 1\\frac{2}{6}",
["typ"] = "plus" },
["render"] = "(-13 + 1\\frac{2}{6})",
["typ"] = "zavorka" },
["render"] = "(4\\frac{4}{12} + 1\\frac{4}{14} + 14 - (-10 \\cdot 17)) \\cdot (-13 + 1\\frac{2}{6})",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.88, bodu=156, $$\frac{1\frac{1}{6} + 2\frac{1}{7} + 19 + (\frac{12}{-11})^2}{-14 + 20 + (-13)}=\textcolor{white}{-3\frac{12703}{35574}}$$return {
["body"] = 156,
["id"] = "wdUZFy_1103_0722",
["obtiznost"] = 1.386,
["reseni"] = {
["float"] = -3.3570866363074,
["objekt"] = {
["hodnota"] = {
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["jmenovatel"] = 35574 },
["render"] = "\\frac{119425}{-35574}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{12703}{35574}",
["x"] = -3,
["y"] = 12703,
["z"] = 35574 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
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["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{7} + 19",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{12}{-11})^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{1}{7} + 19 + (\\frac{12}{-11})^2",
["typ"] = "plus" },
["render"] = "1\\frac{1}{6} + 2\\frac{1}{7} + 19 + (\\frac{12}{-11})^2",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
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["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "-14 + 20",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-14 + 20 + (-13)",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{1}{6} + 2\\frac{1}{7} + 19 + (\\frac{12}{-11})^2}{-14 + 20 + (-13)}",
["typ"] = "lomeno" } }
seed: pTczTeVbaH1neAODbSzF_0.89, bodu=173, $$\frac{\frac{3\frac{3}{8}}{20} - (-8)}{1\frac{5}{9} + (-17)} - 4\frac{5}{11}=\textcolor{white}{-4\frac{240593}{244640}}$$return {
["body"] = 173,
["id"] = "IWS71A_1103_0722",
["obtiznost"] = 1.49,
["reseni"] = {
["float"] = -4.9834573250491,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1219153,
["jmenovatel"] = 244640 },
["render"] = "\\frac{-1219153}{244640}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{240593}{244640}",
["x"] = -4,
["y"] = 240593,
["z"] = 244640 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{8}}{20}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{8}}{20} - (-8)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} + (-17)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{3\\frac{3}{8}}{20} - (-8)}{1\\frac{5}{9} + (-17)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{3}{8}}{20} - (-8)}{1\\frac{5}{9} + (-17)} - 4\\frac{5}{11}",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.9, bodu=146, $$-16 \cdot -8 \cdot ((-9 + 16)^2 + \frac{1\frac{3}{9}}{-13 - 3\frac{3}{6}})=\textcolor{white}{6261\frac{65}{99}}$$return {
["body"] = 146,
["id"] = "346PHf_1103_0722",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = 6261.6565656566,
["objekt"] = {
["hodnota"] = {
["citatel"] = 619904,
["jmenovatel"] = 99 },
["render"] = "\\frac{619904}{99}",
["typ"] = "cislo" },
["tex"] = "6261\\frac{65}{99}",
["x"] = 6261,
["y"] = 65,
["z"] = 99 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-16 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
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["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-9 + 16",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-9 + 16)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "-13 - 3\\frac{3}{6}",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{3}{9}}{-13 - 3\\frac{3}{6}}",
["typ"] = "lomeno" },
["render"] = "(-9 + 16)^2 + \\frac{1\\frac{3}{9}}{-13 - 3\\frac{3}{6}}",
["typ"] = "plus" },
["render"] = "((-9 + 16)^2 + \\frac{1\\frac{3}{9}}{-13 - 3\\frac{3}{6}})",
["typ"] = "zavorka" },
["render"] = "-16 \\cdot -8 \\cdot ((-9 + 16)^2 + \\frac{1\\frac{3}{9}}{-13 - 3\\frac{3}{6}})",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.91, bodu=144, $$4\frac{5}{16} - \frac{\frac{10}{-10}}{\frac{2\frac{1}{6}}{11} + (-11)}=\textcolor{white}{4\frac{2509}{11408}}$$return {
["body"] = 144,
["id"] = "0aIRmD_1103_0722",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = 4.2199333800842,
["objekt"] = {
["hodnota"] = {
["citatel"] = 48141,
["jmenovatel"] = 11408 },
["render"] = "\\frac{48141}{11408}",
["typ"] = "cislo" },
["tex"] = "4\\frac{2509}{11408}",
["x"] = 4,
["y"] = 2509,
["z"] = 11408 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.91",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 69,
["jmenovatel"] = 16 },
["render"] = "4\\frac{5}{16}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{6}}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{6}}{11} + (-11)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{10}{-10}}{\\frac{2\\frac{1}{6}}{11} + (-11)}",
["typ"] = "lomeno" },
["render"] = "4\\frac{5}{16} - \\frac{\\frac{10}{-10}}{\\frac{2\\frac{1}{6}}{11} + (-11)}",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.92, bodu=178, $$(4 - 2\frac{4}{14} \cdot \frac{4\frac{3}{8}}{3\frac{1}{6}}) \cdot (-17 - 11)=\textcolor{white}{-23\frac{11}{19}}$$return {
["body"] = 178,
["id"] = "LNt1hW_1103_0722",
["obtiznost"] = 1.52,
["reseni"] = {
["float"] = -23.578947368421,
["objekt"] = {
["hodnota"] = {
["citatel"] = -448,
["jmenovatel"] = 19 },
["render"] = "\\frac{-448}{19}",
["typ"] = "cislo" },
["tex"] = "-23\\frac{11}{19}",
["x"] = -23,
["y"] = 11,
["z"] = 19 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.92",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{14}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{8}}{3\\frac{1}{6}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{4}{14} \\cdot \\frac{4\\frac{3}{8}}{3\\frac{1}{6}}",
["typ"] = "krat" },
["render"] = "4 - 2\\frac{4}{14} \\cdot \\frac{4\\frac{3}{8}}{3\\frac{1}{6}}",
["typ"] = "minus" },
["render"] = "(4 - 2\\frac{4}{14} \\cdot \\frac{4\\frac{3}{8}}{3\\frac{1}{6}})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-17 - 11",
["typ"] = "minus" },
["render"] = "(-17 - 11)",
["typ"] = "zavorka" },
["render"] = "(4 - 2\\frac{4}{14} \\cdot \\frac{4\\frac{3}{8}}{3\\frac{1}{6}}) \\cdot (-17 - 11)",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.93, bodu=180, $$\frac{\frac{\frac{2\frac{4}{9}}{-20}}{-12}}{\frac{3\frac{5}{11} + 1\frac{3}{12}}{17}}=\textcolor{white}{\frac{2057}{55890}}$$return {
["body"] = 180,
["id"] = "vjGpdc_1103_0722",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = 0.036804437287529,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2057,
["jmenovatel"] = 55890 },
["render"] = "\\frac{8228}{223560}",
["typ"] = "cislo" },
["tex"] = "\\frac{2057}{55890}",
["y"] = 2057,
["z"] = 55890 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{9}}{-20}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{4}{9}}{-20}}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} + 1\\frac{3}{12}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{11} + 1\\frac{3}{12}}{17}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{\\frac{2\\frac{4}{9}}{-20}}{-12}}{\\frac{3\\frac{5}{11} + 1\\frac{3}{12}}{17}}",
["typ"] = "lomeno" } }
seed: pTczTeVbaH1neAODbSzF_0.94, bodu=119, $$\frac{1\frac{3}{8}}{15} + (\frac{18}{8} + 13) \cdot 5=\textcolor{white}{76\frac{41}{120}}$$return {
["body"] = 119,
["id"] = "8OjHul_1103_0722",
["obtiznost"] = 1.14,
["reseni"] = {
["float"] = 76.341666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9161,
["jmenovatel"] = 120 },
["render"] = "\\frac{36644}{480}",
["typ"] = "cislo" },
["tex"] = "76\\frac{41}{120}",
["x"] = 76,
["y"] = 41,
["z"] = 120 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.94",
["zadani"] = {
["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"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{18}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{18}{8} + 13",
["typ"] = "plus" },
["render"] = "(\\frac{18}{8} + 13)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(\\frac{18}{8} + 13) \\cdot 5",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{3}{8}}{15} + (\\frac{18}{8} + 13) \\cdot 5",
["typ"] = "plus" } }
seed: pTczTeVbaH1neAODbSzF_0.95, bodu=154, $$-14 - \frac{-10}{3\frac{2}{6} - (-13)} \cdot ((-15 + 8)^2 + 3\frac{1}{11})=\textcolor{white}{17\frac{481}{539}}$$return {
["body"] = 154,
["id"] = "PUjbVj_1103_0722",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = 17.892393320965,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9644,
["jmenovatel"] = 539 },
["render"] = "\\frac{9644}{539}",
["typ"] = "cislo" },
["tex"] = "17\\frac{481}{539}",
["x"] = 17,
["y"] = 481,
["z"] = 539 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.95",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} - (-13)",
["typ"] = "minus" },
["render"] = "\\frac{-10}{3\\frac{2}{6} - (-13)}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-15 + 8",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-15 + 8)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 34,
["jmenovatel"] = 11 },
["render"] = "3\\frac{1}{11}",
["typ"] = "cislo" },
["render"] = "(-15 + 8)^2 + 3\\frac{1}{11}",
["typ"] = "plus" },
["render"] = "((-15 + 8)^2 + 3\\frac{1}{11})",
["typ"] = "zavorka" },
["render"] = "\\frac{-10}{3\\frac{2}{6} - (-13)} \\cdot ((-15 + 8)^2 + 3\\frac{1}{11})",
["typ"] = "krat" },
["render"] = "-14 - \\frac{-10}{3\\frac{2}{6} - (-13)} \\cdot ((-15 + 8)^2 + 3\\frac{1}{11})",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.96, bodu=238, $$4\frac{1}{12} - (4\frac{4}{9} + (\frac{4\frac{2}{5}}{-10})^2) - \frac{15}{-16}=\textcolor{white}{\frac{34451}{90000}}$$return {
["body"] = 238,
["id"] = "BXV9qc_1103_0722",
["obtiznost"] = 1.8584,
["reseni"] = {
["float"] = 0.38278888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 34451,
["jmenovatel"] = 90000 },
["render"] = "\\frac{137804}{360000}",
["typ"] = "cislo" },
["tex"] = "\\frac{34451}{90000}",
["y"] = 34451,
["z"] = 90000 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 12 },
["render"] = "4\\frac{1}{12}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{5}}{-10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{4\\frac{2}{5}}{-10})^2",
["typ"] = "mocnina" },
["render"] = "4\\frac{4}{9} + (\\frac{4\\frac{2}{5}}{-10})^2",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{9} + (\\frac{4\\frac{2}{5}}{-10})^2)",
["typ"] = "zavorka" },
["render"] = "4\\frac{1}{12} - (4\\frac{4}{9} + (\\frac{4\\frac{2}{5}}{-10})^2)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{15}{-16}",
["typ"] = "lomeno" },
["render"] = "4\\frac{1}{12} - (4\\frac{4}{9} + (\\frac{4\\frac{2}{5}}{-10})^2) - \\frac{15}{-16}",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.97, bodu=123, $$9 \cdot (-7 - (-24)) \cdot (18 - \frac{2\frac{1}{5}}{-14})=\textcolor{white}{2778\frac{3}{70}}$$return {
["body"] = 123,
["id"] = "BrlI5U_1103_0722",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = 2778.0428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 194463,
["jmenovatel"] = 70 },
["render"] = "\\frac{194463}{70}",
["typ"] = "cislo" },
["tex"] = "2778\\frac{3}{70}",
["x"] = 2778,
["y"] = 3,
["z"] = 70 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.97",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -24,
["jmenovatel"] = 1 },
["render"] = "-24",
["typ"] = "cislo" },
["render"] = "-7 - (-24)",
["typ"] = "minus" },
["render"] = "(-7 - (-24))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{5}}{-14}",
["typ"] = "lomeno" },
["render"] = "18 - \\frac{2\\frac{1}{5}}{-14}",
["typ"] = "minus" },
["render"] = "(18 - \\frac{2\\frac{1}{5}}{-14})",
["typ"] = "zavorka" },
["render"] = "(-7 - (-24)) \\cdot (18 - \\frac{2\\frac{1}{5}}{-14})",
["typ"] = "krat" },
["render"] = "9 \\cdot (-7 - (-24)) \\cdot (18 - \\frac{2\\frac{1}{5}}{-14})",
["typ"] = "krat" } }
seed: pTczTeVbaH1neAODbSzF_0.98, bodu=188, $$2\frac{2}{3} + \frac{\frac{-17 - (-15)}{-17}}{12 + 2\frac{1}{4}} - 3\frac{3}{11}=\textcolor{white}{-\frac{2124}{3553}}$$return {
["body"] = 188,
["id"] = "BmCejn_1103_0722",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = -0.59780467210808,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2124,
["jmenovatel"] = 3553 },
["render"] = "\\frac{-2124}{3553}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2124}{3553}",
["y"] = -2124,
["z"] = 3553 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-17 - (-15)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{-17 - (-15)}{-17}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "12 + 2\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{-17 - (-15)}{-17}}{12 + 2\\frac{1}{4}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{2}{3} + \\frac{\\frac{-17 - (-15)}{-17}}{12 + 2\\frac{1}{4}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{3} + \\frac{\\frac{-17 - (-15)}{-17}}{12 + 2\\frac{1}{4}} - 3\\frac{3}{11}",
["typ"] = "minus" } }
seed: pTczTeVbaH1neAODbSzF_0.99, bodu=157, $$(8 - (-12) + 1\frac{5}{10} \cdot \frac{1\frac{5}{9}}{9}) \cdot 14=\textcolor{white}{283\frac{17}{27}}$$return {
["body"] = 157,
["id"] = "IXjh7Y_1103_0722",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = 283.62962962963,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7658,
["jmenovatel"] = 27 },
["render"] = "\\frac{7658}{27}",
["typ"] = "cislo" },
["tex"] = "283\\frac{17}{27}",
["x"] = 283,
["y"] = 17,
["z"] = 27 },
["seed"] = "pTczTeVbaH1neAODbSzF_0.99",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "8 - (-12)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{9}}{9}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{10} \\cdot \\frac{1\\frac{5}{9}}{9}",
["typ"] = "krat" },
["render"] = "8 - (-12) + 1\\frac{5}{10} \\cdot \\frac{1\\frac{5}{9}}{9}",
["typ"] = "plus" },
["render"] = "(8 - (-12) + 1\\frac{5}{10} \\cdot \\frac{1\\frac{5}{9}}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "(8 - (-12) + 1\\frac{5}{10} \\cdot \\frac{1\\frac{5}{9}}{9}) \\cdot 14",
["typ"] = "krat" } }
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