 2/3*q.
(q - 1)**2/3
Let w(k) = 21*k**2 - 27. Let l be (5 - 2) + -2 - -1. Let v(z) = 4*z - 4*z - 1 - 3 + 3*z**l. Let j(u) = -27*v(u) + 4*w(u). Factor j(y).
3*y**2
Let s(w) be the second derivative of w**3/3 - 5*w**2/2 + w. Let r be s(4). Factor 4/3*y**4 + 0 + 1/3*y**2 + 0*y - 5/3*y**r.
y**2*(y - 1)*(4*y - 1)/3
Let a(u) be the first derivative of 4/3*u**3 + 0*u - 2/5*u**5 - 1/2*u**4 + 2 + 0*u**2. Determine y so that a(y) = 0.
-2, 0, 1
Factor 0*w**2 + 2/9*w**3 + 4/9*w**4 + 0*w + 0 + 2/9*w**5.
2*w**3*(w + 1)**2/9
Suppose 24 = 5*i - 4*c, 5*c = -0*i + 2*i - 13. Factor 1 - 3*p**2 - 7*p**i + p**2 + 8*p**4.
(p - 1)**2*(p + 1)**2
Let c = 52 - 43. Let m(p) = p + 10. Let i be m(-8). Let 3*w**3 + 3/2 + 27/4*w + c*w**i = 0. What is w?
-2, -1/2
Let w(k) be the second derivative of -k**4/54 + k**2/9 + 13*k. Factor w(z).
-2*(z - 1)*(z + 1)/9
Let u(s) be the second derivative of -s**6/15 - s**5/5 + 2*s**3/3 + s**2 + 31*s. Factor u(i).
-2*(i - 1)*(i + 1)**3
Let n(f) be the second derivative of -f**6/40 + 9*f**5/80 - 3*f**4/16 + f**3/8 + f**2 + f. Let g(d) be the first derivative of n(d). Factor g(t).
-3*(t - 1)**2*(4*t - 1)/4
Suppose 2*g = -0*g + 8. Suppose 5*w - 30 = -2*n - 3*n, -g*n = 5*w - 25. Factor -2*i - i**2 - 4 + i + 7*i - n.
-(i - 3)**2
Let w(g) be the third derivative of -g**7/105 + g**6/30 + g**5/10 - 18*g**2. Find a, given that w(a) = 0.
-1, 0, 3
Let y(p) be the first derivative of -3*p**5/5 - 15*p**4/4 - 7*p**3 - 9*p**2/2 + 3. Let y(q) = 0. What is q?
-3, -1, 0
Let x(k) be the first derivative of 3*k**4/16 + k**3/4 - 3*k**2/8 - 3*k/4 + 3. Determine f, given that x(f) = 0.
-1, 1
Let g(t) = -4*t**3 - 3*t**2 + 15*t - 11. Let z(j) = -4*j**3 - 4*j**2 + 16*j - 12. Let a(x) = -4*g(x) + 3*z(x). Let a(m) = 0. Calculate m.
-2, 1
Determine n, given that 4/5 + 4*n - 2/5*n**3 - 7/5*n**4 + 21/5*n**2 = 0.
-1, -2/7, 2
Let l(a) be the third derivative of 0*a - 3/35*a**5 - 8/21*a**3 - 1/735*a**7 - 1/60*a**6 - 3*a**2 + 0 - 5/21*a**4. Factor l(d).
-2*(d + 1)*(d + 2)**3/7
Factor 0*j**2 + 2/7*j - 1/7 + 1/7*j**4 - 2/7*j**3.
(j - 1)**3*(j + 1)/7
Let w(f) be the third derivative of f**6/60 + f**5/30 - f**4/12 - f**3/3 + 5*f**2. Factor w(y).
2*(y - 1)*(y + 1)**2
Let j(u) be the first derivative of 0*u**4 + 0*u**6 + 0*u**3 + 0*u**2 + 1/20*u**5 - 3*u - 1/42*u**7 + 3. Let q(k) be the first derivative of j(k). Factor q(m).
-m**3*(m - 1)*(m + 1)
Let m = -34 - -13. Let x be 15/45 + (-17)/m. Let 0*f - 6/7*f**2 + x + 2/7*f**3 = 0. Calculate f.
-1, 2
Let z(k) be the first derivative of -k**4/8 + k**3/6 + k**2/2 + 1. Factor z(u).
-u*(u - 2)*(u + 1)/2
Suppose -3*m = 12, 6*k - 4*k = 2*m + 8. Let q be -1 + 0 + k + 1. Factor 3*v + 3*v**2 + q*v**2 - 2*v**2 + 2.
(v + 1)*(v + 2)
Let w(b) be the second derivative of -1/6*b**3 + 1/15*b**6 + 5*b + 1/20*b**5 + 0 + 1/2*b**2 - 1/4*b**4. Factor w(v).
(v - 1)*(v + 1)**2*(2*v - 1)
Let v(b) be the first derivative of 2*b**6/15 - 4*b**5/5 + 5*b**4/3 - 4*b**3/3 + b - 4. Let m(z) be the first derivative of v(z). Solve m(q) = 0.
0, 1, 2
Let p(g) = -6*g**4 + 54*g**3 - 90*g**2 + 39*g + 24. Let w(s) = s**4 + s**3 + s. Let m(a) = -p(a) + 3*w(a). Factor m(b).
3*(b - 2)**3*(3*b + 1)
Let u(w) be the second derivative of w**4/2 + 5*w**3/2 + 3*w**2 + 5*w. Solve u(p) = 0 for p.
-2, -1/2
Let d = 17/10 - 6/5. Suppose -d*s**4 + 3/2*s**3 + 0*s - s**2 + 0 = 0. Calculate s.
0, 1, 2
Suppose 4*p - 29 = 5*r + 2*p, 0 = -2*r + 2*p - 14. Let l be r/(-20) + 6/40. Solve 2/5*o**2 - l*o + 2/5*o**3 - 2/5 = 0.
-1, 1
Let l(f) be the third derivative of -f**7/1365 + f**6/130 - 3*f**5/130 - 8*f**2. Factor l(b).
-2*b**2*(b - 3)**2/13
Let y(s) be the third derivative of 1/105*s**7 - 1/9*s**3 - 1/9*s**4 + 0*s + 0 - 2*s**2 - 1/45*s**5 + 1/45*s**6. Let y(f) = 0. What is f?
-1, -1/3, 1
Find b, given that 56/3*b**2 - 2/3*b**3 - 392/3*b + 0 = 0.
0, 14
Suppose 2 = -b + 6. Let i(o) = o**2 - o + 1. Let g(t) = t**2 - 2*t + 1. Let y(h) = b*i(h) - 3*g(h). Factor y(d).
(d + 1)**2
Let o = -4679/105 + 312/7. Let b(i) be the third derivative of 0*i + o*i**7 + 0 + 1/12*i**4 + 0*i**3 + 2*i**2 + 1/10*i**5 + 1/20*i**6. Let b(k) = 0. What is k?
-1, 0
Let t(s) = 10 + 4*s + 3*s**2 - 5 + 5*s**2 - 21*s**3. Suppose 0 = 6*r - r - 5. Let n(q) = q**3 - q - 1. Let w(y) = r*t(y) + 5*n(y). Determine i so that w(i) = 0.
0, 1/4
Suppose 6*l + 2*l**2 + 2*l**2 + 2*l + 1 + 3 = 0. Calculate l.
-1
Factor -8*v**3 - 4*v**2 + 3*v**2 + 6*v**3 + 3*v**3.
v**2*(v - 1)
Solve 11/6*q - 1/2 + 2/3*q**2 = 0.
-3, 1/4
Let j(w) = -w**4 + 5*w**3 + 2*w**2 - 6*w. Let r(x) = -x**4 + 4*x**3 + 2*x**2 - 5*x. Let p(t) = -5*j(t) + 6*r(t). Find y such that p(y) = 0.
-2, 0, 1
Let n(r) be the second derivative of -1/6*r**3 + 3*r + 0*r**6 - 1/42*r**7 + 0*r**2 + 0 + 1/10*r**5 + 0*r**4. Let n(t) = 0. Calculate t.
-1, 0, 1
Let h(k) = 14*k**3 + 94*k**2 + 85*k + 20. Let z(b) = -55*b**3 - 375*b**2 - 340*b - 80. Let g(d) = 25*h(d) + 6*z(d). Let g(c) = 0. Calculate c.
-4, -1/2
Let -2/3*g**2 - 2/3*g + 2/3*g**4 + 1/6*g**5 + 1/2*g**3 + 0 = 0. What is g?
-2, -1, 0, 1
Let t(o) be the first derivative of 3*o**6/2 + 39*o**5/5 + 51*o**4/4 + 3*o**3 - 12*o**2 - 12*o + 12. Find a, given that t(a) = 0.
-2, -1, 2/3
Suppose 0 = -11*d + 16*d - 35. Let x(y) be the third derivative of 3*y**2 + 1/630*y**d + 0*y**4 + 0*y - 1/90*y**5 + 1/18*y**3 + 0*y**6 + 0. Factor x(v).
(v - 1)**2*(v + 1)**2/3
Let l be (12/(-18))/(2/(-27)). Suppose 3*t + 3*s = 2*s + l, 5*t - 5*s - 15 = 0. Solve 0*n**2 - 1/4*n**t + 1/4*n + 0 = 0 for n.
-1, 0, 1
Let d(p) be the second derivative of -p**4/60 - p**3/6 - 2*p**2/5 + 20*p. Factor d(n).
-(n + 1)*(n + 4)/5
Let j(s) be the first derivative of -s**4 + 1 + 0*s**2 - 2/3*s**3 + 0*s - 2/5*s**5. Factor j(b).
-2*b**2*(b + 1)**2
Find a, given that 1/3*a**2 - 2/3*a**3 + 1/3*a**4 + 0*a + 0 = 0.
0, 1
Let s be 6*(-1)/(9/6). Let c be (s/(-5))/((-5)/(-5)). What is g in 0 - c*g**2 + 2/5*g**3 + 2/5*g = 0?
0, 1
Let y(x) = -2*x**5 - 4*x**4 - 5*x**3 - x**2 + 4*x - 1. Let j(c) = -3*c**5 - 5*c**4 - 6*c**3 - 2*c**2 + 5*c - 1. Let p(u) = 3*j(u) - 4*y(u). Factor p(b).
-(b - 1)**3*(b + 1)**2
Let j(f) = -f**3 + f + 1. Let n(x) = -42*x**4 + 3*x**3 + 46*x**2 - 3*x - 5. Let m(l) = j(l) + n(l). Let m(d) = 0. Calculate d.
-1, -2/7, 1/3, 1
Suppose 5*u - u = 8. Suppose -5*h + 12 = -4*i, u*h - 5*h - 3*i - 9 = 0. Let -3/5*w**3 + h*w - 6/5*w**5 + 0 - 9/5*w**4 + 0*w**2 = 0. Calculate w.
-1, -1/2, 0
Let s(v) be the second derivative of v**4/15 + 16*v**3/15 + 32*v**2/5 + 5*v. Let s(u) = 0. Calculate u.
-4
Let y(t) = -t**2. Let f(l) = l**3 + 5*l**2 - 2. Let c(d) = d**3 + 6*d**2 + d - 2. Let o(m) = -3*c(m) + 4*f(m). Let a(g) = o(g) + 2*y(g). Factor a(x).
(x - 2)*(x + 1)**2
Let p(v) be the first derivative of 5*v**6/2 + 27*v**5/5 + 18*v**4/5 + 4*v**3/5 + 19. Factor p(x).
3*x**2*(x + 1)*(5*x + 2)**2/5
Let m(v) = v**3 - 5*v**2 + 6*v - 2. Let b be m(5). Suppose -x + 8 = f, f = -3*f - 3*x + b. Solve -2 - f - s**2 + 2*s + 5 = 0 for s.
1
Let t(k) be the second derivative of k**4/72 - k**3/12 + k**2/6 - 12*k. Factor t(r).
(r - 2)*(r - 1)/6
Let o(c) = -c**3 - c**2 + 5*c + 2. Let b be o(-3). Factor 3/5*k**3 - 1/5*k - k**4 + 0 + 2/5*k**b + 1/5*k**2.
k*(k - 1)**3*(2*k + 1)/5
Let l(g) be the third derivative of -5*g**2 + 0*g - 1/270*g**6 + 0 + 0*g**5 + 1/27*g**3 + 1/54*g**4 - 1/945*g**7. Factor l(x).
-2*(x - 1)*(x + 1)**3/9
Let g(w) be the third derivative of -w**7/168 + w**6/48 - 5*w**4/48 + 5*w**3/24 + 22*w**2. Suppose g(c) = 0. What is c?
-1, 1
Let r(l) = -l**5 - 2*l**4 + 2*l**3 + 2*l**2 - l. Let x(k) = -2*k**5 - 4*k**4 + 5*k**3 + 4*k**2 - 3*k. Let o(t) = 15*r(t) - 6*x(t). Factor o(s).
-3*s*(s - 1)*(s + 1)**3
Let w(d) be the second derivative of -7*d**4/4 - 15*d**3 - 12*d**2 + 38*d - 2. Determine z, given that w(z) = 0.
-4, -2/7
Let f be (-20)/96*-10 - 2. Let q(y) be the first derivative of 1/6*y**3 - 1/10*y**5 - 2 + 2*y**2 + 2*y - 5/8*y**4 + f*y**6. Factor q(z).
(z - 2)**2*(z + 1)**3/2
Let c(i) be the third derivative of -i**5/60 + i**4/24 - 6*i**2. Factor c(t).
-t*(t - 1)
Suppose 4*p = -5*c + 1 - 10, -5*p = -c - 25. Let u(x) be the second derivative of 1/24*x**p + 0 - 1/3*x**3 + x**2 - 3*x. Let u(t) = 0. Calculate t.
2
Factor 0 - 1/3*a**4 + 1/3*a**2 + 0*a**3 + 0*a.
-a**2*(a - 1)*(a + 1)/3
Let -161*r**3 - 23*r**4 - 301*r**4 - 16*r**2 + 17*r**3 = 0. What is r?
-2/9, 0
Let h = 12 + -6. Solve -j**3 + 7*