3/2*u**b + 0.
-u*(u + 1)*(u + 2)/2
Let k(n) be the second derivative of n**4/3 + 8*n**3 + 72*n**2 + 19*n. Factor k(x).
4*(x + 6)**2
Let p(z) = -z**2 - 3*z + 3. Suppose -4*r + 16 = -4. Let u(n) = n**2 + 3*n - 4. Let v(c) = r*u(c) + 6*p(c). Find g, given that v(g) = 0.
-2, -1
Let j(u) be the third derivative of 0*u**4 + 6*u**2 - 1/90*u**5 + 0*u + 1/9*u**3 + 0. Factor j(g).
-2*(g - 1)*(g + 1)/3
Let n be (6/(-9))/(3/(-18)). Let w(q) be the second derivative of n*q + 0*q**2 - 1/20*q**5 + 0*q**3 + 0 - 1/30*q**6 + 1/6*q**4. Let w(y) = 0. Calculate y.
-2, 0, 1
Let b(m) be the second derivative of 5*m**7/42 + m**6/6 - 5*m**5/4 - 5*m**4/12 + 20*m**3/3 - 10*m**2 + 9*m. Let b(q) = 0. Calculate q.
-2, 1
Let k(l) = 3*l**4 - 10*l**3 - 21*l**2 - 3*l. Let z(w) = w + w**2 + w**4 + 3*w - 3*w - 2*w**2. Let y(r) = -k(r) + 5*z(r). Solve y(j) = 0 for j.
-2, -1, 0
Let z be ((-46)/345)/(1/(-5)). Suppose 0*s + 0*s**2 + z*s**3 + 0 - 8/3*s**4 = 0. Calculate s.
0, 1/4
Suppose 3*i - 2*a = 1, 9*a - 26 = -2*i + 4*a. Factor -2/9*w - 4/9 + 4/9*w**2 + 2/9*w**i.
2*(w - 1)*(w + 1)*(w + 2)/9
Suppose -4*i = -2*i - 12. What is h in -2*h - 2*h**4 - i*h**3 - 5*h + 10*h**2 + 2*h**5 + 3*h = 0?
-2, 0, 1
Let u(g) be the first derivative of -g**4/12 + g**3/3 + g**2/6 - g - 14. Factor u(o).
-(o - 3)*(o - 1)*(o + 1)/3
Let l(j) be the first derivative of j**6/80 + 3*j**5/40 + 3*j**4/16 + j**3/4 - 3*j**2 + 4. Let m(w) be the second derivative of l(w). What is f in m(f) = 0?
-1
Factor -2*n**4 + 0 + 0 + 9*n**3 - 7*n**3.
-2*n**3*(n - 1)
Factor -2 + 1 + 0 + f**2 + 0*f**2.
(f - 1)*(f + 1)
Let v(r) be the third derivative of 0*r + 0*r**4 + 0*r**3 - 1/105*r**6 + 0*r**5 - 1/24*r**8 - 4/105*r**7 - 3*r**2 + 0. Factor v(l).
-2*l**3*(7*l + 2)**2/7
Let w be 3 + -4 + 13 + -2. Let o be (8/(-5))/((-4)/w). Solve 1/2*t**5 + t**o - t**2 - 1/2*t + 0*t**3 + 0 = 0.
-1, 0, 1
Let g(u) be the first derivative of 2*u**5/35 - 2*u**3/21 - 13. Factor g(k).
2*k**2*(k - 1)*(k + 1)/7
Let g(z) be the second derivative of -49/10*z**5 + 0 + 3*z - 7/3*z**4 + 4/3*z**3 + 8/7*z**2. Factor g(i).
-2*(7*i - 2)*(7*i + 2)**2/7
Let l(t) be the second derivative of -1/4*t**4 - t + t**2 + 0 - 2/3*t**3 - 1/30*t**5. Let j(z) be the first derivative of l(z). Find a, given that j(a) = 0.
-2, -1
Suppose -2*o = y - 1, -3*o - 3 = -5*y - 11. Let i = o - -3. Factor f - 3*f + i - 2*f**2 + 0*f.
-2*(f - 1)*(f + 2)
Let z be 1*-1 - 24/(-16). Let o(g) be the second derivative of -1/15*g**6 - 1/3*g**3 + 0*g**2 - 3/10*g**5 + 0 + g - z*g**4. Solve o(b) = 0.
-1, 0
Let p(b) be the first derivative of b**6/18 - b**5/15 - b**4/4 + b**3/9 + b**2/3 + 6. Factor p(m).
m*(m - 2)*(m - 1)*(m + 1)**2/3
Let l(h) be the third derivative of h**7/42 - h**6/12 - h**5/12 + 5*h**4/12 + 23*h**2. Let l(k) = 0. Calculate k.
-1, 0, 1, 2
Find l, given that 4 - 10*l**3 + 8*l**3 + 7*l - l = 0.
-1, 2
Let s(p) = -7*p**2 + 3*p + 13. Let a(m) = 36*m**2 - 16*m - 64. Let l be (4/3)/(8/18). Let j(y) = l*a(y) + 16*s(y). Determine k so that j(k) = 0.
-2, 2
Let q(u) be the third derivative of 0*u**3 + 0*u**4 - 4*u**2 + 0 - 7/120*u**6 + 1/30*u**5 + 0*u. Factor q(i).
-i**2*(7*i - 2)
Find o such that -32*o + 30*o**2 - 68*o**2 - 20*o**4 - 74*o**2 - 88*o**3 = 0.
-2, -2/5, 0
Let n be 1/2*(7 + 3). Let a(y) = 3*y**4 + 8*y**3 - 7*y**2 + 13*y + 3. Let p(t) = -t**4 - 4*t**3 + 4*t**2 - 6*t - 1. Let j(b) = n*p(b) + 2*a(b). Factor j(m).
(m - 1)**4
Let f(x) = 4*x**4 - 8*x**2 - 10*x - 2. Let c(b) = -5*b**4 + b**3 + 9*b**2 + 10*b + 1. Let z(d) = -2*c(d) - 3*f(d). Find p, given that z(p) = 0.
-1, 2
What is y in 69*y - 44 + 2*y**3 + y - 22*y**2 - 6 = 0?
1, 5
Suppose -24*i - 1 = -49. Factor 2/5*k**i + 0 - 2/5*k + 2/5*k**3 - 2/5*k**4.
-2*k*(k - 1)**2*(k + 1)/5
Let s be (-4)/(-6) - (-26)/6. Suppose 7*u**4 + 4*u**4 - 3 - 5*u**4 - 6*u**2 + 6*u**3 + 3*u**4 + 3*u**s - 9*u = 0. Calculate u.
-1, 1
Let n(p) be the third derivative of p**8/2240 + p**7/120 + p**6/30 - 2*p**5/5 + p**4/3 - 8*p**2. Let u(c) be the second derivative of n(c). Solve u(m) = 0.
-4, 1
Let t = 41 - 163/4. Determine d so that -t*d**4 + 0 - 1/2*d - d**3 - 5/4*d**2 = 0.
-2, -1, 0
Suppose -1 = g - 5. Determine w, given that -14/5*w**3 + 6/5*w**2 + 6/5*w - 4/5 + 6/5*w**g = 0.
-2/3, 1
Let o be (-26)/(-4) - 9/18. Let m(n) be the third derivative of 0*n + 1/40*n**5 + 1/40*n**7 + 0*n**4 + 0*n**3 + 9/160*n**o + n**2 + 0. Factor m(z).
3*z**2*(z + 1)*(7*z + 2)/4
Find q such that -15*q**4 + 0 - 235*q**2 + 9*q**5 + 247*q**2 + 0 - 12*q**3 = 0.
-1, 0, 2/3, 2
Let u(z) be the first derivative of z**4/4 - z**2/2 - 6. Factor u(d).
d*(d - 1)*(d + 1)
Suppose 5*a - 2 = -7. Let l(q) be the third derivative of -q**6/120 - q**4/24 - 2*q**2. Let c(m) = 5*m**3 + 6*m. Let r(k) = a*c(k) - 6*l(k). Factor r(z).
z**3
Let f(z) = z + 2. Let l be f(1). Suppose 2*u = -l*u + 20. Determine h so that 1/2*h**2 - 3/4*h**u - 1/2*h**3 - 1/4*h**5 + 1/4 + 3/4*h = 0.
-1, 1
Let f(m) be the first derivative of -4*m**3/3 - 2*m**2 - 9. Factor f(c).
-4*c*(c + 1)
Let b(a) = a**2 + 1. Let t(y) = -y - 8. Let l be t(-7). Let i(m) = -6*m**2 - 4*m + 1. Let o(d) = l*i(d) - 3*b(d). Factor o(x).
(x + 2)*(3*x - 2)
Let r be 43/(-1) + (-9)/(-3). Let g be r/(-36)*3/5. Determine b so that 0 + g*b**2 + 2/3*b = 0.
-1, 0
Factor t**4 + 0*t**3 - 7*t**2 - t + 3*t + 6*t**4 - 2*t**3.
t*(t - 1)*(t + 1)*(7*t - 2)
Factor 3/5*b**5 + 0 + 0*b**2 - 24/5*b**4 - 81/5*b + 54/5*b**3.
3*b*(b - 3)**3*(b + 1)/5
What is s in -4*s**2 - 9*s**4 + 32*s - 6*s**4 - 32*s**3 + 2*s**4 + 16 + s**4 = 0?
-2, -1, -2/3, 1
Suppose 4 - 14 = -5*m. Let r(w) be the third derivative of 0 + 1/100*w**5 + 1/600*w**6 - 2/15*w**3 + 0*w**4 - w**m + 0*w. Determine j, given that r(j) = 0.
-2, 1
Let t(a) be the third derivative of -a**7/1680 + a**6/360 + a**5/240 - a**4/24 - 2*a**3/3 + 3*a**2. Let l(p) be the first derivative of t(p). Factor l(v).
-(v - 2)*(v - 1)*(v + 1)/2
Let l(t) be the second derivative of 6*t + 0 - 1/105*t**6 + 0*t**2 + 0*t**3 + 0*t**5 + 1/42*t**4. Factor l(o).
-2*o**2*(o - 1)*(o + 1)/7
Let r be (-2)/(-6) - (-12712)/(-30). Let u = r - -425. What is h in 2/5*h**3 - 6/5*h**4 - 2/5*h**5 - u + 14/5*h**2 + 0*h = 0?
-2, -1, 1
Let c(w) be the third derivative of -w**5/60 + w**4/12 + w**3/2 + 4*w**2. Let f be c(0). Find x such that -5/3*x**3 - 2/3 + 5/3*x + f*x**2 - 7/3*x**4 = 0.
-1, 2/7, 1
Factor 0 + 0*t + 2/13*t**4 + 8/13*t**2 + 8/13*t**3.
2*t**2*(t + 2)**2/13
Let c(b) = -2*b**2 - 4*b + 7. Let w(g) = g**2 + 2*g - 10. Let n(p) = -1. Let f(l) = 6*n(l) - w(l). Let v(s) = 4*c(s) - 7*f(s). Solve v(x) = 0 for x.
-2, 0
Let n(y) = y**2 + 7*y + 4. Let s(p) = -9*p**2 - 69*p - 39. Let b(k) = 21*n(k) + 2*s(k). Factor b(f).
3*(f + 1)*(f + 2)
Let d(s) be the third derivative of 1/6*s**3 + 0*s - s**2 + 0*s**4 - 1/60*s**5 + 0. Factor d(n).
-(n - 1)*(n + 1)
Let r(j) = j**2 - 3*j - 5. Let h(k) = 4*k - 3. Let q be h(2). Let b be r(q). Factor y + b*y + 6*y - 6*y**2 + y**3 - 8.
(y - 2)**3
Factor 0*b - 4/3 + 1/3*b**2.
(b - 2)*(b + 2)/3
Let n(q) be the second derivative of 0*q**2 + 1/12*q**3 + 3/8*q**5 + 7/24*q**4 + 0 - q + 1/21*q**7 + 13/60*q**6. Factor n(a).
a*(a + 1)**3*(4*a + 1)/2
Let y = 9 + -4. Let u(v) be the second derivative of 0*v**2 + 2*v + 1/30*v**y + 0*v**3 - 1/9*v**4 + 0. Solve u(s) = 0 for s.
0, 2
Let w(m) be the second derivative of -1/10*m**3 + 0*m**2 + 1/70*m**7 + 0 + 1/10*m**4 + 0*m**5 - 2*m - 1/25*m**6. Factor w(x).
3*x*(x - 1)**3*(x + 1)/5
Let m be (1/(-7))/((-16)/28). Let j(b) be the first derivative of 0*b - 3/10*b**5 + 0*b**2 + 1 - m*b**4 + 1/6*b**3. Let j(l) = 0. Calculate l.
-1, 0, 1/3
Let n(v) be the second derivative of v**5/90 + v**4/18 - 4*v**2/9 - 12*v. Factor n(z).
2*(z - 1)*(z + 2)**2/9
Let u = 27 + -16. Let z be (u/3 + -3)*1. Factor -1/3 - 1/3*m**2 + z*m.
-(m - 1)**2/3
Factor 0 + 6/19*s**3 + 0*s + 4/19*s**2 + 2/19*s**4.
2*s**2*(s + 1)*(s + 2)/19
What is y in 1/2*y**2 + 0 + 1/2*y = 0?
-1, 0
Let u = -726 - -726. Find d, given that u + 0*d + 3/5*d**2 = 0.
0
Factor -4/7*x - 24/7 + 24/7*x**2 + 4/7*x**3.
4*(x - 1)*(x + 1)*(x + 6)/7
Let u(j) be the third derivative of -2*j**7/105 + 7*j**6/120 - j**5/30 - j**4/24 + 3*j**2. Factor u(n).
-n*(n - 1)**2*(4*n + 1)
Let w(u) = -4*u - 2 - 6 + 5*u. Let o be w(10). Factor 7*y**o + 8*y**3 + 2*y**4 + 12*y - 4*y + 2 + 5*y**2.
2*(y + 1)**4
Suppose -5*t = -c - 3, 3*t + 3*c - 5*c - 6 = 0. Suppose 2*l - l + 