f). Factor x(t).
-(t - 2)**2*(t + 2)**2*(t + 9)
Find k, given that -k**3 - 8*k - 6*k**3 + 16*k**3 - 5*k**3 + 4*k**2 = 0.
-2, 0, 1
Let u = -15882 - -15885. Factor 0*s**u + 2*s - 7/3*s**2 + 1/3*s**4 + 0.
s*(s - 2)*(s - 1)*(s + 3)/3
Let z(d) be the first derivative of 1/33*d**3 + 1/44*d**4 + 0*d**2 + 16 + 0*d. Determine f so that z(f) = 0.
-1, 0
Let x be (17/((-357)/36))/(-1). Let d = 537/133 - 55/19. Factor x*p**3 - d*p**4 + 2/7*p + 2/7*p**5 - 8/7*p**2 + 0.
2*p*(p - 1)**4/7
Let j(m) be the first derivative of 4*m**5 + m**4 - 4264*m**3/15 + 1688*m**2/5 - 672*m/5 - 846. Solve j(g) = 0.
-7, 2/5, 6
Let b(r) be the first derivative of 15 - 6*r**2 + 60*r + 1/5*r**3. Factor b(p).
3*(p - 10)**2/5
Find h, given that 10*h - 10*h - 30 - 27*h + 3*h**2 = 0.
-1, 10
Let r be ((-92)/(-115))/4 + (-2)/110. Factor -4/11 + 2/11*t + 4/11*t**2 - r*t**3.
-2*(t - 2)*(t - 1)*(t + 1)/11
Let x(j) be the second derivative of -j**7/21 - 8*j**6/15 - 12*j**5/5 - 17*j**4/3 - 23*j**3/3 - 6*j**2 + 438*j. Suppose x(l) = 0. Calculate l.
-3, -2, -1
Suppose 3*a = -12*a + 30. Suppose -27 = -2*d + 5*f - 3, 0 = -a*d - 4*f - 12. Suppose 6/7*v**d + 0 + 4/7*v - 2/7*v**4 + 0*v**3 = 0. Calculate v.
-1, 0, 2
Let n(p) be the first derivative of 3*p**4/20 + 9*p**3 + 405*p**2/2 + 2025*p + 542. Determine s, given that n(s) = 0.
-15
What is n in -11/2 + 21/2*n - 9/2*n**2 - 1/2*n**3 = 0?
-11, 1
Suppose 0 = 2*x - 3*q + 20, -50*x - 24 = -46*x - 4*q. Solve 12/17*w**3 - 2/17*w**5 + 12/17 + 4/17*w**4 - 10/17*w - 16/17*w**x = 0.
-2, -1, 1, 3
Let i(b) be the second derivative of 0*b**2 + 0*b**5 + 0*b**3 - 32*b + 0 - 11/6*b**6 + 0*b**4 + 5/42*b**7. Factor i(r).
5*r**4*(r - 11)
Let u(q) be the second derivative of -1/105*q**6 + 0*q**2 + 4/21*q**3 - 11*q + 0*q**4 - 3/70*q**5 + 0. Factor u(y).
-2*y*(y - 1)*(y + 2)**2/7
Let f = -731570/19 - -38504. Factor -4/19*t - 2/19*t**2 + f.
-2*(t - 1)*(t + 3)/19
Let w be (-66)/(-495)*(105 - 0). Determine v so that 22/5*v**2 + 10 + w*v + 2/5*v**3 = 0.
-5, -1
Let x(v) be the first derivative of v**6/15 - 8*v**5/5 + 32*v**4/3 - 39*v - 3. Let w(s) be the first derivative of x(s). Factor w(i).
2*i**2*(i - 8)**2
Let f be 17/4 - 30/120. Let d(j) = -3*j**3 - j**2 - 3*j**3 + 3*j + 1 + 3*j. Let k(z) = -z**3 + z. Let c(g) = f*d(g) - 22*k(g). Factor c(n).
-2*(n - 1)*(n + 1)*(n + 2)
Factor 43*p**2 + 52*p**2 - 20*p**3 + p + 24*p.
-5*p*(p - 5)*(4*p + 1)
Let y(p) be the first derivative of -25*p**5 - 1025*p**4/4 - 40*p**3 + 310*p**2 - 160*p - 78. Let y(i) = 0. What is i?
-8, -1, 2/5
Let x be (6 - (-21)/(-2))/(-3). Let d(z) be the first derivative of -4*z**2 + 2/5*z**5 + 0*z + x*z**4 - 2 + 0*z**3. Suppose d(y) = 0. Calculate y.
-2, 0, 1
Suppose -m**2 + 0 - 5/6*m**3 - 1/6*m**4 + 0*m = 0. Calculate m.
-3, -2, 0
Factor 2/5*s**2 + 8 - 18/5*s.
2*(s - 5)*(s - 4)/5
Let j(c) = -11*c**2 - 66*c - 42. Let x(h) = -2*h**2 - 11*h - 8. Let u(m) = -6*j(m) + 34*x(m). Factor u(o).
-2*(o - 10)*(o - 1)
Let m = -13271 - -13274. Solve 2/3*q**2 - 2/3*q**4 + 0 + 4/3*q**m - 4/3*q = 0 for q.
-1, 0, 1, 2
Let t = 6599/3 - 2199. Factor t*d**2 + 5/6*d + 1/3 + 1/6*d**3.
(d + 1)**2*(d + 2)/6
Let h be -1*(0 - 38) + -4. Suppose -2 = -6*k + h. Factor 9*p + 3*p**2 + k - p**2 + p**2.
3*(p + 1)*(p + 2)
Suppose -7 = -12*v + 17. Let h be -2*(-6 + v)*4/14. Determine j so that 12/7*j**2 + 6/7 + 0*j**3 - h*j - 2/7*j**4 = 0.
-3, 1
Find z, given that 53/4*z - 5/2 - 47/2*z**2 + 16*z**3 - 5/4*z**5 - 2*z**4 = 0.
-5, 2/5, 1
Suppose -20 = -5*p, -c + 6*p = p + 19. Let q be (c - (-9)/(-3))/(-1). Solve k**3 + 3*k - q*k**2 - 9 + 6*k**2 + k**2 = 0 for k.
-3, 1
Let a(m) = m**2 + 23*m + 25. Let q(o) = 4*o**2 + 68*o + 74. Let t(c) = -20*a(c) + 6*q(c). Factor t(z).
4*(z - 14)*(z + 1)
Suppose 3*j + 4*l - 16 = 0, -5*l + 1 + 19 = -2*j. Let x be -3*49/(-63)*(-8)/(-14). Factor 2/3*c**3 + 0 + j*c - 2/3*c**4 + x*c**2.
-2*c**2*(c - 2)*(c + 1)/3
Let f(s) be the second derivative of -5*s**4/12 + 235*s**3/6 + 91*s + 1. Factor f(l).
-5*l*(l - 47)
Let f(v) be the first derivative of 0*v - 1/9*v**6 - 2/15*v**5 + 0*v**2 + 1/6*v**4 - 7 + 2/9*v**3. Factor f(o).
-2*o**2*(o - 1)*(o + 1)**2/3
Factor a**2 - 181*a + 91*a + 11 + 102*a.
(a + 1)*(a + 11)
Let v = 164/7 + -436/21. Let x = -39/118 - -1061/354. Factor v*p - x - 2/3*p**2.
-2*(p - 2)**2/3
Let k(b) be the second derivative of 0*b**4 + 0*b**3 + 1/30*b**5 + 1/126*b**7 + 0*b**2 - 1/30*b**6 + 40*b + 0. Let k(o) = 0. Calculate o.
0, 1, 2
Let u be 35/10*(-24)/(-14). Let z be (-5)/4*u*(-3)/15. Let -z*t - 9/4 - 1/4*t**2 = 0. What is t?
-3
Let v be (4 - (-3 - -1)) + (-28755)/(-675). Let w = -4206 - -21354/5. Factor v + 3/5*k**4 + 36/5*k**3 + 162/5*k**2 + w*k.
3*(k + 3)**4/5
Let k be (20/12)/((-1)/(-30) + 112/140). Factor k*z**2 + 13/2*z**3 + 0 - 2*z + 5/2*z**4.
z*(z + 1)*(z + 2)*(5*z - 2)/2
Let d(o) be the first derivative of 0*o**3 + 0*o**2 - 1/50*o**5 + 25 + 0*o - 1/60*o**6 + 0*o**4. Determine l so that d(l) = 0.
-1, 0
Let c(j) = -j**3 + 10*j**2 - 5*j - 33. Let m be c(9). Suppose 6*t - t + 5 = -5*u, -15 = -m*t + 3*u. Find a, given that 1 - 1/2*a - 1/2*a**t = 0.
-2, 1
Let y(h) = h**3 + 8*h**2 + 6*h - 1. Let s be y(-7). Suppose -4*r = -2*r - s. Factor 10*x**4 + 13*x**5 - 8*x**3 - 4*x**r - x + 4*x**2 + 2*x**2 - 16*x**5.
-x*(x - 1)**3*(3*x - 1)
Let p = 30/11 - 169/66. Let k(v) be the second derivative of -2*v**2 - p*v**4 + 0 - v**3 + 4*v. Find t, given that k(t) = 0.
-2, -1
Let s(y) = 2*y**4 - 33*y**5 - 5*y**3 + 32*y**5 - y**2 - 11*y**4 - 6*y**3. Let k(t) = t**5 + 18*t**4 + 23*t**3 + t**2. Let j(a) = -2*k(a) - 5*s(a). Factor j(d).
3*d**2*(d + 1)**3
Let v(o) be the second derivative of o**6/12 - 11*o**5/20 - 13*o**4/6 + 2*o**3 + o - 18. Factor v(d).
d*(d - 6)*(d + 2)*(5*d - 2)/2
Let c be 8/3 + 0/2. Suppose 4*w = -12*q + 9*q - 9, 3*w - 9 = 3*q. Factor 0 - 4/3*f**4 - c*f**2 + w*f - 4*f**3.
-4*f**2*(f + 1)*(f + 2)/3
Solve -8/3*a + 17/3*a**2 + a**3 - 4 = 0 for a.
-6, -2/3, 1
Factor g**2 - 20*g - 6*g**2 - g**2 + g**2.
-5*g*(g + 4)
Let l be 13*(1 + 1 + (-3 - -2)). Let -16*r**2 + l*r + 2*r**3 + 6 + 6*r**3 + 0*r**2 - 11*r**3 = 0. Calculate r.
-6, -1/3, 1
Let u(h) = 17*h**4 + 44*h**3 + 28*h**2 - 8. Let w(j) = 6*j**4 + 15*j**3 + 9*j**2 - 3. Let x(m) = 3*u(m) - 8*w(m). Factor x(t).
3*t**2*(t + 2)**2
Let h(l) = -2*l**3 - 22*l**2 + 193*l - 363. Let g(m) = -m**3 - 23*m**2 + 191*m - 363. Let y(c) = 3*g(c) - 2*h(c). Solve y(z) = 0.
3, 11
Let w = -93 + 254. Let r = w + -1447/9. Factor 0 + 2/9*y**5 + 2/9*y**4 + 0*y - 2/9*y**3 - r*y**2.
2*y**2*(y - 1)*(y + 1)**2/9
Let z(l) be the first derivative of -4*l**5/5 - l**4 + 4*l**3 + 10*l**2 + 8*l + 210. Factor z(w).
-4*(w - 2)*(w + 1)**3
What is y in 327 - 3*y**4 + 9*y**3 + 0*y**3 - 12*y - 9*y**2 + 3*y**3 - 315 = 0?
-1, 1, 2
Let k = -140 - -148. Solve -4*m**5 + 8*m**4 - k*m**2 - 7*m**3 + 5*m**3 + 6*m**3 = 0.
-1, 0, 1, 2
Let y(d) be the second derivative of 5*d**4/6 - 11*d**3/3 + 8*d**2 + 28*d. Let h(j) = 9*j**2 - 21*j + 16. Let x(i) = -6*h(i) + 5*y(i). Factor x(a).
-4*(a - 2)**2
Let r(k) = k**3 - 5*k**2 + 6*k - 4. Let a be r(4). Suppose -3*b + a = -2. Solve 23*u**4 - 22*u**4 - 4*u**b + 3*u**2 = 0 for u.
-1, 0, 1
Let o be -2*42/28 + 5. Factor 0 + 0*m + m**3 - 2/3*m**o - 1/3*m**4.
-m**2*(m - 2)*(m - 1)/3
Suppose 64 = -v + 76. Suppose 20*k - 24*k = -v. Find l such that -1/6*l + 2/3*l**4 - 1/2*l**2 + 0 + 0*l**k = 0.
-1/2, 0, 1
Factor 2288 + 5*i**2 - 4452 + 95*i + 2584.
5*(i + 7)*(i + 12)
What is j in -156/7*j - 169/7 - 36/7*j**2 = 0?
-13/6
Find o such that 0 + 0*o - 5/6*o**2 + 1/6*o**3 = 0.
0, 5
Let a(r) be the first derivative of r**5/4 + 35*r**4/12 + 35*r**3/3 + 20*r**2 + 5*r - 11. Let v(i) be the first derivative of a(i). Let v(l) = 0. Calculate l.
-4, -2, -1
Let a(g) be the third derivative of -343*g**7/120 + 2303*g**6/240 + 97*g**5/60 + g**4/12 - 468*g**2. Factor a(o).
-o*(o - 2)*(49*o + 2)**2/4
Let b = -1018/9 + 113. Let x = b + 4/9. Let 0 + 0*l**3 - x*l**4 + 0*l + 1/3*l**2 = 0. What is l?
-1, 0, 1
Let l = 75 - 72. Suppose l = 2*d - 1. Factor 1/5 + 0*g - 1/5*g**d.
-(g - 1)*(g + 1)/5
Suppose -5*w = -3*d - 327, 277 - 84 = 3*w - 5*d. Factor -w*l**2 + 72 - 7*l**4 - 4*l + 16*l + 3*l**5 + 13*l**4 - 27*l**3.
3*(l - 3)*(l - 1)*(l + 2)**3
Suppose -4 = 4*a - 3*j - 25, -a = -2*j - 9. Suppose -a*s + 3*g = g - 5, 3*s - 13 = -2*g. Factor -2/9*d**2 - 2/9*d**s + 0*d + 0.
-2*d**2*(d + 1)/9
Let o be (11 + 