 Let r = 0 + n. Let l(w) = -w**2 - 4*w + 1. Let b(j) = -3*j**2 - 9*j + 2. Let s(g) = r*b(g) - 5*l(g). Factor s(m).
-(m - 1)**2
Let f(v) be the second derivative of v**7/42 - v**6/10 + 3*v**5/20 - v**4/12 - 13*v. Factor f(t).
t**2*(t - 1)**3
Let u = 31/40 - 3/8. Let l(p) = -p**3 - 25*p**2 + 28*p + 54. Let t be l(-26). Let u*b + 0 + 2/5*b**t = 0. Calculate b.
-1, 0
Let s = -57/2 + 29. Find p, given that -s*p**3 - 3/2*p**2 - 1/2 - 3/2*p = 0.
-1
Let h(c) = 9*c**4 - 18*c**3 - 7*c**2 + 11*c - 2. Let p(v) = 6*v**4 - 12*v**3 - 5*v**2 + 7*v - 1. Let s(z) = -5*h(z) + 7*p(z). Factor s(y).
-3*(y - 1)**3*(y + 1)
Suppose 4*z - 28 = -4. Determine d so that 6*d**2 + 11*d**4 + 8*d - 6*d**5 - 25*d**4 - 4*d - z*d**3 = 0.
-1, 0, 2/3
Factor -15*y - 5 - 5*y**2 - 120*y**3 + 6*y + 45*y - 80*y**4 - 6*y.
-5*(y + 1)**2*(4*y - 1)**2
Let c = 20 + -17. Factor 3*b**5 - 2*b**3 - 2*b**5 + b**2 - b**4 + 0*b**2 - b**c + 2*b.
b*(b - 2)*(b - 1)*(b + 1)**2
Suppose -11 - 1 = -3*m. Suppose -4 - 4 = -m*c. Suppose z + 1/3*z**c + 2/3 = 0. What is z?
-2, -1
Let l(a) = -100*a**4 + 240*a**3 - 180*a**2 + 28*a - 12. Let s(u) = -40*u**4 + 96*u**3 - 72*u**2 + 11*u - 5. Let z(n) = 5*l(n) - 12*s(n). Factor z(y).
-4*y*(y - 1)**2*(5*y - 2)
Let n(d) be the second derivative of -d**7/21 - 2*d**6/15 + 3*d**5/10 + 4*d**4/3 + 4*d**3/3 - 32*d. Solve n(h) = 0 for h.
-2, -1, 0, 2
Let o(t) be the first derivative of -45*t**4/4 + 10*t**3/3 + 45*t**2/2 - 10*t - 1. Factor o(v).
-5*(v - 1)*(v + 1)*(9*v - 2)
Let h(j) be the second derivative of 0 + 3/4*j**2 + 2*j - 1/4*j**4 - 7/8*j**3. Let h(i) = 0. What is i?
-2, 1/4
Suppose 3*k - 3 = 6. Let c(d) = -d**3 - 2. Let g be c(-2). Factor 6*j - 7*j**2 + j**3 - 5*j**k + 3*j**2 - 2 - 2*j**5 + g*j**4.
-2*(j - 1)**4*(j + 1)
Let k = -15 + 16. Let g(r) be the first derivative of k - 1/12*r**3 + 1/8*r**2 + 0*r. Determine q, given that g(q) = 0.
0, 1
Solve -d + 3 - d**3 + 3*d**3 + 4*d**3 - 5*d - 3*d**4 = 0.
-1, 1
Suppose 0 = 6*z - z + 2*o - 6, 5*o = -3*z + 15. Let t(s) be the first derivative of -1/4*s**3 - 3/16*s**4 + 0*s + 4 + z*s**2. What is p in t(p) = 0?
-1, 0
Let m(z) = 6*z**4 - 33*z**3 + 21*z**2 + 9*z. Let a(n) = -7*n**4 + 33*n**3 - 22*n**2 - 10*n. Let w(p) = -3*a(p) - 2*m(p). Solve w(r) = 0.
-1/3, 0, 2
Let t be (6/(-4))/(1 + -4). Factor -1/2*s**4 - t*s**2 + 0*s + 0 + s**3.
-s**2*(s - 1)**2/2
Let y = -1072/323 - -60/17. Factor y + 6/19*h + 2/19*h**2.
2*(h + 1)*(h + 2)/19
Suppose -2*f + 3 = -5. Let w(p) be the third derivative of 0 + 0*p**5 - 1/12*p**f + p**2 + 0*p + 1/60*p**6 + 0*p**3. Factor w(q).
2*q*(q - 1)*(q + 1)
Let -4/7*g - 1/7*g**2 - 3/7 = 0. Calculate g.
-3, -1
Suppose -4*y + 0*w - 10 = -2*w, 0 = 4*y - 3*w + 15. Let d(v) be the first derivative of y*v**2 - 2 + 0*v**5 - 4/3*v**3 - 1/3*v**6 + 0*v + 3/2*v**4. Factor d(h).
-2*h**2*(h - 1)**2*(h + 2)
Let r(i) be the third derivative of -i**5/30 - i**4/12 + 2*i**3/3 - 6*i**2. Factor r(w).
-2*(w - 1)*(w + 2)
Suppose -h = -3*m + 11, -5*h - 17 = -75*m + 79*m. Factor -2/5*x**m - 2/5 + 4/5*x.
-2*(x - 1)**2/5
Let x(d) = 5*d**4 - 8*d**3 + 2*d + 1. Let n(t) = 0*t + t + 0 + 0. Let b be n(5). Let u(p) = -4*p**4 + 7*p**3 - 2*p - 1. Let q(r) = b*x(r) + 6*u(r). Factor q(g).
(g - 1)*(g + 1)**3
Let n = 144 + -142. Suppose 5*k - 5 = -p + 5, p - 4 = -3*k. Determine z, given that n + 20*z**k - 43/2*z**2 + 75/2*z**4 - 2*z = 0.
-1, -1/3, 2/5
Suppose -11 = 3*x - 4*q, 3*q + q = 4*x + 8. Let f be 16/(-1 + x) - 3. Determine l, given that -19/4*l**4 - 1/4*l**2 + 0 + 7/4*l**f + 15/4*l**3 - 1/2*l = 0.
-2/7, 0, 1
Suppose 0*q + 1 = -3*l + 4*q, -l + 1 = -2*q. Let j = 2 - l. Suppose 1 - 6*m + j*m**2 - 5 - 7*m**2 = 0. Calculate m.
-2, -1
Let t(s) be the first derivative of -1/4*s**4 - 3 + 3/20*s**5 + 0*s - 1/12*s**3 + 1/4*s**2. Factor t(c).
c*(c - 1)**2*(3*c + 2)/4
Let 2/7*h**4 + 0 + 8/7*h - 8/7*h**3 - 2/7*h**2 = 0. What is h?
-1, 0, 1, 4
Let m(x) be the first derivative of -2*x + 14/3*x**3 - 3/2*x**2 - 12/5*x**5 + 7/6*x**6 - 2 - x**4. Factor m(n).
(n - 1)**3*(n + 1)*(7*n + 2)
Suppose -5*c - 16 = 3*l + l, -2*c - 16 = 4*l. Let o be (24/(-18))/4 - (-4)/6. Determine j so that -1/3*j**5 + 0 - 2/3*j**2 + o*j + 2/3*j**4 + c*j**3 = 0.
-1, 0, 1
Let b be 2*2 - (-22)/11. Let n(s) be the second derivative of 0 - 1/3*s**b - s + 0*s**2 + 2/3*s**3 - 4/5*s**5 - 1/6*s**4. Let n(r) = 0. Calculate r.
-1, 0, 2/5
Let z(b) be the third derivative of -2*b**2 - 1/90*b**5 + 0*b + 4/9*b**3 + 0 + 0*b**4. Find r, given that z(r) = 0.
-2, 2
Let x = 3 - 5. Let s be 0/(-1) - x/5. Factor s + 2/5*y - 2*y**2 + 6/5*y**3.
2*(y - 1)**2*(3*y + 1)/5
Suppose -4 = -0*p - 2*p. Let h be 5/(-25)*(-5)/p. Factor 1/2*o**2 - h*o - 1/2 + 1/2*o**3.
(o - 1)*(o + 1)**2/2
Let s(h) be the third derivative of h**7/735 + h**6/420 - h**5/210 - h**4/84 + 5*h**2. Factor s(b).
2*b*(b - 1)*(b + 1)**2/7
Factor 2/7*m**2 - 8/7*m + 8/7.
2*(m - 2)**2/7
Let u(t) be the first derivative of 2*t**6/9 + 4*t**5/15 - t**4/3 - 4*t**3/9 - 17. Factor u(d).
4*d**2*(d - 1)*(d + 1)**2/3
Factor -17*b - b - 8 + 4*b**4 + 4*b**2 + 6*b + 12*b**3.
4*(b - 1)*(b + 1)**2*(b + 2)
Factor -3/7*i - 9/7*i**3 + 0 - 3/7*i**4 - 9/7*i**2.
-3*i*(i + 1)**3/7
Let k(x) be the first derivative of x**4 + 7*x**3/3 + x**2 - x - 5. Solve k(l) = 0.
-1, 1/4
Let u(j) be the first derivative of -3*j**5/25 + 3*j**4/10 + 3*j**3/5 - 32. Factor u(s).
-3*s**2*(s - 3)*(s + 1)/5
Let f(s) be the second derivative of 3*s**7/14 - s**6/5 - 3*s**5/20 - 2*s. Factor f(d).
3*d**3*(d - 1)*(3*d + 1)
Factor 40*s**2 - 22*s**2 + 21*s - 19 - 21*s**2 + 1.
-3*(s - 6)*(s - 1)
Let w(i) be the third derivative of i**6/660 - 2*i**5/165 - i**4/12 - 2*i**3/11 + 9*i**2. Factor w(b).
2*(b - 6)*(b + 1)**2/11
Determine n, given that -9*n**3 + 12*n**2 - 21*n**4 + 4 - 1 + 30*n + 6 - 21*n**3 = 0.
-1, -3/7, 1
What is b in -4*b - 28*b**2 + 2*b + 30*b**2 = 0?
0, 1
Suppose 5 = 3*m + 5*y - 29, 4*m = -4*y + 32. Suppose 3*l = -m*a + a + 6, -4 = -2*l - 5*a. Determine d so that 4 + l*d**2 - 10*d + d**2 + 5*d**2 - 2*d**3 = 0.
1, 2
Let f(v) be the second derivative of 0*v**2 - 1/66*v**4 + 0 + 3*v + 1/33*v**3. Factor f(x).
-2*x*(x - 1)/11
Factor -75*o - 42*o**2 + 73*o + 0*o**2 + 4.
-2*(3*o + 1)*(7*o - 2)
Solve 211*y - 1024 - 176*y**2 - 208*y**2 + 64*y**3 - 4*y**4 + 813*y = 0.
4
Let d(g) = -9*g**3 + 9*g**2 + 12*g - 6. Let k(q) = -q**2 - q. Suppose -2*v = -4*v. Let f = 3 + v. Let j(w) = f*k(w) + d(w). Determine s so that j(s) = 0.
-1, 2/3, 1
Let d(g) be the second derivative of g**5/30 - 5*g**4/18 + 7*g**3/9 - g**2 + 4*g. Factor d(w).
2*(w - 3)*(w - 1)**2/3
Let v(b) be the third derivative of b**6/600 + 7*b**5/100 - 3*b**4/8 + 23*b**3/30 + 3*b**2 + 10. Suppose v(q) = 0. What is q?
-23, 1
Let y(a) be the third derivative of 5*a**8/112 + 4*a**7/35 + a**6/40 - a**5/10 - 10*a**2. Factor y(r).
3*r**2*(r + 1)**2*(5*r - 2)
Let w(l) be the third derivative of 0*l + 1/84*l**4 + 1/210*l**6 + 1/70*l**5 + 2*l**2 + 0*l**3 + 0. Let w(f) = 0. Calculate f.
-1, -1/2, 0
Find o, given that -8*o**3 + 4*o**4 + 12 - 12 + 4*o**2 = 0.
0, 1
Suppose -v = 3 - 7. Suppose v*g = -3*g + 21. Factor -2*d - g*d**2 - 1/3 - 4/3*d**3.
-(d + 1)**2*(4*d + 1)/3
Let o(d) be the second derivative of -d**4/21 + 4*d**3/21 + 16*d**2/7 - 25*d. Find w such that o(w) = 0.
-2, 4
Let q be -1*((-3)/2)/((-45)/(-12)). Suppose 0*z - q + 2/5*z**2 = 0. What is z?
-1, 1
Let n(y) be the first derivative of -3*y**4/4 - y**3 + 3*y**2/2 + 3*y - 1. Factor n(m).
-3*(m - 1)*(m + 1)**2
Let u(a) = -3*a**2 - 11 + 4 - 7 + 13*a - 8. Let i(n) = 3*n**2 - 14*n + 23. Let c(g) = 5*i(g) + 4*u(g). Factor c(b).
3*(b - 3)**2
Let i(t) = 3*t - 3. Let s be i(3). Factor 2*b**2 - 9*b**4 + s*b**4 - 2*b**3 + b**3.
-b**2*(b + 1)*(3*b - 2)
Suppose i - 3 = -4*f + 4, 3*f = 2*i - 36. Suppose -2*n - 11 = -i. Solve -3/5*h + 3/5*h**3 + 0*h**n + 0 = 0 for h.
-1, 0, 1
Let z(l) be the first derivative of 2/5*l**2 + 1/15*l**3 + 4 + 4/5*l. Solve z(h) = 0 for h.
-2
Suppose -3*t + 14 = 3*y - 1, 3*y = 0. Let g = t + -9/2. Factor -1/2*m**2 + 1/2*m**3 + 1/2 - g*m.
(m - 1)**2*(m + 1)/2
Solve 5/3*w**2 + 0*w + 0 - 1/3*w**3 = 0.
0, 5
Suppose -2*f = -5*f + 6. Suppose f*v**2 - 2*v + 14*v + 58 - 40 = 0. Calculate v.
-3
Let r(p) = p**3 + 4*p**2 + 2*p + 4. Let h be r(-4). Let x be (h/14)/((-3)/21). Factor 2 - 4 + 1 + k**x.
(k - 1)*(k + 1)
Suppose 1 = 2*p + 5, -5 = 3*t + p. Let q = 4 + t. Factor -1/2*s**4 +