ative of -9*v**4/4 + 4*v**3 + 15*v**2/2 + 6*v - 10. Let i(k) = -6*d(k) - w(k). Find a, given that i(a) = 0.
-1, -1/3, 2
Let z be 10*38/(-96) + (-12)/(-3). Let i(n) be the second derivative of -n + 0 + 0*n**3 + 0*n**2 + z*n**4. Factor i(v).
v**2/2
Let f = -296 - -892/3. Let q(n) be the first derivative of 1 + 1/9*n**3 - 2/3*n**2 + f*n. Factor q(c).
(c - 2)**2/3
Let f(z) be the second derivative of 5*z**4/6 + 2*z**3/27 - 8*z**2/9 - 313*z. Factor f(t).
2*(5*t - 2)*(9*t + 4)/9
What is b in 14*b**2 - 1745*b**3 - 8*b**4 + 1741*b**3 + 4*b**5 - 6*b**2 = 0?
-1, 0, 1, 2
Let h(k) be the first derivative of k**7/2100 - k**5/100 + k**4/30 + 20*k**3/3 - 9. Let v(w) be the third derivative of h(w). Factor v(c).
2*(c - 1)**2*(c + 2)/5
Let u(f) be the third derivative of -f**5/15 + 8*f**3/3 + 5*f**2 - 2. Determine j so that u(j) = 0.
-2, 2
Let t(c) be the first derivative of c**3 - 9*c**2 - 165*c - 387. Find k, given that t(k) = 0.
-5, 11
Let g(l) be the first derivative of l**6/2880 - l**5/120 + l**4/12 - 14*l**3/3 + 7. Let a(x) be the third derivative of g(x). Let a(s) = 0. What is s?
4
Suppose -4 + 2*x + 7*x**3 - 2*x**3 - x**3 + x**2 - x**2 + 10*x**2 = 0. What is x?
-2, -1, 1/2
Let n(j) = -j**3 - 3*j**2 - 4*j + 1. Let o be n(-4). Let k be 4 + 1 + (-159)/o. Factor 0 + 0*p**2 + 0*p + 2/11*p**3 - k*p**4.
-2*p**3*(p - 1)/11
Let t(s) be the first derivative of s**6/270 + s**5/45 + 2*s**3/3 + 6. Let w(n) be the third derivative of t(n). Let w(v) = 0. Calculate v.
-2, 0
Factor -7085 + 67426 + 3*t**2 + 62084 + 1086*t - 24142.
3*(t + 181)**2
Solve 106/5*c + 76/5*c**2 + 8/5 + 5/2*c**3 = 0.
-4, -2, -2/25
Let p(i) be the second derivative of i**7/56 + i**6/10 + 9*i**5/80 + 2*i + 3. Factor p(a).
3*a**3*(a + 1)*(a + 3)/4
Suppose q = -129 + 131. Factor -18*w**4 + 0*w + 5*w**q + w**2 + 16*w**4 + 4*w.
-2*w*(w - 2)*(w + 1)**2
Let m(f) be the first derivative of 2*f**5/45 + 4*f**4/9 + 97. Suppose m(a) = 0. What is a?
-8, 0
Let c = -1055 - -1059. Let -1/2*y**2 - 3/2*y**3 + 1 + 3/2*y - 1/2*y**c = 0. Calculate y.
-2, -1, 1
Let a(m) be the second derivative of -1/24*m**3 + 0 + 0*m**2 + 0*m**6 + 0*m**4 - 1/168*m**7 + 1/40*m**5 - 3*m. Factor a(d).
-d*(d - 1)**2*(d + 1)**2/4
Let c(j) be the first derivative of -2*j**5/35 + 47*j**4/14 - 510*j**3/7 + 675*j**2 - 13500*j/7 + 638. Factor c(q).
-2*(q - 15)**3*(q - 2)/7
Let k be (-187)/(-22) - 1/(-2). Suppose 13*o - k*o - 212 = 0. Factor 65*z + 3*z**4 - 3*z**3 - o*z - 2*z**2 - 10*z**2.
3*z*(z - 2)*(z - 1)*(z + 2)
Suppose 2*k - 7*k + 60 = -r, -40 = -5*k + 5*r. Let y(o) = -o**3 + 13*o**2 + 2*o - 5. Let i be y(k). Factor -36*w**2 - 12 + i*w**2 + 8*w + 19*w**2.
4*(w - 1)*(w + 3)
Let t(k) = -k**4 - k**2 + k + 1. Let o(q) = 21*q**5 + 100*q**4 + 159*q**3 + 94*q**2 - q - 13. Let a(n) = o(n) + t(n). Factor a(y).
3*(y + 1)**3*(y + 2)*(7*y - 2)
Let t(l) be the second derivative of 1/4*l**5 - 10/3*l**3 - 2 + 1/6*l**6 + 20*l**2 - 5/2*l**4 + 5*l. Factor t(z).
5*(z - 2)*(z - 1)*(z + 2)**2
Let v(x) be the second derivative of -x**4/24 + 5*x**3/6 - 25*x**2/4 + 3*x + 2. Factor v(w).
-(w - 5)**2/2
Let k(j) be the third derivative of j**11/1663200 + j**10/378000 + j**9/302400 - j**5/3 - 12*j**2. Let y(b) be the third derivative of k(b). Factor y(n).
n**3*(n + 1)**2/5
Let z(r) = -3*r**2 - 14*r + 43. Let s be z(2). Factor 4/11*y**2 - 2/11*y + 0 + 0*y**s + 2/11*y**5 - 4/11*y**4.
2*y*(y - 1)**3*(y + 1)/11
Let b = 8 - 6. Suppose 1 + 398*m + m**4 - b*m**2 - 398*m = 0. What is m?
-1, 1
Let s(h) be the second derivative of -3/2*h**2 + 3/40*h**5 - 1/2*h**4 + 5/4*h**3 + 22*h + 0. Find o such that s(o) = 0.
1, 2
Let c(n) be the third derivative of n**8/588 - 2*n**7/735 - n**6/42 - n**5/35 - 4*n**2 - 20*n. Let c(d) = 0. What is d?
-1, 0, 3
Factor 1/6*d**5 + 104/3*d + 100/3*d**2 + 40/3 + 44/3*d**3 + 17/6*d**4.
(d + 1)*(d + 2)**3*(d + 10)/6
Let h(b) = b**3 - 7*b**2 + 9*b - 8. Let q be h(6). Let k be (-4 - 36/(-8))*q. Factor -v**5 + k*v**4 - 4*v**4 + 0*v**4 + v**4.
-v**4*(v - 2)
Let l be (-4 + (-464)/(-112))*14. Determine r, given that 5/4*r**5 + 0*r + 5/4*r**3 + 0*r**l - 5/2*r**4 + 0 = 0.
0, 1
Let f(b) be the third derivative of 5*b**2 + 0*b**4 + 0 + 0*b**3 - 1/672*b**8 + 0*b**7 - 1/60*b**5 + 0*b + 1/80*b**6. Suppose f(c) = 0. Calculate c.
-2, 0, 1
Let j(s) = -s**3 + s + 1. Let x(r) = -7*r**3 + 65*r**2 - 238*r + 182. Let h = -74 - -73. Let k(q) = h*x(q) + 2*j(q). Find c, given that k(c) = 0.
1, 6
Solve 2*m + 52*m**4 - m**2 - 58*m**4 - 6*m + 7*m**2 + 4*m**3 = 0 for m.
-1, 0, 2/3, 1
Suppose 64*x = 1750 - 1622. Factor 2/3*y**3 + 2/3*y**x - 8/3 - 8/3*y.
2*(y - 2)*(y + 1)*(y + 2)/3
Let z be (2/10)/((-19)/(76095/(-1242))). Let a = z - -1/46. Suppose a*i**2 + 4/3*i - 2 = 0. Calculate i.
-3, 1
Let x(j) be the second derivative of 1/42*j**7 + 1/15*j**6 - 3/2*j**4 - 3/2*j**3 + 18 - j + 0*j**2 - 2/5*j**5. Let x(o) = 0. What is o?
-3, -1, 0, 3
Suppose -4*d = 12, h - 4*d - 19 = -5. Factor 4*u**3 + 3 + 14*u**2 - 3*u**h - 7*u**2 + 9 - 20*u.
4*(u - 1)**2*(u + 3)
Suppose 3*i = -4*a + 88, -5*a + 0*i = -2*i - 87. Suppose l - a = -16. Factor -3*w**5 - 3*w**l + 0*w**5 + 6*w**2 - 6*w**4 + 6*w**5.
3*w**2*(w - 2)*(w - 1)*(w + 1)
Find p such that -2/5*p**5 + 8/5*p + 6/5*p**3 - 16/5*p**2 + 0 + 4/5*p**4 = 0.
-2, 0, 1, 2
Let s be (-3)/(5/((-22775)/105)). Let t = s + -130. Factor -4/7*m + t*m**2 + 3/7.
(m - 3)*(m - 1)/7
Let k be ((-9)/21 + (-264)/(-77))/((-114)/(-100)). Factor -k*y**3 + 18/19*y + 2/19 + 30/19*y**2.
-2*(y - 1)*(5*y + 1)**2/19
Let g(v) be the third derivative of 32*v**7/105 - 4*v**6/3 - 29*v**5/5 - 35*v**4/6 - 8*v**3/3 + 2*v**2 - 10*v. Factor g(j).
4*(j - 4)*(j + 1)*(4*j + 1)**2
Let m(z) = 87*z**3 - 120*z**2 - 62*z - 2. Let d(p) = -88*p**3 + 119*p**2 + 61*p + 1. Let s be 1*2 + (-5 - -10). Let v(r) = s*m(r) + 6*d(r). Factor v(y).
(y - 2)*(9*y + 2)**2
Factor o**2 - 6*o**2 - 15*o**4 - 20*o**3 + 3*o - 3*o.
-5*o**2*(o + 1)*(3*o + 1)
Suppose -2*t - 5 = -4*u + 3, -20 = -3*u + 5*t. Suppose u = 4*z + 7 - 27. Find f such that -48/5*f**4 - 12/5*f**3 + 42/5*f**2 + 33/5*f + 6/5 - 21/5*f**z = 0.
-1, -2/7, 1
Let b(h) be the third derivative of 2/105*h**7 + 1/84*h**8 - h**2 + 0*h + 1/6*h**4 + 0 - 2/15*h**5 + 2/3*h**3 - 1/15*h**6. Factor b(l).
4*(l - 1)**2*(l + 1)**3
Let q(w) be the third derivative of w**5/15 - 124*w**4/3 + 30752*w**3/3 - 60*w**2. Determine k so that q(k) = 0.
124
Let s(o) be the first derivative of 4*o**3/3 - 27*o**2/2 - 7*o + 66. Factor s(w).
(w - 7)*(4*w + 1)
Let i be 77/2 - 3/(-6). Let s = -39 + i. Factor -1/2*w**2 + 1/4*w**3 + 1/4*w + s.
w*(w - 1)**2/4
Suppose 0*o - 55/2*o**2 + 5/2*o**4 + 0 - 25*o**3 = 0. Calculate o.
-1, 0, 11
Let o be 3/6*1 - -1 - 1835/(-734). Let 6/5*c - 2/5*c**2 + o = 0. Calculate c.
-2, 5
Let y(d) be the third derivative of d**6/1080 - d**5/270 - d**4/54 + 4*d**3/27 + 73*d**2. Factor y(b).
(b - 2)**2*(b + 2)/9
Let q(w) be the third derivative of 25*w**8/504 + 155*w**7/63 - 67*w**6/15 - 62*w**5/45 + 32*w**4/9 - 4*w**2 + 16. What is y in q(y) = 0?
-32, -2/5, 0, 2/5, 1
Solve 2/7*z**2 - 2/7*z**4 + 0 + 4/7*z - 4/7*z**3 = 0 for z.
-2, -1, 0, 1
Let u(f) be the third derivative of 1/12*f**4 + 0 + 4/3*f**3 - 1/6*f**5 - 5*f**2 + 0*f. Find k, given that u(k) = 0.
-4/5, 1
Let a(s) = s**3 + 12*s**2 + s + 8. Let r be a(-12). Let p be (28/(-42))/(r/(-6)) - -3. Determine b so that 8/7 - 18/7*b**p - 24/7*b + 2*b**3 = 0.
-1, 2/7, 2
Let r(p) = -p**3 - 17*p**2 + 16*p - 24. Let w be r(-18). Suppose 0 = -17*u - w*u + 58. Let 3/2*y**u + 6 + 6*y = 0. Calculate y.
-2
Let v be (-15)/3*(-8)/20. Let n(d) be the first derivative of -3/7*d**v - 3 + 10/21*d**3 - 4/7*d. Solve n(k) = 0 for k.
-2/5, 1
Suppose 4*p - 24 = 0, 21*v = 19*v + 2*p - 6. Factor 2/3*w - 1/2*w**v + 1/6*w**4 + 0*w**2 + 0.
w*(w - 2)**2*(w + 1)/6
Let u(q) be the third derivative of 0*q**3 - 1/225*q**6 - 1/1575*q**7 + 0*q - 1/90*q**5 - 1/90*q**4 - 20*q**2 + 0. Suppose u(l) = 0. What is l?
-2, -1, 0
Let p(b) be the second derivative of -b**8/448 + b**7/70 - b**6/32 + b**5/40 + 19*b**2/2 - 16*b. Let u(d) be the first derivative of p(d). Factor u(n).
-3*n**2*(n - 2)*(n - 1)**2/4
Factor 1/2*v**2 + 57*v + 3249/2.
(v + 57)**2/2
Let u(v) be the first derivative of v**5/150 + v**4/30 - v**3/5 - 3*v**2 - 22. Let r(g) be the second derivative of u(g). Determine z so that r(z) = 0.
-3, 1
Let m = 152 - 149. Let s = 695/9 - 77. Det