-6). Factor z - 8/5*g**i + 3/5*g**4 + 2/5*g + 3/5*g**2.
g*(g - 2)*(g - 1)*(3*g + 1)/5
Let v(u) = -u**3 - 3*u**2 + 13*u + 40. Let w be v(-4). Solve 4/3*c + c**2 - 4/3 - 4/3*c**3 + 1/3*c**w = 0.
-1, 1, 2
Let h(k) be the third derivative of -k**7/420 + k**6/120 + k**5/10 - 5*k**4/6 + 8*k**3/3 + 2*k**2 + 360*k. Let h(b) = 0. What is b?
-4, 2
Let n be 3*3/(-90) + 3/30. Factor 0*t**2 + 0*t + n*t**3 - 1/4*t**5 + 0 - 1/2*t**4.
-t**4*(t + 2)/4
Solve -2/3*a**3 - 4/3*a**2 - 1/9*a**4 - 10/9*a - 1/3 = 0.
-3, -1
Let n(c) = 6*c**2 + 4*c. Let z(i) be the second derivative of 5/6*i**3 + 7/12*i**4 + 0 - i + 0*i**2. Let k(m) = -6*n(m) + 5*z(m). Suppose k(y) = 0. Calculate y.
0, 1
Let v(n) be the first derivative of -3*n**4/4 + 16*n**3/3 - 25*n**2/2 + 12*n - 103. Solve v(s) = 0.
1, 4/3, 3
Let v(l) = -2*l**2 - 85*l - 115. Let c be v(-41). Let y(w) be the first derivative of 0*w**3 + 2*w**6 - 28/15*w**5 + 0*w**2 - c + 0*w - 2/3*w**4. Factor y(q).
4*q**3*(q - 1)*(9*q + 2)/3
Let t(v) = -2*v**3 + 36*v**2 - 62*v + 32. Let c(u) = -4*u**3 + 73*u**2 - 124*u + 65. Let r(w) = 2*c(w) - 5*t(w). Find b, given that r(b) = 0.
1, 15
Factor -27*c**3 - 9*c + 32*c**3 - 11*c.
5*c*(c - 2)*(c + 2)
Let x(s) = 52*s**3 - 32*s**2 + 16*s + 12. Let d(f) = 2*f**3 - f**2 + 2*f + 1. Let t(i) = -12*d(i) + x(i). Let t(a) = 0. What is a?
-2/7, 0, 1
Let y(s) be the third derivative of 0*s + 51*s**2 + 0*s**4 + 1/1176*s**8 + 0*s**3 - 4/735*s**7 + 1/140*s**6 + 0 + 0*s**5. Find h, given that y(h) = 0.
0, 1, 3
Let i = 79/2 - 118/3. Factor 1/6*p + 1/6 - i*p**3 - 1/6*p**2.
-(p - 1)*(p + 1)**2/6
Factor 12 + 177*o**2 + 63*o**2 + 98*o**2 - 156*o + 6.
2*(13*o - 3)**2
Suppose -g + 5*r = -19, -2 = 5*g + 5*r - 7. Suppose g*k + k = 15. Factor -15*z**2 + 0*z**3 + 10 + 6 - 4*z**3 + k*z**2.
-4*(z - 1)*(z + 2)**2
Let b(s) be the second derivative of -1/30*s**5 + 0*s**4 + 0*s**2 + 0*s**3 + s + 0 - 1/135*s**6. Factor b(f).
-2*f**3*(f + 3)/9
Suppose 0 = 58*k - 206 + 32. Let z(t) be the first derivative of k + 488*t**3 + 125/2*t**6 + 216*t**2 + 48*t + 315*t**5 + 570*t**4. Factor z(d).
3*(d + 1)*(d + 2)*(5*d + 2)**3
Let u(j) be the first derivative of 0*j + 2/15*j**3 - 1/10*j**4 + 2/75*j**5 - 1/15*j**2 + 4. What is m in u(m) = 0?
0, 1
Suppose -13 = -2*r + 39. Solve 4*u**2 - 1 - 2*u**2 - 26*u**4 - r*u**4 + 51*u**4 = 0.
-1, 1
Let p(c) be the second derivative of -c**6/30 - c**5/5 + c**4/6 + 2*c**3 - 9*c**2/2 + 214*c. Factor p(h).
-(h - 1)**2*(h + 3)**2
Let l be 360/(-75)*(-5)/2. Let n(z) = z**3 - z**2 + z + 1. Let i(d) = 10*d**3 - 4*d**2 + 2*d + 16. Let p(k) = l*n(k) - i(k). Suppose p(h) = 0. Calculate h.
1, 2
Let m(v) be the first derivative of -v**4/16 - 5*v**3/4 - 47*v**2/8 - 33*v/4 + 294. Solve m(u) = 0 for u.
-11, -3, -1
Let g = -1/6 - -1/3. Let h(b) be the third derivative of 7/120*b**5 - 7/48*b**4 + g*b**3 - 8*b**2 + 0 - 1/120*b**6 + 0*b. Let h(v) = 0. Calculate v.
1/2, 1, 2
Let f = 37 + -27. Suppose f*s**3 + 9*s + 3*s - 3*s**4 + 5*s**3 - 3*s - 21*s**2 = 0. What is s?
0, 1, 3
Let k(x) be the first derivative of 12*x**5/5 + 26*x**4 + 149*x**3/3 + 32*x**2 + 7*x - 155. Solve k(h) = 0.
-7, -1, -1/2, -1/6
Let r(k) be the second derivative of k**6/150 - 2*k**5/25 + 11*k**4/30 - 4*k**3/5 + 9*k**2/10 + 361*k. Determine m, given that r(m) = 0.
1, 3
Let z(b) = 769*b + 2. Let x be z(0). Find h such that 324*h**x - 75*h**4 - 210*h**3 + 96/5 - 696/5*h = 0.
-4, 2/5
Let r(u) be the second derivative of -10*u**7/21 - 62*u**6/15 - 66*u**5/5 - 52*u**4/3 - 16*u**3/3 - 2*u + 118. Factor r(p).
-4*p*(p + 2)**3*(5*p + 1)
Let n be 56/84*(-27)/(-6). Let l(w) be the first derivative of n - w**2 + 4/3*w + 2/9*w**3. Let l(i) = 0. Calculate i.
1, 2
Suppose 2*j = -0*j + 6. What is h in 13*h - 27*h**2 + 2*h - j + 2*h + h = 0?
1/3
Let u(k) = k**3 + 13*k**2 + 84*k + 132. Let z be u(-2). Factor z*f**2 - 19/2*f + 2*f**3 + 5/2.
(f + 5)*(2*f - 1)**2/2
Let r(c) = 6*c + 9. Let l be r(7). Let h(q) = 3*q**2 - 2*q + 1. Let f(y) = 25*y**2 - 17*y + 9. Let n(i) = l*h(i) - 6*f(i). Factor n(m).
3*(m - 1)*(m + 1)
Let m = 103 - 36. Factor m*g**2 + 2*g + 3*g**3 + g**3 - 36*g**2 - 38*g**2 + 1.
(g - 1)**2*(4*g + 1)
Suppose -9*j + j + 16 = 0. Let u be (-88)/(-90) - (80/(-36) + j). Solve -3/5*b + u - 3/5*b**2 = 0 for b.
-2, 1
Let x = 245 + -1224/5. Let p(c) be the second derivative of 1/3*c**3 - x*c**5 + 0 - 5*c + 0*c**4 + 0*c**6 + 0*c**2 + 1/21*c**7. Solve p(g) = 0 for g.
-1, 0, 1
Let p(w) be the third derivative of w**7/735 - 11*w**6/210 + 37*w**5/210 + 5*w**4/7 - 861*w**2. Solve p(k) = 0.
-1, 0, 3, 20
Let i(j) be the third derivative of j**5/90 + 13*j**4/36 - 10*j**3/3 + 97*j**2. Factor i(z).
2*(z - 2)*(z + 15)/3
Let n(d) be the third derivative of -d**8/1680 - d**7/105 - d**6/40 + d**5/30 + 2*d**4/15 - 7*d**2. Solve n(f) = 0.
-8, -2, -1, 0, 1
Let o be (38/(-4))/((-1)/2). Let x be (6/2 - -2) + o/(-4). Suppose 0*u**2 - x*u + 1/4*u**3 + 0 = 0. Calculate u.
-1, 0, 1
Let k(f) be the first derivative of 8*f**3/3 + 7*f**2/2 + 2. Let p be (-175)/10*(-16)/(-10). Let s(a) = a**2 + a. Let q(u) = p*s(u) + 4*k(u). Factor q(n).
4*n**2
Let r(l) = 4*l**3 - 27*l**2 + 68*l - 40. Let k(z) = -6*z**3 + 40*z**2 - 102*z + 60. Let x(f) = -5*k(f) - 8*r(f). Factor x(g).
-2*(g - 5)*(g - 2)*(g - 1)
Let h(q) be the first derivative of -q**4/20 + 19*q**3/15 - 119*q**2/10 + 49*q - 251. Factor h(a).
-(a - 7)**2*(a - 5)/5
Let f = 938 + -57220/61. Let q = f + 616/183. Solve 0 - 8/15*o - 56/15*o**2 - q*o**5 - 46/5*o**3 - 28/3*o**4 = 0.
-1, -2/5, 0
Let y be (12/75)/(24 + 358/(-15)). Factor -y + 7/5*l - 1/5*l**2.
-(l - 6)*(l - 1)/5
Let p(i) be the first derivative of -i**6/9 + 44*i**5/15 - 44*i**4/3 + 28*i**3/3 + 51*i**2 + 412. Determine l so that p(l) = 0.
-1, 0, 3, 17
Let d(v) = -v**2 + 10*v - 16. Let q be d(7). Factor 14*a**2 - 8*a - 3*a**3 - 29*a**2 - 9 - q*a - 8*a.
-3*(a + 1)**2*(a + 3)
Find v, given that 585 + 35*v**2 - 621 - 16*v**4 + 17*v**2 + 276*v**3 - 148*v - 128*v**5 = 0.
-1, -1/4, 1, 9/8
Let j(z) be the second derivative of 1/10*z**6 - 7*z + 0 - 3/28*z**7 + 3/10*z**5 - 1/4*z**3 + 0*z**2 - 1/4*z**4. Determine a so that j(a) = 0.
-1, -1/3, 0, 1
Let i(s) be the first derivative of -11*s**4/20 - 59*s**3/5 - 8*s**2/5 + 171. What is l in i(l) = 0?
-16, -1/11, 0
Let i(c) be the second derivative of 72*c**3 + 0 + 18*c + 162*c**2 + 18*c**4 + 2/15*c**6 + 12/5*c**5. Let i(x) = 0. Calculate x.
-3
Suppose -3*p - 8 = -5*p, -2*p = -4*b. Solve -50 + d + 4*d + 46 - d**b = 0.
1, 4
Let u(t) = -9*t**3 - 55*t**2 + 14*t + 230. Let x(h) = 147*h**3 + 879*h**2 - 225*h - 3681. Let m(v) = -33*u(v) - 2*x(v). Factor m(z).
3*(z - 2)*(z + 2)*(z + 19)
Let y(d) be the second derivative of d**8/504 - d**7/315 - d**6/180 + d**5/90 - 19*d**2/2 - 9*d. Let o(t) be the first derivative of y(t). Factor o(l).
2*l**2*(l - 1)**2*(l + 1)/3
Let m be (-160)/(-200) + (-4)/5. Let t(n) be the third derivative of 1/150*n**5 + 0*n**4 + m + 0*n - 1/300*n**6 + 0*n**3 + n**2. Factor t(q).
-2*q**2*(q - 1)/5
Let m = 1091/264 - 45/11. Let q(w) be the first derivative of 5 + 3/16*w**4 + m*w**6 + 0*w - 1/12*w**3 - 3/20*w**5 + 0*w**2. Let q(l) = 0. Calculate l.
0, 1
Let a(d) be the first derivative of 4/3*d**3 + 1/4*d**4 + 0*d + 3/2*d**2 + 8. Factor a(y).
y*(y + 1)*(y + 3)
Suppose -4*q = 6*q - 80. Suppose -23 = -q*b - 7. Factor -2/9*o + 0 - 2/3*o**3 - 2/3*o**b - 2/9*o**4.
-2*o*(o + 1)**3/9
Let w be 38/(1 - 8*2/(-12)). Let o = w - 328/21. Factor 0*q + 0 - o*q**2.
-2*q**2/3
Let z(q) be the second derivative of -3*q**4 + 130*q**3/3 - 28*q**2 + 3*q. Factor z(u).
-4*(u - 7)*(9*u - 2)
Let f(t) = t**4 - 2*t**3 + t. Let n(p) = -2*p**4 - 2*p**3 - 44*p**2 - 27*p. Let g(i) = -22*f(i) - 2*n(i). Suppose g(j) = 0. What is j?
-2/3, 0, 4
Let d(j) = -3*j + 6. Let i = 110 - 108. Let p be d(i). Suppose p*l**3 + 0 - 1/2*l**4 + 1/2*l**2 + 0*l = 0. Calculate l.
-1, 0, 1
Factor 1/2*j**2 + 3*j + 9/2.
(j + 3)**2/2
Let p(j) be the first derivative of -j**5/20 + j**4/8 + j**3/4 - j**2/2 + 7*j - 10. Let a(f) be the first derivative of p(f). Let a(l) = 0. Calculate l.
-1, 1/2, 2
Let y(b) be the third derivative of 1/10*b**6 - 8*b**2 + 1/30*b**5 - 1/6*b**4 + 0*b**3 - 1/84*b**8 + 1/105*b**7 + 0 + 0*b. Determine j so that y(j) = 0.
-1, 0, 1/2, 2
Let x(y) be the third derivative of 25*y**8/504 - 22*y**7/9 + 6229*y**6/180 - 154*y**5/3 + 25*y**4 + 561*y**2. Find n such that x(n