of c**6/1440 + c**5/60 - 3*c**4/32 + 3*c**3 - 26*c**2. Let f(a) be the first derivative of g(a). Factor f(d).
(d - 1)*(d + 9)/4
Let h(q) = 2*q - 1. Let w be h(-1). Let u be (6/45 - w/15)*6. Factor 1/4*p**u - 1/2*p + 1/4.
(p - 1)**2/4
Let r = 3 + -11. Let z = r + 10. Factor 0 - 2*w**z + 8 - 23*w + 2*w - 3*w + 30*w**3.
2*(w + 1)*(3*w - 2)*(5*w - 2)
Let r(t) be the third derivative of -5/112*t**8 + 1/6*t**5 - 3*t - 4*t**2 + 0 + 0*t**3 + 0*t**4 - 1/21*t**7 + 1/8*t**6. Solve r(u) = 0 for u.
-1, -2/3, 0, 1
Let t(z) be the third derivative of z**6/40 + z**5/5 + 5*z**4/8 + z**3 + 11*z**2. Factor t(r).
3*(r + 1)**2*(r + 2)
Let q be (8/6 + 53/(-33))*(-14)/21. Factor 0 - q*d**3 - 200/11*d + 40/11*d**2.
-2*d*(d - 10)**2/11
Let p = -94/267 + 150/89. Suppose -p*r**2 - 8*r + 0 = 0. What is r?
-6, 0
Let h be (-1*24)/((-6)/(-21)). Let d be (-14)/h - 11/(-6). Factor -5*z + 4*z**3 - z - 1 - 3*z + 5*z - 2*z**d + 3*z**4.
(z - 1)*(z + 1)**2*(3*z + 1)
Let o = -29 + 47. Factor -82*l**2 + o*l**3 - 20*l**3 + 48*l + 32*l**3 - 8.
2*(l - 2)*(3*l - 1)*(5*l - 2)
Suppose 37*m = 33*m + 400. Solve -203 - 4*g**4 - m*g**2 + 16*g**3 + 108*g + 20*g**3 + 163 = 0 for g.
1, 2, 5
Suppose -1 = 3*s - 7. Factor r**3 - 3*r**3 - 7*r**5 - 2*r**4 + 9*r**5 + s*r**2.
2*r**2*(r - 1)**2*(r + 1)
Let k be (-1)/(-26)*4 + (-411)/2925. Let h(j) be the second derivative of 0 + 4*j + 0*j**3 - 1/30*j**4 + 0*j**2 + 0*j**5 + k*j**6. Factor h(l).
2*l**2*(l - 1)*(l + 1)/5
Let l = 125 + -120. Let c(j) be the third derivative of 0*j + 1/315*j**7 + 1/90*j**l + 0 + 1/90*j**6 - 5*j**2 + 0*j**4 + 0*j**3. Factor c(m).
2*m**2*(m + 1)**2/3
Find o, given that -123*o - 661 - 89*o**2 - 3*o**3 + 919 - 43*o**2 = 0.
-43, -2, 1
Let o(q) be the second derivative of q**5/5 + 7*q**4/3 - 20*q**3/3 - 32*q**2 + 4*q - 27. Factor o(h).
4*(h - 2)*(h + 1)*(h + 8)
Suppose -4*c + 4*z = 4, 23 = 4*c + 4*z + 3. Factor -6*g**4 - 2 + 3*g**c + 2*g**4 + 7*g - 10*g + 7*g**3 + 7*g**4.
(g + 1)**3*(3*g - 2)
Let x = -7907 - -7910. Factor -5/6*b**x - 17/6*b**2 - 8/3*b - 2/3.
-(b + 1)*(b + 2)*(5*b + 2)/6
Determine y so that -4/7*y**2 + 32/7 + 8/7*y = 0.
-2, 4
Let j(c) be the third derivative of -c**6/15 + 11*c**5/30 - c**4/2 - 241*c**2. Find u, given that j(u) = 0.
0, 3/4, 2
Let n(j) be the third derivative of -j**5/3 - j**4/3 - 3*j**2 + 27*j. Solve n(k) = 0 for k.
-2/5, 0
Factor -6 - 9/2*a + 3/4*a**3 + 9/4*a**2.
3*(a - 2)*(a + 1)*(a + 4)/4
Let o(a) be the third derivative of 0*a**3 + 0 - 1/360*a**6 - 1/72*a**4 - 8*a**2 + 0*a - 1/90*a**5. Factor o(h).
-h*(h + 1)**2/3
Determine s so that 46/5 - 21/5*s - 1/5*s**2 = 0.
-23, 2
Let q be -3*4/(-90)*13/(26/6). Factor 0 + q*t**4 + 0*t**2 + 0*t + 0*t**3.
2*t**4/5
Let c = 35 - 55. Let x be ((-15)/(-8))/((-30)/c). Factor 1/2 - 1/2*z**2 - x*z**3 + 5/4*z.
-(z - 1)*(z + 1)*(5*z + 2)/4
Let p(c) be the first derivative of 3/2*c**2 + 13/12*c**3 + 3/8*c**4 + c + 1/20*c**5 - 19. Suppose p(f) = 0. What is f?
-2, -1
Let z be (-72)/352*16/6 + 752/88. Let -2/3*t**2 + z*t - 24 = 0. Calculate t.
6
Let c(v) be the third derivative of 0*v - 1/2*v**4 + 0 - 1/40*v**6 + 0*v**3 - 11*v**2 + 1/5*v**5. Factor c(m).
-3*m*(m - 2)**2
Let k(v) be the second derivative of 1/30*v**6 - 4/3*v**3 + 0*v**2 + 6*v + v**4 - 3/10*v**5 + 0. Factor k(h).
h*(h - 2)**3
Let m be (-14)/105 - 231/(-45). Let a**2 - 66*a**3 + 11*a**5 - 39*a**m + 96*a**3 - a**4 - 2*a = 0. Calculate a.
-1, -2/7, 0, 1/4, 1
Let u(b) = 11*b**2 - 6*b - 20. Let i(y) = y**2 - y + 1. Let h(k) = 3*i(k) - u(k). Let z(q) = q**2 - q - 1. Let s(o) = -h(o) - 3*z(o). Find c such that s(c) = 0.
-2, 2
Factor -1215*i**2 - 12/5 + 108*i.
-3*(45*i - 2)**2/5
Suppose -2/15*t**3 + 4/15*t + 2/15*t**2 + 0 = 0. What is t?
-1, 0, 2
Let n = -400 + 2008/5. Suppose n + 2/5*g**2 + 8/5*g = 0. Calculate g.
-2
Let r = 11037/10087 - 3/917. Factor -8/11*q + r*q**2 - 16/11 + 10/11*q**3 + 2/11*q**4.
2*(q - 1)*(q + 2)**3/11
Let f(h) = -h**2 - 7*h - 4. Let m be f(-6). Factor -48 + 52*z**2 + 12*z**3 - z**5 - 2*z**5 - 9*z**4 - 4*z**m + 0*z**5.
-3*(z - 2)*(z - 1)*(z + 2)**3
Suppose x = -4*x + 20. Determine y, given that 16*y**2 + 4*y - 16*y - 7*y**2 + 12*y**3 - 12 + 3*y**x = 0.
-2, -1, 1
Let x be (-9 + 12 - 15)/(-1 - 2). Factor 35/4*w**3 + 11/2*w**2 + 25/8*w**x + w + 0.
w*(w + 2)*(5*w + 2)**2/8
Let o be 6*6/9 + -4. Let c = o + 3. Factor 12*k**3 - 12 - 3*k**5 + c*k**4 + 12 - 24*k**2 + 3*k**4.
-3*k**2*(k - 2)**2*(k + 2)
Let x = 65 + -41. Suppose -9 - x*y + 30*y - 18*y - 3*y**2 = 0. Calculate y.
-3, -1
Let m(l) be the first derivative of l**6/6 - l**5/5 - 15*l**4/4 - 23*l**3/3 - 5*l**2 - 57. Factor m(v).
v*(v - 5)*(v + 1)**2*(v + 2)
Let j(n) be the third derivative of -n**5/420 - n**4/28 + 36*n**2. Let j(b) = 0. Calculate b.
-6, 0
Suppose 16 = -2*u - 4*d, 3*u + 5*d = 17 - 36. Factor -2*v**3 + 12/7 - 26/7*v - 52/7*v**u.
-2*(v + 1)*(v + 3)*(7*v - 2)/7
Let h be (288/(-27))/(-16) - 0. Factor -2/3*z**3 + 0 - h*z**2 + 4/3*z.
-2*z*(z - 1)*(z + 2)/3
Let m(j) be the third derivative of -1/1176*j**8 + 0*j**4 + 0*j**3 - 1/140*j**6 + 0 - 21*j**2 - 1/245*j**7 + 0*j - 1/210*j**5. Factor m(w).
-2*w**2*(w + 1)**3/7
Let g(d) be the second derivative of d**7/168 - d**6/20 - 23*d**5/40 - 23*d**4/12 - 25*d**3/8 - 11*d**2/4 - 279*d. Let g(f) = 0. What is f?
-2, -1, 11
Let y = -40/1319 + 16028/6595. Factor y + 46/5*o - 8/5*o**2.
-2*(o - 6)*(4*o + 1)/5
Let l(v) be the second derivative of 1/9*v**3 - 1/36*v**4 + 0 - 3/5*v**5 - 1/2*v**6 - v + 0*v**2. Find f such that l(f) = 0.
-2/3, -1/3, 0, 1/5
Let i = 10 + -8. Let c be 2*i/4 + 2. Let 3*p**2 + 0*p**c - 8*p**2 + 3*p**3 - p**2 = 0. Calculate p.
0, 2
Let c = -6853 - -13707/2. Determine g so that c*g**2 - g - 3/2 = 0.
-1, 3
Let c(u) = -5*u**3 - 29*u**2 + 21*u. Let r(k) be the first derivative of -k**4/4 - 7*k**3/3 + 5*k**2/2 + 10. Let j(l) = -6*c(l) + 26*r(l). Factor j(t).
4*t*(t - 1)**2
Let -2*r**3 + 7/3*r - 7/3*r**4 - 5 - 1/3*r**5 + 22/3*r**2 = 0. Calculate r.
-5, -3, -1, 1
Suppose 0 = 5*m + 2*n - 13, 2*m - 2*n = 4*m - 4. Suppose 2*u + 3*i = 12, -1 = 5*u - m*i + 11. Find h such that u - 4/5*h - 2/5*h**2 = 0.
-2, 0
Let v(c) be the third derivative of c**6/180 - c**5/45 - c**4/9 + 8*c**3/9 + 12*c**2. Let v(a) = 0. What is a?
-2, 2
Factor 36/19 - 8/19*k**2 - 6/19*k + 2/19*k**3.
2*(k - 3)**2*(k + 2)/19
Let h = 2/10671 - -28454/10671. Factor -14/3*z**2 + 40/3*z - 6*z**3 - h.
-2*(z - 1)*(z + 2)*(9*z - 2)/3
Let i be -6*(36/6 + -7). Let b(q) be the second derivative of 0*q**4 + 0 + 0*q**2 - 1/50*q**5 + 4*q + 0*q**3 + 2/75*q**i. Factor b(u).
2*u**3*(2*u - 1)/5
Let m(a) be the first derivative of a**6/6 - a**5/2 + 5*a**4/12 + 25*a - 3. Let p(g) be the first derivative of m(g). Determine v so that p(v) = 0.
0, 1
Let z(f) = -f**3 + 7*f**2 + 18*f - 1. Let o be z(9). Let c be o/(-4 + -10)*4. Determine d so that -4/7 - 8/7*d**2 + 10/7*d + c*d**3 = 0.
1, 2
Suppose 4 = b, 5*b = 2*y + b + 34. Let l be y/264*2 + 2/8. Factor 2/11*n**2 - l*n**4 - 2/11*n**5 + 2/11*n**3 + 0 + 0*n.
-2*n**2*(n - 1)*(n + 1)**2/11
Factor -14/3*n**2 + 2/3*n**3 + 2/3*n**4 - 26/3*n - 4.
2*(n - 3)*(n + 1)**2*(n + 2)/3
Suppose 106*w - 116*w = 0. Solve 0*r**2 - 2/7*r**3 + w + 2/7*r = 0 for r.
-1, 0, 1
Let v(s) be the second derivative of s**4/28 + 17*s**3/7 + 99*s**2/14 + s - 155. Suppose v(o) = 0. Calculate o.
-33, -1
Factor 20/7*i**2 - 4/7*i**4 + 0 + 12/7*i + 4/7*i**3.
-4*i*(i - 3)*(i + 1)**2/7
Let w(h) be the third derivative of -2/15*h**3 - 1/525*h**7 - 10*h**2 + 0*h + 1/50*h**5 + 0 - 1/300*h**6 + 1/60*h**4. Find j such that w(j) = 0.
-2, -1, 1
Let k be (-4 - (-11)/3)*0. Suppose n = -2*b + 1, -5*b + 3*n = -k*b - 19. Suppose 4/7*r**b - 2/7*r**5 - 2/7 - 2/7*r - 2/7*r**4 + 4/7*r**3 = 0. Calculate r.
-1, 1
Let l(u) be the third derivative of -14*u**2 - 1/840*u**7 + 0*u + 1/12*u**3 + 0 + 1/480*u**6 - 5/96*u**4 + 1/80*u**5. Factor l(c).
-(c - 1)**3*(c + 2)/4
Let a(v) be the first derivative of 2/15*v**3 - 26 + 0*v - 1/10*v**2 - 1/20*v**4. Factor a(k).
-k*(k - 1)**2/5
Factor 8/5*x**2 - 16/5*x + 4/5*x**3 - 32/5.
4*(x - 2)*(x + 2)**2/5
Let t(x) be the first derivative of 17*x**3/2 - 201*x**2/2 - 24*x + 111. Determine g so that t(g) = 0.
-2/17, 8
Let y(s) be the second derivative of -s**5/190 - 5*s**4/114 - 2*s**3/19 + 231*s. Solve y(p) = 0.
-3, -2, 0
Find i such that 0 + 20*i**2 + 2/3*i**3 + 0*i = 0.
-30, 0
Determine w, given that -25*w**3 - 