32*h**5 + 2112*h**4 + 916*h**3 + 72*h**2. Let d(l) = -128*l**5 - 325*l**4 - 141*l**3 - 11*l**2. Let o(s) = 32*d(s) + 5*m(s). Factor o(j).
4*j**2*(j + 2)*(4*j + 1)**2
Let v(l) = 8*l**5 + 12*l**4 - 8*l**2 - 6. Let b(d) = d**5 + d**4 - 1. Let f(g) = -6*b(g) + v(g). Factor f(z).
2*z**2*(z - 1)*(z + 2)**2
Factor -5*z**2 - 37 - 7*z + 10*z**3 + 32 + 5*z**5 + 15*z**4 - 8*z - 5*z**2.
5*(z - 1)*(z + 1)**4
Let q be ((-1)/(-1)*(-4)/20)/(-1). Suppose -1/5*v**2 + 1/5*v + 1/5*v**4 - q*v**3 + 0 = 0. Calculate v.
-1, 0, 1
Let n = -10 - -14. Let -n*d**2 + 5*d - 4*d**2 - 11*d + 2 = 0. What is d?
-1, 1/4
Let l(x) be the first derivative of 0*x**3 + 1/30*x**6 + 1/10*x**5 + 1/12*x**4 + 3 + 3*x + 0*x**2. Let a(n) be the first derivative of l(n). Factor a(h).
h**2*(h + 1)**2
Let j be 1/(-3) + -28*1/(-12). Let p(f) be the second derivative of -1/2*f**3 + f + 0 - 1/20*f**5 + 1/4*f**4 + 1/2*f**j. Factor p(t).
-(t - 1)**3
Let c(v) be the second derivative of v**4/24 + v**3/6 + v**2/4 - 7*v. Factor c(w).
(w + 1)**2/2
Let r(m) be the third derivative of 0*m - 1/12*m**4 + 1/9*m**3 + 4/315*m**7 + 1/60*m**6 + 0 + 4*m**2 - 1/18*m**5. Solve r(q) = 0.
-1, 1/4, 1
Let n be 9/6*5 - 3. Factor -3/2*r + 15/2*r**2 - 3/2 - n*r**3.
-3*(r - 1)**2*(3*r + 1)/2
Let n(d) = -d**3 - d**2 - d + 1. Let t(k) = 14*k**3 + 28*k**2 + 54*k + 24. Let p(j) = -12*n(j) - t(j). Find m, given that p(m) = 0.
-3, -2
Let f(c) be the third derivative of c**8/11200 - c**7/1400 + c**6/400 - c**5/200 + 5*c**4/24 - c**2. Let g(u) be the second derivative of f(u). Factor g(n).
3*(n - 1)**3/5
Let v(i) = -i**3 - 18*i**2 - 45*i + 3. Let q be v(-15). Let 2/5 + 3/5*d - 1/5*d**2 - 3/5*d**q - 1/5*d**4 = 0. What is d?
-2, -1, 1
Let w(x) be the second derivative of 0*x**3 + 1/5*x**5 + 25/42*x**7 + 3*x + 0*x**2 - 2/3*x**6 + 0 + 0*x**4. Find r, given that w(r) = 0.
0, 2/5
Let d(o) be the second derivative of o**5/70 + o**4/21 + o**3/21 + 5*o. Factor d(n).
2*n*(n + 1)**2/7
Let r be 2/(-5) + 22/5. Let f be 7 + 4/(-4)*2. Suppose 4/5*j**f - 1/5*j**2 + 0 + 9/5*j**3 - 1/5*j - 11/5*j**r = 0. Calculate j.
-1/4, 0, 1
Let h(d) be the first derivative of 0*d + 1/15*d**3 - 9 - 3/20*d**4 + 1/5*d**2. Determine r so that h(r) = 0.
-2/3, 0, 1
Let q(o) be the second derivative of -o**5/80 + o**4/48 + o. Determine s, given that q(s) = 0.
0, 1
Let v(y) be the first derivative of -y**6/540 - y**5/30 - y**4/4 - y**3/3 + 3. Let x(r) be the third derivative of v(r). Factor x(m).
-2*(m + 3)**2/3
Let g = 91 - 272/3. What is t in t + 2/3 + g*t**2 = 0?
-2, -1
Let c be (4/(-3) + (3 - 1))/2. Determine i so that c*i**2 - 2/3*i + 0 = 0.
0, 2
Suppose -3*o**3 + 2*o**2 - 11*o**2 + 9*o**2 + 3*o = 0. What is o?
-1, 0, 1
Let u(x) = 3*x**5 - 10*x**4 - 2*x**3 + 10*x**2 - x. Let c(a) = a**5 + a**4 - a**3 - 1. Let s(k) = 6*c(k) + 3*u(k). Find h such that s(h) = 0.
-1, -2/5, 1
Suppose 46 = 19*k + 8. Let k*h**2 + 0 + 2*h**3 + 2/3*h + 2/3*h**4 = 0. Calculate h.
-1, 0
Let u = 14 - 1. Let o be (0/u)/((-2)/2). Let -2/5*b**2 + 2/5*b + o = 0. What is b?
0, 1
Let o(d) be the first derivative of -d**7/840 + d**6/120 - d**5/40 + d**4/24 + 2*d**3/3 + 2. Let y(i) be the third derivative of o(i). Factor y(x).
-(x - 1)**3
Let d(y) be the third derivative of y**7/630 - y**5/180 - 2*y**2. Factor d(s).
s**2*(s - 1)*(s + 1)/3
Let l(v) be the second derivative of v**7/840 + v**6/180 - v**5/120 - v**4/12 + 2*v**3/3 + 5*v. Let m(t) be the second derivative of l(t). Factor m(h).
(h - 1)*(h + 1)*(h + 2)
Let c be (-15)/(-30) + 14/8. Suppose 5*k - 41 = 4*b, -3*k = 4*b - 0 + 1. What is f in -15/4*f**4 - 1 - c*f**k + 5/4*f**3 + 0*f + 15/4*f**2 = 0?
-1, 2/3
Let f(z) be the first derivative of -z**3/18 - z**2/3 - z/2 - 8. Factor f(u).
-(u + 1)*(u + 3)/6
Suppose t - 8*y = -4*y + 16, 16 = 3*t - 4*y. Let s(c) be the third derivative of 1/36*c**6 + 2/15*c**5 + 2*c**2 + t*c**3 + 0*c + 1/9*c**4 + 0. Factor s(u).
2*u*(u + 2)*(5*u + 2)/3
Let s(m) = m**5 - m**4 - m**3 + m**2 + 1. Let a(k) = -k**5 + 5*k**4 - k**3 - 7*k**2 + 2*k - 1. Let p(y) = 2*a(y) + 6*s(y). Factor p(t).
4*(t - 1)**2*(t + 1)**3
Let a = -1/75 + 79/300. Let o(d) be the first derivative of -1/5*d**5 - a*d**4 - 1 + 0*d + 0*d**2 + 0*d**3. Factor o(j).
-j**3*(j + 1)
Factor 0*j + 0 - 2/3*j**3 + 2/3*j**2.
-2*j**2*(j - 1)/3
Let y(o) be the first derivative of o**6/6 - 2*o**5/5 + 2*o**3/3 - o**2/2 + 5. Factor y(m).
m*(m - 1)**3*(m + 1)
Suppose 0*s - 4*s - 3*s = 0. Let r(d) be the second derivative of -1/30*d**5 - 2*d + 1/18*d**4 + 0*d**3 + s + 0*d**2. Let r(c) = 0. What is c?
0, 1
Let t(b) be the first derivative of b**6/60 + b**5/5 + 3*b**4/4 - 2*b**2 - 1. Let z(u) be the second derivative of t(u). Factor z(f).
2*f*(f + 3)**2
Let i = -787/5 - -158. Let l(t) be the first derivative of 2/15*t**3 - 3/10*t**4 + 3 - 2/5*t + i*t**2. Find r such that l(r) = 0.
-1, 1/3, 1
Let a(w) = 7*w**5 - 15*w**4 + 10*w**3. Let k(c) = -190*c**5 + 405*c**4 - 270*c**3. Let h(f) = 55*a(f) + 2*k(f). Find d such that h(d) = 0.
0, 1, 2
Let v(y) = y**3 - 4*y**2 + y - 2. Let u be v(4). Let i be 2/(-6) + 3/9. Determine j, given that -1/4*j**u - 1/4*j + i = 0.
-1, 0
Let i = -5 + 10. Let c(u) be the third derivative of 0*u + 0 - 1/18*u**3 + 1/180*u**i - u**2 + 0*u**4. Solve c(k) = 0.
-1, 1
Let i = 65/138 - -2/69. Factor -1/2 - s**2 + 3/2*s**4 - i*s**5 + 3/2*s - s**3.
-(s - 1)**4*(s + 1)/2
Suppose 8*t = 4*t + 12. Suppose -2*p + t*p + 1 = h, -5*h = 4*p - 14. Let 2/5*q**h + 2/5 + q = 0. Calculate q.
-2, -1/2
Let z(b) be the first derivative of b**3/3 + 6*b**2 + 36*b - 20. Factor z(p).
(p + 6)**2
Let d(u) be the second derivative of -u**8/252 - u**7/105 + u**5/90 - u**2/2 - 2*u. Let c(a) be the first derivative of d(a). Find o such that c(o) = 0.
-1, 0, 1/2
Let b(z) be the first derivative of -1/8*z**2 + 0*z - 5 - 1/12*z**3. Find d such that b(d) = 0.
-1, 0
Let u(c) be the second derivative of c**5/20 + c**2/2 + c. Let f(s) be the first derivative of u(s). Determine d, given that f(d) = 0.
0
Factor 3*l - l - 8*l - 3*l**2.
-3*l*(l + 2)
Suppose -2/9*p**5 + 4/9*p**3 - 2/9 - 2/9*p**4 - 2/9*p + 4/9*p**2 = 0. What is p?
-1, 1
Let m(h) = -12*h**4 - 3*h**3 + 15*h**2 + 3*h + 3. Let a(r) = -4*r**3 + 2 + 0*r - 13*r**4 - 5*r**2 + 20*r**2 + 4*r. Let t(p) = -3*a(p) + 2*m(p). Factor t(c).
3*c*(c - 1)*(c + 1)*(5*c + 2)
Suppose -2*t + 8 = -2*r - 4*t, r + 3*t = -12. Find q such that -2/7*q**5 - 12/7*q**3 + 8/7*q**4 + r - 2/7*q + 8/7*q**2 = 0.
0, 1
Let l(z) be the first derivative of z**6/6 + 3*z**5/5 + z**4/2 + 12. Find q, given that l(q) = 0.
-2, -1, 0
Let t(y) be the first derivative of y**4/6 - y**3 + 2*y**2 + 7*y + 1. Let d(h) be the first derivative of t(h). Find o such that d(o) = 0.
1, 2
Let 2*w - 3*w - w**2 + 1 - 1 = 0. Calculate w.
-1, 0
Suppose 5*d - s + 1 = 0, -6*d + 2*s = -3*d + 2. Factor -1/2*f**3 + d + f**2 - 1/2*f.
-f*(f - 1)**2/2
Let r(v) be the second derivative of -1/20*v**5 + 0*v**2 + 0 + 0*v**3 + 3*v - 1/12*v**4. Suppose r(q) = 0. Calculate q.
-1, 0
Let x(a) be the third derivative of a**8/336 - a**6/40 - a**5/30 + 14*a**2. Factor x(c).
c**2*(c - 2)*(c + 1)**2
Let q(c) be the third derivative of -121*c**8/224 + 319*c**7/140 - 47*c**6/16 + c**5/40 + 2*c**4 + c**3 - 10*c**2. Determine d so that q(d) = 0.
-2/11, 1
Solve -1/2*h**2 + 0 + 1/2*h**3 - 1/2*h + 1/2*h**4 = 0.
-1, 0, 1
Let w(f) be the third derivative of 0*f**5 + 0 + 3*f**2 + 0*f - 1/315*f**7 + 1/9*f**3 - 1/18*f**4 + 1/90*f**6. Factor w(a).
-2*(a - 1)**3*(a + 1)/3
Let 1/4*d + 0 - 1/4*d**2 = 0. Calculate d.
0, 1
Let t(a) = 3*a**2 - 6*a - 7. Let o(m) = -m - 2. Let l be o(-3). Let p(r) = 3*r + l + 0 - 2*r. Let q(d) = -10*p(d) - 2*t(d). Solve q(i) = 0 for i.
-2/3, 1
Let g(t) be the second derivative of t**5/60 + t**4/12 + t**3/6 + t**2/6 + 3*t. Factor g(u).
(u + 1)**3/3
Solve -3/4*f**2 + 9/4*f**4 - 15/4*f**3 - 3/2 + 15/4*f = 0 for f.
-1, 2/3, 1
Let q be 1*(-3)/3 + 2. Solve 9*c + 3 + c**2 - 11*c - 3 + q = 0.
1
Let v(o) be the third derivative of 5*o**5/66 - 10*o**4/33 + 16*o**3/33 - o**2. Factor v(h).
2*(5*h - 4)**2/11
Let x = -2 + 11. Suppose 6 = 5*w - x. Determine m so that 16/9*m**2 + 0 - 8/9*m + 2/9*m**4 - 10/9*m**w = 0.
0, 1, 2
Suppose 0 = -2*l + 3*l - 4. Let -16*p**2 - l*p**3 - 16*p + 0*p**3 + 38*p**2 - 2*p**3 - 8 = 0. What is p?
-1/3, 2
Let i be ((-2)/(-2))/(-1) + 7. Let p = 9 - i. Determine q so that -2*q**2 - 35*q**5 