ond derivative of 4/9*n**3 + 0 - 2/3*n**4 + 3/10*n**5 + 0*n**2 - 22*n. Factor s(c).
2*c*(3*c - 2)**2/3
Let f be 53 - (-20)/(-12)*-3. Factor 57*j - f*j - 13 - j**2 + 15.
-(j - 1)*(j + 2)
Let y(w) be the first derivative of -w**4/28 - 2*w**3/21 + w**2/2 - 4*w/7 + 462. Factor y(n).
-(n - 1)**2*(n + 4)/7
Let t(w) be the first derivative of w**6/30 - 3*w**5/20 + 2*w**3/3 - 5*w - 11. Let d(k) be the first derivative of t(k). What is m in d(m) = 0?
-1, 0, 2
Let z(q) be the first derivative of -q**6/180 - 43*q**2/2 - 53. Let k(p) be the second derivative of z(p). Factor k(m).
-2*m**3/3
Let r = 180 + -108. Factor l**5 + 22*l**3 + l**2 + r*l**4 - 73*l**4 - 23*l**3.
l**2*(l - 1)**2*(l + 1)
Let h(l) be the first derivative of l**5/10 - l**4/3 - l**3 - 6*l + 7. Let g(d) be the first derivative of h(d). Factor g(v).
2*v*(v - 3)*(v + 1)
Suppose -p - 5 = 0, -3*d + 28 = -2*d - 4*p. Determine b, given that -b**4 - 4*b**5 + d*b**2 - 4*b**2 - 3*b**4 + 4*b**3 = 0.
-1, 0, 1
Suppose 5*g - 12 = g, 4*s = 3*g + 3. Let r be (-50)/30*s*2/(-2). What is y in 0 + 0*y + 1/3*y**4 - 1/3*y**2 - 1/3*y**r + 1/3*y**3 = 0?
-1, 0, 1
Let l(x) be the second derivative of x**8/2520 + x**7/1575 - x**6/900 - x**5/450 + 9*x**2/2 - 12*x. Let h(n) be the first derivative of l(n). Factor h(a).
2*a**2*(a - 1)*(a + 1)**2/15
Let o = -4 - -6. Suppose 0 = -p - p + o*q, 4*p - 3*q = 5. Let -p*a**2 + 12 + 0 + 26*a + 2*a**2 - 7*a**2 = 0. Calculate a.
-2/5, 3
Determine j, given that 16/5*j**2 - 8/5 - 8/5*j**4 - 12/5*j**3 + 12/5*j = 0.
-2, -1, 1/2, 1
Solve -2*q + 16/5 - 1/5*q**4 + 2*q**3 - 3*q**2 = 0 for q.
-1, 1, 2, 8
Let t(i) be the first derivative of -2*i**5/35 + i**4 - 24*i**3/7 + 34*i**2/7 - 22*i/7 + 362. Let t(b) = 0. What is b?
1, 11
Let -8/13*i + 20/13*i**2 + 2/13*i**5 - 8/13*i**4 + 2/13*i**3 - 16/13 = 0. Calculate i.
-1, 2
Let k be 4/(-22) + (-280)/(-88). Let v(g) be the third derivative of 0*g - 1/20*g**5 + 0*g**3 + 0*g**4 + 0 - k*g**2. Let v(r) = 0. What is r?
0
Let s be 20 - (-13)/((-260)/340). Solve -6/13*r**s - 4/13*r**4 - 6/13 - 2/13*r + 18/13*r**2 = 0.
-3, -1/2, 1
Let h(t) be the second derivative of 3*t**5/50 - 8*t**4/15 - 11*t**3/5 - 14*t**2/5 - 59*t. Factor h(n).
2*(n - 7)*(n + 1)*(3*n + 2)/5
Factor 392/5 + 1232/5*z + 1346/5*z**2 + 62/5*z**4 + 2/5*z**5 + 566/5*z**3.
2*(z + 1)**3*(z + 14)**2/5
Let q be (-3)/10*(-340)/816. Suppose -1/4*m + 0 + q*m**3 + 1/8*m**2 = 0. What is m?
-2, 0, 1
Suppose 5*u = 5*s, -3*u - 2*u - 2*s = 21. Let l be 9 + (u - 3) - (-1 - 0). Factor 0 + 0*r**l + 0*r**2 + 4/5*r**3 - 2/5*r**5 - 2/5*r.
-2*r*(r - 1)**2*(r + 1)**2/5
Suppose -x + 8 = 4*w - 2, 2*x + 2*w - 8 = 0. Suppose x*l - 10 = -4*r, -8*r + 5*r + 9 = l. Find m such that 15/2*m**3 - 9/2*m**r - 6*m + 7*m**2 - 4 = 0.
-2/3, 1, 2
Factor 3*z - z + 6980*z**2 + 2*z**3 - 6984*z**2.
2*z*(z - 1)**2
Determine f so that 75 + 3/2*f**2 + 45/2*f = 0.
-10, -5
Let h(p) be the first derivative of -2*p**6/3 - 4*p**5/5 + 8*p**4 + 16*p**3 + 502. Determine o so that h(o) = 0.
-2, 0, 3
Let d(h) be the first derivative of -4*h**3/3 + 38*h**2 - 72*h - 3. What is j in d(j) = 0?
1, 18
Factor -1/3*u**2 + 1/3 + 0*u.
-(u - 1)*(u + 1)/3
Factor 258*i**2 - 91*i**3 + 15*i**3 + 8*i**4 - 6*i**2 + 117 - 324*i - 9.
4*(i - 3)**3*(2*i - 1)
Let k(g) = 46*g - 181. Let v be k(4). Find a, given that 3*a**v - 1/2*a**4 - 13/2*a**2 + 6*a - 2 = 0.
1, 2
Let n(q) = -q**3 + 9*q**2 + 7*q + 7. Let h be n(9). Let h*x + x**3 + 18*x**2 + 35*x + 216 + 3*x = 0. Calculate x.
-6
Let t(r) be the first derivative of 18 + 15*r**2 + 45*r + 5/3*r**3. Factor t(o).
5*(o + 3)**2
Let z = 34 - 31. Solve 3*d - 3*d**5 - z*d**2 + 9*d**2 + 0*d - 6*d**4 = 0 for d.
-1, 0, 1
Let u(b) be the first derivative of 1/15*b**5 - 5 + 2/3*b**2 - b - 1/3*b**4 + 2/9*b**3. Factor u(p).
(p - 3)*(p - 1)**2*(p + 1)/3
Let r be ((-215)/86)/((-15)/12). Factor 0 + 3/4*y**3 + 0*y + 0*y**r + 3*y**4 + 9/4*y**5.
3*y**3*(y + 1)*(3*y + 1)/4
Let f(n) = n**3 + 3*n**2 + 3. Let v be f(-3). Suppose h = 4*q - 7, v = 2*q + 3*h - 4. Factor -21*u**4 + 3*u**q - 44*u**3 + 5*u**2 - 28*u**5 + 85*u**4.
-4*u**2*(u - 1)**2*(7*u - 2)
Let j(d) be the third derivative of d**10/30240 + d**9/4032 - d**7/252 - d**5/5 + 23*d**2. Let t(f) be the third derivative of j(f). Factor t(n).
5*n*(n - 1)*(n + 2)**2
Suppose 2*n - 3*n = 40. Let j(b) = -25*b**2 - 105*b - 40. Let z(q) = -2*q**2 - 8*q - 3. Let i(y) = n*z(y) + 3*j(y). Factor i(r).
5*r*(r + 1)
Let q(h) be the second derivative of -h**8/1680 - h**7/168 - h**6/90 + 2*h**3/3 - 11*h. Let s(i) be the second derivative of q(i). Factor s(b).
-b**2*(b + 1)*(b + 4)
Let z(v) = 7*v**3 - 29*v**2 - 61*v - 5. Let n(o) = 4*o**3 - 15*o**2 - 31*o - 3. Let b(a) = 5*n(a) - 3*z(a). Factor b(q).
-q*(q - 14)*(q + 2)
Let b(l) be the second derivative of l**4/3 - 34*l**3/3 - 120*l**2 + 2*l - 6. Factor b(v).
4*(v - 20)*(v + 3)
Let z be 22/77 + (-4)/14. Let h(u) be the first derivative of 0*u**5 - 2/9*u**6 + 0*u**3 - 1 + z*u + 1/3*u**4 + 0*u**2. Determine k so that h(k) = 0.
-1, 0, 1
Suppose z - 3*t + 6 = -2*z, z - 3*t + 12 = 0. Factor -10*k**2 - 4 - 21*k - 2*k**2 - 6*k**z + 2*k**3 + 9*k.
-4*(k + 1)**3
Suppose -12 = -2*r - 0*r + 2*b, 0 = -3*r - 2*b + 13. Suppose -2*w + 6 = 0, r*u + 4*w - 29 = -7. Let -4*k + 10*k + 6*k - 3*k**u - 12 = 0. What is k?
2
Suppose g + 16 = 5*g. Factor 3*t**4 + t**g + 14*t**2 + 2*t**2 + 16*t**3.
4*t**2*(t + 2)**2
Solve -4/7*c - 4/7 - 4/7*c**4 + 8/7*c**2 - 4/7*c**5 + 8/7*c**3 = 0 for c.
-1, 1
Let w(p) be the second derivative of 2*p**6 + 139*p**5/5 + 332*p**4/3 + 88*p**3/3 - 160*p**2 + 20*p + 10. Suppose w(o) = 0. Calculate o.
-5, -4, -2/3, 2/5
Let l(z) be the third derivative of -z**7/42 + z**6/4 - 11*z**5/12 + 5*z**4/4 - 39*z**2 - 1. Find s, given that l(s) = 0.
0, 1, 2, 3
Determine c, given that 192 - 42*c**2 - 41*c**2 + 127*c**2 - 40*c**2 - 196*c = 0.
1, 48
Suppose -4*h + 3*z + 7 = -105, -17 = -h - 2*z. Factor h + 3*d**2 - 7 + 9 + 18*d.
3*(d + 3)**2
Suppose -5*f + 342 = 1822. Let u = 296 + f. Let 0 + 8/9*g**2 + u*g + 4/9*g**3 = 0. Calculate g.
-2, 0
Let f(o) = -o**3 - 8*o**2 + 7*o - 3. Let d be f(-9). Let m be 4/3*d/10. Factor 6*j**2 - 12 + 4*j + 0*j**3 + 6*j**m - 3*j**3 - j**3.
-4*(j - 3)*(j - 1)*(j + 1)
Let j(t) be the second derivative of -1/5*t**5 - 19/21*t**4 - 16/21*t**3 + 8/7*t**2 - 21*t + 0. Let j(x) = 0. What is x?
-2, -1, 2/7
Let n(i) = -49*i + 50*i - 1 + 8. Let d be n(-5). Solve -c**2 + 3*c**4 + 0*c**4 + 36*c**3 + c**5 - 33*c**3 + d*c**2 = 0 for c.
-1, 0
Let s(t) = 2*t**2 - 624*t - 2524. Let d be s(-4). Factor -8/3*k + 8/3*k**3 + 1/3*k**d - 16/3 + 5*k**2.
(k - 1)*(k + 1)*(k + 4)**2/3
Let v(n) = -6*n**4 + 39*n**3 - 105*n**2 + 60*n + 3. Let i(s) = -5*s**4 + 39*s**3 - 102*s**2 + 60*s + 2. Let j(w) = 3*i(w) - 2*v(w). Factor j(c).
-3*c*(c - 10)*(c - 2)*(c - 1)
Let p(a) be the first derivative of 15*a**4/4 + 62*a**3 - 123*a**2/2 - 78*a - 191. Suppose p(i) = 0. Calculate i.
-13, -2/5, 1
Let g(v) be the first derivative of 6*v**5/5 + 7*v**4/4 + 2*v**3/3 + v**2/2 - 19. Let p(n) = 5*n**4 + 6*n**3 + n**2. Let c(y) = -2*g(y) + 3*p(y). Factor c(k).
k*(k + 1)**2*(3*k - 2)
Let 4/13*i**4 + 0 + 8/13*i - 2/13*i**5 - 16/13*i**2 + 6/13*i**3 = 0. What is i?
-2, 0, 1, 2
Let r = 18 + -14. Let x(a) be the second derivative of -1/3*a**r + 1/5*a**5 + 0 + 0*a**2 + 10*a + 0*a**3. Determine i so that x(i) = 0.
0, 1
Let m(r) = 34*r**2 + 2*r + 4. Let u be m(-3). Factor 5*g**3 + 0*g**2 + 304*g - 5*g**2 - u*g.
5*g**2*(g - 1)
Let t = 10 + 1. Factor 33*l**3 - 6*l**3 - t + 5 + 22*l**2 + 15*l + 26*l**2.
3*(l + 1)**2*(9*l - 2)
Solve 5*l**3 + 2*l**5 + 10*l**2 - 3*l**5 - 8*l**2 + 2*l**4 - 8*l**2 = 0.
-2, 0, 1, 3
Let t(o) = -o**4 - o**3 + o**2 + o. Let m(h) = 2*h**5 - 10*h**4 - 10*h**3 + 10*h**2 + 8*h. Suppose -9 = 14*y - 23. Let i(w) = y*m(w) - 8*t(w). Factor i(r).
2*r**2*(r - 1)**2*(r + 1)
Let d(t) = -3*t - 35. Let s be d(-13). Suppose -4*o = 2*c + s, 1 = -5*o + 2*c + 5. Solve -2*b**3 - 2/3*b + o + 2*b**2 + 2/3*b**4 = 0 for b.
0, 1
Let n = -1632 - -1632. Let p(i) be the second derivative of -i**2 - 1/40*i**5 - 1/4*i**4 + n - 3/4*i**3 + 4*i. Factor p(f).
-(f + 1)**2*(f + 4)/2
Let p(m) be the second derivative of -m**5/150 + 41*m**4/15 - 6724*m**3/15 + 551368*m**2/15 - 438*m. Solve p(b) = 0.
82
Let b be (48/(-30))/((-6)/15)*1. Determine f, given that -5/3*f**3 + 3*f**2 - 7/3*f + 1/3*f**b + 2/3 = 0.
1