*j**5 + 1/12*j**4. Factor r(l).
(l - 1)**2*(4*l - 1)/3
Let y be (2/7)/(4/8). Factor -y*r**3 + 4/7*r**2 - 2/7 - 2/7*r**4 + 2/7*r**5 + 2/7*r.
2*(r - 1)**3*(r + 1)**2/7
Factor -4*x**4 + 5*x**2 + 5*x**4 + 2*x**3 + x**3 + x**3 + 2*x.
x*(x + 1)**2*(x + 2)
Let v(h) = -h**2 + 6*h - 4. Let p(y) = 5*y - 5. Let w(g) = -4*p(g) + 5*v(g). Suppose w(z) = 0. What is z?
0, 2
Find w, given that -24*w**3 + 16*w + 6*w**3 - w**3 - w**3 + 32*w**2 = 0.
-2/5, 0, 2
Suppose 16 + 8 = -3*d. Let h(i) = 2*i**5 - 2*i**4 - 8*i. Let a(r) = r**5 - r**4 - 5*r. Let q(f) = d*a(f) + 5*h(f). Factor q(g).
2*g**4*(g - 1)
Let x(d) be the first derivative of 1/5*d**5 - 3 - 1/6*d**6 - 1/3*d**3 + 3/4*d**4 + 0*d - d**2. Let x(i) = 0. What is i?
-1, 0, 1, 2
Let w(a) = -a**3 - 8*a**2 - 8*a - 2. Let g be w(-7). Suppose g*q + 3 - 13 = 0. Solve -1/4*y**q - 3/4*y - 1/2 = 0.
-2, -1
Determine i so that 2*i**2 + 21*i**5 + 21*i**4 - 18*i**5 + 45*i**3 + 25*i**2 = 0.
-3, -1, 0
Let b be 1*(-2 + 0 + 2). Let h(z) be the second derivative of 1/40*z**5 + 0*z**3 + 1/60*z**6 + b - 1/24*z**4 + z - 1/84*z**7 + 0*z**2. Factor h(u).
-u**2*(u - 1)**2*(u + 1)/2
Let i(q) be the second derivative of q**8/16800 - q**6/600 + q**5/150 - q**4/12 - 4*q. Let p(x) be the third derivative of i(x). Factor p(t).
2*(t - 1)**2*(t + 2)/5
Let q(p) be the third derivative of -p**5/20 + 3*p**4/8 - p**3 + 4*p**2. Factor q(c).
-3*(c - 2)*(c - 1)
Let h = 2 + 1. Suppose -l = h*l. Factor l + 2/3*i**2 + 0*i.
2*i**2/3
Let b be (-12)/(-8)*-8*4/(-72). Find r, given that 0 - b*r + 2/9*r**2 = 0.
0, 3
Factor 10/9*b**2 + 0 - 8/9*b - 2/9*b**3.
-2*b*(b - 4)*(b - 1)/9
Let u(x) be the second derivative of 1/5*x**4 - 9/50*x**5 + 2/25*x**6 - 1/10*x**3 - 1/70*x**7 + 0*x**2 - 2*x + 0. Determine f, given that u(f) = 0.
0, 1
Suppose 3 + 0 = 3*h. Let j be 4/6*3*h. Factor -x**5 + 7*x**j - 7*x**2 - x**3 - 2*x**4.
-x**3*(x + 1)**2
Suppose f + 3*g - 2*g = 5, -g - 13 = -5*f. Suppose 4 - 13 = -3*j. Factor 0*a**2 - a**j - f*a**5 - a**4 + 4*a**5 + a**2.
a**2*(a - 1)**2*(a + 1)
Let f(d) be the third derivative of 1/60*d**6 + 0 - d**2 + 0*d**4 - 1/60*d**5 + 0*d**3 - 1/210*d**7 + 0*d. Factor f(t).
-t**2*(t - 1)**2
Let t(y) = y**4 - 25*y**3 - 10*y**2 + 34*y + 6. Let j(b) = 3*b**4 - 50*b**3 - 20*b**2 + 67*b + 13. Let p(v) = -6*j(v) + 13*t(v). Solve p(z) = 0.
-4, -2, 0, 1
Let a(c) = 2 - c**4 - c**3 + c**2 + 2*c**3 - 3 + 2. Let f(x) = -12*x**4 - 2*x**3 - 2*x + 8. Let n(o) = 8*a(o) - f(o). Determine h, given that n(h) = 0.
-1, -1/2, 0
Suppose -5*j + m + 45 = -4*m, -26 = -4*j + 2*m. Let p be 6/5*10/j. Factor r + r**2 - p*r**2 + r.
-2*r*(r - 1)
Find p such that 6*p**4 + 8 - 6*p**3 + 46*p**2 + 32*p + 6*p**3 + 25*p**3 + 3*p**3 = 0.
-2, -1, -2/3
Let v(t) be the first derivative of 0*t + 1/25*t**5 + 0*t**4 - 7 + 0*t**3 + 0*t**2 + 1/10*t**6. Find p, given that v(p) = 0.
-1/3, 0
Let c(i) = -2*i + 18. Let w be c(8). Factor 0 - 1/2*k**5 + k**4 - 1/2*k**3 + 0*k + 0*k**w.
-k**3*(k - 1)**2/2
Let t(k) be the third derivative of k**7/6300 - k**6/450 + k**5/75 - k**4/8 + 4*k**2. Let n(f) be the second derivative of t(f). Factor n(p).
2*(p - 2)**2/5
Factor 2*s - 10*s + 4*s**4 + 10*s - 4*s**2 + 2*s - 4*s**3.
4*s*(s - 1)**2*(s + 1)
Let o(k) = k**3 + 2*k**3 + 5*k**2 - 4*k**3 + 2. Let p be o(5). Factor -2*n**p - 4/5 - 14/5*n.
-2*(n + 1)*(5*n + 2)/5
Factor -9*r - 3*r + 4*r**2 + 21*r**3 + 15*r**2 + 17*r**2.
3*r*(r + 2)*(7*r - 2)
Let a(u) = u**2 - 4. Let l be a(-2). Factor 2*b**3 - b**4 + 2*b + l*b - 11*b**3 + 7*b**3 + b**2.
-b*(b - 1)*(b + 1)*(b + 2)
Factor 352/3*t**3 + 20/3*t + 0 - 64/3*t**4 - 164/3*t**2.
-4*t*(t - 5)*(4*t - 1)**2/3
Let p(u) = 10*u**4 + 15*u**3 + 5*u**2 - 25*u - 10. Let s(k) = 5*k**4 + 8*k**3 + 2*k**2 - 12*k - 5. Let z(j) = -2*p(j) + 5*s(j). Find m such that z(m) = 0.
-1, 1
Factor 0*g + 0 - 6/7*g**2.
-6*g**2/7
Let j(o) = 2*o**3 + o**2 - 2*o + 1. Let f be j(1). Suppose 2*r + 1 = n, r + f*n - 22 = -2*n. Find u such that -4*u**3 + 5*u**3 - u**2 + 2*u**r = 0.
-1, 0
Let f = 61 - 37. Suppose -53*w**3 + 49*w**3 - 53*w + f*w**2 + 5*w + 32 = 0. What is w?
2
Let g(i) be the second derivative of i**7/360 + i**6/120 + i**5/180 + i**3/3 - 2*i. Let l(c) be the second derivative of g(c). Let l(q) = 0. Calculate q.
-1, -2/7, 0
Let q(r) = -2*r**2 - 4*r**3 - 6*r + 2 + 6*r**3 + 0*r - r. Let y(v) = -v**3 + v**2 + 4*v - 1. Let b(h) = 3*q(h) + 5*y(h). Factor b(f).
(f - 1)**2*(f + 1)
Let x = 2/19 + 15/38. Let y = 19/8 + -15/8. Find o such that -x*o**4 + 0*o**3 + 1/4*o**5 + 0 + y*o**2 - 1/4*o = 0.
-1, 0, 1
Let c be 2/3*3/1. Factor -7*s**2 + 9 - 6*s**3 + 8*s**3 - 3*s**3 + 2*s**c - 3*s.
-(s - 1)*(s + 3)**2
Factor -6*t**5 - 6*t**5 + 13*t**5 + 8*t - 20*t**2 + 18*t**3 - 7*t**4.
t*(t - 2)**3*(t - 1)
Suppose -8 = x - 10. Let g = 667/5 + -133. Solve 6/5*p**3 - g + 2/5*p + x*p**2 = 0 for p.
-1, 1/3
Factor -3*a**2 + 3*a**2 + a**2 + a - 3*a + a**3.
a*(a - 1)*(a + 2)
Let u(v) be the second derivative of v**4/6 + v**3 - 17*v. Factor u(p).
2*p*(p + 3)
Let v(k) = 3*k**3 + 2*k**2 - 7*k + 4. Let a(s) = 15*s**3 + 11*s**2 - 34*s + 19. Let j(w) = 2*a(w) - 11*v(w). Factor j(h).
-3*(h - 1)**2*(h + 2)
Let t = -13/4 + 47/12. Find m, given that 0*m**2 - t*m - 1/3 + 2/3*m**3 + 1/3*m**4 = 0.
-1, 1
Let q be 1384/40 + 2/5. Let a be 4/q*(-7 - -12). Let 8/7*s**2 - 2/7*s**3 - 10/7*s + a = 0. Calculate s.
1, 2
Suppose -8*i = -6*i - 14. Let o be (-618)/(-28) - 4/i. Solve 12*d + o*d**2 + 15*d**3 + 7/2*d**4 + 2 = 0.
-2, -1, -2/7
Let n = -6 + 11. Suppose -3*f - l = -n, -4*f + 3*l + l = -28. Find u, given that -7*u**f + 24*u**4 + u**2 - 5*u**2 + u**3 - 14*u**5 = 0.
-2/7, 0, 1
Let v(h) be the third derivative of -1/300*h**5 + 0 + 0*h + 6*h**2 - 1/30*h**3 + 1/60*h**4. Factor v(b).
-(b - 1)**2/5
Let x(o) be the second derivative of -o**5/40 + o**4/8 - o**3/6 + 20*o. Factor x(a).
-a*(a - 2)*(a - 1)/2
Factor 10/3*x - 4 - 2/3*x**2.
-2*(x - 3)*(x - 2)/3
Let q(n) be the first derivative of 2*n**3/15 - n**2 + 8*n/5 + 11. Factor q(f).
2*(f - 4)*(f - 1)/5
Let t(s) be the third derivative of s**5/30 + 8*s**4/3 + 256*s**3/3 + 3*s**2 + 2*s. Factor t(m).
2*(m + 16)**2
Let t(r) be the second derivative of -r**4/12 - r**3/6 + 2*r. Let s be t(-1). Factor s*j + 1/5*j**3 + 0 - 1/5*j**2.
j**2*(j - 1)/5
Let a(t) be the second derivative of 3/14*t**7 + 0 - 2/5*t**6 + t**4 - 2/3*t**3 - 1/4*t**5 + 0*t**2 - 8*t. Factor a(z).
z*(z - 1)*(z + 1)*(3*z - 2)**2
Let t be (-72)/96 - 226/(-300). Let q(n) be the third derivative of 0 + 5*n**2 - t*n**6 - 1/150*n**5 + 1/15*n**3 + 0*n + 1/60*n**4. Factor q(a).
-2*(a - 1)*(a + 1)**2/5
Let 1 - 2*y**2 - 6*y**2 + 4*y**2 + 5*y**2 - 2*y = 0. What is y?
1
Determine u, given that -27/2*u**5 - 141/2*u**3 - 16*u + 2 + 99/2*u**4 + 97/2*u**2 = 0.
1/3, 2/3, 1
Suppose -12/13*m**2 - 10/13*m**3 + 16/13 + 8/13*m - 2/13*m**4 = 0. Calculate m.
-2, 1
Let y be 10/4 - (-35)/(-14). Solve -z**3 + 0*z + 1/2*z**2 + y + 1/2*z**4 = 0.
0, 1
Let f(y) be the second derivative of 9*y**5/10 - y**4/3 + 2*y. Determine q, given that f(q) = 0.
0, 2/9
Let a(r) = -2*r**3 - r**2 - 3*r. Let g(c) = -8*c**3 - 5*c**2 - 11*c. Let w(u) = -22*a(u) + 6*g(u). Factor w(m).
-4*m**2*(m + 2)
Factor -3*n**2 - 8 - 20*n - n**3 + 4*n**4 - 9*n**2 + 2*n**3 + 3*n**3.
4*(n - 2)*(n + 1)**3
Let b = 5 + 47. Let r be 3/(-5) - b/(-20). Factor -2*g + 4/5 + 8/5*g**r - 2/5*g**3.
-2*(g - 2)*(g - 1)**2/5
Let i(l) be the second derivative of 5*l**4/12 + 25*l**3/6 - 15*l**2 + 2*l - 6. Factor i(v).
5*(v - 1)*(v + 6)
Let p be (-7)/21*(-58)/6 - 3. What is q in 0*q + 0*q**2 - p*q**4 + 0 + 2/9*q**3 = 0?
0, 1
Let -242*y**4 + 52*y**3 + 960*y**2 - 14*y**3 + 50*y**3 - 352*y + 32 = 0. What is y?
-2, 2/11, 2
Let k = -6 + 5. Let x be 12/(-6)*k/4. What is q in 0*q**2 + 1/4*q**4 + 1/2*q - 1/4 - x*q**3 = 0?
-1, 1
Suppose -2*t = -j + 2*j - 4, -5*j = 4*t - 2. Find d such that 0*d + 2/7*d**4 + 0*d**t + 0 - 6/7*d**5 + 0*d**2 = 0.
0, 1/3
Let g(p) be the third derivative of -p**8/1176 + 2*p**7/735 - p**5/105 + p**4/84 - 19*p**2. Find y such that g(y) = 0.
-1, 0, 1
Factor -3 + 10/3*d - 1/3*d**2.
-(d - 9)*(d - 1)/3
Suppose 0 = 4*v - 11 + 35. Let f be 1 + -1 + (-2)/v. Factor 0*a + 1/3*a**5 - 1/3*a**3 + f*a**2 - 1/3*a**4 + 0.
a**2*(a - 1)**2*(a + 1)/3
Let x = -12 - -12. Suppose 2*j - 3*n + 1 = x, -5*j - n - 1 = -24. Let -1/4*h**2 + 0 - 1/2*h**j - 3/4*h**3 + 0*h = 0. What is h?
-1, -1/2, 0
Let n(f) be the second der