 the third derivative of 0*x - 1/108*x**4 + 0 - 1/135*x**5 + x**2 - 1/540*x**6 + 0*x**3. Factor w(u).
-2*u*(u + 1)**2/9
Factor 0*x**3 + x**3 + 2*x**2 + x - 2 - 2*x**3.
-(x - 2)*(x - 1)*(x + 1)
Let s = 6 + -2. Let d(p) be the third derivative of 0*p + 0 - 7/300*p**6 - 2*p**2 - 1/30*p**s - 3/50*p**5 + 0*p**3. Factor d(a).
-2*a*(a + 1)*(7*a + 2)/5
Let h be -3*(-20)/(-24)*-2. Let d(c) be the third derivative of c**2 + 0*c**3 + 0*c + 0 + 1/40*c**4 - 1/300*c**h. Factor d(k).
-k*(k - 3)/5
Let s(j) be the second derivative of 5/42*j**7 + 0 + 1/5*j**5 + 1/3*j**4 + 9*j + 0*j**2 - 13/30*j**6 + 0*j**3. Factor s(a).
a**2*(a - 2)*(a - 1)*(5*a + 2)
Let m be (3*4/16)/(33/16). Let -2/11*l**3 - 2/11*l**2 + 0 + m*l = 0. What is l?
-2, 0, 1
Let m(o) = -o**2 - 4*o - 1. Let s be m(-3). Factor 4*i + i**3 - 4*i**3 + 4*i**3 - 4*i**s.
i*(i - 2)**2
Factor 173 - 78*m + 178 + 3*m**2 - 51 + 207.
3*(m - 13)**2
Let t(u) = 11*u**2 - 2*u - 1. Let m be t(-2). Let -78*z**2 + 88*z**3 + m*z**3 - 2*z**2 - 162*z**4 + 99*z**3 + 8*z = 0. What is z?
0, 2/9, 1
Let d be 7/((-42)/(-12)) - 2. Factor 0*z**3 - 2/5*z**4 + 0 + 0*z**2 + d*z.
-2*z**4/5
Factor 10*k + 2*k**2 + 2 + k**5 + 4*k**3 - 11*k - 4*k - 4*k**4.
(k - 2)*(k - 1)**3*(k + 1)
Let m(h) = -9*h + 12. Let v(n) = -n**2 + 10*n - 13. Let g(l) = -4*m(l) - 3*v(l). Determine b so that g(b) = 0.
-3, 1
Let i(u) = -u**3 + 6*u**2 - 6*u + 5. Let o be i(5). Solve -2*s**3 + s**4 + o*s**4 - 4 + 3 + 2*s = 0.
-1, 1
Let v be 4/5 + (-7)/(-35). Factor r**3 + 0 + 1 - v.
r**3
Let h = -463 + 4171/9. Find b such that -h*b + 4/9*b**3 + 2/9 - 2/9*b**4 + 0*b**2 = 0.
-1, 1
Determine b so that -8/5 - 26/5*b**2 - 2/5*b**4 + 24/5*b + 12/5*b**3 = 0.
1, 2
Let p(l) = -l + 17. Let q be p(7). Factor 3 - 10*i + 6*i**4 - 11 - 2*i**2 + 4 + q*i**3.
2*(i - 1)*(i + 1)**2*(3*i + 2)
Let z(r) be the first derivative of -r**6/10 - 6*r**5/25 + 2*r**3/5 + 3*r**2/10 + 3. Factor z(j).
-3*j*(j - 1)*(j + 1)**3/5
What is a in -9*a**4 + 15 - 39*a**4 - 36*a**2 + 216*a**3 + 22*a**2 + 155*a**2 - 108*a = 0?
-1, 1/4, 5
Let i(j) be the second derivative of -j**7/42 + j**6/30 + j**5/20 - j**4/12 + 4*j. Factor i(n).
-n**2*(n - 1)**2*(n + 1)
Let w = 79/7 + -11. Suppose 2/7*r**5 + w*r**3 + 0*r**2 + 0 + 0*r - 4/7*r**4 = 0. What is r?
0, 1
Let l(w) be the second derivative of -w**5/30 - w**4/6 - w**3/3 + w**2/2 - 6*w. Let r(g) be the first derivative of l(g). Factor r(j).
-2*(j + 1)**2
Let b = 8 - 4. Let n(u) be the second derivative of -1/15*u**7 + 0 + 0*u**2 + 0*u**3 + 2/75*u**6 - 1/15*u**b + 7/50*u**5 + 2*u. Solve n(j) = 0 for j.
-1, 0, 2/7, 1
Let v be (-6)/(-21) - (-99)/21. Factor -3*r**2 + 4*r + 4*r**2 - v*r**3 - 9*r**2.
-r*(r + 2)*(5*r - 2)
Determine h, given that h**3 + 4 - 7*h**3 - 4*h**3 + 15*h**4 - 13*h**2 - 4*h**3 + 8*h = 0.
-2/3, -2/5, 1
Let j = -21/8 + 8/3. Let g(o) be the first derivative of -2 - j*o**6 + 1/12*o**3 + 3/20*o**5 + 0*o + 0*o**2 - 3/16*o**4. Factor g(u).
-u**2*(u - 1)**3/4
Find i, given that -1/2 + 0*i + 1/8*i**2 = 0.
-2, 2
Let a(r) be the third derivative of r**5/240 - r**4/96 - r**3/4 - 5*r**2. Determine g so that a(g) = 0.
-2, 3
Suppose -6*o + 10*o - 28 = 0. Factor 21*g + 3 - o - 18*g**2 + g.
-2*(g - 1)*(9*g - 2)
Let i be 166/104 - 8/(-52). Factor -i*d + 1/2 + 3/2*d**2.
(2*d - 1)*(3*d - 2)/4
Let g(a) be the second derivative of 3*a**5/10 + 5*a**4/4 + 2*a**3 + 3*a**2/2 - 11*a. What is x in g(x) = 0?
-1, -1/2
Let l(w) be the third derivative of -w**5/105 + w**4/21 - 2*w**3/21 + 9*w**2. Factor l(u).
-4*(u - 1)**2/7
Factor -3/2*g**3 + 18*g**2 + 96 - 72*g.
-3*(g - 4)**3/2
Factor 4/7*t + 2/7 + 2/7*t**2.
2*(t + 1)**2/7
Let s(d) be the first derivative of -1/20*d**4 + 0*d - 1 - 1/10*d**2 - 2/15*d**3. Factor s(l).
-l*(l + 1)**2/5
Let p(h) = -h**5 + h**4 - 6*h**3 + 13*h**2 - 7*h + 7. Suppose 0 = -f - f + 14. Let m(x) = 2*x**3 - 4*x**2 + 2*x - 2. Let y(d) = f*m(d) + 2*p(d). Factor y(b).
-2*b**2*(b - 1)**2*(b + 1)
Let l = -196/3 - -66. Let x(w) be the first derivative of 0*w - l*w**3 + 1/2*w**4 - 1/3*w**6 - 1 + 0*w**2 + 2/5*w**5. Determine r so that x(r) = 0.
-1, 0, 1
Let b(y) be the third derivative of -1/660*y**6 + 2*y**2 + 0 + 0*y**5 - 1/1848*y**8 + 0*y + 0*y**4 + 2/1155*y**7 + 0*y**3. Find t such that b(t) = 0.
0, 1
Let m(a) be the third derivative of -a**8/840 - a**7/140 - a**6/60 - a**5/60 + a**3/6 + 7*a**2. Let k(w) be the first derivative of m(w). Factor k(n).
-2*n*(n + 1)**3
Let l be ((-7)/(-6))/(-7) + 78/36. Determine f, given that 2 - 18*f + 81/2*f**l = 0.
2/9
Let z(l) be the first derivative of 24*l**5/35 + 13*l**4/14 - 16*l**3/3 + 37*l**2/7 - 12*l/7 + 9. Solve z(k) = 0 for k.
-3, 1/4, 2/3, 1
Let h(k) = 4*k - 25. Let a be h(7). Determine p so that 6/7*p**a - 6/7*p - 4/7 + 4/7*p**2 = 0.
-1, -2/3, 1
Determine t so that -26*t + 68*t - 2 - 34*t - 12*t**2 - 2*t**4 + 8*t**3 = 0.
1
Let g(x) = -1. Let c(h) = -6*h**3 - 19*h**2 - 16*h - 7. Let q(j) = c(j) - 3*g(j). Find n such that q(n) = 0.
-2, -2/3, -1/2
Let i(y) be the second derivative of y**5/5 + 26*y**4/9 + 128*y**3/9 + 64*y**2/3 + 12*y. Factor i(v).
4*(v + 4)**2*(3*v + 2)/3
Let r(l) be the third derivative of -l**10/30240 - l**9/10080 + l**7/5040 - l**4/3 + l**2. Let n(w) be the second derivative of r(w). Factor n(z).
-z**2*(z + 1)**2*(2*z - 1)/2
Let c be (-48)/84*(33/(-6) - -2). Determine a, given that 2/3*a - 4/3*a**c + 2/3 = 0.
-1/2, 1
Let l(u) be the third derivative of -2/15*u**3 - 1/12*u**4 - 2/75*u**5 + 3*u**2 - 1/300*u**6 + 0*u + 0. Factor l(w).
-2*(w + 1)**2*(w + 2)/5
Factor 4/7*z**2 + 2/7*z**3 + 0 + 0*z.
2*z**2*(z + 2)/7
Suppose 4*m - 32 = -5*w, 2*m - 5*w = -4*w + 2. Let u(d) be the third derivative of -1/36*d**4 + 0 + 0*d + 0*d**m + 2*d**2 + 1/270*d**5. Factor u(a).
2*a*(a - 3)/9
Let k(j) = j**4 + 12*j**3 + 12*j**2. Let m(r) = -2*r**2 - 12*r**3 + 0*r**3 - 10*r**2. Let u(c) = -3*k(c) - 2*m(c). Solve u(b) = 0 for b.
-2, 0
Factor 12/7 + 15/7*o + 3/7*o**2.
3*(o + 1)*(o + 4)/7
Let q(x) = x**2 - 8*x + 5. Let j(p) = -p**2 + 8*p - 4. Let o(m) = -2*j(m) - 3*q(m). Let o(c) = 0. What is c?
1, 7
Let r be (-40)/(-18) - (-3 - 58/(-18)). Let -2/7*u**5 - 2/7*u**3 + 4/7*u**4 + 0 + 0*u**r + 0*u = 0. Calculate u.
0, 1
Factor 1/4 + q + q**2.
(2*q + 1)**2/4
Let 4*z + 3*z**2 - 3*z - z - 3*z**3 = 0. What is z?
0, 1
Let l = 2 - 0. Determine d, given that 4*d - 5*d**2 + 0 + 4*d**l - 1 - 3 = 0.
2
Suppose u = -4*y - 4, -3*y - 1 - 2 = -4*u. Suppose u = 2*f + 2*f - 20. Let 2 - c**4 - c**2 - 2*c - 4*c + 4*c**3 - 5*c**4 + 2*c**f + 5*c**2 = 0. What is c?
-1, 1
Find t, given that 0*t + 8/3*t**3 - 4/3*t**5 + 0*t**2 + 0 - 4/3*t**4 = 0.
-2, 0, 1
Suppose 0 = 2*q - 11 + 1. Find a such that 9*a**3 + q*a + a - 3*a**4 + 0*a**4 - 3*a**5 + 0*a**3 + 15*a**2 = 0.
-1, 0, 2
Determine b, given that 4*b**2 + 4*b**3 - 5*b**2 - 2*b - 2*b**3 + b**4 = 0.
-2, -1, 0, 1
Let j(w) be the first derivative of -w**6/20 - w**5/3 - 3*w**4/4 - 2*w**3/3 + 4*w**2 - 7. Let f(r) be the second derivative of j(r). Factor f(b).
-2*(b + 1)*(b + 2)*(3*b + 1)
Let c(b) be the third derivative of b**8/1176 + 4*b**7/147 + 8*b**6/21 + 64*b**5/21 + 320*b**4/21 + 1024*b**3/21 + 2*b**2. Solve c(x) = 0 for x.
-4
Let d(t) be the second derivative of 3*t**5/20 - 3*t**4/4 - t**3/2 + 9*t**2/2 - 19*t. Factor d(l).
3*(l - 3)*(l - 1)*(l + 1)
Let v(y) be the second derivative of y**9/12096 - y**8/3360 + y**6/720 - y**5/480 - y**3/6 + y. Let d(k) be the second derivative of v(k). Factor d(c).
c*(c - 1)**3*(c + 1)/4
Let q(x) = -2*x**2 + 6*x - 6. Let u(r) = 1. Let l(k) = 4. Let v(m) = -l(m) + 3*u(m). Let h(g) = -q(g) + 2*v(g). Factor h(s).
2*(s - 2)*(s - 1)
Suppose -8 = -3*g + 4. Factor 9*l**2 + 3 + 7*l - l**3 + g*l**3 + 2*l.
3*(l + 1)**3
Solve -3/2*x**3 + 3/2*x**2 - 3/2 + 3/2*x = 0 for x.
-1, 1
Let s(v) be the third derivative of v**7/735 - v**6/420 + v**2. Find b, given that s(b) = 0.
0, 1
Suppose -4*v + 3 = -v. Let w(l) = l**3 - 1. Let r(s) = -6*s**4 + 4*s**3 + 2*s**2 - 4*s + 4. Let m(u) = v*r(u) + 4*w(u). Factor m(g).
-2*g*(g - 1)**2*(3*g + 2)
Let f(v) = -42*v**3 - 27*v**2 + 27*v + 12. Let g = 8 - 14. Let j(w) = -43*w**3 - 28*w**2 + 28*w + 13. Let s(x) = g*j(x) + 7*f(x). What is a in s(a) = 0?
-1, -1/4, 2/3
Let l(p) be the second derivative of -1/10*p**6 + 3/10*p**5 + 0 + p - 3/2*p**2 - 1/14*p**7 - 1/2*p**3 + 1/2*p**4. Factor l(k).
-3*(k - 1)**2*(k + 1)**3
Let s(t) be the first derivative of 