= -55 + x. Find z, given that -2/5*z + u*z**3 + 2/5*z**2 - 2/5 = 0.
-1, 1
Let u = -829/2 + 417. Let -1 - 1/2*s - s**3 + u*s**2 = 0. Calculate s.
-1/2, 1, 2
Let l(j) = -j**2 - 8*j + 14. Let u(n) = -5*n**2 - 32*n + 55. Let c(a) = -9*l(a) + 2*u(a). Factor c(f).
-(f - 4)**2
Let z(g) be the third derivative of g**7/672 - g**6/180 + g**5/480 + g**4/48 - g**3/2 + g**2. Let v(c) be the first derivative of z(c). Factor v(i).
(i - 1)**2*(5*i + 2)/4
Find k such that 2/7*k**2 + 1/7*k**5 + 1/7 + 2/7*k**3 - 3/7*k - 3/7*k**4 = 0.
-1, 1
Let n be 248/(-10)*(-35)/14. Find l such that -1 - 8*l + 16*l**2 + 1 - 70*l**4 + n*l**3 = 0.
-2/5, 0, 2/7, 1
Let y(m) be the first derivative of 2*m**3/15 - m**2/5 + 4. Find p, given that y(p) = 0.
0, 1
Let b(x) be the first derivative of -x + 1/3*x**3 + 0*x**2 - 1 + 1/10*x**5 + 1/3*x**4. Let a(c) be the first derivative of b(c). Solve a(g) = 0.
-1, 0
Let f = -13 + 16. Suppose 15*g**2 + 0*g**3 - 4*g - 9*g**4 - 2*g + 12*g**f = 0. Calculate g.
-1, 0, 1/3, 2
Let w(n) be the first derivative of 0*n + 1 - 1/4*n**4 + 0*n**2 + 0*n**5 + 0*n**3 + 1/6*n**6. Factor w(l).
l**3*(l - 1)*(l + 1)
Let w(m) = -8*m**3 + 7*m**2 + 3*m. Let f(b) = 55*b**3 - 50*b**2 - 20*b. Let d(u) = -3*f(u) - 20*w(u). Solve d(v) = 0.
0, 2
Let s(x) be the third derivative of -x**7/560 - x**6/320 + x**5/32 - 3*x**4/64 + 33*x**2 + 2. Suppose s(c) = 0. What is c?
-3, 0, 1
Let f be 39 - (0 - (-1 - -2)). Let j be 16/(-24) + f/42. Factor -2/7*o + 2/7*o**2 + 0 - j*o**4 + 2/7*o**3.
-2*o*(o - 1)**2*(o + 1)/7
Let p(j) = -j + 8. Suppose -z = 5*v, 2*z - 7 = z + 2*v. Let q be p(z). Factor 2/3*y**q + 0*y**2 - 2/3*y**4 + 0 + 0*y.
-2*y**3*(y - 1)/3
Let z(f) = -f**3 + f**2 + f + 4. Let q be z(0). Factor -q*b - 1 + 0 + 2*b**2 + 1.
2*b*(b - 2)
Let n(h) be the second derivative of h**7/840 + h**6/90 + h**5/30 - h**3/6 - 3*h. Let v(g) be the second derivative of n(g). Solve v(t) = 0 for t.
-2, 0
Let r(m) = -2*m**3 + 49*m**2 - 25*m + 28. Let x be r(24). Factor 0*l + 0 + 0*l**2 + 1/2*l**x + 0*l**3 + 1/2*l**5.
l**4*(l + 1)/2
Let t be 4/3*(-9)/(-6). Let d = t - 0. What is b in -2*b - 4*b**2 + 1 + b**d + 4*b**2 = 0?
1
Suppose -2/9*a**2 + 0*a + 10/9*a**4 - 8/9*a**3 + 0 = 0. Calculate a.
-1/5, 0, 1
Let w(j) be the first derivative of -26*j**2 - 8*j + 77/4*j**4 - 2 + 49/5*j**5 - 22*j**3. Factor w(a).
(a - 1)*(a + 2)*(7*a + 2)**2
Factor -4*w**2 + 15*w - 3*w + w**2 - 8 - 1.
-3*(w - 3)*(w - 1)
Let v(c) = -c**2 - 8*c. Let n(b) = 2*b**2 + 16*b. Let r(l) = 3*n(l) + 5*v(l). Let f be r(-8). Suppose -1/2*y**3 - 1/2*y**4 + 0*y + f + 0*y**2 = 0. What is y?
-1, 0
Let w = 2/143 - -135/572. Factor 1/4*t**5 + 0*t + w*t**2 - 1/4*t**4 - 1/4*t**3 + 0.
t**2*(t - 1)**2*(t + 1)/4
Let v(d) be the first derivative of 9*d**4/7 - 8*d**3/21 - 18*d**2/7 + 8*d/7 + 3. Factor v(p).
4*(p - 1)*(p + 1)*(9*p - 2)/7
Let k(h) be the first derivative of 1/15*h**4 + 1/2*h**2 + 0*h - 1/50*h**5 - 1 - 1/15*h**3. Let r(f) be the second derivative of k(f). Solve r(i) = 0.
1/3, 1
Let a(y) = y + 12. Let v be a(-9). Find s, given that -6 - 15*s**4 - 101*s**3 - 69*s**2 - 10*s**4 + 2 - 28*s + 31*s**v = 0.
-1, -2/5
Let f(p) be the first derivative of p**4/4 - 5*p**3/9 + p**2/3 - 7. Solve f(r) = 0 for r.
0, 2/3, 1
Let b(r) be the third derivative of 3*r**2 + 1/12*r**4 + 1/10*r**5 + 0*r**3 + 0*r + 1/105*r**7 + 1/20*r**6 + 0. Factor b(p).
2*p*(p + 1)**3
Let x(j) be the second derivative of -j**6/140 + j**5/210 - 5*j**3/3 - 8*j. Let s(u) be the second derivative of x(u). Solve s(m) = 0.
0, 2/9
Let a(l) = -2*l**2 - 10*l - 2. Let b(r) = r**2 + 11*r + 1. Let u(f) = 3*a(f) + 2*b(f). Factor u(s).
-4*(s + 1)**2
Suppose 8*u - 8 = 4*u. Factor -6*n + 2*n**u - 1 - 11*n**2 + 0*n**2.
-(3*n + 1)**2
Suppose 0 = 3*m + 2*m. Factor 5*f + 2*f - 2*f**2 - 3*f + m*f + 6.
-2*(f - 3)*(f + 1)
Let l(o) = o**3 + o**2 + o + 1. Let n(v) = -1 - 4*v**3 + 5*v + 5*v**3 - 4*v**3 + 4 - v**2. Let m(b) = -3*l(b) + n(b). Solve m(x) = 0.
-1, 0, 1/3
Let j(r) be the third derivative of -r**6/40 - r**5/20 + 5*r**2. Find v, given that j(v) = 0.
-1, 0
Find k such that -12/11 + 2/11*k**4 - 2/11*k**3 - 14/11*k**2 + 26/11*k = 0.
-3, 1, 2
Factor 11*c**5 - 12*c**3 - 7*c**5 - 3*c**2 - 17*c**2 - 8*c + 4*c**4.
4*c*(c - 2)*(c + 1)**3
Let u(m) = 3*m - 15. Let c be u(6). Suppose -4*d + 23 = c. Find f, given that 4/5*f**3 - 4/5 - 2/5*f**d + 4/5*f**4 - 16/5*f**2 + 14/5*f = 0.
-2, 1
Let -5*o + 2*o**3 + 4 - 12*o + 16*o - 5*o = 0. What is o?
-2, 1
Let w(m) = m**2 - 21*m - 34. Let n(z) = -2*z**2 + 22*z + 33. Let l(p) = 4*n(p) + 3*w(p). Factor l(v).
-5*(v - 6)*(v + 1)
Suppose -1/5 + 1/5*g**2 + 0*g = 0. What is g?
-1, 1
Let c(b) be the first derivative of b**6/6 + 3*b**5/5 + b**4/2 - 2*b**3/3 - 3*b**2/2 - b + 5. Solve c(i) = 0 for i.
-1, 1
Let i(c) be the second derivative of -2*c**5/45 - c**4/54 - 28*c. Factor i(f).
-2*f**2*(4*f + 1)/9
Let h(a) = 3*a - 6. Let u be h(4). Suppose -3*t - 4*g = -19, u*t - 2*g = 4*t + 8. Let t - 5 + m - m**2 = 0. What is m?
0, 1
Let r be 2/(-5)*2/((-8)/5). Find x such that -1/2*x**4 + 0 + 0*x**2 + 0*x - r*x**3 = 0.
-1, 0
Factor 6/5*z - 8/5 + 2/5*z**2.
2*(z - 1)*(z + 4)/5
Let j(r) be the first derivative of -r**3 + 3*r - 3/2*r**2 + 7 + 3/4*r**4. Determine u, given that j(u) = 0.
-1, 1
Let y(s) = -3*s**2 - 7*s + 4. Let x = 11 + -5. Let z be 24/9*9/x. Let l(t) = -6*t**2 - 15*t + 9. Let n(f) = z*l(f) - 9*y(f). Factor n(c).
3*c*(c + 1)
Let m(u) be the second derivative of 2/21*u**3 - 1/105*u**6 + 0 + 0*u**2 + 1/42*u**4 - 1/35*u**5 + 5*u. Determine a, given that m(a) = 0.
-2, -1, 0, 1
Let f = -117 - -589/5. Let m = -1/5 + f. What is c in -2/5*c + m*c**2 - 3/5*c**4 + 0 + 2/5*c**3 = 0?
-1, 0, 2/3, 1
Let i(p) = -40*p**3 + 90*p**2 + 100*p - 30. Let y(s) = -8*s**3 + 18*s**2 + 20*s - 6. Let w(n) = 4*i(n) - 22*y(n). Suppose w(j) = 0. What is j?
-1, 1/4, 3
Let u(t) be the first derivative of t**7/21 - t**6/15 - t**5/2 + t**4/6 + 8*t**3/3 + 4*t**2 + 2*t - 2. Let f(h) be the first derivative of u(h). Factor f(a).
2*(a - 2)**2*(a + 1)**3
Let m(b) be the first derivative of 2*b**5/15 - 5*b**4/9 + 2*b**3/3 - 2*b**2/9 - 30. Suppose m(a) = 0. Calculate a.
0, 1/3, 1, 2
Let u(n) be the second derivative of 1/75*n**6 - 1/30*n**4 + 0*n**5 + 0 + 0*n**3 + 3*n + 0*n**2. Solve u(p) = 0 for p.
-1, 0, 1
Let x = 118306/24645 - 2/4929. Solve -22/5*c - x*c**2 + 18/5*c**3 - 4/5 = 0.
-1/3, 2
Let o = -61 + 61. Solve -1/2*q**3 + 0 + q**2 + o*q = 0.
0, 2
Let r(q) be the third derivative of q**8/1008 - q**7/210 + q**6/180 + q**5/90 - q**4/24 + q**3/18 + 3*q**2. Factor r(c).
(c - 1)**4*(c + 1)/3
Let s be (-4)/15*-3 - 12/15. Let x(v) be the third derivative of -1/21*v**3 + 0 + 4*v**2 + s*v + 0*v**4 + 1/210*v**5. Factor x(o).
2*(o - 1)*(o + 1)/7
Let b(h) = 8*h**3 - 8*h**2 - 17*h + 7. Let x(i) = -9*i**3 + 9*i**2 + 18*i - 6. Let g(s) = 6*b(s) + 5*x(s). Factor g(v).
3*(v - 2)*(v - 1)*(v + 2)
Let q be 136/20 + (-20)/25. Suppose -11*c + q*c = 0. Factor -2/7*o + c - 2/7*o**2.
-2*o*(o + 1)/7
Let o(z) be the first derivative of 5*z**4/4 + 40*z**3 + 480*z**2 + 2560*z + 16. Factor o(h).
5*(h + 8)**3
Let b(u) = 7*u - 3*u + u**2 + 2 + 2. Let s be b(-4). Suppose 2*i**3 - 3*i**3 + 5*i**s - 4*i**4 = 0. Calculate i.
0, 1
Let b(v) be the first derivative of 1/2*v**2 - 1/3*v**3 + 2 + 0*v. Factor b(u).
-u*(u - 1)
Let g(v) be the first derivative of -v**6/30 - 2*v**5/25 + 2*v**3/15 + v**2/10 - 9. Determine w so that g(w) = 0.
-1, 0, 1
Factor -70*v - 64*v + 108*v**2 - 30*v**3 + 3*v - 31*v + 81 + 3*v**4.
3*(v - 3)**3*(v - 1)
Let d(s) be the first derivative of -1 - 4*s**2 - 6*s**3 + 4 + 5*s**2 - 13*s**2 - 8*s. Factor d(u).
-2*(3*u + 2)**2
Let z be (2 - (-8)/(-6))*66. Let g(h) = -5*h**2 + h - 5. Let m(q) = -36*q**2 + 6*q - 36. Let l(v) = z*g(v) - 6*m(v). Factor l(s).
-4*(s - 1)**2
Let l(w) be the first derivative of -w**6/135 + w**5/45 - w**4/36 - w**3 - 1. Let c(v) be the third derivative of l(v). Factor c(g).
-2*(2*g - 1)**2/3
Let o(h) = -4*h - 3. Let w be o(3). Let r be ((-24)/(-20))/((-6)/w). Solve 14/9*j - 10/3*j**2 + 2*j**r - 2/9 = 0 for j.
1/3, 1
Let o(r) be the third derivative of r**7/945 - r**5/90 - r**4/54 + 26*r**2. Determine f so that o(f) = 0.
-1, 0, 2
Let o = 30 - 66. Let w be (-24)/o*(-3)/(-8). Factor -w*z + 1/4*z**2 + 0.
z*(z - 1)/4
Let s(g) be the third derivative of g**6/30 + g**5/5 - g**4/6 - 2*g**3 + g**2. Suppose s