tor m(w).
3*w*(w - 1)**2*(w + 1)**2/4
Let b(l) = -l**5 - 9*l**4 + l**3 + 4*l**2 - 5. Let x(g) = 4*g**5 + 28*g**4 - 4*g**3 - 12*g**2 + 16. Let w(p) = 16*b(p) + 5*x(p). Factor w(a).
4*a**2*(a - 1)**2*(a + 1)
Factor 2*s - 5*s - s**2 + s + 11 - 12.
-(s + 1)**2
Let u(j) be the third derivative of 27*j**7/77 + 21*j**6/220 - 25*j**5/33 + 7*j**4/11 - 8*j**3/33 - 16*j**2. Let u(o) = 0. Calculate o.
-1, 2/9, 2/5
Let g(c) be the third derivative of -c**11/110880 + c**9/10080 - c**7/1680 + c**5/15 + 2*c**2. Let m(r) be the third derivative of g(r). Factor m(b).
-3*b*(b - 1)**2*(b + 1)**2
Suppose -5 - 7 = -4*y. Determine q so that 3*q**2 + 0*q**5 - 3*q**4 + 10*q**5 + 2*q**5 - 12*q**y = 0.
-1, 0, 1/4, 1
Suppose 0 + 3/2*y**2 + 3*y = 0. Calculate y.
-2, 0
Let r(z) be the first derivative of 0*z + 0*z**2 + 2/27*z**3 - 3 + 1/6*z**4 + 1/27*z**6 + 2/15*z**5. Factor r(d).
2*d**2*(d + 1)**3/9
Find h such that -h**2 + 2*h**2 + 0*h - 2*h + 0*h = 0.
0, 2
Let d(i) be the third derivative of i**5/270 - i**4/54 - 22*i**2. Factor d(m).
2*m*(m - 2)/9
Let k(d) = -d + 1. Let m be k(1). Let c(h) be the third derivative of 0 - 3*h**2 + 0*h - 1/12*h**4 + m*h**3 + 1/30*h**5. Factor c(q).
2*q*(q - 1)
Let t(f) be the second derivative of f**8/560 + f**7/70 + f**6/20 + f**5/10 + f**4/8 + f**3/3 + 5*f. Let q(y) be the second derivative of t(y). Factor q(m).
3*(m + 1)**4
Let v be (-1 + 8)*12/42. Find l, given that 6*l - 1 - l**v - 3*l**2 + l - 2*l = 0.
1/4, 1
Let p(s) = 8*s**4 + 8*s**3. Let x(z) = -z**5 + 17*z**4 + 17*z**3 - z**2. Let i(y) = 10*p(y) - 4*x(y). Let i(m) = 0. Calculate m.
-1, 0
Let w = -2 - -4. Suppose u**2 + 4*u + 2*u**w + 5*u + 6 = 0. What is u?
-2, -1
Suppose 184 = 4*t - q, 3*t + q + 2*q - 123 = 0. Let k be 4/18 + 80/t. Let m - 2*m**3 + m**4 + 2*m**k + 5*m**3 + m**2 = 0. What is m?
-1, 0
Let i(h) be the third derivative of 1/330*h**5 + 0*h**3 + 0*h + 1/132*h**4 + 0 + 4*h**2. Factor i(j).
2*j*(j + 1)/11
Suppose 0 = 25*u - 23*u - 6. Let k(s) be the second derivative of 1/24*s**4 - 2*s + 0 - 1/12*s**u - 1/2*s**2. Factor k(i).
(i - 2)*(i + 1)/2
Let d(n) = -7*n**3 + 5*n**2 + 7*n - 18. Let x(q) = -q**3 + q**2 + q - 3. Let m(c) = -6*d(c) + 39*x(c). Factor m(r).
3*(r - 1)*(r + 1)*(r + 3)
Let g be 6/(-8) - 42/(-54). Let o(x) be the second derivative of 0 + g*x**4 - 3*x + 1/3*x**2 - 1/6*x**3. Let o(l) = 0. Calculate l.
1, 2
Let d(z) = -4*z**4 + z**2 + 3*z. Let q(r) = -3 + 3 - 2*r - r**2 + 3*r**4. Let x(a) = -2*d(a) - 3*q(a). Find s such that x(s) = 0.
-1, 0, 1
Let p be 7*(-1)/4*(-36)/126. Factor p*o**2 + 0 + 0*o - 1/2*o**3.
-o**2*(o - 1)/2
Let f(d) be the second derivative of -d**7/14 + d**6/5 + 9*d**5/20 - d**4 - 2*d**3 - 17*d. Suppose f(w) = 0. What is w?
-1, 0, 2
Suppose -2/9*s**2 - 4/9 - 14/9*s + 20/9*s**3 = 0. Calculate s.
-1/2, -2/5, 1
Let q(p) be the second derivative of -p**5/60 + p**3/6 - p**2/2 - 3*p. Let l(u) be the first derivative of q(u). Determine o, given that l(o) = 0.
-1, 1
Suppose -24 = -4*p + 36. Factor 3*y**2 + 4*y - p*y**3 + 14*y**3 - 2*y**2 - 2*y.
-y*(y - 2)*(y + 1)
Let t be 0 - (-3)/(-45)*(-10)/4. Factor -1/2*z - t*z**2 - 1/3.
-(z + 1)*(z + 2)/6
Solve 0 - 1/2*j**5 + 0*j + 2*j**3 + 0*j**2 - 3/2*j**4 = 0 for j.
-4, 0, 1
Let u(c) = c**4 - 32*c**3 + 17*c**2 - 2*c. Let i(y) = -11*y**3 + 6*y**2 - y. Let x(l) = 8*i(l) - 3*u(l). Factor x(h).
-h*(h - 2)*(h - 1)*(3*h + 1)
Let h(f) = -5*f**4 - 7*f**3 - 15*f**2 - 17*f. Let c(g) = 6*g**4 + 7*g**3 + 15*g**2 + 18*g - 1. Let s(d) = -4*c(d) - 5*h(d). Determine q, given that s(q) = 0.
-4, -1
Factor -3/5*d**4 + 4/5*d**3 + 4/5*d**2 + 0*d + 0.
-d**2*(d - 2)*(3*d + 2)/5
Let f(i) be the third derivative of 0*i + 1/30*i**5 + 0 + 0*i**3 + 4*i**2 + 0*i**4. Factor f(u).
2*u**2
Factor -1/3*d**2 + 4/3*d - 4/3.
-(d - 2)**2/3
Let s be ((-3)/2)/(15/(-20)). Let c(p) be the first derivative of -1/5*p**s - 1/10*p**4 + 0*p - 4/15*p**3 + 2. What is a in c(a) = 0?
-1, 0
Let p be (1/(-2))/((-4)/128). Suppose 2*x = -3*b + p, -3*x = -2*b + 5 - 3. Factor -2/5*g**x - 4/5*g - 2/5.
-2*(g + 1)**2/5
Let z be (3 - 1)*162/540. Factor -12/5*y - 3/5*y**4 - z - 18/5*y**2 - 12/5*y**3.
-3*(y + 1)**4/5
Let z(q) be the first derivative of 0*q**5 - 4 - 1/3*q**6 + 0*q**3 + 0*q**2 + 0*q + 1/2*q**4. Factor z(t).
-2*t**3*(t - 1)*(t + 1)
Factor 5 - 18*t + 0 + 27*t**2 - 21*t + 7.
3*(t - 1)*(9*t - 4)
Let d(v) = v**3 - 15*v**2 + 15*v - 14. Let i = 14 + 0. Let x be d(i). Determine z, given that -2/3*z**3 - 4/3*z**2 + x - 2/3*z = 0.
-1, 0
Suppose -37 = -5*p + 4*f - 7, -5*p - 3*f + 30 = 0. Let h be 1/2 + 57/p. Factor -2 + 3*a**3 + h - 12*a + 6*a**2 - 4*a**3.
-(a - 2)**3
Let a(f) be the third derivative of 0 + 0*f**3 + 1/48*f**4 + f**2 + 0*f - 1/120*f**5. Factor a(u).
-u*(u - 1)/2
Find q such that 4*q**2 + 8 + 11*q**2 - 16*q + 5*q**2 - 12*q = 0.
2/5, 1
Let z(o) = 29*o**5 + 9*o**4 - 31*o**3 - 9*o**2 + 29*o. Let i(r) = 7*r**5 + 2*r**4 - 8*r**3 - 2*r**2 + 7*r. Let q(l) = 9*i(l) - 2*z(l). Factor q(b).
5*b*(b - 1)**2*(b + 1)**2
Find j, given that 1/4 + 3/4*j + 3/4*j**2 + 1/4*j**3 = 0.
-1
Determine q, given that -q**4 + 267*q**3 - 3*q**2 - 3*q**5 + 4*q**4 + 0*q**4 - 264*q**3 = 0.
-1, 0, 1
Let j(l) be the first derivative of l**6/90 + l**5/15 - l**4/2 - 2*l**3 + 1. Let k(v) be the third derivative of j(v). Determine u so that k(u) = 0.
-3, 1
Let r(o) = 2*o**2 - 4*o + 2. Let w(h) = -2*h**2 + 4*h - 2. Let i(u) = 5*r(u) + 6*w(u). Let i(n) = 0. What is n?
1
Let b(x) be the second derivative of -x**4/4 + x**3/2 + 3*x**2 + 7*x. Let b(s) = 0. Calculate s.
-1, 2
Let z(g) be the second derivative of -1/6*g**3 + 1/36*g**4 + 1/90*g**6 - 1/3*g**2 + 2*g + 0 + 1/20*g**5. Find s, given that z(s) = 0.
-2, -1, 1
Let k(m) = m**3 - 6*m**2 + 5*m + 3. Suppose 12 = -4*b, q + 2*b = -q + 4. Let y be k(q). Factor 2*c + c**3 - 1 - y*c + 0 + c**2.
(c - 1)*(c + 1)**2
Let d(u) = 9*u**2 + 3*u. Let a(v) = -4*v**2 - 2*v. Suppose 3*n - 6*n - 12 = 0. Let r(g) = n*d(g) - 10*a(g). Suppose r(i) = 0. What is i?
-2, 0
Let s = 2/183 + 356/915. Let z be 3*(0 - (-6)/9). Factor s - 2/5*b**3 + 6/5*b**z - 6/5*b.
-2*(b - 1)**3/5
Let n(k) = 7*k - 19. Let r be n(3). Factor -8/17*h**4 + 0 - 10/17*h**3 - 2/17*h**5 + 0*h - 4/17*h**r.
-2*h**2*(h + 1)**2*(h + 2)/17
Let w(i) be the third derivative of 2*i**7/105 + i**6/10 - 2*i**4/3 + 22*i**2. Factor w(x).
4*x*(x - 1)*(x + 2)**2
Let j(i) = 11*i**4 - 4*i + i + i**2 + 5*i**3 + 6*i**5 + 0*i + 4. Let v(y) = y**4 + y**3 - y**2 - 1. Let f(w) = -j(w) - 4*v(w). Solve f(l) = 0 for l.
-1, 0, 1/2
Suppose 16*l = 45*l - 58. Determine k, given that -14/5*k - 4/5 + 2*k**4 + 14/5*k**3 - 6/5*k**l = 0.
-1, -2/5, 1
Let q = 3 - 2. Let s(f) = -f**2 - 2*f + 3. Let m(b) be the second derivative of b**4/12 - b**2/2 + b. Let a(j) = q*s(j) + 2*m(j). Factor a(c).
(c - 1)**2
Let i(l) = 7*l**2 + 2*l - 13. Let y(s) = -13*s**2 - 5*s + 25. Let w(p) = -7*i(p) - 4*y(p). Factor w(r).
3*(r - 1)*(r + 3)
Let v(i) = 0*i**4 + 0 + 1 - 13*i**3 - 7*i**4 - 3*i**3 + 19*i. Let l(j) = -j**2 + j - 1. Let a(z) = 6*l(z) - 2*v(z). Determine k, given that a(k) = 0.
-2, -1, -2/7, 1
Let t(r) be the second derivative of r**5/180 + r**4/72 + r**2/2 - 4*r. Let g(n) be the first derivative of t(n). Solve g(o) = 0 for o.
-1, 0
Let g be 20/(1 + 2/(-4)). Let l be 74/40 - (-16)/g. Find m, given that -l - 3/2*m - 1/4*m**2 = 0.
-3
Suppose -2*n - 74 = 4*i, 3*i - 5*n = -i - 109. Let z = 26 + i. Factor 0 + 6/7*d**4 + 2/7*d**z + 2/7*d**2 + 6/7*d**3 + 0*d.
2*d**2*(d + 1)**3/7
Let o(q) be the third derivative of -8*q**2 - 1/150*q**5 + 1/60*q**4 - 1/300*q**6 + 0*q + 0 + 1/15*q**3. Suppose o(m) = 0. What is m?
-1, 1
Let m be (4 + 24/42)*1. Let -8/7*d + 0 - 50/7*d**4 + m*d**2 - 10/7*d**3 = 0. Calculate d.
-1, 0, 2/5
Let u(i) = 5*i**5 - 4*i**4 - 2*i**3 + 2. Let g(r) = -26*r**5 + 19*r**4 + 11*r**3 - 11. Let m(d) = 2*g(d) + 11*u(d). Solve m(b) = 0 for b.
0, 2
Let o(y) be the second derivative of y**10/30240 - y**9/15120 + y**4/3 - 5*y. Let k(l) be the third derivative of o(l). Let k(d) = 0. Calculate d.
0, 1
Let l(v) be the third derivative of -v**6/480 + v**5/60 - 5*v**4/96 + v**3/12 - 13*v**2. Factor l(y).
-(y - 2)*(y - 1)**2/4
Let h = 8681/40 - 217. Let w(r) be the third derivative of 0*r + 0*r**3 - 1/8*r**4 + 1/20*r**5 + h*r**6 + 2*r**2 - 1/70*r**7 + 0. Solve w(b) = 0.
-1, 0, 1
Let j(n) be the second derivative of n**5/130 + n**4/78 - 3*n. Suppos