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Finding x:y Ratio Given Linear Equation

Finding x:y Ratio Given Linear Equation
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2019-08-17 17:08
FunctionCoordinate Geometry
This example demonstrates how to find the ratio x:y given the linear equation ax + by = cx + dy. Key mathematical concepts include the manipulation and simplification of linear equations. GeoGebra commands used include Expand, Element, GCD, LaTeX, Numerator, Denominator, Text, If, Random, Textfield, etc. Suitable for self-assessment practice for middle school and above students.

GeoGebra Commands & Parameters

  1. Expand(B42 + G42(x)) → H42
  2. Element(Factors[H42], 1, 1) → I42
  3. GCD(H42(0), J42(0)) → X42
  4. Expand((H42(0) * x) + (J42(0) * y)) → V42
  5. Expand(J42(x) + A42) → L42
  6. GCD(G42(0), L42(0)) → Y42
  7. Expand(a(x, y)) → aexp
  8. Expand(b) → bexp
  9. Expand(aexp(x, y) - bexp(x, y)) → c
  10. LaTeX(x / y = FractionText[f], true) → line4
  11. Numerator(f) → g
  12. Denominator(f) → h
  13. Expand((B2 * x) - (A2 * y)) → C2
  14. Expand((B3 * x) - (A3 * y)) → C3
  15. Expand((B4 * x) - (A4 * y)) → C4
  16. Expand((B5 * x) - (A5 * y)) → C5
  17. Expand((B6 * x) - (A6 * y)) → C6
  18. Expand((B7 * x) - (A7 * y)) → C7
  19. Expand((B8 * x) - (A8 * y)) → C8
  20. Expand((B9 * x) - (A9 * y)) → C9
  21. Expand((B10 * x) - (A10 * y)) → C10
  22. Expand((B11 * x) - (A11 * y)) → C11
  23. Expand((B12 * x) - (A12 * y)) → C12
  24. Expand((B13 * x) - (A13 * y)) → C13
  25. Expand((B14 * x) - (A14 * y)) → C14
  26. Expand((B15 * x) - (A15 * y)) → C15
  27. Expand((B16 * x) - (A16 * y)) → C16
  28. Expand((B17 * x) - (A17 * y)) → C17
  29. Expand((B18 * x) - (A18 * y)) → C18
  30. Expand((B19 * x) - (A19 * y)) → C19
  31. Expand((B20 * x) - (A20 * y)) → C20
  32. Expand((B21 * x) - (A21 * y)) → C21
  33. Expand((B22 * x) - (A22 * y)) → C22
  34. Expand((B23 * x) - (A23 * y)) → C23
  35. Expand((B24 * x) - (A24 * y)) → C24
  36. Expand((B25 * x) - (A25 * y)) → C25
  37. Expand((B26 * x) - (A26 * y)) → C26
  38. Expand((B27 * x) - (A27 * y)) → C27
  39. Expand((B28 * x) - (A28 * y)) → C28
  40. Expand((B29 * x) - (A29 * y)) → C29
  41. Expand((B30 * x) - (A30 * y)) → C30
  42. Expand((B31 * x) - (A31 * y)) → C31
  43. Expand((B32 * x) - (A32 * y)) → C32
  44. Expand((B33 * x) - (A33 * y)) → C33
  45. Expand((B34 * x) - (A34 * y)) → C34
  46. Expand((B35 * x) - (A35 * y)) → C35
  47. Expand((B36 * x) - (A36 * y)) → C36
  48. Expand((B37 * x) - (A37 * y)) → C37
  49. Expand((B38 * x) - (A38 * y)) → C38
  50. Expand((B39 * x) - (A39 * y)) → C39
  51. Expand((B40 * x) - (A40 * y)) → C40
  52. Expand((B41 * x) - (A41 * y)) → C41
  53. Expand((B42 * x) - (A42 * y)) → C42
  54. Expand((B43 * x) - (A43 * y)) → C43
  55. Expand((B44 * x) - (A44 * y)) → C44
  56. Expand((B45 * x) - (A45 * y)) → C45
  57. Expand((B46 * x) - (A46 * y)) → C46
  58. Expand((B47 * x) - (A47 * y)) → C47
  59. Expand((B48 * x) - (A48 * y)) → C48
  60. Expand((B49 * x) - (A49 * y)) → C49
  61. Expand((B50 * x) - (A50 * y)) → C50
  62. Expand((B51 * x) - (A51 * y)) → C51
  63. Expand((B1 * x) - (A1 * y)) → C1
  64. Expand((B52 * x) - (A52 * y)) → C52
  65. Text(If[B1 ≟ 1, "x=", B1 + "x ="] + (If[A1 ≟ 1, "y", A1 + "y"])) → E1
  66. Text(If[B2 ≟ 1, "x=", B2 + "x ="] + (If[A2 ≟ 1, "y", A2 + "y"])) → E2
  67. Text(If[B3 ≟ 1, "x=", B3 + "x ="] + (If[A3 ≟ 1, "y", A3 + "y"])) → E3
  68. Text(If[B4 ≟ 1, "x=", B4 + "x ="] + (If[A4 ≟ 1, "y", A4 + "y"])) → E4
  69. Text(If[B5 ≟ 1, "x=", B5 + "x ="] + (If[A5 ≟ 1, "y", A5 + "y"])) → E5
  70. Text(If[B6 ≟ 1, "x=", B6 + "x ="] + (If[A6 ≟ 1, "y", A6 + "y"])) → E6
  71. Text(If[B7 ≟ 1, "x=", B7 + "x ="] + (If[A7 ≟ 1, "y", A7 + "y"])) → E7
  72. Text(If[B8 ≟ 1, "x=", B8 + "x ="] + (If[A8 ≟ 1, "y", A8 + "y"])) → E8
  73. Text(If[B9 ≟ 1, "x=", B9 + "x ="] + (If[A9 ≟ 1, "y", A9 + "y"])) → E9
  74. Text(If[B10 ≟ 1, "x=", B10 + "x ="] + (If[A10 ≟ 1, "y", A10 + "y"])) → E10
  75. Text(If[B11 ≟ 1, "x=", B11 + "x ="] + (If[A11 ≟ 1, "y", A11 + "y"])) → E11
  76. Text(If[B12 ≟ 1, "x=", B12 + "x ="] + (If[A12 ≟ 1, "y", A12 + "y"])) → E12
  77. Text(If[B13 ≟ 1, "x=", B13 + "x ="] + (If[A13 ≟ 1, "y", A13 + "y"])) → E13
  78. Text(If[B14 ≟ 1, "x=", B14 + "x ="] + (If[A14 ≟ 1, "y", A14 + "y"])) → E14
  79. Text(If[B15 ≟ 1, "x=", B15 + "x ="] + (If[A15 ≟ 1, "y", A15 + "y"])) → E15
  80. Text(If[B16 ≟ 1, "x=", B16 + "x ="] + (If[A16 ≟ 1, "y", A16 + "y"])) → E16
  81. Text(If[B17 ≟ 1, "x=", B17 + "x ="] + (If[A17 ≟ 1, "y", A17 + "y"])) → E17
  82. Text(If[B18 ≟ 1, "x=", B18 + "x ="] + (If[A18 ≟ 1, "y", A18 + "y"])) → E18
  83. Text(If[B19 ≟ 1, "x=", B19 + "x ="] + (If[A19 ≟ 1, "y", A19 + "y"])) → E19
  84. Text(If[B20 ≟ 1, "x=", B20 + "x ="] + (If[A20 ≟ 1, "y", A20 + "y"])) → E20
  85. Text(If[B21 ≟ 1, "x=", B21 + "x ="] + (If[A21 ≟ 1, "y", A21 + "y"])) → E21
  86. Text(If[B22 ≟ 1, "x=", B22 + "x ="] + (If[A22 ≟ 1, "y", A22 + "y"])) → E22
  87. Text(If[B23 ≟ 1, "x=", B23 + "x ="] + (If[A23 ≟ 1, "y", A23 + "y"])) → E23
  88. Text(If[B24 ≟ 1, "x=", B24 + "x ="] + (If[A24 ≟ 1, "y", A24 + "y"])) → E24
  89. Text(If[B25 ≟ 1, "x=", B25 + "x ="] + (If[A25 ≟ 1, "y", A25 + "y"])) → E25
  90. Text(If[B26 ≟ 1, "x=", B26 + "x ="] + (If[A26 ≟ 1, "y", A26 + "y"])) → E26
  91. Text(If[B27 ≟ 1, "x=", B27 + "x ="] + (If[A27 ≟ 1, "y", A27 + "y"])) → E27
  92. Text(If[B28 ≟ 1, "x=", B28 + "x ="] + (If[A28 ≟ 1, "y", A28 + "y"])) → E28
  93. Text(If[B29 ≟ 1, "x=", B29 + "x ="] + (If[A29 ≟ 1, "y", A29 + "y"])) → E29
  94. Text(If[B30 ≟ 1, "x=", B30 + "x ="] + (If[A30 ≟ 1, "y", A30 + "y"])) → E30
  95. Text(If[B31 ≟ 1, "x=", B31 + "x ="] + (If[A31 ≟ 1, "y", A31 + "y"])) → E31
  96. Text(If[B32 ≟ 1, "x=", B32 + "x ="] + (If[A32 ≟ 1, "y", A32 + "y"])) → E32
  97. Text(If[B33 ≟ 1, "x=", B33 + "x ="] + (If[A33 ≟ 1, "y", A33 + "y"])) → E33
  98. Text(If[B34 ≟ 1, "x=", B34 + "x ="] + (If[A34 ≟ 1, "y", A34 + "y"])) → E34
  99. Text(If[B35 ≟ 1, "x=", B35 + "x ="] + (If[A35 ≟ 1, "y", A35 + "y"])) → E35
  100. Text(If[B36 ≟ 1, "x=", B36 + "x ="] + (If[A36 ≟ 1, "y", A36 + "y"])) → E36
  101. Text(If[B37 ≟ 1, "x=", B37 + "x ="] + (If[A37 ≟ 1, "y", A37 + "y"])) → E37
  102. Text(If[B38 ≟ 1, "x=", B38 + "x ="] + (If[A38 ≟ 1, "y", A38 + "y"])) → E38
  103. Text(If[B39 ≟ 1, "x=", B39 + "x ="] + (If[A39 ≟ 1, "y", A39 + "y"])) → E39
  104. Text(If[B40 ≟ 1, "x=", B40 + "x ="] + (If[A40 ≟ 1, "y", A40 + "y"])) → E40
  105. Text(If[B41 ≟ 1, "x=", B41 + "x ="] + (If[A41 ≟ 1, "y", A41 + "y"])) → E41
  106. Text(If[B42 ≟ 1, "x=", B42 + "x ="] + (If[A42 ≟ 1, "y", A42 + "y"])) → E42
  107. Text(If[B43 ≟ 1, "x=", B43 + "x ="] + (If[A43 ≟ 1, "y", A43 + "y"])) → E43
  108. Text(If[B44 ≟ 1, "x=", B44 + "x ="] + (If[A44 ≟ 1, "y", A44 + "y"])) → E44
  109. Text(If[B45 ≟ 1, "x=", B45 + "x ="] + (If[A45 ≟ 1, "y", A45 + "y"])) → E45
  110. Text(If[B46 ≟ 1, "x=", B46 + "x ="] + (If[A46 ≟ 1, "y", A46 + "y"])) → E46
  111. Text(If[B47 ≟ 1, "x=", B47 + "x ="] + (If[A47 ≟ 1, "y", A47 + "y"])) → E47
  112. Text(If[B48 ≟ 1, "x=", B48 + "x ="] + (If[A48 ≟ 1, "y", A48 + "y"])) → E48
  113. Text(If[B49 ≟ 1, "x=", B49 + "x ="] + (If[A49 ≟ 1, "y", A49 + "y"])) → E49
  114. Text(If[B50 ≟ 1, "x=", B50 + "x ="] + (If[A50 ≟ 1, "y", A50 + "y"])) → E50
  115. Text(If[B51 ≟ 1, "x=", B51 + "x ="] + (If[A51 ≟ 1, "y", A51 + "y"])) → E51
  116. Text(If[B52 ≟ 1, "x=", B52 + "x ="] + (If[A52 ≟ 1, "y", A52 + "y"])) → E52
  117. Expand(B1 + G1(x)) → H1
  118. Expand(B2 + G2(x)) → H2
  119. Expand(B3 + G3(x)) → H3
  120. Expand(B4 + G4(x)) → H4
  121. Expand(B5 + G5(x)) → H5
  122. Expand(B6 + G6(x)) → H6
  123. Expand(B7 + G7(x)) → H7
  124. Expand(B8 + G8(x)) → H8
  125. Expand(B9 + G9(x)) → H9
  126. Expand(B10 + G10(x)) → H10
  127. Expand(B11 + G11(x)) → H11
  128. Expand(B12 + G12(x)) → H12
  129. Expand(B13 + G13(x)) → H13
  130. Expand(B14 + G14(x)) → H14
  131. Expand(B15 + G15(x)) → H15
  132. Expand(B16 + G16(x)) → H16
  133. Expand(B17 + G17(x)) → H17
  134. Expand(B18 + G18(x)) → H18
  135. Expand(B19 + G19(x)) → H19
  136. Expand(B20 + G20(x)) → H20
  137. Expand(B21 + G21(x)) → H21
  138. Expand(B22 + G22(x)) → H22
  139. Expand(B23 + G23(x)) → H23
  140. Expand(B24 + G24(x)) → H24
  141. Expand(B25 + G25(x)) → H25
  142. Expand(B26 + G26(x)) → H26
  143. Expand(B27 + G27(x)) → H27
  144. Expand(B28 + G28(x)) → H28
  145. Expand(B29 + G29(x)) → H29
  146. Expand(B30 + G30(x)) → H30
  147. Expand(B31 + G31(x)) → H31
  148. Expand(B32 + G32(x)) → H32
  149. Expand(B33 + G33(x)) → H33
  150. Expand(B34 + G34(x)) → H34
  151. Expand(B35 + G35(x)) → H35
  152. Expand(B36 + G36(x)) → H36
  153. Expand(B37 + G37(x)) → H37
  154. Expand(B38 + G38(x)) → H38
  155. Expand(B39 + G39(x)) → H39
  156. Expand(B40 + G40(x)) → H40
  157. Expand(B41 + G41(x)) → H41
  158. Expand(B43 + G43(x)) → H43
  159. Expand(B44 + G44(x)) → H44
  160. Expand(B45 + G45(x)) → H45
  161. Expand(B46 + G46(x)) → H46
  162. Expand(B47 + G47(x)) → H47
  163. Expand(B48 + G48(x)) → H48
  164. Expand(B49 + G49(x)) → H49
  165. Expand(B50 + G50(x)) → H50
  166. Expand(B51 + G51(x)) → H51
  167. Expand(B52 + G52(x)) → H52
  168. Element(Factors[H1], 1, 1) → I1
  169. Element(Factors[H2], 1, 1) → I2
  170. Element(Factors[H3], 1, 1) → I3
  171. Element(Factors[H4], 1, 1) → I4
  172. Element(Factors[H5], 1, 1) → I5
  173. Element(Factors[H6], 1, 1) → I6
  174. Element(Factors[H7], 1, 1) → I7
  175. Element(Factors[H8], 1, 1) → I8
  176. Element(Factors[H9], 1, 1) → I9
  177. Element(Factors[H10], 1, 1) → I10
  178. Element(Factors[H11], 1, 1) → I11
  179. Element(Factors[H12], 1, 1) → I12
  180. Element(Factors[H13], 1, 1) → I13
  181. Element(Factors[H14], 1, 1) → I14
  182. Element(Factors[H15], 1, 1) → I15
  183. Element(Factors[H16], 1, 1) → I16
  184. Element(Factors[H17], 1, 1) → I17
  185. Element(Factors[H18], 1, 1) → I18
  186. Element(Factors[H19], 1, 1) → I19
  187. Element(Factors[H20], 1, 1) → I20
  188. Element(Factors[H21], 1, 1) → I21
  189. Element(Factors[H22], 1, 1) → I22
  190. Element(Factors[H23], 1, 1) → I23
  191. Element(Factors[H24], 1, 1) → I24
  192. Element(Factors[H25], 1, 1) → I25
  193. Element(Factors[H26], 1, 1) → I26
  194. Element(Factors[H27], 1, 1) → I27
  195. Element(Factors[H28], 1, 1) → I28
  196. Element(Factors[H29], 1, 1) → I29
  197. Element(Factors[H30], 1, 1) → I30
  198. Element(Factors[H31], 1, 1) → I31
  199. Element(Factors[H32], 1, 1) → I32
  200. Element(Factors[H33], 1, 1) → I33
  201. Element(Factors[H34], 1, 1) → I34
  202. Element(Factors[H35], 1, 1) → I35
  203. Element(Factors[H36], 1, 1) → I36
  204. Element(Factors[H37], 1, 1) → I37
  205. Element(Factors[H38], 1, 1) → I38
  206. Element(Factors[H39], 1, 1) → I39
  207. Element(Factors[H40], 1, 1) → I40
  208. Element(Factors[H41], 1, 1) → I41
  209. Element(Factors[H43], 1, 1) → I43
  210. Element(Factors[H44], 1, 1) → I44
  211. Element(Factors[H45], 1, 1) → I45
  212. Element(Factors[H46], 1, 1) → I46
  213. Element(Factors[H47], 1, 1) → I47
  214. Element(Factors[H48], 1, 1) → I48
  215. Element(Factors[H49], 1, 1) → I49
  216. Element(Factors[H50], 1, 1) → I50
  217. Element(Factors[H51], 1, 1) → I51
  218. Element(Factors[H52], 1, 1) → I52
  219. Expand(I1(x) + A1) → K1
  220. Expand(I2(x) + A2) → K2
  221. Expand(I3(x) + A3) → K3
  222. Expand(I4(x) + A4) → K4
  223. Expand(I5(x) + A5) → K5
  224. Expand(I6(x) + A6) → K6
  225. Expand(I7(x) + A7) → K7
  226. Expand(I8(x) + A8) → K8
  227. Expand(I9(x) + A9) → K9
  228. Expand(I10(x) + A10) → K10
  229. Expand(I11(x) + A11) → K11
  230. Expand(I12(x) + A12) → K12
  231. Expand(I13(x) + A13) → K13
  232. Expand(I14(x) + A14) → K14
  233. Expand(I15(x) + A15) → K15
  234. Expand(I16(x) + A16) → K16
  235. Expand(I17(x) + A17) → K17
  236. Expand(I18(x) + A18) → K18
  237. Expand(I19(x) + A19) → K19
  238. Expand(I20(x) + A20) → K20
  239. Expand(I21(x) + A21) → K21
  240. Expand(I22(x) + A22) → K22
  241. Expand(I23(x) + A23) → K23
  242. Expand(I24(x) + A24) → K24
  243. Expand(I25(x) + A25) → K25
  244. Expand(I26(x) + A26) → K26
  245. Expand(I27(x) + A27) → K27
  246. Expand(I28(x) + A28) → K28
  247. Expand(I29(x) + A29) → K29
  248. Expand(I30(x) + A30) → K30
  249. Expand(I31(x) + A31) → K31
  250. Expand(I32(x) + A32) → K32
  251. Expand(I33(x) + A33) → K33
  252. Expand(I34(x) + A34) → K34
  253. Expand(I35(x) + A35) → K35
  254. Expand(I36(x) + A36) → K36
  255. Expand(I37(x) + A37) → K37
  256. Expand(I38(x) + A38) → K38
  257. Expand(I39(x) + A39) → K39
  258. Expand(I40(x) + A40) → K40
  259. Expand(I41(x) + A41) → K41
  260. Expand(I42(x) + A42) → K42
  261. Expand(I43(x) + A43) → K43
  262. Expand(I44(x) + A44) → K44
  263. Expand(I45(x) + A45) → K45
  264. Expand(I46(x) + A46) → K46
  265. Expand(I47(x) + A47) → K47
  266. Expand(I48(x) + A48) → K48
  267. Expand(I49(x) + A49) → K49
  268. Expand(I50(x) + A50) → K50
  269. Expand(I51(x) + A51) → K51
  270. Expand(I52(x) + A52) → K52
  271. GCD(H1(0), I1(0)) → i
  272. GCD(H1(0), I1(0)) → O1
  273. GCD(H2(0), I2(0)) → O2
  274. GCD(H3(0), I3(0)) → O3
  275. GCD(H4(0), I4(0)) → O4
  276. GCD(H5(0), I5(0)) → O5
  277. GCD(H6(0), I6(0)) → O6
  278. GCD(H7(0), I7(0)) → O7
  279. GCD(H8(0), I8(0)) → O8
  280. GCD(H9(0), I9(0)) → O9
  281. GCD(H10(0), I10(0)) → O10
  282. GCD(H11(0), I11(0)) → O11
  283. GCD(H12(0), I12(0)) → O12
  284. GCD(H13(0), I13(0)) → O13
  285. GCD(H14(0), I14(0)) → O14
  286. GCD(H15(0), I15(0)) → O15
  287. GCD(H16(0), I16(0)) → O16
  288. GCD(H17(0), I17(0)) → O17
  289. GCD(H18(0), I18(0)) → O18
  290. GCD(H19(0), I19(0)) → O19
  291. GCD(H20(0), I20(0)) → O20
  292. GCD(H21(0), I21(0)) → O21
  293. GCD(H22(0), I22(0)) → O22
  294. GCD(H23(0), I23(0)) → O23
  295. GCD(H24(0), I24(0)) → O24
  296. GCD(H25(0), I25(0)) → O25
  297. GCD(H26(0), I26(0)) → O26
  298. GCD(H27(0), I27(0)) → O27
  299. GCD(H28(0), I28(0)) → O28
  300. GCD(H29(0), I29(0)) → O29
  301. GCD(H30(0), I30(0)) → O30
  302. GCD(H31(0), I31(0)) → O31
  303. GCD(H32(0), I32(0)) → O32
  304. GCD(H33(0), I33(0)) → O33
  305. GCD(H34(0), I34(0)) → O34
  306. GCD(H35(0), I35(0)) → O35
  307. GCD(H36(0), I36(0)) → O36
  308. GCD(H37(0), I37(0)) → O37
  309. GCD(H38(0), I38(0)) → O38
  310. GCD(H39(0), I39(0)) → O39
  311. GCD(H40(0), I40(0)) → O40
  312. GCD(H41(0), I41(0)) → O41
  313. GCD(H42(0), I42(0)) → O42
  314. GCD(H43(0), I43(0)) → O43
  315. GCD(H44(0), I44(0)) → O44
  316. GCD(H45(0), I45(0)) → O45
  317. GCD(H46(0), I46(0)) → O46
  318. GCD(H47(0), I47(0)) → O47
  319. GCD(H48(0), I48(0)) → O48
  320. GCD(H49(0), I49(0)) → O49
  321. GCD(H50(0), I50(0)) → O50
  322. GCD(H51(0), I51(0)) → O51
  323. GCD(H52(0), I52(0)) → O52
  324. GCD(G1(0), K1(0)) → P1
  325. GCD(G2(0), K2(0)) → P2
  326. GCD(G3(0), K3(0)) → P3
  327. GCD(G4(0), K4(0)) → P4
  328. GCD(G5(0), K5(0)) → P5
  329. GCD(G6(0), K6(0)) → P6
  330. GCD(G7(0), K7(0)) → P7
  331. GCD(G8(0), K8(0)) → P8
  332. GCD(G9(0), K9(0)) → P9
  333. GCD(G10(0), K10(0)) → P10
  334. GCD(G11(0), K11(0)) → P11
  335. GCD(G12(0), K12(0)) → P12
  336. GCD(G13(0), K13(0)) → P13
  337. GCD(G14(0), K14(0)) → P14
  338. GCD(G15(0), K15(0)) → P15
  339. GCD(G16(0), K16(0)) → P16
  340. GCD(G17(0), K17(0)) → P17
  341. GCD(G18(0), K18(0)) → P18
  342. GCD(G19(0), K19(0)) → P19
  343. GCD(G20(0), K20(0)) → P20
  344. GCD(G21(0), K21(0)) → P21
  345. GCD(G22(0), K22(0)) → P22
  346. GCD(G23(0), K23(0)) → P23
  347. GCD(G24(0), K24(0)) → P24
  348. GCD(G25(0), K25(0)) → P25
  349. GCD(G26(0), K26(0)) → P26
  350. GCD(G27(0), K27(0)) → P27
  351. GCD(G28(0), K28(0)) → P28
  352. GCD(G29(0), K29(0)) → P29
  353. GCD(G30(0), K30(0)) → P30
  354. GCD(G31(0), K31(0)) → P31
  355. GCD(G32(0), K32(0)) → P32
  356. GCD(G33(0), K33(0)) → P33
  357. GCD(G34(0), K34(0)) → P34
  358. GCD(G35(0), K35(0)) → P35
  359. GCD(G36(0), K36(0)) → P36
  360. GCD(G37(0), K37(0)) → P37
  361. GCD(G38(0), K38(0)) → P38
  362. GCD(G39(0), K39(0)) → P39
  363. GCD(G40(0), K40(0)) → P40
  364. GCD(G41(0), K41(0)) → P41
  365. GCD(G42(0), K42(0)) → P42
  366. GCD(G43(0), K43(0)) → P43
  367. GCD(G44(0), K44(0)) → P44
  368. GCD(G45(0), K45(0)) → P45
  369. GCD(G46(0), K46(0)) → P46
  370. GCD(G47(0), K47(0)) → P47
  371. GCD(G48(0), K48(0)) → P48
  372. GCD(G49(0), K49(0)) → P49
  373. GCD(G50(0), K50(0)) → P50
  374. GCD(G51(0), K51(0)) → P51
  375. GCD(G52(0), K52(0)) → P52
  376. If(O2 ≟ 1, Expand[((G2(0) * x) + (K2(0) * y)) / P2], Expand[((G2(0) * x) + (K2(0) * y)) / P2] / O2) → T2
  377. If(O3 ≟ 1, Expand[((G3(0) * x) + (K3(0) * y)) / P3], Expand[((G3(0) * x) + (K3(0) * y)) / P3] / O3) → T3
  378. If(O4 ≟ 1, Expand[((G4(0) * x) + (K4(0) * y)) / P4], Expand[((G4(0) * x) + (K4(0) * y)) / P4] / O4) → T4
  379. If(O5 ≟ 1, Expand[((G5(0) * x) + (K5(0) * y)) / P5], Expand[((G5(0) * x) + (K5(0) * y)) / P5] / O5) → T5
  380. If(O6 ≟ 1, Expand[((G6(0) * x) + (K6(0) * y)) / P6], Expand[((G6(0) * x) + (K6(0) * y)) / P6] / O6) → T6
  381. If(O7 ≟ 1, Expand[((G7(0) * x) + (K7(0) * y)) / P7], Expand[((G7(0) * x) + (K7(0) * y)) / P7] / O7) → T7
  382. If(O8 ≟ 1, Expand[((G8(0) * x) + (K8(0) * y)) / P8], Expand[((G8(0) * x) + (K8(0) * y)) / P8] / O8) → T8
  383. If(O9 ≟ 1, Expand[((G9(0) * x) + (K9(0) * y)) / P9], Expand[((G9(0) * x) + (K9(0) * y)) / P9] / O9) → T9
  384. If(O10 ≟ 1, Expand[((G10(0) * x) + (K10(0) * y)) / P10], Expand[((G10(0) * x) + (K10(0) * y)) / P10] / O10) → T10
  385. If(O11 ≟ 1, Expand[((G11(0) * x) + (K11(0) * y)) / P11], Expand[((G11(0) * x) + (K11(0) * y)) / P11] / O11) → T11
  386. If(O12 ≟ 1, Expand[((G12(0) * x) + (K12(0) * y)) / P12], Expand[((G12(0) * x) + (K12(0) * y)) / P12] / O12) → T12
  387. If(O13 ≟ 1, Expand[((G13(0) * x) + (K13(0) * y)) / P13], Expand[((G13(0) * x) + (K13(0) * y)) / P13] / O13) → T13
  388. If(O14 ≟ 1, Expand[((G14(0) * x) + (K14(0) * y)) / P14], Expand[((G14(0) * x) + (K14(0) * y)) / P14] / O14) → T14
  389. If(O15 ≟ 1, Expand[((G15(0) * x) + (K15(0) * y)) / P15], Expand[((G15(0) * x) + (K15(0) * y)) / P15] / O15) → T15
  390. If(O16 ≟ 1, Expand[((G16(0) * x) + (K16(0) * y)) / P16], Expand[((G16(0) * x) + (K16(0) * y)) / P16] / O16) → T16
  391. If(O17 ≟ 1, Expand[((G17(0) * x) + (K17(0) * y)) / P17], Expand[((G17(0) * x) + (K17(0) * y)) / P17] / O17) → T17
  392. If(O18 ≟ 1, Expand[((G18(0) * x) + (K18(0) * y)) / P18], Expand[((G18(0) * x) + (K18(0) * y)) / P18] / O18) → T18
  393. If(O19 ≟ 1, Expand[((G19(0) * x) + (K19(0) * y)) / P19], Expand[((G19(0) * x) + (K19(0) * y)) / P19] / O19) → T19
  394. If(O20 ≟ 1, Expand[((G20(0) * x) + (K20(0) * y)) / P20], Expand[((G20(0) * x) + (K20(0) * y)) / P20] / O20) → T20
  395. If(O21 ≟ 1, Expand[((G21(0) * x) + (K21(0) * y)) / P21], Expand[((G21(0) * x) + (K21(0) * y)) / P21] / O21) → T21
  396. If(O22 ≟ 1, Expand[((G22(0) * x) + (K22(0) * y)) / P22], Expand[((G22(0) * x) + (K22(0) * y)) / P22] / O22) → T22
  397. If(O23 ≟ 1, Expand[((G23(0) * x) + (K23(0) * y)) / P23], Expand[((G23(0) * x) + (K23(0) * y)) / P23] / O23) → T23
  398. If(O24 ≟ 1, Expand[((G24(0) * x) + (K24(0) * y)) / P24], Expand[((G24(0) * x) + (K24(0) * y)) / P24] / O24) → T24
  399. If(O25 ≟ 1, Expand[((G25(0) * x) + (K25(0) * y)) / P25], Expand[((G25(0) * x) + (K25(0) * y)) / P25] / O25) → T25
  400. If(O26 ≟ 1, Expand[((G26(0) * x) + (K26(0) * y)) / P26], Expand[((G26(0) * x) + (K26(0) * y)) / P26] / O26) → T26
  401. If(O27 ≟ 1, Expand[((G27(0) * x) + (K27(0) * y)) / P27], Expand[((G27(0) * x) + (K27(0) * y)) / P27] / O27) → T27
  402. If(O28 ≟ 1, Expand[((G28(0) * x) + (K28(0) * y)) / P28], Expand[((G28(0) * x) + (K28(0) * y)) / P28] / O28) → T28
  403. If(O29 ≟ 1, Expand[((G29(0) * x) + (K29(0) * y)) / P29], Expand[((G29(0) * x) + (K29(0) * y)) / P29] / O29) → T29
  404. If(O30 ≟ 1, Expand[((G30(0) * x) + (K30(0) * y)) / P30], Expand[((G30(0) * x) + (K30(0) * y)) / P30] / O30) → T30
  405. If(O31 ≟ 1, Expand[((G31(0) * x) + (K31(0) * y)) / P31], Expand[((G31(0) * x) + (K31(0) * y)) / P31] / O31) → T31
  406. If(O32 ≟ 1, Expand[((G32(0) * x) + (K32(0) * y)) / P32], Expand[((G32(0) * x) + (K32(0) * y)) / P32] / O32) → T32
  407. If(O33 ≟ 1, Expand[((G33(0) * x) + (K33(0) * y)) / P33], Expand[((G33(0) * x) + (K33(0) * y)) / P33] / O33) → T33
  408. If(O34 ≟ 1, Expand[((G34(0) * x) + (K34(0) * y)) / P34], Expand[((G34(0) * x) + (K34(0) * y)) / P34] / O34) → T34
  409. If(O35 ≟ 1, Expand[((G35(0) * x) + (K35(0) * y)) / P35], Expand[((G35(0) * x) + (K35(0) * y)) / P35] / O35) → T35
  410. If(O36 ≟ 1, Expand[((G36(0) * x) + (K36(0) * y)) / P36], Expand[((G36(0) * x) + (K36(0) * y)) / P36] / O36) → T36
  411. If(O37 ≟ 1, Expand[((G37(0) * x) + (K37(0) * y)) / P37], Expand[((G37(0) * x) + (K37(0) * y)) / P37] / O37) → T37
  412. If(O38 ≟ 1, Expand[((G38(0) * x) + (K38(0) * y)) / P38], Expand[((G38(0) * x) + (K38(0) * y)) / P38] / O38) → T38
  413. If(O39 ≟ 1, Expand[((G39(0) * x) + (K39(0) * y)) / P39], Expand[((G39(0) * x) + (K39(0) * y)) / P39] / O39) → T39
  414. If(O40 ≟ 1, Expand[((G40(0) * x) + (K40(0) * y)) / P40], Expand[((G40(0) * x) + (K40(0) * y)) / P40] / O40) → T40
  415. If(O41 ≟ 1, Expand[((G41(0) * x) + (K41(0) * y)) / P41], Expand[((G41(0) * x) + (K41(0) * y)) / P41] / O41) → T41
  416. If(O42 ≟ 1, Expand[((G42(0) * x) + (K42(0) * y)) / P42], Expand[((G42(0) * x) + (K42(0) * y)) / P42] / O42) → T42
  417. If(O43 ≟ 1, Expand[((G43(0) * x) + (K43(0) * y)) / P43], Expand[((G43(0) * x) + (K43(0) * y)) / P43] / O43) → T43
  418. If(O44 ≟ 1, Expand[((G44(0) * x) + (K44(0) * y)) / P44], Expand[((G44(0) * x) + (K44(0) * y)) / P44] / O44) → T44
  419. If(O45 ≟ 1, Expand[((G45(0) * x) + (K45(0) * y)) / P45], Expand[((G45(0) * x) + (K45(0) * y)) / P45] / O45) → T45
  420. If(O46 ≟ 1, Expand[((G46(0) * x) + (K46(0) * y)) / P46], Expand[((G46(0) * x) + (K46(0) * y)) / P46] / O46) → T46
  421. If(O47 ≟ 1, Expand[((G47(0) * x) + (K47(0) * y)) / P47], Expand[((G47(0) * x) + (K47(0) * y)) / P47] / O47) → T47
  422. If(O48 ≟ 1, Expand[((G48(0) * x) + (K48(0) * y)) / P48], Expand[((G48(0) * x) + (K48(0) * y)) / P48] / O48) → T48
  423. If(O49 ≟ 1, Expand[((G49(0) * x) + (K49(0) * y)) / P49], Expand[((G49(0) * x) + (K49(0) * y)) / P49] / O49) → T49
  424. If(O50 ≟ 1, Expand[((G50(0) * x) + (K50(0) * y)) / P50], Expand[((G50(0) * x) + (K50(0) * y)) / P50] / O50) → T50
  425. If(O51 ≟ 1, Expand[((G51(0) * x) + (K51(0) * y)) / P51], Expand[((G51(0) * x) + (K51(0) * y)) / P51] / O51) → T51
  426. If(O52 ≟ 1, Expand[((G52(0) * x) + (K52(0) * y)) / P52], Expand[((G52(0) * x) + (K52(0) * y)) / P52] / O52) → T52
  427. If(O1 ≟ 1, Expand[((G1(0) * x) + (K1(0) * y)) / P1], Expand[((G1(0) * x) + (K1(0) * y)) / P1] / O1) → T1
  428. If(Y42 ≟ 1, Expand[V42(x, y) / X42], Expand[V42(x, y) / X42] / Y42) → M10
  429. Expand(J1(x) + A1) → L1
  430. Expand(J2(x) + A2) → L2
  431. Expand(J3(x) + A3) → L3
  432. Expand(J4(x) + A4) → L4
  433. Expand(J5(x) + A5) → L5
  434. Expand(J6(x) + A6) → L6
  435. Expand(J7(x) + A7) → L7
  436. Expand(J8(x) + A8) → L8
  437. Expand(J9(x) + A9) → L9
  438. Expand(J10(x) + A10) → L10
  439. Expand(J11(x) + A11) → L11
  440. Expand(J12(x) + A12) → L12
  441. Expand(J13(x) + A13) → L13
  442. Expand(J14(x) + A14) → L14
  443. Expand(J15(x) + A15) → L15
  444. Expand(J16(x) + A16) → L16
  445. Expand(J17(x) + A17) → L17
  446. Expand(J18(x) + A18) → L18
  447. Expand(J19(x) + A19) → L19
  448. Expand(J20(x) + A20) → L20
  449. Expand(J21(x) + A21) → L21
  450. Expand(J22(x) + A22) → L22
  451. Expand(J23(x) + A23) → L23
  452. Expand(J24(x) + A24) → L24
  453. Expand(J25(x) + A25) → L25
  454. Expand(J26(x) + A26) → L26
  455. Expand(J27(x) + A27) → L27
  456. Expand(J28(x) + A28) → L28
  457. Expand(J29(x) + A29) → L29
  458. Expand(J30(x) + A30) → L30
  459. Expand(J31(x) + A31) → L31
  460. Expand(J32(x) + A32) → L32
  461. Expand(J33(x) + A33) → L33
  462. Expand(J34(x) + A34) → L34
  463. Expand(J35(x) + A35) → L35
  464. Expand(J36(x) + A36) → L36
  465. Expand(J37(x) + A37) → L37
  466. Expand(J38(x) + A38) → L38
  467. Expand(J39(x) + A39) → L39
  468. Expand(J40(x) + A40) → L40
  469. Expand(J41(x) + A41) → L41
  470. Expand(J43(x) + A43) → L43
  471. Expand(J44(x) + A44) → L44
  472. Expand(J45(x) + A45) → L45
  473. Expand(J46(x) + A46) → L46
  474. Expand(J47(x) + A47) → L47
  475. Expand(J48(x) + A48) → L48
  476. Expand(J49(x) + A49) → L49
  477. Expand(J50(x) + A50) → L50
  478. Expand(J51(x) + A51) → L51
  479. Expand(J52(x) + A52) → L52
  480. Expand((G1(0) * x) + (L1(0) * y)) → W1
  481. Expand((H1(0) * x) + (J1(0) * y)) → V1
  482. Expand((G2(0) * x) + (L2(0) * y)) → W2
  483. Expand((H2(0) * x) + (J2(0) * y)) → V2
  484. Expand((G3(0) * x) + (L3(0) * y)) → W3
  485. Expand((H3(0) * x) + (J3(0) * y)) → V3
  486. Expand((G4(0) * x) + (L4(0) * y)) → W4
  487. Expand((H4(0) * x) + (J4(0) * y)) → V4
  488. Expand((G5(0) * x) + (L5(0) * y)) → W5
  489. Expand((H5(0) * x) + (J5(0) * y)) → V5
  490. Expand((G6(0) * x) + (L6(0) * y)) → W6
  491. Expand((H6(0) * x) + (J6(0) * y)) → V6
  492. Expand((G7(0) * x) + (L7(0) * y)) → W7
  493. Expand((H7(0) * x) + (J7(0) * y)) → V7
  494. Expand((G8(0) * x) + (L8(0) * y)) → W8
  495. Expand((H8(0) * x) + (J8(0) * y)) → V8
  496. Expand((G9(0) * x) + (L9(0) * y)) → W9
  497. Expand((H9(0) * x) + (J9(0) * y)) → V9
  498. Expand((G10(0) * x) + (L10(0) * y)) → W10
  499. Expand((H10(0) * x) + (J10(0) * y)) → V10
  500. Expand((G11(0) * x) + (L11(0) * y)) → W11
  501. Expand((H11(0) * x) + (J11(0) * y)) → V11
  502. Expand((G12(0) * x) + (L12(0) * y)) → W12
  503. Expand((H12(0) * x) + (J12(0) * y)) → V12
  504. Expand((G13(0) * x) + (L13(0) * y)) → W13
  505. Expand((H13(0) * x) + (J13(0) * y)) → V13
  506. Expand((G14(0) * x) + (L14(0) * y)) → W14
  507. Expand((H14(0) * x) + (J14(0) * y)) → V14
  508. Expand((G15(0) * x) + (L15(0) * y)) → W15
  509. Expand((H15(0) * x) + (J15(0) * y)) → V15
  510. Expand((G16(0) * x) + (L16(0) * y)) → W16
  511. Expand((H16(0) * x) + (J16(0) * y)) → V16
  512. Expand((G17(0) * x) + (L17(0) * y)) → W17
  513. Expand((H17(0) * x) + (J17(0) * y)) → V17
  514. Expand((G18(0) * x) + (L18(0) * y)) → W18
  515. Expand((H18(0) * x) + (J18(0) * y)) → V18
  516. Expand((G19(0) * x) + (L19(0) * y)) → W19
  517. Expand((H19(0) * x) + (J19(0) * y)) → V19
  518. Expand((G20(0) * x) + (L20(0) * y)) → W20
  519. Expand((H20(0) * x) + (J20(0) * y)) → V20
  520. Expand((G21(0) * x) + (L21(0) * y)) → W21
  521. Expand((H21(0) * x) + (J21(0) * y)) → V21
  522. Expand((G22(0) * x) + (L22(0) * y)) → W22
  523. Expand((H22(0) * x) + (J22(0) * y)) → V22
  524. Expand((G23(0) * x) + (L23(0) * y)) → W23
  525. Expand((H23(0) * x) + (J23(0) * y)) → V23
  526. Expand((G24(0) * x) + (L24(0) * y)) → W24
  527. Expand((H24(0) * x) + (J24(0) * y)) → V24
  528. Expand((G25(0) * x) + (L25(0) * y)) → W25
  529. Expand((H25(0) * x) + (J25(0) * y)) → V25
  530. Expand((G26(0) * x) + (L26(0) * y)) → W26
  531. Expand((H26(0) * x) + (J26(0) * y)) → V26
  532. Expand((G27(0) * x) + (L27(0) * y)) → W27
  533. Expand((H27(0) * x) + (J27(0) * y)) → V27
  534. Expand((G28(0) * x) + (L28(0) * y)) → W28
  535. Expand((H28(0) * x) + (J28(0) * y)) → V28
  536. Expand((G29(0) * x) + (L29(0) * y)) → W29
  537. Expand((H29(0) * x) + (J29(0) * y)) → V29
  538. Expand((G30(0) * x) + (L30(0) * y)) → W30
  539. Expand((H30(0) * x) + (J30(0) * y)) → V30
  540. Expand((G31(0) * x) + (L31(0) * y)) → W31
  541. Expand((H31(0) * x) + (J31(0) * y)) → V31
  542. Expand((G32(0) * x) + (L32(0) * y)) → W32
  543. Expand((H32(0) * x) + (J32(0) * y)) → V32
  544. Expand((G33(0) * x) + (L33(0) * y)) → W33
  545. Expand((H33(0) * x) + (J33(0) * y)) → V33
  546. Expand((G34(0) * x) + (L34(0) * y)) → W34
  547. Expand((H34(0) * x) + (J34(0) * y)) → V34
  548. Expand((G35(0) * x) + (L35(0) * y)) → W35
  549. Expand((H35(0) * x) + (J35(0) * y)) → V35
  550. Expand((G36(0) * x) + (L36(0) * y)) → W36
  551. Expand((H36(0) * x) + (J36(0) * y)) → V36
  552. Expand((G37(0) * x) + (L37(0) * y)) → W37
  553. Expand((H37(0) * x) + (J37(0) * y)) → V37
  554. Expand((G38(0) * x) + (L38(0) * y)) → W38
  555. Expand((H38(0) * x) + (J38(0) * y)) → V38
  556. Expand((G39(0) * x) + (L39(0) * y)) → W39
  557. Expand((H39(0) * x) + (J39(0) * y)) → V39
  558. Expand((G40(0) * x) + (L40(0) * y)) → W40
  559. Expand((H40(0) * x) + (J40(0) * y)) → V40
  560. Expand((G41(0) * x) + (L41(0) * y)) → W41
  561. Expand((H41(0) * x) + (J41(0) * y)) → V41
  562. Expand((G42(0) * x) + (L42(0) * y)) → W42
  563. Expand((G43(0) * x) + (L43(0) * y)) → W43
  564. Expand((H43(0) * x) + (J43(0) * y)) → V43
  565. Expand((G44(0) * x) + (L44(0) * y)) → W44
  566. Expand((H44(0) * x) + (J44(0) * y)) → V44
  567. Expand((G45(0) * x) + (L45(0) * y)) → W45
  568. Expand((H45(0) * x) + (J45(0) * y)) → V45
  569. Expand((G46(0) * x) + (L46(0) * y)) → W46
  570. Expand((H46(0) * x) + (J46(0) * y)) → V46
  571. Expand((G47(0) * x) + (L47(0) * y)) → W47
  572. Expand((H47(0) * x) + (J47(0) * y)) → V47
  573. Expand((G48(0) * x) + (L48(0) * y)) → W48
  574. Expand((H48(0) * x) + (J48(0) * y)) → V48
  575. Expand((G49(0) * x) + (L49(0) * y)) → W49
  576. Expand((H49(0) * x) + (J49(0) * y)) → V49
  577. Expand((G50(0) * x) + (L50(0) * y)) → W50
  578. Expand((H50(0) * x) + (J50(0) * y)) → V50
  579. Expand((G51(0) * x) + (L51(0) * y)) → W51
  580. Expand((H51(0) * x) + (J51(0) * y)) → V51
  581. Expand((G52(0) * x) + (L52(0) * y)) → W52
  582. Expand((H52(0) * x) + (J52(0) * y)) → V52
  583. GCD(H1(0), J1(0)) → X1
  584. GCD(H2(0), J2(0)) → X2
  585. GCD(H3(0), J3(0)) → X3
  586. GCD(H4(0), J4(0)) → X4
  587. GCD(H5(0), J5(0)) → X5
  588. GCD(H6(0), J6(0)) → X6
  589. GCD(H7(0), J7(0)) → X7
  590. GCD(H8(0), J8(0)) → X8
  591. GCD(H9(0), J9(0)) → X9
  592. GCD(H10(0), J10(0)) → X10
  593. GCD(H11(0), J11(0)) → X11
  594. GCD(H12(0), J12(0)) → X12
  595. GCD(H13(0), J13(0)) → X13
  596. GCD(H14(0), J14(0)) → X14
  597. GCD(H15(0), J15(0)) → X15
  598. GCD(H16(0), J16(0)) → X16
  599. GCD(H17(0), J17(0)) → X17
  600. GCD(H18(0), J18(0)) → X18
  601. GCD(H19(0), J19(0)) → X19
  602. GCD(H20(0), J20(0)) → X20
  603. GCD(H21(0), J21(0)) → X21
  604. GCD(H22(0), J22(0)) → X22
  605. GCD(H23(0), J23(0)) → X23
  606. GCD(H24(0), J24(0)) → X24
  607. GCD(H25(0), J25(0)) → X25
  608. GCD(H26(0), J26(0)) → X26
  609. GCD(H27(0), J27(0)) → X27
  610. GCD(H28(0), J28(0)) → X28
  611. GCD(H29(0), J29(0)) → X29
  612. GCD(H30(0), J30(0)) → X30
  613. GCD(H31(0), J31(0)) → X31
  614. GCD(H32(0), J32(0)) → X32
  615. GCD(H33(0), J33(0)) → X33
  616. GCD(H34(0), J34(0)) → X34
  617. GCD(H35(0), J35(0)) → X35
  618. GCD(H36(0), J36(0)) → X36
  619. GCD(H37(0), J37(0)) → X37
  620. GCD(H38(0), J38(0)) → X38
  621. GCD(H39(0), J39(0)) → X39
  622. GCD(H40(0), J40(0)) → X40
  623. GCD(H41(0), J41(0)) → X41
  624. GCD(H43(0), J43(0)) → X43
  625. GCD(H44(0), J44(0)) → X44
  626. GCD(H45(0), J45(0)) → X45
  627. GCD(H46(0), J46(0)) → X46
  628. GCD(H47(0), J47(0)) → X47
  629. GCD(H48(0), J48(0)) → X48
  630. GCD(H49(0), J49(0)) → X49
  631. GCD(H50(0), J50(0)) → X50
  632. GCD(H51(0), J51(0)) → X51
  633. GCD(H52(0), J52(0)) → X52
  634. GCD(G1(0), L1(0)) → Y1
  635. GCD(G2(0), L2(0)) → Y2
  636. GCD(G3(0), L3(0)) → Y3
  637. GCD(G4(0), L4(0)) → Y4
  638. GCD(G5(0), L5(0)) → Y5
  639. GCD(G6(0), L6(0)) → Y6
  640. GCD(G7(0), L7(0)) → Y7
  641. GCD(G8(0), L8(0)) → Y8
  642. GCD(G9(0), L9(0)) → Y9
  643. GCD(G10(0), L10(0)) → Y10
  644. GCD(G11(0), L11(0)) → Y11
  645. GCD(G12(0), L12(0)) → Y12
  646. GCD(G13(0), L13(0)) → Y13
  647. GCD(G14(0), L14(0)) → Y14
  648. GCD(G15(0), L15(0)) → Y15
  649. GCD(G16(0), L16(0)) → Y16
  650. GCD(G17(0), L17(0)) → Y17
  651. GCD(G18(0), L18(0)) → Y18
  652. GCD(G19(0), L19(0)) → Y19
  653. GCD(G20(0), L20(0)) → Y20
  654. GCD(G21(0), L21(0)) → Y21
  655. GCD(G22(0), L22(0)) → Y22
  656. GCD(G23(0), L23(0)) → Y23
  657. GCD(G24(0), L24(0)) → Y24
  658. GCD(G25(0), L25(0)) → Y25
  659. GCD(G26(0), L26(0)) → Y26
  660. GCD(G27(0), L27(0)) → Y27
  661. GCD(G28(0), L28(0)) → Y28
  662. GCD(G29(0), L29(0)) → Y29
  663. GCD(G30(0), L30(0)) → Y30
  664. GCD(G31(0), L31(0)) → Y31
  665. GCD(G32(0), L32(0)) → Y32
  666. GCD(G33(0), L33(0)) → Y33
  667. GCD(G34(0), L34(0)) → Y34
  668. GCD(G35(0), L35(0)) → Y35
  669. GCD(G36(0), L36(0)) → Y36
  670. GCD(G37(0), L37(0)) → Y37
  671. GCD(G38(0), L38(0)) → Y38
  672. GCD(G39(0), L39(0)) → Y39
  673. GCD(G40(0), L40(0)) → Y40
  674. GCD(G41(0), L41(0)) → Y41
  675. GCD(G43(0), L43(0)) → Y43
  676. GCD(G44(0), L44(0)) → Y44
  677. GCD(G45(0), L45(0)) → Y45
  678. GCD(G46(0), L46(0)) → Y46
  679. GCD(G47(0), L47(0)) → Y47
  680. GCD(G48(0), L48(0)) → Y48
  681. GCD(G49(0), L49(0)) → Y49
  682. GCD(G50(0), L50(0)) → Y50
  683. GCD(G51(0), L51(0)) → Y51
  684. GCD(G52(0), L52(0)) → Y52
  685. If(P1 ≟ 1, Expand[M1(x, y) / O1], Expand[M1(x, y) / O1] / P1) → S1
  686. If(P2 ≟ 1, Expand[M2(x, y) / O2], Expand[M2(x, y) / O2] / P2) → S2
  687. If(P3 ≟ 1, Expand[M3(x, y) / O3], Expand[M3(x, y) / O3] / P3) → S3
  688. If(P4 ≟ 1, Expand[M4(x, y) / O4], Expand[M4(x, y) / O4] / P4) → S4
  689. If(P5 ≟ 1, Expand[M5(x, y) / O5], Expand[M5(x, y) / O5] / P5) → S5
  690. If(P6 ≟ 1, Expand[M6(x, y) / O6], Expand[M6(x, y) / O6] / P6) → S6
  691. If(P7 ≟ 1, Expand[M7(x, y) / O7], Expand[M7(x, y) / O7] / P7) → S7
  692. If(P8 ≟ 1, Expand[M8(x, y) / O8], Expand[M8(x, y) / O8] / P8) → S8
  693. If(P9 ≟ 1, Expand[M9(x, y) / O9], Expand[M9(x, y) / O9] / P9) → S9
  694. If(P10 ≟ 1, Expand[M10(x, y) / O10], Expand[M10(x, y) / O10] / P10) → S10
  695. If(P11 ≟ 1, Expand[M11(x, y) / O11], Expand[M11(x, y) / O11] / P11) → S11
  696. If(P12 ≟ 1, Expand[M12(x, y) / O12], Expand[M12(x, y) / O12] / P12) → S12
  697. If(P13 ≟ 1, Expand[M13(x, y) / O13], Expand[M13(x, y) / O13] / P13) → S13
  698. If(P14 ≟ 1, Expand[M14(x, y) / O14], Expand[M14(x, y) / O14] / P14) → S14
  699. If(P15 ≟ 1, Expand[M15(x, y) / O15], Expand[M15(x, y) / O15] / P15) → S15
  700. If(P16 ≟ 1, Expand[M16(x, y) / O16], Expand[M16(x, y) / O16] / P16) → S16
  701. If(P17 ≟ 1, Expand[M17(x, y) / O17], Expand[M17(x, y) / O17] / P17) → S17
  702. If(P18 ≟ 1, Expand[M18(x, y) / O18], Expand[M18(x, y) / O18] / P18) → S18
  703. If(P19 ≟ 1, Expand[M19(x, y) / O19], Expand[M19(x, y) / O19] / P19) → S19
  704. If(P20 ≟ 1, Expand[M20(x, y) / O20], Expand[M20(x, y) / O20] / P20) → S20
  705. If(P21 ≟ 1, Expand[M21(x, y) / O21], Expand[M21(x, y) / O21] / P21) → S21
  706. If(P22 ≟ 1, Expand[M22(x, y) / O22], Expand[M22(x, y) / O22] / P22) → S22
  707. If(P23 ≟ 1, Expand[M23(x, y) / O23], Expand[M23(x, y) / O23] / P23) → S23
  708. If(P24 ≟ 1, Expand[M24(x, y) / O24], Expand[M24(x, y) / O24] / P24) → S24
  709. If(P25 ≟ 1, Expand[M25(x, y) / O25], Expand[M25(x, y) / O25] / P25) → S25
  710. If(P26 ≟ 1, Expand[M26(x, y) / O26], Expand[M26(x, y) / O26] / P26) → S26
  711. If(P27 ≟ 1, Expand[M27(x, y) / O27], Expand[M27(x, y) / O27] / P27) → S27
  712. If(P28 ≟ 1, Expand[M28(x, y) / O28], Expand[M28(x, y) / O28] / P28) → S28
  713. If(P29 ≟ 1, Expand[M29(x, y) / O29], Expand[M29(x, y) / O29] / P29) → S29
  714. If(P30 ≟ 1, Expand[M30(x, y) / O30], Expand[M30(x, y) / O30] / P30) → S30
  715. If(P31 ≟ 1, Expand[M31(x, y) / O31], Expand[M31(x, y) / O31] / P31) → S31
  716. If(P32 ≟ 1, Expand[M32(x, y) / O32], Expand[M32(x, y) / O32] / P32) → S32
  717. If(P33 ≟ 1, Expand[M33(x, y) / O33], Expand[M33(x, y) / O33] / P33) → S33
  718. If(P34 ≟ 1, Expand[M34(x, y) / O34], Expand[M34(x, y) / O34] / P34) → S34
  719. If(P35 ≟ 1, Expand[M35(x, y) / O35], Expand[M35(x, y) / O35] / P35) → S35
  720. If(P36 ≟ 1, Expand[M36(x, y) / O36], Expand[M36(x, y) / O36] / P36) → S36
  721. If(P37 ≟ 1, Expand[M37(x, y) / O37], Expand[M37(x, y) / O37] / P37) → S37
  722. If(P38 ≟ 1, Expand[M38(x, y) / O38], Expand[M38(x, y) / O38] / P38) → S38
  723. If(P39 ≟ 1, Expand[M39(x, y) / O39], Expand[M39(x, y) / O39] / P39) → S39
  724. If(P40 ≟ 1, Expand[M40(x, y) / O40], Expand[M40(x, y) / O40] / P40) → S40
  725. If(P41 ≟ 1, Expand[M41(x, y) / O41], Expand[M41(x, y) / O41] / P41) → S41
  726. If(P42 ≟ 1, Expand[M42(x, y) / O42], Expand[M42(x, y) / O42] / P42) → S42
  727. If(P43 ≟ 1, Expand[M43(x, y) / O43], Expand[M43(x, y) / O43] / P43) → S43
  728. If(P44 ≟ 1, Expand[M44(x, y) / O44], Expand[M44(x, y) / O44] / P44) → S44
  729. If(P45 ≟ 1, Expand[M45(x, y) / O45], Expand[M45(x, y) / O45] / P45) → S45
  730. If(P46 ≟ 1, Expand[M46(x, y) / O46], Expand[M46(x, y) / O46] / P46) → S46
  731. If(P47 ≟ 1, Expand[M47(x, y) / O47], Expand[M47(x, y) / O47] / P47) → S47
  732. If(P48 ≟ 1, Expand[M48(x, y) / O48], Expand[M48(x, y) / O48] / P48) → S48
  733. If(P49 ≟ 1, Expand[M49(x, y) / O49], Expand[M49(x, y) / O49] / P49) → S49
  734. If(P50 ≟ 1, Expand[M50(x, y) / O50], Expand[M50(x, y) / O50] / P50) → S50
  735. If(P51 ≟ 1, Expand[M51(x, y) / O51], Expand[M51(x, y) / O51] / P51) → S51
  736. If(P52 ≟ 1, Expand[M52(x, y) / O52], Expand[M52(x, y) / O52] / P52) → S52
  737. If(Y1 ≟ 1, Expand[V1(x, y) / X1], Expand[V1(x, y) / X1] / Y1) → AB1
  738. If(Y2 ≟ 1, Expand[V2(x, y) / X2], Expand[V2(x, y) / X2] / Y2) → AB2
  739. If(Y3 ≟ 1, Expand[V3(x, y) / X3], Expand[V3(x, y) / X3] / Y3) → AB3
  740. If(Y4 ≟ 1, Expand[V4(x, y) / X4], Expand[V4(x, y) / X4] / Y4) → AB4
  741. If(Y5 ≟ 1, Expand[V5(x, y) / X5], Expand[V5(x, y) / X5] / Y5) → AB5
  742. If(Y6 ≟ 1, Expand[V6(x, y) / X6], Expand[V6(x, y) / X6] / Y6) → AB6
  743. If(Y7 ≟ 1, Expand[V7(x, y) / X7], Expand[V7(x, y) / X7] / Y7) → AB7
  744. If(Y8 ≟ 1, Expand[V8(x, y) / X8], Expand[V8(x, y) / X8] / Y8) → AB8
  745. If(Y9 ≟ 1, Expand[V9(x, y) / X9], Expand[V9(x, y) / X9] / Y9) → AB9
  746. If(Y10 ≟ 1, Expand[V10(x, y) / X10], Expand[V10(x, y) / X10] / Y10) → AB10
  747. If(Y11 ≟ 1, Expand[V11(x, y) / X11], Expand[V11(x, y) / X11] / Y11) → AB11
  748. If(Y12 ≟ 1, Expand[V12(x, y) / X12], Expand[V12(x, y) / X12] / Y12) → AB12
  749. If(Y13 ≟ 1, Expand[V13(x, y) / X13], Expand[V13(x, y) / X13] / Y13) → AB13
  750. If(Y14 ≟ 1, Expand[V14(x, y) / X14], Expand[V14(x, y) / X14] / Y14) → AB14
  751. If(Y15 ≟ 1, Expand[V15(x, y) / X15], Expand[V15(x, y) / X15] / Y15) → AB15
  752. If(Y16 ≟ 1, Expand[V16(x, y) / X16], Expand[V16(x, y) / X16] / Y16) → AB16
  753. If(Y17 ≟ 1, Expand[V17(x, y) / X17], Expand[V17(x, y) / X17] / Y17) → AB17
  754. If(Y18 ≟ 1, Expand[V18(x, y) / X18], Expand[V18(x, y) / X18] / Y18) → AB18
  755. If(Y19 ≟ 1, Expand[V19(x, y) / X19], Expand[V19(x, y) / X19] / Y19) → AB19
  756. If(Y20 ≟ 1, Expand[V20(x, y) / X20], Expand[V20(x, y) / X20] / Y20) → AB20
  757. If(Y21 ≟ 1, Expand[V21(x, y) / X21], Expand[V21(x, y) / X21] / Y21) → AB21
  758. If(Y22 ≟ 1, Expand[V22(x, y) / X22], Expand[V22(x, y) / X22] / Y22) → AB22
  759. If(Y23 ≟ 1, Expand[V23(x, y) / X23], Expand[V23(x, y) / X23] / Y23) → AB23
  760. If(Y24 ≟ 1, Expand[V24(x, y) / X24], Expand[V24(x, y) / X24] / Y24) → AB24
  761. If(Y25 ≟ 1, Expand[V25(x, y) / X25], Expand[V25(x, y) / X25] / Y25) → AB25
  762. If(Y26 ≟ 1, Expand[V26(x, y) / X26], Expand[V26(x, y) / X26] / Y26) → AB26
  763. If(Y27 ≟ 1, Expand[V27(x, y) / X27], Expand[V27(x, y) / X27] / Y27) → AB27
  764. If(Y28 ≟ 1, Expand[V28(x, y) / X28], Expand[V28(x, y) / X28] / Y28) → AB28
  765. If(Y29 ≟ 1, Expand[V29(x, y) / X29], Expand[V29(x, y) / X29] / Y29) → AB29
  766. If(Y30 ≟ 1, Expand[V30(x, y) / X30], Expand[V30(x, y) / X30] / Y30) → AB30
  767. If(Y31 ≟ 1, Expand[V31(x, y) / X31], Expand[V31(x, y) / X31] / Y31) → AB31
  768. If(Y32 ≟ 1, Expand[V32(x, y) / X32], Expand[V32(x, y) / X32] / Y32) → AB32
  769. If(Y33 ≟ 1, Expand[V33(x, y) / X33], Expand[V33(x, y) / X33] / Y33) → AB33
  770. If(Y34 ≟ 1, Expand[V34(x, y) / X34], Expand[V34(x, y) / X34] / Y34) → AB34
  771. If(Y35 ≟ 1, Expand[V35(x, y) / X35], Expand[V35(x, y) / X35] / Y35) → AB35
  772. If(Y36 ≟ 1, Expand[V36(x, y) / X36], Expand[V36(x, y) / X36] / Y36) → AB36
  773. If(Y37 ≟ 1, Expand[V37(x, y) / X37], Expand[V37(x, y) / X37] / Y37) → AB37
  774. If(Y38 ≟ 1, Expand[V38(x, y) / X38], Expand[V38(x, y) / X38] / Y38) → AB38
  775. If(Y39 ≟ 1, Expand[V39(x, y) / X39], Expand[V39(x, y) / X39] / Y39) → AB39
  776. If(Y40 ≟ 1, Expand[V40(x, y) / X40], Expand[V40(x, y) / X40] / Y40) → AB40
  777. If(Y41 ≟ 1, Expand[V41(x, y) / X41], Expand[V41(x, y) / X41] / Y41) → AB41
  778. If(Y42 ≟ 1, Expand[V42(x, y) / X42], Expand[V42(x, y) / X42] / Y42) → AB42
  779. If(Y43 ≟ 1, Expand[V43(x, y) / X43], Expand[V43(x, y) / X43] / Y43) → AB43
  780. If(Y44 ≟ 1, Expand[V44(x, y) / X44], Expand[V44(x, y) / X44] / Y44) → AB44
  781. If(Y45 ≟ 1, Expand[V45(x, y) / X45], Expand[V45(x, y) / X45] / Y45) → AB45
  782. If(Y46 ≟ 1, Expand[V46(x, y) / X46], Expand[V46(x, y) / X46] / Y46) → AB46
  783. If(Y47 ≟ 1, Expand[V47(x, y) / X47], Expand[V47(x, y) / X47] / Y47) → AB47
  784. If(Y48 ≟ 1, Expand[V48(x, y) / X48], Expand[V48(x, y) / X48] / Y48) → AB48
  785. If(Y49 ≟ 1, Expand[V49(x, y) / X49], Expand[V49(x, y) / X49] / Y49) → AB49
  786. If(Y50 ≟ 1, Expand[V50(x, y) / X50], Expand[V50(x, y) / X50] / Y50) → AB50
  787. If(Y51 ≟ 1, Expand[V51(x, y) / X51], Expand[V51(x, y) / X51] / Y51) → AB51
  788. If(Y52 ≟ 1, Expand[V52(x, y) / X52], Expand[V52(x, y) / X52] / Y52) → AB52
  789. If(X1 ≟ 1, Expand[W1(x, y) / Y1], Expand[W1(x, y) / Y1] / X1) → AC1
  790. If(X2 ≟ 1, Expand[W2(x, y) / Y2], Expand[W2(x, y) / Y2] / X2) → AC2
  791. If(X3 ≟ 1, Expand[W3(x, y) / Y3], Expand[W3(x, y) / Y3] / X3) → AC3
  792. If(X4 ≟ 1, Expand[W4(x, y) / Y4], Expand[W4(x, y) / Y4] / X4) → AC4
  793. If(X5 ≟ 1, Expand[W5(x, y) / Y5], Expand[W5(x, y) / Y5] / X5) → AC5
  794. If(X6 ≟ 1, Expand[W6(x, y) / Y6], Expand[W6(x, y) / Y6] / X6) → AC6
  795. If(X7 ≟ 1, Expand[W7(x, y) / Y7], Expand[W7(x, y) / Y7] / X7) → AC7
  796. If(X8 ≟ 1, Expand[W8(x, y) / Y8], Expand[W8(x, y) / Y8] / X8) → AC8
  797. If(X9 ≟ 1, Expand[W9(x, y) / Y9], Expand[W9(x, y) / Y9] / X9) → AC9
  798. If(X10 ≟ 1, Expand[W10(x, y) / Y10], Expand[W10(x, y) / Y10] / X10) → AC10
  799. If(X11 ≟ 1, Expand[W11(x, y) / Y11], Expand[W11(x, y) / Y11] / X11) → AC11
  800. If(X12 ≟ 1, Expand[W12(x, y) / Y12], Expand[W12(x, y) / Y12] / X12) → AC12
  801. If(X13 ≟ 1, Expand[W13(x, y) / Y13], Expand[W13(x, y) / Y13] / X13) → AC13
  802. If(X14 ≟ 1, Expand[W14(x, y) / Y14], Expand[W14(x, y) / Y14] / X14) → AC14
  803. If(X15 ≟ 1, Expand[W15(x, y) / Y15], Expand[W15(x, y) / Y15] / X15) → AC15
  804. If(X16 ≟ 1, Expand[W16(x, y) / Y16], Expand[W16(x, y) / Y16] / X16) → AC16
  805. If(X17 ≟ 1, Expand[W17(x, y) / Y17], Expand[W17(x, y) / Y17] / X17) → AC17
  806. If(X18 ≟ 1, Expand[W18(x, y) / Y18], Expand[W18(x, y) / Y18] / X18) → AC18
  807. If(X19 ≟ 1, Expand[W19(x, y) / Y19], Expand[W19(x, y) / Y19] / X19) → AC19
  808. If(X20 ≟ 1, Expand[W20(x, y) / Y20], Expand[W20(x, y) / Y20] / X20) → AC20
  809. If(X21 ≟ 1, Expand[W21(x, y) / Y21], Expand[W21(x, y) / Y21] / X21) → AC21
  810. If(X22 ≟ 1, Expand[W22(x, y) / Y22], Expand[W22(x, y) / Y22] / X22) → AC22
  811. If(X23 ≟ 1, Expand[W23(x, y) / Y23], Expand[W23(x, y) / Y23] / X23) → AC23
  812. If(X24 ≟ 1, Expand[W24(x, y) / Y24], Expand[W24(x, y) / Y24] / X24) → AC24
  813. If(X25 ≟ 1, Expand[W25(x, y) / Y25], Expand[W25(x, y) / Y25] / X25) → AC25
  814. If(X26 ≟ 1, Expand[W26(x, y) / Y26], Expand[W26(x, y) / Y26] / X26) → AC26
  815. If(X27 ≟ 1, Expand[W27(x, y) / Y27], Expand[W27(x, y) / Y27] / X27) → AC27
  816. If(X28 ≟ 1, Expand[W28(x, y) / Y28], Expand[W28(x, y) / Y28] / X28) → AC28
  817. If(X29 ≟ 1, Expand[W29(x, y) / Y29], Expand[W29(x, y) / Y29] / X29) → AC29
  818. If(X30 ≟ 1, Expand[W30(x, y) / Y30], Expand[W30(x, y) / Y30] / X30) → AC30
  819. If(X31 ≟ 1, Expand[W31(x, y) / Y31], Expand[W31(x, y) / Y31] / X31) → AC31
  820. If(X32 ≟ 1, Expand[W32(x, y) / Y32], Expand[W32(x, y) / Y32] / X32) → AC32
  821. If(X33 ≟ 1, Expand[W33(x, y) / Y33], Expand[W33(x, y) / Y33] / X33) → AC33
  822. If(X34 ≟ 1, Expand[W34(x, y) / Y34], Expand[W34(x, y) / Y34] / X34) → AC34
  823. If(X35 ≟ 1, Expand[W35(x, y) / Y35], Expand[W35(x, y) / Y35] / X35) → AC35
  824. If(X36 ≟ 1, Expand[W36(x, y) / Y36], Expand[W36(x, y) / Y36] / X36) → AC36
  825. If(X37 ≟ 1, Expand[W37(x, y) / Y37], Expand[W37(x, y) / Y37] / X37) → AC37
  826. If(X38 ≟ 1, Expand[W38(x, y) / Y38], Expand[W38(x, y) / Y38] / X38) → AC38
  827. If(X39 ≟ 1, Expand[W39(x, y) / Y39], Expand[W39(x, y) / Y39] / X39) → AC39
  828. If(X40 ≟ 1, Expand[W40(x, y) / Y40], Expand[W40(x, y) / Y40] / X40) → AC40
  829. If(X41 ≟ 1, Expand[W41(x, y) / Y41], Expand[W41(x, y) / Y41] / X41) → AC41
  830. If(X42 ≟ 1, Expand[W42(x, y) / Y42], Expand[W42(x, y) / Y42] / X42) → AC42
  831. If(X43 ≟ 1, Expand[W43(x, y) / Y43], Expand[W43(x, y) / Y43] / X43) → AC43
  832. If(X44 ≟ 1, Expand[W44(x, y) / Y44], Expand[W44(x, y) / Y44] / X44) → AC44
  833. If(X45 ≟ 1, Expand[W45(x, y) / Y45], Expand[W45(x, y) / Y45] / X45) → AC45
  834. If(X46 ≟ 1, Expand[W46(x, y) / Y46], Expand[W46(x, y) / Y46] / X46) → AC46
  835. If(X47 ≟ 1, Expand[W47(x, y) / Y47], Expand[W47(x, y) / Y47] / X47) → AC47
  836. If(X48 ≟ 1, Expand[W48(x, y) / Y48], Expand[W48(x, y) / Y48] / X48) → AC48
  837. If(X49 ≟ 1, Expand[W49(x, y) / Y49], Expand[W49(x, y) / Y49] / X49) → AC49
  838. If(X50 ≟ 1, Expand[W50(x, y) / Y50], Expand[W50(x, y) / Y50] / X50) → AC50
  839. If(X51 ≟ 1, Expand[W51(x, y) / Y51], Expand[W51(x, y) / Y51] / X51) → AC51
  840. If(X52 ≟ 1, Expand[W52(x, y) / Y52], Expand[W52(x, y) / Y52] / X52) → AC52
  841. Random(1, 52) → r1
  842. If(P1 ≟ 1, Expand[(G1(0) / P1 * x) + (K1(0) / P1 * y)], (P1 * Expand[(G1(0) / P1 * x) + (K1(0) / P1 * y)])) → R1
  843. If(P2 ≟ 1, Expand[(G2(0) / P2 * x) + (K2(0) / P2 * y)], (P2 * Expand[(G2(0) / P2 * x) + (K2(0) / P2 * y)])) → R2
  844. If(P3 ≟ 1, Expand[(G3(0) / P3 * x) + (K3(0) / P3 * y)], (P3 * Expand[(G3(0) / P3 * x) + (K3(0) / P3 * y)])) → R3
  845. If(P4 ≟ 1, Expand[(G4(0) / P4 * x) + (K4(0) / P4 * y)], (P4 * Expand[(G4(0) / P4 * x) + (K4(0) / P4 * y)])) → R4
  846. If(P5 ≟ 1, Expand[(G5(0) / P5 * x) + (K5(0) / P5 * y)], (P5 * Expand[(G5(0) / P5 * x) + (K5(0) / P5 * y)])) → R5
  847. If(P6 ≟ 1, Expand[(G6(0) / P6 * x) + (K6(0) / P6 * y)], (P6 * Expand[(G6(0) / P6 * x) + (K6(0) / P6 * y)])) → R6
  848. If(P7 ≟ 1, Expand[(G7(0) / P7 * x) + (K7(0) / P7 * y)], (P7 * Expand[(G7(0) / P7 * x) + (K7(0) / P7 * y)])) → R7
  849. If(P8 ≟ 1, Expand[(G8(0) / P8 * x) + (K8(0) / P8 * y)], (P8 * Expand[(G8(0) / P8 * x) + (K8(0) / P8 * y)])) → R8
  850. If(P9 ≟ 1, Expand[(G9(0) / P9 * x) + (K9(0) / P9 * y)], (P9 * Expand[(G9(0) / P9 * x) + (K9(0) / P9 * y)])) → R9
  851. If(P10 ≟ 1, Expand[(G10(0) / P10 * x) + (K10(0) / P10 * y)], (P10 * Expand[(G10(0) / P10 * x) + (K10(0) / P10 * y)])) → R10
  852. If(P11 ≟ 1, Expand[(G11(0) / P11 * x) + (K11(0) / P11 * y)], (P11 * Expand[(G11(0) / P11 * x) + (K11(0) / P11 * y)])) → R11
  853. If(P12 ≟ 1, Expand[(G12(0) / P12 * x) + (K12(0) / P12 * y)], (P12 * Expand[(G12(0) / P12 * x) + (K12(0) / P12 * y)])) → R12
  854. If(P13 ≟ 1, Expand[(G13(0) / P13 * x) + (K13(0) / P13 * y)], (P13 * Expand[(G13(0) / P13 * x) + (K13(0) / P13 * y)])) → R13
  855. If(P14 ≟ 1, Expand[(G14(0) / P14 * x) + (K14(0) / P14 * y)], (P14 * Expand[(G14(0) / P14 * x) + (K14(0) / P14 * y)])) → R14
  856. If(P15 ≟ 1, Expand[(G15(0) / P15 * x) + (K15(0) / P15 * y)], (P15 * Expand[(G15(0) / P15 * x) + (K15(0) / P15 * y)])) → R15
  857. If(P16 ≟ 1, Expand[(G16(0) / P16 * x) + (K16(0) / P16 * y)], (P16 * Expand[(G16(0) / P16 * x) + (K16(0) / P16 * y)])) → R16
  858. If(P17 ≟ 1, Expand[(G17(0) / P17 * x) + (K17(0) / P17 * y)], (P17 * Expand[(G17(0) / P17 * x) + (K17(0) / P17 * y)])) → R17
  859. If(P18 ≟ 1, Expand[(G18(0) / P18 * x) + (K18(0) / P18 * y)], (P18 * Expand[(G18(0) / P18 * x) + (K18(0) / P18 * y)])) → R18
  860. If(P19 ≟ 1, Expand[(G19(0) / P19 * x) + (K19(0) / P19 * y)], (P19 * Expand[(G19(0) / P19 * x) + (K19(0) / P19 * y)])) → R19
  861. If(P20 ≟ 1, Expand[(G20(0) / P20 * x) + (K20(0) / P20 * y)], (P20 * Expand[(G20(0) / P20 * x) + (K20(0) / P20 * y)])) → R20
  862. If(P21 ≟ 1, Expand[(G21(0) / P21 * x) + (K21(0) / P21 * y)], (P21 * Expand[(G21(0) / P21 * x) + (K21(0) / P21 * y)])) → R21
  863. If(P22 ≟ 1, Expand[(G22(0) / P22 * x) + (K22(0) / P22 * y)], (P22 * Expand[(G22(0) / P22 * x) + (K22(0) / P22 * y)])) → R22
  864. If(P23 ≟ 1, Expand[(G23(0) / P23 * x) + (K23(0) / P23 * y)], (P23 * Expand[(G23(0) / P23 * x) + (K23(0) / P23 * y)])) → R23
  865. If(P24 ≟ 1, Expand[(G24(0) / P24 * x) + (K24(0) / P24 * y)], (P24 * Expand[(G24(0) / P24 * x) + (K24(0) / P24 * y)])) → R24
  866. If(P25 ≟ 1, Expand[(G25(0) / P25 * x) + (K25(0) / P25 * y)], (P25 * Expand[(G25(0) / P25 * x) + (K25(0) / P25 * y)])) → R25
  867. If(P26 ≟ 1, Expand[(G26(0) / P26 * x) + (K26(0) / P26 * y)], (P26 * Expand[(G26(0) / P26 * x) + (K26(0) / P26 * y)])) → R26
  868. If(P27 ≟ 1, Expand[(G27(0) / P27 * x) + (K27(0) / P27 * y)], (P27 * Expand[(G27(0) / P27 * x) + (K27(0) / P27 * y)])) → R27
  869. If(P28 ≟ 1, Expand[(G28(0) / P28 * x) + (K28(0) / P28 * y)], (P28 * Expand[(G28(0) / P28 * x) + (K28(0) / P28 * y)])) → R28
  870. If(P29 ≟ 1, Expand[(G29(0) / P29 * x) + (K29(0) / P29 * y)], (P29 * Expand[(G29(0) / P29 * x) + (K29(0) / P29 * y)])) → R29
  871. If(P30 ≟ 1, Expand[(G30(0) / P30 * x) + (K30(0) / P30 * y)], (P30 * Expand[(G30(0) / P30 * x) + (K30(0) / P30 * y)])) → R30
  872. If(P31 ≟ 1, Expand[(G31(0) / P31 * x) + (K31(0) / P31 * y)], (P31 * Expand[(G31(0) / P31 * x) + (K31(0) / P31 * y)])) → R31
  873. If(P32 ≟ 1, Expand[(G32(0) / P32 * x) + (K32(0) / P32 * y)], (P32 * Expand[(G32(0) / P32 * x) + (K32(0) / P32 * y)])) → R32
  874. If(P33 ≟ 1, Expand[(G33(0) / P33 * x) + (K33(0) / P33 * y)], (P33 * Expand[(G33(0) / P33 * x) + (K33(0) / P33 * y)])) → R33
  875. If(P34 ≟ 1, Expand[(G34(0) / P34 * x) + (K34(0) / P34 * y)], (P34 * Expand[(G34(0) / P34 * x) + (K34(0) / P34 * y)])) → R34
  876. If(P35 ≟ 1, Expand[(G35(0) / P35 * x) + (K35(0) / P35 * y)], (P35 * Expand[(G35(0) / P35 * x) + (K35(0) / P35 * y)])) → R35
  877. If(P36 ≟ 1, Expand[(G36(0) / P36 * x) + (K36(0) / P36 * y)], (P36 * Expand[(G36(0) / P36 * x) + (K36(0) / P36 * y)])) → R36
  878. If(P37 ≟ 1, Expand[(G37(0) / P37 * x) + (K37(0) / P37 * y)], (P37 * Expand[(G37(0) / P37 * x) + (K37(0) / P37 * y)])) → R37
  879. If(P38 ≟ 1, Expand[(G38(0) / P38 * x) + (K38(0) / P38 * y)], (P38 * Expand[(G38(0) / P38 * x) + (K38(0) / P38 * y)])) → R38
  880. If(P39 ≟ 1, Expand[(G39(0) / P39 * x) + (K39(0) / P39 * y)], (P39 * Expand[(G39(0) / P39 * x) + (K39(0) / P39 * y)])) → R39
  881. If(P40 ≟ 1, Expand[(G40(0) / P40 * x) + (K40(0) / P40 * y)], (P40 * Expand[(G40(0) / P40 * x) + (K40(0) / P40 * y)])) → R40
  882. If(P41 ≟ 1, Expand[(G41(0) / P41 * x) + (K41(0) / P41 * y)], (P41 * Expand[(G41(0) / P41 * x) + (K41(0) / P41 * y)])) → R41
  883. If(P42 ≟ 1, Expand[(G42(0) / P42 * x) + (K42(0) / P42 * y)], (P42 * Expand[(G42(0) / P42 * x) + (K42(0) / P42 * y)])) → R42
  884. If(P43 ≟ 1, Expand[(G43(0) / P43 * x) + (K43(0) / P43 * y)], (P43 * Expand[(G43(0) / P43 * x) + (K43(0) / P43 * y)])) → R43
  885. If(P44 ≟ 1, Expand[(G44(0) / P44 * x) + (K44(0) / P44 * y)], (P44 * Expand[(G44(0) / P44 * x) + (K44(0) / P44 * y)])) → R44
  886. If(P45 ≟ 1, Expand[(G45(0) / P45 * x) + (K45(0) / P45 * y)], (P45 * Expand[(G45(0) / P45 * x) + (K45(0) / P45 * y)])) → R45
  887. If(P46 ≟ 1, Expand[(G46(0) / P46 * x) + (K46(0) / P46 * y)], (P46 * Expand[(G46(0) / P46 * x) + (K46(0) / P46 * y)])) → R46
  888. If(P47 ≟ 1, Expand[(G47(0) / P47 * x) + (K47(0) / P47 * y)], (P47 * Expand[(G47(0) / P47 * x) + (K47(0) / P47 * y)])) → R47
  889. If(P48 ≟ 1, Expand[(G48(0) / P48 * x) + (K48(0) / P48 * y)], (P48 * Expand[(G48(0) / P48 * x) + (K48(0) / P48 * y)])) → R48
  890. If(P49 ≟ 1, Expand[(G49(0) / P49 * x) + (K49(0) / P49 * y)], (P49 * Expand[(G49(0) / P49 * x) + (K49(0) / P49 * y)])) → R49
  891. If(P50 ≟ 1, Expand[(G50(0) / P50 * x) + (K50(0) / P50 * y)], (P50 * Expand[(G50(0) / P50 * x) + (K50(0) / P50 * y)])) → R50
  892. If(P51 ≟ 1, Expand[(G51(0) / P51 * x) + (K51(0) / P51 * y)], (P51 * Expand[(G51(0) / P51 * x) + (K51(0) / P51 * y)])) → R51
  893. If(P52 ≟ 1, Expand[(G52(0) / P52 * x) + (K52(0) / P52 * y)], (P52 * Expand[(G52(0) / P52 * x) + (K52(0) / P52 * y)])) → R52
  894. If(O1 ≟ 1, Expand[(H1(0) / O1 * x) + (I1(0) / O1 * y)], (O1 * Expand[(H1(0) / O1 * x) + (I1(0) / O1 * y)])) → Q1
  895. If(O2 ≟ 1, Expand[(H2(0) / O2 * x) + (I2(0) / O2 * y)], (O2 * Expand[(H2(0) / O2 * x) + (I2(0) / O2 * y)])) → Q2
  896. If(O3 ≟ 1, Expand[(H3(0) / O3 * x) + (I3(0) / O3 * y)], (O3 * Expand[(H3(0) / O3 * x) + (I3(0) / O3 * y)])) → Q3
  897. If(O4 ≟ 1, Expand[(H4(0) / O4 * x) + (I4(0) / O4 * y)], (O4 * Expand[(H4(0) / O4 * x) + (I4(0) / O4 * y)])) → Q4
  898. If(O5 ≟ 1, Expand[(H5(0) / O5 * x) + (I5(0) / O5 * y)], (O5 * Expand[(H5(0) / O5 * x) + (I5(0) / O5 * y)])) → Q5
  899. If(O6 ≟ 1, Expand[(H6(0) / O6 * x) + (I6(0) / O6 * y)], (O6 * Expand[(H6(0) / O6 * x) + (I6(0) / O6 * y)])) → Q6
  900. If(O7 ≟ 1, Expand[(H7(0) / O7 * x) + (I7(0) / O7 * y)], (O7 * Expand[(H7(0) / O7 * x) + (I7(0) / O7 * y)])) → Q7
  901. If(O8 ≟ 1, Expand[(H8(0) / O8 * x) + (I8(0) / O8 * y)], (O8 * Expand[(H8(0) / O8 * x) + (I8(0) / O8 * y)])) → Q8
  902. If(O9 ≟ 1, Expand[(H9(0) / O9 * x) + (I9(0) / O9 * y)], (O9 * Expand[(H9(0) / O9 * x) + (I9(0) / O9 * y)])) → Q9
  903. If(O10 ≟ 1, Expand[(H10(0) / O10 * x) + (I10(0) / O10 * y)], (O10 * Expand[(H10(0) / O10 * x) + (I10(0) / O10 * y)])) → Q10
  904. If(O11 ≟ 1, Expand[(H11(0) / O11 * x) + (I11(0) / O11 * y)], (O11 * Expand[(H11(0) / O11 * x) + (I11(0) / O11 * y)])) → Q11
  905. If(O12 ≟ 1, Expand[(H12(0) / O12 * x) + (I12(0) / O12 * y)], (O12 * Expand[(H12(0) / O12 * x) + (I12(0) / O12 * y)])) → Q12
  906. If(O13 ≟ 1, Expand[(H13(0) / O13 * x) + (I13(0) / O13 * y)], (O13 * Expand[(H13(0) / O13 * x) + (I13(0) / O13 * y)])) → Q13
  907. If(O14 ≟ 1, Expand[(H14(0) / O14 * x) + (I14(0) / O14 * y)], (O14 * Expand[(H14(0) / O14 * x) + (I14(0) / O14 * y)])) → Q14
  908. If(O15 ≟ 1, Expand[(H15(0) / O15 * x) + (I15(0) / O15 * y)], (O15 * Expand[(H15(0) / O15 * x) + (I15(0) / O15 * y)])) → Q15
  909. If(O16 ≟ 1, Expand[(H16(0) / O16 * x) + (I16(0) / O16 * y)], (O16 * Expand[(H16(0) / O16 * x) + (I16(0) / O16 * y)])) → Q16
  910. If(O17 ≟ 1, Expand[(H17(0) / O17 * x) + (I17(0) / O17 * y)], (O17 * Expand[(H17(0) / O17 * x) + (I17(0) / O17 * y)])) → Q17
  911. If(O18 ≟ 1, Expand[(H18(0) / O18 * x) + (I18(0) / O18 * y)], (O18 * Expand[(H18(0) / O18 * x) + (I18(0) / O18 * y)])) → Q18
  912. If(O19 ≟ 1, Expand[(H19(0) / O19 * x) + (I19(0) / O19 * y)], (O19 * Expand[(H19(0) / O19 * x) + (I19(0) / O19 * y)])) → Q19
  913. If(O20 ≟ 1, Expand[(H20(0) / O20 * x) + (I20(0) / O20 * y)], (O20 * Expand[(H20(0) / O20 * x) + (I20(0) / O20 * y)])) → Q20
  914. If(O21 ≟ 1, Expand[(H21(0) / O21 * x) + (I21(0) / O21 * y)], (O21 * Expand[(H21(0) / O21 * x) + (I21(0) / O21 * y)])) → Q21
  915. If(O22 ≟ 1, Expand[(H22(0) / O22 * x) + (I22(0) / O22 * y)], (O22 * Expand[(H22(0) / O22 * x) + (I22(0) / O22 * y)])) → Q22
  916. If(O23 ≟ 1, Expand[(H23(0) / O23 * x) + (I23(0) / O23 * y)], (O23 * Expand[(H23(0) / O23 * x) + (I23(0) / O23 * y)])) → Q23
  917. If(O24 ≟ 1, Expand[(H24(0) / O24 * x) + (I24(0) / O24 * y)], (O24 * Expand[(H24(0) / O24 * x) + (I24(0) / O24 * y)])) → Q24
  918. If(O25 ≟ 1, Expand[(H25(0) / O25 * x) + (I25(0) / O25 * y)], (O25 * Expand[(H25(0) / O25 * x) + (I25(0) / O25 * y)])) → Q25
  919. If(O26 ≟ 1, Expand[(H26(0) / O26 * x) + (I26(0) / O26 * y)], (O26 * Expand[(H26(0) / O26 * x) + (I26(0) / O26 * y)])) → Q26
  920. If(O27 ≟ 1, Expand[(H27(0) / O27 * x) + (I27(0) / O27 * y)], (O27 * Expand[(H27(0) / O27 * x) + (I27(0) / O27 * y)])) → Q27
  921. If(O28 ≟ 1, Expand[(H28(0) / O28 * x) + (I28(0) / O28 * y)], (O28 * Expand[(H28(0) / O28 * x) + (I28(0) / O28 * y)])) → Q28
  922. If(O29 ≟ 1, Expand[(H29(0) / O29 * x) + (I29(0) / O29 * y)], (O29 * Expand[(H29(0) / O29 * x) + (I29(0) / O29 * y)])) → Q29
  923. If(O30 ≟ 1, Expand[(H30(0) / O30 * x) + (I30(0) / O30 * y)], (O30 * Expand[(H30(0) / O30 * x) + (I30(0) / O30 * y)])) → Q30
  924. If(O31 ≟ 1, Expand[(H31(0) / O31 * x) + (I31(0) / O31 * y)], (O31 * Expand[(H31(0) / O31 * x) + (I31(0) / O31 * y)])) → Q31
  925. If(O32 ≟ 1, Expand[(H32(0) / O32 * x) + (I32(0) / O32 * y)], (O32 * Expand[(H32(0) / O32 * x) + (I32(0) / O32 * y)])) → Q32
  926. If(O33 ≟ 1, Expand[(H33(0) / O33 * x) + (I33(0) / O33 * y)], (O33 * Expand[(H33(0) / O33 * x) + (I33(0) / O33 * y)])) → Q33
  927. If(O34 ≟ 1, Expand[(H34(0) / O34 * x) + (I34(0) / O34 * y)], (O34 * Expand[(H34(0) / O34 * x) + (I34(0) / O34 * y)])) → Q34
  928. If(O35 ≟ 1, Expand[(H35(0) / O35 * x) + (I35(0) / O35 * y)], (O35 * Expand[(H35(0) / O35 * x) + (I35(0) / O35 * y)])) → Q35
  929. If(O36 ≟ 1, Expand[(H36(0) / O36 * x) + (I36(0) / O36 * y)], (O36 * Expand[(H36(0) / O36 * x) + (I36(0) / O36 * y)])) → Q36
  930. If(O37 ≟ 1, Expand[(H37(0) / O37 * x) + (I37(0) / O37 * y)], (O37 * Expand[(H37(0) / O37 * x) + (I37(0) / O37 * y)])) → Q37
  931. If(O38 ≟ 1, Expand[(H38(0) / O38 * x) + (I38(0) / O38 * y)], (O38 * Expand[(H38(0) / O38 * x) + (I38(0) / O38 * y)])) → Q38
  932. If(O39 ≟ 1, Expand[(H39(0) / O39 * x) + (I39(0) / O39 * y)], (O39 * Expand[(H39(0) / O39 * x) + (I39(0) / O39 * y)])) → Q39
  933. If(O40 ≟ 1, Expand[(H40(0) / O40 * x) + (I40(0) / O40 * y)], (O40 * Expand[(H40(0) / O40 * x) + (I40(0) / O40 * y)])) → Q40
  934. If(O41 ≟ 1, Expand[(H41(0) / O41 * x) + (I41(0) / O41 * y)], (O41 * Expand[(H41(0) / O41 * x) + (I41(0) / O41 * y)])) → Q41
  935. If(O42 ≟ 1, Expand[(H42(0) / O42 * x) + (I42(0) / O42 * y)], (O42 * Expand[(H42(0) / O42 * x) + (I42(0) / O42 * y)])) → Q42
  936. If(O43 ≟ 1, Expand[(H43(0) / O43 * x) + (I43(0) / O43 * y)], (O43 * Expand[(H43(0) / O43 * x) + (I43(0) / O43 * y)])) → Q43
  937. If(O44 ≟ 1, Expand[(H44(0) / O44 * x) + (I44(0) / O44 * y)], (O44 * Expand[(H44(0) / O44 * x) + (I44(0) / O44 * y)])) → Q44
  938. If(O45 ≟ 1, Expand[(H45(0) / O45 * x) + (I45(0) / O45 * y)], (O45 * Expand[(H45(0) / O45 * x) + (I45(0) / O45 * y)])) → Q45
  939. If(O46 ≟ 1, Expand[(H46(0) / O46 * x) + (I46(0) / O46 * y)], (O46 * Expand[(H46(0) / O46 * x) + (I46(0) / O46 * y)])) → Q46
  940. If(O47 ≟ 1, Expand[(H47(0) / O47 * x) + (I47(0) / O47 * y)], (O47 * Expand[(H47(0) / O47 * x) + (I47(0) / O47 * y)])) → Q47
  941. If(O48 ≟ 1, Expand[(H48(0) / O48 * x) + (I48(0) / O48 * y)], (O48 * Expand[(H48(0) / O48 * x) + (I48(0) / O48 * y)])) → Q48
  942. If(O49 ≟ 1, Expand[(H49(0) / O49 * x) + (I49(0) / O49 * y)], (O49 * Expand[(H49(0) / O49 * x) + (I49(0) / O49 * y)])) → Q49
  943. If(O50 ≟ 1, Expand[(H50(0) / O50 * x) + (I50(0) / O50 * y)], (O50 * Expand[(H50(0) / O50 * x) + (I50(0) / O50 * y)])) → Q50
  944. If(O51 ≟ 1, Expand[(H51(0) / O51 * x) + (I51(0) / O51 * y)], (O51 * Expand[(H51(0) / O51 * x) + (I51(0) / O51 * y)])) → Q51
  945. If(O52 ≟ 1, Expand[(H52(0) / O52 * x) + (I52(0) / O52 * y)], (O52 * Expand[(H52(0) / O52 * x) + (I52(0) / O52 * y)])) → Q52
  946. If(X3 ≟ 1, Expand[(H3(0) / X3 * x) + (J3(0) / X3 * y)], (X3 * Expand[(H3(0) / X3 * x) + (J3(0) / X3 * y)])) → Z3
  947. If(X1 ≟ 1, Expand[(H1(0) / X1 * x) + (J1(0) / X1 * y)], (X1 * Expand[(H1(0) / X1 * x) + (J1(0) / X1 * y)])) → Z1
  948. If(X2 ≟ 1, Expand[(H2(0) / X2 * x) + (J2(0) / X2 * y)], (X2 * Expand[(H2(0) / X2 * x) + (J2(0) / X2 * y)])) → Z2
  949. If(Y1 ≟ 1, Expand[(G1(0) / Y1 * x) + (L1(0) / Y1 * y)], (Y1 * Expand[(G1(0) / Y1 * x) + (L1(0) / Y1 * y)])) → AA1
  950. If(Y2 ≟ 1, Expand[(G2(0) / Y2 * x) + (L2(0) / Y2 * y)], (Y2 * Expand[(G2(0) / Y2 * x) + (L2(0) / Y2 * y)])) → AA2
  951. If(Y3 ≟ 1, Expand[(G3(0) / Y3 * x) + (L3(0) / Y3 * y)], (Y3 * Expand[(G3(0) / Y3 * x) + (L3(0) / Y3 * y)])) → AA3
  952. If(Y4 ≟ 1, Expand[(G4(0) / Y4 * x) + (L4(0) / Y4 * y)], (Y4 * Expand[(G4(0) / Y4 * x) + (L4(0) / Y4 * y)])) → AA4
  953. If(Y5 ≟ 1, Expand[(G5(0) / Y5 * x) + (L5(0) / Y5 * y)], (Y5 * Expand[(G5(0) / Y5 * x) + (L5(0) / Y5 * y)])) → AA5
  954. If(Y6 ≟ 1, Expand[(G6(0) / Y6 * x) + (L6(0) / Y6 * y)], (Y6 * Expand[(G6(0) / Y6 * x) + (L6(0) / Y6 * y)])) → AA6
  955. If(Y7 ≟ 1, Expand[(G7(0) / Y7 * x) + (L7(0) / Y7 * y)], (Y7 * Expand[(G7(0) / Y7 * x) + (L7(0) / Y7 * y)])) → AA7
  956. If(X4 ≟ 1, Expand[(H4(0) / X4 * x) + (J4(0) / X4 * y)], (X4 * Expand[(H4(0) / X4 * x) + (J4(0) / X4 * y)])) → Z4
  957. If(X5 ≟ 1, Expand[(H5(0) / X5 * x) + (J5(0) / X5 * y)], (X5 * Expand[(H5(0) / X5 * x) + (J5(0) / X5 * y)])) → Z5
  958. If(X6 ≟ 1, Expand[(H6(0) / X6 * x) + (J6(0) / X6 * y)], (X6 * Expand[(H6(0) / X6 * x) + (J6(0) / X6 * y)])) → Z6
  959. If(X7 ≟ 1, Expand[(H7(0) / X7 * x) + (J7(0) / X7 * y)], (X7 * Expand[(H7(0) / X7 * x) + (J7(0) / X7 * y)])) → Z7
  960. If(Y8 ≟ 1, Expand[(G8(0) / Y8 * x) + (L8(0) / Y8 * y)], (Y8 * Expand[(G8(0) / Y8 * x) + (L8(0) / Y8 * y)])) → AA8
  961. If(X8 ≟ 1, Expand[(H8(0) / X8 * x) + (J8(0) / X8 * y)], (X8 * Expand[(H8(0) / X8 * x) + (J8(0) / X8 * y)])) → Z8
  962. If(Y9 ≟ 1, Expand[(G9(0) / Y9 * x) + (L9(0) / Y9 * y)], (Y9 * Expand[(G9(0) / Y9 * x) + (L9(0) / Y9 * y)])) → AA9
  963. If(X9 ≟ 1, Expand[(H9(0) / X9 * x) + (J9(0) / X9 * y)], (X9 * Expand[(H9(0) / X9 * x) + (J9(0) / X9 * y)])) → Z9
  964. If(Y10 ≟ 1, Expand[(G10(0) / Y10 * x) + (L10(0) / Y10 * y)], (Y10 * Expand[(G10(0) / Y10 * x) + (L10(0) / Y10 * y)])) → AA10
  965. If(X10 ≟ 1, Expand[(H10(0) / X10 * x) + (J10(0) / X10 * y)], (X10 * Expand[(H10(0) / X10 * x) + (J10(0) / X10 * y)])) → Z10
  966. If(Y11 ≟ 1, Expand[(G11(0) / Y11 * x) + (L11(0) / Y11 * y)], (Y11 * Expand[(G11(0) / Y11 * x) + (L11(0) / Y11 * y)])) → AA11
  967. If(X11 ≟ 1, Expand[(H11(0) / X11 * x) + (J11(0) / X11 * y)], (X11 * Expand[(H11(0) / X11 * x) + (J11(0) / X11 * y)])) → Z11
  968. If(Y12 ≟ 1, Expand[(G12(0) / Y12 * x) + (L12(0) / Y12 * y)], (Y12 * Expand[(G12(0) / Y12 * x) + (L12(0) / Y12 * y)])) → AA12
  969. If(X12 ≟ 1, Expand[(H12(0) / X12 * x) + (J12(0) / X12 * y)], (X12 * Expand[(H12(0) / X12 * x) + (J12(0) / X12 * y)])) → Z12
  970. If(Y13 ≟ 1, Expand[(G13(0) / Y13 * x) + (L13(0) / Y13 * y)], (Y13 * Expand[(G13(0) / Y13 * x) + (L13(0) / Y13 * y)])) → AA13
  971. If(X13 ≟ 1, Expand[(H13(0) / X13 * x) + (J13(0) / X13 * y)], (X13 * Expand[(H13(0) / X13 * x) + (J13(0) / X13 * y)])) → Z13
  972. If(Y14 ≟ 1, Expand[(G14(0) / Y14 * x) + (L14(0) / Y14 * y)], (Y14 * Expand[(G14(0) / Y14 * x) + (L14(0) / Y14 * y)])) → AA14
  973. If(X14 ≟ 1, Expand[(H14(0) / X14 * x) + (J14(0) / X14 * y)], (X14 * Expand[(H14(0) / X14 * x) + (J14(0) / X14 * y)])) → Z14
  974. If(Y15 ≟ 1, Expand[(G15(0) / Y15 * x) + (L15(0) / Y15 * y)], (Y15 * Expand[(G15(0) / Y15 * x) + (L15(0) / Y15 * y)])) → AA15
  975. If(X15 ≟ 1, Expand[(H15(0) / X15 * x) + (J15(0) / X15 * y)], (X15 * Expand[(H15(0) / X15 * x) + (J15(0) / X15 * y)])) → Z15
  976. If(Y16 ≟ 1, Expand[(G16(0) / Y16 * x) + (L16(0) / Y16 * y)], (Y16 * Expand[(G16(0) / Y16 * x) + (L16(0) / Y16 * y)])) → AA16
  977. If(X16 ≟ 1, Expand[(H16(0) / X16 * x) + (J16(0) / X16 * y)], (X16 * Expand[(H16(0) / X16 * x) + (J16(0) / X16 * y)])) → Z16
  978. If(Y17 ≟ 1, Expand[(G17(0) / Y17 * x) + (L17(0) / Y17 * y)], (Y17 * Expand[(G17(0) / Y17 * x) + (L17(0) / Y17 * y)])) → AA17
  979. If(X17 ≟ 1, Expand[(H17(0) / X17 * x) + (J17(0) / X17 * y)], (X17 * Expand[(H17(0) / X17 * x) + (J17(0) / X17 * y)])) → Z17
  980. If(Y18 ≟ 1, Expand[(G18(0) / Y18 * x) + (L18(0) / Y18 * y)], (Y18 * Expand[(G18(0) / Y18 * x) + (L18(0) / Y18 * y)])) → AA18
  981. If(X18 ≟ 1, Expand[(H18(0) / X18 * x) + (J18(0) / X18 * y)], (X18 * Expand[(H18(0) / X18 * x) + (J18(0) / X18 * y)])) → Z18
  982. If(Y19 ≟ 1, Expand[(G19(0) / Y19 * x) + (L19(0) / Y19 * y)], (Y19 * Expand[(G19(0) / Y19 * x) + (L19(0) / Y19 * y)])) → AA19
  983. If(X19 ≟ 1, Expand[(H19(0) / X19 * x) + (J19(0) / X19 * y)], (X19 * Expand[(H19(0) / X19 * x) + (J19(0) / X19 * y)])) → Z19
  984. If(Y20 ≟ 1, Expand[(G20(0) / Y20 * x) + (L20(0) / Y20 * y)], (Y20 * Expand[(G20(0) / Y20 * x) + (L20(0) / Y20 * y)])) → AA20
  985. If(X20 ≟ 1, Expand[(H20(0) / X20 * x) + (J20(0) / X20 * y)], (X20 * Expand[(H20(0) / X20 * x) + (J20(0) / X20 * y)])) → Z20
  986. If(Y21 ≟ 1, Expand[(G21(0) / Y21 * x) + (L21(0) / Y21 * y)], (Y21 * Expand[(G21(0) / Y21 * x) + (L21(0) / Y21 * y)])) → AA21
  987. If(X21 ≟ 1, Expand[(H21(0) / X21 * x) + (J21(0) / X21 * y)], (X21 * Expand[(H21(0) / X21 * x) + (J21(0) / X21 * y)])) → Z21
  988. If(Y22 ≟ 1, Expand[(G22(0) / Y22 * x) + (L22(0) / Y22 * y)], (Y22 * Expand[(G22(0) / Y22 * x) + (L22(0) / Y22 * y)])) → AA22
  989. If(X22 ≟ 1, Expand[(H22(0) / X22 * x) + (J22(0) / X22 * y)], (X22 * Expand[(H22(0) / X22 * x) + (J22(0) / X22 * y)])) → Z22
  990. If(Y23 ≟ 1, Expand[(G23(0) / Y23 * x) + (L23(0) / Y23 * y)], (Y23 * Expand[(G23(0) / Y23 * x) + (L23(0) / Y23 * y)])) → AA23
  991. If(X23 ≟ 1, Expand[(H23(0) / X23 * x) + (J23(0) / X23 * y)], (X23 * Expand[(H23(0) / X23 * x) + (J23(0) / X23 * y)])) → Z23
  992. If(Y24 ≟ 1, Expand[(G24(0) / Y24 * x) + (L24(0) / Y24 * y)], (Y24 * Expand[(G24(0) / Y24 * x) + (L24(0) / Y24 * y)])) → AA24
  993. If(X24 ≟ 1, Expand[(H24(0) / X24 * x) + (J24(0) / X24 * y)], (X24 * Expand[(H24(0) / X24 * x) + (J24(0) / X24 * y)])) → Z24
  994. If(Y25 ≟ 1, Expand[(G25(0) / Y25 * x) + (L25(0) / Y25 * y)], (Y25 * Expand[(G25(0) / Y25 * x) + (L25(0) / Y25 * y)])) → AA25
  995. If(X25 ≟ 1, Expand[(H25(0) / X25 * x) + (J25(0) / X25 * y)], (X25 * Expand[(H25(0) / X25 * x) + (J25(0) / X25 * y)])) → Z25
  996. If(Y26 ≟ 1, Expand[(G26(0) / Y26 * x) + (L26(0) / Y26 * y)], (Y26 * Expand[(G26(0) / Y26 * x) + (L26(0) / Y26 * y)])) → AA26
  997. If(X26 ≟ 1, Expand[(H26(0) / X26 * x) + (J26(0) / X26 * y)], (X26 * Expand[(H26(0) / X26 * x) + (J26(0) / X26 * y)])) → Z26
  998. If(Y27 ≟ 1, Expand[(G27(0) / Y27 * x) + (L27(0) / Y27 * y)], (Y27 * Expand[(G27(0) / Y27 * x) + (L27(0) / Y27 * y)])) → AA27
  999. If(X27 ≟ 1, Expand[(H27(0) / X27 * x) + (J27(0) / X27 * y)], (X27 * Expand[(H27(0) / X27 * x) + (J27(0) / X27 * y)])) → Z27
  1000. If(Y28 ≟ 1, Expand[(G28(0) / Y28 * x) + (L28(0) / Y28 * y)], (Y28 * Expand[(G28(0) / Y28 * x) + (L28(0) / Y28 * y)])) → AA28
  1001. If(X28 ≟ 1, Expand[(H28(0) / X28 * x) + (J28(0) / X28 * y)], (X28 * Expand[(H28(0) / X28 * x) + (J28(0) / X28 * y)])) → Z28
  1002. If(Y29 ≟ 1, Expand[(G29(0) / Y29 * x) + (L29(0) / Y29 * y)], (Y29 * Expand[(G29(0) / Y29 * x) + (L29(0) / Y29 * y)])) → AA29
  1003. If(X29 ≟ 1, Expand[(H29(0) / X29 * x) + (J29(0) / X29 * y)], (X29 * Expand[(H29(0) / X29 * x) + (J29(0) / X29 * y)])) → Z29
  1004. If(Y30 ≟ 1, Expand[(G30(0) / Y30 * x) + (L30(0) / Y30 * y)], (Y30 * Expand[(G30(0) / Y30 * x) + (L30(0) / Y30 * y)])) → AA30
  1005. If(X30 ≟ 1, Expand[(H30(0) / X30 * x) + (J30(0) / X30 * y)], (X30 * Expand[(H30(0) / X30 * x) + (J30(0) / X30 * y)])) → Z30
  1006. If(Y31 ≟ 1, Expand[(G31(0) / Y31 * x) + (L31(0) / Y31 * y)], (Y31 * Expand[(G31(0) / Y31 * x) + (L31(0) / Y31 * y)])) → AA31
  1007. If(X31 ≟ 1, Expand[(H31(0) / X31 * x) + (J31(0) / X31 * y)], (X31 * Expand[(H31(0) / X31 * x) + (J31(0) / X31 * y)])) → Z31
  1008. If(Y32 ≟ 1, Expand[(G32(0) / Y32 * x) + (L32(0) / Y32 * y)], (Y32 * Expand[(G32(0) / Y32 * x) + (L32(0) / Y32 * y)])) → AA32
  1009. If(X32 ≟ 1, Expand[(H32(0) / X32 * x) + (J32(0) / X32 * y)], (X32 * Expand[(H32(0) / X32 * x) + (J32(0) / X32 * y)])) → Z32
  1010. If(Y33 ≟ 1, Expand[(G33(0) / Y33 * x) + (L33(0) / Y33 * y)], (Y33 * Expand[(G33(0) / Y33 * x) + (L33(0) / Y33 * y)])) → AA33
  1011. If(X33 ≟ 1, Expand[(H33(0) / X33 * x) + (J33(0) / X33 * y)], (X33 * Expand[(H33(0) / X33 * x) + (J33(0) / X33 * y)])) → Z33
  1012. If(Y34 ≟ 1, Expand[(G34(0) / Y34 * x) + (L34(0) / Y34 * y)], (Y34 * Expand[(G34(0) / Y34 * x) + (L34(0) / Y34 * y)])) → AA34
  1013. If(X34 ≟ 1, Expand[(H34(0) / X34 * x) + (J34(0) / X34 * y)], (X34 * Expand[(H34(0) / X34 * x) + (J34(0) / X34 * y)])) → Z34
  1014. If(Y35 ≟ 1, Expand[(G35(0) / Y35 * x) + (L35(0) / Y35 * y)], (Y35 * Expand[(G35(0) / Y35 * x) + (L35(0) / Y35 * y)])) → AA35
  1015. If(X35 ≟ 1, Expand[(H35(0) / X35 * x) + (J35(0) / X35 * y)], (X35 * Expand[(H35(0) / X35 * x) + (J35(0) / X35 * y)])) → Z35
  1016. If(Y36 ≟ 1, Expand[(G36(0) / Y36 * x) + (L36(0) / Y36 * y)], (Y36 * Expand[(G36(0) / Y36 * x) + (L36(0) / Y36 * y)])) → AA36
  1017. If(X36 ≟ 1, Expand[(H36(0) / X36 * x) + (J36(0) / X36 * y)], (X36 * Expand[(H36(0) / X36 * x) + (J36(0) / X36 * y)])) → Z36
  1018. If(Y37 ≟ 1, Expand[(G37(0) / Y37 * x) + (L37(0) / Y37 * y)], (Y37 * Expand[(G37(0) / Y37 * x) + (L37(0) / Y37 * y)])) → AA37
  1019. If(X37 ≟ 1, Expand[(H37(0) / X37 * x) + (J37(0) / X37 * y)], (X37 * Expand[(H37(0) / X37 * x) + (J37(0) / X37 * y)])) → Z37
  1020. If(Y38 ≟ 1, Expand[(G38(0) / Y38 * x) + (L38(0) / Y38 * y)], (Y38 * Expand[(G38(0) / Y38 * x) + (L38(0) / Y38 * y)])) → AA38
  1021. If(X38 ≟ 1, Expand[(H38(0) / X38 * x) + (J38(0) / X38 * y)], (X38 * Expand[(H38(0) / X38 * x) + (J38(0) / X38 * y)])) → Z38
  1022. If(Y39 ≟ 1, Expand[(G39(0) / Y39 * x) + (L39(0) / Y39 * y)], (Y39 * Expand[(G39(0) / Y39 * x) + (L39(0) / Y39 * y)])) → AA39
  1023. If(X39 ≟ 1, Expand[(H39(0) / X39 * x) + (J39(0) / X39 * y)], (X39 * Expand[(H39(0) / X39 * x) + (J39(0) / X39 * y)])) → Z39
  1024. If(Y40 ≟ 1, Expand[(G40(0) / Y40 * x) + (L40(0) / Y40 * y)], (Y40 * Expand[(G40(0) / Y40 * x) + (L40(0) / Y40 * y)])) → AA40
  1025. If(X40 ≟ 1, Expand[(H40(0) / X40 * x) + (J40(0) / X40 * y)], (X40 * Expand[(H40(0) / X40 * x) + (J40(0) / X40 * y)])) → Z40
  1026. If(Y41 ≟ 1, Expand[(G41(0) / Y41 * x) + (L41(0) / Y41 * y)], (Y41 * Expand[(G41(0) / Y41 * x) + (L41(0) / Y41 * y)])) → AA41
  1027. If(X41 ≟ 1, Expand[(H41(0) / X41 * x) + (J41(0) / X41 * y)], (X41 * Expand[(H41(0) / X41 * x) + (J41(0) / X41 * y)])) → Z41
  1028. If(Y42 ≟ 1, Expand[(G42(0) / Y42 * x) + (L42(0) / Y42 * y)], (Y42 * Expand[(G42(0) / Y42 * x) + (L42(0) / Y42 * y)])) → AA42
  1029. If(X42 ≟ 1, Expand[(H42(0) / X42 * x) + (J42(0) / X42 * y)], (X42 * Expand[(H42(0) / X42 * x) + (J42(0) / X42 * y)])) → Z42
  1030. If(Y43 ≟ 1, Expand[(G43(0) / Y43 * x) + (L43(0) / Y43 * y)], (Y43 * Expand[(G43(0) / Y43 * x) + (L43(0) / Y43 * y)])) → AA43
  1031. If(X43 ≟ 1, Expand[(H43(0) / X43 * x) + (J43(0) / X43 * y)], (X43 * Expand[(H43(0) / X43 * x) + (J43(0) / X43 * y)])) → Z43
  1032. If(Y44 ≟ 1, Expand[(G44(0) / Y44 * x) + (L44(0) / Y44 * y)], (Y44 * Expand[(G44(0) / Y44 * x) + (L44(0) / Y44 * y)])) → AA44
  1033. If(X44 ≟ 1, Expand[(H44(0) / X44 * x) + (J44(0) / X44 * y)], (X44 * Expand[(H44(0) / X44 * x) + (J44(0) / X44 * y)])) → Z44
  1034. If(Y45 ≟ 1, Expand[(G45(0) / Y45 * x) + (L45(0) / Y45 * y)], (Y45 * Expand[(G45(0) / Y45 * x) + (L45(0) / Y45 * y)])) → AA45
  1035. If(X45 ≟ 1, Expand[(H45(0) / X45 * x) + (J45(0) / X45 * y)], (X45 * Expand[(H45(0) / X45 * x) + (J45(0) / X45 * y)])) → Z45
  1036. If(Y46 ≟ 1, Expand[(G46(0) / Y46 * x) + (L46(0) / Y46 * y)], (Y46 * Expand[(G46(0) / Y46 * x) + (L46(0) / Y46 * y)])) → AA46
  1037. If(X46 ≟ 1, Expand[(H46(0) / X46 * x) + (J46(0) / X46 * y)], (X46 * Expand[(H46(0) / X46 * x) + (J46(0) / X46 * y)])) → Z46
  1038. If(Y47 ≟ 1, Expand[(G47(0) / Y47 * x) + (L47(0) / Y47 * y)], (Y47 * Expand[(G47(0) / Y47 * x) + (L47(0) / Y47 * y)])) → AA47
  1039. If(X47 ≟ 1, Expand[(H47(0) / X47 * x) + (J47(0) / X47 * y)], (X47 * Expand[(H47(0) / X47 * x) + (J47(0) / X47 * y)])) → Z47
  1040. If(Y48 ≟ 1, Expand[(G48(0) / Y48 * x) + (L48(0) / Y48 * y)], (Y48 * Expand[(G48(0) / Y48 * x) + (L48(0) / Y48 * y)])) → AA48
  1041. If(X48 ≟ 1, Expand[(H48(0) / X48 * x) + (J48(0) / X48 * y)], (X48 * Expand[(H48(0) / X48 * x) + (J48(0) / X48 * y)])) → Z48
  1042. If(Y49 ≟ 1, Expand[(G49(0) / Y49 * x) + (L49(0) / Y49 * y)], (Y49 * Expand[(G49(0) / Y49 * x) + (L49(0) / Y49 * y)])) → AA49
  1043. If(X49 ≟ 1, Expand[(H49(0) / X49 * x) + (J49(0) / X49 * y)], (X49 * Expand[(H49(0) / X49 * x) + (J49(0) / X49 * y)])) → Z49
  1044. If(Y50 ≟ 1, Expand[(G50(0) / Y50 * x) + (L50(0) / Y50 * y)], (Y50 * Expand[(G50(0) / Y50 * x) + (L50(0) / Y50 * y)])) → AA50
  1045. If(X50 ≟ 1, Expand[(H50(0) / X50 * x) + (J50(0) / X50 * y)], (X50 * Expand[(H50(0) / X50 * x) + (J50(0) / X50 * y)])) → Z50
  1046. If(Y51 ≟ 1, Expand[(G51(0) / Y51 * x) + (L51(0) / Y51 * y)], (Y51 * Expand[(G51(0) / Y51 * x) + (L51(0) / Y51 * y)])) → AA51
  1047. If(X51 ≟ 1, Expand[(H51(0) / X51 * x) + (J51(0) / X51 * y)], (X51 * Expand[(H51(0) / X51 * x) + (J51(0) / X51 * y)])) → Z51
  1048. If(Y52 ≟ 1, Expand[(G52(0) / Y52 * x) + (L52(0) / Y52 * y)], (Y52 * Expand[(G52(0) / Y52 * x) + (L52(0) / Y52 * y)])) → AA52
  1049. If(X52 ≟ 1, Expand[(H52(0) / X52 * x) + (J52(0) / X52 * y)], (X52 * Expand[(H52(0) / X52 * x) + (J52(0) / X52 * y)])) → Z52
  1050. Textfield(inputanswerx) → InputBox1
  1051. Textfield(inputanswery) → InputBox2
  1052. Element(listxratio, r1) → systemanswerx
  1053. Element(listyratio, r1) → systemanswery
  1054. If(useranswerx ≟ systemanswerx ∧ useranswery ≟ systemanswery, true, false) → answercorrect
  1055. If(useranswerx ≟ systemanswery ∧ useranswery ≟ systemanswerx, true, false) → answerreversed

AI Drawing Prompt Reference

Create an educational diagram for finding the x:y ratio from a linear equation. Center the equation ax+by=cx+dy, showing step-by-step simplification. Below it, display the simplified ratio x/y as a fraction with numerator and denominator clearly labeled. Around it, list several example equations, each expanded and simplified to show its final ratio. Keep the layout clean, emphasizing algebraic steps for middle school self-assessment.
The prompt above was compiled from the original drawing commands and is for reference only.