= -2*c**4 + 4*c**3 - 2*c**2. Let p(m) = -4*q(m) - 5*z(m). Factor p(k).
-2*k**2*(k - 1)**2
Let f be (-3)/(((-36)/(-10))/(-6)). Determine m so that 0 + 0*m + 9/2*m**f - 3/2*m**2 + 3/2*m**4 - 9/2*m**3 = 0.
-1, -1/3, 0, 1
Let x = -22 + 25. Factor 0*v**2 + 0 + 1/2*v**x - 1/2*v.
v*(v - 1)*(v + 1)/2
Find z such that 45/8*z**3 + 1/4 + 17/8*z + 6*z**2 = 0.
-2/5, -1/3
Suppose -s - 2*x + 3 + 6 = 0, 4*s + 3*x - 21 = 0. Suppose 3*c = -s*i + i + 5, 14 = 2*c - 4*i. Factor -3*j**3 - 4 + 2*j**3 + c*j + 0 + 2.
-(j - 1)**2*(j + 2)
Let o = 28 + -24. Let u(g) be the first derivative of 0*g**3 + 3*g**2 - 4*g - 1/2*g**4 - o. Determine p so that u(p) = 0.
-2, 1
Let t(f) be the third derivative of f**5/90 + f**4/36 - 2*f**3/9 + 7*f**2. Factor t(v).
2*(v - 1)*(v + 2)/3
Let m = 70 + -346/5. Suppose 2*l + 2*a = -2*l + 2, -l - 10 = 4*a. Factor 0*h**l - 4/5*h + m*h**3 - 2/5 + 2/5*h**4.
2*(h - 1)*(h + 1)**3/5
Let s(c) be the second derivative of 1/30*c**4 + 0 + 2*c - 2/5*c**2 + 1/15*c**3. Factor s(y).
2*(y - 1)*(y + 2)/5
Suppose 4*g - 2*g = -m + 4, m = -5*g + 13. Let v(p) be the first derivative of 0*p**2 - g + 2/21*p**3 + 0*p. Let v(z) = 0. Calculate z.
0
Factor -4/5*x**2 - 1/5*x**3 - x - 2/5.
-(x + 1)**2*(x + 2)/5
Let d(r) be the second derivative of 2*r**7/21 - 38*r**6/15 + 106*r**5/5 - 70*r**4/3 - 1078*r**3/3 - 686*r**2 + 13*r. Factor d(c).
4*(c - 7)**3*(c + 1)**2
Let d(n) = 9*n**4 - n**3 - 29*n**2. Let w(b) = -8*b**4 + 28*b**2. Let f(o) = -4*d(o) - 5*w(o). Factor f(r).
4*r**2*(r - 2)*(r + 3)
Suppose 5 = -5*j + 5*a, 0 = 5*j + 5*a - 33 - 2. Determine v, given that -2/3*v**2 + 0*v + v**j + 0*v**4 - 1/3*v**5 + 0 = 0.
-2, 0, 1
Let p = -24 + 74/3. Factor -h**3 + 1/3*h + 4/3*h**2 - p.
-(h - 1)**2*(3*h + 2)/3
Suppose 4*x - 7 = 1. Let y(c) = -4*c**2 - 2*c - 4*c**x - 4*c**3 - 2 + 4*c**2. Let w(v) = 5*v**3 + 4*v**2 + 2*v + 3. Let d(t) = 2*w(t) + 3*y(t). Solve d(f) = 0.
-1, 0
Let m(k) be the second derivative of -5*k**7/42 - 7*k**6/6 - 19*k**5/4 - 125*k**4/12 - 40*k**3/3 - 10*k**2 - 39*k. Factor m(b).
-5*(b + 1)**3*(b + 2)**2
Let y(c) = -c**3 - c - 1. Let d(b) = 49*b**4 + 78*b**3 + 32*b**2 + 5*b + 1. Let a(q) = -3*d(q) - 3*y(q). Factor a(f).
-3*f*(f + 1)*(7*f + 2)**2
Let v(p) be the first derivative of 0*p + 2 + 1/2*p**4 + 5/6*p**3 + 1/4*p**2. Find n, given that v(n) = 0.
-1, -1/4, 0
Let q(h) = h**3 + 15*h**2 - 16*h. Let t be q(-16). Solve 1/3*y**2 + 1/3*y + t = 0.
-1, 0
Factor -38*x - 35*x + 53*x - 16 - 4*x**2.
-4*(x + 1)*(x + 4)
Suppose -5*k = 3*m - 15, 15 = 4*k + 4*m + 3. Factor 14/9*h**4 + 10/3*h**2 + 38/9*h**k + 2/9*h - 4/9.
2*(h + 1)**3*(7*h - 2)/9
Solve -5 + 47*b**2 + 162*b**3 + 80*b - 156*b**2 - 3 - 125*b**2 = 0.
2/9, 1
Suppose 2*d - 2 = d. Let f be 10/4 + 2/(-4). Find a, given that 0*a**d + 3*a**f - 2*a**2 - a**3 = 0.
0, 1
Let v(d) be the second derivative of -9*d + 1/25*d**5 + 0 + 0*d**2 - 3/20*d**4 + 1/15*d**3. What is w in v(w) = 0?
0, 1/4, 2
Let n(w) be the second derivative of w**5/90 - w**4/18 - w**3/3 - 5*w**2/9 - w - 2. Find z, given that n(z) = 0.
-1, 5
Factor 2/15 + 2/5*k + 4/15*k**2.
2*(k + 1)*(2*k + 1)/15
Let f(x) be the second derivative of x**4/24 + x**3/12 - 3*x**2/2 + 8*x. Factor f(p).
(p - 2)*(p + 3)/2
Factor -2/3*a**3 + a + 0 - 5/3*a**2.
-a*(a + 3)*(2*a - 1)/3
Let h be ((-2)/5)/(5/(-25)). Solve 0*d**3 + 4*d + 5*d**h - d**3 - 3*d**3 - 10*d**4 + 5*d**2 = 0.
-1, -2/5, 0, 1
Let p(w) be the second derivative of 8*w**6/75 + 12*w**5/25 + 9*w**4/10 + 9*w**3/10 - 3*w**2/2 + 4*w. Let g(b) be the first derivative of p(b). Solve g(y) = 0.
-3/4
Suppose 3*l - 2*a - 95 = 0, 2*a = -2*l + 6*a + 74. Let y = -57/2 + l. Factor -y*s**3 - 1/2*s**2 + 0 + 0*s + 1/2*s**5 + 1/2*s**4.
s**2*(s - 1)*(s + 1)**2/2
Let t = -39/8 + 211/40. Factor 2/5*q**2 + 0 - t*q**3 + 4/5*q.
-2*q*(q - 2)*(q + 1)/5
Suppose -j = -5*h - 18 - 6, -5*h - 20 = 0. Find b, given that 0 + 1/4*b**5 - 1/4*b + 1/2*b**2 - 1/2*b**j + 0*b**3 = 0.
-1, 0, 1
Let f be ((-2)/(-13))/1 - (-8664)/1482. Let g(b) = -b**2 + 8*b - 5. Let t be g(7). Suppose -f*h + 6 + 3/2*h**t = 0. Calculate h.
2
Let a(t) be the third derivative of -1/6*t**3 + 1/30*t**5 - 1/210*t**7 - 1/120*t**6 + 0 + t**2 + 1/672*t**8 + 0*t + 1/48*t**4. Let a(h) = 0. Calculate h.
-1, 1, 2
Let j(x) = -x**2 + 8*x - 10. Let n be j(5). Suppose 2*m - 6 = 3*o + 6, -m = -o - n. Find u such that -10*u**5 + 24/5*u**2 + 4/5*u - m*u**4 + 0 + 37/5*u**3 = 0.
-1/2, -2/5, 0, 1
Suppose 0*x - 5*r = 2*x - 109, -4*x + 5*r + 233 = 0. Factor 15*n**4 + 12 + 29*n**2 + 46*n**2 + 3*n**5 + 6*n**4 + x*n**3 + 48*n.
3*(n + 1)**3*(n + 2)**2
Let t(y) be the first derivative of 2*y**3/51 - 7*y**2/17 + 20*y/17 + 21. Factor t(r).
2*(r - 5)*(r - 2)/17
Let h(l) = l**5 - 15*l**4 - 18*l**3 + 3*l**2. Let q(u) = u**5 - u**4 + u**2. Let r(w) = -2*h(w) + 6*q(w). Find m such that r(m) = 0.
-3, 0
Determine l, given that -27 + 10*l + 37 + 5*l + 0*l**2 + 5*l**2 = 0.
-2, -1
Let r be (-32)/24*(-1 + -2). Let f(x) be the first derivative of 0*x**5 + 2 + 0*x**3 - 1/9*x**r + 1/9*x**2 + 1/27*x**6 + 0*x. What is u in f(u) = 0?
-1, 0, 1
Factor 2 - 6*b**2 + b + b**4 + 3*b**2 + 4*b**3 - 5*b**3.
(b - 2)*(b - 1)*(b + 1)**2
Let l(z) be the first derivative of 0*z**4 - 2/15*z**5 - 1/18*z**6 + 1/6*z**2 + 5 + 0*z + 2/9*z**3. What is b in l(b) = 0?
-1, 0, 1
Let u(y) be the second derivative of -y**6/240 - 2*y**2 - y. Let r(f) be the first derivative of u(f). What is g in r(g) = 0?
0
Suppose -2*m + 3*y - 2*y = 0, 3*y = -3*m + 18. Factor -1/3*w**m - 1/6*w + 1/6*w**3 + 1/3.
(w - 2)*(w - 1)*(w + 1)/6
Let j be (-4 - 88/(-20))*10/16. Find k, given that 0 + j*k**2 - 1/4*k = 0.
0, 1
Suppose -b = 2*o - 40, 5*b - 3*o - 140 = -o. Suppose -3*u**2 + 0 - 6 + b*u - 39*u = 0. What is u?
-2, -1
Factor 26 + 0*p**2 + 3*p**3 - 29 - 3*p - p**2 + 4*p**2.
3*(p - 1)*(p + 1)**2
Let m = 159 - 156. Let 0 + 0*x**2 + 1/3*x**5 + 0*x**4 + 0*x - 1/3*x**m = 0. Calculate x.
-1, 0, 1
Let x(v) = -v**3 + v**2 + v. Let h(c) be the second derivative of c**5/5 - 2*c**4/3 - c**3/3 + 6*c. Let o(k) = h(k) + 6*x(k). Factor o(z).
-2*z*(z - 1)*(z + 2)
Let n(h) be the first derivative of -4 + 6/5*h**5 + 32/9*h**3 + 7/2*h**4 + 0*h + 4/3*h**2. Let n(v) = 0. Calculate v.
-1, -2/3, 0
Let b = 7 + -7. Solve 2/5*s**3 + b + 0*s**2 + 0*s - 2/5*s**5 + 0*s**4 = 0 for s.
-1, 0, 1
Let r(f) be the third derivative of 0 + 1/540*f**6 - 1/90*f**5 + 2/27*f**3 - 2*f**2 + 0*f - 1/108*f**4 + 1/945*f**7. Factor r(z).
2*(z - 1)**2*(z + 1)*(z + 2)/9
Let x = 7 - 4. Let g(d) be the first derivative of 2 - 2/21*d**x + 1/7*d**2 + 4/7*d. Determine p so that g(p) = 0.
-1, 2
Suppose 2*n = -l - 2, 0*n = 3*n + 12. Determine u, given that 0*u + l*u - 2*u**2 - 4*u = 0.
0, 1
Factor 3/2*k**3 - 3/2*k**2 + 1/2*k - 1/2*k**4 + 0.
-k*(k - 1)**3/2
Suppose 2*l + 0 = -r + 7, -3*r + l = -7. Factor -2*w**3 - 2 - r*w**4 + 2 + w**4.
-2*w**3*(w + 1)
Let g(y) be the second derivative of y**4/9 - 4*y**3/9 + 2*y**2/3 - 5*y. Factor g(d).
4*(d - 1)**2/3
Factor 4/7 + 2/7*y**2 - 6/7*y.
2*(y - 2)*(y - 1)/7
Let q be 22/176 + (-22)/240. Let s(i) be the first derivative of 1/12*i**4 + q*i**5 + 0*i**2 + 1/18*i**3 + 0*i + 1. Solve s(r) = 0.
-1, 0
Let u(h) = -6*h**4 - 2*h**3 + 3*h**2 + 2*h + 3. Let p(m) be the third derivative of m**5/60 - m**3/6 - 2*m**2. Let g(i) = 3*p(i) + u(i). Factor g(v).
-2*v*(v - 1)*(v + 1)*(3*v + 1)
Factor -1/2*k**3 - 2*k**2 - 3/2*k + 0.
-k*(k + 1)*(k + 3)/2
Let g(d) be the second derivative of -d**7/1260 + d**5/60 - d**4/3 + 5*d. Let u(t) be the third derivative of g(t). Factor u(c).
-2*(c - 1)*(c + 1)
Factor -3/7*f**4 - 6/7*f + 0 - 15/7*f**2 - 12/7*f**3.
-3*f*(f + 1)**2*(f + 2)/7
Factor 0 + v**4 + 1/3*v**5 - 5/3*v**3 - v**2 + 4/3*v.
v*(v - 1)**2*(v + 1)*(v + 4)/3
Let j(o) be the third derivative of o**8/672 - o**6/240 - 7*o**2. Determine m, given that j(m) = 0.
-1, 0, 1
Suppose -5*j - 5*b + 7 = -8, 0 = 3*j - b - 13. Let -4*u - 22*u**2 + 0*u - 13*u + j + 82*u**3 + 56*u**5 + 138*u**4 - u = 0. Calculate u.
-1, 1/4, 2/7
Let d(u) be the second derivative of -1/6*u**4 + 2*u + 0 - 9*u**2 - 2*u**3. Factor d(g).
-2*(g + 3)**2
Solve -23*k**2 + 20*k**2 - 2*k**3 - k**3 + 8*k - 2*k = 0.
-2, 0, 1
Factor 0 + 40/7*z**4 + 4/7*z**5 + 160/7*z**2 + 64/7*z + 132/7*z**3.
4*z*(z + 1)**2*(z + 4)**2/7
Let p(x) be the second derivative of 1/40*x**5 + 1/60*x**6 - 1/12*x**3 + 0 - 2*x - 1/24*x**4 + 0*x**2. Factor p(f).
f*(f - 1)*