+ 0*k**2 + 2/11*k**3.
2*k*(k - 1)*(k + 1)/11
Let b = 47 - 45. Factor 59*d**5 - 12*d**4 - 20*d + 16*d**3 + 8*d**b - 4*d**4 - 55*d**5 + 8.
4*(d - 2)*(d - 1)**3*(d + 1)
Let p = 31 + -27. Let w(c) = 5*c**2 - 5*c - 7. Let a(o) = 4*o**2 - 4*o - 6. Let f(s) = p*w(s) - 6*a(s). Solve f(i) = 0 for i.
-1, 2
Factor 559*k**3 - 274*k**4 + 45*k**4 - 186*k**4 + 97*k**4 - 9*k**5 - 3259*k**3 + 1944*k**2.
-3*k**2*(k + 18)**2*(3*k - 2)
Let a(n) = -5*n**4 + 29*n**3 + 73*n**2 + 3*n - 100. Let q(c) = -c**4 + c**3 + c**2 - c. Let u(d) = -2*a(d) + 14*q(d). Factor u(k).
-4*(k - 1)*(k + 2)*(k + 5)**2
Let f(k) be the first derivative of -k**6/480 - 3*k**5/160 + k**4/8 - 14*k**3/3 + 17. Let h(n) be the third derivative of f(n). Factor h(r).
-3*(r - 1)*(r + 4)/4
Let b(f) be the first derivative of -2/9*f**6 - 4/9*f**3 + 16 + 4/15*f**5 + 0*f + 1/3*f**4 + 0*f**2. Factor b(a).
-4*a**2*(a - 1)**2*(a + 1)/3
Let k(j) be the second derivative of j**6/165 + j**5/22 + 3*j**4/22 + 7*j**3/33 + 2*j**2/11 + 28*j. Factor k(c).
2*(c + 1)**3*(c + 2)/11
Factor 3/5*h**2 + 3 + 18/5*h.
3*(h + 1)*(h + 5)/5
Let y = 1894/1443 - -10/481. Let f(j) = j**3 + 6*j**2. Let s be f(-6). Factor 28/3*o**2 - 49/3*o**3 + s - y*o.
-o*(7*o - 2)**2/3
Solve -12*y**2 - 384/7 - 372/7*y + 3/7*y**3 = 0 for y.
-2, 32
Let -189/4*t**2 + 729/4*t - 405/2 + 3/4*t**4 + 3/4*t**3 = 0. Calculate t.
-10, 3
Let v(m) = -8*m**4 - 14*m**3 - 26*m**2 + 30*m + 6. Let c(j) = -6*j**4 - 13*j**3 - 25*j**2 + 29*j + 5. Let r(b) = 6*c(b) - 5*v(b). Factor r(g).
4*g*(g - 3)*(g - 1)*(g + 2)
Let x(w) be the first derivative of 2*w**5/5 + 4*w**4 + 4*w**3 - 8*w**2 - 14*w + 80. Factor x(q).
2*(q - 1)*(q + 1)**2*(q + 7)
Let o = -2/37 + 109/1332. Let s(q) be the second derivative of 0*q**2 + o*q**4 + 13*q + 1/18*q**3 + 0. Factor s(d).
d*(d + 1)/3
Let u be 36/4 + 0 + -1. Let s(d) = 2*d**2 - 2*d. Let g be s(2). Let 2 + z**3 + g - u + 0 - z + 2*z**2 = 0. Calculate z.
-2, -1, 1
Let 5*t**4 - 5/4*t**5 + 5*t - 25/2*t**2 - 5/4*t**3 + 10 = 0. Calculate t.
-1, 2
Let b be ((-3)/4)/(51/119*-21). Let c(r) be the third derivative of -1/6*r**3 + 7*r**2 + 0*r**5 + 0*r + 0 - 1/60*r**6 + b*r**4 + 1/210*r**7. Factor c(z).
(z - 1)**3*(z + 1)
Let 1/2*r**3 - 5/2*r + 3 - r**2 = 0. Calculate r.
-2, 1, 3
Let b be 11/5*(-22)/220*-10 - 2. Determine d, given that b - 1/5*d**4 + 2/5*d + 0*d**2 - 2/5*d**3 = 0.
-1, 1
Let a(c) be the second derivative of -c**7/672 + c**6/360 + c**5/480 + 7*c**3/6 + 23*c. Let n(u) be the second derivative of a(u). Let n(o) = 0. Calculate o.
-1/5, 0, 1
Let y be 4/(-7) + 316/14. Suppose i - 2*z = y, 4*i + 3*z = z + 78. Factor -i*k**2 + 8*k**2 - 2*k + 15*k**2 - k**3.
-k*(k - 2)*(k - 1)
Let y be (-340)/(-510) - 4/24. Find k such that -2 - y*k**2 + 5/2*k = 0.
1, 4
Let b(i) = -i**3 + 3*i**2 - 3*i + 1. Let w be b(1). Suppose -5*r - 4*c + 24 - 2 = 0, 4*r - 2*c - 2 = w. Factor 28/3*o**3 + 8/3*o**4 + 25/6*o**r + 0 + 1/2*o.
o*(o + 3)*(4*o + 1)**2/6
Let g(b) be the third derivative of -b**7/420 - b**6/180 + 7*b**3/2 - 50*b**2. Let n(c) be the first derivative of g(c). Solve n(p) = 0.
-1, 0
Let x(i) be the first derivative of i**9/1008 + 9*i**8/560 - 3*i**7/40 + 11*i**6/120 - i**3 + 11*i - 9. Let b(g) be the third derivative of x(g). Factor b(l).
3*l**2*(l - 1)**2*(l + 11)
Let q(z) = -324*z**3 - 284*z**2 + 48*z + 60. Let v(j) = 324*j**3 + 285*j**2 - 48*j - 61. Let t(n) = -3*q(n) - 4*v(n). Factor t(b).
-4*(3*b + 2)**2*(9*b - 4)
Let s(v) = v**4 + 5*v**3 - 13*v**2 + 38*v - 10. Let y(t) = -t**4 - 7*t**3 + 14*t**2 - 36*t + 12. Let x(c) = -6*s(c) - 5*y(c). Factor x(j).
-j*(j - 4)**2*(j + 3)
Let s(w) be the second derivative of -w**9/15120 - w**8/2240 - 5*w**4/4 - 5*w. Let y(m) be the third derivative of s(m). Solve y(c) = 0 for c.
-3, 0
What is x in -42/5 + 12/5*x**2 - 22/5*x = 0?
-7/6, 3
Let f(b) = -20*b**2 - 675*b + 150. Let o(h) = -21*h**2 - 679*h + 148. Let q(t) = -4*f(t) + 5*o(t). Factor q(j).
-5*(j + 28)*(5*j - 1)
Let q(z) be the third derivative of z**6/16 - 21*z**5/10 - 107*z**4/16 - 9*z**3/2 + 35*z**2 + 6*z. Solve q(t) = 0 for t.
-1, -1/5, 18
Let h(o) = o**2 - 15*o + 4. Let g be h(15). Suppose -g*u**2 + u - 16 + 9*u + 2*u + 4*u = 0. What is u?
2
Let w(o) = 10*o**4 - 401*o**3 + 264*o**2 - 46*o + 2. Let x(h) = -h**4 - h**3 + h**2 + 2*h - 2. Let b(t) = w(t) + x(t). Factor b(p).
p*(p - 44)*(3*p - 1)**2
Let g(u) be the first derivative of u**3/3 - 45*u**2/2 - 5. Factor g(f).
f*(f - 45)
Let g = -11 + 5. Let m be ((-8)/(-10))/(g/(-30)). Suppose 4*a**m + 14*a**5 - 14*a**3 + a**2 - 4*a**2 - a**2 = 0. Calculate a.
-1, -2/7, 0, 1
Let t be (-8)/(-100) + 4/(-50). Let d(l) be the third derivative of 1/10*l**4 - 4/15*l**3 + 1/600*l**6 - 1/50*l**5 + t + 0*l - 2*l**2. Solve d(y) = 0 for y.
2
Let b be 156/(-32) - (-14 - -9). Let a(z) be the third derivative of -1/6*z**3 - 1/120*z**6 + 0 - 1/20*z**5 + 6*z**2 + 0*z - b*z**4. Let a(p) = 0. Calculate p.
-1
Let j(l) be the first derivative of 0*l - 2/21*l**3 + 34 + 5/7*l**2. Factor j(g).
-2*g*(g - 5)/7
Let o(g) = 19*g**2 - 3. Let c be o(-1). Suppose 0 = -c*m - 3*m. What is p in 4/5*p**3 + 0 + m*p**2 + 2/5*p**5 - 6/5*p**4 + 0*p = 0?
0, 1, 2
Let w be (-22)/(-4)*(0 + -2). Let n(y) = -y**2 - 11*y + 2. Let p be n(w). Factor -6/5 - 9/5*j + 3/5*j**4 + 9/5*j**3 + 3/5*j**p.
3*(j - 1)*(j + 1)**2*(j + 2)/5
Let 3/4*p + 1/4*p**3 + 0 + p**2 = 0. What is p?
-3, -1, 0
Let k be ((-1043)/147 + 7)/((-16)/112). Factor -2000/3 + 200*w - 20*w**2 + k*w**3.
2*(w - 10)**3/3
Factor -7/3*a**2 + 7/3 + 1/3*a**3 - 1/3*a.
(a - 7)*(a - 1)*(a + 1)/3
Let x be ((-198900)/289)/(-26) - 26. Factor 6/17 - x*w + 2/17*w**2.
2*(w - 3)*(w - 1)/17
Let s(g) be the second derivative of 13*g**5/10 - 25*g**4/6 - 41*g**3/3 - 3*g**2 - 111*g. Find u such that s(u) = 0.
-1, -1/13, 3
Let f(n) be the third derivative of 30*n**2 + 0 + 4/21*n**3 + 3/70*n**5 + 0*n - 5/21*n**4. Factor f(d).
2*(d - 2)*(9*d - 2)/7
Let i(l) be the second derivative of -4*l**3 + 3/2*l**4 + 0 + 4*l**2 + 10*l. Factor i(m).
2*(3*m - 2)**2
Let z(a) be the second derivative of a**6/18 + a**5/60 - 5*a**4/36 - a**3/18 + 4*a - 7. Suppose z(j) = 0. Calculate j.
-1, -1/5, 0, 1
Let s(r) be the first derivative of -3*r**5 + 9*r**4/2 + 9*r**3 - 3*r**2 + 48. Determine a, given that s(a) = 0.
-1, 0, 1/5, 2
Let n = 2823/11 + -14104/55. What is c in -2/5*c**2 + 0 - 1/5*c**3 + n*c**4 + 0*c = 0?
-1, 0, 2
Let p(v) be the third derivative of 1/60*v**5 + 1/3*v**4 + 0*v + 7/6*v**3 + 3*v**2 + 0. Find j, given that p(j) = 0.
-7, -1
Let b(z) = z**3 - 8*z**2 + 2*z - 6. Let w be b(8). Let p = w + -8. Factor c**2 + 4*c**p - c**2 + 9*c - 5*c - 8.
4*(c - 1)*(c + 2)
Suppose -46 = -3*c + 5*n, -3*n = -c - 2*n + 14. Let c*u - 10*u - 4*u**2 + 4 - 2*u**2 + 4*u**2 = 0. What is u?
-1, 2
Let r = 315 - 315. Let b(k) be the third derivative of 1/14*k**7 - 6*k**2 + r + 0*k**4 + 0*k**3 - 7/40*k**6 + 0*k + 1/10*k**5. Factor b(s).
3*s**2*(s - 1)*(5*s - 2)
Suppose -16*x - 20 = 28. Let z be (2 - -1)*x*20/(-495). Suppose 0*c + 2/11*c**4 - z*c**3 + 0 + 0*c**2 = 0. Calculate c.
0, 2
Let a(c) = c**3 - 6*c**2 - 16*c + 96. Let q be a(6). Let u(p) be the first derivative of 5 - 2/7*p**2 + q*p + 2/7*p**3 - 1/14*p**4. Let u(m) = 0. Calculate m.
0, 1, 2
Let o(y) be the first derivative of 9*y**4/2 + 8*y**3/3 - 9*y**2 - 8*y - 107. Find x such that o(x) = 0.
-1, -4/9, 1
Let r(v) be the second derivative of 0 - 18*v + 0*v**2 + 0*v**3 - 1/30*v**5 + 1/9*v**4. Factor r(u).
-2*u**2*(u - 2)/3
Let q(s) be the third derivative of -s**7/14 + s**6/24 + 5*s**5/12 - 5*s**4/24 - 5*s**3/3 + 84*s**2. Solve q(d) = 0 for d.
-1, -2/3, 1
Let r = 2056 - 10279/5. Factor j**4 - 13/5*j**3 + r*j - 2/5 + 9/5*j**2.
(j - 1)**3*(5*j + 2)/5
Factor -34/5*b**4 + 0*b**3 + 0*b + 0 + 0*b**2 + 2/5*b**5.
2*b**4*(b - 17)/5
Let w(y) be the first derivative of -2*y**2 + 6*y - 38. Let i be w(1). Find s such that 3/8 + 0*s - 3/8*s**i = 0.
-1, 1
Let s(a) be the second derivative of a**4/12 + 5*a**3/2 + 22*a**2 - 86*a. Factor s(j).
(j + 4)*(j + 11)
Let w be -6 + 5 - (-9610)/9600. Let m(n) be the third derivative of 1/192*n**4 - 1/1680*n**7 - 1/24*n**3 - w*n**6 + 0 + 1/160*n**5 + 0*n + 9*n**2. Factor m(l).
-(l - 1)**2*(l + 1)*(l + 2)/8
Suppose -z - 4*a = -18, -186 = -2*z + 5*a - 202. Solve -6 + 3*s**3 + 3*s**z - 6*s - 3/8*s**4 - 3/8*s**5 = 0 for s.
-2, -1, 2
Let a(x) be the first derivative of -2*x**5/5 +