z**3 + 3/4*z**d + 0 - 1/2*z = 0 for z.
0, 1, 2
Let n(z) be the second derivative of z**7/30 - 19*z**6/120 + z**5/4 - z**4/24 - z**3/3 + 3*z**2/2 - z. Let w(q) be the first derivative of n(q). Factor w(s).
(s - 1)**3*(7*s + 2)
Let l(h) = -40*h - 112. Let m be l(-3). Factor 0 + 2/3*z**4 + 16/3*z + 4*z**3 + m*z**2.
2*z*(z + 2)**3/3
Factor 1/2*b**3 - 3/2*b**2 + 3/2*b - 1/2.
(b - 1)**3/2
Solve 10*q + 7 - 6*q**2 + 3*q**4 - 21*q**3 - 49*q + 51*q**2 + 5 = 0.
1, 4
Let l(s) = s**5 - s**4 - 12*s**3 + 20*s**2 - 8*s. Let p(y) = 2*y**5 - 2*y**4 - 12*y**3 + 20*y**2 - 8*y. Let o(u) = 2*l(u) - 3*p(u). Factor o(d).
-4*d*(d - 1)**3*(d + 2)
Let x(v) = v**2 + 7*v + 8. Let d be x(-6). Suppose 4*s + 16 = 3*a + d, -2*a = -2*s - 8. Determine f, given that f - 2*f**a + 0*f**2 - 5*f = 0.
-2, 0
Let s be -4 - 1188/(-188) - 1. Let n = s + 2/141. Factor -2*h**4 - 2/3*h**5 - 4/3*h**3 + 2/3 + 2*h + n*h**2.
-2*(h - 1)*(h + 1)**4/3
Let a(j) be the first derivative of 0*j - 1/2*j**2 - 1/12*j**4 + 1/20*j**5 - 2 - 1/6*j**3. Let g(y) be the second derivative of a(y). Factor g(t).
(t - 1)*(3*t + 1)
Suppose 4*d + 2*v - 4 - 10 = 0, d + 1 = 4*v. Let l(j) be the first derivative of -2 + 0*j + 1/7*j**2 - 4/21*j**d + 1/14*j**4. Factor l(b).
2*b*(b - 1)**2/7
Let d be 3/(-4)*(-40)/15. Suppose -q - 2 = -d*q. Factor -24/5*l**4 + 0*l + 0 + 4/5*l**q - 14/5*l**5 - 6/5*l**3.
-2*l**2*(l + 1)**2*(7*l - 2)/5
Let k(t) = -1. Let u(s) = -6*s**2 - 8*s + 4. Let l(w) = -4*k(w) - u(w). Let d(p) = 4*p**2 + 5*p. Let q(m) = 8*d(m) - 5*l(m). Find h, given that q(h) = 0.
0
Let i(l) be the second derivative of l**7/105 - 2*l**5/25 + l**4/15 + l**3/5 - 2*l**2/5 - 6*l. Factor i(g).
2*(g - 1)**3*(g + 1)*(g + 2)/5
Let h(i) be the second derivative of 1/24*i**4 + 3/4*i**2 + 0 - 1/3*i**3 + 4*i. Factor h(y).
(y - 3)*(y - 1)/2
Let h(y) be the second derivative of -y**5/15 + y**4/9 + 9*y. Let h(s) = 0. Calculate s.
0, 1
Let n(r) = -r**3 + 13*r**2 - 13*r + 17. Let v be n(12). Suppose 3*k = 11 - v. Solve 2*o**3 - 1/3 - 8/3*o**k + 3*o**4 - 2*o = 0 for o.
-1, -1/3, 1
Let u(b) be the second derivative of b**6/180 - b**4/36 + 3*b**2/2 - b. Let k(i) be the first derivative of u(i). Factor k(x).
2*x*(x - 1)*(x + 1)/3
Suppose 0 = -4*c - 3 + 23. Factor 3*s**2 + 0*s + s + c*s - 4 + 7.
3*(s + 1)**2
Find k, given that 3 + k**2 + 5*k - 3 - 4*k = 0.
-1, 0
Let w(j) be the first derivative of j**3 + 15*j**2/2 + 12*j - 6. Suppose w(u) = 0. Calculate u.
-4, -1
Let r(z) = -2*z**2 + 2*z - 1. Let o be r(1). Let f(i) = -4*i**3 - 1. Let n be f(o). Find k, given that -k**2 - 6*k**2 - 7*k**3 - 2*k + 2*k**n = 0.
-1, -2/5, 0
Let k(u) = u + 12. Let d be k(-8). Let y(q) be the third derivative of 1/27*q**3 + 0*q + 2*q**2 + 8/135*q**5 + 2/27*q**d + 0. Factor y(x).
2*(4*x + 1)**2/9
Let s(n) be the second derivative of -n**8/10080 + n**6/1080 - n**4/3 + 3*n. Let j(f) be the third derivative of s(f). Factor j(r).
-2*r*(r - 1)*(r + 1)/3
Let g(l) be the first derivative of 5*l**6/6 - 3*l**5 + 5*l**4/2 + 10*l**3/3 - 15*l**2/2 + 5*l + 6. Factor g(x).
5*(x - 1)**4*(x + 1)
Suppose 12*n = -6*n + 72. Let c(z) be the first derivative of 0*z**3 + 0*z**2 + 8/35*z**5 + 1 + 1/14*z**n + 0*z. Find y such that c(y) = 0.
-1/4, 0
Let f(g) be the third derivative of -g**8/672 + g**6/60 - g**5/60 - g**4/16 + g**3/6 + 9*g**2. Factor f(w).
-(w - 1)**3*(w + 1)*(w + 2)/2
Let x = 394 + -1573/4. Factor 3*f + x*f**2 + 3.
3*(f + 2)**2/4
Let c be 51/15 + -2 + -1. Let m be (-4)/(60/9) - -1. Let -2/5*b**3 + 2/5*b + c*b**2 - m = 0. What is b?
-1, 1
Let o(c) = -3*c**5 - 9*c**4 - 3. Let k(d) = 5*d**3 - 5*d**5 - 6*d**3 - 17*d**4 - d**5 - 5. Let s(j) = -3*k(j) + 5*o(j). Solve s(n) = 0.
-1, 0
Let l(g) be the second derivative of -2*g + 0*g**2 + 0 + 0*g**3 + 1/6*g**4 + 1/15*g**6 + 1/5*g**5. Find r, given that l(r) = 0.
-1, 0
Let p(t) = -3*t**2 + 3*t. Let r(b) = 3*b**2 - 3*b. Let u(f) = 4*p(f) + 3*r(f). What is i in u(i) = 0?
0, 1
Let b(d) = -d + 2*d + 1 + 2*d + 2*d**2 - 3*d**2. Let v(i) = i**2 - 4*i - 1. Let j(k) = -4*b(k) - 3*v(k). Solve j(g) = 0.
-1, 1
Suppose 0*l + 4*u - 10 = -2*l, -9 = -2*l - 3*u. Factor -2 + 5 - 2*o**2 + 6*o**4 - 4*o**l - 3.
2*o**2*(o - 1)*(3*o + 1)
Let s = -2/59 + 109/1475. Let g = 11/25 - s. Determine t so that -6/5*t + g*t**2 + 4/5 = 0.
1, 2
Let d(b) = -b**3 - 11*b**2 + b + 15. Let c be d(-11). Suppose c*z - t - 11 = -0*t, -2*z - t + 7 = 0. Factor 21*j + 14*j**z + 19*j + 10 + 3 + 3 - 52*j**2.
2*(j - 2)**2*(7*j + 2)
Let z(c) = 2*c**2 - 8*c + 2. Let t(i) = -i**2 + i + 1. Let r(f) = 6*t(f) + z(f). Let d(w) = -7*w**2 - 3*w + 15. Let s(m) = -6*d(m) + 11*r(m). Factor s(a).
-2*(a + 1)**2
Let g be 3/4*(-8)/1503. Let n = g - -446/167. Factor -10/3*d**3 - n*d + 0 + 16/3*d**2 + 2/3*d**4.
2*d*(d - 2)**2*(d - 1)/3
Find d, given that -5*d**3 - 2*d**3 + 15*d**3 - 3*d**3 + 10*d**2 = 0.
-2, 0
Let c(l) be the second derivative of -3*l**5/20 - 42*l. Determine t so that c(t) = 0.
0
Let u(h) = 6*h**5 + 9*h**4 + 9*h**3 + 3*h + 3. Let g(d) = 7*d**5 + 9*d**4 + 9*d**3 - d**2 + 4*d + 4. Let m(b) = 3*g(b) - 4*u(b). Factor m(z).
-3*z**2*(z + 1)**3
Let u = 9 - 6. Solve -j**3 + 2*j**3 - 6*j**2 + 2*j**u = 0.
0, 2
Let w(k) be the first derivative of 12*k**5/25 - 21*k**4/20 + 2*k**3/5 + 3*k**2/10 - 43. Determine t so that w(t) = 0.
-1/4, 0, 1
Let k = -709 - -4965/7. Find h, given that 2/7*h**2 + 0 + k*h = 0.
-1, 0
Let y(u) be the first derivative of 1/2*u - 2 + 7/16*u**4 + 4/3*u**3 + 11/8*u**2. Suppose y(s) = 0. What is s?
-1, -2/7
Suppose 96/13*q + 2/13*q**3 + 2*q**2 + 72/13 = 0. What is q?
-6, -1
Find x such that 16/3 + 10/3*x**3 + 2*x**4 - 40/3*x - 28/3*x**2 = 0.
-2, 1/3, 2
Let f be ((-2)/((-8)/(-3)))/((-18)/48). Solve 0 + 1/4*i**f + 0*i + 1/4*i**3 = 0 for i.
-1, 0
Find l, given that 3/8*l**5 + 15/8 - 15/4*l**2 + 15/8*l**4 + 3/8*l - 3/4*l**3 = 0.
-5, -1, 1
Let p(z) be the first derivative of -5*z**3/9 - 5*z**2/2 - 7. What is m in p(m) = 0?
-3, 0
Suppose 0 = -3*g - 2*g + 10. Let -3*j - 2*j + 5*j - g*j**3 = 0. What is j?
0
Let l = -54 + 57. Let j(z) be the third derivative of 0*z**4 + 0*z + 3*z**2 + 1/120*z**6 + 0 - 2/3*z**l + 1/20*z**5. Find h, given that j(h) = 0.
-2, 1
Let q(u) be the first derivative of 4*u**3/3 + 14*u**2 + 24*u - 46. Suppose q(r) = 0. Calculate r.
-6, -1
Let d = -25 - -27. Factor -2 + 2*t + 4 - 4*t**2 + 2*t**3 - d.
2*t*(t - 1)**2
Factor 2/9 - 2/3*p**2 - 4/9*p + 8/9*p**3 + 8/9*p**4.
2*(p + 1)**2*(2*p - 1)**2/9
Factor -33/4*n - 9/2 - 3*n**2.
-3*(n + 2)*(4*n + 3)/4
Let w(s) be the first derivative of 2*s**3 - 4*s**2 + 1 - 8*s + 2/5*s**5 + 2*s**4. Solve w(d) = 0 for d.
-2, -1, 1
Let r(s) = s - 9. Let i be r(9). Let m be 12/80 - (-1)/4. Factor 2/5*k**3 - m*k + i + 0*k**2.
2*k*(k - 1)*(k + 1)/5
Let u(d) be the first derivative of -8/15*d**3 + 0*d + 3/5*d**4 - 8/25*d**5 + 1/15*d**6 + 1/5*d**2 - 1. Determine g, given that u(g) = 0.
0, 1
Let p(v) be the third derivative of 1/6*v**3 + 0*v**4 - 1/20*v**5 - 4*v**2 + 0*v + 0 + 1/60*v**6. Find o such that p(o) = 0.
-1/2, 1
Factor 2/3*g**2 + 96 + 16*g.
2*(g + 12)**2/3
Let k = -1095 + 14237/13. Factor -8/13*r**2 + 0 + 8/13*r + k*r**3.
2*r*(r - 2)**2/13
Factor -4*t**2 - 3*t + 3*t**4 + 3*t**5 + 3*t**4 - 2*t**2.
3*t*(t - 1)*(t + 1)**3
Let b(t) be the second derivative of -t**6/300 + t**5/150 + t**4/60 - t**3/15 + 3*t**2/2 - t. Let y(r) be the first derivative of b(r). Factor y(l).
-2*(l - 1)**2*(l + 1)/5
Let k(s) be the third derivative of s**5/140 - 3*s**4/56 - 19*s**2. Factor k(m).
3*m*(m - 3)/7
Suppose 4*p - 3 + 1 = -2*s, 3*p - 9 = s. Solve -6/7*i**p - 2/7*i**3 + 0*i + 8/7 = 0 for i.
-2, 1
Let z(d) be the third derivative of 0*d**3 - 1/70*d**5 + 0*d + 0 - 5*d**2 - 1/42*d**4. Factor z(c).
-2*c*(3*c + 2)/7
Suppose 0 = 2*t - 6 - 4. Factor 10*n**4 + t*n - 3 + 24*n**3 + 3 - n + 18*n**2.
2*n*(n + 1)**2*(5*n + 2)
Let a(x) = x**2 - 2*x - 1. Let r be a(3). Let b(v) be the first derivative of -2 + 0*v - 1/14*v**4 + 0*v**r + 2/21*v**3. Find l, given that b(l) = 0.
0, 1
Let s(g) be the first derivative of 0*g**3 + 3/20*g**4 - 3/10*g**2 + 0*g + 3. Let s(a) = 0. Calculate a.
-1, 0, 1
Let t be ((-18)/(-15))/(8/(-20)). Let q be t/(-2)*12/45. Let 2/5 + 4/5*d + q*d**2 = 0. Calculate d.
-1
Let l(b) be the second derivative of -1/108*b**4 + 1/2*b**3 - b + 0 - 1/405*b**6 - 1/108*b**5 + 0*b**2. Let k(n) be the second derivative of l(n). Factor k(p).
-2*(p + 1