o**2 + 1/24*o**4 + 0. Factor p(b).
-(b - 1)**2*(b + 1)
Suppose -14*o**2 + 72/5*o**4 + 24/5*o**3 - 24/5*o - 2/5 = 0. Calculate o.
-1, -1/6, 1
Let n(y) be the second derivative of -3*y**4/4 + 4*y**3 - 6*y**2 - 6*y. Let n(r) = 0. Calculate r.
2/3, 2
Let u(s) be the first derivative of 98/15*s**5 - 161/18*s**4 - 5 + 16/9*s + 4*s**2 - 20/9*s**3. Solve u(o) = 0 for o.
-2/7, 2/3, 1
Suppose -26 = -5*b + 4. Let c(v) be the first derivative of 0*v**2 - 2/21*v**3 - 1/21*v**b + 1 + 0*v - 6/35*v**5 - 3/14*v**4. Factor c(k).
-2*k**2*(k + 1)**3/7
Factor 2/3*q**2 - 4/9*q + 0 - 2/9*q**3.
-2*q*(q - 2)*(q - 1)/9
Let h = 45 + -45. Let f(x) be the third derivative of 0 - 1/12*x**4 + h*x**5 + 1/6*x**3 + 1/60*x**6 - 2*x**2 - 1/210*x**7 + 0*x. Factor f(k).
-(k - 1)**3*(k + 1)
Let c(o) = 2*o**2 + o + 1. Suppose 5*u - 2*d = -0*d - 13, -12 = -4*u - 4*d. Let w be c(u). Suppose -a**2 - a**2 - w + 5 - a**2 = 0. What is a?
-1, 1
Let t(m) = m**4 + 21*m**3 + 26*m**2 - 6*m - 6. Let o(n) = -2*n**4 - 22*n**3 - 27*n**2 + 7*n + 7. Let z(u) = 6*o(u) + 7*t(u). Factor z(s).
-5*s**2*(s - 4)*(s + 1)
Factor 5/3*x**2 + 0 + 5/3*x.
5*x*(x + 1)/3
Let c be -1 - (42/(-15) - -1). Factor -2/5*n - c*n**2 - 2/5*n**3 + 0.
-2*n*(n + 1)**2/5
Let r(i) be the third derivative of i**7/1050 + i**6/300 - i**4/60 - i**3/30 - 7*i**2. Suppose r(b) = 0. What is b?
-1, 1
Suppose 0 = -4*j + 17 - 5. Let t(l) be the third derivative of 0*l + 2*l**2 + 1/6*l**j + 0*l**4 + 0 - 1/60*l**5. Factor t(m).
-(m - 1)*(m + 1)
Solve -3*x - 2*x**3 + 0*x**3 + 5*x + 5*x**2 - x**3 = 0 for x.
-1/3, 0, 2
Factor -3/2*j**3 - 1/4*j**4 + 27/2*j + 0*j**2 + 81/4.
-(j - 3)*(j + 3)**3/4
Let d(f) be the second derivative of f**6/30 + 9*f**5/20 + 7*f**4/4 + 19*f**3/6 + 3*f**2 - 21*f. Solve d(t) = 0.
-6, -1
Suppose 0 = -q + 5*q - 12. What is p in 3 + 8 - p - 2*p**2 - q*p - 5 = 0?
-3, 1
Let s(f) be the third derivative of -f**10/226800 + f**9/90720 + f**5/12 + 5*f**2. Let t(z) be the third derivative of s(z). Determine n, given that t(n) = 0.
0, 1
Suppose -33 = -4*l - 9. Suppose -4*v + 8 = -2*a + l*a, 3*a = v + 6. Solve -2/3*j**a + 0*j + 1/3*j**3 + 0 = 0.
0, 2
Let j(m) be the third derivative of m**6/180 + m**5/60 + m**4/48 - m**3/3 + 2*m**2. Let g(z) be the first derivative of j(z). Factor g(y).
(2*y + 1)**2/2
Let x(d) be the second derivative of 2*d + 0*d**2 + 0 + 0*d**4 + 1/50*d**5 - 1/15*d**3. Factor x(h).
2*h*(h - 1)*(h + 1)/5
Let -243*c + 2*c**4 + 243*c = 0. What is c?
0
Solve 2*q - q**2 + 2*q - 3*q = 0 for q.
0, 1
Let m be 20/(-6)*48/(-20). Let r be (1 + 0)/(28/m). Solve -r*i**3 + 0*i - 4/7*i**4 + 0 - 2/7*i**5 + 0*i**2 = 0.
-1, 0
Let s be 2/10 - (-3)/(-15). Let l = s + 2. Solve -2*i**4 - 3 + l*i**2 + 3 + 2*i**3 - 2*i = 0.
-1, 0, 1
Let s(d) = d**3 + 6*d**2 + d + 7. Let a be s(-6). Let i = a + 1. Find k such that 2/7*k**i + 4/7*k + 2/7 = 0.
-1
Let b(s) be the first derivative of s**6/210 + s**5/210 - s**4/84 - s**2 + 1. Let w(o) be the second derivative of b(o). Factor w(j).
2*j*(j + 1)*(2*j - 1)/7
Let t(u) be the first derivative of u**3/6 - 3*u**2/8 - u/2 + 5. Determine w so that t(w) = 0.
-1/2, 2
Suppose -10 + 6 = -2*b. Factor 2/7*j**3 + 0*j - 2/7*j**b + 0.
2*j**2*(j - 1)/7
Let v(x) be the second derivative of x**7/105 - x**5/50 + 10*x. Determine l, given that v(l) = 0.
-1, 0, 1
Let b = 4 - 1. Factor 27*g - 9*g + 3 + 12*g**3 + 17*g**2 + 7*g**2 + b*g**2.
3*(g + 1)**2*(4*g + 1)
Let d(k) be the second derivative of -3*k**5/10 + 4*k**4/3 - k**3 - 2*k**2 + 28*k. Solve d(x) = 0 for x.
-1/3, 1, 2
Let l = -1 + 3. Factor -4*z - 6*z**l + 0*z + 2 + 0*z.
-2*(z + 1)*(3*z - 1)
Suppose 0 = -5*x + x + 16. Factor -1/2*f**3 + 1/4 + 1/4*f + 1/4*f**x - 1/2*f**2 + 1/4*f**5.
(f - 1)**2*(f + 1)**3/4
Let i(u) be the third derivative of u**8/168 - u**7/105 - u**6/60 + u**5/30 - 2*u**2. Factor i(w).
2*w**2*(w - 1)**2*(w + 1)
Suppose -5*g - b + 17 = 0, -3*g - 2 = -b - 9. Suppose 3*t + 6 = 0, 0 = -3*j - g*t + 4*t + 11. Factor 0 - 4/3*k**2 + 4/3*k + 1/3*k**j.
k*(k - 2)**2/3
Let i be 16/12*6/20. Let 4/5 - 2/5*j**2 + i*j = 0. What is j?
-1, 2
Let n(v) be the second derivative of v**5/120 - 11*v**4/72 + 19*v**3/36 - 3*v**2/4 - 8*v + 2. Determine m so that n(m) = 0.
1, 9
Let g(i) be the first derivative of 2*i - 1 - 3*i**2 - 1/2*i**4 + 2*i**3. Factor g(u).
-2*(u - 1)**3
Determine l so that -4/3*l**5 + 0 + 4/3*l**4 + 4/3*l**3 - 4/3*l**2 + 0*l = 0.
-1, 0, 1
Let -3 + 4*z + 0*z**3 + 0*z**3 + 2*z**2 + z**4 - 6*z**3 + 2*z**3 = 0. Calculate z.
-1, 1, 3
Let n(a) = 3*a**5 + 3*a**4 - 3*a**3 + a**2 + 2*a + 2. Let t(u) = 16*u**5 + 16*u**4 - 15*u**3 + 6*u**2 + 10*u + 11. Let l(k) = -11*n(k) + 2*t(k). Factor l(v).
-v*(v - 1)**2*(v + 1)*(v + 2)
Suppose 5*n + 5*f = 0, -n + 4*f + 9 = -16. Factor j**n + 0 - 5*j**5 + 2*j**5 + 4*j**2 - 2*j**4 - 2*j + 4*j**3 - 2.
-2*(j - 1)**2*(j + 1)**3
Let d(y) be the first derivative of -y**8/840 + y**6/180 - y**3/3 + 1. Let z(w) be the third derivative of d(w). Suppose z(c) = 0. Calculate c.
-1, 0, 1
Suppose 4*b + 5*s = 0, -9*s = -2*b - 7*s. Let -2/5*g**4 + b*g**3 - 2/5 + 4/5*g**2 + 0*g = 0. Calculate g.
-1, 1
Let g(w) be the third derivative of 0*w + w**2 + 1/105*w**7 + 0*w**3 - 1/6*w**4 - 1/30*w**5 + 0 + 1/30*w**6. Suppose g(d) = 0. What is d?
-2, -1, 0, 1
Let m(u) be the second derivative of u**7/7560 + u**6/720 + u**5/180 + u**4/6 - 4*u. Let c(z) be the third derivative of m(z). Factor c(i).
(i + 1)*(i + 2)/3
Let x(w) be the first derivative of 6*w**5/5 - 5*w**4/4 - 2*w**3/3 + w**2/2 + 54. Let x(d) = 0. What is d?
-1/2, 0, 1/3, 1
Let p(g) be the first derivative of -2/5*g**5 + 4*g + 5*g**2 - 1 - 1/2*g**4 + 2*g**3. Factor p(a).
-2*(a - 2)*(a + 1)**3
Let x(t) be the third derivative of t**9/18144 + 17*t**8/30240 + t**7/1260 - t**5/10 - 5*t**2. Let g(w) be the third derivative of x(w). Factor g(s).
2*s*(s + 3)*(5*s + 2)/3
Let t = -4 + 6. Let c(h) be the second derivative of 0*h**4 + 0*h**t - 1/35*h**6 - h + 1/70*h**5 + 0*h**3 + 0. Solve c(q) = 0.
0, 1/3
Let r(a) be the first derivative of 5*a**6/6 - 3*a**5 + 15*a**4/4 - 5*a**3/3 - 6. Determine o, given that r(o) = 0.
0, 1
Let a(v) = v**2 - 8*v + 9. Let r be a(7). Solve -2*t**2 - r*t**3 - 1 + 3 - 3*t + 5*t = 0 for t.
-1, 1
Let k be (-5 - 3)*(-2)/4. Factor 4*c**2 - 4*c**2 + c**4 - 3*c**k.
-2*c**4
Factor -1/2*q**2 - 1/2*q + 1/2*q**3 + 0 + 1/2*q**4.
q*(q - 1)*(q + 1)**2/2
Let k be 5*4*(-2)/(-20). Solve 0*h - 3/2*h**3 + 0 + 0*h**k = 0.
0
Let l = 30 - 149/5. What is m in -l*m + 0 + 1/5*m**2 = 0?
0, 1
Let j(s) be the second derivative of -s**6/30 + s**5/5 - s**4/2 + 2*s**3/3 - s**2/2 + 10*s. Factor j(h).
-(h - 1)**4
Let x(f) = 68*f**2 + 53*f + 19. Let m(g) be the third derivative of 23*g**5/60 + 3*g**4/4 + g**3 + g**2. Let j(z) = 7*m(z) - 2*x(z). Factor j(b).
(5*b + 2)**2
Let x be 14/8 + (-2)/(-8). Factor 2*h**3 + 2*h - 6*h**2 - 4*h**3 + x + 0*h + 4*h**4.
2*(h - 1)**2*(h + 1)*(2*h + 1)
Let y = 2 + 0. What is v in -3*v**4 - 3*v**3 - y*v**2 - v**4 + 3*v**4 = 0?
-2, -1, 0
Let j(p) be the second derivative of p**5/100 + p**4/60 - 6*p. Find v such that j(v) = 0.
-1, 0
Let h(j) be the second derivative of 3/10*j**5 - 9/8*j**4 + 0*j**2 + 1/2*j**3 + 2*j + 0. Factor h(f).
3*f*(f - 2)*(4*f - 1)/2
Let k(j) be the second derivative of -j**6/150 + j**5/100 + j**4/60 - j**3/30 + 13*j. Factor k(x).
-x*(x - 1)**2*(x + 1)/5
Let g(l) be the third derivative of l**8/50400 - l**5/60 - 2*l**2. Let k(o) be the third derivative of g(o). What is d in k(d) = 0?
0
Suppose 84 = -23*i + 65*i. Factor 2*k + 2/3*k**3 + i*k**2 + 2/3.
2*(k + 1)**3/3
Let o be 12/18*(-2)/(-8). Let k(q) be the second derivative of -o*q**3 + 1/20*q**5 - 1/12*q**4 + 0*q**2 - 2*q + 0 + 1/30*q**6. Determine c so that k(c) = 0.
-1, 0, 1
Suppose 3*o + c = -25, o = -o + c - 15. Let f(v) = v + 10. Let m be f(o). Solve 8*l**m - 7*l**3 - 6*l**2 + 0*l**3 = 0 for l.
0, 2/7
Let p = 242/5 + -48. Let d(a) be the first derivative of -a**4 + 0*a**2 - p*a**5 + 0*a - 1 - 2/3*a**3. Factor d(i).
-2*i**2*(i + 1)**2
Let i(k) be the second derivative of k**4/42 + 2*k**3/21 - 3*k**2/7 - 5*k. Suppose i(c) = 0. What is c?
-3, 1
Factor 9/5*s**2 + 6 + 51/5*s.
3*(s + 5)*(3*s + 2)/5
Factor -1/4*z - 1/2*z**2 - 1/4*z**3 + 0.
-z*(z + 1)**2/4
Let z(m) = 7*m**3 + 19*m**2 + 20*m + 11. Let s(q) = -48*q**3 - 132*q**2 - 140*q - 76. Let a(t) = 3*s(t) + 20*z(t). Factor a(o).
-4*(o + 1)**2*(o + 