 k + 4*w - 22 = 0. Factor -k*z**2 + z**2 + 5*z - 18 - 6*z - 11*z.
-2*(z + 3)**2
Let l = 8 + -4. Solve u + 0*u - l*u**2 + 5*u**2 + 0*u**2 = 0 for u.
-1, 0
Factor -1/2*l**3 - 6*l**2 - 24*l - 32.
-(l + 4)**3/2
Suppose 3*q + 48 = 5*q. Factor q*y**3 + 7*y - 12*y**2 - y + 12*y**3 - 15*y**2 - 15*y**4.
-3*y*(y - 1)**2*(5*y - 2)
Let c(h) be the third derivative of h**6/160 - h**4/32 - 14*h**2. Factor c(p).
3*p*(p - 1)*(p + 1)/4
Let h(b) be the second derivative of 1/63*b**7 + 0*b**3 - 1/9*b**6 - 2/9*b**4 + 0*b**2 + 0 - b + 4/15*b**5. Factor h(y).
2*y**2*(y - 2)**2*(y - 1)/3
Let i(p) be the first derivative of 0*p**3 + 0*p - 3 + 1/12*p**2 - 1/24*p**4. Factor i(q).
-q*(q - 1)*(q + 1)/6
Let u be (-1)/8*1*(30 + -32). Factor -1/2*z + u*z**3 + 0 + 1/4*z**2.
z*(z - 1)*(z + 2)/4
Factor 0*y**4 + 0*y**2 + 0*y**3 + 0*y - 2/9*y**5 + 0.
-2*y**5/9
Let s(v) be the third derivative of v**8/80640 + v**7/20160 - v**6/1440 - v**5/20 + 4*v**2. Let j(i) be the third derivative of s(i). Factor j(k).
(k - 1)*(k + 2)/4
Factor -5*g**2 + 61*g + 52*g - 75 - 33*g.
-5*(g - 15)*(g - 1)
Factor 0 + 1/2*b**3 + 2*b + 2*b**2.
b*(b + 2)**2/2
Let v = -4 + 8. Let r be (-27)/(-72)*v/6. Factor 0 - 1/4*z**4 + 1/4*z**3 + 0*z + r*z**2 - 1/4*z**5.
-z**2*(z - 1)*(z + 1)**2/4
Let a(j) be the second derivative of j**4/3 - 10*j**3/3 + 8*j**2 - 22*j. Let a(h) = 0. Calculate h.
1, 4
Let c(f) = f - 4. Let w be c(7). Let 2*u - 63*u**4 - 26*u - 6 - 4*u**3 - 6 + 28*u**w + 75*u**2 = 0. What is u?
-1, -2/7, 2/3, 1
Let a(r) be the third derivative of -r**7/1995 + r**6/570 + r**5/570 - r**4/114 + 14*r**2. Find b such that a(b) = 0.
-1, 0, 1, 2
Let o(y) be the second derivative of -3*y**6/65 + 3*y**5/13 - 14*y**4/39 + 8*y**3/39 + 22*y. Solve o(p) = 0.
0, 2/3, 2
Let x be 6/21 - ((-12)/56)/1. Factor -1/2*z**3 + 1/2*z**5 + x*z**2 - 1/2*z**4 + 0 + 0*z.
z**2*(z - 1)**2*(z + 1)/2
Let u(x) be the first derivative of 2 - x**2 + 2/9*x**3 - 4/3*x + 2/15*x**5 + 1/2*x**4. Factor u(m).
2*(m - 1)*(m + 1)**2*(m + 2)/3
Let c(k) be the second derivative of 2*k**7/21 - 4*k**6/15 - k**5/5 + 2*k**4/3 - 3*k. Determine t so that c(t) = 0.
-1, 0, 1, 2
Suppose -4*y + 33 = 2*a - 35, -99 = -5*y + a. Let s = 9 + y. Solve -2*h**4 - s*h**4 - 3*h**2 + 6*h**4 - 24*h**3 - 24*h**4 = 0 for h.
-1/4, 0
Let v(a) be the third derivative of -a**7/105 + a**6/15 - a**5/10 + 23*a**2. Find d such that v(d) = 0.
0, 1, 3
Let i(g) be the second derivative of g**5/5 - 2*g**4/3 - 2*g**3/3 + 4*g**2 - 16*g. Solve i(n) = 0 for n.
-1, 1, 2
Let m(t) be the third derivative of t**8/2520 + t**7/630 - t**6/540 - t**5/90 - 5*t**3/6 - 8*t**2. Let g(n) be the first derivative of m(n). Factor g(p).
2*p*(p - 1)*(p + 1)*(p + 2)/3
Let x(d) be the second derivative of 7*d**7/12 + 56*d**6/15 + 39*d**5/5 + 16*d**4/3 + 4*d**3/3 - 3*d + 18. Factor x(m).
m*(m + 2)**2*(7*m + 2)**2/2
Let p(f) = f**2 + 7*f + 8. Let v be p(-6). Suppose -2*x + 6 = -0*x. Find h such that v*h - 2*h**x - 5*h**2 + 5*h**2 = 0.
-1, 0, 1
Suppose 1 = d - 2, -3*d + 11 = h. Factor -6*k**2 + 5*k**4 - h*k**4 + 3*k**5 + 5*k**4 - 2*k**4 - 3*k.
3*k*(k - 1)*(k + 1)**3
Factor 6*c**2 - 10*c**4 - 4 + 2*c**2 + 6*c**4.
-4*(c - 1)**2*(c + 1)**2
Let c = -370 - -1856/5. Factor 0 + c*o - 6/5*o**3 - 3/5*o**2 + 3/5*o**4.
3*o*(o - 2)*(o - 1)*(o + 1)/5
Suppose -4*f + 4*a + 9 = -3, -4*f - 5*a = -12. Solve 2/11 + 4/11*t**f - 2/11*t**4 + 0*t**2 - 4/11*t = 0 for t.
-1, 1
Suppose -5*z - 14 = -4. Let m(a) = -a**3 - 2*a**2 - 3*a - 2. Let g be m(z). Let 7/4*c**2 - 7/4*c**g + c**3 - 3/2*c**5 + 0 + 1/2*c = 0. Calculate c.
-1, -2/3, -1/2, 0, 1
Let t be (35/(-245))/((-6)/14). Determine f, given that 0*f**2 + 1/6*f**3 - 1/2*f - t = 0.
-1, 2
Factor -v**2 + 1/3*v**3 + 1/3*v**4 - 1/3*v + 2/3.
(v - 1)**2*(v + 1)*(v + 2)/3
Determine u so that -u**4 + 94*u**2 + u**3 + 0*u**4 - 5*u - 91*u**2 - 2 + 4*u = 0.
-1, 1, 2
Suppose u - 3*u = -4. Factor 5*a**3 + a**4 - 4*a**3 - a**2 - a**u.
a**2*(a - 1)*(a + 2)
Let q(v) = v**2 + 4*v + 8. Let g(y) = 1. Let r(w) = -4*g(w) + q(w). Solve r(a) = 0 for a.
-2
Let c(r) be the first derivative of r**4/24 - r**3/3 + r**2 - r - 4. Let i(w) be the first derivative of c(w). Determine k so that i(k) = 0.
2
Let j(l) be the second derivative of 8*l**3 - 2*l - 73/10*l**5 - 7/5*l**6 + 0 + 4*l**2 + 17/6*l**4 + 7/3*l**7. Suppose j(q) = 0. Calculate q.
-1, -2/7, 1
Find h, given that -1/3*h - 1/3*h**2 + 0 = 0.
-1, 0
Let c(q) be the first derivative of q**6/120 + q**5/20 + 4*q**3/3 - 4. Let z(d) be the third derivative of c(d). Factor z(p).
3*p*(p + 2)
Let d(a) be the second derivative of a**6/150 - a**4/20 - a**3/15 - 4*a. Suppose d(i) = 0. What is i?
-1, 0, 2
Let k = -7 - -15. Let o = 13 - k. Solve 1/2*a**o + 0*a + 0 + 3/2*a**3 - 1/2*a**2 - 3/2*a**4 = 0 for a.
0, 1
Let l(c) = c - 5. Let y be l(7). Suppose -3*q = 2*t - 2, -3*q + t + 4 = y*t. Factor -2*r**3 + q - 4*r**2 + 2*r + 3*r**3 - 3*r**3 + 2.
-2*(r - 1)*(r + 1)*(r + 2)
Suppose -20 = -3*k - 2*k. Let t = 4 - k. Factor -2/11*m**3 + 8/11 + t*m - 6/11*m**2.
-2*(m - 1)*(m + 2)**2/11
Let -20/7*b**3 - 128/7 + 128/7*b - 4/7*b**4 + 24/7*b**2 = 0. What is b?
-4, 1, 2
Let r(p) be the third derivative of p**5/15 + p**4 + 10*p**3/3 - 18*p**2. Factor r(d).
4*(d + 1)*(d + 5)
Let z(v) = -v**3 + 74*v**2 - 5*v + 372. Let c be z(74). Determine u so that -2/3*u + 1/3 + 1/3*u**c = 0.
1
Let x(z) = z**2 + 8*z - 18. Let y be x(-10). Factor 1/2*v + 1/4*v**y + 1/4.
(v + 1)**2/4
Let y(d) = 2*d**3 + 5*d**2 + 4*d - 5. Let s be y(-4). Let f = 211/3 + s. Factor -2/3 - f*j - 2/3*j**2.
-2*(j + 1)**2/3
Let n(j) = j**3. Let w(k) = 4*k**5 - 24*k**3 + 4*k. Let p(f) = -16*n(f) - w(f). Factor p(v).
-4*v*(v - 1)**2*(v + 1)**2
Determine k, given that 2*k**3 - k**2 + 4*k**5 - 223 + 4*k**4 + 3*k**4 + 223 = 0.
-1, 0, 1/4
Let h = 27 - 24. Let l = -4 - -6. Factor -l*q**4 - 14/5*q**h + 0*q + 0 - 4/5*q**2.
-2*q**2*(q + 1)*(5*q + 2)/5
Suppose -4*j - 4*w = 0, -2*j - 12 - 3 = -3*w. Let z = j + 5. Factor 1/3 + 0*l - 1/3*l**z.
-(l - 1)*(l + 1)/3
Suppose -4*y - 385 = -49. Let p be (-80)/y - 2/7. Factor -2/3*h**2 - 2/3*h + 2/3 + p*h**3.
2*(h - 1)**2*(h + 1)/3
Let o(x) be the second derivative of -x**7/14 - 3*x**6/5 - 33*x**5/20 - x**4/2 + 6*x**3 + 12*x**2 + 12*x + 1. Suppose o(t) = 0. What is t?
-2, -1, 1
Let k(l) = -l**3 + 12*l**2 + 11*l + 29. Let v be k(13). Factor -24/5*h**4 + 6/5*h**v + 0*h + 0 + 14/5*h**5 + 4/5*h**2.
2*h**2*(h - 1)**2*(7*h + 2)/5
Let z(y) = 13*y**4 + 8*y**3 - 15*y**2 - 8*y. Let g(v) = -25*v**4 - 15*v**3 + 30*v**2 + 15*v. Let k(u) = -2*g(u) - 5*z(u). Factor k(q).
-5*q*(q - 1)*(q + 1)*(3*q + 2)
Factor 14/11*w**2 - 2/11*w**4 + 0 + 0*w + 12/11*w**3.
-2*w**2*(w - 7)*(w + 1)/11
Suppose -84*c + 57*c + 54 = 0. What is z in 1/3 + z**c + 4/3*z = 0?
-1, -1/3
Let d(s) be the third derivative of -2*s**7/315 - s**6/30 + 6*s**2. What is a in d(a) = 0?
-3, 0
Let o be (45 + -46)*4/(-10). Let -o*k**4 + 0 - 6/5*k**3 + 0*k - 4/5*k**2 = 0. What is k?
-2, -1, 0
Let p be 7/10*6 - 4. Let b(t) be the third derivative of 0 + 0*t - p*t**5 - 3*t**2 + 1/15*t**6 - 1/3*t**3 - 1/105*t**7 + 1/3*t**4. Factor b(h).
-2*(h - 1)**4
Let q(x) be the third derivative of -x**5/60 - x**4/12 + x**3/2 + 19*x**2. Factor q(y).
-(y - 1)*(y + 3)
Let o(a) be the second derivative of -a**4/6 + a**3/3 + 5*a. Solve o(t) = 0.
0, 1
Suppose -8/7*i - 2/7*i**2 - 8/7 = 0. What is i?
-2
Let f(q) be the second derivative of q**9/25200 - q**7/4200 + q**4/12 + 2*q. Let t(a) be the third derivative of f(a). Solve t(u) = 0.
-1, 0, 1
Let q(j) = -j**3 - 5*j**2 + 11*j. Let c(h) = 2*h**3 + 16*h**2 - 32*h. Let w(i) = 3*c(i) + 8*q(i). Factor w(k).
-2*k*(k - 2)**2
Let n(u) be the second derivative of -u**4/12 - u**3/3 + 13*u. Factor n(d).
-d*(d + 2)
Let l = -178 - -892/5. Let a(p) be the first derivative of -l*p**3 + 1 - 3/5*p**2 - 2/5*p - 1/10*p**4. Determine q so that a(q) = 0.
-1
Let u be (1 - (2 + -4))/1. Factor 0*d**4 - 12*d - d**4 + 9*d**u + 4*d**4.
3*d*(d - 1)*(d + 2)**2
Suppose -3*d = 2*g + 2, 5*d - g - 3 = -2. Suppose 0 = 2*v - 6, 3*r + 3*v - 9 - 6 = d. Solve -7/2*w + w**r + 3/2 = 0.
1/2, 3
Let t(j) be the second derivative of -j**8/20160 + j**6/720 + j**5/180 + j**4/4 - 5*j. Let k(d) be the third derivative of t(d). Suppose k(y) = 0. What is y?
-1, 2
Let p(g) be the first derivative of -16/5*g**2 + 2/15*g**6 + 4/5*g**5 - 16/5*g + 7/5*g**4 - 4/15*g**3 - 2. Let p(i