 4/3*y**2 - 4/3*y**3. Find t such that w(t) = 0.
-1, 1/3
Factor -68/5*j**4 + 32/5*j - 4/5 + 112/5*j**3 + 16/5*j**5 - 88/5*j**2.
4*(j - 1)**4*(4*j - 1)/5
Let u(z) be the third derivative of 0*z - 1/60*z**4 + 18*z**2 + 0*z**3 - 1/150*z**5 + 0. Determine m so that u(m) = 0.
-1, 0
Let z(j) be the second derivative of j**5/150 - 2*j**4/15 + 14*j**2 - 18*j. Let h(b) be the first derivative of z(b). Factor h(a).
2*a*(a - 8)/5
Suppose -2*j + 6 = h, -4*h + 9*h + 2*j - 46 = 0. Let l be (h/4 + -2)/((-5)/(-2)). Factor 0 - 2/5*s**3 + 1/5*s**4 + l*s**2 + 0*s.
s**2*(s - 1)**2/5
Let y(l) = l**3 + 2*l**2 + l + 1. Let s(n) = -7*n**3 - 40*n**2 - 17*n + 13. Let w(q) = -s(q) - 3*y(q). Suppose w(c) = 0. What is c?
-8, -1, 1/2
Factor -1/6*k**2 + 1 - 5/6*k.
-(k - 1)*(k + 6)/6
Suppose 0 = -132*d + 131*d + 5. Determine h, given that 3*h**3 - 4*h**d + 5*h**3 + 918*h - 922*h = 0.
-1, 0, 1
Let q(v) = 2*v**3 + v**2 - v + 1. Let r(t) = 39*t**3 + 8*t**2 - 114*t - 2. Let m(d) = 6*q(d) - r(d). Solve m(z) = 0.
-2, -2/27, 2
Factor -1/7*r**3 - 3/7*r**2 + 9/7*r + 27/7.
-(r - 3)*(r + 3)**2/7
Find r such that -243/4 + 87/2*r**3 + 3/8*r**5 - 351/8*r + 15/2*r**4 + 213/4*r**2 = 0.
-9, -2, -1, 1
Determine v, given that 14*v**2 - 4*v**3 - 12*v**4 + 3690*v + 10*v**4 - 3698*v = 0.
-4, 0, 1
Let x(o) be the third derivative of o**6/1440 + o**5/480 + o**3/2 - 13*o**2. Let a(z) be the first derivative of x(z). Factor a(b).
b*(b + 1)/4
Let s be (-2 - 2/(-14)*9) + (57 - 54). Factor s + 20/7*c**2 - 4/7*c**3 - 32/7*c.
-4*(c - 2)**2*(c - 1)/7
Let u(v) = v**2 - v - 1. Suppose -2 = -6*g - 14. Let c(x) = -43*x**2 - 9*x + 13. Let a(r) = g*c(r) - 2*u(r). Factor a(w).
4*(3*w + 2)*(7*w - 3)
Let m(t) = 2*t**3 + 3*t**2 - 2*t. Let i be (5 + (64/4)/(-4))/1. Let g be m(i). What is c in 2/7*c + 0 + 8/7*c**2 + 8/7*c**4 + 2/7*c**5 + 12/7*c**g = 0?
-1, 0
Let j(x) = 3*x**2. Let r be j(1). Factor 15*a**2 - 4*a**r + 40 - 4*a**3 - 60*a + 15*a**2 + 3*a**3.
-5*(a - 2)**3
Let x(g) be the second derivative of g**8/1344 - 5*g**7/504 + 7*g**6/144 - g**5/8 - g**4/6 + 11*g. Let n(s) be the third derivative of x(s). Factor n(l).
5*(l - 3)*(l - 1)**2
Let u(g) be the second derivative of -64*g**2 - 17/6*g**4 + 22*g + 1/10*g**5 + 80/3*g**3 + 0. Factor u(v).
2*(v - 8)**2*(v - 1)
Let a be (9 + (-549)/63)*(-7)/(-4). Let v(s) be the first derivative of -4 + 0*s - a*s**2 - 1/3*s**3. Factor v(t).
-t*(t + 1)
Let f = 6 + -4. Let p be 75/30*1 - (1 - -1). Suppose -3/4*m + p + 1/4*m**f = 0. What is m?
1, 2
Let t(f) = f**2 - f. Let s(r) = 3*r + 31. Let p be s(-10). Let q(d) = -3*d**2 + 2*d + 4. Let c(l) = p*q(l) + 2*t(l). Factor c(k).
-(k - 2)*(k + 2)
Factor 108 + 396*b + 64*b**3 - 256/3*b**4 + 432*b**2.
-4*(b - 3)*(4*b + 3)**3/3
Suppose -y - x + 2 = 0, 5*y + 2*x = x + 30. Solve -y*g - 6*g**2 + 3 - 3*g + 7*g + 3*g**2 + 3*g**3 = 0 for g.
-1, 1
Let x(p) = p. Let s(b) = -11*b**2 + 27*b - 4. Let m(u) = s(u) - 3*x(u). Factor m(f).
-(f - 2)*(11*f - 2)
Factor 60*w**3 - 57 - 180*w + 3*w**4 + 2*w**4 + 57 - 118*w**2 + 233*w**2.
5*w*(w - 1)*(w + 4)*(w + 9)
Let b = -914 + 923. Let v(o) be the first derivative of -1/26*o**4 + 0*o + 1/13*o**2 + b - 2/39*o**3 + 2/65*o**5. Factor v(k).
2*k*(k - 1)**2*(k + 1)/13
Let l(n) = -n**2 + 6*n + 12. Let x be l(9). Let k be 2 + (x/5 - -3). Factor 17*p**3 + 6*p**4 - k*p**3 - 5*p**5 + 10*p - 11*p**4 + 25*p**2.
-5*p*(p - 2)*(p + 1)**3
Let w = 1197 + -1194. Factor -2/17*v**4 - 14/17*v - 18/17*v**2 - 10/17*v**w - 4/17.
-2*(v + 1)**3*(v + 2)/17
Let q be -1 - ((-2)/(-2) + 323/(-9)). Let v = q - 33. Factor -2/9*u**4 + 8/9*u - 2/9 + v*u**3 - 4/3*u**2.
-2*(u - 1)**4/9
Let i(r) be the second derivative of 59/5*r**5 + 7/3*r**4 - 46/3*r**3 + 0 + 14/3*r**6 - 12*r**2 - 13*r. Suppose i(h) = 0. What is h?
-1, -2/7, 3/5
Let r(j) be the third derivative of -j**5/180 + j**4/18 + 5*j**3/18 - 469*j**2. Factor r(x).
-(x - 5)*(x + 1)/3
Let t = -5542/9 - -1850/3. Suppose -t*o + 7/9*o**2 - 16/9 - 1/9*o**3 = 0. Calculate o.
-1, 4
Let r(m) = -m**2 + 122*m - 2*m**2 + 2*m**3 + 1 + m**2 - 126*m. Let f be r(2). Factor -3/2*b**3 + 4*b**2 - 7/2*b + f.
-(b - 1)**2*(3*b - 2)/2
Solve -68/9*l**3 - 4/9*l**4 + 0 - 208/9*l**2 + 0*l = 0 for l.
-13, -4, 0
Let r be 4*(-2 - 1 - -2). Let d(f) = -6*f**2 - 2*f - 4. Let i(x) = -1 - 1 + 1 - x**2 - x. Let y(t) = r*i(t) + d(t). Suppose y(b) = 0. What is b?
0, 1
Let v(g) be the third derivative of g**10/352800 - g**8/47040 - g**5/4 + 16*g**2. Let y(i) be the third derivative of v(i). Factor y(h).
3*h**2*(h - 1)*(h + 1)/7
Suppose 0 = 12*p - 9 - 15. Determine x so that 2*x - 2*x**3 - 12*x**2 + 4*x**2 + 5*x**2 + x**p + 2*x**4 = 0.
-1, 0, 1
Let n(b) = -231*b - 2769. Let i be n(-12). Solve 0 - 1/4*z**i + 0*z - z**2 = 0.
-4, 0
Factor -25*w + 22*w + 2*w**3 + 18 - 48*w - 39*w - 2*w**2 + 8*w**3.
2*(w - 3)*(w + 3)*(5*w - 1)
Let s(w) = 9*w**3 + 242*w**2 - 42*w - 2. Let g(t) = 35*t**3 + 969*t**2 - 167*t - 9. Let y(m) = 2*g(m) - 9*s(m). What is v in y(v) = 0?
-22, 0, 2/11
Let u be 21/(-6)*(-36)/147. Let y = -818 - -5728/7. Factor y*h**3 + 6/7*h + u*h**2 + 2/7.
2*(h + 1)**3/7
Let w be ((-1)/2 + (-2)/8)*-8. Let a(y) = y**3 - 7*y**2 - y + 7. Let z(l) = -l**3 + 8*l**2 + l - 8. Let i(m) = w*z(m) + 7*a(m). Factor i(v).
(v - 1)**2*(v + 1)
Factor -1/4*m**4 + 1/2*m**3 + 1 + 3/4*m**2 - 2*m.
-(m - 2)*(m - 1)**2*(m + 2)/4
Let c(m) be the first derivative of -m**5/15 + 2*m**3/3 - 4*m**2/3 - 14*m + 13. Let a(l) be the first derivative of c(l). Factor a(f).
-4*(f - 1)**2*(f + 2)/3
Let w(a) be the first derivative of -2*a**3/51 + 186*a**2/17 - 17298*a/17 - 309. Solve w(m) = 0 for m.
93
Let d(w) = -20*w**4 + 101*w**3 - 170*w**2 + 75*w + 75. Let i(s) = 10*s**4 - 50*s**3 + 84*s**2 - 38*s - 38. Let x(k) = -6*d(k) - 11*i(k). What is g in x(g) = 0?
-2/5, 2
Let q(v) be the first derivative of v**5 + 15*v**4/4 - 15*v**3 + 25*v**2/2 + 93. Factor q(r).
5*r*(r - 1)**2*(r + 5)
Let r(u) be the third derivative of 5/6*u**3 - 9*u**2 + 0*u + 1/1260*u**6 + 0 - 1/105*u**5 + 1/21*u**4. Let n(y) be the first derivative of r(y). Factor n(a).
2*(a - 2)**2/7
Suppose -4*u - 20 = -3*m + u, 25 = 4*m - 5*u. Let 14*s**4 + s**3 - m*s**3 - 2*s**2 - 8*s**4 = 0. What is s?
-1/3, 0, 1
Let s(t) = -t**3 - 85*t**2 + 155*t - 72. Let o(u) = 5*u**3 + 255*u**2 - 465*u + 215. Let w(c) = -3*o(c) - 10*s(c). Factor w(a).
-5*(a - 15)*(a - 1)**2
Let y(g) be the second derivative of -2/3*g**4 + 4/5*g**5 + 0 + 2/5*g**6 - 2*g**2 - 8/3*g**3 + 22*g. Find f, given that y(f) = 0.
-1, -1/3, 1
Let h(t) be the second derivative of -t**6/105 - 164*t**5/35 - 6724*t**4/7 - 2205472*t**3/21 - 45212176*t**2/7 - 51*t. Factor h(d).
-2*(d + 82)**4/7
Let a(q) be the second derivative of q**6/120 - 3*q**2/2 - 4*q. Let g(n) be the first derivative of a(n). Factor g(y).
y**3
Let k = 20 - 15. Let g(h) = -7*h**3 - 6*h**2 - 6*h - 2. Let r(i) = 22*i**3 + 18*i**2 + 18*i + 6. Let b(l) = k*r(l) + 16*g(l). What is s in b(s) = 0?
-1
Let b(w) = 15*w**3 - 83*w**2 + 105*w - 45. Let v(q) = 46 - 16 - 15 + 28*q**2 - 19*q - 16*q - 5*q**3. Let s(z) = -3*b(z) - 8*v(z). Factor s(g).
-5*(g - 3)*(g - 1)**2
Factor 21*g**2 - 5*g**3 - 31*g**2 - 15*g**2.
-5*g**2*(g + 5)
Let t(g) be the second derivative of 1/90*g**5 + 1/9*g**3 - 1/9*g**2 + 0 - 1/18*g**4 + 11*g. Factor t(l).
2*(l - 1)**3/9
Let o(g) = -15*g**4 + 1445*g**3 - 3230*g**2 + 50*g + 50. Let f(d) = d**4 - 85*d**3 + 190*d**2 - 3*d - 3. Let a(r) = 50*f(r) + 3*o(r). Factor a(y).
5*y**2*(y - 2)*(y + 19)
Let p = -15/314 - -101/471. Let y = 1/23 + 21/46. Factor -y*r - 1/3 - p*r**2.
-(r + 1)*(r + 2)/6
Let k = -6 + 3. Let r be (-6 - -9) + (-2 - k). Suppose -u**2 + 5*u**3 + 5*u**2 + u**5 - 15*u**3 - 3*u**5 + 8*u**r = 0. What is u?
0, 1, 2
Let h(q) be the second derivative of q**5/40 - 5*q**4/8 - 39*q**3/4 - 189*q**2/4 + 5*q + 13. Let h(s) = 0. What is s?
-3, 21
Let c(f) be the third derivative of -9*f**2 + 1/140*f**6 + 2/21*f**3 - 2/105*f**5 - 1/84*f**4 + 0 + 0*f. Let c(h) = 0. What is h?
-2/3, 1
Let k(d) = -2*d**2 + 23*d + 8. Let f be k(12). Let y be f/10 - 480/(-700). Factor 6/7*h**2 - 8/7 - 8/7*h + 8/7*h**3 + y*h**4.
2*(h - 1)*(h + 1)*(h + 2)**2/7
Let v(j) = -22*j**2 + 8. Let z(r) = 31*r**2 - 12. Let p(y) = 7*v(y) + 5*z(y). Factor p(t).
(t - 2)*(t + 2)
Suppose -1194*t + 40 = -1184*t. Let z(n) be the first derivative of 1/8*n**6 - 1/2*n**3 + 0*n - 9/16*n**t + 0*n**5 + 1 + 0*n**2. Facto