actor -1014 - 3/2*v**2 - 78*v.
-3*(v + 26)**2/2
Let n(q) be the second derivative of q**9/15120 - q**8/6720 + q**4/6 - 11*q. Let y(l) be the third derivative of n(l). Factor y(a).
a**3*(a - 1)
Suppose 0 = 3*j + n - 13, -6*j + 3*j = -n - 5. Let t(s) be the second derivative of 4/3*s**2 - 1/18*s**4 - 7*s + 0 + 0*s**j. Find f such that t(f) = 0.
-2, 2
Factor 4*z**2 + 16 + 4/3*z**3 - 64/3*z.
4*(z - 2)*(z - 1)*(z + 6)/3
Find j such that -220 + 20 - 492*j + 12*j**2 + 8*j**2 = 0.
-2/5, 25
Determine c, given that 64/3*c**3 + 40/3*c - 2 - 236/9*c**2 + 8/9*c**5 - 22/3*c**4 = 0.
1/4, 1, 3
Let m(p) be the second derivative of p**8/1680 + 2*p**7/315 + p**6/60 + 13*p**4/3 + 12*p - 3. Let u(o) be the third derivative of m(o). Factor u(s).
4*s*(s + 1)*(s + 3)
Factor 78/5*s - 111/5*s**2 - 3*s**3 + 48/5.
-3*(s - 1)*(s + 8)*(5*s + 2)/5
Let p = -3380 + 10141/3. Factor -p*y + 2 - 1/3*y**2.
-(y - 2)*(y + 3)/3
Let d(i) = 3*i - 12. Let f be d(5). Let y be (f - 3) + 11 + -3. Suppose -y - 652*t - 9*t**2 + 672*t + t**2 = 0. What is t?
1/2, 2
Suppose 0 = -3*v + 2*v + 2. Suppose u = v*h - 4, -3*h = -8*h + 4*u + 10. Solve -y**3 - 9*y**2 + 2*y - h*y**3 + 0*y**3 - 8*y = 0 for y.
-2, -1, 0
Let l(x) = 5*x**2 + x - 1. Let p be l(1). Suppose 2*r + 4*w = -4, -r = 2*r - p*w - 16. Solve d**r + 2 + 1 - 4 = 0 for d.
-1, 1
Let s(d) be the second derivative of 5*d**4/12 + 85*d**3/2 + 125*d**2 - 3*d - 39. Factor s(j).
5*(j + 1)*(j + 50)
Let r(l) = -18*l**2 - 9*l - 33. Let b be (13/(-26))/((-2)/8). Let p(z) = 2*z**b - 4*z - z**2 + 3*z - 1. Let y(k) = -15*p(k) - r(k). What is q in y(q) = 0?
-4
Let y(t) = -t**2 + 4*t + 4. Let x be y(5). Let p be x - ((-20)/6 - (-4 + 5)). Factor -4/3*c**3 - p*c**2 + 5/3*c**5 + 2/3 + 8/3*c**4 - 1/3*c.
(c - 1)*(c + 1)**3*(5*c - 2)/3
Solve 6*a**4 - 14797*a - 3*a**4 - 42*a**3 + 75*a**2 + 14761*a = 0.
0, 1, 12
Let b(h) be the second derivative of -2*h**6/15 - 3*h**5/5 - h**4 - 2*h**3/3 - 317*h + 2. Factor b(q).
-4*q*(q + 1)**3
Let q be -190*(-6)/(-576) + 2. Let r(t) be the second derivative of 2*t + 0 + q*t**4 + 1/24*t**3 - 1/4*t**2. Factor r(v).
(v - 1)*(v + 2)/4
Suppose -10*y + 49 - 19 = 0. Factor 3*d**3 - 122 - 3*d**2 - y*d**5 + 3*d**4 + 122.
-3*d**2*(d - 1)**2*(d + 1)
Let m = -35/1531 + 4768/7655. Determine v so that -4/5 - 1/5*v**2 + 8/5*v - m*v**3 = 0.
-2, 2/3, 1
Let g(a) = -a**3 + 19*a**2 - 13*a - 30. Let c be g(18). Factor 4*y**4 + y**4 - 5*y**2 - y**4 - 23*y**2 + c*y + 72 - 12*y**3.
4*(y - 3)**2*(y + 1)*(y + 2)
Let j = 8091/35 + -1614/7. Solve 0 - 11/5*c**4 + 2/5*c - 11/5*c**3 - 1/5*c**2 - j*c**5 = 0.
-2, -1, 0, 1/3
Let x(i) be the first derivative of -2*i**5/5 - 3*i**4/2 + 2*i**3/3 + 3*i**2 - 147. Find a, given that x(a) = 0.
-3, -1, 0, 1
Let g(n) be the first derivative of 5*n**4/24 + 5*n**3/12 - 15*n**2/2 + 25*n - 26. Let r(u) be the first derivative of g(u). Solve r(v) = 0.
-3, 2
Suppose 5*r = 10 - 0. Factor -20*j**2 + 8*j**2 + 8*j**r + 20*j**3.
4*j**2*(5*j - 1)
Let u(h) = -h**4 + h**3 - h**2 + h. Let p(y) = y**5 - 14*y**4 + 14*y**3 - 12*y**2 + 11*y. Let n = -110 - -88. Let c(f) = n*u(f) + 2*p(f). Factor c(b).
2*b**2*(b - 1)**3
Let h(v) be the first derivative of -2*v**5/5 + 7*v**4/2 - 34*v**3/3 + 17*v**2 - 12*v + 365. Factor h(j).
-2*(j - 3)*(j - 2)*(j - 1)**2
Let a be -1 - -2 - -6 - 7. Let u(p) be the second derivative of -1/24*p**4 + 0*p**3 - p + 1/4*p**2 + a. Suppose u(w) = 0. Calculate w.
-1, 1
Let d(m) = 2*m**2 + 13*m + 8. Suppose 3*w - 5*w - 6 = 0. Let b(z) = -5*z**2 - 25*z - 15. Let q(i) = w*b(i) - 5*d(i). Factor q(h).
5*(h + 1)**2
Let c(x) = 19*x**3 + 2*x**2 + x. Let k be c(2). Let r = 1784/11 - k. Let r*h + 0 + 2/11*h**2 = 0. What is h?
-1, 0
Suppose -4/11*n**5 + 20/11*n - 3/11 - 38/11*n**2 + 24/11*n**3 + 1/11*n**4 = 0. What is n?
-3, 1/4, 1
Suppose -131*f = -134*f + 3*c + 6, -5*f + 19 = 4*c. Factor -3/7*d**4 - 9/7*d**2 + 3/7*d + 0 + 9/7*d**f.
-3*d*(d - 1)**3/7
Let i = -66 - -331/5. Let k(y) = -239*y**2 - 476*y + 7. Let m be k(-2). Factor -1/5*t - 1/5*t**4 + 3/5*t**2 - 2/5 + i*t**m.
-(t - 2)*(t - 1)*(t + 1)**2/5
Let z(u) = 3*u + 29. Let s be z(-7). Factor -10 + s*p + 4*p - 24*p - 2*p**2.
-2*(p + 1)*(p + 5)
Let w(c) be the first derivative of 1/26*c**4 - 10/39*c**3 + 16 + 8/13*c**2 - 8/13*c. Factor w(y).
2*(y - 2)**2*(y - 1)/13
Let u(a) be the second derivative of a**7/105 - a**6/60 + 11*a**2/2 - 6*a. Let j(m) be the first derivative of u(m). Let j(c) = 0. What is c?
0, 1
Suppose 6*j**3 + 91*j**2 + 89*j**2 - 181*j**2 - 5*j**4 = 0. What is j?
0, 1/5, 1
Let f = 3711 + -18408/5. Factor -84/5*x + 12/5 + f*x**2.
3*(7*x - 2)**2/5
Let f(u) be the third derivative of -u**5/80 + 33*u**4/16 - 1089*u**3/8 + 2*u**2. Let f(o) = 0. What is o?
33
Let a be (13/(-7) - -1)*5880/(-7560). Solve 0 - 11/3*i**4 - a*i**3 + 0*i - 3*i**5 + 0*i**2 = 0.
-1, -2/9, 0
Let o(l) = -l**2 - l - 2. Let b(p) = 2*p**2 + 3*p + 22. Let w(q) = -5*b(q) - 15*o(q). Suppose w(t) = 0. Calculate t.
-4, 4
Suppose 10 = 33*l - 89. Let q(m) be the first derivative of l + 0*m**2 - m + 2/3*m**3 - 1/5*m**5 + 0*m**4. Solve q(k) = 0.
-1, 1
Suppose 5*a - 44 = -19. Let d = -3 + 5. Factor d*q**3 + 5 - a + 2*q**2.
2*q**2*(q + 1)
Suppose -j + 0*j = -s, -3*s + 40 = 5*j. Factor -14*i**4 - 4*i**s - 15*i**3 - 2*i**4 - i**3.
-4*i**3*(i + 2)**2
Let p(a) be the first derivative of 9*a - 8/15*a**3 + 16/5*a**2 + 1/30*a**4 - 7. Let k(l) be the first derivative of p(l). Find m, given that k(m) = 0.
4
Let x(b) be the third derivative of b**8/1680 - 2*b**6/75 + 19*b**5/150 - 11*b**4/40 + b**3/3 + b**2 + 5. Solve x(v) = 0 for v.
-5, 1, 2
Let j(z) = 14*z**3 - 15*z - 1. Let r(b) be the third derivative of -83*b**6/120 + 91*b**4/24 + 5*b**3/6 + 7*b**2. Let y(t) = 39*j(t) + 6*r(t). Factor y(w).
3*(w - 1)*(4*w + 1)*(4*w + 3)
Let f be -2*(-1)/(-2)*-1. Let p = 1 + f. Determine r, given that -r**2 + 3 - 2*r**p - 2*r**3 + 5 - 3*r**2 = 0.
-2, 1
Let x = 59 - 54. Suppose -x*d = -15 - 5, 0 = -n + 3*d - 10. Let 3/4*i**3 + 3/2*i**n + 3/4*i + 0 = 0. Calculate i.
-1, 0
Determine o so that o**2 + 6*o - 5 + o**2 + 8*o**2 - 12*o**2 + o**2 = 0.
1, 5
Let z(m) be the first derivative of 2*m**3/39 + 8*m**2/13 - 18*m/13 + 30. Factor z(x).
2*(x - 1)*(x + 9)/13
Let s(g) = g**5 + g**4 - g**3 - g - 1. Let o(c) = 30*c**5 - 95*c**4 + 895*c**3 - 2400*c**2 + 1975*c - 25. Let x(z) = -o(z) + 25*s(z). Let x(d) = 0. What is d?
0, 2, 10
Let o(n) be the first derivative of -n**4/66 - 2*n**3/33 - n**2/11 + 11*n + 14. Let w(i) be the first derivative of o(i). Factor w(c).
-2*(c + 1)**2/11
Let s(l) = l + 6. Let i be s(-4). Suppose -i*c = 5*v - 3 - 7, 5*v + c - 5 = 0. Factor -2/7*a**4 + 0*a**2 + v*a**3 + 0 + 0*a.
-2*a**4/7
Let h be 77/(30 + -19) - (-2 - 45/(-6)). Factor 39/4*k + h*k**2 - 15/4*k**3 + 9/2.
-3*(k - 2)*(k + 1)*(5*k + 3)/4
Factor 959/2*s**3 + 598/3*s + 343/6*s**5 + 20 + 1873/3*s**2 - 1225/3*s**4.
(s - 5)*(s - 3)*(7*s + 2)**3/6
Let y = -5111/15 + 1048/3. Let t = -291/35 + y. Factor 4/7*z**2 - 2/7*z**4 + t*z - 4/7*z**3 + 2/7*z**5 - 2/7.
2*(z - 1)**3*(z + 1)**2/7
Let u = 19/2 - 10. Let y = 1/6 - u. Suppose -y*t**2 + 2*t - 4/3 = 0. What is t?
1, 2
Factor 2*c**3 - 7*c + c**3 - 11*c + 65 - 3*c**2 - 65.
3*c*(c - 3)*(c + 2)
Determine q so that 11*q**3 - 32*q**3 + 4*q**3 - 5*q**5 - 4*q**3 - 15*q**4 + 11*q**3 = 0.
-2, -1, 0
Let x(r) be the third derivative of 167/80*r**5 - 81/280*r**7 - 99/80*r**6 + 0 + 20*r**2 + 3/2*r**3 + 0*r + 25/8*r**4. Solve x(v) = 0 for v.
-3, -2/9, 1
Let y(x) be the first derivative of -x**4/4 + x**2/2 + 4*x - 7. Let w be y(0). Factor 5*q**4 - 11*q**3 + 2*q**3 + 2*q**2 + 7*q**w - 5*q**2.
3*q**2*(q - 1)*(4*q + 1)
Let u(x) = -54*x**3 - 42*x**2 - 230*x - 264. Let a(q) = -16*q**3 - 14*q**2 - 77*q - 88. Let w(o) = 10*a(o) - 3*u(o). Factor w(t).
2*(t - 11)*(t + 2)**2
Determine v, given that -32/9*v + 4/3 + v**4 - 91/9*v**2 - 38/9*v**3 = 0.
-1, 2/9, 6
Let i be -6 + 384/66 + 140/44. Let o(h) be the second derivative of 5*h - 8/15*h**6 - h**5 - 2/21*h**7 + 0 - 2/3*h**4 + 0*h**i + 0*h**2. Factor o(b).
-4*b**2*(b + 1)**2*(b + 2)
Let p(a) be the third derivative of a**6/660 - a**5/165 - 7*a**4/132 - 4*a**3/33 + 2*a**2 + 79*a. Suppose p(s) = 0. What is s?
-1, 4
Let n(v) = -65*v**2 - 909*v + 16. Let u be n(-14). Let -14/5*h**3 - 8/15*h + 10/3*h**5 + 0 - 8/3*h**4 + 8/3*h**u = 0. Calculate h.
-1, 0, 2/5, 1
Factor 4*z - z**2 + 2*z**2 + 98*z -