ative of -z**6/1200 + z**5/75 + 19*z**4/240 + z**3/6 - z**2 + 386. Factor m(r).
-(r - 10)*(r + 1)**2/10
Let i(p) be the first derivative of 6 + 0*p**4 + 1/480*p**5 + 1/1440*p**6 + 0*p - p**3 + 0*p**2. Let z(v) be the third derivative of i(v). Factor z(r).
r*(r + 1)/4
Suppose 630*m + 256 = 758*m. Factor -9*v**m - 7/4*v**4 - 15/2*v**3 - 2*v + 0.
-v*(v + 2)**2*(7*v + 2)/4
Let j(i) be the third derivative of 1/540*i**5 - 14*i**2 + 1/27*i**4 + 0 + 0*i + 8/27*i**3. Factor j(r).
(r + 4)**2/9
Let u(g) be the second derivative of -5*g**6/18 - 17*g**5/6 + 115*g**4/9 - 155*g**3/9 + 15*g**2/2 - 41*g. Let u(n) = 0. Calculate n.
-9, 1/5, 1
Let u(q) be the first derivative of 0*q + 3*q**2 - 1/12*q**4 + 1/30*q**5 - 4 + 0*q**3. Let l(g) be the second derivative of u(g). Suppose l(y) = 0. Calculate y.
0, 1
Let z(u) be the second derivative of u**5/20 - 19*u**4/12 + 3*u + 31. Find r, given that z(r) = 0.
0, 19
Let i(b) = -7*b**2 + 86*b + 77. Let w(z) = 5*z**2 - 87*z - 80. Let g(a) = 3*i(a) + 4*w(a). Suppose g(r) = 0. Calculate r.
-89, -1
Let a(d) be the second derivative of 19*d - 11/54*d**4 - 7/270*d**6 + 1/10*d**5 + 0 - 1/6*d**2 + 13/54*d**3 + 1/378*d**7. Determine g, given that a(g) = 0.
1, 3
Let d(l) be the first derivative of l**6/60 - l**5/25 - l**4/10 + l**3/15 + 3*l**2/20 + 122. Let d(p) = 0. What is p?
-1, 0, 1, 3
Let o(n) be the second derivative of n**4/36 + 4*n**3/9 + 8*n**2/3 - 6*n. Factor o(k).
(k + 4)**2/3
Let i = 125 - 105. Let v be 2 - 9/4 - (-13)/i. Factor 4/5 + 2/5*p**3 - 4/5*p**2 - v*p.
2*(p - 2)*(p - 1)*(p + 1)/5
Suppose 0*g - 2*g = 2*x - 6, 5*x = 3*g + 15. Factor -2 - 47*k - 44*k**2 - 8 - 7*k**3 + g*k.
-(k + 1)*(k + 5)*(7*k + 2)
Let o(v) = -19*v**4 - 183*v**3 - 172*v**2 - 87*v - 7. Let q(b) = 5*b**4 + 44*b**3 + 43*b**2 + 22*b + 2. Let y(h) = 2*o(h) + 9*q(h). Factor y(j).
(j + 1)**2*(j + 2)*(7*j + 2)
What is y in -4*y**4 + 16*y**3 - 5 - 3 + 6*y - 22*y**3 + 10*y**2 + 2*y**4 = 0?
-4, -1, 1
Let l(p) = p**3 - 4*p**2 + 4*p - 10. Let u be l(4). Let r = 8 - u. Factor -2/5*h**r - 2/5 - 4/5*h.
-2*(h + 1)**2/5
Suppose -6*z + 151 = -11. Factor 2*q**2 + 5*q**3 - 20 - z*q**2 + 40*q + 0*q**3.
5*(q - 2)**2*(q - 1)
Let f(n) be the third derivative of -n**5/90 - 5*n**4/18 + 11*n**3/9 + 5*n**2 - 4*n. Solve f(k) = 0.
-11, 1
Suppose -2*r - 2*r - 32 = 0. Let z be (-12 - r) + 9/1. What is v in 5*v**2 - 5*v + 5*v**3 - 14*v**2 + z + 4*v**2 = 0?
-1, 1
Solve -374811 - 222327 + 35623 - 378*j**2 - 23814*j + 17094 + 44327 - 2*j**3 = 0.
-63
Let j be 0/((-112)/32 + 3/2). Factor j + 4/3*p - 10/3*p**4 - 14/3*p**2 + 6*p**3 + 2/3*p**5.
2*p*(p - 2)*(p - 1)**3/3
Let t(z) be the first derivative of 3*z**5/5 - 33*z**4/4 + 45*z**3 - 243*z**2/2 + 162*z + 173. Factor t(u).
3*(u - 3)**3*(u - 2)
Let h be (16 + (-11)/((-44)/(-40)))*(-4)/(-7). Determine j so that 0 - h*j**2 + 72/7*j + 2/7*j**3 = 0.
0, 6
Let q(g) be the third derivative of -3*g**5/5 + 2*g**4 - 8*g**3/3 + 143*g**2. Factor q(f).
-4*(3*f - 2)**2
Let p(c) be the third derivative of c**8/378 + 17*c**7/945 + 4*c**6/135 + c**5/90 + 25*c**2 - 2*c. Solve p(z) = 0 for z.
-3, -1, -1/4, 0
Let i(f) be the first derivative of f**8/4480 - f**7/1120 + f**6/960 + 26*f**3/3 + 23. Let v(p) be the third derivative of i(p). Factor v(a).
3*a**2*(a - 1)**2/8
Let m(c) be the third derivative of c**7/70 - 3*c**6/40 - c**5/4 + 3*c**4/8 + 2*c**3 - 23*c**2 - 2. Factor m(u).
3*(u - 4)*(u - 1)*(u + 1)**2
Factor -5*q + 25*q**4 + 9*q**2 - 15 - 2*q**3 + 59*q**3 + 8*q**3 + 36*q**2 + 5.
5*(q + 1)**3*(5*q - 2)
Let s(i) be the first derivative of 5*i**4/4 + 70*i**3/9 + 35*i**2/6 - 20*i/3 - 89. Factor s(h).
5*(h + 1)*(h + 4)*(3*h - 1)/3
Let y(a) = -20*a**2 + 140*a - 95. Let o(i) = -i**2 - i - 1. Let g = -26 - -31. Let m(c) = g*o(c) - y(c). Solve m(f) = 0.
2/3, 9
Let c(n) be the third derivative of 3*n**8/112 - 29*n**7/168 + n**6/3 - n**5/6 - 3*n**3/2 - 5*n**2. Let j(t) be the first derivative of c(t). Factor j(s).
5*s*(s - 2)*(s - 1)*(9*s - 2)
Factor -8/13*v**4 - 58/13*v**3 - 90/13*v - 132/13*v**2 + 0.
-2*v*(v + 3)**2*(4*v + 5)/13
Suppose -2*h - 3*l = -5*l - 2, -4*l = -16. Suppose -2*x - h*x + 21 = 0. Factor -2/3 - 2/9*y**x - 2/9*y**2 + 10/9*y.
-2*(y - 1)**2*(y + 3)/9
Suppose -5*r + 41 = 2*x + 39, 0 = -5*r + 5*x + 30. Factor -14/5*n - 2*n**r - 4/5.
-2*(n + 1)*(5*n + 2)/5
Determine q, given that 24*q - 354*q**3 - 112*q**2 - 4 + 14628*q**5 - 12684*q**5 + 1242*q**4 + 4 = 0.
-3/4, -1/3, 0, 2/9
Factor -3*t**3 - 40 - 32*t**2 + 24*t - 84*t + 2*t**2 - 2*t**3.
-5*(t + 2)**3
Let o(m) be the first derivative of 65*m**3/3 - 67*m**2/2 + 2*m - 53. Solve o(f) = 0.
2/65, 1
Factor 67*j**3 + 35*j**2 + 15*j**2 + 12 + 2*j**2 - 87*j**3 - 44*j.
-4*(j - 1)**2*(5*j - 3)
Let t(i) be the second derivative of 25*i**7/21 + 59*i**6/3 + 699*i**5/10 + 649*i**4/6 + 256*i**3/3 + 36*i**2 + 245*i - 2. Solve t(b) = 0 for b.
-9, -1, -2/5
Let d(c) = c**3 - c**2 - 1. Let z be (-5 - -2)/((-3)/4). Let a(g) = z - 3*g + 15*g + 4*g**2 - 3*g**3 + 2 + 14*g**2. Let k(s) = -a(s) - 6*d(s). Factor k(w).
-3*w*(w + 2)**2
Let o(c) be the first derivative of 4*c**3/3 + 4*c**2 - 12*c + 7. Solve o(s) = 0.
-3, 1
Let r(w) = 6*w**2 - w - 2. Let l(x) = x**3 + 52*x**2 - 35*x - 66. Let q(c) = -3*l(c) + 12*r(c). Factor q(n).
-3*(n - 2)*(n + 1)*(n + 29)
Let g(z) be the first derivative of z**6/360 + 14*z**3/3 - 4. Let n(h) be the third derivative of g(h). Let n(d) = 0. Calculate d.
0
Let i(l) = 12*l**5 + 78*l**4 - 26*l**3 + 2*l**2 - 4*l. Let h(x) = -23*x**5 - 155*x**4 + 53*x**3 - 5*x**2 + 10*x. Let g(n) = 2*h(n) + 5*i(n). Factor g(r).
2*r**3*(r + 6)*(7*r - 2)
Let x(f) = f**2 - 2*f. Let y(l) = -2*l**2 + l. Suppose -3*z + 7 - 19 = 0. Let a(v) = z*y(v) - 5*x(v). Find k such that a(k) = 0.
-2, 0
Let j = 0 + 5. Suppose 1 = -4*w + 9. Factor 6*z**2 + z**w - 10*z + 2*z + j*z**2 - 4*z**4.
-4*z*(z - 1)**2*(z + 2)
Determine c so that 4*c**2 - 20 - 4 - 5*c**2 - c**2 - 14*c = 0.
-4, -3
Let k(y) be the third derivative of y**6/40 - 3*y**5/4 + 9*y**4 - 54*y**3 - 14*y**2 - 1. Factor k(t).
3*(t - 6)**2*(t - 3)
Let v be (-8)/297*(-1 - 8/(-32)). Let k = v - -20/99. Find y, given that -4/9 - k*y**3 + 2/3*y**2 + 2/9*y - 2/9*y**4 = 0.
-2, -1, 1
Solve 65*c**2 - 146*c**2 - 75*c**2 + 16 + 304*c = 0 for c.
-2/39, 2
Let n be 7/4 + 11/44. Suppose 4*q - 154 = n*q. Factor 32*a**3 + a**2 + a**2 + 2*a**2 + 49*a**5 + q*a**4.
a**2*(a + 1)*(7*a + 2)**2
Factor 68*n**3 - 30*n**2 - 38*n**2 + 4*n**5 + 0*n**5 + 24*n - 28*n**4.
4*n*(n - 3)*(n - 2)*(n - 1)**2
Let u(b) be the second derivative of 4/15*b**6 + 0 + 0*b**2 - 2/3*b**4 + 0*b**5 + 7*b - 2/3*b**3 + 2/21*b**7. Suppose u(k) = 0. Calculate k.
-1, 0, 1
Let h(g) be the first derivative of -1/4*g**4 - g**2 + 6 + 0*g + g**3. Factor h(t).
-t*(t - 2)*(t - 1)
Determine r, given that 21*r**4 - 16*r - 59*r**4 + 1 + 12*r**3 - 1 + 34*r**4 = 0.
-1, 0, 2
Let f = 586 + -584. Let j(g) be the second derivative of 0 + 2/9*g**4 - 6*g - 2/3*g**f + 7/9*g**3. Find o, given that j(o) = 0.
-2, 1/4
Let q be (-2 - 2 - -4) + 6. Suppose -4*b = 4*g - 28, 0 = b + 3*b - 4*g + 4. What is a in 3*a**2 + 0 + 6*a**2 - b*a**4 + 0*a**3 + 15*a + q - 3*a**3 = 0?
-1, 2
Suppose 4*z + 3*v = 24, -2*v + 20 - 6 = 2*z. Factor 10/9*r + 2/9*r**2 + 2/3 - 2/9*r**z.
-2*(r - 3)*(r + 1)**2/9
Suppose n + 9*j = 12*j - 4, -10 = -5*j. Let l(z) be the first derivative of 4 - 2*z + 1/2*z**4 - z**n + 2/3*z**3. Find c such that l(c) = 0.
-1, 1
What is t in 6*t - 55 + 7*t**2 + 59 - 5*t**2 = 0?
-2, -1
Let f(b) be the first derivative of 8*b**6/15 - 24*b**5/25 - 23*b**4/20 + b**3 - b**2/5 + 82. What is w in f(w) = 0?
-1, 0, 1/4, 2
Let i(b) be the third derivative of 0*b + 0 + 6*b**2 - 1/2*b**3 + 1/60*b**5 - 1/12*b**4. Factor i(w).
(w - 3)*(w + 1)
Let g(a) be the first derivative of 2/15*a**3 + 2*a**2 + 10*a - 39. Factor g(u).
2*(u + 5)**2/5
Let c(a) = 13*a**2 - 221*a + 262. Let w(q) = 3*q**2 - 55*q + 64. Let s(d) = -2*c(d) + 9*w(d). Factor s(f).
(f - 52)*(f - 1)
Factor 3437 - 176*f**2 + 226*f + 179*f**2 + 1028*f + 88268 + 39338.
3*(f + 209)**2
Let v(h) be the third derivative of -h**6/40 - 17*h**5/20 + 37*h**4/8 - 19*h**3/2 + 70*h**2. Factor v(n).
-3*(n - 1)**2*(n + 19)
Let l(w) be the third derivative of w**5/480 + w**4/96 - 43*w**2. Factor l(h).
h*(h + 2)/8
Let f(x) be the second derivative of x**7/210 + 9*x**6/50 - 3*x**5/10 - 14*x**4/15 + 609*x. Let f(l) = 0. C