erivative of -o**7/8820 - o**6/2520 - o**4/6 + 21*o. Let z(c) be the third derivative of d(c). Factor z(g).
-2*g*(g + 1)/7
Let m(a) be the first derivative of a**7/42 - a**5/5 - a**4/6 + a**3/2 + a**2 + 17*a + 2. Let n(b) be the first derivative of m(b). Factor n(u).
(u - 2)*(u - 1)*(u + 1)**3
Let b = -746 - -748. Let n(q) be the second derivative of q - 1/70*q**5 - 1/42*q**4 + 0 + 5/21*q**3 - 3/7*q**b. Factor n(x).
-2*(x - 1)**2*(x + 3)/7
Let f(l) = -5*l - 32. Let q be f(-7). Let a(g) be the first derivative of 2/7*g - 2/21*g**q + 1/7*g**4 - 2 - 2/7*g**2. Factor a(z).
2*(z - 1)*(z + 1)*(2*z - 1)/7
Let r = 499/284 + -1/142. Factor 0 - n**3 + 1/2*n + r*n**2.
-n*(n - 2)*(4*n + 1)/4
Let k be 8/(-2)*(-15)/20. Suppose m = -i, 3*m + k*i + 5 = m. Factor -3*u + m*u**2 + 3*u + 11*u - u.
5*u*(u + 2)
Let l(m) = 4*m - 2. Let g be l(5). Suppose 5*a = q - 19 - g, 5*a = -5. Suppose 33 + 39 + q*b - 8 + 0*b**2 + 4*b**2 = 0. Calculate b.
-4
Suppose 8*k**3 + 52*k**2 + 176 - 2*k**4 + 0*k**3 + 21*k - 626 - 16*k**3 + 99*k = 0. Calculate k.
-5, 3
Let u(f) be the third derivative of -f**5/75 + f**4/5 + 14*f**3/15 - 110*f**2. Solve u(v) = 0 for v.
-1, 7
Let a = -11881 + 11884. Factor -4/11*c + 4/11*c**a + 0*c**2 + 2/11 - 2/11*c**4.
-2*(c - 1)**3*(c + 1)/11
Let v(p) be the first derivative of -13 + 10*p + 5/2*p**2 - 5/3*p**3. Factor v(z).
-5*(z - 2)*(z + 1)
Find l such that 24/7*l + 0 - 3/7*l**2 = 0.
0, 8
Let u be ((-24)/(-840))/((-2)/(-6)). Let d(q) be the first derivative of -5 - 3/7*q**4 + 3/7*q - 6/7*q**2 + u*q**5 + 6/7*q**3. Factor d(m).
3*(m - 1)**4/7
Let x(d) = -3*d**2 - 26*d + 12. Let t(l) = -l**2 - 9*l + 4. Let j(f) = 17*t(f) - 6*x(f). Factor j(s).
(s - 1)*(s + 4)
Let f(w) be the first derivative of w**7/1260 + w**6/108 + w**5/60 - w**4/4 + 6*w**3 + 18. Let h(q) be the third derivative of f(q). Find d such that h(d) = 0.
-3, 1
Let r = 48 + -57. Let w be (-3 - r/2)*(-8)/(-42). Factor 6/7*l + w - 8/7*l**2.
-2*(l - 1)*(4*l + 1)/7
Let w = 120/29 - 1022/261. Factor 0 + 4/9*s**2 - 2/9*s - w*s**3.
-2*s*(s - 1)**2/9
Let u(c) = c**4 + 8*c**3 + 14*c**2 + 8*c + 5. Let v(h) be the first derivative of h**4/4 + h**3/3 - h**2/2 + h + 2. Let p(g) = -2*u(g) + 4*v(g). Factor p(j).
-2*(j + 1)**3*(j + 3)
Let x(d) be the second derivative of -d**4/12 - d**3 - 7*d**2/2 + 11*d. Let w be x(-3). Factor 4/3*s + 4/3 + 1/3*s**w.
(s + 2)**2/3
Factor 2/11*s**2 - 48/11*s - 50/11.
2*(s - 25)*(s + 1)/11
Let f(l) be the third derivative of l**5/140 - 3*l**4/56 + l**2 - 24. Factor f(x).
3*x*(x - 3)/7
Let r(j) = 7*j - 54. Let z be r(8). Factor -2*u**3 + u**z + 2*u + 3*u**2 + 2*u**2 - 4*u**2 - 2.
-2*(u - 1)**2*(u + 1)
Let n be (-3)/9*4008/16. Let a = -83 - n. Find w, given that 1/2*w**4 + a*w**3 + 1 - 3/2*w**2 - 1/2*w = 0.
-2, -1, 1
Suppose 21*p + 6 = 24*p. Factor -7*v + 5*v**2 + 6*v + 5*v - 6*v**p - 3.
-(v - 3)*(v - 1)
Let o(y) = -y**2 - y - 1. Let m(p) = 19*p**2 - 68*p + 61. Let j(c) = m(c) - 2*o(c). Let w(k) = 6*k**2 - 19*k + 18. Let u(z) = -5*j(z) + 18*w(z). Factor u(i).
3*(i - 3)*(i - 1)
Let q(w) = w**2 - 3*w. Let m(b) = 2*b**2 - 2*b. Let y = 32 + -29. Let a(f) = y*q(f) - 4*m(f). What is k in a(k) = 0?
-1/5, 0
Let c = 50 - 47. Let -4*i**4 - 22*i**2 + 3*i**5 - 30*i**4 - 3*i**3 + 4*i + 45*i**c + 7*i**5 = 0. Calculate i.
0, 2/5, 1
Let y(n) = n**3 + 2*n**2 + 11. Let a be y(-3). Let u be (-6 + (-116)/(-20))/(a/(-8)). Determine q so that u*q + 3/5 + 1/5*q**2 = 0.
-3, -1
Suppose 7*g - 2*g - 13 = -3*a, 3*g + a - 7 = 0. Let q(z) = -z**3 - 23*z**2 - z - 19. Let k be q(-23). Factor -2*h**5 + 15*h**g + 2*h**4 + 4*h**k - 23*h**2.
-2*h**2*(h - 2)**2*(h + 1)
Determine n so that 0 + 512*n + 64*n**2 - 1/2*n**5 + 11*n**4 - 72*n**3 = 0.
-2, 0, 8
Let -40*w**2 - 2*w**5 - 3*w**5 + 0*w - 10*w**3 + 4*w - 4*w + 25*w**4 = 0. Calculate w.
-1, 0, 2, 4
Let f(m) be the second derivative of 2*m**6/35 - 29*m**5/35 + 5*m**4/7 + 58*m**3/21 - 36*m**2/7 + m - 78. Solve f(s) = 0.
-1, 2/3, 1, 9
Let p = -2243 - -2243. Let i(n) be the third derivative of 0 + 1/36*n**4 - 1/180*n**6 + 0*n + 0*n**3 + 3*n**2 + p*n**5. Factor i(g).
-2*g*(g - 1)*(g + 1)/3
Let v be (-1)/(-2 + -1)*(-288)/(-60). What is b in v - 8/5*b + 2/5*b**2 = 0?
2
Let q(n) be the first derivative of 48 - 3/4*n**4 - 81/2*n**2 - 15*n**3 - 39*n. Solve q(s) = 0.
-13, -1
Let a = -14 - -18. Suppose -2*r = -2*x - 2*x + 4, 0 = -a*x - 4*r - 8. Factor x*h**2 - h + h + 2*h**2 - 2*h**3.
-2*h**2*(h - 1)
Let -4*s**3 - 4 - 4*s**2 + 15*s**2 - 144*s + 4 + 37*s**2 = 0. What is s?
0, 6
Let x = 32 - 30. Suppose -7*g + 2*g = -x*j + 13, -5*j + 24 = -4*g. Factor 90 - 16*y**2 - j*y**3 - y**3 - 7*y**2 + 15*y + 3*y**2.
-5*(y - 2)*(y + 3)**2
Let k(n) be the first derivative of -n**3 - 45*n**2/2 + 48*n + 37. Solve k(f) = 0.
-16, 1
Let u(l) be the third derivative of l**7/2940 + l**6/210 - l**3/6 - 17*l**2. Let y(r) be the first derivative of u(r). Solve y(j) = 0.
-6, 0
Let t be (-5)/(-4) - (-57)/76. Let w(m) be the second derivative of -5*m + 5/6*m**4 + 0 - 1/3*m**3 + 0*m**t. Factor w(o).
2*o*(5*o - 1)
Let q be -1*5/(590/6). Let w = 151/649 + q. Factor -4/11*o**2 + 0*o**3 - 2/11*o + 0 + 4/11*o**4 + w*o**5.
2*o*(o - 1)*(o + 1)**3/11
Let m(i) be the third derivative of -i**7/350 - 3*i**6/100 + 2*i**2 - 4*i. Factor m(r).
-3*r**3*(r + 6)/5
Suppose -15 = -5*m + 2*y, -y + 4*y = 4*m - 12. Suppose 24 + 3*c - c**3 + 12*c**2 - c**m - 35*c + 2*c**2 = 0. What is c?
2, 3
Let k(w) be the third derivative of -2*w**7/105 - w**6/15 - w**5/20 - 6*w**2. Let q(b) = -5*b**4 - 9*b**3 - 4*b**2. Let i(p) = -6*k(p) + 5*q(p). Factor i(a).
-a**2*(a - 2)*(a - 1)
Let d = 865 - 858. Let u(l) be the third derivative of 0*l**3 + 0 + 1/35*l**d + 0*l + 7/30*l**5 + 1/6*l**4 - 8*l**2 + 2/15*l**6. Suppose u(g) = 0. Calculate g.
-1, -2/3, 0
Let z = 104 + -99. Suppose 24*t = 43 + z. Suppose 2/7*n**4 + 0 + 0*n - 2/7*n**t + 2/7*n**3 - 2/7*n**5 = 0. Calculate n.
-1, 0, 1
Let s(h) be the third derivative of -h**9/211680 - h**8/35280 - h**7/17640 - h**5/5 + 12*h**2. Let f(j) be the third derivative of s(j). Factor f(w).
-2*w*(w + 1)**2/7
Let o(z) be the second derivative of -21*z**5/4 + 125*z**4/6 + 185*z**3/6 + 15*z**2 - 43*z + 4. Factor o(s).
-5*(s - 3)*(3*s + 1)*(7*s + 2)
Let i(p) be the second derivative of 0*p**4 + 0*p**5 + 0*p**2 + 0 + 1/30*p**6 + 0*p**3 - 12*p. Factor i(r).
r**4
Let s(u) be the third derivative of -u**7/12600 - u**6/1800 + u**5/75 - 3*u**4/4 + 10*u**2 + 1. Let g(b) be the second derivative of s(b). Factor g(k).
-(k - 2)*(k + 4)/5
Let p(f) = 8*f**4 - 8*f**4 + f**3 + 1 - f**2 - f**4 + f. Let a(g) = 3*g**4 - 3*g**3 + 5*g**2 - 5*g - 4. Let x(r) = a(r) + 4*p(r). Factor x(j).
-j*(j - 1)**2*(j + 1)
Let z(l) be the third derivative of l**8/1680 - 2*l**7/525 - l**6/50 - l**5/150 + 11*l**4/120 + l**3/5 + 4*l**2. What is f in z(f) = 0?
-1, 1, 6
Let j(y) be the first derivative of -y**9/756 - y**8/140 - y**7/105 - 2*y**3/3 + 11. Let q(v) be the third derivative of j(v). Factor q(g).
-4*g**3*(g + 1)*(g + 2)
Suppose 6 = -5*d + 4*w, -7*d + 3*d + 2*w = 0. Suppose -5*f = -12*f + 21. Determine q, given that 0 - q + 3/2*q**d - 1/2*q**f = 0.
0, 1, 2
Suppose 19*h + 2*h**5 - 4 + 1807*h**3 + 2*h**5 + 11*h**4 - 932*h**3 - 898*h**3 - 7*h**2 = 0. Calculate h.
-4, -1, 1/4, 1
Let d(j) be the first derivative of -j**4/18 + 2*j**3/9 + 68. Factor d(b).
-2*b**2*(b - 3)/9
Let u(k) be the third derivative of k**6/30 - 7*k**5/15 + 2*k**4 + 9*k**2. Factor u(o).
4*o*(o - 4)*(o - 3)
Let c = 70 + -68. Determine h, given that 4*h + 1 - 3*h + h**2 - c*h - h = 0.
1
Let u = 76575/406 + -201/58. Factor -4/7*l**2 - u - 144/7*l.
-4*(l + 18)**2/7
Let o(n) be the third derivative of n**7/140 - 17*n**6/8 + 1197*n**5/5 - 87723*n**4/8 - 185193*n**3/4 + 6*n**2 - 14. Determine a, given that o(a) = 0.
-1, 57
Let p = 56/3 - 52/3. Let k(h) be the third derivative of -8/21*h**7 - 2*h**2 + 0*h + 0 - 53/30*h**6 - 16/5*h**5 - p*h**3 - 17/6*h**4. What is t in k(t) = 0?
-1, -2/5, -1/4
Let f be (-21)/(-231) + 43970/(-154). Let b = f + 286. Factor b + 0*t - 4/7*t**2.
-4*(t - 1)*(t + 1)/7
Let f(o) = -o**4 - o**2 - 2*o + 1. Let r(x) = -3*x**4 + 9*x**3 - 9*x**2 - 21*x + 6. Let m(c) = -6*f(c) + r(c). Factor m(s).
3*s*(s - 1)*(s + 1)*(s + 3)
Let a be 77/198 + 2*5/(-45). Factor -5/6*h**4 - a*h + h**2 - 1/3*h**3 + 1/2*h**5 - 1/6.
(h - 1)**3*(h + 1)*(3*h + 1)/6
Let 1/2*i**3 + 5/2*