+ r*i**2 - 2/7*i**3.
-2*(i - 2)*(i + 1)**2/7
Factor -11*x**4 + 2 + 2 - 16*x**4 - 8*x**2 + 8*x**3 + 31*x**4 - 4*x**5 - 4*x.
-4*(x - 1)**3*(x + 1)**2
Suppose 0 = -2*d - 3*d - 20. Let h = 7 + d. Factor 1 + 5/4*o**h - 13/4*o**2 + o.
(o - 2)*(o - 1)*(5*o + 2)/4
Let m be (10/(-8))/((-1)/4). Suppose -18 = -m*r - 3. Determine o, given that -3*o**4 + 7*o**4 - r*o**4 = 0.
0
Factor 6 - 2*n**3 - 10 + 20 - 6*n**2 + 12*n.
-2*(n - 2)*(n + 1)*(n + 4)
Let k(y) be the first derivative of y**4/6 + y**3 + 2*y**2 - y - 1. Let m(n) be the first derivative of k(n). Factor m(v).
2*(v + 1)*(v + 2)
Let c(y) be the first derivative of -y**3 + 3*y + 2. Factor c(x).
-3*(x - 1)*(x + 1)
Let h(j) be the third derivative of -j**7/7 - 11*j**6/60 + 19*j**5/15 - j**4/3 - 8*j**3/3 + 5*j**2. Find a such that h(a) = 0.
-2, -2/5, 2/3, 1
Let v(u) be the second derivative of u**6/60 - u**5/20 + u**3/6 - u**2/4 - u. Determine t so that v(t) = 0.
-1, 1
Let l(c) = c**3 + 4*c**2 - 5*c - 15. Let f(y) = -y**2 - y + 1. Let o(k) = 3*f(k) + l(k). Determine w so that o(w) = 0.
-2, 3
Let o(v) be the second derivative of -v**5/140 + v**4/42 + v**3/42 - v**2/7 - 4*v. Factor o(z).
-(z - 2)*(z - 1)*(z + 1)/7
Let i(u) be the third derivative of -1/105*u**7 + u**2 + 1/15*u**5 + 0 + 0*u - 1/3*u**3 + 0*u**4 + 0*u**6. Factor i(m).
-2*(m - 1)**2*(m + 1)**2
Let q(g) be the first derivative of -g**5/20 - g**4/4 - g**3/2 - 3*g**2/2 + 2. Let v(w) be the second derivative of q(w). Factor v(r).
-3*(r + 1)**2
Let a(d) be the first derivative of 3*d**4/16 - 21*d**2/8 + 9*d/2 - 14. Factor a(q).
3*(q - 2)*(q - 1)*(q + 3)/4
Factor -4 + 4*d**2 - 10*d - 3*d**2 + 9 + 4*d**2.
5*(d - 1)**2
Let y(r) be the first derivative of -6*r**5/55 - 2*r**4/11 + 8*r**3/33 + 3. Solve y(s) = 0.
-2, 0, 2/3
Suppose 6 = 2*x - 5*z, 5*x + 0*z + 4*z - 15 = 0. Solve 2/3*i**x + 0*i + 0 + 0*i**2 = 0 for i.
0
Let f(k) be the first derivative of 0*k + 1/12*k**3 + 5 + 0*k**2 + 1/16*k**4. Factor f(x).
x**2*(x + 1)/4
Let u(l) be the third derivative of l**8/23520 - l**7/2205 + l**6/504 - l**5/210 - l**4/24 + 3*l**2. Let s(y) be the second derivative of u(y). Factor s(h).
2*(h - 2)*(h - 1)**2/7
Factor -21*m + 4*m**2 - 16 - 36*m**5 + 12*m**4 - 3*m + 22*m**3 + 38*m**5.
2*(m - 1)*(m + 1)*(m + 2)**3
Let r(q) be the first derivative of q**6/8 - 9*q**5/20 + 9*q**4/16 - q**3/4 + 24. Determine f, given that r(f) = 0.
0, 1
Let z(x) be the second derivative of x**8/1680 - x**7/840 - x**6/360 + x**5/120 - x**3/2 - 3*x. Let m(g) be the second derivative of z(g). Factor m(j).
j*(j - 1)**2*(j + 1)
Let h = 7/25 - -1/175. Factor 0 + 0*c + 2/7*c**3 - h*c**2.
2*c**2*(c - 1)/7
What is u in 16*u**2 - 20*u + 8 + 6*u**2 - 28*u = 0?
2/11, 2
Factor 12*p**3 + 18*p**3 - 48*p**3 + 1200*p - 4000 - 120*p**2 + 22*p**3.
4*(p - 10)**3
Suppose 12*x = -9*x + 84. Determine o so that 0 + 0*o + 2/9*o**x - 4/9*o**3 + 4/9*o**5 - 2/9*o**2 = 0.
-1, -1/2, 0, 1
Let n(t) be the first derivative of 4 + 1/6*t**4 + 2/9*t**3 - 2/3*t - 1/3*t**2. Factor n(o).
2*(o - 1)*(o + 1)**2/3
Let f = -3/146 - -79/292. Determine l, given that 3/4*l - f*l**2 - 1/2 = 0.
1, 2
Let w(y) be the first derivative of 5*y**3/9 - y**2/2 - 2*y/3 + 8. Factor w(z).
(z - 1)*(5*z + 2)/3
Let q(k) be the third derivative of -k**5/40 - k**4/8 - 3*k**2. Factor q(i).
-3*i*(i + 2)/2
Let w(z) be the third derivative of -z**9/90720 + z**8/30240 + z**7/7560 - z**6/1080 - z**5/30 + z**2. Let i(x) be the third derivative of w(x). Factor i(k).
-2*(k - 1)**2*(k + 1)/3
Let r(u) = 10. Let f(w) = -w**2 + w + 10. Let c(l) = -5*f(l) + 4*r(l). Let c(o) = 0. What is o?
-1, 2
Let -8*h + h**3 - 12*h**2 + 6*h**3 - 11*h**3 = 0. What is h?
-2, -1, 0
Factor 4/7*v + 0 - 2/7*v**2.
-2*v*(v - 2)/7
Let f(s) = -6*s - 21. Let a be f(-4). Factor q**a - 5/2*q**2 - 1/2 + 2*q.
(q - 1)**2*(2*q - 1)/2
Suppose 0*m - m - h = -1, 5*h - 5 = 4*m. Solve m*l**4 - 10*l + l**2 - l**4 + 10*l = 0 for l.
-1, 0, 1
Factor 0 + 0*k**2 - 2/7*k**4 + 0*k + 0*k**3.
-2*k**4/7
Factor 4/5*a**2 - 2/5*a - 2/5*a**3 + 0.
-2*a*(a - 1)**2/5
Let n be 1 + (-1 - 2/(-18)). Let v(d) be the second derivative of n*d**4 - 2/45*d**6 + 0*d**2 - d + 1/63*d**7 + 0 - 1/9*d**3 + 0*d**5. Factor v(y).
2*y*(y - 1)**3*(y + 1)/3
Let u be 5 - 9*2/6. Let q(f) = -f**3 + 3*f**2 + f - 1. Let t(k) = 10*k**2 - 3*k**2 - 4*k**3 - 2 + k**3 + 3*k. Let n(y) = u*t(y) - 5*q(y). Factor n(l).
-(l - 1)*(l + 1)**2
Let b be 4 + -1 - (-1488)/36. Let y = b + -647/15. Suppose 4/5*i**2 - 2*i**4 + y*i**3 + 0*i + 0 = 0. What is i?
-2/5, 0, 1
Factor 77*c**5 - c**4 - 79*c**5 - 3*c**4 - 2*c**3.
-2*c**3*(c + 1)**2
Let u(z) = -1. Let j(h) = -h**4 + h**3 + 2*h**2 + 7. Suppose -m + 4 = 7. Let a(o) = m*j(o) - 21*u(o). Let a(y) = 0. What is y?
-1, 0, 2
Let v(p) be the second derivative of -p**6/15 + 3*p**5/10 + p**4/3 - 4*p**3 + 8*p**2 - 9*p. Factor v(s).
-2*(s - 2)**2*(s - 1)*(s + 2)
Let f(a) = -2*a**2 + 3. Let g be f(-2). Let h(i) = i**2 + 5*i. Let v be h(g). Factor 2/7*u**2 + 2/7*u**3 + v + 0*u.
2*u**2*(u + 1)/7
Let h = -3 + 5. Let k(t) = -t**3 + 3*t + 2. Let a be k(-2). Factor 2*i**3 - 2*i**a - 2*i - i + 2*i**h + i.
-2*i*(i - 1)**2*(i + 1)
Let l(g) be the second derivative of -1/150*g**5 + 0*g**4 - g - g**2 + 1/15*g**3 + 0. Let v(h) be the first derivative of l(h). Factor v(k).
-2*(k - 1)*(k + 1)/5
Let z be (-3)/2*(-1055)/(-30). Let j = z + 53. Factor 1/4*b**2 + 0*b + 0 - j*b**3.
-b**2*(b - 1)/4
Let h(g) be the third derivative of g**8/1512 - g**7/315 + 2*g**5/135 + 10*g**2. Factor h(w).
2*w**2*(w - 2)**2*(w + 1)/9
Let x(c) be the first derivative of -2*c**3 - 5*c**2 - 4*c - 5. Factor x(o).
-2*(o + 1)*(3*o + 2)
Let g(l) be the first derivative of l**5/360 - l**4/72 + 3*l**2 - 6. Let q(o) be the second derivative of g(o). Factor q(i).
i*(i - 2)/6
Solve 0 + 2/13*p**3 - 4/13*p**2 + 2/13*p = 0.
0, 1
Suppose 5*q + 11 + 14 = 0. Let g = 8 + q. Factor i**4 - 2/5*i**g + 0*i**2 + 0 + 0*i.
i**3*(5*i - 2)/5
Suppose -3*i - 493 = -106. Let j be 3/(-12) - i/4. Find k, given that 4*k**4 - 2*k**3 + j*k - 24*k**2 - 16 + 10*k**3 - 5*k**4 = 0.
2
Let g(f) = -6*f**5 + 4*f**3 - 2*f - 4. Let v(x) = -x**5 + x**4 + x**3 - x**2 - x - 1. Let p be (5/15)/((-1)/3). Let l(o) = p*g(o) + 4*v(o). Factor l(z).
2*z*(z - 1)*(z + 1)**3
Let x(o) = 7*o**4 + 15*o**3 - 3*o**2 - 15*o - 4. Let p(s) = -6*s**4 - 15*s**3 + 3*s**2 + 15*s + 3. Let q(h) = 2*p(h) + 3*x(h). Determine j so that q(j) = 0.
-1, -2/3, 1
Let y(b) be the first derivative of 2/3*b**2 - 2 + 1/3*b**4 + 2/3*b**3 + 1/15*b**5 + 1/3*b. Determine r, given that y(r) = 0.
-1
Let p = 2139/140 + -61/4. Let a(s) be the third derivative of 7/30*s**6 + p*s**7 + 23/30*s**5 + 4/3*s**4 + 4/3*s**3 + 0*s + 2*s**2 + 0. Factor a(q).
2*(q + 1)**2*(q + 2)*(3*q + 2)
Let q = 13/93 - -6/31. Let b be (2/(-8))/(6/(-8)). Factor -b - q*p**2 + 2/3*p.
-(p - 1)**2/3
Let k(r) be the second derivative of -r**5/510 - r**4/102 - r**3/51 - 5*r**2/2 - r. Let z(c) be the first derivative of k(c). Factor z(a).
-2*(a + 1)**2/17
Let h(b) = -b**2 + 5*b. Let r be h(5). Suppose -20 = 2*y - 6*o + 2*o, r = 4*y - o + 5. Factor 2/5*x**2 - 2/5 + y*x.
2*(x - 1)*(x + 1)/5
Let n(c) = -c**3 + 15*c**2 - 16*c + 28. Let t be n(14). Find o, given that 3/2*o**3 + t*o**2 - 9/2*o - 3 = 0.
-1, 2
Let y be (-23)/(-5) - 3/5. Let m be y/(-14) + 1048/140. Find v such that m*v - 54/5*v**2 - 8/5 + 27/5*v**3 = 0.
2/3
Let x be 2 + 0 + -2 - -2. Factor -z**x - 2*z + 4 - 3*z**2 + 2*z**2.
-2*(z - 1)*(z + 2)
Factor -2*c**3 + 4*c**3 - 3*c**4 + 2*c**5 + c**4 + 6*c**4.
2*c**3*(c + 1)**2
Let 0*h**2 + 2/15*h**4 + 0*h + 0 - 4/15*h**3 = 0. What is h?
0, 2
Suppose 2*f + 1 = 15. Let j = f + 1. Determine v so that 3*v**4 + 13*v + v**2 + j*v**3 - v + 5*v**5 - 25*v**3 - 4 = 0.
-2, -1, 2/5, 1
Let t be (-123 - -120)/(((-9)/2)/3). Factor 0 + 5/2*l**t - 1/2*l.
l*(5*l - 1)/2
Let h(x) be the first derivative of -3*x**4/4 - 6*x**3 - 27*x**2/2 - 12*x + 19. Find y such that h(y) = 0.
-4, -1
Determine s so that -29*s**2 - 2*s + 9*s**2 + 7 - 2 - 1 = 0.
-1/2, 2/5
Let i(w) be the first derivative of 2*w**5/5 + 3*w**4/2 + 2*w**3 + w**2 + 6. Solve i(r) = 0.
-1, 0
Let r(u) be the first derivative of u**6/360 - u**5/60 + u**4/24 - 2*u**3/3 + 2. Let m(k) be the third derivative of r(k). Factor m(v).
(v - 1)**2
Factor -4*r - 3*r**4 + 6*r**3 + 3*r**4 + 2*r - 4*r**4.
-2*r*(r - 1)**2*(2*r + 1)
Let w = -96 + 289/3. Let -2