*4 + 54*h**4 + h**2 - 3*h**5 = 0.
-1, 0, 1
Factor -64/5 + 32/5*a - 4/5*a**2.
-4*(a - 4)**2/5
Let q be 10/8*(-4)/50*-5. Determine n so that n + 0 - 3/2*n**3 + 1/2*n**4 - q*n**2 + 1/2*n**5 = 0.
-2, -1, 0, 1
Let z be (3 + (-52)/20)*5. Factor -2*d - 6*d**2 + 0*d + 2*d**2 + 4 + z*d**2.
-2*(d - 1)*(d + 2)
Let b(w) = -w**4 + w**3 - 1. Let o(f) = f**4 - 2*f**3 + 2*f**2 + 1. Let l be ((-8)/(-5))/((-2)/(-5)). Let i(t) = l*b(t) + 2*o(t). Factor i(m).
-2*(m - 1)**2*(m + 1)**2
Factor 0 - 2/15*y**2 - 8/15*y.
-2*y*(y + 4)/15
Let l = -34 + 36. Find g such that 1/5*g**l + 0*g - 1/5 = 0.
-1, 1
Let o(u) = -u**2 - 5*u. Let i be o(-1). Let a(k) be the third derivative of -2*k**2 + 1/60*k**6 + 0 + 0*k + 0*k**3 + 1/3*k**i - 2/15*k**5. Factor a(b).
2*b*(b - 2)**2
Let l = -28 + 30. Let a(t) be the third derivative of 0*t**4 + 0 + 0*t - 1/30*t**5 + t**l + 1/3*t**3. Determine j, given that a(j) = 0.
-1, 1
Let b(f) be the second derivative of f**4/72 - 13*f**3/36 + f**2 - 2*f + 36. Factor b(i).
(i - 12)*(i - 1)/6
Let s(m) = -2*m - 5. Let j be s(-4). Factor -4*y**2 + 48*y**j - 48*y**3 + 4*y**4.
4*y**2*(y - 1)*(y + 1)
Factor -15*m**3 + 28*m**2 - 5*m**4 + 8*m + 10 - 33*m**2 + 7*m.
-5*(m - 1)*(m + 1)**2*(m + 2)
Let v(x) = 13*x**2 - 38*x - 12. Let w be -1*3 - (0 - 2). Let b(t) = -t**2. Let d(s) = w*b(s) + v(s). Determine u so that d(u) = 0.
-2/7, 3
Factor -1/3*o + 0 + 1/3*o**2.
o*(o - 1)/3
Let f(u) be the third derivative of 0*u**3 + 0*u - 1/560*u**8 + 5*u**2 - 1/40*u**4 + 0*u**5 + 1/100*u**6 + 0*u**7 + 0. Factor f(b).
-3*b*(b - 1)**2*(b + 1)**2/5
Find q such that -8 + 12*q + 3*q - 51*q - 20*q**3 - 48*q**2 = 0.
-1, -2/5
Let v = 23 + -23. Let d(a) be the first derivative of 1/3*a**2 + 0*a + 3 - 16/15*a**5 + v*a**3 - a**4 - 1/3*a**6. Determine q, given that d(q) = 0.
-1, 0, 1/3
Suppose 51*q + 6 = 54*q. Find j, given that 4/3 - 2*j**q - 2/3*j + 2/3*j**3 + 2/3*j**4 = 0.
-2, -1, 1
Let y(h) be the first derivative of h**6/3 + 14*h**5/5 + 11*h**4/2 + 10*h**3/3 + 36. Factor y(t).
2*t**2*(t + 1)**2*(t + 5)
Let v be (36/(-48))/(18/(-4)). Let h(t) be the second derivative of 0*t**2 - 2*t + 0 + v*t**5 - 1/18*t**4 + 0*t**3. Factor h(n).
2*n**2*(5*n - 1)/3
Let d = 17/20 + -7/20. Let j(n) be the second derivative of -d*n**4 - 8/5*n**6 + 0 + 33/20*n**5 + 0*n**3 + 0*n**2 + 4*n + 1/2*n**7. Factor j(a).
3*a**2*(a - 1)**2*(7*a - 2)
Let c(j) be the third derivative of -j**8/84 + j**6/15 - j**4/6 - 13*j**2. What is o in c(o) = 0?
-1, 0, 1
Let x = -835 - -3547/4. Let m = 52 - x. Factor 0*z + m*z**2 - 1/4*z**4 + 0 + 0*z**3.
-z**2*(z - 1)*(z + 1)/4
Find m, given that 3/4*m**2 + 3*m + 3 = 0.
-2
Let b(f) = -f - 8. Let p be b(-11). Factor -8*t**2 - t**3 + p*t**3 + 6*t**2.
2*t**2*(t - 1)
Factor -1/5*h**4 + 0 + 0*h + 0*h**3 + 1/5*h**2.
-h**2*(h - 1)*(h + 1)/5
Let b(v) = 3*v**3 + v**2. Let d be b(1). Factor 3*c**5 - 72*c**4 + 66*c**d + 6*c**2 + 0*c - 3*c.
3*c*(c - 1)**3*(c + 1)
Let n = 39/140 - -9/28. Factor -3/5 + 6/5*m**3 - n*m**4 - 3/5*m + 6/5*m**2 - 3/5*m**5.
-3*(m - 1)**2*(m + 1)**3/5
Let f = 6 + -5. Let q(r) be the first derivative of r - 1/4*r**4 + f + 1/2*r**2 - 1/3*r**3. Factor q(y).
-(y - 1)*(y + 1)**2
Let l(m) be the third derivative of 3*m**7/35 - 19*m**6/40 + 3*m**5/4 - m**4/4 - 33*m**2. Factor l(a).
3*a*(a - 2)*(a - 1)*(6*a - 1)
Factor -b**2 - 16*b**4 + 13*b**4 - 4*b + 10*b**2 - 2*b.
-3*b*(b - 1)**2*(b + 2)
Let k(w) be the first derivative of 1/4*w**4 - 1/2*w - 1/2*w**2 + 1/10*w**5 + 0*w**3 - 4. Factor k(y).
(y - 1)*(y + 1)**3/2
Let a(u) be the second derivative of -u**8/336 - 4*u**7/105 - u**6/5 - 8*u**5/15 - 2*u**4/3 - u**2/2 + u. Let g(p) be the first derivative of a(p). Factor g(v).
-v*(v + 2)**4
Let l be (-3)/(-132)*24/(-9). Let n = l + 41/132. Factor 0*d + 1/4*d**3 + n*d**2 + 0.
d**2*(d + 1)/4
Let q(p) be the first derivative of p**4/16 + p**3/12 - 7. Determine l, given that q(l) = 0.
-1, 0
Let n = 1158 + -10414/9. Suppose 16/9*z + n*z**2 - 18*z**5 + 0 - 68/3*z**3 + 38*z**4 = 0. Calculate z.
-2/9, 0, 2/3, 1
Suppose -3*m - 8 = -2*m. Let z = m - -12. Factor 0*b**2 + 0*b - 1/4*b**3 + 0 - 2*b**4 - z*b**5.
-b**3*(4*b + 1)**2/4
Let m = -11 + 15. Let q be 2/(-7) - m/(-14). Factor 0*s**2 - 4 - 4*s**3 + q - 2*s**2 + 10*s.
-2*(s - 1)*(s + 2)*(2*s - 1)
Suppose -9 - 2*h**2 + 6*h - h**2 + 6*h**2 = 0. Calculate h.
-3, 1
Let k(n) be the third derivative of n**5/15 - 2*n**3/3 - 20*n**2. Factor k(g).
4*(g - 1)*(g + 1)
Let i = 189 + -70. Let m = i - 593/5. Factor 6/5*n + m*n**3 - 2/5 - 6/5*n**2.
2*(n - 1)**3/5
Let l(o) be the second derivative of o**6/180 + o**5/30 - 21*o. Factor l(k).
k**3*(k + 4)/6
Factor -9/5*z**2 - 7/5*z + 2/5.
-(z + 1)*(9*z - 2)/5
Let u(l) be the third derivative of l**6/1080 - l**5/120 + l**4/36 - 2*l**3/3 - l**2. Let t(f) be the first derivative of u(f). Find i such that t(i) = 0.
1, 2
Let -n**3 + 0*n**3 - 3*n + 3*n + n**2 = 0. Calculate n.
0, 1
Let t(i) be the third derivative of 1/8*i**5 + 3/16*i**4 - i**2 + 0*i + 0 - 1/2*i**3. Factor t(n).
3*(n + 1)*(5*n - 2)/2
Factor 3/2*o**3 + 2*o**4 + 0 - 9/2*o**2 + o.
o*(o - 1)*(o + 2)*(4*o - 1)/2
Let c(x) = 3*x**2 - 2*x + 1. Let w be c(1). Factor -4*t**2 - 4*t - 9*t**w + 17*t**2.
4*t*(t - 1)
Suppose -2/5 + 2/5*i**2 + 2/5*i**3 - 2/5*i = 0. What is i?
-1, 1
Suppose -7*m = -9*m + 8. Let c(u) be the second derivative of 1/12*u**m - 1/3*u**3 + 4*u + 0 + 1/2*u**2. What is n in c(n) = 0?
1
Let o(m) = 20*m**3 - 30*m**2 + 21*m. Let b(h) be the first derivative of -3 + 2 - 2*h**3 + 2*h**4 - h**4 + 2*h**2. Let n(s) = 11*b(s) - 2*o(s). Factor n(z).
2*z*(z - 1)*(2*z - 1)
Let i(g) = -g**2 - 11*g + 15. Let z be i(-12). Factor 3*c**2 + 2*c**3 + 3*c**4 - z*c**4 - 2*c - 3*c**4 + 0*c**3.
-c*(c - 1)*(c + 1)*(3*c - 2)
Let o be -4 - 26/7 - -8. Solve 0*h + 0 + 1/7*h**5 + o*h**3 - 3/7*h**4 + 0*h**2 = 0.
0, 1, 2
Let f(y) be the second derivative of 0*y**2 + 1/10*y**5 + 0 + 0*y**3 - 1/3*y**4 + 3*y. Find p, given that f(p) = 0.
0, 2
Let h be ((-4)/(-2))/((-1)/(-4)). Suppose -2*o + t + 22 = 3*o, 4*o + 4*t - h = 0. Suppose 0*d**3 + 0 + 2/7*d**o - 2/7*d**2 + 0*d = 0. What is d?
-1, 0, 1
Let a(f) be the first derivative of -21*f**5/20 + 3*f**4/4 + 5*f**3/2 - 3*f**2/2 - 9*f/4 + 10. Suppose a(g) = 0. What is g?
-1, -3/7, 1
Let o = 2/157 - -153/314. Suppose 1/2*y**2 - o*y**4 + 0 + 1/2*y - 1/2*y**3 = 0. Calculate y.
-1, 0, 1
Suppose 5*l + 2 = b, 5*l = -4*b + 9 - 1. Factor 3/5*v**3 - 2/5*v**b + 0 + 0*v - 1/5*v**4.
-v**2*(v - 2)*(v - 1)/5
Let 0 + 1/2*r + 1/2*r**5 + 3*r**3 - 2*r**2 - 2*r**4 = 0. Calculate r.
0, 1
Let k(h) = 15*h**4 + 19*h**3 - 7*h**2 + 15*h - 13. Let i(y) = 7*y**4 + 9*y**3 - 3*y**2 + 7*y - 6. Let u = -40 - -27. Let o(l) = u*i(l) + 6*k(l). Factor o(b).
-b*(b + 1)**3
Let i(c) be the first derivative of -3*c**5/5 + 5*c**4/4 + 11*c**3/3 + 3*c**2/2 - 38. Factor i(m).
-m*(m - 3)*(m + 1)*(3*m + 1)
Let s(c) be the third derivative of -c**7/140 - c**6/80 + 6*c**2. Factor s(o).
-3*o**3*(o + 1)/2
Let r(c) be the third derivative of -c**7/1260 + c**6/180 - c**4/9 + c**3/3 + c**2. Let f(q) be the first derivative of r(q). Suppose f(s) = 0. Calculate s.
-1, 2
Let v = 0 + -5. Let g = 15 + v. Factor -7*c**3 - c**3 + 2*c**3 + g*c**4 - 4*c**2.
2*c**2*(c - 1)*(5*c + 2)
Factor 0 + 2/5*g**3 - 6/5*g + 4/5*g**2.
2*g*(g - 1)*(g + 3)/5
Factor 0 + 0*m**2 + 1/2*m**5 + 1/4*m**3 - 3/4*m**4 + 0*m.
m**3*(m - 1)*(2*m - 1)/4
Let r(i) = -17*i**2 + 22*i - 11. Let d(h) = -18*h**2 + 21*h - 12. Let g(b) = 2*d(b) - 3*r(b). Factor g(o).
3*(o - 1)*(5*o - 3)
Factor -4/3*m - 14/3*m**2 + 0 - 2*m**3.
-2*m*(m + 2)*(3*m + 1)/3
Let p(l) be the first derivative of l**6/18 - 2*l**5/15 + 2*l**3/9 - l**2/6 + 23. Factor p(c).
c*(c - 1)**3*(c + 1)/3
Suppose -2*c + 2*m - 4*m = -12, 3*c - 5*m + 6 = 0. Factor j**c + 11*j**3 + 0*j**3 - 12*j**2 + 4*j - 4*j**4.
-4*j*(j - 1)**3
Let y be (-5 - 55/(-25))/((-80)/50). Solve 1/4*q**3 + 5/4*q**2 + y*q + 3/4 = 0.
-3, -1
Let j(d) = 2*d**2 + 2*d - 1. Let v be j(-2). Solve -q**3 + q**3 - 3*q**v + q**3 = 0.
0
Let x = -1188 - -3565/3. Let -1/3*u**2 - x - 2/3*u = 0. Calculate u.
-1
Let i(u) = u. Let t be i(0). Let z(v) = v + 2. Let s be z(t). Solve 0 + 1/2*g + 1/2*g**s = 0.
-1, 0
Suppose -2*f = 3*f + 5*s + 15, 5*f - 9 = 3*s. Solve f - 32/9*j**2 + 8/9*j + 14/9*j**3 = 0.
0, 2/7, 2
Let i be 6/(-9) - 11/(-3). What is j in -4*j**3 - 3*j**2 - 3*j**3 + 2*j**i - 2*j + 4*j**3 = 0?
-2, -