**2. Factor w(s).
3*s*(s - 1)**2*(s + 1)/5
Let r(k) = 12*k**3 + 21*k**2 + 8*k - 1. Let z(t) = -36*t**3 - 63*t**2 - 25*t + 2. Let a(y) = 7*r(y) + 2*z(y). What is d in a(d) = 0?
-1, 1/4
Let f be 7 + -4 - (-6 + 4). Let h(b) be the third derivative of 0*b**4 + 1/150*b**f + 3*b**2 - 1/15*b**3 + 0*b + 0. Factor h(n).
2*(n - 1)*(n + 1)/5
Let s be 40/(-8) - (22/(-4) - 1). Factor 3/4*t**3 + 9/4*t**2 + s*t + 0.
3*t*(t + 1)*(t + 2)/4
Let b(t) = t + 2. Let u be b(0). Find y, given that 3*y**4 + y**3 - 3*y**2 - 3*y**3 + u*y**3 = 0.
-1, 0, 1
Let d be 10/3 - 2/6. Factor -q**4 - d*q**5 + q**2 + 6*q**3 - 5*q**3 + 2*q**5.
-q**2*(q - 1)*(q + 1)**2
Let r(a) = a**3 + a**2 + a - 1. Suppose y = 1 + 2. Let p = 0 + y. Let i(b) = b**3 + b**2 + 3*b - 3. Let s(z) = p*r(z) - i(z). Factor s(n).
2*n**2*(n + 1)
Factor -3*f**2 - 12/5 - 24/5*f - 3/5*f**3.
-3*(f + 1)*(f + 2)**2/5
Let n = 53/98 - 2/49. Solve -n*i**3 + 0*i**2 - 1 + 3/2*i = 0.
-2, 1
Find s, given that -3/2*s**2 - 33/2*s + 18 = 0.
-12, 1
Let z(g) be the first derivative of 2*g**6/3 + 3*g**5/5 - 5*g**4/4 - g**3 + g**2/2 + 19. Factor z(y).
y*(y - 1)*(y + 1)**2*(4*y - 1)
Let b(o) be the first derivative of -o**3/3 + 3*o**2 - 9*o - 10. Find n, given that b(n) = 0.
3
Factor -4*c - 4*c**2 - 2 + 4*c**3 + 7 - 1 + 0.
4*(c - 1)**2*(c + 1)
Let v(a) be the second derivative of -a**7/42 + a**6/45 + a**5/6 - a**4/3 + a**3/18 + a**2/3 + 3*a. Determine f so that v(f) = 0.
-2, -1/3, 1
Let m be ((-8)/18)/(40/(-12)). Let a(h) be the second derivative of 0*h**3 + 0 + 2*h + 0*h**2 - 1/18*h**6 + 1/9*h**4 - m*h**5. Factor a(c).
-c**2*(c + 2)*(5*c - 2)/3
Let l be 1/(2 + (-27)/15). Let u = 8 - l. Factor 4*i**3 + i**3 - i - 4*i**u.
i*(i - 1)*(i + 1)
Let m(b) be the third derivative of -b**8/6720 - b**7/2520 - b**4/24 + 2*b**2. Let j(n) be the second derivative of m(n). Factor j(c).
-c**2*(c + 1)
Let r be 7/((-3)/(-15)*5). Let m(d) be the third derivative of 1/840*d**r + 0*d**3 + 0 + 1/96*d**4 - 1/240*d**5 - 1/480*d**6 + 2*d**2 + 0*d. Factor m(j).
j*(j - 1)**2*(j + 1)/4
Let a(u) be the second derivative of u**9/20160 + u**8/8960 - u**7/3360 - u**6/960 + u**4/3 + 5*u. Let z(r) be the third derivative of a(r). Factor z(j).
3*j*(j - 1)*(j + 1)**2/4
Factor -d**4 - 1/2*d**3 + 3/4*d**2 + 5/8*d + 1/8.
-(d - 1)*(2*d + 1)**3/8
Let t = 20 - 9. Suppose 3*u = 53 - t. Factor 3*r - 5*r - r - r - u*r**2 - 10*r**3.
-2*r*(r + 1)*(5*r + 2)
Let k(i) = -i**3 - i**2. Let q(x) be the first derivative of x**4/2 + 2*x**3 - 3. Let u(b) = -4*k(b) - q(b). Determine l so that u(l) = 0.
0, 1
Determine l so that 0 + 0*l**4 + 1/4*l + 1/4*l**5 + 0*l**2 - 1/2*l**3 = 0.
-1, 0, 1
Factor 0 - 1/3*m - 1/3*m**2.
-m*(m + 1)/3
Suppose 3 = s - q, 3*s - 4*q - 6 = 6. Let l(b) be the third derivative of 1/60*b**5 - 1/3*b**3 - 1/24*b**4 + s - 2*b**2 + 0*b. Determine p, given that l(p) = 0.
-1, 2
Determine a so that -3*a**2 + 7*a**5 - 10*a**5 + 5*a**4 + 3*a**3 - 2*a**4 = 0.
-1, 0, 1
Suppose -2*p = 5 - 13. Let y be 2/(-6) + (-63)/(-27). Solve -j - j + 0*j**3 - 8*j**y - 2*j**3 - p*j**3 = 0 for j.
-1, -1/3, 0
Let g = -7 + 9. Let p(j) = 2*j**2 - 2*j - 2. Let q be p(g). Suppose 4 + 6*k**2 - 9*k**q + 8*k**3 + 10*k**2 + 17*k**2 + 18*k = 0. What is k?
-2, -1/2
Let a be (42/(-63))/(2*-1). Let f(i) be the first derivative of -a*i + 1/9*i**3 - 2 - 1/6*i**2 + 1/12*i**4. Factor f(u).
(u - 1)*(u + 1)**2/3
Let b(i) be the first derivative of 15/4*i**3 - 8 - 3/4*i + 9/10*i**5 - 9/8*i**2 - 51/16*i**4. Factor b(n).
3*(n - 1)**3*(6*n + 1)/4
Let j(d) be the second derivative of -d**9/15120 + d**7/4200 + 7*d**3/6 + 9*d. Let t(q) be the second derivative of j(q). Let t(v) = 0. What is v?
-1, 0, 1
Let k(a) = -5*a**3 + 8*a**2 - 5*a - 9. Suppose 2*v - 3 - 15 = 0. Let g(x) = 2*x**3 - 4*x**2 + 2*x + 4. Let w(i) = v*g(i) + 4*k(i). Determine h so that w(h) = 0.
-1, 0
Let m(g) be the third derivative of -g**5/120 + g**4/8 - 2*g**3/3 - 35*g**2. Factor m(b).
-(b - 4)*(b - 2)/2
Suppose 0 = 5*z - 1 + 6. Let j(o) = -14*o**2 - 2*o + 6. Suppose -4*u + 29 - 5 = 0. Let w(s) = -s + 1. Let i(t) = u*w(t) + z*j(t). Find c such that i(c) = 0.
0, 2/7
Let i(t) = 6*t**3 + 6*t**2 - 8*t - 3. Let h(c) = c**3 - c**2 + 1. Let o(a) = -h(a) + i(a). Factor o(j).
(j - 1)*(j + 2)*(5*j + 2)
Let i be (-4 - 55/(-20))*-4. Factor 0*l**2 + 0 + 1/2*l**3 + 7/4*l**i - 9/4*l**4 + 0*l.
l**3*(l - 1)*(7*l - 2)/4
Let g(l) be the first derivative of l**6/60 - l**4/12 - 2*l**2 - 4. Let u(j) be the second derivative of g(j). Factor u(v).
2*v*(v - 1)*(v + 1)
Let n(g) be the second derivative of 1/5*g**5 + 1/3*g**4 + 0*g**2 + 0 + 0*g**3 - 6*g. Solve n(z) = 0.
-1, 0
Let a be -1 - -13*(2 - -1). Let w = a + -6. Factor -16*z**3 - 2*z**2 - w*z**4 + 0*z + 0*z.
-2*z**2*(4*z + 1)**2
Factor 0 + 7*f + 5*f**2 - 3*f**2 - f + 4.
2*(f + 1)*(f + 2)
Let a be 1 - (9/(-4))/(-3). Suppose -4*f - 4*l = 8, 0 = -3*f - 5*l - 11 + 1. Determine j, given that -a*j**2 + f + 1/4*j = 0.
0, 1
Let n(j) be the third derivative of j**6/180 + j**5/60 + j**3/3 - 3*j**2. Let c(x) be the first derivative of n(x). Solve c(t) = 0.
-1, 0
Let b(y) be the second derivative of -y**7/3780 + y**6/540 - y**5/180 + y**4/108 - y**3 + 8*y. Let a(f) be the second derivative of b(f). What is x in a(x) = 0?
1
Let q(a) be the first derivative of a**8/504 + a**7/105 + a**6/90 + 7*a**2/2 + 5. Let u(w) be the second derivative of q(w). Factor u(y).
2*y**3*(y + 1)*(y + 2)/3
Let z(k) be the third derivative of k**7/50 - 19*k**6/200 + 2*k**5/25 + k**4/10 + 7*k**2. Determine b so that z(b) = 0.
-2/7, 0, 1, 2
Let f(m) be the first derivative of 1 - 3/4*m**2 + 0*m + 1/3*m**3 + 1/8*m**4. Solve f(u) = 0.
-3, 0, 1
Find l such that -4/9*l**2 + 0*l + 0*l**3 + 2/9*l**4 + 2/9 = 0.
-1, 1
Let n be -3 + 2 + 0/(-3). Let q = 4 - n. Determine v, given that 2 + 7*v - 6*v**3 - 83*v**4 - 79*v**3 + 6*v**3 - 19*v**2 - 28*v**q = 0.
-1, -1/4, 2/7
Let k = -4/63 + 146/315. Suppose 0 - 12 = -3*p. Factor -2/5*g**p + 1/5*g - 1/5*g**5 + 0 + k*g**2 + 0*g**3.
-g*(g - 1)*(g + 1)**3/5
What is q in 3/2*q**2 + 36*q + 216 = 0?
-12
Let q(k) be the second derivative of -k**5/100 + k**4/30 + k**3/30 - k**2/5 + k. Factor q(t).
-(t - 2)*(t - 1)*(t + 1)/5
Let 1/10*u**2 + 1/10 - 1/5*u = 0. Calculate u.
1
Let t(v) = -v**2 - 4*v - 2. Let j be -1*1*10/5. Let b be t(j). Factor 0*m - b*m - 7*m**2 + 9*m**2.
2*m*(m - 1)
Let j be (-6)/9*9/(-2). Let p - p**3 + 4*p**2 + 0*p**3 - j*p**2 - p**4 = 0. Calculate p.
-1, 0, 1
Let p(q) = q**2 - q. Let r(i) = 30*i**2 - 18*i - 12. Let c(u) = 36*p(u) - 2*r(u). Let o(l) = l**2 - 1. Let w(m) = c(m) + 20*o(m). Factor w(n).
-4*(n - 1)*(n + 1)
Let l = 1 - -2. Find m, given that 0*m - 1 - 2*m - 1 + 2*m**l + 4*m**2 - 2*m**2 = 0.
-1, 1
Let h(p) be the first derivative of -p**4/4 - p**3 - 3*p**2/2 - p - 8. Factor h(q).
-(q + 1)**3
Suppose 0 = -j + 2*j - 10. Suppose 0 = 4*x - 0*x - 4*w, 3*x + 2*w - j = 0. Factor -1/2*p**x - 1/2 - p.
-(p + 1)**2/2
Let i(a) = -25*a + 2. Let x be i(3). Let h = x - -513/7. Suppose 2/7 - h*y**2 + 0*y = 0. Calculate y.
-1, 1
Let w(u) be the first derivative of -3*u**4/4 + u**3 + 3*u**2/2 - 3*u + 1. Factor w(x).
-3*(x - 1)**2*(x + 1)
Let c(y) be the second derivative of y**8/840 - y**7/420 + 4*y**3/3 + 7*y. Let v(u) be the second derivative of c(u). Factor v(g).
2*g**3*(g - 1)
Let l be 6/(-36)*12/(-10). Let d(g) be the second derivative of -2/3*g**3 + 0 + 1/5*g**5 + g + g**2 + l*g**6 - 2/3*g**4. Let d(v) = 0. Calculate v.
-1, 1/3, 1
Let y = -203 + 205. Factor 2/3*l - 2/3*l**y - 2/3*l**3 + 2/3*l**4 + 0.
2*l*(l - 1)**2*(l + 1)/3
Let r(b) be the third derivative of 0 + 1/6*b**3 + 1/24*b**4 + 0*b + 1/240*b**5 - 3*b**2. Factor r(v).
(v + 2)**2/4
Suppose 110*k**3 - 59*k**4 + 50*k**3 - 1920*k**2 + 10240*k - 20480 + 54*k**4 = 0. Calculate k.
8
Solve 2/3*z**3 + 10/3*z**2 + 8/3 + 16/3*z = 0 for z.
-2, -1
Let q be (-2 - -4) + 2 - 2. Let r(o) be the first derivative of 1/4*o**4 + 1/10*o**5 + 0*o**3 + q - 1/2*o**2 - 1/2*o. Determine w, given that r(w) = 0.
-1, 1
Let h(i) be the second derivative of 4*i - 3/20*i**4 + 3/100*i**5 + 3/10*i**3 - 3/10*i**2 + 0. Solve h(s) = 0.
1
Suppose -898*r + 12 = -894*r. Find y, given that -8/11 - 2/11*y**r - 12/11*y**2 - 18/11*y = 0.
-4, -1
Let r(w) be the third derivative of -1/40*w**6 + 0*w - 1/4*w**4 - 3/20*w**5 - 3*w**2 + 0 + 0*w**3. Find d, given that r(d) = 0.
-2, -1, 0
Let s(l) be the 