**2/2 - 31*h. Factor o(c).
-3*(c - 1)**2*(c + 3)
Solve -12 + 86/3*w + 140/3*w**2 = 0 for w.
-9/10, 2/7
Suppose -3*j + 20 = j. Suppose -s + j = -0*s. Suppose -18*r**2 - 20*r + 4*r**3 + s*r**3 + 2*r + 39*r**2 = 0. Calculate r.
-3, 0, 2/3
Solve -5202/7 - 204/7*c - 2/7*c**2 = 0 for c.
-51
Let i(p) be the second derivative of 0*p**3 + 0*p**2 - 1/6*p**6 + 5/42*p**7 - 5/4*p**5 + 0 - 5/4*p**4 - p. Factor i(v).
5*v**2*(v - 3)*(v + 1)**2
Find l, given that -10 - 133*l**2 - 31*l - 4*l**3 - 2 + 59*l**2 + 51*l**2 = 0.
-4, -1, -3/4
Let a(o) be the second derivative of o**4/20 + 13*o**3/10 - 21*o**2/5 + o - 30. Find j such that a(j) = 0.
-14, 1
Let l = 1099/1350 - 31/54. Let m(y) be the first derivative of -l*y**5 - 1/5*y**4 + 5 + 1/3*y**6 + 0*y**3 + 0*y**2 + 0*y. Factor m(i).
2*i**3*(i - 1)*(5*i + 2)/5
Let q be -5 + 6/((-9)/(-3)). Let l be q/(2 - (-15)/(-7)). Determine y, given that 15*y**3 + y**4 - l*y**3 + 2*y**4 + 6*y - 3 = 0.
-1, 1
Let c(f) = 50*f**4 + 135*f**3 - 530*f**2 + 90*f. Let r(k) = 25*k**4 + 67*k**3 - 265*k**2 + 44*k. Let g(j) = 3*c(j) - 5*r(j). Factor g(h).
5*h*(h - 2)*(h + 5)*(5*h - 1)
Let p(w) = -w**2 - 7*w - 19. Let u(z) = -z**2 - 7*z - 18. Let r(q) = 6*p(q) - 7*u(q). Let t be r(-5). Factor 5/3*h**3 - 3*h**t + h + 1/3.
(h - 1)**2*(5*h + 1)/3
Let c(u) be the first derivative of 7*u**6/1080 + u**5/180 - 8*u**3 + 17. Let o(t) be the third derivative of c(t). Factor o(x).
x*(7*x + 2)/3
Let u = -1449/4 + 363. Factor -3/4*t - u*t**2 - 1/4*t**3 - 1/4.
-(t + 1)**3/4
Let d(r) = -r**3 - 19*r**2 - 21*r + 6. Let f be d(-18). Let l be 0*-3*5/f. Solve -1/2*y**2 + l*y + 1/2 = 0 for y.
-1, 1
Let r be (5/3)/5 - 73/219. Let v(j) be the second derivative of r - 1/30*j**6 + 8*j - 8*j**2 - 2*j**4 - 16/3*j**3 - 2/5*j**5. Solve v(f) = 0.
-2
Suppose 7 = r + 3*k + 1, -5*k + 14 = 3*r. Determine t, given that 25*t**2 - 109*t**2 - 8 + 44*t - 15*t**4 + 53*t**r - 5*t**4 + 15*t**3 = 0.
2/5, 1
Let s(l) be the third derivative of -l**7/420 - 7*l**6/48 + 3*l**5/10 - 983*l**2. Factor s(p).
-p**2*(p - 1)*(p + 36)/2
Let u = 5779 - 5776. Let n be 8/(-6)*(-2)/12. Factor -2/9*d**5 + 0 + 0*d - 2/3*d**u + 2/3*d**4 + n*d**2.
-2*d**2*(d - 1)**3/9
Suppose 402/11*l**3 - 2460/11*l**2 + 3968/11*l - 14/11*l**4 + 1344/11 = 0. Calculate l.
-2/7, 4, 21
Let o be (2 - -171) + -2 + 8. Let f = -533/3 + o. Solve 2*k**2 + f*k - 2/3 = 0.
-1, 1/3
Let f(c) be the second derivative of 0 + 11*c + 1/42*c**4 + 2/7*c**2 + 1/7*c**3. Factor f(o).
2*(o + 1)*(o + 2)/7
Suppose -9 = -2*a + 1. Let k(n) be the third derivative of -1/120*n**6 + 1/3*n**3 + 0 - n**2 + 1/15*n**a + 0*n - 5/24*n**4. Solve k(x) = 0 for x.
1, 2
Let c = 2/531 - -491/10620. Let y(z) be the second derivative of -z**2 - 5/6*z**3 + 5*z - c*z**5 + 0 - 1/3*z**4. Factor y(o).
-(o + 1)**2*(o + 2)
Let r be (-6 - -3) + (3 - (-207)/(-350)). Let w = -1/50 - r. Solve 2/7*q**5 + w - 8/7*q**3 + 6/7*q - 4/7*q**2 + 0*q**4 = 0.
-1, 1, 2
Let a(r) = 3*r**3 + 6*r**2 + 3*r - 5. Let j(s) = 3*s**3 + 7*s**2 + 4*s - 6. Let f = -17 + 12. Let g = 500 - 494. Let u(i) = f*j(i) + g*a(i). Factor u(b).
b*(b + 1)*(3*b - 2)
Let c(j) be the first derivative of -j**4 - 40*j**3/3 + 46*j**2 - 48*j - 85. Find o such that c(o) = 0.
-12, 1
Let h = -11782 + 11785. Let 2*k**2 - 26/3*k**4 - 7/3*k**5 - 13/3*k**h + 0 + 0*k = 0. What is k?
-3, -1, 0, 2/7
Let l(q) be the second derivative of q**4/3 - 250*q**3/3 + 248*q**2 + 2*q + 48. Factor l(d).
4*(d - 124)*(d - 1)
Let u(c) be the third derivative of c**6/108 - 41*c**5/135 + 107*c**4/108 - 10*c**3/9 - 4*c**2 - 7. Solve u(i) = 0 for i.
2/5, 1, 15
Let y(a) be the first derivative of -1 + 5*a + 10/3*a**2 + 5/9*a**3. Suppose y(o) = 0. Calculate o.
-3, -1
Let c = 511/3 + -170. Factor -7/6*w + c*w**4 - 4/3*w**2 - 1/3 + 1/6*w**5 - 1/3*w**3.
(w - 2)*(w + 1)**4/6
Let a(p) be the third derivative of 0 + 0*p - 16/15*p**5 - 3/10*p**6 - 17*p**2 - 5/6*p**4 + 4/3*p**3. Factor a(j).
-4*(j + 1)**2*(9*j - 2)
Let n(f) be the third derivative of f**7/3780 + f**6/540 + f**5/180 + f**4/108 + f**3 + 11*f**2. Let j(l) be the first derivative of n(l). Solve j(v) = 0.
-1
Let s(i) = i**3 + 4*i**2 + 76*i - 4. Let o(g) = -6*g**3 - 15*g**2 - 306*g + 18. Let f(x) = -2*o(x) - 9*s(x). Find l, given that f(l) = 0.
-4, 0, 6
Suppose -3*z = -p + 2, 0 = -z + 3*p - 2*p - 2. Let u be 5/3 + 2 + 0. Determine i so that 4*i**4 + 2/3*i**2 + z + 0*i + u*i**3 = 0.
-2/3, -1/4, 0
Suppose -5*b = -3*b - 12. Let y be (36/20)/(b/20). Find r such that y*r**3 - 2 - 6*r + 0*r - 6*r**2 - 8*r**3 = 0.
-1
Let y(i) be the first derivative of -i**4/10 + 68*i**3/15 - 13*i**2 + 64*i/5 - 586. Let y(d) = 0. What is d?
1, 32
Find u, given that 7*u**4 + 1/2*u**5 + 0 + 29/2*u**3 - 88*u**2 - 96*u = 0.
-8, -1, 0, 3
Let s(d) = -49*d**2 + 41*d**2 - 72*d**2 + 22*d + 14 - 28*d**3. Let h(t) = 28*t**3 + 81*t**2 - 22*t - 15. Let w(y) = -2*h(y) - 3*s(y). Solve w(g) = 0 for g.
-3, -2/7, 1/2
Let p = 267 + -149. Let q = 592/5 - p. Suppose 4/5*i + 0 - q*i**2 = 0. Calculate i.
0, 2
Suppose -3*p + 3*q = 2*q - 8, 12 = 3*p - 3*q. Suppose -8 = 4*j - 28, w + 5*j = 29. Find y such that -2/11*y**w - 16/11*y**p - 8/11*y + 0 - 10/11*y**3 = 0.
-2, -1, 0
Factor 4*q**5 - 87*q + 8*q**3 - 43*q**2 + 24*q**4 + 9*q**2 - 46*q**2 - 21*q - 40.
4*(q - 2)*(q + 1)**3*(q + 5)
Suppose 4*b - 3 = 5. Suppose t + 3*p - 30 = -b*t, -3*t + 20 = 5*p. Factor t - 117*r - 9*r**3 - 4 + 60*r**2 + 43.
-3*(r - 3)**2*(3*r - 2)
Let w(z) be the second derivative of 0 + 0*z**4 + 1/210*z**5 + 1/420*z**6 - 1/2*z**2 + 0*z**3 - 6*z. Let o(p) be the first derivative of w(p). Solve o(u) = 0.
-1, 0
Let p be 1 + -2 - 171/60. Let d = p + 23/5. Factor 3/4*j**2 + d - 3/2*j.
3*(j - 1)**2/4
Suppose 4009*l - 4000*l - 18 = 0. Let 32/11*s - 82/11*s**3 + 2/11*s**l + 8/11 - 10/11*s**4 + 50/11*s**5 = 0. What is s?
-1, -2/5, 1
Let w(b) be the second derivative of 3*b**7/70 + b**6/25 - 3*b**5/100 - 176*b. Determine c, given that w(c) = 0.
-1, 0, 1/3
Let g be ((-1)/((-1)/(-4)))/(3 - 5). Let t be 2*5/30*g. Solve 2/3 + 8/3*q**3 + 4*q**2 + 8/3*q + t*q**4 = 0.
-1
Let j(v) be the third derivative of v**7/5040 - v**6/360 + v**5/60 + 11*v**4/12 + 4*v**2. Let k(z) be the second derivative of j(z). Solve k(f) = 0.
2
Let i = -8 - -20. Factor -4*v - 18 - 3*v**3 - v + i*v**2 + 2*v.
-3*(v - 3)*(v - 2)*(v + 1)
Factor -10/13*g + 2/13*g**2 + 12/13.
2*(g - 3)*(g - 2)/13
Determine g, given that -4*g**3 + 4*g**3 - 7*g**2 + 3*g**2 - 12 + g**3 + 10 + 5*g = 0.
1, 2
Let q be 48/8*-1 - (-11 + 2). Let z(o) be the first derivative of 1/2*o**q - 3/16*o**4 - 3/8*o**2 + 0*o + 9. Factor z(i).
-3*i*(i - 1)**2/4
Solve -287*q**4 - 4*q**5 + 20*q**2 - 16*q + 20*q**3 - 279*q**4 - 16 + 562*q**4 = 0.
-2, -1, 1, 2
Let z(d) be the second derivative of d**6/180 + d**5/18 + 2*d**4/9 + 4*d**3/9 + 11*d**2/2 + 5*d. Let j(q) be the first derivative of z(q). Solve j(m) = 0 for m.
-2, -1
Let y(s) be the second derivative of -25*s**7/168 - 11*s**6/24 - 19*s**5/80 + 23*s**4/48 + s**3/3 - s**2/2 - 62*s. Find d such that y(d) = 0.
-1, 2/5
Let r(x) = -x**2 + x - 1. Let a(d) = 4*d**2 - 21*d + 37. Let v(t) = a(t) + 3*r(t). Let i be v(16). Find n such that 0 - 1/6*n - 1/6*n**i = 0.
-1, 0
Suppose -5*d**4 + 47*d**3 - 40*d**3 - 2*d**2 + 2*d**4 = 0. Calculate d.
0, 1/3, 2
Let j be (-847)/(-363) + (-1)/3. Let 0 - 4/3*g + 1/3*g**3 - g**j = 0. Calculate g.
-1, 0, 4
Let b(u) be the first derivative of u**3/7 + 15*u**2/14 + 18*u/7 - 92. Solve b(y) = 0 for y.
-3, -2
Let v(t) be the second derivative of -1/10*t**6 - 3*t**2 - 3/20*t**5 + 1/2*t**3 + 0 + 3/4*t**4 - 16*t. Factor v(h).
-3*(h - 1)**2*(h + 1)*(h + 2)
Let k(x) be the first derivative of -5*x**6/2 - 47*x**5 + 445*x**4/2 - 370*x**3 + 565*x**2/2 - 95*x + 119. Solve k(f) = 0 for f.
-19, 1/3, 1
Let v(p) be the first derivative of -4*p**5 - 65*p**4/4 - 55*p**3/3 - 5*p**2 + 78. Find b such that v(b) = 0.
-2, -1, -1/4, 0
Let p(c) be the second derivative of c**10/10080 - c**8/2240 - 29*c**4/12 + 16*c. Let k(m) be the third derivative of p(m). What is t in k(t) = 0?
-1, 0, 1
Let o be 514/(-34) + 8/68. Let h be 1/5 - 3/o. Suppose -a**3 - 7/5*a - 1/5*a**4 - 9/5*a**2 - h = 0. What is a?
-2, -1
Let t = -77 + 69. Let x be ((-1)/(2/t))/(-3 + 5). Factor 2/9*b**x + 0 + 0*b.
2*b**2/9
Let q be (-73)/(-146)*4/5. Suppose 0*i + 2/5*i**3 - q*i**5 + 0 - 2/5*i**4 + 2/5*i**2 = 0. What is i?
-1, 0, 1
Let u(x) b