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/*  6.17.13,  problems read from algfract.mhw */
char *problems61[] = {
"1. (1-1/x^2)/((x-1)/x)",
"2. 2 - x/(3-2/x)",
"3. (1/(x+2)-3)/(4/x-x)",
"4. (3/x - 2/y)/(4/y - 7/(xy))",
"5. (2/x - 3)/(3/y+4)",
"6. (6/x-3)/(1-1/(x-1))",
"7. (x+2/(xy^2))/(1/x+2)",
"8. (1+3/(x+1))/(4/(x^2-1))",
"9. (5 - 2/(n-3))/(4-1/(n-3))",
"10. (y^2/x^2-1)/(y/x-1)",
"11. (x/y-2+y/x)/(x/y-y/x)",
"12. 7/a - 2/b + 3a/b^2",
"13. (1/x-3/2)/(2/(x-2)+5/x)",
"14. (6x/(a+2))/(30x^3/(a+2))",
"15. (1/(3x) -1/(4y))/(5/(6x^2) +1/y)",
"16. (1/k-1/(k-1))/(1/k+1/(k-1))",
"17. 5/(x-2) - (5x-4)/(x^3-2x)",
"18. (3/(x-2)-1/(x+1))/( (x+4)/(x-2))",
"19. (k-1/x^2)/(2-k/x)",
"20. (x+1/x-(a+1/a))/(x-a)",
"21. (1/(ax)-1/(bx))/(1/(by)-1/(ay))",
"22. ((a^3-8)/(a^2-4))/(a/(a^3+8))",
"23. (y-y^2/(y-x))/(1+x^2/(y^2-x^2))",
"24. (x+a-1/(x+a)-(x-1/x))/a",
"25. ((n^2+n-2)/(n-3))/(n+2)",
"26. (x/(x^2-16)-1/(x+4))/(4/(x+4))",
"27. (2/(x-3) - 3/(x+3))/(5/(x^2-9) - 2/(x-3))",
"28. (x/(x+2)-4/(x+2))/(x-3-6/(x+2))",
"29. ((u^3+v^3)/(u^2-v^2))/((u^2-uv+v^2)/(u+v))",
"30. ((1-a)/(x^2+x))/((a^2-1)/(x^2-1))",
"31. 2/(a+b) - 2b(b-a)/(a^3 + b^3)",
"32. ((a-b)/a-(a+b)/b)/((a-b)/b+(a+b)/a)",
"33. (b/(b-a)-a/(b+a))/((b^2+a^2)/(b^2-a^2))",
"34. ((3x+1)/(x-4))/((2x+1)/(x-2)- x/(x-4))",
"35. (2+1/x-3/x^2)/(2+5/x+3/x^2)",
"36. 3/(2x-1) - 1/(1+2x) - (5-4x)/(1-4x^2)",
"37. (1/(x-5)-1/(x+3))/((8x^2+8)/(x^2-2x-15))",
"38. (x/y+y/x+2)/((y+1)/x +(y+1)/y)",
"39. ((x+y)/(x+2y))/((x+y)/(xy))^2",
"40. (a^2-3ab + 9b^2)/(a^3 + 27b^3) - 2/(3b-a)",
"41. (x^2/(1-x^2)+ 2x/(1+x))/(3/(x^2-1))",
"42. ((a^3+b^3)/(4a-4b))/((a^3+a^2ab^2)/(2a^2-2b^2))",
"43. 5/(4x-2y) - 3/(3x+5y) - (x+15y)/(6x^2 + 7xy - 5y^2)",
"44. ((5a^2+12a+4)/(a^4-16))/((25a^2+20a+4)/(a^2-2a))",
"45. ((a^2+2ab+b^2)/(a^2-b^2))/((a^2+3ab+2b^2)/(a^2-3ab+2b^2))",
"46. (a+b)/((a-c)(b-c)) - (b+c)/((a-b)(a-c)) - (a+c)/((a-b)(b-c))",
"47. ((x^3-y^3)/y^3 y/(x-y))/((x^2+xy+y^2)/y^2)",
"48. ((5x-1)/(5x+2))/((25x^2-10x+4)/(125x^3+8))",
"49. ((3x+6)/(x^2+4x))/((x^2+3x-4)/(x^2-4))^(-1)",
"50. (a^2 - (b-c)^2)/((a+c)^2 - b^2) - ((a-c)^2 -b^2)/((a+b)^2 -c^2) - ((a-b)^2-c^2)/((b+c)^2-a^2)",
""};

/*  6.17.13,  problems read from fracteq1.mhw */
char *problems62[] = {
"1. (3+5x)/5 = (4 +x)/7",
"2. (2x +5)/3 +x/4 =1/2",
"3. (x-9)/3 = 3x/2 - 11/6",
"4. x-3 +4/3 =2(x-1)",
"5. (2/3) x = -4",
"6. (-5x)/4 = 17/2",
"7. (9x-5)/7=(2x-4)/4",
"8. n/4 - 5/6 = 5/12",
"9. a/4 -1 = a/3 + 12",
"10. (x+1)/2 -3x=(x+5)/3",
"11. x/6 - 3x/8 = 1",
"12. 2x/3 +(x+1)/2 +(x-1)/4=1",
"13. 3h/4 + 2h/5 = 1",
"14. 2x -(2x-9)/8=(4x-7)4",
"15. (x+2)/2 + (x-1)/5 = 3/2",
"16. (x+5)/3=x/7 + 14x/3",
"17. (x+4)/4 - (x-1)/5 = 7/10",
"18. (x+1)/4 + (x-2)/6 = 3/4",
"19. (x+2)/5 + (x-1)/6 = 3/5",
"20. 5/n + 1/3 = 7/n",
"21. 3/n + 1/6 = 11/(3n)",
"22. (x+1)/4 - (x-2)/6 = 1/4",
"23. (x-9)/3 = 3x/2 -11/6",
"24. (2x-5)/3 - x/4 =1/2",
"25. n + 1/n = 17/4", // nonlinear starts here
"26. 1/n + 1/3 = 5/n",
"27. 2 - 5/(3x-7) = 2x",
"28. x + 1/x =(1-x)",
"29. 1 + 3x/(x-4) = 14/(x+7)",
"30. (x+4)/(2x-10)=8/7",
"31. 3-1/x +6/x^2 =0",
"32. 3/(2x-1) = 4/(3x-2)",
"33. a/(a+5) +1 = 2a/(a+5)",
"34. x/4 = 5/(12x-25)",
"35. n/(n+1) + 1/2 = -2/(n+2)",
"36. x/(4x-4) + 5/(x^2-1) = 1/8",
"37. (x-4)/(x-5)=1/(x-5)",
"38. 1/(x-1) +1/(x+2)=0",
"39. 1/(x-3)+2/(3-x)=1/2",
"40. x/(x+1)=(x+1)/x",
"41. 5/x - 5/6 = 1/(6x)",
"42. (x^2-1)/(3x) - 3x/(x^2-1) + 3/2 = 0",
"43. (x+4)/(x+1) = (x+2)/(x+3)",
"44. (x^2-x)/(x+2) = 11/30 - (x+2)/(x-x^2)",
"45. x/(x-1)-2/(x+1) = 4/3",
"46. (2x-3)/(3x+5)=(x+7)/(3x-4)",
"47. 3/(n-5) + 4/(n+7) = (2n+11)/(n^2 + 2n - 35)",
"48. 1/(x+4) + 3/(x-4)=(3x+8)/(x^2-16)",
"49. 1/(x+1) +1/(x+2)=1/(x+3)",
"50. 3/x +x/(x+4)=10/(x^2+4x)",
"51. (3x+1)/(6x-2)=(2x+5)/(4x-13)",
"52. 3 + 9/(n-3) = 27/(n^2-3n)",
"53. x/(x+3) - 7/(x-6) = 11/(x^2-3x-18)",
"54. 2/x -5/x=6",
"55. 3/(x^3-8)=1/(x-2)",
"56. 1/(3x-1)+1/(3x+1) =0",
"57. 5x/(x-2)-4x/(2x-7)=3",
"58. 2/(3x+2) - (x-1)/(9x^2-4) = 3/(12x-8)",
"59. 1/(2x^2-x-1) + 2/(2x^2+x) = 3/(x^2-1)",
"60. 2/(x-2)=4/(x-3)-1/(x+1)",
"61. 3/(x+1)=9/(x^2-3x-4)",
""};

/*  6.17.13,  problems read from numroots.mhw */
char *problems63[] = {
"1. -sqrt 100",
"2. root(3,64)",
"3. root(4,16)",
"4. sqrt(16/25)",
"5. sqrt(16/36)",
"6. root(3, - 8/27)",
"7. sqrt 8",
"8. sqrt 108",
"9. sqrt 1600",
"10. 3 sqrt 34",
"11. (1/5) sqrt 125",
"12. (3/2) sqrt 27",
"13. sqrt(19/8)",
"14. sqrt(8/27)",
"15. sqrt(3/8)",
"16. sqrt 6 sqrt 12",
"17. sqrt 6 sqrt 16",
"18. sqrt(7)/sqrt(14)",
"19. sqrt(5)/sqrt 45",
"20. sqrt(12)/sqrt 27",
"21. 2 sqrt(48)/sqrt 7",
"22. (-2 sqrt 28)/(12 sqrt 50)",
"23. root(3,120)",
"24. - root(3,72)",
"25. root(3,729)",
"26. root(4, 234256)",
"27. root(5, 7776)",
"28. ( 3 sqrt 3)(6 sqrt 6)",
"29. (-3 sqrt 3)(5 sqrt 5)",
"30. (sqrt 6)(-6 sqrt 8)",
"31. (4 sqrt 10)(6 sqrt 10)",
"32. sqrt 16 - 2 sqrt 2",
"33. 2 sqrt 8 -  sqrt 18",
"34. (sqrt 2)(3 sqrt 14 + sqrt 7)",
"35. - 2 (sqrt 5)(2 sqrt 5 - 4 sqrt 10)",
"36. (sqrt 10)(5 sqrt 2 - 8 sqrt 5)",
"37. 4(sqrt 5)(2 sqrt 60 + 2 sqrt 5)",
"38. 2 (sqrt 2)(3 sqrt 12 - sqrt 18)",
"39. (sqrt 3 + 2)(sqrt 3 +4)",
"40. (sqrt 2 + 6)(sqrt 2 +1)",
"41. (sqrt 5 - 1)(sqrt 5 +1)",
"42. (sqrt 2 - sqrt 3)(sqrt 5 - sqrt 8)",
"43. (sqrt 2 +2 sqrt 6)(3 sqrt 8 - sqrt 6)",
"44. (4 sqrt 6 - 5 sqrt 5)(6 sqrt 6 - sqrt 5)",
"45. (sqrt 8 - 3 sqrt 12)(2 sqrt 8 + 6 sqrt 12)",
"46. (sqrt 6 + 4)(sqrt 6 - 4)",
"47. (3 sqrt 3 + sqrt 11)(8 sqrt 3 - sqrt 11)",
"48. (3 sqrt 8 - 5 sqrt 12)(2 sqrt 8 + 5 sqrt 12)",
"49. 3 root(3,4)(2 root(3,2)-6 root(3,4))",
"50. 8 root(3,3)(4 root(3,9) - 7 root(3,7))",
"51. (4 root(3,3))(2 root(3,9))",
"52. (9 root(3,6))(3 root(3,9))",
"53. sqrt 12 - sqrt 3 - 2 sqrt 48",
"54. (3/5) sqrt 5 - (1/2) sqrt 40",
"55. 4 (sqrt 2)(3 sqrt 12 + 7 sqrt 6)",
"56. (-2 sqrt 10)/9 + (3 sqrt 45)/5 - (5 sqrt 40)/6",
"57. root(3,2) - root(3,16) + root(3,54)",
"58. (sqrt 2 + sqrt 3)(sqrt 2 - sqrt 3)",
"59. (5 sqrt 2 - 4 sqrt 6)(2 sqrt 8 + sqrt 6)",
"60. (7 sqrt 3 - sqrt 7)(2 sqrt 3 + sqrt 7)",
"61. (sqrt 5 - 2)(sqrt 5 + 2)",
"62. root(3,18) - 2 root(3,3) + 3 root(3,27)",
"63. 2 root(3,2) (3 root(3,6) - 4 root(3,5))",
"64. 3 root(3,7)(root(3,9) + 2 root(3,7))",
""};

/*  6.17.13,  problems read from rootalg1.mhw */
char *problems64[] = {
"1. sqrt(5x^3)",
"2. sqrt(16y^2)",
"3. sqrt(10xy^2)",
"4. sqrt(16x^6y^6)",
"5. sqrt(34x^4y^16)",
"6. sqrt(81x^4y^2)",
"7. sqrt(3/(8x^2))",
"8. sqrt(x)/sqrt(7y^5)",
"9. sqrt(a^2b)/sqrt(a^3b^5)",
"10. root(3, 10x^5)",
"11. root(3, 8x^3)",
"12. root(3, 24x^6y^7)",
"13. sqrt(27x-18)",
"14. sqrt(10x) +  sqrt(5x) + sqrt(20x)",
"15. (sqrt 6x)(3 sqrt y - sqrt x)",
"16. (sqrt xy)(sqrt xy - 5 sqrt x)",
"17. (sqrt x^3)(2 sqrt xy - 5sqrt x)",
"18. (sqrt 3y)(sqrt 8x + sqrt(18y^2))",
"19. (3 sqrt 2x - 5 sqrt y)(3 sqrt 2x + 5 sqrt y)",
"20. sqrt (x^2 2y^2)",
"21. sqrt(x^2 - 2xy + y^2)",
"22. (root(3,x) + 1)((root(3,x)+1)^2 - root(3,x))",
"23. 4 root(3, x)(2- root(3, x))",
"24. root(6, 3^4 (x+y)^12)",
"25. (sqrt x -2)^2 + (sqrt(x-2))^2",
"26. root(3, (x^2-1)) root(3, (x^2-1)^2)",
"27. root(3, x^7 y) - 2x root(3, -x^4y) + x^2 root(3, 8xy)",
"28. sqrt (x sqrt( x sqrt  x))",
"29. ( sqrt x - 2)(sqrt x- 5) - ( sqrt x +4)",
"30. (root(6, x^5) + 3 root(6, y^3))^2",
"31. sqrt(x) (3 sqrt (x^3) - sqrt x^5)",
"32. sqrt(5x^2y) sqrt(2x^4y^5)",
"33. 2 root(4, x^3) (7 root(4, x) - x)",
"34. root(4, x^5 y) root(8, x^6 y^8)",
"35. ((sqrt x) -(sqrt y))^2 + 3((sqrt x)^2 + 2(sqrt x) (sqrt y)  + (sqrt y)^2)",
"36. (sqrt x-1)( sqrt x-2)+( sqrt x-3)( sqrt x-4)",
"37. 2 root(3, x)^3 - (root(3, x)^2 + (root(3, x)^2+1))",
"38. (root(4, x))^2 - ((root(4, x))^2 -2(sqrt x)-( (root(4, x))^2+(sqrt x)))",
"39. (root(4, x))^2 (root(4, x))^2 + (root(4, x))^4 (root(4, x))^4",
"40. (root(4, x))^2(sqrt y)  - (root(4, x)) ((root(4, x))(sqrt y) -(sqrt y))",
"41. sqrt (1/x^2 - 1/y^2)",
"42. (sqrt x - sqrt y) (sqrt x + sqrt y)",
"43. sqrt(x^2x^2 - x^4)/x",
"44. sqrt(x^2-y^2)/sqrt(x-y)",
"45. sqrt(x+1)/sqrt(x^2+2x+1)",
"46. root (5, y^10x^5) / root (3, y^2 x^3)",
"47. (10 sqrt x) / (3x - 2 sqrt x)",
""};

/*  6.17.13,  problems read from lineq2.mhw */
char *problems65[] = {
"1. -3x+4 = 6",
"2. 5x-1 = -10",
"3. 5x/6 +x=10",
"4. -x+6 = 18",
"5. 2(x+1)=11",
"6. 4x-8 = 21",
"7. (x+3)/4 - (x-4)/2=3/8",
"8. 3x-14 = 15",
"9. 1-12x =7(1-2x)",
"10. -4x = 2x-6",
"11. (2x-3)/9 -(x+5)/6 =(3-x)/2 +1",
"12. 6x-4 = x",
"13. 5x/ 2 -5=3x-7",
"14. 4x-3 = 2x+7",
"15. 2x/3 +(x-3)/2=(x+1)/4",
"16. 5x-2 = 2x-11",
"17. 3(2x-(x-2))= -3(3-2x)",
"18. 3x-4 = -5x-2",
"19. 2x -(2x+9)/8 = (4+7x)/4",
"20. -7x + 6 = -8x + 14",
"21. -3x/5 -6=-2x/3 +7",
"22. 5x+3-2x = x-13",
"23. 4x-3+x = 5x+9",
"24. 3x +5 +x=2(x-1)",
"25. 4x-3 + 2x = 8x-3-x",
"26. 3/7 -(x-5)/14=11x/14",
"27. x-4-4x = 6x - 8x",
"28. 3x/24-(2-x)/10=(5+x)/10 -1/15",
"29. 4(2x+1) = 3(3x-7)",
"30. 5x +3/4=x/2 -3",
"31. 2(3x-5) = -3(4x+3)",
"32. 6(2x+3)-3(x-5)=0",
"33. 2(2x-1) = 3(2x+9)",
"34. 2(5x-11) -3(7-3x)=0",
"35. 3(x-4)+7(x+2) = x-18",
"36. 2x-x/2=3(x-1)",
"37. 4(x+2) - 3(x+1) = 2(x-6)",
"38. (5x+3x-2x)/2 =3(x+1)/2",
"39. (3/4) x = 12",
"40. 5(2x-3)=12x-(x+8)",
"41. (-2x)/3 = 2/7",
"42. (x+2)/3 + (x-3)/4 = 11/5",
"43. (x+4)/4 - (x-1)/5 = 37/10",
"44. (x-2)/2 - (x+1)/5 = 3/5",
"45. 2(3x-7) + 4x = 12",
"46. 4x - 1 -2x = 8x - 3 + x",
"47. (5x)/2 - 5 = 3x - 15",
"48. 3(2x-(x-2)) = -6(3-2x)",
"49. 1 - 12x = 7(1+2x)",
"50. -5(x-1) = 10",
""};

/*  6.17.13,  problems read from substeq.mhw */
char *problems66[] = {
"1. x + y = 4, x - y = 1",
"2. 2x + y = 6, 3x + 4y = 4",
"3. 3x + y = 5, 3x + y = -2",
"4. 2x - 3y = 13, x + 4y = 8",
"5. 2x + 3y = -1, 5x - 3y = 29",
"6. 5x + 7y = 1, 4x - 2y = 16",
"7. 5x + 3y = -7, 7x - 3y = 55",
"8. 3x - 2y = 5, 2x + 5y = -3",
"9. 7x - 2y = 4, 7x - 2y = 9",
"10. 5x + 4y = 1, 3x - 2y = -1",
"11. 3x - y = 9, 5x + 7y = 1",
"12. 5x + 3y = 4, x - 4y = 3",
"13. 3x - y = 9, 5x + 7y = 1",
"14. 3y - x = -2, x - 3y = 2",
"15. y - 2x = 1, 2x - y = 3",
"16. x + 3y = -2, x - 3y = 2",
"17. 3x - 2y = -11, x - 2y = -9",
"18. 7x - 3y = 3, x - 2y =2",
"19. 5x + 3y = 8, 3x + y = 8",
"20. 3x + 5y = 0, x - 4y = 0",
"21. x + y =1, y + z = 1, x + z = 1",
"22. x - y = 5,y - z = -6, 2x - z = 2",
"23. x+4y-2z=10, 3x+2y+z=4, 2x-3y+2z=-7",
"24. 4x+y+z=3, x-2y=1, 9y-z=1",
"25. x+y+z=0, x-y-z=-2, x+2y-3z=1",
"26. x-2y+3z=1, 3x-5y-2z=4, 2x-4y+6z=7",
"27. 4x-y+z=5, 3x+y+2z=4, x-2y-z=1",
"28. 2x-y+3z=1, 4x+7y-z=7, x+4y-2z=3",
"29. x+y+z=1, 2x-3y+6z=1, -x+y+z=0",
"30. x-2y+z=-4, 2x+4y-3z=-1, -3x-6y+7z=4",
"31. 3x+y=5, 3y-z=2, x+z=5",
"32. 2x+3z=5, 2y+2z=3, 3x+4y=-10",
"33. 2x-y+3z=0, 3x+2y-4z=0, 5x+3y+2z=0",
"34. x+y=4, x-y=2",
"35. x-y=3, x+y=5",
"36. y-x=5, 2x-2y=10",
"37. 4x-y=4, x-3y=16",
"38. 4y-x=8, 3x-2y=6",
"39. x+y=-1, 4x-3y=24",
"40. x+2y=4, 3x+y=-1",
"41. 2x+3y=6, 4x+6y=-12",
"42. x+y=2, x-y=4",
"43. x+y=1, 3x-y=-5",
"44. 3x-4y=12, 5x+4y=-12",
"45. 2x-y+z=6, 3x+2y+z=4, x-2y+3z=12",
"46. 3x+y-2z=2, x+2y+3z=13, 2x-2y+5z=6",
"47. 5x+3y-z=5, 3x-2y+4z=13, 4x+3y+5z=22",
"48. 3x-2y+z=2, 2x+3y+2z=-6, 3x-y+z=0",
"49. x+2y+3z=8, 2x-3y+z=5, 3x-4y+2z=9",
"50. x-3y+2z=1, 2x+y-2z=3, 3x+9y+6z=-3",
""};

/*  6.17.13,  problems read from elimeq.mhw */
char *problems67[] = {
"1. x - 3y = 5, x + 5y = -4",
"2. x + y = 1, 2x - y = 5",
"3. 3x + y = 7, x + 2y = 4",
"4. 3x - 5y = 7, x - 2y = 3",
"5. 3x - 2y = 5, 2x + 5y = -3",
"6. 2x - 7y = -2, 3x + y = 1",
"7. 7x - 2y = 4, 7x - 2y = 9",
"8. x - 4y = 29, 3x + 2y = -11",
"9. x + 3y = 7, -x + 4y = 7",
"10. x + y = 9, 2x - y = -3",
"11. 3x + 2y = 3, 9x - 8y = -2",
"12. 5x - 3y = 24, 3x + 5y = 28",
"13. 2x + y = 6, x - y = 3",
"14. 4x -8y = 5, 8x +2y = 1",
"15. (3/4)x +(1/3)y = -(1/2), (1/2)x -(5/6)y = -(7/2)",
"16. 3x + 4y = 25, 2x + y = 10",
"17. 3x + 6y = 16, 2x + 4y = 5",
"18. 3x + y = 4, x + y = 2",
"19. x+y=6, x-y=3",
"20. x-y=1, 2x+y=6",
"21. 3x+y=0, x-2y=-7",
"22. x+y=23, y-x=-5",
"23. 7x-2y=1, 4x+5y=2",
"24. y-5x=-1, x+y=5",
"25. y-3x=2, y-2x=3",
"26. 1/2x - 1/3y = 2, 3/4x+2/5y = - 1",
"27. x/5 +y/3 = 2, x/4 +y/3 = 2",
"28. 2/3x+8y = 6/7, 3/4x+9y =3",
"29. (sqrt 3)x - (sqrt 2)y = 2 sqrt 3, (2 sqrt 2)x+(sqrt 3)y = sqrt 2",
"30. (x - y)/4+(x+y)/3 = 1, (x+2y)/3+(3x - y)/2 = - 2",
"31. (x+y)/4 - (x - y)/3 = 1, (x+y)/4+(x - y)/2 = 9",
"32. (x+3)/2+(y - 4)/3 = 10/6, (x - 2)/3+(x - 2)/2 = 2",
"33. x+2y-z=1, 2x-y+z=6, x+3y-z=2",
"34. 3x+y=5, 3y-z=2, x+z=5",
"35. 3x+4z=5, 2y+3z=2, 2x-5y=8",
"36. 3x-y-2z=11, 2x+y-2z=11, x+3y-z=8",
"37. 2x-3y+7z=0, x+4y-4z=-2, 3x+2y+5z=1",
"38. x+y+z=6, 2x-y+3z=9, -x+2y+2z=9",
"39. 4x+9y=8, 8x+6z=-1, 6y+6z=-1",
"40. x+y+z=0, 2x+3y+2z=-3, -x+2y-3z=-1",
"41. 4x-y-z=4, 2x+y+z=-1, 6x-3y-2z=3",
"42. x-y+z=4, 5x+2y-3z=2, 4x+3y-4z=-2",
"43. 3x+2z=11, y-7z=4, x-6y=1",
"44. x+2y-3z=2, 3y-z=13, 3y+5z=25",
"45. x-y+2z=4, 2x-2y+4z=7, 3x-3y+6z=1",
"46. 2x-y+3z=0, 3x+2y-4z=0, 5x-3y+2z=0",
"47. 2x-y+3z=9, x+4y+4z=5, 3x+2y+2z=5",
"48. x+2y+3z=8, 2x-3y+z=5, 3x-4y+2z=9",
"49. 3x-2y+z=2, 2x+3y+2z=-6, 3x-y+z=0",
"50. 3x-y+z=11, x+4y-2z=-12, 2x+2y-z=-3",
"51. x-3y+2z=1, 2x+y-2z=3, 3x+9y+6z=-3",
"52. 5x-4y+2z=4, 3x-5y+3z=-4, 3x+y-5z=12",
"53. 2x+3y+3z=-2, x+2y-3z=9, 3x-2y-4z=1",
"54. 2x-y+z=6, 3x+2y+z=4, x-2y+3z=12",
"55. 5x+3y-z=5, 3x-2y+4z=13, 4x+3y+5z=22",
""};

/*  6.17.13,  problems read from elimeq.mhw */
char *problems68[] = {
"1. x - 3y = 5, x + 5y = -4",
"2. x + y = 1, 2x - y = 5",
"3. 3x + y = 7, x + 2y = 4",
"4. 3x - 5y = 7, x - 2y = 3",
"5. 3x - 2y = 5, 2x + 5y = -3",
"6. 2x - 7y = -2, 3x + y = 1",
"7. 7x - 2y = 4, 7x - 2y = 9",
"8. x - 4y = 29, 3x + 2y = -11",
"9. x + 3y = 7, -x + 4y = 7",
"10. x + y = 9, 2x - y = -3",
"11. 3x + 2y = 3, 9x - 8y = -2",
"12. 5x - 3y = 24, 3x + 5y = 28",
"13. 2x + y = 6, x - y = 3",
"14. 4x -8y = 5, 8x +2y = 1",
"15. (3/4)x +(1/3)y = -(1/2), (1/2)x -(5/6)y = -(7/2)",
"16. 3x + 4y = 25, 2x + y = 10",
"17. 3x + 6y = 16, 2x + 4y = 5",
"18. 3x + y = 4, x + y = 2",
"19. x+y=6, x-y=3",
"20. x-y=1, 2x+y=6",
"21. 3x+y=0, x-2y=-7",
"22. x+y=23, y-x=-5",
"23. 7x-2y=1, 4x+5y=2",
"24. y-5x=-1, x+y=5",
"25. y-3x=2, y-2x=3",
"26. 1/2x - 1/3y = 2, 3/4x+2/5y = - 1",
"27. x/5 +y/3 = 2, x/4 +y/3 = 2",
"28. 2/3x+8y = 6/7, 3/4x+9y =3",
"29. (sqrt 3)x - (sqrt 2)y = 2 sqrt 3, (2 sqrt 2)x+(sqrt 3)y = sqrt 2",
"30. (x - y)/4+(x+y)/3 = 1, (x+2y)/3+(3x - y)/2 = - 2",
"31. (x+y)/4 - (x - y)/3 = 1, (x+y)/4+(x - y)/2 = 9",
"32. (x+3)/2+(y - 4)/3 = 10/6, (x - 2)/3+(x - 2)/2 = 2",
"33. x+2y-z=1, 2x-y+z=6, x+3y-z=2",
"34. 3x+y=5, 3y-z=2, x+z=5",
"35. 3x+4z=5, 2y+3z=2, 2x-5y=8",
"36. 3x-y-2z=11, 2x+y-2z=11, x+3y-z=8",
"37. 2x-3y+7z=0, x+4y-4z=-2, 3x+2y+5z=1",
"38. x+y+z=6, 2x-y+3z=9, -x+2y+2z=9",
"39. 4x+9y=8, 8x+6z=-1, 6y+6z=-1",
"40. x+y+z=0, 2x+3y+2z=-3, -x+2y-3z=-1",
"41. 4x-y-z=4, 2x+y+z=-1, 6x-3y-2z=3",
"42. x-y+z=4, 5x+2y-3z=2, 4x+3y-4z=-2",
"43. 3x+2z=11, y-7z=4, x-6y=1",
"44. x+2y-3z=2, 3y-z=13, 3y+5z=25",
"45. x-y+2z=4, 2x-2y+4z=7, 3x-3y+6z=1",
"46. 2x-y+3z=0, 3x+2y-4z=0, 5x-3y+2z=0",
"47. 2x-y+3z=9, x+4y+4z=5, 3x+2y+2z=5",
"48. x+2y+3z=8, 2x-3y+z=5, 3x-4y+2z=9",
"49. 3x-2y+z=2, 2x+3y+2z=-6, 3x-y+z=0",
"50. 3x-y+z=11, x+4y-2z=-12, 2x+2y-z=-3",
"51. x-3y+2z=1, 2x+y-2z=3, 3x+9y+6z=-3",
"52. 5x-4y+2z=4, 3x-5y+3z=-4, 3x+y-5z=12",
"53. 2x+3y+3z=-2, x+2y-3z=9, 3x-2y-4z=1",
"54. 2x-y+z=6, 3x+2y+z=4, x-2y+3z=12",
"55. 5x+3y-z=5, 3x-2y+4z=13, 4x+3y+5z=22",
""};

/*  6.17.13,  problems read from elimeq.mhw */
char *problems69[] = {
"1. x - 3y = 5, x + 5y = -4",
"2. x + y = 1, 2x - y = 5",
"3. 3x + y = 7, x + 2y = 4",
"4. 3x - 5y = 7, x - 2y = 3",
"5. 3x - 2y = 5, 2x + 5y = -3",
"6. 2x - 7y = -2, 3x + y = 1",
"7. 7x - 2y = 4, 7x - 2y = 9",
"8. x - 4y = 29, 3x + 2y = -11",
"9. x + 3y = 7, -x + 4y = 7",
"10. x + y = 9, 2x - y = -3",
"11. 3x + 2y = 3, 9x - 8y = -2",
"12. 5x - 3y = 24, 3x + 5y = 28",
"13. 2x + y = 6, x - y = 3",
"14. 4x -8y = 5, 8x +2y = 1",
"15. (3/4)x +(1/3)y = -(1/2), (1/2)x -(5/6)y = -(7/2)",
"16. 3x + 4y = 25, 2x + y = 10",
"17. 3x + 6y = 16, 2x + 4y = 5",
"18. 3x + y = 4, x + y = 2",
"19. x+y=6, x-y=3",
"20. x-y=1, 2x+y=6",
"21. 3x+y=0, x-2y=-7",
"22. x+y=23, y-x=-5",
"23. 7x-2y=1, 4x+5y=2",
"24. y-5x=-1, x+y=5",
"25. y-3x=2, y-2x=3",
"26. 1/2x - 1/3y = 2, 3/4x+2/5y = - 1",
"27. x/5 +y/3 = 2, x/4 +y/3 = 2",
"28. 2/3x+8y = 6/7, 3/4x+9y =3",
"29. (sqrt 3)x - (sqrt 2)y = 2 sqrt 3, (2 sqrt 2)x+(sqrt 3)y = sqrt 2",
"30. (x - y)/4+(x+y)/3 = 1, (x+2y)/3+(3x - y)/2 = - 2",
"31. (x+y)/4 - (x - y)/3 = 1, (x+y)/4+(x - y)/2 = 9",
"32. (x+3)/2+(y - 4)/3 = 10/6, (x - 2)/3+(x - 2)/2 = 2",
"33. x+2y-z=1, 2x-y+z=6, x+3y-z=2",
"34. 3x+y=5, 3y-z=2, x+z=5",
"35. 3x+4z=5, 2y+3z=2, 2x-5y=8",
"36. 3x-y-2z=11, 2x+y-2z=11, x+3y-z=8",
"37. 2x-3y+7z=0, x+4y-4z=-2, 3x+2y+5z=1",
"38. x+y+z=6, 2x-y+3z=9, -x+2y+2z=9",
"39. 4x+9y=8, 8x+6z=-1, 6y+6z=-1",
"40. x+y+z=0, 2x+3y+2z=-3, -x+2y-3z=-1",
"41. 4x-y-z=4, 2x+y+z=-1, 6x-3y-2z=3",
"42. x-y+z=4, 5x+2y-3z=2, 4x+3y-4z=-2",
"43. 3x+2z=11, y-7z=4, x-6y=1",
"44. x+2y-3z=2, 3y-z=13, 3y+5z=25",
"45. x-y+2z=4, 2x-2y+4z=7, 3x-3y+6z=1",
"46. 2x-y+3z=0, 3x+2y-4z=0, 5x-3y+2z=0",
"47. 2x-y+3z=9, x+4y+4z=5, 3x+2y+2z=5",
"48. x+2y+3z=8, 2x-3y+z=5, 3x-4y+2z=9",
"49. 3x-2y+z=2, 2x+3y+2z=-6, 3x-y+z=0",
"50. 3x-y+z=11, x+4y-2z=-12, 2x+2y-z=-3",
"51. x-3y+2z=1, 2x+y-2z=3, 3x+9y+6z=-3",
"52. 5x-4y+2z=4, 3x-5y+3z=-4, 3x+y-5z=12",
"53. 2x+3y+3z=-2, x+2y-3z=9, 3x-2y-4z=1",
"54. 2x-y+z=6, 3x+2y+z=4, x-2y+3z=12",
"55. 5x+3y-z=5, 3x-2y+4z=13, 4x+3y+5z=22",
""};

/*  6.17.13,  problems read from matinv.mhw */
char *problems70[] = {
"1. 3x+5y=1, 4x+7y=-2",
"2. -x-y=7, 4x+2y=-3",
"3. 3x-2y =1, 5x+y = 6",
"4. x-y=10, 2x-y=6",
"5. 6x+y=1, -4x+2y=7",
"6. 2x+3y=0, 3x-6y=1",
"7. x+y=1, 4x+5y=6",
"8. x+y=0, x-2y= -17",
"9. x+y=3, y-x=5",
"10. -7x+4y=10, 8x-5y=0",
"11. 2x+7y = 3, x-14y = -1",
"12. 4x+2y=5, 3x+y=-5",
"13. x + 2y = 6, 2x + 5y = 13",
"14. 3x + 7y = 4, 2x + 5y = 3",
"15. 6x + 7y = -1, -4x - 5y = 1",
"16. 7x-y=1, 4x+5y=-2",
"17. y-5x=1, 7x+y=5",
"18. y-3x=0, 2y+2x=8",
"19. 13x - 5y = 2, x + 23 y = 12",
"20. x-y+z=1, x+y-z=0, -x+3y+4z=-1",
"21. x+y+z=0, x-y-z= -2, x+2y-3z = 1",
"22. x+y+2z=0, y+3z= -2, 3x-2z = -3",
"23. x + 2y -z =2, -3x-4y-4z=-37, -2x+3y+2z=10",
"24. x+2y+3z=4, 3x-2y+z=5, 2x+3y-z=7",
"25. 3x+2y+2z=12, 4x+3y+3z=17, 5x+2y+3z=17",
"26. x-y=5, y-z=-6, 2x-z=2",
"27. x+y = 1, y+z = 1, x+z=1",
"28. x-y+z=0, x+z=1, y+2z=-2",
"29. 3x+4y-z = 2, x-y+4z = 0, 6y-9z = -2",
"30. x+3y+2z=5, 2x+7y+6z=11, 2x+6y+5z=10",
"31. 3x+4y-5z=-1, -4x-5y-6z=4, 7x+5z=3",
"32. x+y+z=1, x-y+2z=5, 5y+z=0",
"33. 4x+y+z=3, x-2y = 1, 9y-z = 1",
"34. 5x+7y+4z=-1, 3x-y+3z=1, 6x+7y+5z=-1",
"35. 2x+z=6, 2y+z=4, x-2y+3z=2",
"36. x+2z=2, -y+z=7, x+3y=-6",
"37. x+2y=2, -3x+z=1, 4x-y=-5",
"38. x+2z=4, 3x+y=10, 2x-3z=-2",
"39. x+3y-z=5, x-2y+4z=1, 4x+y+5z=11",
"40. 2x+y-z=3, 3x-2y+5z=1, 5x+3y-4z=-2",
"41. 5x-2y-z = 0, 7x+4y+2z = 0, 6z+6y-2z=5",
"42. 2x-y+z=1, x+3y-z=2, 3x-2y+2z=-3",
"43. x+y+w=6, -y-z=-5, -x-y+z-w=-3, -x+z=0",
"44. x+y+z+w=-1, y+z+w=-5, z+w=-3, x+y+z=0",
"45. x+y+z=0, -x+y+w=1, 3x-y=2, 5y+2z=4",
"46. x+2y+3w= -1, y+z+w=1, y+w=2, x+2y+2w=0",
"47. x+z+w= -4, -x+y+w=1, x+2z-w=-2, x+y-z+w=10",
"48. x+y+z+w= -1, -x+4y+z-w=1, x-2y+z-2w=12, -x-2y+z+2w=2",
""};

/*  6.17.13,  problems read from cramer.mhw */
char *problems71[] = {
"1. 3x-2y =1, 5x+y = 6",
"2. 2x+7y = 3, x-14y = -1",
"3. 3x + 7y = 4, 2x + 5y = 3",
"4. 13x - 5y = 2, x + 23 y = 12",
"5. 3x-4y=6, 5x+9y=10",
"6. 5x+8y=1, 3x+7y=5",
"7. -2x+4y=3, 3x-7y=1",
"8. 5x-4y=-3, 7x+2y=6",
"9. 4x+2y=11, 3x-y=2",
"10. x+4y=8, 3x+5y=3",
"11. x+4y=5, -3x+2y=13",
"12. 4x+y=9, 3x-4y=2",
"13. 3x+4y=14, 2x+y=1",
"14. x+3y=5, 2x+3y=4",
"15. x-4y=2, 2x-5y=1",
"16. x-y=5, x+y=7",
"17. 8x-3y=21, 4x+5y=3",
"18. 3x-5y=7, x-2y=3",
"19. 3x+4y=25, 2x+y=10",
"20. x-2y=7, 3x-2y=9",
"21. x+y=6, x-y=3",
"22. x-y=1, 2x+y=6",
"23. x+y=20, x-y=-4",
"24. 3x+2y=1, 5x-2y=20",
"25. 3x+y=0, x-2y=-7",
"26. x+y=23, y-x=-5",
"27. x-3y=-25, 4x+5y=19",
"28. 5x+2y=-9, 4x-3y=2",
"29. 3x-y=30, 5x-y=46",
"30. 6x-3y=4, 5x+2y=-1",
"31. 7x-2y=1, 4x+5y=2",
"32. 2x-y=9, 7x+4y=1",
"33. y-3x=2, y-2x=3",
"34. x-2y=1, x-3y=-1",
"35. y-5x=-1, x+y=5",
"36. 3x-4y=6, x-3y=2",
"37. 3x+y=5, 2x+3y=8",
"38. x-4y=2, 2x-5y=1",
"39. x+y=4, x-y=2",
"40. x-y=3, x+y=5",
"41. 2x-y+3z=9, x+4y+4z=5, 3x+2y+2z=5",
"42. x+2y+3z=8, 2x-3y+z=5, 3x-4y+2z=9",
"43. 3x-2y+z=2, 2x+3y+2z=-6, 3x-y+z=0",
"44. 3x-y+z=11, x+4y-2z=-12, 2x+2y-z=-3",
"45. x-3y+2z=1, 2x+y-2z=3, 3x+9y+6z=-3",
"46. 5x-4y+2z=4, 3x-5y+3z=-4, 3x+y-5z=12",
"47. 2x+3y+3z=-2, x+2y-3z=9, 3x-2y-4z=1",
"48. 2x-y+z=6, 3x+2y+z=4, x-2y+3z=12",
"49. 3x+y-2z=2, x+2y+3z=13, 2x-2y+5z=6",
"50. 5x+3y-z=5, 3x-2y+4z=13, 4x+3y+5z=22",
""};

/*  6.17.13,  problems read from simplify.mhw */
char *problems72[] = {
"1. x^2x^2 + x^4",
"2. (x^2x^2 + x^4)x^4 + x^8",
"3. 2a^2 - (a-3)(2a+1)",
"4. 5a^3 - (2a^3 - 5(a^3-7))",
"5. 4x^2y - x(xy-y(2y-x))",
"6. 2a - 3a(1-(b+c)/(b-c))",
"7. [(2x - 4)/(3x + 6)][3x/(x-2)]",
"8. (a - 1/a)(1-1/(a+1))",
"9. (x-1/x)/(x-1)",
"10. (1-y^2/x^2)/(y/x + 1)",
"11. (a-4/a)/(a+4/a + 4)",
"12. [4x^2/(x^2 + 3x)][(x^2 - 9)/(2x - 2)]",
"13. [(x^2 + x)/(x^2 + 2x + 1)][(x^2 - x -2)/(x^2 -1)]",
"14. [2/(x-2) + 3]/ [(-1)/(x^3 -8)]",
"15. (x + 1/x + 2)(4x^2 + x/(x-1))",
"16. (a-b)/(a^2-b^2) - a(a-b)/(a^3+b^3)",
"17. 4x^2/(2x-3) - 5x^3/(4x^2 - 12x + 9) - x/2",
"18. ((a-3b)/(3a-b) -1)(5 - (2a+6b)/(a+b))",
"19. 4x^2 - 6xy + 9y^2 - (5x^3 + 12y^3)/(2x+3y)",
"20. 5/(4x-2y) - 3/(3x+5y) - (x+15y)/(6x^2 + 7xy - 5y^2)",
"21. (a+b)/((a-c)(b-c)) - (b+c)/((a-b)(a-c)) - (a+c)/((a-b)(b-c))",
"22. (a^2 - (b-c)^2)/((a+c)^2 - b^2) - ((a-c)^2 -b^2)/((a+b)^2 -c^2) - ((a-b)^2-c^2)/((b+c)^2-a^2)",
"23. (a/b - 9b/a)/((a+3b)^2/(3ab) - 4)",
"24. 4x/(2-3/x) - 5x^2/(4x + 9/x -12)",
"25. (1/(x+h) - 1/x)/h",
"26. (2/(x+h-1) - 2/(x-1))/h",
"27. (3(x+h)/(2(x+h)-5) - 3x/(2x-5))/h",
"28. [(x-1)/(x+1) - (x+1)/(x-1)]/ [(x-1)/(x+1) + (x+1)/(x-1)]",
"29. (bx - (a+bx)/x^2)/((a+bx)/x)",
"30. ((a-x -(a+x)^(-1))/(a-x)^2)/((a+x)/(a-x))",
"31. 3b/2(2a-3bx)(a+bx)^(1/2) - 3b(a+bx)^(3/2)",
"32. b/2(2a-bx)(a+bx)^(-1/2) - b(a+bx)^(1/2)",
"33. [(1-3x)(x+1)(2x-3x^2)^(-1/2) - (2x -3x^2)^(1/2)]/ (x+1)^2",
"34. 1/(sqrt(xy) -y) - 1/(sqrt(xy) + y)",
"35. [sqrt(y+3) + sqrt y]/ [sqrt(y+3) - sqrt y]",
"36. (sqrt(a^2-x^2) + x^2/sqrt(a^2-x^2))/(a^2-x^2)",
"37. (1 + x/sqrt(x^2 + a^2))/(x + sqrt(x^2 + a^2))",
"38. (sqrt(x^2-a^2) - x^2/sqrt(x^2-a^2))/(x^2-a^2)",
"39. sqrt(a^2-x^2) - x^2/sqrt(a^2-x^2) + a/sqrt(1-x^2/a^2)",
"40. ( x^2/sqrt(a^2+x^2) - (a + sqrt(a^2+x^2)))/(x^2(a + sqrt(a^2+x^2)))",
"41. (b/(2a sqrt a)) sqrt(a/(bx-a)) (1/(a + (bx-a)/a))(1/(1+(bx-a)/a))",
"42. (sqrt(a^2-x^2) + x^2/sqrt(a^2-x^2))/(a^2-x^2) - (1/a)/sqrt(1-x^2/a^2)",
"43. ax/(a + sqrt(a^2-x^2)) (x^2/sqrt(a^2-x^2) + a + sqrt(a^2-x^2))/x^2 - x/sqrt(a^2-x^2)",
"44. a^2(sqrt(a^2-x^2) - x^2/sqrt(a^2-x^2) + a/sqrt(1-x^2/a^2)) + 6x^2 sqrt(a^2-x^2) - 2(a^2-x^2)^(3/2)",
"45. a/sqrt(1-x^2/a^2) + x^2/sqrt(a^2-x^2) - sqrt(a^2-x^2)",
"46. (x^2/sqrt(x^2+a^2) - sqrt(x^2+a^2))/(x^2+a^2) + (1 + x/sqrt(x^2+a^2))/(x + sqrt(x^2+a^2))",
"47. x^2/(sqrt(x^2+a^2)) + sqrt(x^2+a^2) + a^2((1+x/(sqrt(x^2+a^2)))/(x + sqrt(x^2+a^2)))",
"48. (x-a)(a-x)/sqrt(2ax-x^2) + sqrt(2ax-x^2) + a/sqrt(1-(x-a)^2/a^2)",
"49. [(x^2+4x+3)/(x^2+8x+7)]/[(x^2-7x-8)/(35+12x+x^2)][(x^2-9x+8)/(x^2+8x+15)]",
"50. ((((2x(a+bx^2)-2bx^3)/(a+bx^2)^2)/(x^2/(a+bx^2))))/(x^2/(a+bx^2))",
""};

/*  6.17.13,  problems read from comdenom.mhw */
char *problems73[] = {
"1. 1/x + 1/(x+1)",
"2. 1/x - 1/(x+1)",
"3. 1/x + x",
"4. 1/x - 4",
"5. (x+1) /2 - (x+5) /3",
"6. (x-2)/3 + (x+6)/5",
"7. (a-4)/5 + (4a-1)/8",
"8. (2n+1)/9 - (n+3)/8",
"9. (4x+3)/6 - (x-2)/12",
"10. (x+1)/4 - (x-3)/7 - (x-2)/8",
"11. (5x - 6) /(x - 5) - 2",
"12. 2 - (x - 5) / (2x+3)",
"13. (3x) / (2 - x) + 6/ (x -2)",
"14. 15 / (x^2 -9) - (5x) / (x^2 - 9)",
"15. 2 / (3x - 1) - 6 / (3x - 1)^2",
"16. 5/(4x-3) - 2",
"17. 7x/(x+4) -7",
"18. 2 + 2x/(3x-1)",
"19. 5/(6x) - 3/(50x^2)",
"20. 1/(12x) - 1/(8y)",
"21. 7/(3x) + 8/(7y) -10",
"22. 7/(3a^2) - 5/(4a)",
"23. 3/(8n^2) - 2/(5n)",
"24. 1/n^2 - 3/(4n) - 1/6",
"25. 7/(3x^2) - 9/(2x) + 5/x",
"26. 1/(7t^3) - 3/(2t^2) - 1/(7t^3) + 1/t",
"27. 1/4 - 1/x^2",
"28. 1/x +1/y",
"29. 1/(xy) - 1/(yz)",
"30. 5/x - (2x - 1) / x^2",
"31. 7/(5x) +2/x - 1/(2x)",
"32. 3/x +4/x^2 - (9x - 1) / x^3",
"33. 3/x - 6/(2x+1)",
"34. (x+1) / y + (y+1) /x",
"35. 4x / (3x - 4) - 8 / (3x^2 - 4x)",
"36. 5 / (x^2 - 1) - (3 - x) / (1 - x^2)",
"37. 4x / (3x - 4) - 8 / (3x - 4)^2 +6/x",
"38. 9/(7x^2y) - 4x/(8y^2)",
"39. 7/(8a^2b) - 3a/(10b^2)",
"40. 3x/(x-4) + 2/x - 1",
"41. (a-1)/a - 2/(a+1)+3",
"42. (-2)/(n-6)- 3/(2n-3)",
"43. 1/(4x+3) + 3/(2x-5) +2",
"44. 3/(x-1) - 5/(2x-3)",
"45. 3/(2x+1) + 1/(3x+4) - 3",
"46. 1 / (x - 1) + 1 / (x+2)",
"47. 2 / (x+1) - 1 / (x - 2)",
"48. 6 / (x-2) - 3x / (x+2)",
"49. (x - 3) / (x - 1) + 2x / (9 - x^2)",
"50. 5 / (x+1) + 2x / (x+3)",
"51. 6x / (x+5) - 2x / (x - 3)",
"52. 1 / (x+4) - x / (x+1)",
"53. 2x / (9 - x^2) - 3 / (x+1)",
"54. (3x+1) / (2x - 4) - (2x - 1) / (5x+3)",
"55. (x+3) / (x - 2) - 3 / (x+1)",
"56. 1 / (x+h) - 1/x",
"57. 1 / (x+h)^3 - 1 / x^3",
"58. 1/x + 1/y + 1/z",
""};

/*  6.17.13,  problems read from advdenom.mhw */
char *problems74[] = {
"1. 1/x+1/x^2+1/x^3",
"2. 2x/(x^2+4x) - 3/x",
"3. 4/(x^2 - x) -1/x",
"4. 16/(x^2y) - 1/(xy) + 3/(xy^2)",
"5. 1/ (x - 1) - 2 / (x^2 - 1)",
"6. x / (x - 1) + 7/ (x^2 - 1) + x / (x+1)",
"7. 2x / (x - 1) - 3 / (x^2 - 1) + 4 / (x^3 - 1)",
"8. 6 / (2x+1) - 5/x + 7 / (2x^2 + x)",
"9. 1 / (x - 1) - 3 / (x^3 - 1)",
"10. (1 - x) / (2+x) - (x^2 - x) / (x^2+2x)",
"11. 2/x + (3x+1) / x^2 + (x-5) /x^3",
"12. 5x/(x^2-1) + 5/(x+1)",
"13. (6a+4)/(a^2-1) + 6/(a-1)",
"14. 2n/(n^2-25) - 2/(5n+25)",
"15. 2/x+3/(x - 1)+4/(x^2 - x)",
"16. 3/x - 7/(x+1) + 5/(x+1)^2",
"17. 1/(x - 1) + 2/(x^2 - 1) + 3/(x^3 - 1)",
"18. 2/ (x+1) - 3/(x - 2) + 4/ (x - 2)^2",
"19. 5/x + (5x-3)/(x^2+6x) + x/(x+6)",
"20. 3x - x^2/(x+2) + 3/(x^2-4)",
"21. (3x) / (x - 1) + (x+3) / (x - 2) +2x - 7",
"22. 1/(x+2) + (3x) /(x+2)^2 - 7/x^2",
"23. ((3x) / (x+4) - 1/(x+4)) / (x+2+x/(x+4))",
"24. 1/(x^2+9x+14) + 1/(2x^2+15x+7)",
"25. x/(x - 2) - 2/(x^2 - 4x +4)",
"26. 1/(a^2-3a -10) + 2/(a^2 + 4a - 45)",
"27. 1/(y^2+6y-16) - 3/(y-8) - 3/(y+2)",
"28. x/(x^2+x - 2) + 2 / (x^2 - 5x+4)",
"29. 1/(x - 4) + (3x+1) / (x^2+5)",
"30. (x+3)/(2x^2 - x - 1) + x/(2x+1)",
"31. a/(20a^2 -11a-3) - a/(12a^2 + 7a -12)",
"32. 2/(x^2+3) + 2/(x^2+4x-21)",
"33. 14 / (x^2+3x - 10) - 2/(x+5)",
"34. 6/(x+5) + 1/(x - 3) - (4x - 1) / (x^2+2x - 15)",
"35. (x+3)/(x-10) + 1/(x^2+8x-20) + (x-1)/(x+2)",
"36. (2x+6) / (x^2+5x+6) + (5x - 1) / (x+2)",
"37. (2x+1) / (x^2+4x+4) - x/(x^2 - 4) + 1/(x - 2)",
"38. x/(x^2 - x -6) - 1/(x+2) + 2/(x -3)",
"39. n/(n-6) + (n+3)/(n+8) + (12n+26)/(n^2+2n-48)",
"40. (4x)/(x^2+2x - 3) - (5x)/(x^2+5x+6)",
"41. 1/(x^2 - 2x - 3) + 1/(x^2+3x+2)",
"42. (x^2+3x)/(x^2+4x+3) - (x^2 - 2x) /(x+1)",
"43. 4x/(2x^2+x+1) + (2x+7)/(3x^2+x-2) - 2/(3x-2)",
"44. (5x^2+30x+45)/(6x^2 - 24) - (3x^2+12x+12)/(10x^2 - 90)",
"45. (x - 4)/(x^3+2x^2+x) - (x -3) /(x^2 - 1)",
"46. n(n^2+1) + (n^2 + 3n)/(n^4-1) - 1/(n-1)",
"47. 6/(x^2+6x+9) - (5x)/(x^2 - 9) +1/(x+3)",
"48. (x^2-10)/(5x^2-7x+2) - 3x/(x-1) + 2/(5x-2)",
"49. (5x+2)/(5x - 1) - (25x^2 - 10x+4)/(125x^3+8)",
"50. 3/(3t+1) + (8t^2+8t + 2)/(3t^2-7t+2) -3/(t+2)",
"51. (x^3+x^2 - 12x) / (x^2 - 3x) + (3x^2 -10x+3)/(3x^2+11x - 4)",
"52. (n^2-8)/(n+2)-(2n^2+8)/(n^3-4n)+(n^3+2n^2)/(n^3+4n^2+4n)",
"53. 1/x^n - 2/ x^(n+1)",
"54. (a^2-3ab + 9b^2)/(a^3 + 27b^3) - 2/(3b-a)",
""};

/*  6.17.13,  problems read from comfract.mhw */
char *problems75[] = {
"1. (1/x - 1/4) / (x - 4)",
"2. 1 / (1/x+1/y)",
"3. (4/(xy^2))/(6/(x^2y))",
"4. (3/(8xy^2))/(6/4x^2)",
"5. a/(1/a+4) + 1",
"6. (1/16 - 1/x^2) / (x+4)",
"7. (1 - 1/x^2) / ((x - 1)/x)",
"8. (1/x-1/y)/(y/x^2-1/y)",
"9. (5/x + 7/x^2)/(5/y + 1/y^2)",
"10. 7/a - 2/b + 3a/b^2",
"11. (1/x^2 - 1/9) / (1/x - 1/3)",
"12. (1 / (x - 3) - 1/3) / x",
"13. (1 /x^2 - 1/9) / (x - 3)",
"14. (x+4) / (1/x^2 - 1/4^2)",
"15. (1 - 1/x) / (1 + 1/x)",
"16. [x-2/(x+1)]/[x+(x-3)/(x+1)]",
"17. 5/(x-2) - (5x-4)/(x^3-2x)",
"18. (2-3/x)/(1+6/x)",
"19. (1 / (x+2) - 3) / (4/x - x)",
"20. (1/x+1/y) / (1 / (x+y))",
"21. (x+1+2/x) / (1 - 1/x)",
"22. (5/(ab) - 3/b^2)/(2/a + 3/b)",
"23. (1/x+1/y) / (1/x^2 - 1/y^2)",
"24. (5 / (x^2 - 4)) / (10 / (x - 2))",
"25. (2/(n-5) -2)/(1-4/(n-5))",
"26. (3 + 6/(n-1))/(7-4/(n-1))",
"27. 3 - x/(1+3/x)",
"28. 6/x - 3/(2x^2)",
"29. (x+2/(xy^2))/ (1/x+2)",
"30. x / (x - 2 / (3 - 1/x))",
"31. (1/x+1/y) / (1/(xy))",
"32. 2/(a+b) - 2b(b-a)/(a^3 + b^3)",
"33. (b/(b-a)-a/(b+a))/((b^2+a^2)/(b^2-a^2))",
"34. (x/y^2 + y / x^2) / (1 / y^2 - 1/x^2)",
"35. (x+x^(-2)) / (1+x^(-2))",
"36. (3/(2x-1) - 1/(1+2x)) /( (5-4x)/(1-4x^2))",
"37. (2/x - 2/(x+2))/(3/(x^2+2x) - 3/x)",
"38. (x-1)/(x+4)+[(x-6)/(x^2+3x-4)]/[(x-4)/(x-1)]",
"39. x - y / (x/y + y/x)",
"40. (5 / (x+1) + (2x) / (x+3)) / (x / (x+1) - 7 / (x+3))",
"41. (x^2/(1-x^2)+ 2x/(1+x))/(3/(x^2-1))",
"42. (1/(x-y) - 3/(x+y))/(3/(x+y) + 1/(x^2-y^2))",
"43. 1 / (x+1/x - x / (1 - 1/x))",
"44. (x+2 - 3/(x+4)) / (x / (x+4)+1/(x+4))",
"45. (5/(4x-2y) - 3/(3x+5y) )/ ((x+15y)/(6x^2 + 7xy - 5y^2))",
"46. (1+1/(x+4)) / ((x+5) / (x^2 - 16))",
"47. 1+1 / (1+1/(1+x))",
"48. 1 - 1/(1 - 1/(1 - 1/x))",
"49. (2+1/(x - y)) / (1 - 2/(x-y))",
"50. ((3x^2+5x)/(x^2 - 25)) / (2/(x-5) +1/(x+5))",
"51. (x/y+y/x+1) / ((y+1)/x+(y+1)/y)",
"52. (1/x+1/y+1/z) / (1/(xy)+1/(yz))",
"53. (5/x+8/(2x+1)) / (6 /(2x+1) - 3/x)",
"54. (2/(x+h+1) - 2/(x+1)) / h",
"55. ((1 - (x+h))/(2+(x+h)) - (1-x)/(2+x)) / h",
"56. (1/(x+h)^2 - 1/x^2) /h",
"57. (1/(x+h)^3 - 1/x^3) /h",
""};

/*  6.17.13,  problems read from simpoly.mhw */
char *problems76[] = {
"1. (x+y)-(x+y-1)",
"2. (x-1)^2 + (x^2 + x + 1)",
"3. (x+1) +(x^2 - x + 1)",
"4. (1+x)^2 -(1-x-x^2)",
"5. (x+y)^2-(x^2 - xy + y^2)",
"6. (x-y)^2 - 3(x^2 + xy - y^2)",
"7. (x+y+1)+(x+y-1)",
"8. (x^2 + x + 1)-(x^2 - x + 1)",
"9. (x^3 + x + 1)-(x^3 - x + 1)",
"10. (x-1)+(x^2-1)-(x^3-1)",
"11. (x-1)^2 - (x-2)(x-3)",
"12. (x-1)(x-2)+(x-3)(x-4)",
"13. (x^2-1)(x^2 + 1) + (x^2-3)(x^2 + 3)",
"14. (5x+2) - (7x-1) + (-4x-3)",
"15. (-3x+3) + (6x-2) + (9x-3)",
"16. (12x-9) + (-3x+5) - (7x+1)",
"17. (6x+4) - (4x-2) + (-x^2 -1)",
"18. 3x^2 - (5x-(x+6))",
"19. 3x - (2x - (-x-4))",
"20. 2x^3 - (-2x^2 - (x^2+4))",
"21. 4x^3 - (-x^2 + (5x^2-6))",
"22. -2n^2 - (n^2-(-4n^2+n+7))",
"23. -7n^2 +3(2n^2-(-n^2-n+7))",
"24. (4t^2 +(2t+1)+3)-(3t^2 - (2t-1)-1)",
"25. -(3n^2 - 2n+4) +(2n^2 -(n^2+2n+3))",
"26. (n^2 -(2n^2 -n-5)) + (3n^2 + (n^2-2n-3))",
"27. x^2 - (x^2 -2x-(x^2-2x+7))",
"28. (3xy - (2x-xy+y))-(3x-(x-10xy-y))",
"29. (9xy -(4x+xy-y)) +(4y-(2x-xy+2y))",
"30. (4x^3 + (2x^2-x-1)) + (-x^3 - (7x^2 -x - 10))",
"31. (x^2x^2 + x^4)x^4 + x^8",
"32. 2a^2 - (a-3)(2a+1)",
"33. 5a^3 - (2a^3 - 5(a^3-7))",
"34. 4x^2y - x(xy-y(2y-x))",
"35. (x^2 + x)-(x^2 + 2x + 1)",
"36. (x-1)(x+1)+(x+1)(x-1) + 2",
"37. 5(4x-2y)((3x+5y) - (x+15y))(6x^2 + 7xy - 5y^2)",
"38. 4x(2-3x) - 5x^2 (4x + 9x -12)",
"39. 2(x+h-1) - 2(x-1)h",
"40. (bx - (a+bx)x^2)(a+bx)x",
"41. ((a-x -(a+x)(-1))(a-x)^2)",
"42. (2x(a+bx^2)-2bx^3)(a+bx^2)^2",
"43. ((a^2-x^2) + x^2)(a^2-x^2)",
"44. (x^2+4x+3)+(x^2+8x+7)",
"45. (1-3x)(x+1)-(2x-3x^2)^2",
"46. (8y^2-3y-4y^3)-(3y^2-9y-7y^3)",
"47. (x^2-5y^2-9z^2)+(-6x^2+9y^2-2z^2)",
"48. (8x-4y+z)-(4x+6y-3z)",
"49. (-3x^2+2x+9)-(x^2+5x-4)",
"50. (3x^2-2x-x^3)-(5x^2-8x-x^3)",
""};

/*  6.17.13,  problems read from simexp.mhw */
char *problems77[] = {
"1. (x^3)(8x)",
"2. (3x^3)(4x^2)",
"3. (-a^2b)(-4ab ^3)",
"4. (-8a^2b^2)(-3ab^3)",
"5. (x^2yz^2)(-8xyz^3)",
"6. (6xy)(-6y^3)",
"7. (-4xy)(4x^4)",
"8. (3a^3b)(9a^2b^2)",
"9. (-8a^2b^3)(-12ab^4)",
"10. (-x^3y^2)(xy^3)",
"11. (-(3/7)ab)((1/7)a^2b^3)",
"12. (-(2/5)a^2)((3/5)ab^2)",
"13. x (-2x^3)(-5x ^2)",
"14. (-3x)(-5x^3)(x^2)",
"15. (-x^2)(3x^3)x^5",
"16. (x^2y)(-5xy^2)(x^3y^5)",
"17. (xy^2)(-4xy)(x^2y^3)",
"18. (4ab)(-2a^2b)(7a)",
"19. (3b)(-2ab^2)(7a)",
"20. (-5a^2b)(-ab^2)(-3a)",
"21. ((3/4)x)(-2x^2y^2)(3y^4)",
"22. (-8x)(3y)(-(3/4)xy^5)",
"23. (-2x^2y)^6",
"24. (-3xy^4)^5",
"25. (-x^5y^2)^7",
"26. (a^2b^3c^5)^3",
"27. (2a^3b^2)^8",
"28. (x^2y^5)^4",
"29. (-2a^2b^3)^2",
"30. -(5ab)^4",
"31. -(xy^2z^2)^7",
"32. -(xy^2z^3)^7",
"33. (-xy^3z^2)^8",
"34. (-x^2y^4z^5)^5",
"35. 6x^2y^6/(6x^2y^4)",
"36. 56x^6y^4/(-7x^2y^3)",
"37. (-8a^3bc^4)/(-6a^2c^3)",
"38. (-32x^4y^5z^7)/(x^2yz^3)",
"39. (-a^4b^5c)/(a^2b^4c)",
"40. 7ab^3/(-7ab)",
"41. (-12abc^2)/(3bc)",
"42. (-48xyz^2)/(2xz)",
"43. (2x^n)(7x^(2n))",
"44. a^(2n-1) a^(3n+5)",
"45. x^(3n+2) x^(n+1)",
"46. a^(10n-2) a^3",
"47. (2x^n)(-5x^n)",
"48. (-3a^2)(-4a^(n-2))",
"49. x^n(2x^(2n))(3x^2)",
"50. (6x^(n+1))x^(n-1)(4x^(2+n))",
""};

/*  6.17.13,  problems read from simprat2.mhw */
char *problems78[] = {
"1. (5a^2b^2)/(11ab) (22a^3)/(15ab^2)",
"2. (7x^2y)/(9xy^3)/(3x^4/(2x^2y^2))",
"3. ((x^2 - x - 6)/(x^2 - 3x)) (x^3+x^2)/(x+2)",
"4. ((3x+9)/(2x)) (8x^2)/(x^2 - 9)",
"5. ((x^2 - x - 6)/(x^2+2x)) (x^3+x^2)/(x^2 - 2x - 3)",
"6. ((121 x^2)/(16 - y^2)) (16 - 4y)/(44x^4 - 11x^2)",
"7. (x - 1/x) / (1+1/x)",
"8. ((x^2+3x - 4)/(x^2 - 3x - 4)) (x^2 - 5x+4)/(x^2+5x+4)",
"9. (x/(x+1) + 1/x) / (1/x+1 / (x+1))",
"10. (2x (x^2 - 1)^4 - 4x^2(x^2 - 1)^3 2x) / (x^2 - 1)^8",
"11. (3x+6)/(5y) (x^2+4)/(x^2+10x+16)",
"12. (-6x(x^2 - 3)^2 - (x^2 - 3)(-3x^2 - 9) (4x)) / (x^2 - 3)^4",
"13. (y^2 / x^2 - 1) / (y / x - 1)",
"14. ((xy)^3 - 1) / (xy - 1)",
"15. (2x (1 - 3x)^3+9x^2(1 - 3x)^2) / (1 - 3x)^6",
"16. (x^2+2x+xy+2y) / (x^2+4x+4)",
"17. (2x+3)/(2x^3-4x^2) - 1 / (x - 2)",
"18. 3 /(x^2 - 1) - 2 / (x^2 - 2x+1)",
"19. (a^2 - b^2) / (a^2 - 6b - ab +6a)",
"20. (4x) / (x^2+2x - 3) - (5x) / (x^2+5x+6)",
"21. (3y - 4) / (y - 5) + (4y) / (10+3y - y^2)",
"22. x/(x^2+x - 2) - 2 / (x^2 - 5x+4)",
"23. (2x) / (x^2 - 9x+14) - (x - 1) / (x^2 - 8x+7)",
"24. (2x - 5)/(x+1) - 3 / (x^2+x)",
"25. 6/(5 (x - 1)(x - 2)^2) + x / (3(x - 1)^2 (x - 2))",
"26. (3x+8) / (4x^2) - (2x - 1)/ x^3 - 5/(8x)",
"27. (2x) / (x+2) - 8/(x^2+2x) + 3/x",
"28. (5x)/(2x+3) - 6/(2x^2+3x) +2/x",
"29. 2/(y+3) - 1/(y - 3) + (2y)/(y^2 - 9)",
"30. (2x+1)/(x^2+4x+4) - (6x)/(x^2 - 4) +3/(x - 2)",
"31. (10 - 5x)/(3x) - 2/(x+5) - (8 - 4x)/(x+5)",
"32. 1/(x+1) - 2/(x+1)^2 + 3/(x^2 - 1)",
"33. 1/(x+2) + 1/(x^2 - 4) - 2/(x^2 - x - 2)",
"34. 3/(2x^2 - 3x - 2) - (x+2)/(2x+1) - (2x)/(10 - 5x)",
"35. (2 - x)/(x+1) + (x+8)/(x - 2) - (4 - x)/(x^2 - x -2)",
"36. (21t^2+22t-8)/(5t^2-43t-18)/((12t^2+7t-12)/(20t^2-7t-6))",
"37. 1/(x+1 - x/(1 - 1/x))",
"38. ((6x^2 - 5x - 6)/(x^2 - 4)) / ((2x^2 - 3x)/(x+2))",
"39. (5/(x+1) + (2x)/(x+3)) / (x/(x+1) + 7/(x+3))",
"40. ((x^3+y^3)/(x^2 - y^2)) / ((x^2 - xy +x^2)/(x+y))",
"41. ((x+y) / (x+2y)) / ((x+y) / (xy))^2",
"42. ((a^3 - 8)/(a^2 - 4)) / (a /(a^3+8))",
"43. ((x^2+3x)/(x^2+4x+3)) / ((x^2 - 2x) / (x+1))",
"44. ((3x+1)/(x - 4)) / ((2x+1)/(x+2) - x/(x - 4))",
"45. ((x^2 - 7x+10)/(5x - 25)) / ((4 - 2x) / (25 - x^2))",
"46. ((3x+6)/(x^2+4x)) / ((x^2+3x - 4)/(x^2 - 4))^(-1)",
"47. ((x^3 - y^3)/(x - y)^3) / ((x^2+xy+y^2)/(x^2-2xy+y^2))",
"48. x / (x+2 /(3+4/x))",
"49. 1 + 1/(1+1/(1+1/(1+x)))",
"50. (2x^2+3x)/(2x^3-10x^2)(x^2-8x+15)/(3x^3-27x) /((14x+21)/(x^2-6x-27))",
"51. (x^3+2x^2+x+2)/(2x^4+6x^2+4)+(2x^3+4x^2+6x+12)/(3x^4-3x^2-18)",
"52. (tr + 3t + 2r + 6)/(tr+3t-3r-9)(t^2-9)/(t^3-4t)",
"53. ((6x^2 - 8x)/(3x^3 - x^2 - 4x)) (4x^4 - 8x^3 - 12x^2)/(2x - 6)",
"54. ((x^3+x^2 - 12x)/(x^2 - 3x)) (3x^2 - 10x+3)/(3x^2+11x - 4)",
"55. (x - y) (2 - (2x - y) / (x - y))",
"56. (10n^2 + 21n -10)/(5n^2 + 33n -14) (2n^2 + 6n - 56)/(2n^2 - 3n - 20)",
"57. (5-14n - 3n^2)/(1-2n - 3n^2) (9+7n-2n^2)/(27-15n+2n^2)",
""};

/*  6.17.13,  problems read from negexp.mhw */
char *problems79[] = {
"1. a^3 a^5/a^8",
"2. a^3 a^2 a / a^9",
"3. a^4 b^2/(a^2 b^4)",
"4. (ab)^4/(a(ab)^2)",
"5. (-a^2)^3 b^2/(a^2(-b)^3)",
"6. (a^2b^3/(a^3b))^2",
"7. ab^2(a/b^2)^3",
"8. a^p b^q/(ab)^2",
"9. ((x^2y^(-1))^2)^(-4)",
"10. (x^3 / y^2)^4 ((-y) / x^2)^2",
"11. ((2 x^3y^2) / (8 x^(-3) y^(-2)))^4",
"12. (x^(-1) / (2 y^(-1))) ((2y) / x)^(-3)",
"13. ((2 x^3)^3 (3 y^5)) / (7 (x^3)^4)",
"14. a^0 b^2/(ab)^p",
"15. (a^pb^q/(a^3b^4))^2",
"16. (-a)^(-1)b/a(-b)^(-1)",
"17. (32 x^5 y^(-8)) / (24 x^7 y^(-7))",
"18. (a^2/b)/(b/a^2)",
"19. a^(-1)b^2/(a^(-2)b^(-1))",
"20. (2a)^3b/(2a^3(3b)^(-1))",
"21. ( - x^(-5) y^6)^3 / (x^8 y^4)^2",
"22. (4 x^2 b)^4 ((- a^3) / (2b))^2",
"23. ((x+1) / (3 (x - 1)))^(-3) ((x+1) / (x - 1))^4",
"24. (2 x^2y^(-1))^6 / (4 x^3 y^(-5))^2",
"25. ((3x)^2 (y^2)^3 x^2) / (2 xy^2)^3",
"26. ((x - y)^6 / (x -y)^2)^(-2)",
"27. (3^(-1) x^2 y^(-3)) / (9 x^(-2) y^(-4))",
"28. (4 x^2 y z^2)^4 / (- 5 x^6 y^2 z)^2",
"29. (a^2 (a+y)^3)^(-2) / (a (a+y)^2)",
"30. ((2ax^2)^(-2) (a^3 x^(-1))^2) / (2 (ax)^(-1) (ax^5))",
"31. (((x^3 y^(-1) z^(-2)) / (x^2 y^2 z) )^(-2))^2",
"32. a^(p+1) b^(p-1)/(a^(p-1) b^(p+1))",
"33. a^(2p-1)b^(2p)/(a^2b^3)",
"34. (-a^p)^2(b^2)^p/(a^p(-b^2)^3)",
"35. ((x^2)^n x^5) / x^n",
"36. (x^(a+b) y^b) / (x^(a - b) y^(b - 2))",
"37. ( x^(2a) y^(a+1)) / (x^a y^(a+3))",
"38. ((x^2)^m (x^3)^n) / (x^(m+n) x^(m - n))",
"39. ((2 x^8) / (9x^3))^(-1/2)",
"40. ((x^7 y^12) / (125 x))^(1/4)",
"41. ( (24 a^6 b^(-13) c^15) / (3 a^2 b^(-9) c^7))^(1/4)",
"42. (axy)^(1/3) / (3 x^(-2))^(1/3)",
"43. ((8x^3) / y^4)^(1/5) ((4 x^4) / y^2)^(1/5)",
"44. ((3x^11 y^3) / (9x^2))^(1/5)",
"45. ((x^(-5) y^3) / z^10)^(-3/5)",
"46. ((a^(3/2) b) / (3 a^(1/2) b^(-1)))^2",
"47. ((a^(1/2) b^(1/3)) / (a^2 b))^(-4)",
"48. (x^(1/2) y^(2/3)) / (x^(-1/3) y^2)",
"49. ((x^2 y^(-3)) / (x^(-1) y^2)) ((x^(-2) y^(-1)) / (x^(3/2) y^(1/3)))",
"50. ((x^(1/2) y^(1/3) z^(1/4)) / (x y^2 z^3))^(-1/6)",
""};

/*  6.17.13,  problems read from elimneg.mhw */
char *problems80[] = {
"1. 2^(-3)",
"2. 10^(-4)",
"3. 1/3^(-5)",
"4. (1/2)^(-2)",
"5. (2/5)^(-2)",
"6. 1/(2/5)^(-2)",
"7. -(5/6)^(-1/2)",
"8. 3^(-4) 3^3",
"9. 5^4 5^(-5/2)",
"10. 10^6 10^(-5)",
"11. 10^(-3) 10^(-3)",
"12. (2^(-2))^(-1/4)",
"13. (3^(-1))^(-1/3)",
"14. (2^(-2) 3^(-2))^(-3)",
"15. (2^(-3) 3^(-2))^(-1)",
"16. (2^(-4)/3^(-2))^(-1/2)",
"17. (3^(1/2))/(5^(-1))^(-1)",
"18. 2^(-3)/2^3",
"19. 10^(-1/2)/10^(-5/2)",
"20. 2^(-3) + 3^(-1)",
"21. (3/2)^(-1/2) - (1/4)^(-1/2)",
"22. (5^(-1) + 2^(-3))^(-2)",
"23. x^(-1) + x^(-3)",
"24. x^(-2/3) + x^(-3/2)",
"25. a^(-1) + a^(-1)b^(-3)",
"26. x^(-3)x^(-5)",
"27. 2x^(-1) + 13y^(-2)",
"28. 12x^(-1/3) - 3x^(-2/3)",
"29. b^(-1) b^4 b^(-3)",
"30. (x^4)^(-5)",
"31. (x^2y^(-5))^(-1/2)",
"32. (x^6 y^(-1))^(-3/2)",
"33. (a^3b^(-3)c^(-2))^(-4)",
"34. (x^3y^(-3))^(-1/3)",
"35. (3x^5y^(-2))^(-2)",
"36. (x^(-1)/y^(-7))^(-5)",
"37. (y^3/x^(-4))^(-2)",
"38. (3xy^2/(x^(-1)y^(-2)))^(-1)",
"39. a^(-2/5)/a^2",
"40. x^(-3)y^2/(x^2y^(-3))",
"41. (2xy^(-1))(x^(-2)y^4)^(1/2)",
"42. (x^(-1)y^2)(6x^3y^(-4))",
"43. (-a^(-3)b^(-5))(-2a^(-1)b^4)",
"44. 8x^(-2/3)y^(-3/2)/(4x^(-3)y^(-1))",
"45. (6x^2y^(-3))/(12xy^(-4))",
"47. 10a^(-5)b^(-4)/(a^(-1/2)b)",
"48. (5 x^(-1)y^(-2))/(7x^4y^(3/5))^(-1)",
"49. ((-8(ab)^2)/(-6a^3b^5/2))^(-2)",
"50. (8xy^3/(-4x^4y^(-2)))^(-3)",
"51. x^(-1)y^(-2) + xy^(-3)",
"52. x^(-3)y^(-2) - x^(-1)y^(-3)",
"53. 5x^(-2)y + 6x^(-1)y^(-2)",
""};


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