 + 8*l**2 + 54/7*l.
2*l*(l + 1)*(l + 27)/7
Let c(y) be the third derivative of 6*y**2 + 1/6*y**4 - 1/90*y**6 + 0 - 4/3*y**3 + 0*y**5 + 0*y. Let z(h) be the first derivative of c(h). Factor z(d).
-4*(d - 1)*(d + 1)
Suppose 12 - 2 = 5*y. Let f be ((-9)/(-2))/(((-30)/4)/(-5)). Factor -3*r**3 + 7*r**f - y*r**4 + 0*r**2 - 2*r**2.
-2*r**2*(r - 1)**2
Suppose -19*h + 14*h - 25 = 0. Let m = h - -10. Factor -7 + 15*k - 39*k + 57*k**2 - 67*k**3 + 11 - 9*k**m + 39*k**4.
-(k - 1)**3*(3*k - 2)**2
Let a(h) = h + 6. Let n be (-18)/30*(0 - -5). Let b be a(n). Factor 8 + 3*i**2 - 16*i**3 + 12*i**2 + 0 - b*i**2 + 36*i.
-4*(i - 2)*(i + 1)*(4*i + 1)
Factor 8/3*t**3 - 66*t - 50*t**2 - 40/3.
2*(t - 20)*(t + 1)*(4*t + 1)/3
Suppose 3*z + 2*t = 3*t, -4*z = -t. Factor z*n**3 - 8/3*n**2 + 0 - 4/3*n**5 + 4/3*n + 8/3*n**4.
-4*n*(n - 1)**3*(n + 1)/3
Let y = 17 + -14. Determine z so that 13 + 27 - 18*z**5 + 100*z - 12*z**5 - 205*z**y - 30*z**2 - 145*z**4 = 0.
-2, -1, -1/2, 2/3
Let u(f) be the second derivative of f**6/420 - f**5/210 - f**4/42 + 21*f**2/2 - 21*f. Let t(k) be the first derivative of u(k). Factor t(q).
2*q*(q - 2)*(q + 1)/7
Let z(g) be the third derivative of -g**6/24 + g**5/2 - 15*g**4/8 + 31*g**2 - 10. Factor z(p).
-5*p*(p - 3)**2
Let l(d) be the first derivative of -4*d**4/5 + 34*d**3/15 - 2*d**2/5 + 45. Factor l(i).
-2*i*(i - 2)*(8*i - 1)/5
Let r(w) be the second derivative of -w - 6*w**2 + 8/3*w**3 - 1/3*w**4 + 0. Find p, given that r(p) = 0.
1, 3
Let h(t) = t + 19. Let k be h(-17). Let a(z) be the second derivative of 5*z + z**k - 1/12*z**4 - 1/6*z**3 + 0. Determine w, given that a(w) = 0.
-2, 1
Let x(h) be the third derivative of h**5/20 - 155*h**4/4 + 24025*h**3/2 + 429*h**2. Solve x(v) = 0 for v.
155
Suppose 399 = 14*y + 343. Factor 7/5*d**3 - 10 + 3/5*d**2 - 11*d - 1/5*d**y.
-(d - 5)**2*(d + 1)*(d + 2)/5
Let o(f) be the second derivative of f**5/12 + 5*f**4/24 - 11*f**2/2 - 2*f. Let d(a) be the first derivative of o(a). Find g such that d(g) = 0.
-1, 0
Let c(t) be the second derivative of -1/6*t**4 + 2*t**2 - 1/3*t**3 + 0 - 20*t. Find n such that c(n) = 0.
-2, 1
Let r = 923 - 3677/4. Let m(z) be the first derivative of r*z**2 - 2 + 9/2*z + 7/6*z**3 + 1/8*z**4. Find d, given that m(d) = 0.
-3, -1
Let p(m) be the first derivative of m**4 - 16*m**3/3 - 10*m**2 - 136. Suppose p(a) = 0. What is a?
-1, 0, 5
Suppose 0 = 12*r + 2*r - 42. Let d(p) be the first derivative of 2/5*p - 3/5*p**2 + 1 - 1/10*p**4 + 2/5*p**r. Factor d(f).
-2*(f - 1)**3/5
Let n(b) = -b**4 - 20*b**3 + 19*b**2 - 16*b - 6. Let j(u) = -5*u**4 - 80*u**3 + 75*u**2 - 65*u - 25. Let f(q) = -6*j(q) + 25*n(q). Factor f(g).
5*g*(g - 2)*(g - 1)**2
Let y be 406/35 - 6/10. Let x be 2/10 - y/55. Determine r, given that -r**2 - 15*r**3 + 0 - 5*r**4 + 10*r**5 + x + 5*r + 6*r**2 = 0.
-1, -1/2, 0, 1
Let k(w) = -4*w**2 + w - 5. Let i(f) be the first derivative of 2*f**3 - f**2 + 8*f - 17. Let q(a) = 5*i(a) + 8*k(a). Let q(p) = 0. Calculate p.
-1, 0
Let w be (-198)/45 + 4 + 28/45. Factor -4/9*r**4 + 0*r**2 + w*r**5 + 0*r + 0 + 2/9*r**3.
2*r**3*(r - 1)**2/9
Factor 105/4*a + 36 + 1/4*a**3 + 11/2*a**2.
(a + 3)**2*(a + 16)/4
Let m(d) = -d**3 + 2*d - 6. Let b be m(5). Let x = -241/2 - b. Factor -1/3 + 1/3*g**2 - 1/6*g**5 + 0*g**4 + 2/3*g**3 - x*g.
-(g - 2)*(g - 1)*(g + 1)**3/6
Find b such that 5/3*b + 7/3*b**3 + 0 + 11/3*b**2 + 1/3*b**4 = 0.
-5, -1, 0
Let p(s) be the first derivative of s**5/25 + s**4/15 - 17*s - 18. Let h(r) be the first derivative of p(r). Factor h(u).
4*u**2*(u + 1)/5
Let z(a) be the first derivative of -a**4/10 - 2*a**3/5 - 3*a**2/5 - 2*a/5 + 12. Factor z(g).
-2*(g + 1)**3/5
Let y(b) be the first derivative of -b**4/9 - 104*b**3/27 + 58*b**2/9 + 24*b + 382. Factor y(v).
-4*(v - 2)*(v + 1)*(v + 27)/9
Let f(q) = q**2 + q - 1. Let i(r) = -5 + 10*r**2 + 1 - 1. Let y(o) = 5*f(o) - i(o). Determine p, given that y(p) = 0.
0, 1
Let x(b) = 3*b**3 + 6*b**2 + 7*b + 4. Let j(w) = 25*w**3 + 49*w**2 + 57*w + 33. Let i(l) = 6*j(l) - 51*x(l). Factor i(g).
-3*(g + 1)**2*(g + 2)
Let r(d) be the third derivative of -d**7/630 + d**6/30 - 4*d**5/15 - 25*d**4/24 - 34*d**2. Let m(s) be the second derivative of r(s). Factor m(n).
-4*(n - 4)*(n - 2)
Let f(x) = x**2 + x + 6. Let u be f(0). Factor -4*w - 44*w**2 + 32*w**2 - u*w**4 + 0*w**3 - 13*w**3 - w**5.
-w*(w + 1)**2*(w + 2)**2
Let a(q) = 2*q**2 - q + 3. Let d(o) = -o**3 - o**2 - 1. Let n(t) = a(t) + 3*d(t). Let c be n(-1). Solve k + c*k**2 + 4*k + 4*k - 3*k = 0 for k.
-2, 0
Let -10*u + 1/2*u**5 + 9/2*u**3 - 11*u**2 + 12 + 4*u**4 = 0. What is u?
-6, -2, 1
Let w be -215*72/(-10200) + 14/(-10). Solve -w*s**3 - 10/17*s**2 - 8/17*s + 0 = 0.
-4, -1, 0
Let n(t) be the first derivative of -t**6/30 + 8*t**5/15 - 8*t**4/3 + 3*t**2/2 - 19. Let y(k) be the second derivative of n(k). Factor y(s).
-4*s*(s - 4)**2
Let n(x) be the third derivative of 0*x**3 + 10*x**2 - 1/4*x**4 + 0*x - 1/20*x**5 + 0. Factor n(y).
-3*y*(y + 2)
Let f(b) be the third derivative of -b**7/350 + 29*b**6/200 + 61*b**5/100 + 31*b**4/40 + 228*b**2. Factor f(o).
-3*o*(o - 31)*(o + 1)**2/5
Let r = 254 + -247. Let m(b) be the second derivative of 0*b**2 + 0*b**6 + 0*b**4 + b + 0 - 1/2*b**3 - 1/14*b**r + 3/10*b**5. Factor m(w).
-3*w*(w - 1)**2*(w + 1)**2
Factor 5*g**2 + 4*g - 1824*g**3 - 7 + 1823*g**3 - 13.
-(g - 5)*(g - 2)*(g + 2)
Let z(m) be the first derivative of -4*m**3 - 9 + 3/2*m**2 + 18*m + 3/4*m**4. Determine l so that z(l) = 0.
-1, 2, 3
Let j(d) = -d**2 - 4*d. Let a = -8 - -5. Let v be j(a). Solve -36*s**4 - 21*s**5 - 5 + 9*s + 42*s**2 + 2*s**3 - 1 + 10*s**v = 0 for s.
-1, 2/7, 1
Suppose 6*u = 7*u - 3. What is s in -3*s**4 - s**3 + 3*s**3 + 8*s**4 - 5*s - 5*s**2 + u*s**3 = 0?
-1, 0, 1
Let p(q) be the first derivative of -1/26*q**4 - 6/13*q**2 + 0*q + 55 - 10/39*q**3. Factor p(o).
-2*o*(o + 2)*(o + 3)/13
Let y(i) be the first derivative of -2*i**3 + 0*i - 15/4*i**4 + 16 - 12/5*i**5 + 0*i**2 - 1/2*i**6. Let y(c) = 0. What is c?
-2, -1, 0
Determine j so that 0 - 10/11*j**4 + 2/11*j**5 - 16/11*j + 8/11*j**2 + 12/11*j**3 = 0.
-1, 0, 2
Let t(b) = -b - 5. Let w be t(-9). Suppose 0*c**3 - 49*c**2 - 6 + 9*c**4 + 21*c + 46*c**2 - w*c**3 - 17*c**3 = 0. Calculate c.
-1, 1/3, 1, 2
Factor -30*d + 25 + d**2 - 8*d**2 + 12*d**2.
5*(d - 5)*(d - 1)
Let z(g) = 3*g - 17. Let t be z(5). Let d = t - -4. Factor 1/3*m**d - 1/6*m + 0 - 1/6*m**3.
-m*(m - 1)**2/6
Suppose 0 = -2*w - 3*w. Factor w + 3/2*h**4 - 1/4*h**2 - 3/8*h**3 + 0*h - 7/8*h**5.
-h**2*(h - 1)**2*(7*h + 2)/8
Suppose s - 9 = 1. Determine v so that 9*v + 0*v + s*v**4 - 22*v**2 + 3*v - 2*v**3 - 22*v**3 = 0.
-1, 0, 2/5, 3
Let v = -31 - -49. Determine d so that 2 + 4*d**2 - v*d + 6*d + 9 - 3 = 0.
1, 2
Let b(c) be the second derivative of 0*c**2 + 0 - 31*c + 1/20*c**4 - 1/5*c**3. Factor b(q).
3*q*(q - 2)/5
Let h(o) be the first derivative of o**3/6 - o**2/4 - o - 102. Factor h(x).
(x - 2)*(x + 1)/2
Let i(o) = -6*o**3 + 4*o**2 + 2*o - 2. Let u(k) = -k**4 - 6*k**3 + 4*k**2 + 3*k - 3. Let q = 2 + 1. Let f(c) = q*i(c) - 2*u(c). Factor f(t).
2*t**2*(t - 2)*(t - 1)
Let n be ((-16)/(-24))/(1/6*2). Factor 93*y**2 - 10*y - 42*y**n - 46*y**2.
5*y*(y - 2)
Suppose 5 + 11 = 4*m, d + 11 = 2*m. Let k = -1 - d. Factor -v**k + v**2 + 18 + 24*v + 18 + 4*v**2.
4*(v + 3)**2
Let i(a) be the second derivative of 0*a**2 + 4 + 2/9*a**3 - 1/18*a**4 + 9*a. Factor i(s).
-2*s*(s - 2)/3
Suppose 3*b + 4*i + 29 = 100, b - 4*i + 3 = 0. Factor 0*m + 5*m + b*m**2 + 20*m**4 + 8*m**5 - 3*m**5 + 30*m**3 + 3*m**2.
5*m*(m + 1)**4
Let h = -7 + 12. Suppose -2 - 8 = -h*p. Factor 3*u - 4*u**2 - p*u**3 - 5*u + u - u.
-2*u*(u + 1)**2
Let s(m) be the first derivative of -m**6/120 + 7*m**5/60 - m**4/3 - 8*m**3/3 - 7*m**2 + 13. Let k(u) be the second derivative of s(u). Factor k(c).
-(c - 4)**2*(c + 1)
Factor 512 + 35*w**2 - 756*w + 60*w**3 - 21*w**2 + 2*w**4 + 372*w**2 - 204*w.
2*(w - 1)**2*(w + 16)**2
Factor 12/5*g**3 - 2/5*g**4 + 4*g - 6/5 - 24/5*g**2.
-2*(g - 3)*(g - 1)**3/5
Factor -5/3*z**3 - 25/3*z**2 + 60*z + 0.
-5*z*(z - 4)*(z + 9)/3
Let y(b) be the third derivative of 2/3*b**3 + 0*b - 1/6*b**4 - 1/60*b**5 + 0 - 7*b**2 + 1/120*b**6. Factor y(g).
(g - 2)*(g - 1)*(g + 2)
Suppose -p + 0*p = 0. Let g be (517/(-55) - -10)/((-27)/(-15)). Factor -1/3*w - g*w**4 - w**3 + p - w**2.
-w*(w + 1)**3/3
Let s be 4