irst derivative of -h**3/18 + 89*h**2/12 + 91*h/3 + 803. Factor n(p).
-(p - 91)*(p + 2)/6
Let a be 16/2*11/(-1386)*-7. Find s, given that 0 - 2/9*s**2 + 2/9*s**3 - a*s = 0.
-1, 0, 2
Let x(j) be the second derivative of -2/15*j**6 + 0 - 4/5*j**5 - 2*j**4 - 8/3*j**3 - 2*j**2 + 7*j. Factor x(t).
-4*(t + 1)**4
Factor -96/7*n**2 - 2/7 + 128/7*n**3 + 24/7*n.
2*(4*n - 1)**3/7
Let w(y) = -9*y**2 + 189*y - 3072. Let d(r) = 7*r**2 - 190*r + 3072. Let m(a) = 3*d(a) + 2*w(a). Factor m(z).
3*(z - 32)**2
Suppose 0 = -19*y + 17*y + 36. Let -y + 15*h**3 - 33 - 3*h**4 - 249 + 51*h**3 - 423*h**2 + 660*h = 0. What is h?
1, 10
Factor -64*r**2 + 15 + 78*r**3 + 39*r**2 + 3*r**5 + 127*r**2 + 63*r + 27*r**4.
3*(r + 1)**4*(r + 5)
Suppose -5*a = -5*m + 80, -a - 3*a - 60 = -5*m. Let f be 5*(4 - (-72)/a). Factor 4/3*l - 2/3*l**f - 2/3.
-2*(l - 1)**2/3
Let 9/2*s - 33/8*s**2 + s**3 - 1/2 = 0. Calculate s.
1/8, 2
Suppose -12*j - j + 52 = 0. Suppose 24 = 7*p - j. Determine x so that 3 + 3/2*x**5 - 6*x**3 + 0*x**p - 3*x**2 + 9/2*x = 0.
-1, 1, 2
Let n(k) = k**3 - k**2 - 3*k - 3. Let u be n(3). Suppose 0 = 4*h - 7*h + u. Determine v, given that 10 - 16*v - h*v**3 + 3*v + 7*v**3 - 2*v = 0.
-2, 1
Let p = 344 - 190. Determine y, given that 3*y**2 - 178*y + p*y + 44 + 4 = 0.
4
Let w(p) be the first derivative of p**8/504 - p**7/105 + p**6/60 - p**5/90 - 5*p**2/2 + 3. Let s(j) be the second derivative of w(j). Factor s(l).
2*l**2*(l - 1)**3/3
Let w(t) = 3*t + 34*t**2 - 16 + 1 - 33*t**2. Let c be w(3). Suppose 9/2*n**2 + 9*n + 6 + 3/4*n**c = 0. What is n?
-2
Let z(n) be the first derivative of 0*n**2 + n - 1 + 8/3*n**3 + 7/5*n**5 + 16/3*n**4. Let g(o) be the first derivative of z(o). Solve g(j) = 0 for j.
-2, -2/7, 0
Let p = -50872 + 50872. Let -3/5*g + 13/5*g**3 + 2/5*g**2 + 8/5*g**4 + p = 0. What is g?
-1, 0, 3/8
Find u such that -324 - 504*u - 75/8*u**3 - 757/4*u**2 - 1/8*u**4 = 0.
-36, -2, -1
Solve 29*s**3 - 105 - 12*s**4 - 3 - 36*s**2 - 162*s + 2*s**5 + 3*s**3 + 28*s**4 = 0.
-3, -1, 2
Let n(d) = 1. Let o = -3 + 5. Let u(w) = 8*w**2 - 10*w + 8. Let m(p) = o*u(p) - 12*n(p). Factor m(c).
4*(c - 1)*(4*c - 1)
Let q = 1070 - 1065. Let p(c) be the second derivative of 0 + 1/2*c**2 - 5/6*c**3 - 1/10*c**6 + c + 11/48*c**4 + 23/80*c**q. Solve p(h) = 0 for h.
-1, 1/4, 2/3, 2
Determine h, given that -40/3*h**4 + 16/3 + 94/3*h**3 + 8/3*h - 28*h**2 + 2*h**5 = 0.
-1/3, 1, 2
Suppose -106 = -45*n + 29. Determine b, given that -3/4*b + n*b**2 + 0 = 0.
0, 1/4
Determine h, given that 3*h + 781*h**3 + 4 - 4*h**2 + h - 785*h**3 = 0.
-1, 1
Let j(k) = k**3 - 5*k**2 + 52. Let g(b) = -b**3 + 5*b**2 + 2*b - 51. Let i(o) = -4*g(o) - 3*j(o). Determine y so that i(y) = 0.
-3, 4
Let j(s) be the third derivative of s**5/420 - s**4/4 - 43*s**3/42 + 2*s**2 + 156*s. Find v such that j(v) = 0.
-1, 43
Let n = -43/14 + -45/7. Let z = n + 73/6. Factor -2/3*v**3 - 8/3*v + 0 - z*v**2.
-2*v*(v + 2)**2/3
Let t(m) = -5*m**3 + 10*m**2 + 15*m - 5. Let r(k) = -5*k**3 + 10*k**2 + 17*k - 4. Let x(v) = 5*r(v) - 6*t(v). Factor x(g).
5*(g - 2)*(g - 1)*(g + 1)
Let -133*p + 128*p + 40*p**2 - 40 - 3*p**3 + 8*p**3 = 0. What is p?
-8, -1, 1
Let r(c) be the third derivative of c**6/288 - c**5/45 - 17*c**4/288 + c**3/18 - 12*c**2 - 3*c. Factor r(i).
(i - 4)*(i + 1)*(5*i - 1)/12
Suppose 46*k + 18 = 49*k + l, -12 = -2*k - 4*l. Let p(y) be the second derivative of -k*y + 0 - 1/6*y**4 - 1/3*y**3 + y**2 + 1/10*y**5. Factor p(h).
2*(h - 1)**2*(h + 1)
Let u(f) be the third derivative of 1/28*f**4 - 17/490*f**7 + 0*f - 11/140*f**5 + 5/784*f**8 + 0 + 0*f**3 + 3/40*f**6 + 6*f**2. Solve u(a) = 0.
0, 2/5, 1
Let d(b) be the second derivative of -b**6/40 - 3*b**5/20 + 31*b**4/8 - 39*b**3/2 + 297*b**2/8 + 57*b. Find a such that d(a) = 0.
-11, 1, 3
Factor 1/3 + s + 1/3*s**3 + s**2.
(s + 1)**3/3
Let t(x) = -2*x**3 - 5*x**2 - 61*x - 157. Let d(k) = -k**3 - k**2 + k + 1. Let l(y) = 12*d(y) - 4*t(y). Determine u, given that l(u) = 0.
-4, 10
Let r = 52029/5 + -10405. Factor 72/5 - 22/5*c**2 + 24/5*c - r*c**3 + 2/5*c**4.
2*(c - 3)**2*(c + 2)**2/5
Let v(y) be the second derivative of y**6/90 + y**5/60 - y**4/3 + 208*y. Factor v(z).
z**2*(z - 3)*(z + 4)/3
Let k(g) be the third derivative of g**5/120 - 5*g**4/48 - 42*g**2. Let k(c) = 0. Calculate c.
0, 5
Let y be (-3)/((-6)/2) - (-9 + 6). Suppose -3*c + 11 = 3*p - y, 4*p = 5*c + 20. Solve 0 - 2/9*k + 4/9*k**3 + c*k**4 + 0*k**2 - 2/9*k**5 = 0 for k.
-1, 0, 1
Let f be 48/10 + (-15)/(-75) + 26/(-6). Solve 0*a**3 + f*a**2 - 2/9*a**4 + 4/9*a + 0 = 0.
-1, 0, 2
Let r(d) = -d**2 - 7*d - 10. Suppose -8*t + 20 = -13*t. Let o(h) = 15*h**2 + 100*h + 140. Let z(n) = t*o(n) - 55*r(n). Solve z(b) = 0 for b.
-2, -1
Let r = 169/135 + 11/135. Find s such that -2/3*s**2 + r*s + 2 = 0.
-1, 3
Find h such that 8 - 42/5*h + 2/5*h**2 = 0.
1, 20
Suppose -3*t + 12 = 4*z + t, -11 = -4*z - 5*t. Determine y, given that -16 - 8 + 4*y**3 + 16*y**2 + 12 - 12 + z*y = 0.
-3, -2, 1
Factor 0 + 1/4*p**4 + 0*p + 0*p**2 + 29/2*p**3.
p**3*(p + 58)/4
Let p(g) be the first derivative of g**4/30 - 8*g**3/15 + 16*g**2/5 - 12*g + 8. Let v(a) be the first derivative of p(a). Factor v(h).
2*(h - 4)**2/5
Let m be ((-532)/(-152))/((-231)/(-12)). Factor m*x**5 + 0 + 0*x**2 + 0*x + 8/11*x**4 - 10/11*x**3.
2*x**3*(x - 1)*(x + 5)/11
Let m(n) be the second derivative of n**5/20 + n**4/12 - 2*n**3/3 - 2*n**2 - 61*n + 1. Factor m(b).
(b - 2)*(b + 1)*(b + 2)
Let l be (-3300)/(-400)*((-30)/(-9) - 3). Factor l*p**2 + 13/4*p + 1/2.
(p + 1)*(11*p + 2)/4
Determine r, given that -1/2*r**4 - 17 - 15/2*r**3 + 35/2*r**2 + 15/2*r = 0.
-17, -1, 1, 2
Factor 225/7 + 30/7*p + 1/7*p**2.
(p + 15)**2/7
Suppose -12 = -3*f - 3. Factor c**f + 0*c + 3*c - 4*c.
c*(c - 1)*(c + 1)
Let a(g) = g**3 - 4*g**2 - 5. Let h(y) = 2*y**2 + 2. Suppose 3*f = 2*z - 17, 3*z = -5 + 17. Let v be 1*(2/2 + f). Let m(u) = v*a(u) - 5*h(u). Factor m(t).
-2*t**2*(t + 1)
Let y(c) = 8*c**3 + 38*c**2 + 128*c + 62 - 14 + 74*c**2. Let o(u) = 3*u**3 + 45*u**2 + 51*u + 19. Let h(p) = -12*o(p) + 5*y(p). Suppose h(f) = 0. Calculate f.
-3, -1
Let y be 6/(-2) + (-60)/(-16). Suppose 5*h - 11 = -r, -22*h + 3*r = -20*h - 1. Factor -1/4*l - y*l**h + 0 - 3/4*l**3 - 1/4*l**4.
-l*(l + 1)**3/4
Let l = 1059 - 1055. Let b(q) be the first derivative of -9/10*q**5 - 4 - 1/4*q**l - 7/12*q**6 + 0*q + 0*q**2 + 0*q**3. What is u in b(u) = 0?
-1, -2/7, 0
Let c(m) be the third derivative of 5*m**8/336 + m**7/14 - 5*m**6/24 - m**5/4 + 5*m**4/6 - 113*m**2. Factor c(y).
5*y*(y - 1)**2*(y + 1)*(y + 4)
Let j(y) = 27*y**2 + 72*y - 132. Let f(k) = -4*k**2 - k - 2. Let q(p) = -6*f(p) - j(p). Suppose q(z) = 0. Calculate z.
-24, 2
Let x(p) = -4*p**5 - 8*p**4 - 10*p**3 - 2*p. Let h(v) = -v**5 - v**4 - 2*v**3 + v**2 - v. Let u(i) = -2*h(i) + x(i). Factor u(d).
-2*d**2*(d + 1)**3
Let l(o) = -9*o - 39. Let y be l(-5). Let r(b) = -b**2 + 10*b - 21. Let a be r(y). Factor -3/2*k**2 + 3/2*k**4 + 3*k + 0 - 3*k**a.
3*k*(k - 2)*(k - 1)*(k + 1)/2
Let i = -3 - -6. Suppose 2*q - 7 - 7 = 0. Factor -12*s**2 - 6*s**4 + 2*s**4 + s + i*s + 5*s**3 + q*s**3.
-4*s*(s - 1)**3
Let h(b) be the first derivative of b**6/360 - b**5/36 + b**4/18 + 17*b**2/2 - 8. Let s(n) be the second derivative of h(n). What is m in s(m) = 0?
0, 1, 4
Let j(w) be the first derivative of -6/7*w**2 - 16 - 1/7*w**4 - 4/7*w - 4/7*w**3. Factor j(n).
-4*(n + 1)**3/7
Let p(i) be the second derivative of i + 1/42*i**4 + 0*i**6 - 1/7*i**2 - 1/294*i**7 - 1/14*i**3 + 1/35*i**5 + 0. Factor p(h).
-(h - 2)*(h - 1)*(h + 1)**3/7
Suppose 23 = -2*d + 15. Let i(m) = 15*m**3 + 56*m**2 + 8*m. Let q(l) = 5*l**3 + 19*l**2 + 2*l. Let w(o) = d*i(o) + 11*q(o). Factor w(h).
-5*h*(h + 1)*(h + 2)
Let g(f) be the third derivative of f**5/330 + 3*f**4/44 + 14*f**3/33 + 25*f**2 + 2*f. Factor g(v).
2*(v + 2)*(v + 7)/11
Let j(g) be the second derivative of g**4/6 + g**3/3 + 178*g. Suppose j(y) = 0. Calculate y.
-1, 0
Let t(z) be the first derivative of -8/7*z + 2/21*z**3 + 0*z**2 + 5. Factor t(s).
2*(s - 2)*(s + 2)/7
What is h in 4*h**3 + 2*h**3 - 2*h**3 - 4*h**4 + 8*h**2 = 0?
-1, 0, 2
Let s(i) = 9*i**3 + 126*i**2 + 216*i + 99. Let c(q) = q**2 - 1. Let n(o) = 15*c(o) + s(o). Solve n(a) = 0.
-14, -1, -2/3
Let x be (478/(-104) - -4) + 114/152. Find d such that -6/13 + 6/13*d**2 - 2/13*d + x*d**3 = 0.
-3, -1, 1
Let h = 41 + -3