*w**f.
2*(w + 1)**2
Let y be (-5 - -7) + 0 + -86. Let q be (-34)/y - (-9)/54. Solve 0 + q*z**4 + 20/7*z**2 - 16/7*z**3 - 8/7*z = 0 for z.
0, 1, 2
Suppose 25 + 1 = 2*y - 4*b, 4*y = -4*b + 4. Let k(a) be the first derivative of -2/3*a**y - 1/2*a**4 + 4/9*a**3 + 0*a**2 + 0*a - 3. Factor k(s).
-2*s**2*(s + 1)*(5*s - 2)/3
Let m(u) = 0 - 2 + 3 + u - 4. Let v be m(5). Factor 3*a**4 - 1 - 8*a**v + 6*a**2 - 3*a + 2*a**3 + 2*a**5 - a**5.
(a - 1)*(a + 1)**4
Let z(o) be the first derivative of -o**7/420 + o**6/180 + o**5/6 + 2*o**4/3 + 8*o**3/3 + o**2/2 - 44. Let l(q) be the third derivative of z(q). Factor l(j).
-2*(j - 4)*(j + 1)*(j + 2)
Suppose -3*z + 5*p = 10, -4*z + 15*p = 11*p + 8. Factor -c**2 + z - 1/2*c**3 + 0*c.
-c**2*(c + 2)/2
Let t(n) = 3*n - 3. Let q be t(1). Suppose q = 4*v - 5*g - 12, 0 = 5*v - g - 15. Determine o, given that 6/7*o - 2/7*o**v + 0*o**2 - 4/7 = 0.
-2, 1
Solve -62*p**4 - 15*p**5 - 231*p**2 + 66 + 227*p**2 - 130*p + 132*p**3 + 13*p**5 = 0 for p.
-33, -1, 1
Let s(d) be the first derivative of -3*d**4/4 + 11*d**3 + 18*d**2 - 209. Find f, given that s(f) = 0.
-1, 0, 12
Let c = 64 - 62. Factor -16*h - 3*h**3 - 9*h**2 - 3*h**c + 8*h**3 - h**3.
4*h*(h - 4)*(h + 1)
Let r(v) be the first derivative of -v**6/2 + 33*v**5/5 - 69*v**4/4 - 47*v**3 + 36*v**2 + 108*v - 36. Let r(s) = 0. What is s?
-1, 1, 6
Factor -14/5*r**2 + 26/5 - 1/5*r**3 - 11/5*r.
-(r - 1)*(r + 2)*(r + 13)/5
Suppose 2*j + 2 = -0, 3*l = 4*j + 34. Let u be l/(-15)*48*-1. Find c such that -3*c**3 + 34 - 3*c**2 + 3*c + u - 63 = 0.
-1, 1
Factor -13*m - 6*m + 4*m**2 - m + 21 + 3.
4*(m - 3)*(m - 2)
Let v(o) = 16*o**5 + 5*o**4 - 25*o**3 + 5*o**2 + 14*o + 5. Let q(z) = 9*z**5 + 3*z**4 - 12*z**3 + 3*z**2 + 6*z + 3. Let a(r) = -5*q(r) + 3*v(r). Solve a(p) = 0.
-2, -1, 0, 1, 2
Let f(k) be the first derivative of -k**4/12 + 4*k**3/9 - 2*k**2/3 + 67. Factor f(b).
-b*(b - 2)**2/3
Let w(a) be the second derivative of a**6/105 + a**5/5 - 5*a**4/14 - 3*a + 12. Factor w(r).
2*r**2*(r - 1)*(r + 15)/7
Let h(i) be the second derivative of 5*i**4/12 + 5*i**3 + 3*i - 35. Factor h(m).
5*m*(m + 6)
Find g, given that -198*g + 734*g - 956*g**2 - 7*g**5 + 987*g**3 - 287*g**3 + 7*g**5 - 96 - 196*g**4 + 12*g**5 = 0.
1/3, 1, 2, 12
Let l(z) be the third derivative of 1/3*z**3 + 0*z - 1/30*z**6 + 0 + 0*z**5 + 1/6*z**4 - 10*z**2 - 1/105*z**7. Solve l(q) = 0 for q.
-1, 1
Suppose 5*d - 3*b - 26 = 0, -5*d - 11 + 41 = -5*b. Let p = -1/10155 + 10157/20310. Suppose 0 - p*f**5 + f**3 - 1/2*f + 0*f**2 + 0*f**d = 0. Calculate f.
-1, 0, 1
Let v = 86 - 84. Factor -v*q**3 - 16 + 0*q**3 + 0*q**3 - 12*q + 3*q**3.
(q - 4)*(q + 2)**2
Let k(q) be the third derivative of q**7/525 - q**6/60 + 7*q**5/150 - q**4/20 + 343*q**2. Suppose k(n) = 0. Calculate n.
0, 1, 3
Let y be 1 - (-1)/(3 + -2). Let j be 26/(-60) + (-1170)/(-75) + -15. Suppose 1/3 + 1/6*o - j*o**y = 0. Calculate o.
-1, 2
Let n(q) be the first derivative of -1/4*q**6 - 285*q**2 - 291/8*q**4 - 139*q**3 - 300*q - 24/5*q**5 - 20. Find j, given that n(j) = 0.
-5, -2
Let d be -9 + 4 - (-99)/18. Let i(g) be the first derivative of -1/8*g**4 + d*g**2 + 6 + 0*g + 1/6*g**3. Factor i(v).
-v*(v - 2)*(v + 1)/2
Let z(r) be the second derivative of 9*r - 1/16*r**3 + 1/32*r**4 + 1/16*r**2 + 0 - 1/160*r**5. Suppose z(w) = 0. What is w?
1
Factor -22/15*s**4 - 32/15 - 146/15*s**2 + 2/15*s**5 + 112/15*s + 86/15*s**3.
2*(s - 4)**2*(s - 1)**3/15
Let v = -675 + 679. Let n(y) be the second derivative of 1/50*y**5 - 1/15*y**v + 0*y**2 + 0 + 1/15*y**3 - 3*y. What is t in n(t) = 0?
0, 1
Let g = -16120/21 - -768. Let k(y) be the first derivative of -5/7*y**2 + 1 + 2/7*y + g*y**3. Suppose k(m) = 0. Calculate m.
1/4, 1
Factor 36/7*f + 1/7*f**2 + 324/7.
(f + 18)**2/7
Let h(z) be the third derivative of z**7/16380 - z**5/780 + 19*z**4/24 - 11*z**2. Let u(q) be the second derivative of h(q). Find t, given that u(t) = 0.
-1, 1
Let c = -1/329 - -661/987. Let n(z) be the first derivative of 6*z + c*z**3 - 4*z**2 - 1. Factor n(h).
2*(h - 3)*(h - 1)
Let x be (0/(-2))/((-16)/(-64)*-8). Let i(t) be the third derivative of -1/4*t**3 + 1/16*t**4 + 11*t**2 + 0*t + x - 1/160*t**5. Find f such that i(f) = 0.
2
Let u(y) be the first derivative of y**3/3 + 19*y**2/2 - 20*y + 546. Factor u(p).
(p - 1)*(p + 20)
Let s be 8/12*(-6)/(-2). Suppose -d**s - 711*d + 711*d = 0. Calculate d.
0
Suppose 0 = -6*v + 5*v - 25. Let r = v + 28. What is m in 0 + 0*m - 1/2*m**4 - 1/2*m**2 + m**r = 0?
0, 1
Let k(o) = o**3 - 7*o**2 + 9*o - 2. Let z(p) = 2*p**2 + 2*p + 2. Let w be z(-2). Let l be k(w). Factor -l*f + 17*f + f**5 + 1 - 2*f**3 - 1.
f*(f - 1)**2*(f + 1)**2
Let l(u) be the first derivative of -5*u**3/3 + 15*u**2 - 45*u + 35. Find g, given that l(g) = 0.
3
Let c(i) be the third derivative of -7*i**9/144 + 3*i**8/80 + 3*i**7/35 + i**6/30 - 5*i**3/2 + 2*i**2. Let v(m) be the first derivative of c(m). Factor v(q).
-3*q**2*(q - 1)*(7*q + 2)**2
Let c = 369/556 - -12/139. Factor -3/4 - 3/4*m**3 + c*m**2 + 3/4*m.
-3*(m - 1)**2*(m + 1)/4
Let v = 78805/6 - 13134. Determine d, given that 0 - 1/3*d**2 - v*d = 0.
-1/2, 0
Suppose -j + 6 - 4 = 0. Suppose j*k - 4 = k. Factor -5*d**4 - 7*d**5 - 3*d**k + 8*d**3 + 9*d**5.
2*d**3*(d - 2)**2
Find p such that -10 - 1 + 0*p**2 + 12*p**2 + 3*p**3 + 2 - 3 - 3*p = 0.
-4, -1, 1
Suppose -5*h + 3*o + 68 + 7 = 0, -h - 13 = 5*o. Let f = 413/705 + 2/141. Let 0 - 21/5*k**4 + 54/5*k**3 + 24/5*k - h*k**2 + f*k**5 = 0. Calculate k.
0, 1, 2
Factor -1/3*u**2 - 19/3*u - 6.
-(u + 1)*(u + 18)/3
Determine j, given that -3*j**3 + 50*j**2 - 51*j**2 + 2 - 4*j + 7*j + 5*j**4 - 6*j**4 = 0.
-2, -1, 1
Let l(q) be the third derivative of 1/600*q**5 - 1/5*q**3 + 0*q + 0 - 11/240*q**4 - 16*q**2. Factor l(s).
(s - 12)*(s + 1)/10
Suppose 3*u + 2*u - 25 = 0. Suppose 0 = 3*s - u*b - 11 - 1, 2*b - 4 = -s. Determine t, given that t - 12*t**2 + 16*t**4 + 16*t**3 - 13*t + 4*t + s = 0.
-1, 1/2
Let r(x) = x + 6 - x**2 + 0 - 9*x - 2. Let m be r(-8). Suppose 4*p + p**2 - m*p = 0. What is p?
0
Let l(d) be the first derivative of -d**4 + 32*d**3/3 - 40*d**2 + 64*d + 71. Factor l(z).
-4*(z - 4)*(z - 2)**2
Suppose c - 4*n - 3 - 3 = 0, 4*n = -4. Let l = 91/57 + -5/19. Factor 0*f + l*f**3 + 0 + 0*f**c - 20/3*f**4 + 16/3*f**5.
4*f**3*(f - 1)*(4*f - 1)/3
Let h(s) = 2*s**2 + 34*s + 35. Let x be h(-16). Factor -30*r - 27*r**x - 68*r**4 - 2*r + 64*r**4 - 48*r**2 + 3*r**3.
-4*r*(r + 2)**3
Suppose -b + 9 = 5. Let v(c) be the first derivative of 0*c - c**3 + 1/5*c**5 + 0*c**2 + 1/2*c**b + 1. Find a such that v(a) = 0.
-3, 0, 1
Let c be 3 - 194/18 - -8. Let b(k) be the second derivative of -4/3*k**2 - c*k**3 + 1/12*k**5 + 0 + 1/90*k**6 + 1/6*k**4 - 5*k. Factor b(r).
(r - 1)*(r + 2)**3/3
Let g be 10/(-12)*1/((-30)/18). Let z(h) be the first derivative of g*h + 5/8*h**2 + 1/6*h**3 - 9. Factor z(k).
(k + 2)*(2*k + 1)/4
Let n(b) be the second derivative of b**5/20 + b**4/6 + b**3/3 + 3*b**2/2 + b. Let s be n(0). Find a such that 5/3*a**s + 0 - 2/3*a - a**2 = 0.
-2/5, 0, 1
Let u(z) be the third derivative of -z**7/945 + 11*z**6/540 - 11*z**5/135 - 5*z**4/9 + 8*z**3/3 + 5*z**2 + 15. Determine g, given that u(g) = 0.
-2, 1, 6
Suppose -3*x - 52 = -2*b - 5*x, 4*b + 2*x - 108 = 0. Let k = b + -26. Factor 0*m**2 + 8*m**k + 8 - 4*m + 24*m.
4*(m + 2)*(2*m + 1)
Suppose 0 = -3*d - 5*u - 4, 21*d + 6 = 25*d + u. Let t(g) be the first derivative of -1/28*g**4 + 2/7*g - 9 + 1/14*g**d - 2/21*g**3. Factor t(r).
-(r - 1)*(r + 1)*(r + 2)/7
Suppose 43*h - 31*h**3 + 54*h**2 + 7*h**3 - 16*h**4 + 28 + 43*h + 2*h**5 + 8 - 10*h**2 = 0. Calculate h.
-1, 2, 9
Let a(f) be the first derivative of -f**5/180 - f**4/72 - f**2/2 - 15. Let t(n) be the second derivative of a(n). Suppose t(p) = 0. What is p?
-1, 0
Let s(a) be the second derivative of -a**5/5 + 13*a**4/3 - 70*a**3/3 - 98*a**2 + 83*a + 1. Factor s(n).
-4*(n - 7)**2*(n + 1)
Determine t so that 3 - 60*t**2 - 2*t - 6 + 2*t**3 + 63 + 0*t**3 = 0.
-1, 1, 30
Let q be ((-25)/15)/((-3)/(-171)). Let u be 76/q*10/(-4). Factor 2*t - 3 - 1/3*t**u.
-(t - 3)**2/3
Let y be (-8)/2 + (-10 - (0 - -7)). Let k be 2 - y/(-6) - (-75)/18. Solve 0 + 4/3*f**2 + 5/3*f**4 + 0*f + 1/3*f**5 + k*f**3 = 0 for f.
-2, -1, 0
Let v(c) = 2*c**3 - c**2 + c. Let y be v(1). Factor -4*t**5 - 4*t**2 + 7*t**2 + 5*t**y + 9*t**4 + 9*t**4 - 24*t**3.
-2*t**2*(t -