(a). Factor o(g).
2*(g - 3)**3/7
Find z, given that -4/3*z**2 - 22/3*z + 8 + 2/3*z**3 = 0.
-3, 1, 4
Let l be (105/(-81))/((-9)/3051). Let w = l - 439. Let 2/9*k**2 + 2/9 - w*k = 0. What is k?
1
Let z be ((-8)/10)/2*20/(-2). Let w be (-2 - (-14)/z)/(10/4). Determine x, given that w*x**2 + 0 + 2/5*x + 1/5*x**3 = 0.
-2, -1, 0
Let i(q) be the second derivative of q**6/285 - 4*q**5/95 + 8*q**4/57 - 3*q + 4. Factor i(v).
2*v**2*(v - 4)**2/19
Let g be -2*(66/39 + (13 - 15)). Let k(a) be the first derivative of 3 + 0*a**2 + 2/39*a**3 - g*a. Find o such that k(o) = 0.
-2, 2
Let o be 174/145*(-15)/(-9). Let r(w) be the third derivative of 0 - 1/16*w**6 + 0*w - 1/16*w**4 + 0*w**3 + 3*w**o + 3/20*w**5. Factor r(k).
-3*k*(k - 1)*(5*k - 1)/2
Suppose -92*l + 56/5 + 270*l**2 + 125*l**4 - 325*l**3 = 0. What is l?
2/5, 7/5
Let c = -97 + 112. What is o in -3 - 57 + 118*o + c*o**2 - 38*o = 0?
-6, 2/3
Let h(a) = 2*a**4 - 12*a**3 + 4*a**2 - 3*a. Let q(b) = -5*b**4 + 26*b**3 - 7*b**2 + 7*b. Let m(r) = -14*h(r) - 6*q(r). Solve m(c) = 0.
-7, 0, 1
Factor 1/4*y**2 + 47/2*y + 93/4.
(y + 1)*(y + 93)/4
Let b(z) be the second derivative of z**8/20160 + z**7/1890 + z**6/432 + z**5/180 - z**4 + 3*z. Let n(l) be the third derivative of b(l). Factor n(c).
(c + 1)**2*(c + 2)/3
Let h(m) = -m**2 + 5*m + 4. Let j be h(6). Let o be (11 - -1)*j/(-2). Factor -40 + 32 + 0*c - 6*c**2 - o*c - c**3.
-(c + 2)**3
Let q = -28 - -44. Suppose 0 = 2*i + 3*n - 4*n + 1, q = 3*i + 2*n. Determine v, given that 3*v**3 - 21*v**i - 3*v - 6 + 0*v + 27*v**2 = 0.
-2, -1, 1
Let x(l) = l**2 + 28*l - 29. Let f be x(-29). Let q(r) be the second derivative of 1/30*r**5 - 1/9*r**4 + 0*r**2 - 5*r + f + 1/9*r**3. Factor q(j).
2*j*(j - 1)**2/3
Let n(l) = l**2. Let m(a) = -3*a - 36. Let o be m(-14). Let h(s) = -3*s**2. Let j = 3 - 0. Let c(f) = j*h(f) + o*n(f). Determine x, given that c(x) = 0.
0
Let x(b) be the first derivative of -5*b**3 + 25/2*b**2 + 1 + 20*b - 25/4*b**4 - b**5. Factor x(u).
-5*(u - 1)*(u + 1)**2*(u + 4)
Let y(b) be the second derivative of b**4/60 + 4*b**3/3 + 40*b**2 - b + 5. Find r such that y(r) = 0.
-20
Suppose 0 = -6*z + 66 + 54. Suppose 3*n - 6*n - 3*l + 54 = 0, -3*l + 74 = 4*n. Factor -12*q**3 + z*q**2 + 3*q**3 + 4*q**3 - n*q.
-5*q*(q - 2)**2
Let r(l) be the first derivative of -l**6/20 - 3*l**5/10 - 5*l**4/8 - l**3/2 + 41*l - 25. Let s(f) be the first derivative of r(f). Solve s(n) = 0 for n.
-2, -1, 0
Let l be 4 - (0/2)/2. Let o(c) be the second derivative of 0 - 1/27*c**l - 10*c - 1/27*c**3 + 2/9*c**2 + 1/90*c**5. Factor o(j).
2*(j - 2)*(j - 1)*(j + 1)/9
Let s be (-5)/20 - 21/(-4). Suppose -s*p + 40 = -2*q, 4*p + q - 32 = -3*q. Suppose p + o**2 - 7 - 2*o**2 = 0. Calculate o.
-1, 1
Let d(y) = 6*y**2 + 8*y**2 + 6*y**2 - 21*y**2 - 55 - 16*y. Let r be d(-10). Factor -z**2 - 1/2*z**3 + z**4 + 0 + 1/2*z**r + 0*z.
z**2*(z - 1)*(z + 1)*(z + 2)/2
Let c(w) be the second derivative of w**8/3360 - w**6/90 - w**4/3 + 3*w. Let i(b) be the third derivative of c(b). Factor i(q).
2*q*(q - 2)*(q + 2)
Let d be (-11)/(-3) - 10/15. What is k in -3*k**2 - 340*k + d*k**4 - 344*k + 684*k = 0?
-1, 0, 1
Let q = -205 - -116. Let a = 91 + q. Determine b, given that -1/5*b**3 + 1/5*b**a - 1/5*b**4 + 1/5*b + 0 = 0.
-1, 0, 1
Let f(y) = y + 8. Let v be f(-10). Let z = v + -2. Let m(k) = -8*k**2 + 15*k - 1. Let h(n) = -8*n**2 + 14*n. Let g(c) = z*m(c) + 3*h(c). Factor g(i).
2*(i - 2)*(4*i - 1)
Let w = -8087/9 - -899. Let k(q) be the third derivative of 0*q - w*q**3 - 1/90*q**5 + 0 + 1/9*q**4 + 5*q**2. Suppose k(t) = 0. What is t?
2
Let p(d) be the second derivative of -d**7/5040 - d**6/80 - 27*d**5/80 + 9*d**4/4 - 44*d. Let u(l) be the third derivative of p(l). Factor u(g).
-(g + 9)**2/2
Let s(c) = -4*c**4 - 53*c**3 - 68*c**2 - 19*c. Let l(d) = -d**4 - 2*d**3 - 2*d**2 - d. Let n(q) = 6*l(q) + s(q). Let n(a) = 0. Calculate a.
-5, -1, -1/2, 0
Let n be 259/(7 - (2 + 4)). Let y = -773/3 + n. Suppose 2/3*x**2 - y*x**3 + 0 + 0*x = 0. What is x?
0, 1/2
Let j(c) be the second derivative of c**7/840 + 31*c**6/720 + c**5/12 + c**4/3 + 39*c. Let q(k) be the third derivative of j(k). Solve q(g) = 0.
-10, -1/3
Let f(b) = -b**2 + b + 2. Let l(u) = -45*u**2 + 1340*u - 375. Let v(r) = -30*f(r) + l(r). Factor v(k).
-5*(k - 87)*(3*k - 1)
Suppose 950*w = 971*w. Factor w*o**2 + 0 + 0*o + 0*o**3 - 2/7*o**5 + 2/7*o**4.
-2*o**4*(o - 1)/7
Suppose 5*o = -2 + 12. Suppose -5*u = c - o, -2*u - 29 - 23 = -4*c. Factor -8*d**2 + 4*d**5 - 3 + 9 + c*d + 2 - 16*d**3.
4*(d - 2)*(d - 1)*(d + 1)**3
Let w(v) = 2*v**3 + 20*v**2 + 11*v. Let z(o) = -o**3 - 13*o**2 - 7*o. Suppose -16 = -7*f + 19. Let i(k) = f*w(k) + 7*z(k). Find s, given that i(s) = 0.
-2, -1, 0
Let t(l) be the third derivative of 1/40*l**5 + 0*l + 2*l**3 + 0 - 39*l**2 - 3/8*l**4. Factor t(p).
3*(p - 4)*(p - 2)/2
Let o(m) = -11*m**4 - 17*m**3 + 11*m**2 + 2*m + 5. Let d(g) = 5*g**4 + 8*g**3 - 5*g**2 - 2*g - 2. Let j(t) = -5*d(t) - 2*o(t). Factor j(s).
-3*s*(s - 1)*(s + 1)*(s + 2)
Let w(m) be the second derivative of 5*m + 1/450*m**5 + 0 + 7/2*m**2 + 0*m**3 + 1/90*m**4. Let p(g) be the first derivative of w(g). Factor p(k).
2*k*(k + 2)/15
Let o(v) be the second derivative of v**5/30 + v**4/6 + v**3/3 - v**2/2 + 14*v. Let y(z) be the first derivative of o(z). Factor y(h).
2*(h + 1)**2
Let i(l) be the third derivative of l**7/105 - 19*l**6/60 + 33*l**5/10 - 27*l**4/4 - 50*l**2. Factor i(u).
2*u*(u - 9)**2*(u - 1)
Let i(b) be the first derivative of 0*b**2 + 0*b + 5 + 8/3*b**3 - b**4. Find z such that i(z) = 0.
0, 2
Let x(q) be the second derivative of -q**6/15 + 2*q**5/5 + 41*q**4/3 - 364*q**3/3 - 441*q**2 + 3*q - 5. What is f in x(f) = 0?
-9, -1, 7
Let c(h) be the first derivative of h**5/120 - h**4/48 - h**3/6 - 9*h**2/2 - 7. Let a(y) be the second derivative of c(y). Factor a(u).
(u - 2)*(u + 1)/2
Let u be 0 + (3/4)/((-20)/(-1600)). Let r be 50/u*6/10. Factor 1/4 + 1/4*o**4 + 1/4*o - 1/2*o**2 - r*o**3 + 1/4*o**5.
(o - 1)**2*(o + 1)**3/4
Suppose -i**2 + i**2 + 5*i**4 + 6*i**3 - 75*i - 85*i + 24*i**3 = 0. Calculate i.
-4, 0, 2
Factor -2/11*f**2 + 18/11*f + 20/11.
-2*(f - 10)*(f + 1)/11
Let h(z) = z**4 + z**3 - z**2 + 1. Let n(q) = 2*q**5 + q**4 - 19*q**3 + 55*q**2 - 52*q + 19. Let b(l) = 3*h(l) - n(l). Solve b(d) = 0 for d.
-4, 1, 2
Let u be 612/714 - 16/(-7) - (-6)/(-2). Factor 1/7*h**2 - u*h + 1/7*h**3 - 1/7.
(h - 1)*(h + 1)**2/7
Let l(g) be the first derivative of -13 - 6*g + 4*g**2 - 2/3*g**3. Determine w, given that l(w) = 0.
1, 3
Let x(r) be the first derivative of 24/7*r**2 - 3/35*r**5 - 3/4*r**4 - 8/7*r**3 - 3 + 0*r. Let x(m) = 0. Calculate m.
-4, 0, 1
Factor -117/2*i**2 - 3/8*i**4 + 33/4*i**3 + 135*i + 0.
-3*i*(i - 10)*(i - 6)**2/8
Factor 4*i**4 - 100*i + 3*i**2 + 27*i**2 + 36*i**3 + 7*i**2 + 23*i**2.
4*i*(i - 1)*(i + 5)**2
Let d be 36/66*66/18. Let o(l) be the first derivative of 1/5*l**d + 4/5*l - 2/15*l**3 + 8. What is w in o(w) = 0?
-1, 2
Let q(w) = -w**3 - 13*w**2 - 13*w + 3. Let o be q(-12). Factor -5*b**5 + 20*b**3 - o*b - 10*b**2 + 10 - 6*b + 6*b.
-5*(b - 1)**3*(b + 1)*(b + 2)
Find f such that -1/2*f**2 - 17/2*f + 0 = 0.
-17, 0
Let s be -1 + (15 - (-8 - -17)). Let z(v) be the second derivative of -9/80*v**s + 3/16*v**4 + 8*v + 0 + 1/40*v**6 - 1/8*v**3 + 0*v**2. Factor z(j).
3*j*(j - 1)**3/4
Let s(f) = -f + 2. Let c be s(-2). Solve c*n**3 - 16*n + 13 + 0*n**3 + 0 - n**4 + 3 = 0.
-2, 2
Let b(z) be the third derivative of -z**5/3 + 13*z**4/6 - 16*z**3/3 - 30*z**2. Let o(v) = v**3 - 41*v**2 + 103*v - 64. Let g(q) = -7*b(q) + 4*o(q). Factor g(u).
4*(u - 2)**3
Factor -26/3*g**3 + 8*g + 20/3*g**2 - 32/3 - 1/3*g**5 + 3*g**4.
-(g - 4)*(g - 2)**3*(g + 1)/3
Let c(a) be the third derivative of a**6/1080 + a**5/60 + 5*a**4/72 - 3*a**3 - 26*a**2. Let s(r) be the first derivative of c(r). Let s(y) = 0. Calculate y.
-5, -1
Suppose -79*m + 86*m - 35 = 0. Let k(u) be the second derivative of 0*u**3 + 0*u**2 - 1/16*u**4 - 3/80*u**m + 0 + 4*u. Solve k(f) = 0.
-1, 0
Let f(t) be the third derivative of 54*t**8/7 + 1098*t**7/35 + 153*t**6/5 + 143*t**5/10 + 23*t**4/6 + 5*t**3/8 - 199*t**2. Factor f(c).
(6*c + 1)**4*(8*c + 15)/4
Factor -512/7 - 832/7*v - 14*v**2 - 3/7*v**3.
-(v + 16)**2*(3*v + 2)/7
Let g(d) be the first derivative of -2/7*d + 1/28*d**4 - 4/21*d**3 - 6 + 5/14*d**2. What is b in g(