*l**3 - 2564*l**2 - 28. Let y(c) = 4*c**5 + 62*c**4 + 231*c**3 + 285*c**2 + 3. Let z(n) = -3*w(n) - 28*y(n). Factor z(p).
-4*p**2*(p + 3)**2*(p + 8)
Let w(u) = u**3 + 2*u**2 + 10*u - 142. Let c(n) = -5*n**3 - 5*n**2 - 39*n + 567. Let a(y) = 2*c(y) + 9*w(y). Determine o so that a(o) = 0.
-4, 6
Let x(v) be the second derivative of v**5/5 + 5*v**4 + 32*v**3 - 128*v**2 - 5*v + 15. Determine j so that x(j) = 0.
-8, 1
Let y = -195/191 - 152207/955. Let b = 161 + y. Factor -6/5 + 3/5*l**2 - b*l.
3*(l - 2)*(l + 1)/5
Let k(u) be the first derivative of -u**9/30240 + u**8/8400 - u**6/1800 + u**5/1200 - 4*u**3 - 16. Let q(o) be the third derivative of k(o). Factor q(g).
-g*(g - 1)**3*(g + 1)/10
Let h(l) be the third derivative of 0*l**4 - 2/15*l**6 + 8*l**2 + 0*l + 0*l**3 + 0 - 2/105*l**7 - 1/5*l**5. Factor h(s).
-4*s**2*(s + 1)*(s + 3)
Let b = 2395 + -2395. Let o(a) be the second derivative of -1/4*a**5 + 0*a**2 + b*a**3 + 0 - a - 7/30*a**6 + 1/6*a**4. Factor o(z).
-z**2*(z + 1)*(7*z - 2)
Find p, given that -20*p**3 - 25*p**5 + 185*p**4 - 245*p**4 - 2 + 50*p**2 + 12 + 45*p = 0.
-1, -2/5, 1
Suppose 0 = 2*g + k - 62, -3*k + 22 = 2*g - 32. Factor 5*b - 44*b**4 + 39*b**3 + 56*b**4 + b + g*b**2.
3*b*(b + 1)*(b + 2)*(4*b + 1)
Let x(m) = m**3 + 22*m**2 + 80*m - 88. Let i(c) = 4*c**3 + 108*c**2 + 398*c - 440. Let n(s) = 6*i(s) - 28*x(s). Solve n(b) = 0 for b.
-4, 1, 11
Suppose 7*b + 6*b = 26. Suppose -405*t**b + 0 + 90*t - 5 + 0 = 0. Calculate t.
1/9
Let n be 3/(12/2) + 66/12. Let s(a) be the second derivative of -4*a + 1/27*a**3 + 0*a**5 - 1/27*a**4 + 2/135*a**n + 0 + 0*a**2 - 1/189*a**7. Factor s(d).
-2*d*(d - 1)**3*(d + 1)/9
Suppose -20 = -4*o - 0*g + 4*g, -g - 11 = -3*o. Determine z so that -3*z**o + 4*z - 25*z**2 - 5*z**4 + 23*z**3 + 6*z = 0.
0, 1, 2
Let y be ((-4)/10)/((-47)/376). Let 0*s - 36*s**5 + y*s**3 - 32/5*s**2 + 168/5*s**4 + 0 = 0. What is s?
-2/5, 0, 2/3
Let p = -921 + 2765/3. Factor -10/9*g + 2/9*g**2 + 2/9*g**3 + p.
2*(g - 1)**2*(g + 3)/9
Let d be -1*84/(-30) - (-5)/(-5). Factor -1/5*o + d*o**2 - 3*o**3 + 0 - 5*o**4.
-o*(o + 1)*(5*o - 1)**2/5
Let x(k) = -k**2 - 11*k + 7. Let p be x(-12). Let u(r) = -r**4 + r. Let a(i) = -86*i**4 - 9*i**3 + 56*i**2 - 11*i. Let m(f) = p*u(f) + a(f). Factor m(o).
-o*(o + 1)*(9*o - 4)**2
Let h(j) be the third derivative of -2*j**7/735 - 3*j**6/280 + j**5/210 + 3*j**4/56 + j**3/21 - 41*j**2. Determine g, given that h(g) = 0.
-2, -1, -1/4, 1
Let g(o) be the first derivative of o**8/5880 + o**7/980 - o**6/420 - o**5/60 + o**4/14 - 7*o**3 + 12. Let w(x) be the third derivative of g(x). Solve w(j) = 0.
-3, -2, 1
Let w(k) be the first derivative of 1/6*k**4 + 5 + 0*k**3 + 5*k - k**2. Let u(o) be the first derivative of w(o). Suppose u(y) = 0. Calculate y.
-1, 1
Let k(s) = -90*s**4 - s**3 + 131*s**2 + 6*s - 36. Let f(c) = -45*c**4 + 66*c**2 + 3*c - 18. Let q(w) = -5*f(w) + 3*k(w). Solve q(o) = 0 for o.
-1, -2/3, 3/5, 1
Let s(k) = -2*k - 10. Let r be s(-7). Let 11*q - q + 2*q**3 + r*q**2 - 10*q = 0. Calculate q.
-2, 0
Let x(c) = 1. Let d(h) = -h**4 + 4*h**3 - 6*h**2 + 4*h - 12. Suppose z - 616 = -13*z. Let v(u) = z*x(u) + 4*d(u). Factor v(j).
-4*(j - 1)**4
Let i(z) be the first derivative of -14*z**2 + 11 + 2*z**3 + 10*z - 3*z**3 + 20*z**2 + 5*z. Let i(f) = 0. Calculate f.
-1, 5
Let w(a) be the second derivative of a**5/40 - a**4/4 - 3*a**3/4 + 7*a**2/2 - 8*a - 2. Factor w(p).
(p - 7)*(p - 1)*(p + 2)/2
Let r(n) be the first derivative of 1/20*n**4 + 1/5*n**3 - 2/5*n**2 + 0*n - 13. What is t in r(t) = 0?
-4, 0, 1
Let d = 45 - 42. Factor 7*x**3 - 2*x**d - x + x**3 - 5*x**3.
x*(x - 1)*(x + 1)
Suppose 83*g = 2*x + 88*g - 18, 5*x - 5*g = 10. Find i, given that 2/3*i**3 + 0 + 4/9*i - 2/9*i**x + 10/9*i**2 - 2/9*i**5 = 0.
-1, 0, 2
Let d(n) be the second derivative of n**7/147 - 2*n**6/105 + n**5/70 + 190*n. Factor d(y).
2*y**3*(y - 1)**2/7
Let m(y) be the third derivative of y**6/320 - y**4/16 + 83*y**2. Find d such that m(d) = 0.
-2, 0, 2
Let l(a) be the first derivative of 3*a**5 + 3*a**4/4 - 5*a**3 - 3*a**2/2 - 87. Determine o, given that l(o) = 0.
-1, -1/5, 0, 1
Let w(m) be the second derivative of m**5/80 - m**4/16 + m**3/12 - 73*m. Factor w(x).
x*(x - 2)*(x - 1)/4
Let p(o) = -o**2 + 35*o - 35*o + o**3. Let c(b) = 4*b**3 + 26*b**2 - 65*b + 35. Let w(g) = c(g) + p(g). Factor w(x).
5*(x - 1)**2*(x + 7)
Find j such that -2/17*j**4 - 10/17*j**3 - 4/17 - 14/17*j - 18/17*j**2 = 0.
-2, -1
Let j be 8/6*((-3515)/20)/(-19). Let k = j - 389/33. Factor 1/11*b**2 - k - 1/11*b.
(b - 3)*(b + 2)/11
Let y be (-7)/2*260/91. Let s be y/(-56) + 1 + (-132)/308. Find x such that 0*x**2 + 0*x + 3/4*x**3 - s*x**4 + 0 = 0.
0, 1
Let z(r) be the second derivative of 0 + 1/24*r**4 - 4*r + 1/24*r**3 - 1/168*r**7 - 1/60*r**6 + 0*r**2 + 0*r**5. Factor z(n).
-n*(n - 1)*(n + 1)**3/4
Suppose -4*d = 3*y - 16, -2*y - d + 12 = 3*d. Solve 2*p**4 + y*p**2 + 47*p**3 + 1 - 6*p - 2*p**2 - 5 - 41*p**3 = 0.
-2, -1, 1
Let j(u) be the second derivative of 7*u**6/30 - u**5/10 - 7*u**4/12 + u**3/3 - 6*u + 4. Factor j(z).
z*(z - 1)*(z + 1)*(7*z - 2)
Let b(l) = -2*l - 1. Let h(d) = 3*d**2 - 18*d + 33. Let v(x) = 6*b(x) + h(x). Factor v(q).
3*(q - 9)*(q - 1)
Determine x, given that 2*x**5 - 86*x**2 + x**5 + 18*x + 17*x**2 + 3*x**5 + 18*x**4 - 57*x**4 + 84*x**3 = 0.
0, 1/2, 1, 2, 3
Let r(q) = -1 + q - 2*q - 4*q - q**2 + 4*q. Let j(h) = -h**2 + 21*h - 49. Let y(s) = -2*j(s) - 2*r(s). Find l, given that y(l) = 0.
5
Let z(d) be the second derivative of d**7/7 + d**6/2 - 3*d**5/20 - 7*d**4/4 - d**3/2 + 3*d**2 - 150*d. Determine u so that z(u) = 0.
-2, -1, 1/2, 1
Let h = -2737 + 2740. Factor 0 + 0*g + 2/3*g**2 - 2/3*g**h.
-2*g**2*(g - 1)/3
Let f(s) = 48*s**4 - 993*s**3 + 6915*s**2 - 20127*s + 21135. Let v(b) = 3*b**4 - 62*b**3 + 432*b**2 - 1258*b + 1321. Let a(j) = -2*f(j) + 33*v(j). Factor a(d).
3*(d - 7)**2*(d - 3)**2
Solve 1/3*r**4 + 0 - 2/3*r**2 - 1/3*r**3 + 0*r = 0.
-1, 0, 2
Let d(n) be the second derivative of n**7/126 - 2*n**6/9 - 3*n**5/2 - 35*n**4/9 - 95*n**3/18 - 4*n**2 + n - 41. Factor d(z).
(z - 24)*(z + 1)**4/3
Let b(s) = s**2 - s - 1. Let l(y) be the first derivative of y**2 - 4/3*y**3 + 10 + 8*y. Let k(c) = 6*b(c) + l(c). Find f such that k(f) = 0.
1
Let w be (15 + (2 - 10) + 12/(-1))*-1. Let 5/2 + 5/2*z**2 + w*z = 0. What is z?
-1
Suppose 0 = 5*c - 20, -5*v - c = -2*v - 4. Let p = 20 + -13. Factor -9*z**2 + p*z**2 + 2*z**5 + 2*z**4 - 2*z**3 + v*z**4.
2*z**2*(z - 1)*(z + 1)**2
Let l(f) be the third derivative of -1/210*f**7 + 3/20*f**5 + 0 - 1/120*f**6 + 22*f**2 + 0*f + 2/3*f**3 - 11/24*f**4. Let l(p) = 0. Calculate p.
-4, 1
Let u(w) = -2*w**4 - 8*w**3 + 42*w**2 + 40*w - 8. Let o(p) = p**3 + 1. Let b(n) = -8*o(n) - u(n). Find x such that b(x) = 0.
-4, -1, 0, 5
Let z be 1/4 - 476/(-16). Let j = -28 + z. Find k, given that -1/4*k**j + 0*k + 1/4 = 0.
-1, 1
Let s(a) be the second derivative of 0 - 3*a**2 - 17*a + 3/40*a**5 + 13/24*a**4 + 2/3*a**3. Factor s(z).
(z + 2)*(z + 3)*(3*z - 2)/2
Let s(m) be the second derivative of 2*m**7/7 + 7*m**6/10 - 9*m**5/10 - 7*m**4/4 + m**3 + 2*m + 1. Determine b, given that s(b) = 0.
-2, -1, 0, 1/4, 1
Factor -12/7 + 2/7*l**3 + 4/7*l**2 - 10/7*l.
2*(l - 2)*(l + 1)*(l + 3)/7
Let q(s) be the first derivative of -s**4/6 + 8*s**3/9 - s**2 - 110. Suppose q(v) = 0. Calculate v.
0, 1, 3
Let m be (60/(-22)*90/(-135))/((-2)/(-5)). Suppose 8/11 + 2/11*h**5 + m*h**2 + 38/11*h**3 + 14/11*h**4 + 32/11*h = 0. What is h?
-2, -1
Let d(f) be the third derivative of f**9/1512 + f**8/288 + f**7/144 + f**6/144 + 7*f**5/30 + 14*f**2. Let s(w) be the third derivative of d(w). Factor s(t).
5*(t + 1)*(2*t + 1)*(4*t + 1)
Let l(k) be the third derivative of k**9/60480 - k**8/10080 + 7*k**5/60 - 6*k**2. Let w(d) be the third derivative of l(d). Let w(n) = 0. Calculate n.
0, 2
Suppose -d - d = -6. Let x(i) = 2*i**2 + 12*i - 32. Let r be x(-8). Factor 5 + r + 1 - 3*y**2 + d*y.
-3*(y - 2)*(y + 1)
Factor 0 - 9/5*b**2 + 0*b - 3/5*b**3.
-3*b**2*(b + 3)/5
Let 4/3*v**4 - 28/3*v**2 + 2/3*v**5 + 16 + 40/3*v - 6*v**3 = 0. Calculate v.
-3, -2, -1, 2
Let i(m) = 14*m**2 + 38*m - 80. Let o(n) = -n**3 - 4*n**2 - n. Let u(q) = -2*i(q) - 4*o(q). Factor u(l).
4*(l - 5)*(l - 2)*(l + 4)
Let q(k) = 2*k - 19. Let l be q(11). Find g, given that -4*g + 10*g**4 - 10*g**2 + 5*g**3 - g