**5/3 - j**4 - 2*j**2 - 17*j. Suppose x(w) = 0. Calculate w.
-1, -2/7, 0, 3
Let c(b) be the first derivative of -6*b**5/5 + 16*b**4 + 310*b**3/9 - 134*b**2/3 + 16*b + 191. Find u, given that c(u) = 0.
-2, 1/3, 12
Suppose -2*r = -r + 33. Let m be 56/12*r/(-4). Suppose 49/2*u**5 + 73/2*u**2 - m*u**4 - 17/2*u**3 - 16*u + 2 = 0. Calculate u.
-1, 2/7, 1
Let u(b) = 2*b**2 + b - 1. Let z(o) = -5*o**3 - 65*o**2 - 210*o - 150. Let m(l) = -10*u(l) + z(l). Factor m(g).
-5*(g + 1)*(g + 2)*(g + 14)
Let i(t) = 100*t**3 - 1160*t**2 - 55*t - 55. Let f(z) = -11*z**3 + 129*z**2 + 6*z + 6. Let u(y) = -55*f(y) - 6*i(y). Factor u(q).
5*q**2*(q - 27)
Suppose -4*b**4 + 23*b**5 + 15*b + 9*b - 28*b**3 + 3*b**5 + 4*b**2 - 22*b**5 = 0. What is b?
-2, -1, 0, 1, 3
Let x = -9779/30 - -326. Let n(v) be the second derivative of 1/30*v**3 - 1/5*v**2 + 0 + x*v**4 + 4*v - 1/100*v**5. Let n(s) = 0. Calculate s.
-1, 1, 2
Let y(p) be the second derivative of p**4/63 + 13*p**3/63 - p**2/3 - 124*p. What is b in y(b) = 0?
-7, 1/2
Let l(f) be the third derivative of f**6/240 + f**5/5 + 23*f**4/48 - f**2 + 27*f. Factor l(y).
y*(y + 1)*(y + 23)/2
Find p such that -1/2*p**2 - 5/6 - 3/2*p + 1/6*p**3 = 0.
-1, 5
Let d(i) = -i**4 + 4*i**3 - 15. Let y(n) = -2*n**4 + 4*n**3 - 14. Let a(h) = -3*d(h) + 2*y(h). Let v(b) be the first derivative of a(b). Factor v(r).
-4*r**2*(r + 3)
Let r(j) = -9*j**4 - 51*j**3 + 9*j**2 + 29*j - 11. Let c(s) = 2*s**4 + 10*s**3 - 2*s**2 - 6*s + 2. Let l(u) = 11*c(u) + 2*r(u). Factor l(g).
4*g*(g - 1)*(g + 1)*(g + 2)
Let w(r) be the third derivative of r**5/420 - r**4/84 - 5*r**3/14 + 101*r**2. What is a in w(a) = 0?
-3, 5
Factor -24/7 + 32/7*k - 6/7*k**2 - 2/7*k**3.
-2*(k - 2)*(k - 1)*(k + 6)/7
Let n(p) be the third derivative of 2/3*p**3 + 47/20*p**5 + 11/6*p**4 + 5/42*p**7 + 0*p - 24*p**2 + 11/12*p**6 + 0. Factor n(x).
(x + 2)**2*(5*x + 1)**2
Suppose 3*h = -3*w - 5 + 20, -4*h + 23 = 5*w. Let v = -2 + 6. Factor 8*l + v*l**2 - 4*l**w - 7 - 1 + 8.
-4*l*(l - 2)*(l + 1)
Let a be 9 + (-12)/18 + 5/(-15). Let n be a/(-10) - (-14)/5. Solve 0*d - 3/8*d**3 + 0 + 3/8*d**n = 0 for d.
0, 1
Let n(x) = 2*x - 48. Let z be n(27). Let q(j) be the first derivative of 0*j - 1/13*j**2 - z - 2/39*j**3. Factor q(b).
-2*b*(b + 1)/13
Let r be ((-1)/2)/((-2)/(-10)) + 3. Let t(m) be the first derivative of -1/2*m + 1/10*m**5 - 1/4*m**4 + 9 + r*m**2 + 0*m**3. Factor t(u).
(u - 1)**3*(u + 1)/2
Suppose 0*c - d = c - 13, -d = 5*c - 69. Let x = c - 14. Factor w - 2 + x*w - 5*w**2 + 6*w**2.
(w - 1)*(w + 2)
Let y = -2875 + 2877. Factor -8/9*c**2 + 2/3*c**4 + 0 - 16/9*c**3 + y*c**5 + 0*c.
2*c**2*(c - 1)*(3*c + 2)**2/9
Let s(k) be the third derivative of k**6/120 - 7*k**5/60 + 5*k**4/8 - 3*k**3/2 - k**2 + 34*k. Determine o so that s(o) = 0.
1, 3
Let h(o) be the first derivative of o**6/45 + 2*o**5/15 + o**4/3 + 4*o**3/9 + o**2/3 + 10*o - 4. Let i(a) be the first derivative of h(a). Factor i(l).
2*(l + 1)**4/3
Let u(r) = -r**4 - r**3 - 3*r + 2. Let o(z) = 2*z**4 + 7*z**3 + z**2 + 5*z - 6. Let v(t) = 5*o(t) + 15*u(t). Let v(b) = 0. What is b?
-1, 0, 1, 4
Let m(b) = -b**3 + 13*b**2 - 8*b - 4. Let l be m(12). Let t be (l/(-33))/(2/(-3)). Solve 0*u**t - 1/7*u**5 + 0 + 2/7*u**3 - 1/7*u**4 + 0*u = 0 for u.
-2, 0, 1
Solve 33/2*j - 3/2*j**2 + 0 = 0.
0, 11
Let l = 377713/15 - 25172. Let w = l + -41/5. Factor -2/9*z**5 + 0*z + 0*z**2 + 0 - w*z**4 + 0*z**3.
-2*z**4*(z + 3)/9
Let 2/3*z**2 + 68/3 - 70/3*z = 0. Calculate z.
1, 34
Factor 2/3*r**3 + 142*r**2 - 22898/3 + 7490*r.
2*(r - 1)*(r + 107)**2/3
Suppose -8/3*i + 8/21 - 34/7*i**4 + 94/21*i**2 + 2/21*i**3 + 18/7*i**5 = 0. Calculate i.
-1, 2/9, 2/3, 1
Suppose 0 = -2*m + 94 - 78. Determine d so that -70 - 18*d**5 - 16*d**2 + 70 - 4*d + 48*d**4 - 18*d**5 + m*d**3 = 0.
-1/3, 0, 1
Suppose 0 = -d - 2*d + 4*g, 3*g = -9. Let c be d/32*(-12)/9. What is w in 0*w**2 + 1/6*w**5 - c*w**3 + 0*w**4 + 0 + 0*w = 0?
-1, 0, 1
Factor -1571*i**3 + 1546*i**3 - 121 - 171*i - 240 + 165*i**2.
-(i + 1)*(5*i - 19)**2
Let a be 80/48 - 14/12. Solve -1/6*h**2 + 2/3 + a*h = 0 for h.
-1, 4
Let k be ((-3)/(-9))/(2/114). Find i such that 7 - 9*i**2 + 0*i + k*i + 23*i + 8 = 0.
-1/3, 5
Let d be (-6)/(-2)*(-3 - -4). Let a be -25*2/(-10)*d. Solve -4*z**3 + 2*z**4 - a*z**4 + 4*z**2 - 2*z**3 - 14*z**5 - 11*z**4 = 0 for z.
-1, 0, 2/7
Suppose 8 - 34/7*u - 20/7*u**2 - 2/7*u**3 = 0. What is u?
-7, -4, 1
Let a(d) be the second derivative of -d**6/50 + 73*d**5/100 + 43*d**4/20 + 9*d**3/10 - 13*d**2/5 - 5*d - 16. Determine f so that a(f) = 0.
-1, 1/3, 26
Let j = 77/2010 - 1/201. Let r(c) be the first derivative of 0*c - 1/5*c**2 - 5 + 3/25*c**5 + 1/20*c**4 - 1/5*c**3 + j*c**6. Suppose r(s) = 0. Calculate s.
-2, -1, 0, 1
Let d(z) be the first derivative of z**7/1260 - z**6/720 - z**5/180 + 7*z**2 + 7. Let q(i) be the second derivative of d(i). Factor q(f).
f**2*(f - 2)*(f + 1)/6
Let b(c) be the first derivative of -4*c**3/3 - 12*c**2 - 20*c + 63. Factor b(g).
-4*(g + 1)*(g + 5)
Let g(m) be the third derivative of 2*m**7/105 - 8*m**6/15 + 92*m**5/15 - 112*m**4/3 + 128*m**3 - 206*m**2 + 2*m. Factor g(y).
4*(y - 6)*(y - 4)**2*(y - 2)
Let f(l) = 2*l**2 + l - 4. Let s(t) = -2*t**2 + 46*t + 264. Let k(r) = 4*f(r) + 2*s(r). Determine a so that k(a) = 0.
-16, -8
Let s be 0/(1/(-2)*(9 + -11)). Let w(f) be the first derivative of -1/16*f**4 + 1/20*f**5 + 6 + s*f - 1/12*f**3 + 1/8*f**2. Factor w(b).
b*(b - 1)**2*(b + 1)/4
What is c in -14/19*c - 2/19*c**2 - 20/19 = 0?
-5, -2
Let p = -76 + 79. Factor -6*m**2 - 6*m**2 + 3*m**5 + 9*m**2 + 3*m**4 + 0*m**p - 9*m**3 + 6*m.
3*m*(m - 1)**2*(m + 1)*(m + 2)
Let i(v) be the third derivative of 3*v**6/8 + 17*v**5/6 - 265*v**4/24 + 25*v**3/3 + 7*v**2 + 4*v. Factor i(z).
5*(z - 1)*(z + 5)*(9*z - 2)
Let y = 178 + -173. Suppose -3*h - 6 = 4*t + 2, -y*t = 4*h + 10. Factor 0*f - 1/2*f**5 - 1/2*f**4 + 0*f**2 + 0 + h*f**3.
-f**4*(f + 1)/2
Suppose -l + 5*l = -0*l. Let f be 1/4 - (6/(-72) - l). Factor 0 - 1/3*j - f*j**2.
-j*(j + 1)/3
Let f(u) be the second derivative of 0 - 1/40*u**5 + 1/12*u**3 + 0*u**4 + 1/120*u**6 - 1/8*u**2 + 5*u. Let f(c) = 0. Calculate c.
-1, 1
Let m(x) be the second derivative of 0 - 28*x - 1/54*x**4 - 25/9*x**2 + 10/27*x**3. Factor m(l).
-2*(l - 5)**2/9
Let k = -1895 + 1895. Find i, given that k*i**2 + 0*i + 2/3*i**3 + 0 + 0*i**4 - 2/3*i**5 = 0.
-1, 0, 1
Let c = 3129/8 - 391. Let d(a) be the first derivative of 0*a - 1 - 1/3*a**3 - 1/4*a**2 - c*a**4. Find x such that d(x) = 0.
-1, 0
Factor t**4 - 6*t**3 - 793 + 485*t**2 + 61*t**2 + 2156*t + 47*t**3 - 1951.
(t - 1)*(t + 14)**3
Solve -4/3*c - 23/3*c**3 + 8/3 - 10*c**2 - 5/3*c**4 = 0.
-2, -1, 2/5
Let p = -3 + 5. Factor -10*n**2 + 24 + 14*n**3 + 16*n - 16*n**3 + 8*n**p.
-2*(n - 3)*(n + 2)**2
Let x be 2/16*(-2)/(360/(-6)). Let b(k) be the third derivative of 0*k**3 + 0*k + x*k**6 + 5*k**2 - 1/60*k**5 + 1/420*k**7 + 0 + 0*k**4. Factor b(f).
f**2*(f - 1)*(f + 2)/2
Let k(a) = a**5 - 4*a**4 - 2*a**3 + 4*a**2 - a - 2. Let g(p) = -p**5 + 5*p**4 + 3*p**3 - 5*p**2 + p + 3. Let o(v) = 2*g(v) + 3*k(v). Factor o(r).
r*(r - 1)**3*(r + 1)
Suppose -3*w = -6*w + 9. Determine a so that -7 - 1 - 28*a**4 - 108*a**2 + 92*a**w + 122*a - 70*a = 0.
2/7, 1
Suppose 0 = -10*x + 6*x + 356. Solve -3*y**5 + 91*y**3 + 10*y**2 + 70 - 80*y**4 - 165*y + x*y**3 - 12*y**5 = 0 for y.
-7, -1, 2/3, 1
Let j = -4 - -7. Suppose -159*s + 13 = 13. What is h in -1/3*h**2 + s*h - 5/6*h**j + 0 = 0?
-2/5, 0
Let r(k) be the second derivative of -29*k**6/5 + 15*k**5/4 + k**4/2 - 4*k + 15. Suppose r(c) = 0. Calculate c.
-2/29, 0, 1/2
Factor 51*b + 69*b + 125 + 55*b + 55*b**2 + 5*b**3.
5*(b + 1)*(b + 5)**2
Suppose 2*t + i + i - 62 = 0, -4*i = 8. Let x be (-3)/(-6 + 5 + t/(-12)). Factor 2/5*f + 2/5*f**5 + 0 + 0*f**2 + 0*f**4 - x*f**3.
2*f*(f - 1)**2*(f + 1)**2/5
Factor 3*h**5 - 45*h**4 - 8*h + 6*h**3 + 8*h**2 - 5*h**5 + 41*h**4.
-2*h*(h - 1)**2*(h + 2)**2
Suppose 0 = 39*h - 42*h + 9. Suppose z + 0*u - 4 = 5*u, -h*u - 16 = -4*z. Find i, given that 2/5*i**z - 2/5*i**3 + 2/5*i + 0 - 2/5*i**2 = 0.
-1, 0, 1
Let g be (-198)/10 + 5/(-25). Let v = -12 - g. Factor v*o + 4*o**2 + 0*o - 8*o.
4*o**2
Let f(d) be the second derivative of d**7/28 - 2*d**6/5 + 33*d**5/20 - 7*d**4/2 + 17*d**3/4 - 3*d**2 + 114*d - 2. Factor f(l).
3*(l - 4)*(l - 1)**4/2
Suppose 32 = -5*h + 7. Let j be 