*g. Factor z(a).
-2*a**2*(a - 1)**2*(a + 1)/5
Let t(p) be the first derivative of -1/8*p**4 - 3 - 1/2*p**2 + 0*p - 1/2*p**3. Let t(u) = 0. Calculate u.
-2, -1, 0
Let t(z) = z**3 - z**2 + z + 1. Let w(i) = 32*i**3 + 88*i**2 + 60*i + 12. Let o(y) = -4*t(y) - w(y). Factor o(s).
-4*(s + 1)*(3*s + 2)**2
Let k(p) be the second derivative of -p**7/28 - p**6/20 + 3*p**5/20 + 17*p. Find t, given that k(t) = 0.
-2, 0, 1
Let g(d) be the second derivative of d**4/4 - d**3/6 - d**2/2 + d. Let u be g(-1). Factor 0 - 1/2*f**2 + 0*f + 1/2*f**u.
f**2*(f - 1)/2
Let o(y) be the first derivative of y**6/3 - 6*y**5/5 + 8*y**3/3 - 5. Determine d so that o(d) = 0.
-1, 0, 2
Find p, given that -p**2 - 3*p**2 + 2*p**2 - 1 + 3 = 0.
-1, 1
Let a(l) be the first derivative of 9*l**4/20 - 2*l**3/5 - 3*l**2/10 + 4. Find s such that a(s) = 0.
-1/3, 0, 1
Let g(k) = -k**2 + k. Let a be g(1). Let f(y) be the second derivative of 1/10*y**5 + 1/4*y**4 - 2*y**2 - 2/3*y**3 + a - 1/30*y**6 - 2*y. Factor f(m).
-(m - 2)**2*(m + 1)**2
Let k(w) be the second derivative of -w**7/231 - 8*w**6/165 - w**5/5 - 14*w**4/33 - 17*w**3/33 - 4*w**2/11 - 12*w. Factor k(i).
-2*(i + 1)**4*(i + 4)/11
Let s(k) be the second derivative of 3*k + 1/12*k**4 + 3/2*k**2 + 0 + 1/120*k**6 + 1/20*k**5 + 0*k**3. Let c(h) be the first derivative of s(h). Factor c(w).
w*(w + 1)*(w + 2)
Let x(n) = 3*n**4 + 18*n**3 - 3*n**2 + 18*n. Let k(q) = q**3 + q. Let u(w) = -18*k(w) + x(w). Factor u(d).
3*d**2*(d - 1)*(d + 1)
Let v be (-525)/(-100) - (5*-3)/(-3). Find a, given that 0 + 1/4*a**2 + v*a = 0.
-1, 0
Let t(k) = -2*k**2 - 12*k + 4. Let a be t(-6). Let b be (a + -3)*2/8. What is x in -1/4*x**3 - b*x**2 + 1/4*x + 1/4 = 0?
-1, 1
Solve -4/3 + 3*d**2 + 8/3*d - 5/3*d**4 - 8/3*d**3 = 0.
-2, -1, 2/5, 1
Let i(o) be the first derivative of 4*o**5/5 + o**4 - 16*o**3/3 - 8*o**2 + 13. Let i(x) = 0. What is x?
-2, -1, 0, 2
Factor -2/3*a**3 - 1/3*a**2 + 1/3*a**4 + 2/3*a + 0.
a*(a - 2)*(a - 1)*(a + 1)/3
Let g(i) be the second derivative of i**7/1260 + i**6/360 - i**5/30 - i**4/4 - 2*i. Let f(k) be the third derivative of g(k). Determine q so that f(q) = 0.
-2, 1
Factor -11*i**2 - 9*i**2 - 16 + 46*i**3 - 32*i - 50*i**3.
-4*(i + 1)*(i + 2)**2
Let f(k) be the third derivative of 0*k**3 - 2*k**2 + 0*k**7 + 0*k**5 - 1/240*k**6 + 0*k + 0 + 1/1344*k**8 + 1/96*k**4. Factor f(l).
l*(l - 1)**2*(l + 1)**2/4
Let g(z) be the second derivative of -3*z**5/80 + 3*z**4/8 - 9*z**3/8 + 3*z**2/2 - 42*z. Factor g(y).
-3*(y - 4)*(y - 1)**2/4
Let y be 2*-1 - (-25)/10. Factor -y*g**5 - 3/2*g**3 - 1/2*g**2 + 0*g + 0 - 3/2*g**4.
-g**2*(g + 1)**3/2
Let w(f) be the second derivative of 0 - 2/3*f**3 - 4*f + 1/3*f**4 + 1/21*f**7 + 1/10*f**5 + 1/2*f**2 - 1/6*f**6. Factor w(b).
(b - 1)**3*(b + 1)*(2*b - 1)
Factor 35 + 4*c**3 + 5*c**2 - 18 + 0*c - 7*c - 19.
(c - 1)*(c + 2)*(4*c + 1)
Let g(i) be the third derivative of i**8/151200 + i**5/60 - 6*i**2. Let u(y) be the third derivative of g(y). Factor u(c).
2*c**2/15
Let z = 38 + -70. Let y be (3/2)/((-12)/z). Factor 2/5*v + 0*v**2 - 4/5*v**3 + 2/5*v**5 + 0*v**y + 0.
2*v*(v - 1)**2*(v + 1)**2/5
Find m, given that -10/9*m + 22/9*m**2 - 4/9 - 8/9*m**3 = 0.
-1/4, 1, 2
Let m(i) = -i**3 - i + 2. Let c be m(0). Solve -8*b + 9*b + b - c*b**2 + 4 = 0.
-1, 2
Let u(z) be the third derivative of z**9/151200 + z**8/50400 - z**5/60 - z**2. Let o(f) be the third derivative of u(f). Find c, given that o(c) = 0.
-1, 0
Let d be -9 - -15 - 4/2. Determine z, given that 0 + 0*z**d - 1/3*z**5 + 0*z + 0*z**2 + 1/3*z**3 = 0.
-1, 0, 1
Let s(w) = -3 - 1 + 3*w - 4*w + 4*w**2 + 2. Let k(u) = u**2 - u - 1. Let i(o) = o + 2. Let d be i(-5). Let a(v) = d*k(v) + s(v). Factor a(t).
(t + 1)**2
Suppose i - 4 = -0*i. Let u(d) be the third derivative of 1/24*d**i - 2*d**2 + 0*d + 1/120*d**6 + 1/30*d**5 + 0 + 0*d**3. Solve u(o) = 0 for o.
-1, 0
Suppose -w = -3*w - 3*i - 12, -3*w - 5*i - 20 = 0. Factor -9*q**3 + w*q**2 - 3*q**2 - q**2 - q**3 - 4*q**4.
-2*q**2*(q + 2)*(2*q + 1)
Let d be 8 + (9 - (-99)/(-6)). Factor 1/2*o - d*o**2 + 0.
-o*(o - 1)/2
Let p(m) be the first derivative of m**6/160 - m**5/40 + m**4/32 + m**2/2 - 3. Let g(u) be the second derivative of p(u). Factor g(a).
3*a*(a - 1)**2/4
Let v(c) be the third derivative of 0 + 1/20*c**6 + 1/30*c**5 + 7*c**2 + 0*c - 1/6*c**4 + 0*c**3 - 1/105*c**7 - 1/168*c**8. Find q such that v(q) = 0.
-2, -1, 0, 1
Let f be 1 - (0 + 2/4). Let j(o) = o**3 - 9*o**2 + 11*o + 23. Let b be j(7). Factor 0 - f*k**b + 1/2*k.
-k*(k - 1)/2
Let a(v) be the second derivative of 0 + 0*v**3 + 10/3*v**6 + 0*v**2 + 4/3*v**4 + 4*v**5 + v. Factor a(j).
4*j**2*(5*j + 2)**2
Factor -9 + 5 - 3*o**2 + 7 - 3*o + 3*o**3.
3*(o - 1)**2*(o + 1)
Let w(q) be the third derivative of -q**9/18144 - q**8/4320 - q**7/3780 - q**5/30 + 2*q**2. Let f(o) be the third derivative of w(o). Solve f(g) = 0 for g.
-1, -2/5, 0
Let f(k) = 13*k**3 - 32*k**2 + 40*k - 11. Let g(m) = 20*m**3 - 48*m**2 + 60*m - 16. Let h(y) = -8*f(y) + 5*g(y). Factor h(j).
-4*(j - 2)*(j - 1)**2
Let q(d) = -78*d**3 + 10*d**2 + 4*d + 6. Let s(h) = -79*h**3 + 11*h**2 + 4*h + 5. Let k(i) = -5*q(i) + 6*s(i). Solve k(b) = 0 for b.
-1/7, 0, 1/3
Let o(c) be the first derivative of -5/16*c**4 + 3/40*c**5 + 1/8*c + 1/2*c**3 - 5 - 3/8*c**2. Factor o(w).
(w - 1)**3*(3*w - 1)/8
Let k be (3 + -4)/((-1)/2). Let q(d) be the second derivative of k*d + 0*d**2 + 1/16*d**5 + 0 + 1/40*d**6 + 0*d**3 + 1/24*d**4. Suppose q(x) = 0. What is x?
-1, -2/3, 0
Factor 2*p**4 - 9*p**2 - 5*p**4 + 3*p + 15*p**3 - 6*p**3.
-3*p*(p - 1)**3
Let r(y) be the first derivative of 8*y**6/9 + 88*y**5/15 + 169*y**4/12 + 133*y**3/9 + 20*y**2/3 + 4*y/3 + 7. Let r(z) = 0. What is z?
-2, -1, -1/4
Let y(t) be the second derivative of t**6/720 - t**5/180 - t**4/48 + 7*t**2/2 - t. Let r(d) be the first derivative of y(d). Factor r(i).
i*(i - 3)*(i + 1)/6
Let q = -3 + 11. Let w be (q - 7) + 1*2. Factor 4*d**3 - w*d**3 - 3*d**3.
-2*d**3
Factor 3*s + 0 - 3/5*s**2.
-3*s*(s - 5)/5
Suppose 4*j = -2*p + 6, -2*j - j - p = -3. Let o(r) be the third derivative of 0*r**3 + 0*r + j - r**2 + 1/90*r**5 + 1/108*r**4. Factor o(y).
2*y*(3*y + 1)/9
Suppose 36 = -3*c + 7*c. Let w(b) = b - 1. Let x be w(3). Factor -4*v + c*v**x - 19*v**2 + 8*v**2.
-2*v*(v + 2)
Let z(r) be the first derivative of 2/5*r - 4/5*r**2 + 4/5*r**3 + 2/25*r**5 - 2/5*r**4 + 1. Factor z(x).
2*(x - 1)**4/5
Let -41*m + 4*m**2 - 1 + 1 + 33*m = 0. What is m?
0, 2
Let t(q) = -4*q - 10. Let f be t(-3). Factor -11*o**2 - 2*o + 2*o**f + 14*o - 19*o**2.
-4*o*(7*o - 3)
Let n(d) = d + 8. Let q be n(-6). Suppose q*i + 4 = 3*i. Factor s**3 + 4*s - i*s**2 - 3*s + 2*s**2.
s*(s - 1)**2
Let u = 5/68 + 529/204. Factor 10/3*o - u + o**2.
(o + 4)*(3*o - 2)/3
Let w(q) be the third derivative of -7/180*q**6 + 0*q - 1/105*q**7 + q**2 - 1/36*q**4 - 1/18*q**5 + 0 + 0*q**3. Factor w(j).
-2*j*(j + 1)**2*(3*j + 1)/3
Let q = 232 - 230. Let 0 + 0*v - 2/7*v**3 - 2/7*v**q = 0. Calculate v.
-1, 0
Let j(h) = -7*h**2 + 3*h - 2. Let r(q) = -8*q**2 + 4*q - 2. Let k(t) = 7*j(t) - 6*r(t). Find p such that k(p) = 0.
-2, -1
Let v(l) = -3 + 4*l - 6*l**2 + 2*l**2 - 5*l**3 + 4*l**3. Let k be v(-5). Factor -y**3 + 0*y**5 - 2*y**3 + k*y**3 + y**5.
y**3*(y - 1)*(y + 1)
Let u(d) be the first derivative of 147/20*d**4 - 2 - 24/5*d + 18*d**2 - 126/5*d**3. Factor u(b).
3*(b - 2)*(7*b - 2)**2/5
Factor -2*l**2 + 2*l - 6*l**2 + 9*l**2.
l*(l + 2)
Suppose 0*u = 5*u. Suppose -4*n - 5*z - 15 = u, 3*n - 6 = -0*z + 2*z. Factor -2/3*j**4 + n + 0*j**2 + 0*j + 0*j**3.
-2*j**4/3
Let i(f) be the third derivative of -f**7/1050 - f**6/600 + f**5/300 + f**4/120 - 35*f**2 - f. Factor i(g).
-g*(g - 1)*(g + 1)**2/5
Let t(k) be the second derivative of -k**4/2 - 13*k**3/21 - 2*k**2/7 + 11*k. Solve t(p) = 0 for p.
-1/3, -2/7
Let t(r) be the first derivative of r**6/18 + 6. Factor t(s).
s**5/3
Let v be (0 - 2/4)*(7 + -7). Solve -2/3*p**4 + 0 + v*p + 0*p**2 + 2/3*p**3 = 0.
0, 1
Let z(x) be the second derivative of -x**6/45 + x**4/18 - 10*x. Let z(p) = 0. What is p?
-1, 0, 1
Let l(k) be the second derivative of -5*k**4/36 + 5*k**3/18 + 5*k**2/3 + 3*k. Factor l(y).
-5*(y - 2)*(y + 1)/3
Let u(h) be the first derivative of -h**3/6 + 2*h + 10. What is l in u(l) = 0?
-2, 2
Let f(b) = 5*b**3 - 4*b**3 - 6 + 7 + b**4 - b. Let y(r) = -17*r**4 + 15*r**3 - 4*r**