 + -11. Let z(b) = b**j + 2 - 6*b**4 + 5*b**4 - 1. Let h(r) = -k(r) - 2*z(r). Solve h(q) = 0.
-1, 0
Let q(p) = -15*p**3 + 25*p**2 + 5*p - 35. Let i(c) = 53 + 97*c**3 - 9*c**2 - 7*c - 29*c**2 - 75*c**3. Let g(o) = 5*i(o) + 7*q(o). Determine f so that g(f) = 0.
-1, 2
Let c be (-15)/(-156) - 19/((-741)/6). Find n, given that -c*n**3 - 3/4 - 7/4*n - 5/4*n**2 = 0.
-3, -1
Let i(r) be the third derivative of r**8/3192 + 2*r**7/1995 - r**6/380 - 2*r**5/285 + r**4/57 + 231*r**2. Solve i(z) = 0.
-2, 0, 1
Let k(c) be the first derivative of 4*c**2 - 5/3*c**3 - 4*c + 1/4*c**4 + 2. Factor k(b).
(b - 2)**2*(b - 1)
Let u(m) be the third derivative of -m**6/120 + m**5/15 - 7*m**4/32 + 3*m**3/8 + 123*m**2. Solve u(d) = 0 for d.
1, 3/2
Suppose 0 = -3*s - 4 - 11, -5*s - 15 = 5*f. Let 3/8 - 3/8*j**f + 3/8*j**3 - 3/8*j = 0. Calculate j.
-1, 1
Let r(x) be the third derivative of x**5/18 + 5*x**4/24 - 50*x**3/9 + 42*x**2 - 2. Factor r(k).
5*(k + 4)*(2*k - 5)/3
Let g(c) = -2*c**2 + 4*c + 5. Let d be g(4). Let o be (23 - 25) + 3/((-15)/d). Factor 2/5 + o*t - 1/5*t**2.
-(t - 2)*(t + 1)/5
Let v(c) = c**3 + 8*c**2 - c - 8. Let p be v(-8). Suppose 0 = -q - p*q. Suppose 3 + q + 16*h**5 - 5 - 4*h**3 - 12*h + 24*h**4 - 22*h**2 = 0. What is h?
-1, -1/2, 1
Let n = 2146 - 2142. Factor 2/7*s + 0 + 1/7*s**n + 5/7*s**2 + 4/7*s**3.
s*(s + 1)**2*(s + 2)/7
Let f be 36/((-6)/(-2)) - 2. Let m = f + -16. Let s(u) = -3*u**2 - 6*u. Let v(x) = 2*x**2 + 5*x. Let c(n) = m*v(n) - 5*s(n). Determine p, given that c(p) = 0.
0
Let u(b) be the first derivative of 3*b**5/25 + 3*b**4/4 + 3*b**3/5 - 27*b**2/10 + 63. Solve u(g) = 0 for g.
-3, 0, 1
Let o(k) be the first derivative of 5*k**4/6 - k**3 - 2*k**2 + 13*k + 4. Let i(x) be the first derivative of o(x). Suppose i(t) = 0. Calculate t.
-2/5, 1
Let b(p) be the first derivative of 10*p**2 - 26/3*p**3 + 8*p + 7/4*p**4 + 27. Factor b(l).
(l - 2)**2*(7*l + 2)
Solve 0 + 2*t**4 + 2/5*t - 18/5*t**3 + 6/5*t**2 = 0.
-1/5, 0, 1
Factor -5/3*i - 2/3*i**2 - 1/3*i**5 + 1 - 1/3*i**4 + 2*i**3.
-(i - 1)**3*(i + 1)*(i + 3)/3
Let r(f) be the second derivative of f**3 + 0 + 0*f**2 - 5*f + 1/2*f**4 + 3/40*f**5. Solve r(l) = 0.
-2, 0
Solve -3*k**2 + 0 + 25*k - 6*k**3 - 3*k**3 + k**4 + 11 + 4 + 3 = 0 for k.
-1, 2, 9
Let j(t) be the second derivative of 0 + 1/3*t**4 - 1/2*t**3 + 30*t + 0*t**2 - 1/20*t**5. Determine x so that j(x) = 0.
0, 1, 3
Let j(w) be the second derivative of 5/4*w**5 - 5/6*w**3 + 9*w - 1/2*w**6 + 0*w**2 - 2 - 5/12*w**4. Factor j(i).
-5*i*(i - 1)**2*(3*i + 1)
Let w be 1 + 5 + (-3)/9*12. Suppose 2*m**3 + 4*m + 13/3*m**w + 4/3 + 1/3*m**4 = 0. What is m?
-2, -1
Solve 0 + 12/5*i**2 - 18/5*i**3 + 3/5*i**5 - 3/5*i**4 + 24/5*i = 0.
-2, -1, 0, 2
Let c = -5224 - -26207/5. Let v = c - 17. Solve v*a**2 - 4/5*a + 2/5 = 0.
1
Let p be 5 - (3170/130 - 7 - 13). Factor -2/13*d**2 - 10/13*d - p.
-2*(d + 1)*(d + 4)/13
Let t be 2/16 - (-2)/2*0. Let c(d) be the third derivative of 0*d**5 + 0*d**7 - t*d**4 + 0 + 1/20*d**6 + 0*d + 0*d**3 - 5*d**2 - 1/112*d**8. Factor c(n).
-3*n*(n - 1)**2*(n + 1)**2
Suppose -4*q + h - 6*h = 0, 2*q = -h + 6. Let b(p) be the first derivative of -q + 0*p - 1/3*p**3 + 1/2*p**2. Factor b(i).
-i*(i - 1)
Let o(l) be the second derivative of -4*l**7/105 + l**6/25 + l**5/50 - 21*l. Factor o(p).
-2*p**3*(p - 1)*(4*p + 1)/5
Suppose 2*z + 2*w - 6 = z, z + 5*w = 9. Suppose 5*h = 2*b + 16, z*h - 18 = -3*b + h. Factor 3/4*n**3 + 1/4*n**b + 0 + 3/4*n**4 + 0*n + 1/4*n**5.
n**2*(n + 1)**3/4
Suppose 2/9*m**2 - 2/9*m - 4/9 = 0. What is m?
-1, 2
Suppose j + 3*j = 0. Suppose 12 = 4*h - 4*p + 8*p, j = p + 2. Factor 10*l**2 - 2*l**h - l**3 + 10*l**2 + 3*l**3 - 8*l**4 - 16 + 4*l**5 - 8*l.
2*(l - 2)**3*(l + 1)**2
Let h(v) = 12*v - 151. Let s be h(13). Let y(w) = w**2 - w. Let u be y(1). Factor n**5 + u*n**s - 7*n**3 + 6*n**3.
n**3*(n - 1)*(n + 1)
Let w be 0 + (-2)/(-10) - (-172)/(-10). Let f = -14 - w. What is u in -27/8*u**f - 9*u**4 - 3/8*u**2 + 0 + 0*u - 6*u**5 = 0?
-1, -1/4, 0
Let g(b) be the third derivative of b**5/12 + 40*b**4/3 - 578*b**2. Suppose g(p) = 0. Calculate p.
-64, 0
Let p = -10 + 15. Suppose p*m - 2*i = 10, -4*i = -3*m - 2 + 8. Let 6/5*g**m + 4/5*g**4 - 1/5*g + 0 - 9/5*g**3 = 0. What is g?
0, 1/4, 1
Let h = 5/12 + -1/6. Let v(t) be the second derivative of 0*t**2 + h*t**3 + 0 - 1/24*t**4 - 5*t. Suppose v(c) = 0. What is c?
0, 3
Let p(l) be the third derivative of -l**5/30 - l**4 - 12*l**3 - l**2 - 16. Factor p(u).
-2*(u + 6)**2
Let w be 19 + 291/(-15) + (-27)/(-30). Factor w*b - 3/2*b**2 - 1/2*b**3 + 1/2 + b**4.
(b - 1)**2*(b + 1)*(2*b + 1)/2
Suppose 852*y = 854*y. Let 2*l**2 - 1/3*l + y = 0. What is l?
0, 1/6
Let j(n) be the second derivative of 0*n**2 + 0 + 11*n + 1/12*n**4 - 1/6*n**3 + 1/20*n**5 - 1/30*n**6. Determine g so that j(g) = 0.
-1, 0, 1
Suppose -36 = -4*u + 84. Let x be 4 - u/100*(-232)/(-18). Factor -2/15*r**2 + 0 - x*r.
-2*r*(r + 1)/15
Let k(i) be the third derivative of -i**6/120 + 3*i**5/40 - 5*i**3/6 + 11*i**2. Let w(p) be the first derivative of k(p). Suppose w(q) = 0. What is q?
0, 3
Let l(i) be the third derivative of 0 + 0*i - 1/3*i**5 + 25/336*i**8 + 0*i**3 + 2/3*i**6 - 17/42*i**7 + 0*i**4 + 18*i**2. Determine f, given that l(f) = 0.
0, 2/5, 1, 2
Let g = 172 - 168. Let y(c) be the first derivative of 0*c + 2/3*c**3 + 1/2*c**g + 0*c**2 + 3. Factor y(n).
2*n**2*(n + 1)
Let c = 8 + -8. Factor 4/5*u + c + 2/5*u**2.
2*u*(u + 2)/5
Suppose 3*y - 11 - 13 = 0. Suppose -y*g + 28 = -g. Factor 8 - 1 - 3 - g*h**2.
-4*(h - 1)*(h + 1)
Let g = -4105/2 + 2053. Factor 1/4*s**3 + g - 3/4*s + 0*s**2.
(s - 1)**2*(s + 2)/4
Let 3/7*a**2 + 8748/7 + 324/7*a = 0. Calculate a.
-54
Let m(g) be the third derivative of 0*g + 1/160*g**6 + 0 + 1/4*g**3 + 1/20*g**5 + 5/32*g**4 + 53*g**2. Factor m(h).
3*(h + 1)**2*(h + 2)/4
Let g(z) be the second derivative of z**9/15120 - z**7/4200 - 13*z**3/6 - 5*z. Let q(h) be the second derivative of g(h). Find s, given that q(s) = 0.
-1, 0, 1
Factor 91*r**3 + 115*r**4 - 47*r**3 + 25*r**2 + 61*r**3 + 40*r**5 - 5*r.
5*r*(r + 1)**3*(8*r - 1)
Let a = 49396/7 - 7054. Factor -2/7*b**3 - 2 - a*b**2 - 30/7*b.
-2*(b + 1)**2*(b + 7)/7
Let m(a) = -8*a + 259. Let t be m(32). Factor 0*j + 0*j**2 + 0 + 14/3*j**5 + 4/3*j**t - 6*j**4.
2*j**3*(j - 1)*(7*j - 2)/3
Suppose -5*y = -12 + 2. Suppose -28*u**2 + 4*u**3 + 28*u**y - 4*u = 0. Calculate u.
-1, 0, 1
Let i(r) = -3*r**4 + 2*r**3 - 2*r - 1. Let f(a) = 4*a**4 - 2*a**3 + 2*a + 2. Let b(d) = -2*f(d) - 3*i(d). Suppose b(y) = 0. What is y?
-1, 1
Let s(u) = -u**2. Let z(c) be the second derivative of -c**4/2 + c**2/2 - 12*c. Let y(g) = -20*s(g) + 4*z(g). Suppose y(x) = 0. What is x?
-1, 1
Let i = 1633/5 - 326. Factor 2/5*t - i + 1/5*t**2.
(t - 1)*(t + 3)/5
Let 2*a**3 + 12*a**2 - 16 - 11*a - 5*a + 95*a**4 + 14*a**3 - 91*a**4 = 0. What is a?
-2, -1, 1
Let d(b) = b**3 - 237*b**2 + 18720*b - 493039. Let x(s) = 3*s**3 - 711*s**2 + 56161*s - 1479117. Let p(l) = 8*d(l) - 3*x(l). Determine a, given that p(a) = 0.
79
Let j = 12889/3028 - 5/757. Suppose -9/8*o**4 + j*o**3 - 7/2*o**2 + 0 - o = 0. What is o?
-2/9, 0, 2
Factor -12/5*y**3 + 21/5*y**2 + 0 + 1/5*y**4 - 2*y.
y*(y - 10)*(y - 1)**2/5
Let u(b) be the third derivative of b**6/240 - 23*b**5/60 + 143*b**4/12 - 242*b**3/3 + 19*b**2 + 4*b. Factor u(m).
(m - 22)**2*(m - 2)/2
Let h(l) = l**3 + 13*l**2 - 12*l + 2. Let z(q) = -q - 1. Let k(s) = 3*h(s) + 6*z(s). Factor k(b).
3*b*(b - 1)*(b + 14)
Let d(j) = 5*j**5 + 39*j**4 + 58*j**3 - 4*j**2 - 4*j - 4. Let y(l) = 5*l**5 + 38*l**4 + 56*l**3 - 3*l**2 - 3*l - 3. Let r(z) = 3*d(z) - 4*y(z). Factor r(g).
-5*g**3*(g + 2)*(g + 5)
Suppose 212 = 171*t - 65*t. Suppose -4/7*x**3 + 6/7*x**4 - 2/7 - 4/7*x**t + 6/7*x - 2/7*x**5 = 0. What is x?
-1, 1
Suppose -5*v - 3*t + 106 = 0, 7*v - 5*t = 2*v + 90. Factor -8*z**2 + v*z**2 - 7*z**2.
5*z**2
Let p(v) be the first derivative of -26 + 1/8*v**4 - 1/6*v**3 - 1/4*v**2 + 1/10*v**5 + 0*v. Factor p(d).
d*(d - 1)*(d + 1)**2/2
Let w(o) be the first derivative of o**4/4 - 13*o**3 - o**2/2 + 39*o - 387. Factor w(p).
(p - 39)*(p - 1)*(p + 1)
Let r = 5 + -1. Factor -32*q**2 - r*q**5 - 6*q**3 - 30*q**3 + 16*q**2 - 24*q**4.
-4*q**2*(q + 1)**2*(q + 4)
Let q(f) be the second derivative of 0 + 9*f + 0*f**2 + 2/3*f**3 + 0*f**4 - 1/20*f**5. What is g in q(g) = 0?
-2, 0, 2
Let b(j) be 