**2 - 12*z - 86.
4*(z - 2)*(z + 3)**2
Let k(y) be the first derivative of -7/12*y**6 + 1/2*y**5 - 5/6*y**3 + 6 + 9/8*y**4 + 0*y - 1/2*y**2. Let k(j) = 0. Calculate j.
-1, -2/7, 0, 1
Let x = 1 + 2. Suppose -x*g + 14 + 4 = 0. Determine k, given that -g + 8*k + k**2 - 2 - 3*k**2 = 0.
2
Let d(x) = -x**2 + 11*x + 14. Let b be d(12). Let w be 3*(b - 112/60). Let 2/5 - 6/5*g - w*g**2 + 6/5*g**3 = 0. Calculate g.
-1, 1/3, 1
Let a(r) be the first derivative of -r**6/15 - 4*r**5/25 + 4*r**3/15 + r**2/5 - 5. Factor a(o).
-2*o*(o - 1)*(o + 1)**3/5
Factor 2/7 - 1/7*b**2 + 1/7*b.
-(b - 2)*(b + 1)/7
Let o be 9 + 6 + -13 - -2. Suppose 0 + 4/7*c**o + 0*c - 8/7*c**3 + 4/7*c**2 = 0. Calculate c.
0, 1
Let k(r) be the third derivative of r**7/1260 - r**5/180 + 5*r**3/6 - 6*r**2. Let x(a) be the first derivative of k(a). Factor x(c).
2*c*(c - 1)*(c + 1)/3
Factor 34*t**3 - 19*t**3 + 9*t + 6*t**2 - 18*t**3.
-3*t*(t - 3)*(t + 1)
Let q(y) be the third derivative of y**5/20 + 3*y**4/8 + 14*y**2. Solve q(m) = 0.
-3, 0
Let g(f) be the third derivative of -f**9/332640 + f**8/110880 + f**7/13860 - f**5/60 - f**2. Let c(h) be the third derivative of g(h). Factor c(w).
-2*w*(w - 2)*(w + 1)/11
Let z(g) be the first derivative of 1/25*g**5 - 1/15*g**3 + 0*g + 0*g**2 + 1/20*g**4 - 1/30*g**6 - 4. Suppose z(u) = 0. What is u?
-1, 0, 1
Let d(u) be the third derivative of u**7/595 + 7*u**6/1020 + u**5/102 + u**4/204 + 15*u**2. Factor d(h).
2*h*(h + 1)**2*(3*h + 1)/17
Suppose -m + 3 = j, -4*m + 2*j = -3*j - 3. Suppose 5*z - 6 = -m*r, 0*z = -2*z - 3*r - 2. Factor -2 - 4*s + 3*s - z*s + s**3.
(s - 2)*(s + 1)**2
Let x = -5 + 2. Let n(s) = -3*s**4 + 6*s**3 - 6*s**2 + 3*s - 3. Let j(c) = c**3 - c**2 + 1. Let z(f) = x*j(f) - n(f). Determine o so that z(o) = 0.
0, 1
Let c = 3 - -1. Let t(h) be the first derivative of 1/12*h**c + 0*h + 3 + 1/9*h**3 + 0*h**2. Let t(r) = 0. What is r?
-1, 0
Let s(c) be the first derivative of -9*c**5/80 + 7*c**4/16 - 2*c**3/3 + c**2/2 + c - 1. Let w(m) be the first derivative of s(m). Factor w(y).
-(y - 1)*(3*y - 2)**2/4
Let h(o) be the third derivative of o**5/15 - o**4/3 + 18*o**2. Let h(n) = 0. Calculate n.
0, 2
Let x be 12/(-6) + (-28)/(-26). Let k = 112/65 + x. Factor 0*h - 2/5 + k*h**2 + 0*h**3 - 2/5*h**4.
-2*(h - 1)**2*(h + 1)**2/5
Let c(k) be the third derivative of k**8/70 + k**7/7 + 27*k**6/50 + 22*k**5/25 + 2*k**4/5 + k**2 + k. Factor c(g).
6*g*(g + 2)**3*(4*g + 1)/5
Let v(n) be the third derivative of 9*n**8/560 - 3*n**6/100 + 2*n**5/75 - n**4/120 + 2*n**2. Factor v(h).
h*(h + 1)*(3*h - 1)**3/5
Let i(g) be the second derivative of -g**9/4536 + g**7/630 - g**5/180 - 5*g**3/6 - g. Let o(y) be the second derivative of i(y). Solve o(n) = 0.
-1, 0, 1
Determine b so that -1/7*b**3 - 9/7 + 1/7*b**2 + 9/7*b = 0.
-3, 1, 3
Suppose 0 = 14*u - 10*u. Let l(o) be the third derivative of u + 0*o + 0*o**3 - 3*o**2 - 1/10*o**5 + 1/12*o**4. Factor l(c).
-2*c*(3*c - 1)
Let b(r) be the third derivative of 0*r**5 + 0*r**6 + 0 + 0*r - 1/420*r**7 + 2*r**2 + 0*r**3 - 1/672*r**8 + 0*r**4. Factor b(i).
-i**4*(i + 1)/2
Let p(s) be the first derivative of -63*s**4/4 - s**3 + 3*s**2 + 2. Determine j so that p(j) = 0.
-1/3, 0, 2/7
Let z(i) be the third derivative of -i**9/20160 + i**7/1680 - i**5/20 + 3*i**2. Let n(v) be the third derivative of z(v). Factor n(k).
-3*k*(k - 1)*(k + 1)
Factor 5*g - g**2 + 2*g - 2*g - 3*g.
-g*(g - 2)
Let j be (((-1)/(-14))/1)/((-12)/(-48)). Factor -6/7*v**4 + 0*v - 2/7*v**5 + 0 - j*v**2 - 6/7*v**3.
-2*v**2*(v + 1)**3/7
Let v(g) be the first derivative of 0*g**2 + 0*g - 1/18*g**4 - 2 + 4/27*g**3. Find d such that v(d) = 0.
0, 2
Factor -c**2 + c**2 - 3*c**2 - 9*c + 12.
-3*(c - 1)*(c + 4)
Suppose a = -3*g + 11, -4*a - 16 = -2*g - g. Suppose -g*b + 8 + 0 = 0. Factor -b*f**4 + 2*f**2 + 2*f**3 + 4*f**4 + 2*f**3.
2*f**2*(f + 1)**2
Let a(g) = 12*g**3 + 16*g**2 + 6*g - 8. Let d = 3 - 4. Let l(z) = -z**3 - z**2 + 1. Let m(c) = d*a(c) - 10*l(c). Solve m(b) = 0.
-1
Let q(v) be the first derivative of v**6/50 - v**5/20 + v**4/60 + v**3/30 + 2*v + 7. Let o(a) be the first derivative of q(a). Factor o(j).
j*(j - 1)**2*(3*j + 1)/5
Let b be 21/15 + 6/10. Factor 1 + 2*y - 6 + 1 + b*y**2.
2*(y - 1)*(y + 2)
Let m(c) be the third derivative of -c**7/1155 + c**5/330 - 7*c**2. Factor m(q).
-2*q**2*(q - 1)*(q + 1)/11
Let k(w) = -5*w**2 + 6*w. Suppose 0 = -3*f - 4 + 10. Let t(g) be the first derivative of g**3/3 - g**2/2 + 1. Let s(r) = f*k(r) + 11*t(r). Factor s(b).
b*(b + 1)
Let q be 1/3 - 20/(-12). Factor 7*s + 5*s**q - 3*s**2 + 4 + 0 - s.
2*(s + 1)*(s + 2)
Let c = -1594/3 + 534. Suppose 4/3*s**3 + 8/3 - 2*s**2 - c*s + 2/3*s**4 = 0. Calculate s.
-2, 1
Determine v, given that -2/3*v**2 + 0 + 8/3*v = 0.
0, 4
Factor -4*a**3 + 3*a**3 + 8 + a + 6*a**2 + 2*a - 15*a.
-(a - 2)**3
Let j be (-9)/(-7)*(-4)/(-6). Let a = 12 + -10. Factor 6/7*w + 2/7*w**3 + 2/7 + j*w**a.
2*(w + 1)**3/7
Let w = -23 + 7. Let j be 44/w - 6/(-2). Factor j*c**2 - 1/4*c + 0.
c*(c - 1)/4
Let n be (2 + -2)/(6/2). Let r(z) be the first derivative of n*z**2 + 3 - 2/9*z**3 + 2/3*z. Factor r(b).
-2*(b - 1)*(b + 1)/3
Suppose -5*y + 8 = -7. Let t(q) be the third derivative of -y*q**2 - 1/33*q**3 - 1/66*q**4 + 0 - 1/330*q**5 + 0*q. What is h in t(h) = 0?
-1
Let l(f) be the third derivative of -f**6/210 + f**5/35 - f**4/21 + 2*f**2. Factor l(n).
-4*n*(n - 2)*(n - 1)/7
Let p(r) = -r + 1. Let v(n) = 5*n**2 + 5*n - 5. Let y(u) = -5*p(u) - v(u). Factor y(b).
-5*b**2
Suppose 15*n = 12*n + 6. Let c(o) be the second derivative of 0 + 1/10*o**5 + 1/2*o**4 - 4*o**n - 2*o + 0*o**3. Find x such that c(x) = 0.
-2, 1
Let h be -2*15/10*-1. Suppose 10 = 5*p - 0*p. Solve 1/2*m - 5/4*m**p - 3*m**h + 0 = 0.
-2/3, 0, 1/4
Let p(g) be the first derivative of -g**6/24 - g**5/20 + 3*g**4/16 + 5*g**3/12 + g**2/4 + 5. Factor p(v).
-v*(v - 2)*(v + 1)**3/4
Let l(o) be the first derivative of o**5/450 - o**4/90 + o**3/45 - o**2/2 + 6. Let n(v) be the second derivative of l(v). Factor n(t).
2*(t - 1)**2/15
Let k(n) be the third derivative of 0*n - 1/18*n**5 - 6*n**2 - 2/9*n**3 - 7/36*n**4 + 0. Factor k(p).
-2*(p + 1)*(5*p + 2)/3
Suppose 5*f - 1 = -11. Let w be f/(-8) - (-3)/(-12). Suppose 0*s + 1/2*s**2 + 3/2*s**3 + 1/2*s**5 + w + 3/2*s**4 = 0. Calculate s.
-1, 0
Let b(f) be the second derivative of f**5/4 - 35*f**4/12 + 25*f**3/2 - 45*f**2/2 - 20*f. Factor b(m).
5*(m - 3)**2*(m - 1)
Suppose 4 + 14 = 6*a. Factor -6/5*l + 3/5*l**2 + 3/5*l**a + 0.
3*l*(l - 1)*(l + 2)/5
Determine s, given that -6/7 + 3/7*s**2 + 9/7*s**3 - 9/7*s + 3/7*s**4 = 0.
-2, -1, 1
Let f(l) be the first derivative of 2*l + 1 - 4*l**3 + 3/2*l**2 + 7/4*l**4. Let f(a) = 0. Calculate a.
-2/7, 1
Let m(c) be the first derivative of c**8/168 - 2*c**7/105 + c**5/15 - c**4/12 - 3*c**2/2 - 3. Let p(u) be the second derivative of m(u). Solve p(q) = 0.
-1, 0, 1
Suppose 2*g + 12 = 5*q + g, -4*q + g + 10 = 0. Let r(s) be the third derivative of 0*s**3 - 1/48*s**4 + 0*s - 1/120*s**5 + 0 + 3*s**q. Factor r(y).
-y*(y + 1)/2
Suppose -3*l + 11 + 7 = 0. Factor l*k**2 - 3*k**2 - k + k**4 - 2*k**3 - k**3.
k*(k - 1)**3
Let l be (3 - (-5)/(-1)) + (9 - 7). Let u(y) be the third derivative of 0*y + 4*y**2 + l - 1/36*y**4 + 2/9*y**3 - 1/90*y**5. Factor u(k).
-2*(k - 1)*(k + 2)/3
Let i(u) = -u**2 + 1. Let h(w) = -6*w**2 + 4*w + 4. Let a(o) = h(o) - 4*i(o). Factor a(m).
-2*m*(m - 2)
Factor -1 + 6 - 3*r + 1 - 3*r**2.
-3*(r - 1)*(r + 2)
Let u(v) be the first derivative of v**3/4 - 3*v + 5. Factor u(l).
3*(l - 2)*(l + 2)/4
Let q(c) = -2*c - 27. Let b be q(-15). Let h(t) be the second derivative of -2*t - 1/2*t**2 - 1/48*t**4 + 1/6*t**b + 0. Let h(i) = 0. What is i?
2
Let x be 46/6 - 5 - 2/(-6). Suppose 5*w = 1 + 9. Factor -9*d**x + d**3 - 8*d + 6*d**2 - 2*d**4 - 2 - 18*d**w.
-2*(d + 1)**4
Let v be (-6)/1 + (-4)/4. Let q = -5 - v. Factor -2/7*u**3 + 2/7 - 2/7*u**q + 2/7*u.
-2*(u - 1)*(u + 1)**2/7
Let y(h) be the second derivative of 3*h**7/28 + 7*h**6/20 + 3*h**5/8 + h**4/8 + 8*h. Factor y(q).
3*q**2*(q + 1)**2*(3*q + 1)/2
Let l be ((-4)/(-5))/((-3)/(-15)). Factor 6*w**4 - 5*w**l - 5*w**4 - 4*w**4 + 2*w**3.
-2*w**3*(4*w - 1)
Let a(c) be the second derivative of -c**5/30 - c**4/4 - 2*c**3/3 + 2*c**2 + 3*c. Let s(f) be the first derivative of a(f). Factor s(v).
-2*(v + 1)*(v + 2)
Let m(l) be the first d