= 2*x - 2. Let m be 2/x - (-576)/42. Determine u, given that 2*u**2 - 10*u - 2 + 8*u**4 - 8*u**2 - 4*u**3 + m*u**3 = 0.
-1, -1/4, 1
Suppose -5*h = -3 - 87. Let p be (h/27)/(1/3). Determine s, given that -1/5*s**3 - 1/5 + 1/5*s + 1/5*s**p = 0.
-1, 1
Let s be (2 - (0 + -1))*7. Let d = s + -13. What is k in d + k**2 - 8 = 0?
0
Let q(t) be the first derivative of 2*t + 2/3*t**3 - 6 - 2*t**2. Factor q(f).
2*(f - 1)**2
Let l = 18 - 14. Let g(c) be the second derivative of 0 + 1/6*c**l - 1/15*c**6 + 0*c**2 - c + 0*c**3 + 0*c**5. Factor g(s).
-2*s**2*(s - 1)*(s + 1)
Factor 14/9*p**4 + 20/9*p**3 + 2/9*p**5 - 4*p**2 - 6*p + 6.
2*(p - 1)**2*(p + 3)**3/9
Let g(m) be the second derivative of 0*m**4 + 0 + 0*m**2 + 0*m**3 - m - 1/110*m**5 + 1/165*m**6. Let g(i) = 0. What is i?
0, 1
Determine i so that 15*i**2 - 12 - 6*i**4 + 3/2*i**3 + 3/2*i**5 - 6*i = 0.
-1, 2
Let o(j) = j + 3. Let m be o(-3). Factor 3*a - 3 + m*a**2 - a**2 + 4 - 3.
-(a - 2)*(a - 1)
Suppose -67*f = -63*f - 8. Suppose 2 + 49/2*h**f - 14*h = 0. Calculate h.
2/7
Suppose -2*s = -4*d + 2, 2*s - d = -4 + 14. Suppose 0 = -s*u - 3*u + 40. Factor -4/7*t**2 + 2/7*t + 0*t**3 + 0 - 2/7*t**5 + 4/7*t**u.
-2*t*(t - 1)**3*(t + 1)/7
Let f(h) be the first derivative of h**8/840 - h**6/180 + h**3/3 + 2. Let y(o) be the third derivative of f(o). Suppose y(g) = 0. Calculate g.
-1, 0, 1
Let r(p) be the second derivative of p**8/560 + p**7/140 + p**6/120 + 5*p**3/6 + 2*p. Let c(x) be the second derivative of r(x). Find w, given that c(w) = 0.
-1, 0
Let 3/5 + 3/5*d**3 + 9/5*d + 9/5*d**2 = 0. Calculate d.
-1
Let s(k) be the second derivative of -k**5/5 - 2*k**4/3 + 8*k**3/3 + 16*k**2 - 12*k. Factor s(x).
-4*(x - 2)*(x + 2)**2
Let k(h) = -h**2 + 5*h + 4. Let g be k(5). Suppose s = -g*s + 4*t + 35, 5*t + 37 = 4*s. Factor 4 - z - 2*z**s + 7*z + 0*z.
-2*(z - 2)*(z + 1)**2
Let b(c) be the second derivative of 1/6*c**2 + 1/24*c**4 + 0 - 1/120*c**5 - 1/180*c**6 + 5/36*c**3 - 2*c. Solve b(w) = 0 for w.
-1, 2
Let x(g) be the first derivative of -3/2*g**2 + g**3 - 6*g + 1. Factor x(b).
3*(b - 2)*(b + 1)
Suppose 9*j - 7 - 11 = 0. Suppose -8/13*f**j + 14/13*f - 6/13 = 0. Calculate f.
3/4, 1
Let s(l) = l**4 + 2*l - 3. Let a(r) = 4*r**4 + r**3 + 8*r - 13. Let i(n) = -2*a(n) + 9*s(n). Factor i(m).
(m - 1)**3*(m + 1)
Factor 27 + 13 - 6*s**2 + 5 + 11*s**2 - 30*s.
5*(s - 3)**2
Suppose -3*t + 5*q - 6 = 0, -2*t + 7*q - 2*q = 9. Let 0*b**2 - 8/7*b**t + 0 + 0*b + 10*b**5 - 8/7*b**4 = 0. What is b?
-2/7, 0, 2/5
Let t(a) be the second derivative of a**5/30 + 2*a**4/9 + 5*a**3/9 + 2*a**2/3 + 6*a. Factor t(l).
2*(l + 1)**2*(l + 2)/3
Let l(o) be the second derivative of -o**7/8820 - o**6/1260 - o**5/420 + o**4/4 - 2*o. Let x(y) be the third derivative of l(y). Solve x(b) = 0.
-1
Let g(a) be the third derivative of -a**8/2184 - a**7/1365 + a**6/156 + a**5/390 - 2*a**4/39 + 4*a**3/39 + 6*a**2. Suppose g(b) = 0. What is b?
-2, 1
Let p(q) = -3*q**4 + 11*q**3 - 9*q**2 + 3*q + 2. Let v(x) = 30*x**4 - 111*x**3 + 90*x**2 - 30*x - 21. Let m(k) = 21*p(k) + 2*v(k). Factor m(j).
-3*j*(j - 1)**3
Suppose -2 = -9*u + 11*u. Let a = 1 + u. Factor 0 - 1/5*w**3 + a*w - 1/5*w**5 + 0*w**2 - 2/5*w**4.
-w**3*(w + 1)**2/5
Factor 8/5*f - 1/5 - 16/5*f**2.
-(4*f - 1)**2/5
Let w(x) = 3*x**5 - 10*x**4 + 15*x**3 - 10*x + 7. Let n(t) = -3*t**5 + 10*t**4 - 16*t**3 + 11*t - 8. Let v(h) = -5*n(h) - 6*w(h). Find s, given that v(s) = 0.
-2/3, 1
Let l(q) = -24*q**3 + 51*q**2 - 45*q + 18. Let n(s) = -s**3 + s**2 - s + 1. Let k(u) = l(u) - 12*n(u). Factor k(c).
-3*(c - 2)*(c - 1)*(4*c - 1)
Let c(t) be the second derivative of -t**5/20 + t**4/6 + t**3/3 - t**2/2 + 2*t. Let i be c(2). Factor -8*u**i - u**4 + 3*u**4 + 0*u + 12*u**2 - 5*u - 3*u + 2.
2*(u - 1)**4
Let 2*w**5 - 3*w**2 + w**5 + 10*w**3 - 7*w**4 - w**3 - 2*w**4 = 0. Calculate w.
0, 1
Determine w so that 18 + 3*w**2 + 0*w - 25*w + 0*w**2 + 4*w = 0.
1, 6
Let i(t) = 10*t**2 - 17*t + 11. Let u(a) = -5*a**2 + 9*a - 6. Let c(y) = 6*i(y) + 11*u(y). Find o such that c(o) = 0.
0, 3/5
Let z(i) = i**3 - 7*i**2 + 4*i - 2. Let f(w) = -6*w**2 + 4*w + 3*w - 2 - 4*w + w**3 + 0*w**2. Let q(r) = 7*f(r) - 6*z(r). Factor q(v).
(v - 2)*(v + 1)**2
Factor -8*i**2 - 6*i**3 - i**3 + 5*i**4 + 3*i**3 - i**4.
4*i**2*(i - 2)*(i + 1)
Suppose -5*q + 3 + 17 = 0. Solve 3*d**4 + 2*d - 3*d + d**3 - 4*d**q + 0*d**4 + d**2 = 0 for d.
-1, 0, 1
Let y(w) be the first derivative of -w**6/3 + w**4 - w**2 - 1. Factor y(k).
-2*k*(k - 1)**2*(k + 1)**2
Let g(o) be the first derivative of 3/2*o**2 + 1/3*o**3 + 2*o + 4. Solve g(u) = 0.
-2, -1
Let x(r) be the second derivative of 0*r**2 - 1/20*r**5 - 1/10*r**6 + 1/4*r**4 + 0 + 1/3*r**3 + 2*r - 1/42*r**7. Factor x(u).
-u*(u - 1)*(u + 1)**2*(u + 2)
Suppose 0 = v + 3, 0*v - 4*v - 21 = -3*x. Suppose 5 = x*j - 4. What is d in -3/5*d**5 + 0*d**j + 0*d + 0*d**4 + 0 + 0*d**2 = 0?
0
Let u(t) = 3*t**2 - t. Let o(g) = -13*g**2 + 4*g - 1. Let b(i) = 2*o(i) + 9*u(i). Let x(r) = 2*r**2 - 2*r - 3 - 3 + 3. Let s(m) = -3*b(m) + 2*x(m). Factor s(z).
z*(z - 1)
Let x be (12/8)/((-4)/(-8)). Let a(n) be the third derivative of -n**2 - 1/120*n**6 + 0 - 1/24*n**4 - 1/30*n**5 + 0*n**x + 0*n. Suppose a(g) = 0. What is g?
-1, 0
Let a(u) be the second derivative of -u**5/20 + u**4/12 + u**3/6 - u**2/2 + 7*u. Factor a(k).
-(k - 1)**2*(k + 1)
Factor 86*n**4 - 89*n**4 + 0*n + 0*n + 39*n**3.
-3*n**3*(n - 13)
Determine g, given that 2/9*g**4 - 1/9*g**5 + 1/9*g - 2/9*g**2 + 0*g**3 + 0 = 0.
-1, 0, 1
Let v(q) = q**2 - 13*q - 14. Let p be v(14). Suppose p = -2*b + 7*b - 10. Factor 1/5*k + 0 - 1/5*k**b.
-k*(k - 1)/5
Let f(l) = -l**3 - 16*l**2 + 16. Let x be f(-16). Suppose 0*n - 4*n + 37 = 5*r, -2*n - 2*r + x = 0. Factor 2/3 - 2/3*c**2 - 2/3*c**n + 2/3*c.
-2*(c - 1)*(c + 1)**2/3
Suppose 5 = -d + 8. Factor 0 + 0*h + 0*h**d - 2/7*h**4 + 2/7*h**2.
-2*h**2*(h - 1)*(h + 1)/7
Let d(m) = -m**2 + 1. Let n(c) = 8*c**2 - 8. Let l = -16 - -17. Let t(r) = l*n(r) + 4*d(r). Factor t(h).
4*(h - 1)*(h + 1)
Let x(b) be the first derivative of b**7/147 + b**6/35 + 3*b**5/70 + b**4/42 + 2*b + 3. Let o(n) be the first derivative of x(n). Find a such that o(a) = 0.
-1, 0
Let i(g) be the first derivative of -g**8/1680 + g**7/210 - g**6/90 - g**3/3 - 1. Let t(o) be the third derivative of i(o). Find z, given that t(z) = 0.
0, 2
Factor 0*b + 1/4*b**2 + 0.
b**2/4
Let w(a) = 4*a**3 + 3*a**2 - a. Let f(l) = -10*l**3 - 8*l**2 + 2*l. Let r(h) = 5*f(h) + 12*w(h). Factor r(g).
-2*g*(g + 1)**2
Let y be (1/(-3))/((-4)/48). Suppose -4*f = -3*q - 34, -2*f + 4*q + 8 = -y. Suppose -p + 4 - f + 3*p**2 - 2*p = 0. What is p?
-1, 2
Suppose 0 = 5*c - 8 - 2. Factor -4*g**3 + 3*g + 2*g**5 + g**5 - c*g**3.
3*g*(g - 1)**2*(g + 1)**2
Suppose 4*x = -3*c + 8, -4*x = -3*c + 7*c - 8. Solve 1/2*g**x + 1/2*g + 0 = 0 for g.
-1, 0
Let r(o) be the third derivative of -2*o**2 + 1/14*o**7 + 0 + 0*o + 1/4*o**4 + 3/10*o**6 + 9/20*o**5 + 0*o**3. Factor r(w).
3*w*(w + 1)**2*(5*w + 2)
Let y(x) = -5*x**2 - 10*x - 10. Let f(z) = 6*z**2 + 9*z + 9. Let l(d) = 2*f(d) + 3*y(d). Let l(g) = 0. What is g?
-2
Suppose -2*y - 24 = -5*y. Let x be y/6 + (-4)/(-6). Determine z so that z**3 + 1 - 1 - 2*z**x + z = 0.
0, 1
Let a = -20/11 + 111/55. Factor 1/5*o**3 + a*o**2 + 0*o + 0.
o**2*(o + 1)/5
Let g(u) be the first derivative of -u**5/5 - u**4/4 + 3*u**3 - 11*u**2/2 + 4*u - 4. Factor g(h).
-(h - 1)**3*(h + 4)
Let c = -8 - -8. Let f(w) be the first derivative of -1/2*w**2 - 1/3*w**3 + 2 + c*w. Factor f(l).
-l*(l + 1)
Let a(l) = 4*l - 8. Let y be a(-3). Let t be -1 - (1 - (-256)/y). What is r in -18/5*r**2 + 2/5*r**3 + 54/5*r - t = 0?
3
Let c(f) = 26*f - 182. Let q be c(7). Find n, given that q*n**2 - 2/5*n**5 + 0*n + 2/5*n**4 + 0*n**3 + 0 = 0.
0, 1
Determine o so that -o**2 + 12*o**3 - 5*o**5 - 2*o**2 + 3*o**4 - 7*o**5 + 0*o**2 = 0.
-1, 0, 1/4, 1
Let k(m) be the second derivative of m**8/3360 - m**7/315 + m**6/90 + 5*m**4/12 - 2*m. Let p(c) be the third derivative of k(c). Factor p(i).
2*i*(i - 2)**2
Let n(z) = -z**2 - 12*z + 4. Let m be n(-12). Let s(d) be the second derivative of 1/24*d**m - 2*d + 0 + 1/4*d**2 - 1/6*d**3. Factor s(j).
(j - 1)**2/2
Let r(x) be the first derivative of x**3/3 + x**2/2 - 2. Factor r(b).
b*(b + 1)
Let z(n) = 6*n**4 - 9*n**2 - 3. Let t(l) = l**4 + l**3 - l**2 - 1. Let x(o) = 3*t(o) - z(o). Factor x(