Sindbad~EG File Manager

/*  6.17.13,  problems read from expeqn.mhw */
char *problems121[] = {
"1. 8^x = 2^(x^2)",
"2. 4^(x+2) = 2^(x - 1)",
"3. 2^(6x) = 64^(x^2)",
"4. 3^(2x) = 9^(3x-2)",
"5. 4^(x^2) = 256^(x-1)",
"6. 10^x - 1= 99",
"7. 8^(3x - 2) = 64",
"8. 4^x = 8^(x+3)",
"9. 8^(x - 1) = 4^(x^2)",
"10. 5^(x^2-x) = 25",
"11. (4/5)^(x^3) = 64/125",
"12. (2/3)^x = 27/8",
"13. (sqrt 2)^x = 8",
"14. 2^(x^2) = (1/4)^x",
"15. 10^(3x-1) = 92",
"16. e^(2x+1) = 405",
"17. 3^x = 18",
"18. 3^(x/2) = 6",
"19. 11^x = 22",
"20. 2^x = 10",
"21. 2^(-x) = 1/5",
"22. e^(x/2) = 10",
"23. 2^(3^x) = 5",
"24. 2^(x/3) = 3^(x/2)",
"25. 3^(- x^2) = 4",
"26. 3^(- x^2) = - 5",
"27. 2^(2x - 2) = 6^(- x)",
"28. 5^(5 - 2x) = 26",
"29. 2^x = 3^x",
"30. 2^x 3^x = 9",
"31. 2^x = 3^(2x - 1)",
"32. e^(2 ln x) = 4",
"33. e^( - ln x) = 2",
"34. 2^x / (2^x - 1) = 5",
"35. x^sqrt 3 = 8",
"36. x^sqrt 2 = 8",
"37. 10^(2x) = 3(10^x)",
"38. e^(4x) = 5e^(2x)",
"39. 1/2 e^x = e^(2x - 1)",
"40. 2^x - 6 (2^-x) = 6",
"41. e^(6x) - 6e^(3x) + 5 = 0",
"42. e^(2x) - e^(-2x) = 2",
"43. e^x + e^(-x) - 1 = 0",
"44. e^x - e^(-x) = 3(e^x + e^(-x))",
"45. x^2 e^(2x)+2 x e^(2x) = 8 e^(2x)",
"46. 4^x - 6 (2^x) = -8",
"47. 5^x+3 = 10 (5^-x)",
"48. 2 e^(2x) - 9 e^x+4 = 0",
"49. (2^x - 1) / (2^x+1) = 2^x",
"50. e^(3x) - 2e^(2x) + 4e^x - 8 = 0",
"51. 2e^(3x) + 6e^(2x) - 3e^x - 9 = 0",
"52. 6e^(-3x) + 9e^(-2x) - 8e^(-x) - 12 = 0",
"53. 5e^(2x) - 7e^x + 14 + 12e^(-x) = 0",
"54. 4e^(2x) - 4e^x + 13 - 12e^(-x) + 3e^(-2x) = 0",
""
};

/*  6.17.13,  problems read from compolar.mhw */
char *problems122[] = {
"1. i",
"2. 1 - sqrt 3",
"3. -i",
"4. -10",
"5. 4i",
"6. -4i",
"7. -5i",
"8. 5i",
"9. 1 + i",
"10. 1 -i",
"11. -1 + i",
"12. -1 -i",
"13. 3 - (sqrt 3)i",
"14. -20i",
"15. 5 - 6i",
"16. 2 + 2i",
"17. 1 - (sqrt 3) i",
"18. sqrt 3 - i",
"19. -sqrt 3 + i",
"20. -1 + (sqrt 3) i",
"21. -1 - (sqrt 3) i",
"22. 1 + sqrt(3) i",
"23. sqrt 3 + i",
"24. -sqrt 3 -i",
"25. sqrt 5 - (sqrt 11)i",
"26. - sqrt 7 - 3i",
"27. 4+4(sqrt 3)i",
"28. 2 sqrt 3 - 2i",
"29. sqrt 5 + 4i",
"30. 4sqrt 2 - 4i sqrt 2",
"31. 1/i",
"32. 1/(1+i)",
"33. 4 / (-3 + 3i)",
"34. (2 - 2i) / (-1 - i)",
"35. 1/(1+sqrt(3) i)",
"36. 7i (-5i)",
"37. 4i (2 - i)",
"38. (- 3i) (2+i)",
"39. (1+i) (-2 - 2i)",
"40. (3+3i) (1 + i)",
"41. (sqrt 3+i) (- sqrt 3 - i)",
"42. (3-3i)/ (1 + i)",
"43. (1 - i)^2",
"44. (1+i)^2",
"45. (1+i)^3",
"46. (1+i)^4",
"47. (sqrt 2 - i)^10",
"48. (-sqrt 2 - i sqrt 2)^7",
"49. 2(cos pi - i sin pi)",
"50. -3(cos(pi/6) - i sin (pi/6))",
""
};

/*  6.17.13,  problems read from demoivre.mhw */
char *problems123[] = {
"1. ( cos (deg (15)) + i sin (deg (15)))^8",
"2. (cos (deg (5)) + i sin (deg (5)))^12",
"3. ((sqrt 2) (cos (5pi/4) + i sin (5 pi/4)))^6",
"4. (cos (pi/5) + i sin (pi/5))^15",
"5. (cos (pi/10) + i sin (pi/10))^40",
"6. (cos (pi/4) + i sin (pi/4))^10",
"7. (1+  (sqrt 3) i)^3",
"8. (-(1/2) - (sqrt 3)/2 i )^3",
"9. (-sqrt 3 - i)^4",
"10. (1 + (sqrt 3)i)^8",
"11. (1 + 3i)^7",
"12. (1+ (sqrt 3)i)^(-8)",
"13. (- sqrt 3 + (sqrt 3)i)^9",
"14. ((sqrt 3) / 2 + 1/2 i)^10",
"15. (2^(1/3) + 2^(1/3) i)^12",
"16. (-1+i)^18",
"17. (1 - i)^100",
"18. ((- sqrt 3) / 2+1/2 i)^100",
"19. ((sqrt 2)/2 - (sqrt 2)/2 i)^20",
"20. 4i (2 - i)",
"21. (sqrt 3 +i) (- sqrt 3 - i)",
"22. ((1 - i) (1+i))^17",
"23. (1+i)^6(sqrt 3 - i)^3",
"24. (- sqrt 3 + i)^(-4) (-1-i)^6/((-1+i)^(-2)(- sqrt 3 -i)^3)",
"25. ((2+2i) / (3 - 3i))^5",
"26. (cos pi - i sin pi)^5",
"27. (-2(cos(pi/6) - i sin (pi/6)))^6",
""
};

/*  6.17.13,  problems read from hyperfun.mhw */
char *problems124[] = {
"1. sinh(-x) = - sinh x",
"2. cosh(-x) = cosh x",
"3. cosh x + sinh x = e^x",
"4. cosh x - sinh x = e^(-x)",
"5. sinh(x+y) = sinh x cosh y + cosh x sinh y",
"6. cosh(x+y) = cosh x cosh y + sinh x sinh y",
"7. sinh(x-y) = sinh x cosh y - cosh x sinh y",
"8. cosh(x-y) = cosh x cosh y - sinh x sinh y",
"9. tanh(x+y)=(tanh x + tanh y)/(1+tanh x  tanh y)",
"10. coth(x+y)= (1+coth x coth y)/(coth x + coth y)",
"11. sinh 2x = 2 sinh x cosh x",
"12. cosh 2x = cosh^2 x + sinh^2 x",
"13. tanh 2x = (2 tanh x)/(1+tanh^2 x)",
"14. coth 2x = (1+coth^2 x)/(2 coth x)",
"15. coth^2 x -1= csch^2 x",
"16. 1- tanh^2 x = sech^2 x",
"17. cosh^2 x - sinh^2 x = 1",
"18. sinh(ln x)= (x^2-1)/(2x)",
"19. cosh(ln x)= (x^2+1)/(2x)",
"20. coth(ln x)= (x^2+1)/(x^2-1)",
"21. tanh(ln x) = (x^2-1)/(x^2+1)",
""
};

/*  6.17.13,  problems read from hyptrig.mhw */
char *problems125[] = {
"1. tanh(-x)=-tanh x",
"2. coth(-x)=-coth x",
"3. sech(-x)=sech x",
"4. csch(-x)=-csch x",
"5. tanh x coth x =1",
"6. tanh(x+y) = (tanh x + tanh y)/(1+tanh x tanh y)",
"7. tanh(x-y)= (tanh x - tanh y)/(1-tanh x  tanh y)",
"8. coth(x-y)= (1-coth x coth y)/(coth x - coth y)",
"9. csch x=(coth x)/ cosh x",
"10. sech x =(tanh x)/ sinh x",
"11. sinh 2x= 2 sinh x cosh x",
"12. sinh^2 x= 1/(coth^2 x -1)",
"13. cosh^2 x= 1/(1-tanh^2 x)",
"14. cosh^2 x= (coth^2 x)/(coth^2 x-1)",
"15. cosh^2 x= (1+csch^2 x)/csch^2 x",
"16. tanh^2 x= (sinh^2 x)/(sinh^2 x+1)",
"17. tanh^2 x= (cosh^2 x -1)/(cosh^2 x)",
"18. tanh^2 x= 1/(csch^2 x+1)",
"19. coth^2 x= (sinh^2 x + 1)/(sinh^2 x)",
"20. coth^2 x= (cosh^2 x)/(cosh^2 x - 1)",
"21. coth^2 x= 1/(1-sech^2 x)",
"22. coth^2 x - 1 = csch^2 x",
"23. sinh^2 x = (tanh^2 x)/(1-tanh^2 x)",
"24. sinh^2 x= (1-sech^2 x)/sech^2 x",
"25. (1+tanh x)/(1-tanh x) = e^(2x)",
"26. sinh x + sinh y = 2 sinh((x+y)/2) cosh((x-y)/2)",
"27. sinh x - sinh y = 2 sinh((x-y)/2) cosh((x+y)/2)",
"28. cosh x + cosh y= 2 cosh((x+y)/2) cosh((x-y)/2)",
"29. cosh x - cosh y= 2 sinh((x+y)/2) sinh((x-y)/2)",
"30. tanh x + tanh y= sinh(x+y)/(cosh x cosh y)",
"31. tanh x - tanh y= sinh(x-y)/(cosh x cosh y)",
"32. (cosh x + sinh x)^2 = cosh(2x) + sinh(2x)",
"33. (cosh x - sinh x)^2 = cosh(2x) - sinh(2x)",
"34. (cosh x + sinh x)^3 = cosh(3x) + sinh(3x)",
"35. (cosh x - sinh x)^3 = cosh(3x) - sinh(3x)",
"36. (cosh x + sinh x)^n = cosh(nx) + sinh(nx)",
"37. (cosh x - sinh x)^n = cosh(nx) - sinh(nx)",
"38. sinh^2 x - sinh^2 y = sinh(x+y) sinh(x-y)",
"39. cosh^2 x - cosh^2 y = sinh(x+y) sinh(x-y)",
"40. sinh^2 x + cosh^2 y = cosh(x+y) cosh(x-y)",
"41. sinh^3 x = (sinh 3x - 3 sinh x)/4",
"42. sinh^4 x = (cosh 4x - 4 cosh 2x + 3)/8",
"43. sinh^5 x = (sinh 5x -5 sinh 3x + 10 sinh x)/16",
"44. sinh^6 x = (cosh 6x -6 cosh 4x +15 cosh 2x -10)/32",
"45. sinh^7 x = (sinh 7x -7 sinh 5x + 21 sinh 3x - 35 sinh x)/64",
"46. cosh^3 x = (cosh 3x + 3 cosh x)/4",
"47. cosh^4 x = (cosh 4x + 4 cosh 2x + 3)/8",
"48. cosh^5 x = (cosh 5x +5 cosh 3x + 10 cosh x)/16",
"49. cosh^6 x = (cosh 6x +6 cosh 4x +15 cosh 2x +10)/32",
"50. cosh^7 x = (cosh 7x +7 cosh 5x + 21 cosh 3x + 35 cosh x)/64",
"51. sinh 3x = 3 sinh x + 4 sinh^3 x",
"52. sinh 5x =  5 sinh x + 20 sinh^3 x + 16 sinh^5 x",
"53. sinh 6x = (cosh x) (6 sinh x +32 sinh^3 x +32 sinh^5 x)",
"54. sinh 7x= 7 sinh x + 56 sinh^3 x + 112 sinh^5 x + 64 sinh^7 x",
"55. cosh 2x = 2 cosh^2 x -1",
"56. cosh 3x = 4 cosh^3 x - 3 cosh x",
"57. cosh 4x = 8 cosh^4 x  - 8 cosh^2 x + 1",
"58. cosh 5x= 16 cosh^5 x -20 cosh^3 x +5 cosh x",
"59. cosh 6x= 32 cosh^6 x - 48 cosh^4 x +18 cosh^2 x -1",
"60. cosh 7x= 64 cosh^7 x -112 cosh^5 x + 56 cosh^3 x - 7 cosh x",
"61. sinh^2(x/2) = (cosh x -1)/2",
"62. cosh(x/2) = sqrt((cosh x + 1)/2)",
"63. tanh (x/2) = (sinh x)/(1 + cosh x)",
"64. tanh(x/2) = (cosh x - 1)/sinh x",
"65. coth(x/2)= (sinh x)/(cosh x -1)",
"66. coth(x/2)= (cosh x +1)/(sinh x)",
"67. sinh(4x)= 2 sinh(2x) cosh (2x)",
"68. cosh(4x)= cosh^2 (2x) + sinh^2 (2x)",
"69. tanh(4x)= (2 tanh (2x))/(1+tanh^2 (2x))",
"70. coth(4x)= (1+coth^2 (2x))/(2 coth (2x))",
"71. sinh(6x)= 2 sinh(3x) cosh (3x)",
"72. cosh(6x)= cosh^2 (3x) + sinh^2 (3x)",
"73. tanh(6x)= (2 tanh (3x))/(1+tanh^2 (3x))",
""
};

/*  6.17.13,  problems read from comptrig.mhw */
char *problems126[] = {
"1. sin i",
"2. cos i",
"3. sin ix",
"4. cos ix",
"5. tan i",
"6. sec i",
"7. ln(i)",
"8. ln(-1)",
"9. i^i",
"10. cos i + sin i",
"11. cos i - sin i",
"12. cos i + i sin i",
"13. cos i - i sin i",
"14. cos (ix)+sin(ix)",
"15. cos(ix)-sin(ix)",
"16. cos (ix)+isin(ix)",
"17. cos(ix)-isin(ix)",
"18. sin(ix^2)",
"19. sin (i^3)",
"20. cos (i^5)",
"21. sin (ix)^(-1)",
"22. cos (ix)^3",
"23. sin (ix)^(-3)",
"24. sin^(-1) i",
"25. cos^(-1) (ix)",
"26. sin^2 i",
"27. sin^2 (ix)",
"28. -i sin(i ln x)",
"29. 1/i tan(ix)",
"30. i cot(ix)",
"31. -i sin^2(ix^2)",
"32. cos(i ln x)",
"33. 1/i cos^2(ix^3)",
"34. i cot(i ln x)",
"35. sin(x+iy)",
"36. sin(x-iy)",
"37. sin(x+iy)+ sin(x-iy)",
"38. sin(x-iy)+i sin(x-iy)",
"39. cos(x+iy)",
"40. cos(x-iy)",
"41. cos(x+iy)- cos(x-iy)",
"42. cos(x+iy)+i cos(x-iy)",
"43. tan(ix)",
"44. cot(ix)",
"45. tan(i ln x)",
"46. e^(x + iy)",
"47. ln(10i)",
"48. ln(ix)",
"49. ln(sin ix)",
"50. ln(1+sqrt(2)i)",
""
};

/*  6.17.13,  problems read from compquad.mhw */
char *problems127[] = {
"1. x^2 + 1 = 0",
"2. x^2 + 5 = 0",
"3. x^2 + 13 = 0",
"4. x^2 + 81 = 0",
"5. x^2 + 64 = 0",
"6. x^2 + 125 = 0",
//   Then some that use the quadratic formula with negative discriminant.
"7. x^2 + x + 1 = 0",
"8. x^2 + 2x + 2 = 0",
"9. x^2 + 3x + 3 = 0",
"10. 2x^2 + 2x + 1 = 0",
"11. 2x^2 + 3x + 2 = 0",
"12. 3x^2 + 2x + 1 = 0",
"13. 3x^2 + 3x + 2 = 0",
"14. -x^2 + x - 2 = 0",
//  14. -3x^2 -2x - 1 = 0
"15. x^2 -2x + sqrt 2 = 0",
"16. x^2 + 3x  + sqrt 6 = 0",
"17. x^2 - 3x + root(3, 15) = 0",
"18. -5x^2 + 6x - 8 = 0",
"19. 5x^2 - 6x  + 9 = 0",
"20. -x^2 + 4x - root (4, 625) = 0",
 // Now some of the form x^2 - 2b x + (b^2 + c^2) = (x-(b+ci))(x-(b-ci))
"21. x^2 - 2x + 2 = 0",
"22. x^2 - 2x + 5 = 0",
"23. x^2 - 4x + 5 = 0", 
"24. x^2 - 4x + 8 = 0",
"25. x^2 - 2x + 10 = 0",
"26. x^2 - 4x + 13 = 0",
"27. x^2 - 6x + 18 = 0",
"28. x^2 + x + 5/4 = 0",
"29. x^2 +x + 9/4 = 0",
"30. x^2 - 3x + 21/4 = 0",
//  Then some with complex coefficients that factor.
"31. x^2 - ix + 2 =0",
"32. x^2 + ix + 2 = 0",
"33. x^2 - ix + 3 = 0",
"34. x^2 + ix + 3 = 0",  
"35. x^2 - ix + 6 = 0",
"36. x^2 + ix + 6 = 0",
"37. x^2 - ix + 12 = 0",
"38. x^2 - 3ix + 10 = 0",
"39. x^2 +3ix + 10 = 0",
"40. x^2 - 7ix + 30 = 0",
//  Then some with complex coefficients that need the quadratic formula.
"41. x^2 +ix +2 = 0",
"42. x^2 + ix - 2 = 0",
"43. x^2 -i x + 5 = 0",
"44. ix^2 + x - i = 0",
"45. ix^2 + x + i = 0",
""
};

/*  6.17.13,  problems read from cubics.mhw */
char *problems128[] = {
"1. x^3 -x + 2 = 0",
/* 
"2. x^3 - 3x^2 + x + 1 = 0",
"3. x^3 - 5x^2 + x + 1 = 0",
"4. x^3 - 4x^2 + 5",
"5. 5x^3-x^2+7x-30",
"7. x(x+1)^2-4",
"8. x(x-5)(x+3)-9",
"9. 2x^3 -50x +3",
"10. 20x^3 + 41x+20",
"11. 3x^3-46x^2-32",
"12. x^3-9x^2",
"13. 2x^3+x^2-3",
"14. x^3+5x^2-36",
"15. 12x^3+46x^2+40x",
"16. 5x^2 (3x-2)",
"17. (3x-1)32-16",
"18. (x+9)^2(x-6) -24",
"19. 3x - 2(x^3-1)",
"20. x^2 + 2x + 1  -x^3",
"21. x^2 + 2x + 1 -2x^3",
"22. x^3 + 2x^2 -1",
"23. 2x^3-x^2+4x-1",
"24. x^3-18x+80",
"25. x^3+19x^2+70",
"26. x^3+2x^2 + x-4",
"27. 2x^3 + 5x-2",
"28. 4x^3+7^2+2",
"29. 3x^3+3x^2 + 5x+1",
"30. 3x^3 + 19x + 20",
"31. 2x^3 - 17x^2 + 30",
"32. x^3-4x^2 - 2x",
"33. -x^3+6x^2 - 4x",
"34. 5x^3 - 13x^2+2",
"35. 7x^3 + 12x +4",
"36. 3x^3 -4",
"37. 4x^3-x^2-6",
"38. x^3-x^2+4x+7",
"39. x^3+2x^2+7x+10",
"40. x^3-8x+72",
"41. 3x^3+4x^2-12",
"42. 7x^3-2x^2+6x-3",
"43. x^3+32x+52",
"44. x^3-4x^2-19",
"45. 12x^3-73x+11",
"46. 6x^3+11x^2-25",
"47. -3x^3+6x+4",
"48. 9x^3+12x^2-2",
"49. -6x^3+2x+1",
"50. -2x^3+4x^2+1",
*/
""
};

/*  6.17.13,  problems read from sigma.mhw */
char *problems129[] = {
"1. sum(1,i,1,7)",
"2. sum(1/(i+1),i,1,10)",
"3. sum((3 + i),i,1,3)",
"4. sum(5i + 6,i,1,10)",
"5. sum(i^3, i,2,6)",
"6. sum((i-3)(i+2),i,2,7)",
"7. sum(x^k,k,3,8)",
"8. sum((1-i/10),i,1,10)",
"9. sum(j^2,j,n,n+5)",
"10. sum(i^2-2i+1,i,1,7)",
"11. sum(5i^2-1,i,3,7)",
"12. sum((i/14)^2,i,1,7)",
"13. sum((i^2-5),i,-3,3)",
"14. sum((i^2-3i+1),i,-2,1)",
"15. sum(1/5(i/5)^3,i,1,5)",
"16. sum(i^3,i,1,5)",
"17. sum((i+i^2-i^3),i,1,8)",
"18. sum(i(i-1)(i-2),i,1,8)",
"19. sum(i(i+2),i,1,5)",
"20. sum(4,i,1,20)",
"21. sum(2^(3-i),i,-2,2)",
"22. sum(2^i,i,0,4)",
"23. sum(sqrt i,i,1,5)",
"24. sum( 1 +(-1)^i,i,1,10)",
"25. sum((-1)^i/(i-1),i,2,6)",
"26. sum(3^i,i,0,4)",
"27. sum(2^i/(i+1),i,0,10)",
"28. sum((3/5)^i,i,0,3)",
"29. sum(1/3^(i+1),i,0,4)",
"30. sum((i+1)/20,i,1,9)",
"31. sum(2^i ln i,i,1,4)",
"32. sum((-1)^i cos(i pi/2),i,0,5)",
"33. sum(cos(k pi), k,0,10)",
"34. sum(sin(i pi/3),i,1,5)",
"35. sum(cos(i pi/6),i,1,6)",
"36. sum((-1)^i cos(i pi/2),i,0,5)",
"37. sum( (-1)^(k+1)/k,k,1,n)       @This is called the alternating harmonic sum."
  " There is no simpler formula for it, but for"
  " large n, the value approaches ln 2.  Select"
  " the whole sum and experiment with evaluating"
  " it both to rationals and to a decimal for"
  " various values of n.",
"38. sum(i^3+i+1,i,1,n)",
"39. sum(2-5i,i,1,n)",
"40. sum(sqrt k - sqrt(k-1),k,1,n)",
"41. sum((3+2i)^2,i,1,n)",
"42. sum(i(i+1)(i+2),i,1,n)",
"43. sum(k^2(k^2-k+1),k,1,n)",
"44. sum(1/k - 1/(k+1),k,1,n)",
"45. sum(i/n,i,1,n)",
"46. sum(i^2/n^3,i,1,n)",
"47. sum(i(i-1),i,1,n)",
"48. sum(i^3+i+1,i,1,n)",
"49. sum(i^3+2i^2+i+1,i,1,n)",
"50. sum((2+i/n)(2/n),i,1,n)",
"51. sum(i,i,2,n)",
"52. sum(i^2,i,2,n)",
"53. sum(i^3,i,2,n)",
""
};

/*  6.17.13,  problems read from binomial.mhw */
char *problems130[] = {
"1. (x+2)^3",
"2. (x+2y)^4",
"3. (x-3)^4",
"4. (x-y)^4",
"5. (2a +3b)^4",
"6. (x+2)^5",
"7. (x-5y)^5",
"8. (x+3y)^5",
"9. (3x+y)^5",
"10. (x-2y)^5",
"11. (a^2 + 1)^5",
"12. (3a-2b)^5",
"13. (x+1/2)^5",
"14. (x^2-y)^5",
"15. (u/3 -4u)^5",
"16. (x+3)^6",
"17. (2x+y)^6",
"18. (x-3y)^6",
"19. (2x-y)^6",
"20. (2a-3b)^6",
"21. (x-y^3)^6",
"22. (x-y)^7",
"23. (x-1)^7",
"24. (x-y)^7",
"25. (-2 +x)^7",
"26. (x+y)^8",
"27. (3x+y)^9",
"28. (x+y)^10",
"29. (3x - 7y)^8",
"30. (x^2 +2y)^3",
"31. (x^3 -y^3)^8",
"32. ((a^2)/b - b^3)^4",
"33. (x^2-y^2)^6",
"34. (a + a^(-1))^5",
"35. (2a^2-b^3)^5",
"36. (2/x + x/2)^5",
"37. (x/y +y/x)^4",
"38. (x^2/y + y^2/x)^6",
"39. (x^2 +3x^(-2))^4",
"40. (xy +3y^(-2))^8",
"41. (a^(-2)- b^(-1))^4",
"42. (sqrt x + sqrt y)^5",
"43. (1/sqrt x + sqrt x)^6",
"44. (sqrt c + sqrt d)^7",
"45. (1/sqrt x -2x^2)^7",
"46. (a/sqrt x - x/sqrt a)^6",
"47. (x+y)^6 - (x-y)^6",
"48. (1+a)^7 + (1-a)^7",
"49. (1-sqrt 3)^4 + (1+ sqrt 3)^4",
"50. (1+sqrt 2)^5 - (1- sqrt 2)^5",
"51. (a+b)^8 - (a-b)^8",
"52. (a+b)^8 + (a-b)^8",
"53. (x-2+y)^3",
"54. ((1+h)^3 -1)/h",
"55. ((x+h)^6 - x^6)/h",
"56. (2(x+h)^5 -2x^5)/h",
""
};

/*  6.17.13,  problems read from croots.mhw */
char *problems131[] = {
"1. x^2 = i",
"2. x^2 = -1",
"3. x^2 = -i",
"4. x^2 = -16",
"5. x^2 = -2i",
"6. x^2 = 16i",
"7. x^2 = 4 - 4i sqrt 3",
"8. x^3 = -1",
"9. x^6 = -1",
"10. x^3 = i",
"11. x^4 = i",
"12. x^4 = -81",
"13. x^3 = - 64",
"14. x^3 = 64",
"15. x^3 = 64 i",
"16. x^3 = - 64 i",
"17. x^5 = - 243",
"18. x^4 = -1 - (sqrt 3)i",
"19. x^4 = -1+(sqrt 3)i",
"20. x^3 = -sqrt(3)/2 - i/2",
"21. x^3 = 8 - 8 (sqrt 3)i",
"22. x^4 = -8+8(sqrt 3)i",
"23. x^2 = 3 + 4i",
"24. x^2 = 1+2i",
"25. ix^2 + x - 3 = 0",
"26. x^2 + x - i = 0",
"27. x^2 - x + 1- i = 0",
"28. ix^2 - 2ix +1 = 0",
"29. ix^2 - (2-i)x +1- i = 0",
"30. ix^2 - 3ix + 1 -i = 0",
""
};

/*  6.17.13,  problems read from limpoly.mhw */
char *problems132[] = {
"1. lim(x-> 5, sqrt(5))",
"2. lim(x-> -3, x )",
"3. lim(x-> 5, -2x+15)",
"4. lim(x-> 1/3, 3x-1)",
"5. lim(x-> -3, x^2)",
"6. lim(x-> 5, -2x^2)",
"7. lim(h-> 0, 2h+h^2)",
"8. lim(x-> 1, x^2-2x+1)",
"9. lim(t-> 0, 2 - 4t+t^2)",
"10. lim(x-> -2, x^2-2x-10)",
"11. lim(x-> 3, 5x^2+2x-1)",
"12. lim(x-> -3, 3x^2-x-15)",
"13. lim(x-> 1/4, (3x-1)(x-4))",
"14. lim(x-> 1/2, (x-1)(x+4))",
"15. lim(x-> 6, 8(x-5)(x+5))",
"16. lim(x-> - 3, x^3+21)",
"17. lim(x-> -2, x^3 - 2x^2+4x+8)",
"18. lim(x-> -1, x^3+x^2+7)",
"19. lim(x-> - 1, 3x^2(x-1))",
"20. lim(x-> sqrt 2, (x^2+2)(x-2))",
"21. lim(x-> - 1/3, x^2(6x-1))",
"22. lim(x->2, (x^2-1)(x^2+x))",
"23. lim(x->3, (x^2-x)(x^2+x))",
"24. lim(u-> -2, 3u-u^5)",
"25. lim(u-> -1, u^3-u^5)",
"26. lim(u-> sqrt 3, u^4+2u^3-4u)",
"27. lim(t-> sqrt 5, t^5-3t^3+t-1)",
"28. lim(x-> root(3, 2), -x^6 +3x^3 -9)",
"29. lim(u-> -sqrt 5, u^4+2u^3-u^2)",
"30. lim(x->-2, x^14 + 7x^7 + 2)",
"31. lim(x-> 4, x^7 +3x^4 +19)",
"32. lim(x->2, x^15 + 4x^30)",
"33. lim(x->2, x^14 + 3x^3 + 29)",
"34. lim(x-> 1, x^20-2x^10+1)",
"35. lim(x->2, x^100 + 2x^50 + 1)",
"36. lim(x-> -3/2, (x-4)^10)",
"37. lim(t-> 6, (3t-9)^100)",
"38. lim(x-> 1/2, (4x-1)^50)",
"39. lim(x-> -2, (x^2-2)^6)",
"40. lim(x-> 1, (5x^2-x)^80)",
"41. lim(x-> 2, (x^3-12)^5)",
"42. lim(x-> 1, (x^3+2)^2)",
"43. lim(x-> -1, (x^3+2)^2)",
"44. lim(x-> 1, (3x^2-7x+3)^10)",
"45. lim(x-> -2, -(x^3-1)^4)",
"46. lim(x-> - 3, (x^2 - x+1)^3 )",
"47. lim(t->-2,(t+1)^7(t^2-1))",
"48. lim(t-> 2, (t-1)^3(t^2+1)^2)",
"49. lim(t-> sqrt 3,(2t-1)^7(t^2-1)^3)",
"50. lim(t-> - 1, (t-1)^8(t^2+1))",
""
};

/*  6.17.13,  problems read from limsimpl.mhw */
char *problems133[] = {
"1. lim(x->pi/2, x/3 - 1/7)",
"2. lim(x->-2, (x^2-4)(x-2))",
"3. lim(t->0, t(1+1/t))",
"4. lim(u-> -1, (u^4+1) / (u^3-1))",
"5. lim(x-> -1, (x+1)/(1-x^3))",
"6. lim(x->1, (x-1)/(1-x^3))",
"7. lim(x->0, (1-1/x^2)/(1-1/x))",
"8. lim(x->1,x^2/(x-1) - 1/(x-1))",
"9. lim(t->4, 2t/(t+4)+8/(t+4))",
"10. lim(x->0, (1/(2+x)-1/2) / x)",
"11. lim(x->2, (1/x - 1/2)/(x^2 - 4))",
"12. lim(x->1, (x^2 + x - 2)/(x^2 - 3x + 2))",
"13. lim(x->2,(1/x-1/2)/(x-2))",
"14. lim(h->1/2, 2h/(h + 1/h))",
"15. lim(x->0+, sqrt x - 3)",
"16. lim(x->2-, x sqrt (4-x^2))",
"17. lim(x->2+, sqrt (x^2-4))",
"18. lim(t->4, sqrt t - 1/sqrt t)",
"19. lim(t->2, (3t^3+4t - 5)^(1/3))",
"20. lim(x->3-, x sqrt (9 - x^2))",
"21. lim(x->64, (x^(1/3) - sqrt x)^2)",
"22. lim(x->1, (3x - sqrt (x+1))^(5/3))",
"23. lim(u-> -2, sqrt (u^4-4u+1))",
"24. lim(x->2, (x^2+4)^(-1/3))",
"25. lim(x->1, (sqrt x +1/sqrt x)^5)",
"26. lim(x->8, 2x^(1/3) - 8x^(-2/3))",
"27. lim(x-> -1, sqrt(x^3+2x+7))",
"28. lim(r->3, (r^4-7r+4)^(2/3))",
"29. lim(z->8, z^(2/3)/(z - sqrt (2z)))",
"30. lim(x->1, (x - 1)/(sqrt x - 1))",
"31. lim(x->9, (3 - sqrt x)/(9 - x))",
"32. lim(t->0, (sqrt(2-t) - sqrt 2)/t)",
"33. lim(y->0, (1 - sqrt (1+y))/(3y))",
"34. lim(x->5, (sqrt x - sqrt 5)/(x - 5))",
"35. lim(x->9, (x^2 - 81)/(sqrt x - 3))",
"36. lim(x->-8, 4x^(2/3)/(4 - x^(4/3)))",
"37. lim(t->4, (t^2 - 16)/(2 - sqrt t))",
"38. lim(t->1, (root(3, t) -1)/(t-1))",
"39. lim(x->64, root(3, x + 3 sqrt x))",
"40. lim(t->9, (9 - t)/(3 -sqrt t))",
"41. lim(x->0, (sqrt (x+4) - 2)/x)",
"42. lim(x->9, (sqrt x - 3)/ (x^2 - 81))",
"43. lim(x->16, (x - 16)/(2 - x^(1/4)))",
"44. lim(x->0, ((8 - x)^(1/3) - 2) / x)",
"45. lim(x->3, abs (1 - x))",
"46. lim(x->sqrt 3, abs (x^2 - 8))",
"47. lim(x->4, 3x^2 - 5 sqrt x - 6 abs x)",
"48. lim(x->1, (abs (2x - 4))^(2/3))",
"49. lim(x->4, abs (x/(2 - x)))",
"50. lim(x->0, abs ((x+4)/(x - 2)))",
"51. lim(x-> - 4, (x^2 - 16)/(abs x - 4))",
"52. lim(x->1, (e^x +1)^2)",
"53. lim(x->1, x^3 cos (1/x))",
"54. lim(w->-2, root(3, (4w+3w^3)/(3w+10)))",
""
};

/*  6.17.13,  problems read from difdef1.mhw */
char *problems134[] = {
"1. x^2",
"2. 1/x",
"3. sqrt x",
"4. 2x+3",
"5. -3x",
"6. 4x+1",
"7. x^2 + 2x",
"8. 1/x^2",
"9. 4x^2+1/x^2",
"10. 100-16t^2",
"11. 5y(100-y)",
"12. x^2+1",
"13. x^2-x",
"14. -3x^2+2x",
"15. (4x+3)^2",
"16. x^3",
"17. x^3-2x^2+x-1",
"18. -2x^2",
"19. 5x-x^2",
"20. sqrt(1-x)",
"21. sqrt (3x-1)",
"22. sqrt (2x+1)",
"23. sqrt (t+1)",
"24. sqrt (10-t)",
"25. 2x-3/x",
"26. 1/(2x+1)",
"27. 1/(x+1)",
"28. 1/(5-2u)",
"29. 1/(x^3)",
"30. 1/(x^4)",
"31. 1/x^2",
"32. 1/(x+3)",
"33. x+1+1/x",
"34. 1/sqrt x",
"35. sin x",
"36. cos x",
"37. tan x",
"38. x^3+x",
"39. x^3-4x",
"40. 1-x^3",
"41. x^3/3+x^2/2-5",
"42. 1-x+x^2-x^3",
"43. x^4",
"44. 2x^3+1",
"45. 3x^4 - 1/x",
"46. x^3-4x",
"47. (x+1)/(x-1)",
"48. sqrt(1+3x)",
"49. (1-x)/x^2",
"50. x^3-1/x^2",
"51. 1/x^2+1",
""
};

/*  6.17.13,  problems read from   .mhw */
char *problems135[] = {
"1. x^2 - 1",
"2. 4pi r^2",
"3. -100 x^5",
"4. 3 x^101",
"5. (1/8) t^2 + 20",
"6. (y^5) / 70",
"7. (4/3) pi r^3       @This is the formula for the volume of a sphere of radius r.",
"8. t^2 - 6t + 9",
"9. x^2 -10 x + 100",
"10. (1/2) t^2 + 3t + 2",
"11. 7x^2 -10 x + 10",
"12. 2x^3 - 7",
"13. 7t^3 - 3t^2 + 6",
"14. 4t^3-9t^2 + 6t + 2",
"15. 2t^3 - 9t^2 + 6t + 2",
"16. y^3 - 2y^2 + y - 1",
"17. 1 + x + x^2 + x^3",
"18. x^4-4x+1",
"19. 11 u^5 - 6 u^3 - 8",
"20. 1 - t + t^2 - t^3 + t^5",
"21. x^4/2 - (3/2)x^2 + x",
"22. 7t^3 - 3t^2 + 5",
"23. x^4 + 11x^3 - 9x^2 + x - 1",
"24. x^10 - x^9 - x^8 - 1",
"25. t^(36) + t",
"26. x^4-4x^2-15",
"27. u^6 +4 u^3 - 12",
"28. x^10 - 3x^5 - x - 1",
"29. z(20 - z)       @Multiply out before differentiating",
"30. (2u - 1)(u + 1)       @Multiply out before differentiating",
"31. x^2(x + 3)       @Multiply out before differentiating",
"32. (x^2 - 1)(x + 3)       @Multiply out before differentiating",
"33. (x - 1)(x^2 + 1)",
"34. x^2(x^3 - 4)",
"35. (4t - 3)^2       @Expand the square before differentiating",
"36. (3x + 2)^3       @Expand the cube before differentiating",
"37. (x^2 + 1)^2",
"38. (x^2 - 2x)^2       @Expand the square before differentiating",
"39. 3t (t^2+1)^2       @Although this is not a polynomial, it simplifies to a"
  " polynomial.  Simplify before differentiating.",
"40. sqrt (3x^4)       @Although this is not a polynomial, it simplifies to a"
  " polynomial.  Simplify before differentiating",
"41. sqrt (16x^8)",
"42. 1 - x - (sqrt x)^4       @Although this is not a polynomial, it simplifies to a"
  " polynomial.  Simplify before differentiating.",
"43. (sqrt x - x sqrt x)^2       @Although this is not a polynomial, it simplifies to a"
  " polynomial.  Simplify before differentiating.",
"44. (2sqrt x + x^2 sqrt x)^2",
"45. (x^4+ 2x^3) / x^2",
"46. x^2 (x+1+1/x)       @Although this is not a polynomial, it simplifies to a"
  " polynomial.  Simplify before differentiating.",
"47. (5x^2+2x) / x       @Although this is not a polynomial, it simplifies to a"
  " polynomial.  Simplify before differentiating.",
"48. (x^3+3x) / x       @Although this is not a polynomial, it simplifies to a"
  " polynomial.  Simplify before differentiating.",
"49. (x^8 - 8x^7)(x - 1/x)       @Although this is not a polynomial, it simplifies to a"
  " polynomial.  Simplify before differentiating.",
"50. (x^(3/2) - 3x) / sqrt x       @Although this is not a polynomial, it simplifies to a"
  " polynomial.  Simplify before differentiating.",
  ""
};

/*  6.17.13,  problems read from difrule.mhw */
char *problems136[] = {
"1. 5/x^2",
"2. (2x - 1)(x+1)",
"3. t^(-9)",
"4. x^3 + 1/x",
"5. (1+x^3)/x^3",
"6. 7 t / (1+t^2)",
"7. (x+11) / x^3",
"8. 4u^4 - 1 / 4u^4",
"9. x^3 / (1+x^3)",
"10. (4x - 7)^2",
"11. (x+12) x^3",
"12. (x-1) (x+1)^2",
"13. y(y+1)(y+2)",
"14. 1 / (x - 1)+1 / (x+1)",
"15. 3 / x^2 - 5 / x^3 +7x",
"16. (x^2+x+1)^2",
"17. (x+x^2)(1+x^(-1)+x^(-2))",
"18. (2+1/t)/(t - 1)",
"19. (1 - 1/x) (1+2/x)",
"20. (x^8 - 8x^7)(x+1/x)",
"21. (x+1/x)(x - 1/x)",
"22. (1 - 1/x)(1+1/x^2)",
"23. 1 / (1 - 5/x)",
"24. (1 - 1/x) / (1+2/x)",
"25. 1 / (1+x+x^2+x^3)",
"26. (x^2 - 1) / (x^2+1)",
"27. (1/x - 4/x^3+7/x^4)",
"28. (x^2+x+1) / (x^2 - 1)",
"29. (7x - 1) / (4x+1)",
"30. (x+1) / (x+1)^2",
"31. (x^3+1)^(-1)",
"32. 1 / (a - 5x^(-3))       @Don't be confused by an extra letter in the problem.  Treat it as a constant.",
"33. (5r - 1)^(-2)",
"34. (1 - 1/x) / (x - 3)",
"35. (2+theta^2) / (1 - theta^3)",
"36. 1/ ((x^2+1)(x^2+x+1))",
"37. (1 - x)(2 - x) / (x+3)",
"38. (x+1)(x+2) / ((x - 1)(x - 3))",
"39. (1+u)(1+u^2)^(-1)",
"40. (x^2+x+1)/sqrt x",
"41. t + root(3, t^2)",
"42. sqrt(x) (x^3 - x+1)",
"43. (sqrt x - root (3,x))(1 - root (5,x))",
"44. sqrt t - 1/ sqrt t",
"45. x^(1/2) / (x^2+4)",
"46. x^(1/3) / (1 - x^2)",
"47. (2x+1) / x^(2/3)",
"48. 5t^(1/3) / (t^3+1)",
"49. root (3, u^2) / (5u - 5)",
"50. x^5 - root(5, x)",
"51. x^100 + 50 x + 1",
"52. sqrt t - 1/ sqrt t",
"53. x^4 - root(4, x)",
"54. t sqrt t + 1/(t^2 sqrt t)",
"55. t/(t+c/t)       @Don't be confused by an extra letter in the problem.  Treat it as a constant.",
"56. ax^2 + bx + c       @Don't be confused by extra letters in the problem.  Treat them as constants.",
""
};

/*  6.17.13,  problems read from limtrig.mhw */
char *problems137[] = {
"1. lim(x->pi/2, (sin x) / x)       @The denominator does not go to zero.",
"2. lim(x->pi/4, (tan x)/(4x))       @The denominator does not go to zero.",
"3. lim(x->pi/3,sin x + cos x)",
"4. lim(t->pi/6, sec t tan t)",
"5. lim(x->pi/2, csc^3 x)",
"6. lim(x->pi, x^2 sec x)",
"7. lim(u->pi, sin^2 (2u) + cos^3 (3u))",
"8. lim(x->2, sin (1/x - 1/2))",
"9. lim(x-> 0, x csc x)",
"10. lim(x->0, x sec x)",
"11. lim(t->pi/3, (sqrt 3) sin t - 2t)",
"12. lim(x->0, x^2 sin x)",
"13. lim(t->-3pi,t^3 sin^4 t)",
"14. lim(x->0, (sin x)/(5x))",
"15. lim(t->0,(sin 3t)/t)       @Make a substitution so you can use the formula for $sin(x)/x$.",
"16. lim(t->0, 3t / sin t)       @No substitution is necessary.  Just pull the 3 out.",
"17. lim(x->0, x cot x)       @This can be converted to $x/ tan(x)$",
"18. lim(u->0+, (sin u) / sqrt u)",
"19. lim(x->0, (1/x^2) sin (2x^2))       @Make a substitution so you can use the formula for $sin(x)/x$.",
"20. lim(x->0, x sin (1/x^2))       @Make a substitution so you can use the formula for $sin(x)/x$.",
"21. lim(x->0, sec x + tan x)",
"22. lim(x->0, x csc x)",
"23. lim(x->0, (sin^2 x) / x)       @Make a substitution so you can use the formula for $sin(x)/x$.",
"24. lim(x->0, sin (x^(1/3)) / x^(1/3))       @Make a substitution so you can use the formula for $sin(x)/x$.",
"25. lim(x->0, 3x / tan (5x))       @Multiply numerator and denominator by something to make it $sin (u)/u$.",
"26. lim(t->0, (sin^2 t)/t^2)       @Make a substitution so you can use the formula for $sin(x)/x$.",
"27. lim(x->0, (cos x^2 - 1) / x^2)       @Make a substitution so you can use the formula for $(1-cos u)/u$.",
"28. lim(x->0, sin(2x)/cos x)",
"29. lim(x->0, (2 sin x cos x) / x)       @Pull out the cosine term leaving $sin(x)/x$",
"30. lim(x->0, (sin 4x) / tan 3x)       @Intuitively, when $x$ is small this is about $4x/3x$, so the answer is $4/3$. But it's not so easy to prove it!$",
"31. lim(theta->0, (sin^2 theta)/theta)       @Multiply numerator and denominator by something to create $sin (u)/u$.",
"32. lim(t->0, t^5 / (tan^5(t)))",
"33. lim(t->0, t^3/(tan^3(2t)))",
"34. lim(t-> 0, t^2 cos (1/t))       @You can't work directly with $cos(1/t)$, so make it $cos u$ first",
"35. lim(t-> 0, root (3,t) sin (1/t))       @You can't work directly with $sin(1/t)$, so make it $sin u$ first",
"36. lim(x-> 0, (x^2 cos x) / sin^2 x)       @Simplify a complicated limit like this one by first pulling out any factors with nonzero limits.",
"37. lim(x-> 0, (1 - sec x) / (x sec x))       @The denominator goes to zero, so you must simplify the expression first.",
"38. lim(t-> 0, t sec t csc t)       @Since $csc t$ is undefined at zero, you must simplify first.",
"39. lim(x-> 0, (x cos^2 x + x sin^2 x - x) / tan(x))",
"40. lim(t-> 0, (3t - cot t) / (t+2 cot t))",
"41. lim(u-> 0, (sin u) / (1+cos u))",
"42. lim(x-> 0, (x cos x - x^2) / (2x))",
"43. lim(x-> 0, sqrt(cos(x)) sin (x)/x)",
""
};

/*  6.17.13,  problems read from diftrig.mhw */
char *problems138[] = {
"1. 2cos x - tan x",
"2. sin x + cos x - 1",
"3. 2 cos x - sin x",
"4. sin x + 3cos x - 4",
"5. (2 tan x - csc x)/5",
"6. sin t sec t",
"7. cos x sin x",
"8. csc y sec y",
"9. sin x cos (2x)",
"10. csc x cot x",
"11. (1 - cos x)(1 + cos x)",
"12. 2 cos x - 4 x^2",
"13. x sin x",
"14. x tan x",
"15. x^3 cos x",
"16. (1 - x^2) sin x",
"17. 3 u^(1/3) cos u",
"18. (x + x^2) sin x",
"19. x^(1/2) sin x + x^(-1/2) cos x",
"20. x^2 (sin x) (cot x)",
"21. sin(x) / x",
"22. (1- cos^2 x)/sin x       @Simplify before differentiating",
"23. sin^2 x",
"24. tan^2 x",
"25. cos^3 x",
"26. sin(sqrt x)",
"27. tan(sqrt x)",
"28. sqrt(sin x)",
"29. root(3, sin x)",
"30. sin(cos x)",
"31. (cos x) / x",
"32. (sin x) / (x^2 + 1)",
"33. 1/(2sin x+3)",
"34. 1 / (sin x cot x)",
"35. 1 / (sin x tan x)",
"36. (1 - cos y) / (1 + cos y)",
"37. (cot x) / (1 - tan x)",
"38. (sin x)/(1+cos x)",
"39. (cot theta) / (1 + cot theta)",
"40. (cos t) / sqrt t",
"41. x^3 cos^3 (x)",
"42. csc x sec^2 x",
"43. (sin^2 x) / x^2",
"44. (sin x)/(1-cos^2 x)",
"45. cos (x^2)",
"46. sqrt (1 + tan u)",
"47. sqrt(sec(x))",
"48. cos(sqrt x)",
""
};

/*  6.17.13,  problems read from difchain.mhw */
char *problems139[] = {
"1. (1-6x)^3", //polynomials to a power
"2. (x^3-x)^5",
"3. (x-x^3-x^5)^4",
"4. (x+1/x)^3", //rational functions to a power
"5. (t^(-1)+t^(-2))^4",
"6. (x^3/3+x^2/2+x/1)^(-1)",
"7. ((6x+x^5)^(-1)+x)^2",
"8. (1+(1+x)^3)^4",
"9. (z^2-1/z^2)^6",
"10. ((x+1)/(x-1))^5",
"11. (x/(1+x^2))^7",
"12. sqrt(x^3 - 3x)", //sqrt of a polynomial
"13. sqrt (csc 2s)",
"14. sqrt (6x^2+3)",
"15. sqrt ((3x+2)/(5x-2))", //sqrt of rational function
"16. sqrt (x^3/(x+3))",
"17. (6 sqrt x+3)^3", //rational function of linear sqrt
"18. sqrt (3x+2)/ sqrt (5x-2)",
"19. (sqrt (x^2-1))/x", //rational function of sqrt of rational function
"20. (t - 1/t)^(5/2)", //polynomial to fractional or negative power
"21. (8x-7)^(-5)",
"22. (2x+1/x)^(-6)",
"23. sin (x^2)",
"24. (1/t+1/t^2+1/t^3)^(-4)", //rational function to negative power
"25. tan(3x)-5", //trig function of linear arg
"26. sin (-x) - cos (-x)",
"27. sin(3x) - tan(5x)",
"28. cos x sin(4 x)",
"29. sin^5 x", //power of trig function
"30. tan^8 x",
"31. sin x^5",
"32. (2+sin 2t)^4", //power of trig expression
"33. (tan 2x)^9",
"34. tan^6 (x)",
"35. cos^2 (x^2)", //power of trig function of polynomial
"36. (sin u) cos^2u",
"37. (sec x+tan x)^(-1)",
"38. sqrt (1 + tan 3u)", //sqrt of trig expression
"39. sqrt (sec 2x)",
"40. sin^5 (sqrt x)", //trig power of algebraic
"41. ln (1+cos r)",
"42. e^(x^2-x)",
"43. cosh (sin x)",
"44. ln^3(x^2+7)",
"45. e^ln x",
"46. e^(x^5)",
"47. e^(-sqrt x)",
"48. ln (ln t)",
"49. e^cos x",
"50. e^(-1/x)",
"51. 3^(5x-7)",
"52. cos (sin x)",
"53. sin (cos x)",
"54. sin (1/x - 1)",
"55. sec (cos (sqrt x))",
"56. cos ((cos^2 x - 1) / x^2)",
""
};

/*  6.17.13,  problems read from difrev.mhw */
char *problems140[] = {
"1. x/(6x+4)^(2/3)",
"2. (8x)^(1/3)+(8x+2)^(1/3)",
"3. (x+1)^(-2) (x-5)^(-1)",
"4. sqrt(x^2 + 1)",
"5. x sqrt x",
"6. 1/(x^2+1)",
"7. x/(x^2+1)",
"8. 1/(x^2-1)",
"9. x/(1-x^2)",
"10. sin^3 x + cos^3 x",
"11. (cos^2 x + 2)^(-2)",
"12. (x^2 - cos^2 x)^2",
"13. sin^(-2)x",
"14. ((sin x)/(1+cos x))^2",
"15. (1+cot x)^(-6)",
"16. (sin 5x-cos 5x)^5",
"17. tan(5-6x)^(1/3)",
"18. tan^2(theta) sec^3(theta)",
"19. sin^2(sqrt x)+cos^2(sqrt x)",
"20. sin^2 (theta) + cos^2 (theta)",
"21. 1 + tan^2 (theta)",
"22. 1 - 2 cos^2 (x/2)",
"23. tan^2 (x/2) - sec^2 (x/2)",
"24. cos^2 (x) - sin^2 (x)",
"25. sin (theta+sin theta)",
"26. cos (1+tan 2x)",
"27. (6t^2 + 5)^3 (t^3-7)^4",
"28. sqrt (x+ sqrt (x+ sqrt x))",
"29. e^(sin(x^2+1))",
"30. sin (e^(x^2+1))",
"31. sin(x)/x",
"32. cos(x)/x",
"33. sin(x)/x^2",
"34. sin(x^2)",
"35. cos(x^2)",
"36. e^(sin x)",
""
};