en that 4*h**2 - 2/3*h**3 - 8*h + 16/3 = 0.
2
Let x(p) be the second derivative of 1/24*p**4 + 0*p**2 - 3*p + 1/6*p**3 + 0. Let x(f) = 0. Calculate f.
-2, 0
Factor 10/11*a**2 + 0 + 4/11*a - 2/11*a**4 - 2/11*a**5 + 6/11*a**3.
-2*a*(a - 2)*(a + 1)**3/11
Let j(h) be the third derivative of -h**5/300 - h**4/30 - h**3/10 + 2*h**2 + 2*h. Factor j(g).
-(g + 1)*(g + 3)/5
Factor 20 + 12 + 20*r + 4*r**2 - 8.
4*(r + 2)*(r + 3)
Suppose 7 = 4*y - 9. Suppose -3 = -2*x + 3. Factor -8*g**x - 7*g**4 + g**2 + 39*g**y + g**2 - 8*g**3.
2*g**2*(4*g - 1)**2
Suppose -14/9*o - 4/9*o**2 - 8/9 + 2/9*o**3 = 0. Calculate o.
-1, 4
Suppose 4*a - 1 - 7 = 0. Let j(l) = 1 + 0 - 2*l - 2*l**a + 2. Let q(u) = 5*u**2 + 5*u - 8. Let h(i) = -8*j(i) - 3*q(i). Factor h(b).
b*(b + 1)
Let p(w) = 6*w - 1. Let a be p(1). Let b(q) be the third derivative of 0*q**4 + 1/120*q**a - 1/12*q**3 + 0 + 2*q**2 + 0*q. Factor b(o).
(o - 1)*(o + 1)/2
Let q(i) be the first derivative of -i**6/6 + 4*i**5/5 - 25*i**4/16 + 19*i**3/12 - 7*i**2/8 + i/4 + 12. Let q(c) = 0. Calculate c.
1/2, 1
Let x(d) be the second derivative of -d**4/66 + 5*d**3/33 - 4*d**2/11 - 5*d. Factor x(j).
-2*(j - 4)*(j - 1)/11
Let p(f) be the first derivative of 2*f**3 + 10*f**2 - 16*f + 15. Suppose p(r) = 0. What is r?
-4, 2/3
Factor -2*h - 3*h + 0*h**2 + 3*h - h**2.
-h*(h + 2)
Let t be ((-15)/10)/(6/(-8)). Solve -6*k**t - 6*k**2 + 4*k**2 + 4*k**2 = 0 for k.
0
Let u(b) be the third derivative of b**7/280 - b**6/40 + b**5/20 + b**3/2 - 3*b**2. Let i(d) be the first derivative of u(d). Factor i(m).
3*m*(m - 2)*(m - 1)
Let m(w) be the first derivative of w**7/280 - 7*w**6/1080 - w**5/180 - w**3/3 - 1. Let g(l) be the third derivative of m(l). Factor g(k).
k*(k - 1)*(9*k + 2)/3
Let t(d) = 2*d**4 + 4*d**3 - 4*d - 2. Let u(l) = -3*l**4 - 8*l**3 + 8*l + 3. Let s(p) = 7*t(p) + 4*u(p). Solve s(b) = 0 for b.
-1, 1
Let j = -11 + 23/2. Suppose 68 - 44 = 12*r. Factor 1/2*u**5 + u**r - 5/4*u**4 + j*u**3 + 1/4 - u.
(u - 1)**3*(u + 1)*(2*u - 1)/4
Factor -r**2 + 300 - 2*r**2 + 60*r + 6*r**2.
3*(r + 10)**2
Let l be (1470/392)/((-6)/(-4)). Solve 1/2*v**3 + l*v**2 + 2 + 4*v = 0 for v.
-2, -1
Let b(y) = 5*y**3 - y. Let z be b(1). Let -9*d**2 + 2*d**5 + 9*d**2 - 2*d**4 + 6*d**z = 0. Calculate d.
-2, 0
Determine o, given that 0*o**2 + 6*o**3 + 3*o**2 - 3*o**3 = 0.
-1, 0
Let q be -1*13/26 + 13/6. Factor 1/3*v**4 + 3*v**2 + 2/3 - 7/3*v - q*v**3.
(v - 2)*(v - 1)**3/3
Let s be -3 + 34/20*2. Let g = 28/145 + 6/29. Solve g*q - 2/5*q**2 + 2/5 - s*q**3 = 0.
-1, 1
Let i be (3 - 0)*2/3. Let p(t) = -t**3 - 18*t**2 - 15*t + 34. Let h be p(-17). Suppose h*n - 1/3*n**5 + 0 - 1/3*n**3 + 2/3*n**4 + 0*n**i = 0. Calculate n.
0, 1
Let w(d) be the first derivative of 1/6*d**2 - 1/18*d**3 - 1 - 1/6*d. Find a, given that w(a) = 0.
1
Let x be 4/(-2) + (16 - 13). Solve -1/2*q**2 - x + 3/2*q = 0 for q.
1, 2
Suppose 2*v - w - 2 = -4*w, -v = -3*w + 17. Let f be v + (2 - -1) - -4. Solve -2*q + 2/3*q**5 - 2*q**4 + 2/3 + 4/3*q**3 + 4/3*q**f = 0.
-1, 1
Let r(k) be the third derivative of 0 + 0*k - 3*k**2 - 1/8*k**6 - 3/8*k**4 - 9/20*k**5 + 1/2*k**3. Factor r(b).
-3*(b + 1)**2*(5*b - 1)
Factor 0 - 1/5*a - 1/10*a**2.
-a*(a + 2)/10
Factor 3*r**2 + 3 - 6 - 3*r + 2*r + 4*r - 3*r**3.
-3*(r - 1)**2*(r + 1)
Let u(k) be the second derivative of 0*k**3 + 0*k**2 + 1/10*k**5 + 3*k + 1/6*k**4 + 0. Let u(z) = 0. Calculate z.
-1, 0
Find l such that 0 - 1/3*l**2 + 0*l = 0.
0
Suppose 1/3*p - 1/3*p**3 - 4/3*p**2 + 4/3*p**4 + 0 = 0. What is p?
-1, 0, 1/4, 1
Let u(v) be the first derivative of 27*v**4 - 15*v**3 - 3*v**2 + 3*v + 9. Determine f, given that u(f) = 0.
-1/4, 1/3
Let g(i) be the third derivative of -i**10/15120 - i**9/3780 - i**8/3360 - i**4/24 + i**2. Let n(j) be the second derivative of g(j). Let n(x) = 0. What is x?
-1, 0
Let i(w) be the third derivative of w**8/728 + 2*w**7/195 + w**6/390 - 4*w**5/39 + w**4/52 + 6*w**3/13 - 15*w**2. Find s, given that i(s) = 0.
-3, -2/3, 1
Suppose 72 + 24 = -6*g. Let f be g/(-18) + 20/(-90). Let 2/3*t + 0 - f*t**3 + 2*t**2 - 2*t**4 = 0. Calculate t.
-1, -1/3, 0, 1
Factor 0*b**3 - 2/5*b**4 + 1/5*b**5 + 0 - 1/5*b + 2/5*b**2.
b*(b - 1)**3*(b + 1)/5
Let g be 0/(9/3*(-1 + 2)). Factor -1/4*u**2 + g*u + 1.
-(u - 2)*(u + 2)/4
Let p(k) be the first derivative of k**6/27 + 4*k**5/15 + 7*k**4/9 + 32*k**3/27 + k**2 + 4*k/9 + 5. Factor p(r).
2*(r + 1)**4*(r + 2)/9
Let b = 331 - 46341/140. Let g = 269/1540 - b. Find l such that 0 + 12/11*l**3 + 18/11*l**4 + 0*l + g*l**2 = 0.
-1/3, 0
Let q be (1 - -1)*1/12. Let l(b) be the third derivative of -2*b**2 - 1/60*b**5 + 0*b**4 + 0*b + q*b**3 + 0. Find h such that l(h) = 0.
-1, 1
Let x(y) be the third derivative of 2*y**7/105 + y**6/40 - 7*y**5/20 + 17*y**4/24 - y**3/2 + 2*y**2. Suppose x(d) = 0. Calculate d.
-3, 1/4, 1
Factor -3*z**3 - 4*z**2 - 114*z - 4*z**4 + 126*z + 8 - 9*z**3.
-4*(z - 1)*(z + 1)**2*(z + 2)
Let i(g) = -3*g**5 - 105*g**4 - 737*g**3 - 1713*g**2 + 2*g. Let x(p) = -2*p**5 - 105*p**4 - 738*p**3 - 1712*p**2 + 3*p. Let s(y) = 3*i(y) - 2*x(y). Factor s(k).
-5*k**2*(k + 7)**3
Let l(z) = 5*z**4 + 15*z**3 - 14*z + 6. Let b(k) = 45*k**4 + 135*k**3 - 125*k + 55. Let h(i) = 6*b(i) - 55*l(i). Factor h(g).
-5*g*(g - 1)*(g + 2)**2
Let d(w) be the third derivative of -w**7/735 + w**6/140 + w**5/35 - w**4/3 + 8*w**3/7 + w**2. Factor d(a).
-2*(a - 2)**3*(a + 3)/7
Let c be 215/43 + 10/(-2). Let l(t) be the second derivative of -1/4*t**4 + 0*t**2 + c - 3*t - 1/4*t**3 - 3/40*t**5. Factor l(z).
-3*z*(z + 1)**2/2
Suppose -3*c = a + 13, -4*a + 16 = -c + 3. What is k in -k - 1/3*k**a - 2/3 = 0?
-2, -1
Let u(r) = r**3 + 45*r**2 - 25*r - 9. Let z(a) = a**3 + 22*a**2 - 12*a - 4. Let y(g) = 4*u(g) - 9*z(g). Suppose y(k) = 0. Calculate k.
-4, 0, 2/5
Let n(c) be the third derivative of 0 + 3/40*c**5 + 1/16*c**4 + 0*c - 7*c**2 - 1/16*c**6 + 0*c**3 + 1/56*c**8 - 3/140*c**7. Solve n(u) = 0 for u.
-1, -1/4, 0, 1
Let -2*s**3 - 11*s**2 - s**3 + 14*s**2 = 0. What is s?
0, 1
Let h = -29 + 31. Let u be ((-8)/8)/((-7)/h). Determine z, given that 0 + 0*z + 0*z**2 - 4/7*z**4 + u*z**5 + 2/7*z**3 = 0.
0, 1
Let a(b) = -1 + 0*b**2 - b**2 - 13*b + 12*b. Let q(v) = 2*v + 0*v**3 + 4*v**3 - 6 - 10*v**2 - 2*v**3. Let i(s) = -4*a(s) + q(s). Solve i(h) = 0 for h.
1
Factor -18 - 9 - 18*s - s**2 - 2*s**2.
-3*(s + 3)**2
Let h(l) be the third derivative of 0 - 1/3*l**3 - 1/15*l**5 - 1/3*l**4 - 1/180*l**6 + 2*l**2 + 0*l. Let z(g) be the first derivative of h(g). Factor z(y).
-2*(y + 2)**2
Let k(s) be the third derivative of -s**6/900 + s**5/150 - s**4/60 + s**3/3 - 4*s**2. Let n(r) be the first derivative of k(r). Find y, given that n(y) = 0.
1
Let w = -494 - -494. Factor 1/5*y**5 + 0 - 2/5*y**2 - 3/5*y**3 + w*y + 0*y**4.
y**2*(y - 2)*(y + 1)**2/5
Let j(c) = -4*c**4 + 2*c**3 - 6*c**2 - 8*c + 4. Let t(o) = 11*o**4 - 6*o**3 + 18*o**2 + 23*o - 12. Let b(s) = 17*j(s) + 6*t(s). Solve b(r) = 0.
-2, -1, 1
Find y, given that -1/5 - 1/5*y + 1/5*y**3 + 1/5*y**2 = 0.
-1, 1
Let w(i) = i**4 - i**3. Let m(o) = -8*o**4 + 10*o**3 - 2*o**2. Let l(f) = 4*m(f) + 28*w(f). Suppose l(h) = 0. Calculate h.
0, 1, 2
Suppose 0 = -v - 3*x + 33, -16 = -3*x - x. Let l be -26*3/v + 4. Find n, given that 2/7 - 2/7*n**3 - 2/7*n**2 + l*n = 0.
-1, 1
Suppose -12 + 28 = 8*o. Find x such that 3/5 + 3/5*x**o - 6/5*x = 0.
1
Let f(u) be the first derivative of u**4 + 4*u**3/3 - 8*u**2 - 16*u + 8. Factor f(k).
4*(k - 2)*(k + 1)*(k + 2)
Let -2/5*y**3 + 0*y + 0 + 0*y**2 + 8/5*y**4 = 0. What is y?
0, 1/4
Solve 0*i**2 + 4/9*i**3 + 0 + 0*i + 2/9*i**4 = 0.
-2, 0
Suppose 0 = 18*f - 18 - 18. Determine w, given that -2/3*w**f - 10/9*w - 4/9 = 0.
-1, -2/3
Let i = 20 + -14. Let l(z) = -z**2 + z. Let j(c) = c**2 - c. Let w(p) = i*j(p) + 5*l(p). Factor w(d).
d*(d - 1)
Let p be (2/3)/((3*-2)/(-3)). Determine x so that 0 + 1/3*x - 2/3*x**2 + p*x**3 = 0.
0, 1
Let p(x) = x**3 - x - 2. Suppose -3*d + 6 = 33. Let n(o) = 4*o**3 - 4*o - 9. Let h(k) = d*p(k) + 2*n(k). Let h(v) = 0. Calculate v.
-1, 0, 1
Let d(i) be the second derivative of i**6/30 - i**4/3 + 38*i. Determine p, given that d(p) = 0.
-2, 0, 2
Let s(m) = -5*m - 80. Let v be s(-17). Suppose 0*c**4 + 0*c + 0*c**2 + 0 - 2/5*c**3 + 2/5*c**v = 0. What is c?
-1, 0, 1
Let t(c) = 3*c**3 + c**2 - 3*c + 1. Let j(n) = -n**3 + n. Let v(k) = 4*j(k) + t(k). Let l be v(-1). F