(-136) - 10). Determine g, given that 1/4*g**3 - 4 + 5*g - n*g**2 = 0.
2, 4
Let y(s) be the first derivative of s**5/25 + 13*s**4/20 + 16*s**3/5 + 18*s**2/5 - 33. Factor y(i).
i*(i + 1)*(i + 6)**2/5
Suppose 2*q + 0*q - 2 = -w, -4*q = w. Let y(m) be the second derivative of 0*m**2 - 3/20*m**5 + 0*m**3 - 1/10*m**6 + 4*m + 0 + 1/2*m**w. Factor y(j).
-3*j**2*(j - 1)*(j + 2)
Let w = 16655/7 + -2379. Factor -w*k**2 - 6/7*k - 4/7.
-2*(k + 1)*(k + 2)/7
Suppose 22*l - 56 = -6*l. Let x(f) = f - 3. Let y be x(5). Factor 38*a - 2*a**l + 7*a**y - 28*a.
5*a*(a + 2)
Let c be -4*2/(16/(-10)). Let i = c - 3. Determine b, given that 9*b**4 - 6*b**4 + 36*b**3 + i*b + 4*b + 27*b**2 + 12*b**4 = 0.
-1, -2/5, 0
Suppose 5*p + 26 = -4. Let o be ((-2)/p)/(2/108). Solve -5*k**2 - o*k + 2*k + 0*k**2 + k**2 - 16 = 0.
-2
Let o = 927/740 - 1/370. Let u = -3/4 + o. Factor t**3 + 1/2*t**2 + u + 1/4*t**5 - t**4 - 5/4*t.
(t - 2)*(t - 1)**3*(t + 1)/4
Let m = 456 - 453. Let -2/5*n**2 + 0 + 1/5*n + 2/5*n**4 + 3/5*n**5 - 4/5*n**m = 0. Calculate n.
-1, 0, 1/3, 1
Let o(h) be the second derivative of -h**4/90 - 4*h**3/15 - 4*h**2/3 - 325*h. Factor o(p).
-2*(p + 2)*(p + 10)/15
Let r(h) be the third derivative of h**5/60 + h**4/12 - 114*h**2 + 1. Solve r(l) = 0.
-2, 0
Let g(k) = 5*k**3 - 39*k**2 - 116*k - 108. Let u(c) = -2*c**3 - c. Let n(p) = g(p) + 4*u(p). Factor n(i).
-3*(i + 2)**2*(i + 9)
Suppose 0 = 1963*l - 1955*l. Factor -3/7*t**3 + 3/7*t**2 + l - 3/7*t**4 + 3/7*t.
-3*t*(t - 1)*(t + 1)**2/7
Let t(h) be the first derivative of h**6/4 + 33*h**5/10 - 117*h**4/8 + 41*h**3/2 - 21*h**2/2 + 343. Factor t(m).
3*m*(m - 1)**3*(m + 14)/2
Factor 4*q**3 - 13*q**3 - 151*q + 74*q**2 - 45*q + 5*q**3 - 18*q**2.
-4*q*(q - 7)**2
Factor -6*n + 10/3*n**3 - 26/3*n**2 + 6.
2*(n - 3)*(n + 1)*(5*n - 3)/3
Let a = -82 + 112. Let w be 3 + -3 + a/(-8) + 4. Factor -5/4*z**2 - w*z + 0.
-z*(5*z + 1)/4
Let z(c) = -5*c**3 + 4*c**4 - 15*c - 3*c**4 - c**2 + 20*c. Let y(x) = 4*x**4 - 15*x**3 - 4*x**2 + 15*x. Let l(q) = -4*y(q) + 11*z(q). Solve l(v) = 0 for v.
-1, 0, 1
Let x(b) be the third derivative of 0 + 1/80*b**5 + 0*b + 1/32*b**4 + 0*b**3 + 9*b**2. Factor x(g).
3*g*(g + 1)/4
Let w = 74/1157 + 8/89. Let g = 9/26 + w. Determine c so that -1/2*c**3 + 1/2*c**5 + 0 + g*c**4 - 1/2*c**2 + 0*c = 0.
-1, 0, 1
Let z(t) be the second derivative of -t**7/210 + t**5/60 - 15*t**2 - 26*t. Let q(x) be the first derivative of z(x). Solve q(i) = 0 for i.
-1, 0, 1
Let m(d) be the first derivative of 2*d**6/3 + 12*d**5/5 - 16*d**4 - 80*d**3/3 + 192*d**2 - 256*d - 35. Determine k, given that m(k) = 0.
-4, 1, 2
Let f = -10 + 50. Let p be -3 - (10/(-25) + (-194)/f). Solve 0*q + 0 + 1/2*q**2 + p*q**4 - 11/4*q**3 = 0.
0, 2/9, 1
Let p(d) = 3 - 2*d**2 + d**4 + d**4 - d**3 + 4 - d**5 - 5. Let f(s) = 3*s**5 - 6*s**4 + 3*s**3 + 7*s**2 - 7. Let g(l) = -6*f(l) - 21*p(l). Solve g(b) = 0.
0, 1
Factor -1259*j - 3*j**2 + j**2 - 10*j**2 + 29*j - 42025 + 3*j**2.
-(3*j + 205)**2
Let d(h) be the third derivative of 59/225*h**5 + 0*h + 1/3*h**4 - 2/25*h**7 + 8/45*h**3 - 7/360*h**8 - 11/900*h**6 + 17*h**2 + 0. Find t, given that d(t) = 0.
-2, -1, -2/7, 1
Let y(s) be the first derivative of 0*s + 0*s**2 + 1/540*s**6 + 4/9*s**4 - 8 - 2/45*s**5 - 7/3*s**3. Let c(i) be the third derivative of y(i). Factor c(u).
2*(u - 4)**2/3
Factor 1/7*g**4 - 8/7*g**3 - 16/7 + 8/7*g + 15/7*g**2.
(g - 4)**2*(g - 1)*(g + 1)/7
Let h(t) be the third derivative of -t**6/40 - 3*t**5/20 + t**4/8 + 3*t**3/2 + 721*t**2. Determine i so that h(i) = 0.
-3, -1, 1
Let b be (2 + -3 + 4)/((-6)/16). Let y(w) = -w**2 - 10*w - 16. Let i be y(b). Factor -2/7*p**5 + i*p**3 + 2/7*p + 4/7*p**2 + 0 - 4/7*p**4.
-2*p*(p - 1)*(p + 1)**3/7
Let y(f) be the first derivative of -f**4/4 + 5*f**3/3 - 3*f**2 - 11. Factor y(a).
-a*(a - 3)*(a - 2)
Let x(b) be the third derivative of -b**8/1680 + b**7/70 + b**6/300 - b**5/10 - b**4/120 + b**3/2 - 198*b**2 + b. Let x(h) = 0. Calculate h.
-1, 1, 15
Determine u, given that -40*u - 7879*u**4 + 4*u**5 - 30*u**2 + u**5 + 7909*u**4 + 35*u**3 = 0.
-4, -2, -1, 0, 1
Factor -3*x**4 - 5*x**2 + 9*x + 31*x**3 - 16*x**3 - 20*x**2 + 4*x**2.
-3*x*(x - 3)*(x - 1)**2
Suppose -3*m = -3*j - j - 10, 4*j + 4 = 2*m. Suppose 3*b - m = -0. Factor -3*f**b - 3*f**2 + f - 2*f**2 + 4*f**2 + 4*f**3.
f*(2*f - 1)**2
Let s be 4/(-22) + (-3174)/(-33). Factor -64*f**2 + 4*f**5 + 0*f**5 + 0*f + s*f**3 - 36*f**4 + 0*f.
4*f**2*(f - 4)**2*(f - 1)
Let v(t) be the first derivative of -t**5/5 - 5*t**4/4 - 8*t**3/3 - 2*t**2 + 35. Let v(c) = 0. Calculate c.
-2, -1, 0
Let z(j) = -j**3 + 8*j**2 - 8*j + 9. Suppose -4*p + 7*p - 2*q = 19, 18 = 2*p + 4*q. Let l be z(p). Factor 3*a**2 - 4*a**3 + 3*a**2 - 14*a**l.
-4*a**2*(a + 2)
Suppose -3*a - 193 = -7*t + 5*t, 0 = -3*a - 4*t - 163. Let x = a + 64. Factor 19/5*c**4 + 7/5*c**5 + 3*c**x - 2/5*c + 0 + 1/5*c**2.
c*(c + 1)**3*(7*c - 2)/5
Let z = -103/135 - -35/27. Let m(f) be the third derivative of z*f**5 + 1/5*f**6 + 14*f**2 - 6*f**3 + 0*f - f**4 + 0 + 2/105*f**7. Determine c so that m(c) = 0.
-3, -1, 1
Let o(f) = f**3 - 12*f**2 + f - 9. Let r be o(12). Suppose 9*w - 12 = r*w. Factor 0 - 1/3*z + 1/3*z**w.
z*(z - 1)/3
Let i(c) be the second derivative of -c**6/15 + 3*c**5/5 - 2*c**4 + 8*c**3/3 + 32*c. Factor i(k).
-2*k*(k - 2)**3
Let s(m) = -6*m**4 - 24*m**3 - 8*m**2 + 8*m. Let c(a) = 2*a**4 + 8*a**3 + 2*a**2 - 3*a. Let n(i) = -8*c(i) - 3*s(i). Factor n(v).
2*v**2*(v + 2)**2
Let i be (-10)/9 - 868/(-558). Let 16/9*m - i*m**3 + 0 - 2/9*m**4 + 8/9*m**2 = 0. What is m?
-2, 0, 2
Let k(w) = -w**4 + 5*w**3 - 20*w**2 + 22*w - 6. Let x = 50 - 46. Let b(d) = -d**3 - d**2 + d + 1. Let y(a) = x*b(a) - 2*k(a). Determine o, given that y(o) = 0.
1, 2
Suppose -2*j + 6 = 0, -3*p - 2*j + j + 21 = 0. Determine t so that -p*t**2 - 219*t + 2*t**3 + 222*t + t**3 = 0.
0, 1
Suppose 8*d - 4*d = -4*y + 8, -3*y + 11 = -2*d. Let s(p) be the first derivative of -2/15*p**5 + 0*p - 1/12*p**4 - 2 - 1/18*p**6 + 0*p**y + 0*p**2. Factor s(t).
-t**3*(t + 1)**2/3
Let t(o) be the second derivative of o**6/20 + 3*o**5/4 - 11*o**4/8 - 224*o. Let t(q) = 0. Calculate q.
-11, 0, 1
Let t = 15 - 13. Let y be t + -2 + 5 + -3. Determine o, given that -5*o**y - 5*o**2 + 2*o + 9*o**2 = 0.
0, 2
Let f be (-12)/9*(-3)/2. Let x(u) be the second derivative of 0 + 21/4*u**4 + 27/20*u**5 + 6*u**f - 12*u + 8*u**3. Factor x(b).
3*(b + 1)*(3*b + 2)**2
Factor 6*w**2 + 38*w**4 + 33*w**4 + 11*w**3 - 68*w**4.
w**2*(w + 3)*(3*w + 2)
Let x(j) = -15*j - j**3 + 4*j**3 - 4*j**3 - 31 + 18*j**2. Let i be x(17). Find d such that -1/3*d + 2/3*d**2 + 0 - 1/3*d**i = 0.
0, 1
Factor 4481*a**4 - 4472*a**4 + 3*a**3 - 9*a**2 + 3*a**5 + 0*a**3 - 6*a.
3*a*(a - 1)*(a + 1)**2*(a + 2)
Let k(m) be the first derivative of -m**3/3 + 2*m**2 - m + 29. Let g be k(2). Factor -4/7*t**2 + 0 + 0*t + 2/7*t**g.
2*t**2*(t - 2)/7
Let o = 156 + -161. Let s be o - (-5 + (1 - 1)). What is w in -2/3*w**2 + 22/15*w**4 - 4/5*w**3 + 4/15*w + s + 4/3*w**5 = 0?
-1, 0, 2/5, 1/2
Let s(f) = -8*f**2 + 146*f + 5. Let g(v) = -6*v**2 + 146*v + 4. Let p(o) = -5*g(o) + 4*s(o). Suppose p(k) = 0. What is k?
-73, 0
Let y be -9 - -5 - 14*12/(-40). Factor y*g**2 - 14/5*g + 49/5.
(g - 7)**2/5
Let g(f) = 15*f**5 + 68*f**4 + 98*f**3 + 72*f**2 + 17*f + 2. Let z(i) = i**4 - i. Let k(x) = g(x) - 6*z(x). Suppose k(n) = 0. What is n?
-1, -2/15
Suppose 3*i + 0*z - 37 = -5*z, 5*z - 29 = -i. Factor 9*p**3 - i*p**3 + 3*p - 4*p**3 - 4*p**2.
p*(p - 3)*(p - 1)
Let h be ((-19)/(-133))/((-3)/(-18)). Determine b, given that -2/21*b**4 + 4/21*b**2 - h - 8/7*b + 8/21*b**3 = 0.
-1, 3
Let x(g) be the third derivative of 5/6*g**3 + 1/4*g**5 - 1/24*g**6 - 16*g**2 - 5/8*g**4 + 0 + 0*g. Let x(p) = 0. What is p?
1
Determine r so that -4/5*r**4 + 36/5*r**3 - 96/5 + 176/5*r - 24*r**2 = 0.
2, 3
Suppose -15*t**3 - 5*t**5 + 89*t**3 + 13*t**3 + 23 - 50*t**2 + 22 - 37*t**3 + 5*t**4 - 45*t = 0. Calculate t.
-3, -1, 1, 3
Let n(y) be the third derivative of y**9/15120 - y**8/3360 + y**6/360 - y**5/120 + 5*y**4/8 + 4*y**2. Let k(f) be the second derivative of n(f). Factor k(v).
(v - 1)**3*(v + 1)
Let q = -19 - -19. Factor -2*p**3 - 4*p + p**2 + 4*p**2 + p**2 + q*p**2.
-2*p*(p - 2)*(p - 1)
Let q(h) be the first derivative of 10*h**6/7 - 166*h**5/35 + 9*h**4/7 + 158*h**3/21 - 48*h**2/7 + 8*h/7 + 56. Solve q(l) = 0.