be the third derivative of 1/120*j**6 + 5*j**2 + 5/24*j**4 - 1/3*j**3 + 0*j - 1/15*j**5 + 0. Let m(l) = 0. Calculate l.
1, 2
Factor 0 + 6/5*f**2 - 1/5*f**3 - 1/5*f - 16/5*f**5 - 24/5*f**4.
-f*(f + 1)**2*(4*f - 1)**2/5
Suppose -2 = -4*j + 10. Let v(s) be the second derivative of 1/18*s**4 + 0*s**2 - 1/30*s**5 + 0*s**j + 0 + s. What is d in v(d) = 0?
0, 1
Let o be 0 + 1 + (-3 - -6). Factor -o*r**3 + 2*r**4 - 3*r**4 - r**4 - 2*r**2.
-2*r**2*(r + 1)**2
Let z be -1 - -3 - (-836)/(-419). Let d = z + 828/2095. Suppose 48/5*u**3 + d - 12/5*u + 2/5*u**2 + 32/5*u**4 = 0. What is u?
-1, 1/4
Factor 0*w - 1/3*w**2 - 1/3*w**4 + 2/3*w**3 + 0.
-w**2*(w - 1)**2/3
Let o(t) = t**4 - t**2 - t. Let x(d) be the second derivative of -7*d**6/30 + 3*d**5/20 + d**4/3 + 2*d**3/3 + 4*d. Let f(k) = 4*o(k) + x(k). Factor f(w).
-3*w**3*(w - 1)
Factor -8/3*j**2 + 4/3 + 4/3*j**4 + 0*j + 0*j**3.
4*(j - 1)**2*(j + 1)**2/3
Let q(p) = -p**3 + 8*p**2 + 11*p - 16. Let c be q(9). Let 4/7*k - 2/7*k**c + 6/7 = 0. What is k?
-1, 3
Let m = 149/4 - 37. Let c(n) be the first derivative of -2 + 1/2*n**2 + 2/3*n**3 + 0*n + m*n**4. Factor c(l).
l*(l + 1)**2
Factor 1 + 3*d + 3*d**2 + 0*d**3 + d**3 + 0*d**3.
(d + 1)**3
Solve 0*d**2 + d**2 - 4*d**2 + 4*d - d**2 = 0.
0, 1
Let w = 25 - -1. Let a be 1 + (w/9 - 1). Determine q so that 14/9*q**5 + 4/9*q - a*q**2 + 6*q**3 - 46/9*q**4 + 0 = 0.
0, 2/7, 1
Let j(v) be the first derivative of v**3 + 2*v**2 + v - 13. Suppose j(x) = 0. Calculate x.
-1, -1/3
Let y(m) = -8*m**2 + m - 11. Let d(c) = 5*c**2 - c + 6. Let t(h) = -5*d(h) - 3*y(h). Factor t(a).
-(a - 3)*(a + 1)
Let a(i) = 5*i**2 + 11*i + 6. Suppose 10 = -3*z - 2*z. Let k(j) = j**2 + 2*j + 1. Let v(t) = z*a(t) + 11*k(t). Factor v(w).
(w - 1)*(w + 1)
Let a(c) = -c**2 + 4*c - 2. Let k be a(2). Factor 4*b**4 - 6*b**4 + 0*b**4 + 2*b**3 - k*b + 2*b**2.
-2*b*(b - 1)**2*(b + 1)
Let b be (-22)/(-24) + ((-21)/12)/7. Factor 0 - 2/3*v**2 + 0*v + 4/3*v**3 - b*v**4.
-2*v**2*(v - 1)**2/3
Let p(r) be the third derivative of r**9/22680 - r**7/1260 + r**6/540 + r**4/6 + 5*r**2. Let u(t) be the second derivative of p(t). Let u(q) = 0. Calculate q.
-2, 0, 1
Let b(p) be the third derivative of p**10/10080 - p**8/2240 - p**4/12 + p**2. Let u(i) be the second derivative of b(i). Factor u(n).
3*n**3*(n - 1)*(n + 1)
Let s(b) be the second derivative of -1/2*b**2 + 0 + b**5 + 7/6*b**3 - 4/15*b**6 - 9*b - 3/2*b**4. Factor s(m).
-(m - 1)*(2*m - 1)**3
Let i = -36 - -50. Factor i*n**3 - 6*n**2 + 5*n**2 + 4*n - 2*n**3 - 11*n**2 - 4*n**4.
-4*n*(n - 1)**3
Let w(r) be the first derivative of -49*r**6/6 + 77*r**5/5 - 8*r**4 + 4*r**3/3 - 19. What is p in w(p) = 0?
0, 2/7, 1
Suppose 3*j - 14 = 10. Suppose 0 = 2*g - 3*g + j. Determine f, given that -4*f**4 + 4*f**2 - g*f**3 - f**5 + 4*f**5 + 2*f + 3*f**5 = 0.
-1, -1/3, 0, 1
Factor -k**4 + 6*k**4 + 14 - 16 + 7 - 10*k**2.
5*(k - 1)**2*(k + 1)**2
Let a(h) = h**2 - 1. Let b be a(-2). Let x(q) = q**2 + 5*q - 4. Let m be x(-6). Determine r so that r**4 - r**4 - 2*r - 2*r**4 + b*r**3 + 2*r**m - r**3 = 0.
-1, 0, 1
Let s be 2 - 35/20*1. Let j(x) be the first derivative of 1/12*x**3 + 1 + 1/4*x + s*x**2. Factor j(h).
(h + 1)**2/4
Let v(z) be the third derivative of 0 + 2*z**2 + 4/3*z**3 + 0*z + 1/6*z**4 - 1/15*z**5. Determine g, given that v(g) = 0.
-1, 2
Factor -2/5*j**2 + 0 + 4/5*j.
-2*j*(j - 2)/5
Let p be 4/(-6) - 40/(-15). Let 6*z**3 + 3*z**p + z + z - 2*z**3 - 9*z**2 = 0. Calculate z.
0, 1/2, 1
Let w be 58/(-8) + 2/8. Let z = w + 9. Find y, given that -8/9*y**z - 2/9 - 8/9*y = 0.
-1/2
Suppose -3*w + 12 = -3. Let x(s) be the first derivative of 0*s**2 - 1/12*s**3 - 2 - 1/8*s**4 + 3/20*s**w + 0*s. Factor x(k).
k**2*(k - 1)*(3*k + 1)/4
Let q = -4 - -6. Suppose q*d = -10, 5*d + 35 = 4*v + v. Factor 0*y + y + 0*y**3 + 2*y**v + y**3.
y*(y + 1)**2
Let b(f) be the third derivative of 5*f**8/2352 - 13*f**7/1470 - f**6/140 + f**5/21 + f**4/21 - 22*f**2. Determine p, given that b(p) = 0.
-1, -2/5, 0, 2
Suppose x - 5*x + 160 = 4*k, 122 = 3*k + 2*x. Let m = k + -124/3. Factor 2/3*b - m*b**3 + 2/3 - 2/3*b**2.
-2*(b - 1)*(b + 1)**2/3
Let z be 144/68 - 8/68. Suppose 0 = -0*p - z*p. Determine v, given that p - v + v**3 + 3/2*v**4 - 3/2*v**2 = 0.
-1, -2/3, 0, 1
Let a(t) be the first derivative of 0*t + 2/11*t**3 + 3/22*t**4 + 1/11*t**2 + 2/55*t**5 - 6. Solve a(j) = 0 for j.
-1, 0
Let j(m) be the first derivative of m**6/12 - 2*m**5/5 + m**4/2 + m**3/3 - 5*m**2/4 + m - 2. Factor j(k).
(k - 2)*(k - 1)**3*(k + 1)/2
Factor 5/2*t**2 + 5/2*t - 25/2*t**3 - 1/2 - 20*t**4 - 8*t**5.
-(t + 1)**3*(4*t - 1)**2/2
Let k(a) be the second derivative of -a**4/30 + a**3/5 + 4*a**2/5 + 10*a. Factor k(u).
-2*(u - 4)*(u + 1)/5
Let c(k) be the third derivative of -k**7/840 - k**6/360 + k**5/120 + k**4/24 - k**3/6 + 2*k**2. Let t(q) be the first derivative of c(q). Factor t(s).
-(s - 1)*(s + 1)**2
Let a(k) be the first derivative of 1/10*k**2 + 1/20*k**4 - 2 - k - 1/10*k**3 - 1/100*k**5. Let h(x) be the first derivative of a(x). Factor h(w).
-(w - 1)**3/5
Let c(v) be the third derivative of -v**5/90 + 2*v**4/9 - 16*v**3/9 + 2*v**2. Factor c(f).
-2*(f - 4)**2/3
Suppose 0*v - 3*v + 20 = p, -2*v + 35 = 5*p. Suppose -4*i = -p*i. Solve 1/2*t + 0 - 1/2*t**3 + i*t**2 = 0 for t.
-1, 0, 1
Let p be 219*(-14)/(-12)*-1. Let d = 261 + p. Suppose 6*s + 4 - 3*s**2 - 3/2*s**4 - d*s**3 = 0. Calculate s.
-2, -2/3, 1
Let w(o) be the third derivative of -2*o**7/105 + o**6/10 - o**5/5 + o**4/6 - 10*o**2. Factor w(m).
-4*m*(m - 1)**3
Let x be (-42)/(-10)*(-1862)/(-114). Factor 504/5*t**2 + 32*t - x*t**4 + 16/5 + 392/5*t**3.
-(t - 2)*(7*t + 2)**3/5
Let g(l) be the third derivative of -l**7/1575 - l**6/300 - l**5/150 - l**4/180 + 7*l**2. Suppose g(a) = 0. What is a?
-1, 0
Let r = 66177/17 + -3894. Let o = -3/85 - r. Factor o*q + 4/5*q**2 - 2/5*q**5 - 6/5*q**4 + 2/5 - 4/5*q**3.
-2*(q - 1)*(q + 1)**4/5
Suppose 5*t = -2 + 17. Let m(k) be the first derivative of 0*k**2 - 2 + 0*k - 1/3*k**t. Factor m(y).
-y**2
Let i(l) be the first derivative of -3 + 1/2*l**2 + 0*l + 1/3*l**3. Solve i(h) = 0.
-1, 0
Let w(b) be the third derivative of -b**7/630 - b**6/360 + b**5/60 + b**4/72 - b**3/9 + 23*b**2. Determine j, given that w(j) = 0.
-2, -1, 1
Suppose 5*w - 51 = n, 0 = -5*n - 5. Suppose 0 = -y - 4*y + w. Factor -3*r**3 + 2*r**y + 2*r**2 + r**3.
-2*r**2*(r - 2)
Let b = 66/17 + -560/153. Let x(r) be the second derivative of -1/3*r**2 - r + 0 + b*r**3 - 1/18*r**4. Factor x(q).
-2*(q - 1)**2/3
Let r be (-2)/(-4)*(-1 + 1). Let l(f) be the third derivative of 2*f**2 + 0 - 1/72*f**4 + r*f - 1/180*f**5 + 1/18*f**3 + 1/360*f**6. What is n in l(n) = 0?
-1, 1
Determine x, given that -27/5*x**2 - 3/5*x**3 - 81/5*x - 81/5 = 0.
-3
Let m(g) be the second derivative of 13/90*g**6 + 4*g + 0 - 11/30*g**5 + 1/2*g**4 - 7/18*g**3 - 1/42*g**7 + 1/6*g**2. Factor m(z).
-(z - 1)**4*(3*z - 1)/3
Let c(k) = -5*k**3 - 2*k**2 + 1. Let t be c(-1). Suppose 5*b = 4*s - 0*s - 157, b = 3*s - 126. Find y such that -43*y**3 - 4*y**5 + 3*y**5 - y**t + s*y**3 = 0.
-1, 0
Let x be 56/(-84)*-3*(-2)/(-16). Factor x*a + 1/2 - 1/4*a**2.
-(a - 2)*(a + 1)/4
Let v(w) be the third derivative of -2/15*w**3 - 2*w**2 + 0 + 0*w - 1/20*w**4 - 1/150*w**5. Solve v(x) = 0.
-2, -1
Let n(v) be the second derivative of 1/15*v**6 + 3*v - 1/63*v**7 + 0*v**2 + 0 + 0*v**4 + 0*v**3 - 1/15*v**5. Solve n(c) = 0.
0, 1, 2
Let j be ((-15)/10)/((-6)/16). Determine s, given that -s**2 - 4*s**2 - 3*s**j + 5*s**2 - 2*s**3 = 0.
-2/3, 0
Let g(n) = -10*n**2 - 4*n - 7. Let w(a) = 7*a**2 + 3*a + 5. Let i(p) = -5*g(p) - 7*w(p). Factor i(c).
c*(c - 1)
Let q(c) be the second derivative of c**9/30240 - c**8/6720 + c**7/5040 - c**4/3 + 3*c. Let k(y) be the third derivative of q(y). Solve k(b) = 0 for b.
0, 1
Let j(p) be the first derivative of 3*p**5 + 5*p**4 - 55*p**3/3 - 40*p**2 - 20*p - 14. Suppose j(q) = 0. Calculate q.
-2, -1, -1/3, 2
Let g(y) = y**2 - 3*y + 2. Let u be g(3). Determine l so that -6*l**3 - 14 - 2 - 8*l + 38*l**u + 54*l**2 - 90*l**4 = 0.
-1, -2/5, 2/3
Factor 4/5*p - 1/5*p**3 + 3/5*p**2 - 12/5.
-(p - 3)*(p - 2)*(p + 2)/5
Let k(j) be the first derivative of j**5/15 + j**4/12 - j**3/3 - j**2/6 + 2*j/3 - 4. Find t, given that k(t) = 0.
-2, -1, 1
Let z = 517 + -11369/22. Let q = z + 3/11. Factor q*c**2 + c + 1/2.
(c + 1)**2/2
Let