2*w**4 + 5/2*w**h - 4*w + 1/2*w**2 + 2 - 1/2*w**5 = 0.
-2, 1
Suppose -5*s = -10, 0 = 11*a - 15*a + 4*s + 8. Factor -1/2*j**2 - 1/2*j**5 + 5/2*j**3 + 1/2*j**4 - 2 - a*j.
-(j - 2)**2*(j + 1)**3/2
Let j(v) be the first derivative of -1/4*v**3 - 9/8*v**2 + 0*v - 5. Factor j(d).
-3*d*(d + 3)/4
Let w be (-2)/12 + ((-34)/12 - -5). Let s be w*(3 + 55/(-20)). Factor 1 + 1/2*z - s*z**2.
-(z - 2)*(z + 1)/2
Factor -3/5*s**2 - 41772/5 + 708/5*s.
-3*(s - 118)**2/5
Let a(y) be the first derivative of 16 - 6*y + 9/2*y**2 + 20*y**3. Factor a(h).
3*(4*h - 1)*(5*h + 2)
Let z(k) be the second derivative of -k**5/80 - k**4/16 + 25*k**3/24 - 21*k**2/8 + 19*k + 11. Solve z(r) = 0 for r.
-7, 1, 3
Factor 18*t + 52/3*t**2 - 2/3*t**3 + 0.
-2*t*(t - 27)*(t + 1)/3
Let c(p) = -3*p**4 - 8*p**3 - 5*p**2 + 24*p + 34. Let j(g) = -4*g**4 - 9*g**3 - 5*g**2 + 24*g + 33. Let h(o) = -3*c(o) + 2*j(o). Factor h(t).
(t - 2)*(t + 2)*(t + 3)**2
Let -2915 + 843 - 3978 - 43*o**2 + 41*o**2 - 220*o = 0. Calculate o.
-55
Let q(z) be the third derivative of -z**6/72 - z**5/6 - 5*z**4/8 - 4*z**3 + z**2. Let p(i) be the first derivative of q(i). Factor p(r).
-5*(r + 1)*(r + 3)
Let b(s) be the second derivative of -2*s**6/15 + 3*s**4 + 8*s**3/3 - 24*s**2 + 4*s - 110. Determine z so that b(z) = 0.
-2, 1, 3
Suppose 2*v = s + 3, -2*s = -4*v - 5*s - 9. Suppose v = -8*i + 5*i + 6. Factor 2*z**3 - 6*z**2 - 18*z + 9*z + 15*z - i.
2*(z - 1)**3
Suppose 3*z - 8*z = -10*w + 50, -4*z = -4*w + 16. Solve 3/2*d + 0 - 3/4*d**z = 0.
0, 2
Let b = -505 - -505. Let v(x) be the third derivative of b*x**3 + 0*x - 1/30*x**5 + 0 - 1/6*x**4 + 8*x**2. Factor v(y).
-2*y*(y + 2)
Find x, given that -54 + 4*x**2 + 2*x**4 - 161*x + 6 + 121*x + 10*x**3 = 0.
-3, -2, 2
Let r(v) = v**3 + 24*v**2 - 149*v + 23. Let g be r(5). Factor 1/4*y**2 - 1/2*y**g + 1/2*y - 1/4*y**4 + 0.
-y*(y - 1)*(y + 1)*(y + 2)/4
Let v(t) = 43*t**3 + 44*t**2 - 109*t + 19. Let q(w) = 132*w**3 + 132*w**2 - 328*w + 56. Let i(x) = -3*q(x) + 8*v(x). Determine c, given that i(c) = 0.
-2, 2/13, 1
Let p(d) be the first derivative of -2*d**3/27 + 64*d**2/9 + 135. Determine c, given that p(c) = 0.
0, 64
Let a(l) be the third derivative of -l**6/160 + 7*l**4/32 - 3*l**3/4 - 2*l**2 - 200*l. Factor a(p).
-3*(p - 2)*(p - 1)*(p + 3)/4
Let y = -45 - -50. Suppose 3*q + y*z + 5 = -0*q, -3 = -4*q + 3*z. Factor -2/9*m**3 + q + 4/9*m**2 - 2/9*m.
-2*m*(m - 1)**2/9
Let x(f) be the third derivative of -f**9/756 + f**8/140 - f**7/70 + f**6/90 + 2*f**3 + 14*f**2. Let z(h) be the first derivative of x(h). Factor z(r).
-4*r**2*(r - 1)**3
Let v(y) = y**5 + 15*y**4 + 8*y**3 - 6*y**2. Let i(n) = 2*n**5 + 31*n**4 + 16*n**3 - 13*n**2. Let x(l) = 6*i(l) - 13*v(l). Determine s so that x(s) = 0.
-8, -1, 0
Factor -1/2*k**2 - 27/2*k + 7/2*k**3 - 9 - 1/2*k**4.
-(k - 6)*(k - 3)*(k + 1)**2/2
Suppose 18*c + 2506 = -24*c + 2632. Factor -1/2*g**c + 0 - 1/2*g**2 - 1/6*g**4 - 1/6*g.
-g*(g + 1)**3/6
Let b be ((5 - -16)/(6/4))/2. Factor -5*p**4 - 2*p**2 + 40*p - 25*p - 15*p**3 + b*p**2.
-5*p*(p - 1)*(p + 1)*(p + 3)
Suppose -14 = -3*i + 1. Suppose 0 = i*l - 10*l. Find m such that 2*m**3 - 4*m**3 - 5*m + 3*m - 4*m**2 + l*m**3 = 0.
-1, 0
Let q(m) be the second derivative of -m**10/60480 - m**9/840 - 9*m**8/280 - 12*m**7/35 - 43*m**4/12 - m. Let s(l) be the third derivative of q(l). Factor s(z).
-z**2*(z + 12)**3/2
Let s be 2/(-1) - 14/(2 + -4). Solve c - 2*c - c**s - 3*c**3 + 5*c**3 + 0*c**5 = 0 for c.
-1, 0, 1
Let r(y) be the first derivative of 3*y**5/5 - 3*y**3 - 3*y**2 + 13. Factor r(v).
3*v*(v - 2)*(v + 1)**2
Let o(t) = 8*t**2 - 52*t + 160. Let x(f) = 23*f**2 - 156*f + 480. Let h(m) = -11*o(m) + 4*x(m). Factor h(s).
4*(s - 8)*(s - 5)
Let c be 18/(-9) + -5*5/(-12). Let h(l) be the first derivative of 0*l + 2/9*l**3 + 3 - c*l**4 - 1/6*l**2. Factor h(a).
-a*(a - 1)**2/3
Let a(s) be the third derivative of 0 + 0*s + 1/2310*s**7 + 10*s**2 + 1/330*s**5 - 1/330*s**6 + 1/66*s**4 - 1/22*s**3. What is o in a(o) = 0?
-1, 1, 3
Let c(z) be the first derivative of 7 + 0*z + 1/2*z**2 + 1/6*z**3. Determine f so that c(f) = 0.
-2, 0
Let l(s) be the third derivative of s**5/30 + s**4/3 - 5*s**3/3 + 3*s**2 - 14. Factor l(a).
2*(a - 1)*(a + 5)
Let v(y) = -y**3 + 8*y**2 + 25*y - 144. Let a be v(9). Factor 0*z**3 + a - 4/3*z - 2/3*z**4 + 2*z**2.
-2*z*(z - 1)**2*(z + 2)/3
Let h = -835/4 + 209. Factor 4 + h*d**2 - 2*d.
(d - 4)**2/4
Let m(o) be the first derivative of 0*o - 4/5*o**3 - 17 + 9/5*o**2 + 1/10*o**4. Factor m(p).
2*p*(p - 3)**2/5
What is p in 22*p**3 - 7*p**3 - 30*p**2 - 11*p**3 - 39 - 81*p - 15*p**2 - 7*p**3 = 0?
-13, -1
Let l = 21 - 19. Let i = 4/31 - -23/62. Solve -1/4 + 1/4*z + i*z**l = 0.
-1, 1/2
Let b be (-4)/8*-8 - 3. Suppose -b - 1/2*p + p**2 + 1/2*p**3 = 0. What is p?
-2, -1, 1
Let w be -4 + 119/(-34)*100/(-77). Factor 2/11*b**3 - 2/11*b + 6/11 - w*b**2.
2*(b - 3)*(b - 1)*(b + 1)/11
Let u = -36 + 36. Suppose 0 = -4*h - 5*q + 3, 3*h + 5*q = -u*q + 1. Factor -2*d**2 - 3*d**2 + 2*d + 7*d**h.
2*d*(d + 1)
Let p(i) = -i**3 + 4*i**2 + 8*i - 11. Let n be p(5). Factor -6*y**4 - 8*y**2 + 6*y + 0*y**n + 23*y**2 + 3*y**3.
-3*y*(y - 2)*(y + 1)*(2*y + 1)
Let y be (-8)/24*0/(-4). Let j(b) be the third derivative of 1/180*b**5 + y - 1/120*b**6 - 4*b**2 + 1/630*b**7 + 0*b - 1/9*b**3 + 1/24*b**4. Factor j(f).
(f - 2)*(f - 1)**2*(f + 1)/3
Let i(y) be the third derivative of -y**7/210 - y**6/120 + y**5/20 + y**4/24 - y**3/3 - 147*y**2. Factor i(v).
-(v - 1)**2*(v + 1)*(v + 2)
Let c(i) = -i**2 + 14*i + 3. Let v be c(14). What is z in 5*z**4 - 30*z + 15*z**2 - 15*z**v - 24*z + 49*z = 0?
0, 1
Suppose -2*r = -8 - 0. Let 9 - 2*p**2 + 6*p + r*p**2 - 5 = 0. Calculate p.
-2, -1
Let c be 2/1 + 8/(-6). Let v(i) = -8*i + 83. Let r be v(10). Suppose -4/3 + c*j - 2/3*j**4 + 2*j**2 - 2/3*j**r = 0. What is j?
-2, -1, 1
Determine p, given that 0 + 729/2*p - 27*p**2 + 1/2*p**3 = 0.
0, 27
Let s(m) be the third derivative of 1/1980*m**6 - 1/330*m**5 + 0*m**4 + 0*m + 8*m**2 + 1/6*m**3 + 0. Let u(k) be the first derivative of s(k). Solve u(t) = 0.
0, 2
Let 92/7 + 1/7*t**3 + 4*t**2 + 17*t = 0. Calculate t.
-23, -4, -1
Let o(y) = y**3 - 15*y**2 - 15*y - 16. Let u be o(16). Let 0*h**3 - 3*h**3 - 3*h**4 + u*h**4 - 3*h**5 - 3*h**4 = 0. Calculate h.
-1, 0
Let p(u) be the second derivative of 9*u**4/4 + u**3 + u**2/6 + 2*u. Factor p(d).
(9*d + 1)**2/3
Let k(p) be the second derivative of p**5/330 + p**4/132 - 2*p**3/33 - 17*p**2 - 34*p. Let q(d) be the first derivative of k(d). Factor q(m).
2*(m - 1)*(m + 2)/11
Let c(z) = 4*z**2 + 76*z - 343. Let g(h) = h**2 + 25*h - 114. Let v(r) = -6*c(r) + 21*g(r). Factor v(f).
-3*(f - 16)*(f - 7)
Let 3*r**2 + 24 - 16*r + 20*r + 24*r + r**2 = 0. Calculate r.
-6, -1
Let h(g) = -3*g**3 - 21*g**2 + 138*g + 12. Let u(r) = -r**2 - r - 1. Let b(w) = -h(w) - 12*u(w). Factor b(n).
3*n*(n - 3)*(n + 14)
Factor 0 - 44/3*a - 2/9*a**2.
-2*a*(a + 66)/9
Suppose 2*y**2 - 3*y**4 - 6*y**5 + 2*y**5 + 3*y**5 + y**3 + 24*y**2 - 23*y**2 = 0. What is y?
-3, -1, 0, 1
Let t be ((-4)/(-6))/(10/285). Let d = t + -16. Factor 0 - 4*s**2 + s**2 + d*s - 12*s + 12.
-3*(s - 1)*(s + 4)
Let u(o) = -6*o**2 + 168*o - 1176. Let n(d) = 9*d**2 - 252*d + 1764. Let r(v) = 5*n(v) + 7*u(v). Factor r(j).
3*(j - 14)**2
Let a be (4/8)/(-3 - (-95)/30). Let z(m) be the first derivative of 0*m + 5 + 1/6*m**2 - 1/9*m**a. Suppose z(k) = 0. Calculate k.
0, 1
Let y = -366 + 366. Let g(q) be the second derivative of 1/48*q**4 + 0 - 1/12*q**3 + y*q**2 - 9*q. Let g(z) = 0. Calculate z.
0, 2
Let o(n) be the second derivative of -1/36*n**4 + 1/3*n**3 - 4/3*n**2 + 35*n + 0. Determine b so that o(b) = 0.
2, 4
Suppose -2*g + 26 = 3*k - 6*g, 0 = -2*k - 4*g - 16. Find b, given that -5/2*b - 1/2*b**k - 2 = 0.
-4, -1
Let h(t) be the second derivative of t**6/720 - t**5/72 + t**4/24 + 25*t**2/2 + 44*t. Let p(w) be the first derivative of h(w). Find r such that p(r) = 0.
0, 2, 3
Let p(v) be the second derivative of 0*v**2 - 3*v - 1/30*v**4 + 0 + 0*v**3. Find y, given that p(y) = 0.
0
Find d, given that 468*d**3 + 9 - 20*d**2 - 3*d - 462*d**3 + 2*d**2 - 3*d**5 + 9*d**4 = 0.
-1, 1, 3
Factor -18*b**3 - 38*b**2 - 3*b**4 + 123*b**2 - 80*b**3 - 57*b + 26*b**2 + 47*b**3.
-3*b*(b - 1)**2*(b + 19)
Suppose 1 = 4*u - 7. Suppose 13 = -u*p - 5*o, -o + 1 = 6*p - 2*p. Suppose p - 21*w + w**2 - 