3/4*i**2.
-(i - 2)**2*(3*i - 1)/4
Factor 3*k**2 + 5/2*k**4 + 17/2*k**3 - 10*k - 4.
(k - 1)*(k + 2)**2*(5*k + 2)/2
Let p(v) = -v**2 - 1. Let o(c) = -25*c**2 + 15*c - 30. Let l(r) = -o(r) + 20*p(r). Suppose l(g) = 0. What is g?
1, 2
Let f be (-20)/(-36)*-5 - -3. Determine p, given that 14/9*p**3 - f + 10/9*p - 4/9*p**4 - 2*p**2 = 0.
1/2, 1
Suppose 7*l - 11*l = 8. Let g be -2 + 7 + l + -1. Solve -18/7*r - 4/7 - 8/7*r**g = 0 for r.
-2, -1/4
Let d(w) be the second derivative of w**9/15120 - w**7/4200 - w**3/6 + 4*w. Let m(z) be the second derivative of d(z). Factor m(u).
u**3*(u - 1)*(u + 1)/5
Let x = 44/57 + -2/19. Suppose -8*b = -b. Suppose 2/3*u**4 + 0 + 0*u**3 - x*u**2 + b*u = 0. Calculate u.
-1, 0, 1
Let b(m) = -8*m**2 - 5*m + 3. Let t(l) = -25*l**2 - 15*l + 10. Let z(x) = 10*b(x) - 3*t(x). Factor z(w).
-5*w*(w + 1)
Let h(u) be the first derivative of -2/9*u**3 + 0*u**2 + 1/12*u**4 + 3 + 0*u. Factor h(c).
c**2*(c - 2)/3
Let j(h) be the third derivative of -h**5/100 - h**4/40 + h**3/5 + 4*h**2. Suppose j(s) = 0. Calculate s.
-2, 1
Let l(b) be the third derivative of b**9/211680 + b**8/35280 + b**7/17640 - b**5/20 - 2*b**2. Let z(s) be the third derivative of l(s). Factor z(a).
2*a*(a + 1)**2/7
Let u(c) = -9*c - 221. Let s be u(-25). Factor -14/3*k + 2/3*k**5 - 4/3*k**3 + 4/3 - 4/3*k**s + 16/3*k**2.
2*(k - 1)**4*(k + 2)/3
Let c = -302 - -304. Find x such that -1/8*x - 1/4 + 1/8*x**c = 0.
-1, 2
Let w = 135/2 - 67. Factor 1/4*n**5 - 1/4*n**4 + 1/4*n + 1/2*n**2 - w*n**3 - 1/4.
(n - 1)**3*(n + 1)**2/4
Suppose -4*t - 3*j + 3 = 0, -4*t + 4*j - 8*j = 0. Determine i so that 0*i**2 + 0*i - 2/3*i**4 + 0 + 2/3*i**t = 0.
0, 1
Factor 22*q + 5*q**2 + 4 - 27*q + 17*q.
(q + 2)*(5*q + 2)
Let f(x) be the second derivative of -7/90*x**6 - x - 5/9*x**4 + 4/9*x**3 + 0*x**2 - 13/30*x**5 + 0. Let f(d) = 0. Calculate d.
-2, 0, 2/7
Let 0 + 1/4*w + 3/4*w**3 - 1/4*w**4 - 3/4*w**2 = 0. Calculate w.
0, 1
Let b(o) be the first derivative of -14*o**3/3 + 5*o**2 + 4*o - 8. Factor b(h).
-2*(h - 1)*(7*h + 2)
Let t be (15 - 10)/((-8)/(-2)). Factor t*r**3 + 0 + 1/4*r**4 + r + 2*r**2.
r*(r + 1)*(r + 2)**2/4
Let h = -20 + 41/2. Let y(k) be the first derivative of -1/12*k**3 + h*k + 2 + 1/8*k**2. Factor y(p).
-(p - 2)*(p + 1)/4
Let v(h) = h**2 + 3*h + 2. Let y be v(-2). Let s be (-4)/((-8)/10) - y. Factor o**s + 0*o**5 - 2*o**2 - 3*o**5 - 6*o**4 - 6*o**3.
-2*o**2*(o + 1)**3
Let a(d) be the second derivative of d**5/10 + d**4 + 3*d**3 + 4*d**2 + 2*d. Suppose a(f) = 0. Calculate f.
-4, -1
Let j(y) be the first derivative of -2/5*y**2 - 3 + 2/5*y + 2/15*y**3. Determine g so that j(g) = 0.
1
Let j(r) = -149*r**3 + 80*r**2 + 59*r + 21. Let d(s) = -74*s**3 + 40*s**2 + 29*s + 11. Let q(m) = -11*d(m) + 6*j(m). Factor q(v).
-5*(v - 1)*(4*v + 1)**2
Let f(c) = -7*c**3 - 9*c**2 - 15*c - 4. Let n(h) = 3*h**3 + 4*h**2 + 7*h + 2. Let w(s) = -4*f(s) - 9*n(s). Solve w(y) = 0.
-1, 2
Let z = -238/9 + 250/9. Solve -z*r**5 + 4/3*r**2 + 0*r + 4/3*r**3 + 0 - 4/3*r**4 = 0 for r.
-1, 0, 1
Let f(n) be the second derivative of n**4/48 + n**3/4 - 14*n. Find p, given that f(p) = 0.
-6, 0
Suppose -15*l + 27 = -6*l. Let f(u) be the first derivative of -1/3*u**2 + l + 0*u + 2/9*u**3. Let f(v) = 0. What is v?
0, 1
Let r = 8 + -6. What is o in o + 0*o**5 - r*o - 2*o**2 + o**4 + o**5 + o**4 = 0?
-1, 0, 1
Let p = 28 + -19. What is v in -14 - 2*v**2 + 0*v - 3*v - 4 - p*v = 0?
-3
Let x(c) be the second derivative of -c**5/180 - 4*c**2 + 6*c. Let r(z) be the first derivative of x(z). Solve r(f) = 0.
0
Let a be 2/(-10)*(-3 - 3). Let w be -1*(2 + (-42)/15). Factor w + 6/5*h - a*h**3 - 4/5*h**2.
-2*(h - 1)*(h + 1)*(3*h + 2)/5
Let x(r) be the first derivative of -1/12*r**3 + 0*r - 3 + 1/4*r**2. Factor x(d).
-d*(d - 2)/4
Let i be -1*1*(-12)/288. Let n(a) be the third derivative of -1/240*a**5 + 0*a**4 + 0*a + i*a**3 - 2*a**2 + 0. Find g, given that n(g) = 0.
-1, 1
Let m(o) = o**4 + o**2 + o. Let g(f) = -4*f**5 + 44*f**4 - 84*f**3 + 84*f**2 + 12*f. Let v(q) = g(q) - 12*m(q). Determine t so that v(t) = 0.
0, 2, 3
Let b(z) be the second derivative of -2*z**7/105 - 2*z**6/15 - 7*z**5/25 - z**4/5 - 29*z. Suppose b(m) = 0. What is m?
-3, -1, 0
Let v = 1353/5 - 270. Factor 1/5*r**2 + 1/5*r**4 + 3/5*r - 2/5 - v*r**3.
(r - 2)*(r - 1)**2*(r + 1)/5
Let o(z) be the second derivative of -z**4/4 - 3*z**3/2 + 3*z. What is u in o(u) = 0?
-3, 0
Find j, given that 5*j**4 - j**4 - 3*j**4 + 2*j**4 = 0.
0
Let p(i) = i**2 - 13*i + 18. Let h be p(12). Factor q - q + h - q**2 - 5.
-(q - 1)*(q + 1)
Let i(y) be the second derivative of 2*y**7/21 + 14*y**6/15 + 7*y**5/5 - 19*y**4/3 - 32*y**3/3 + 40*y**2 + 3*y - 3. Solve i(a) = 0 for a.
-5, -2, 1
Let v(y) = y**5 - 2*y**3 - 2*y - 3. Suppose -4*i = -10 - 2. Let z(x) = -4 - x + 0*x + 3. Let t(p) = i*z(p) - v(p). Suppose t(g) = 0. Calculate g.
-1, 0, 1
Let v = -52 - -75. Suppose 4 - v*d**2 + 21*d**2 - 3 + d**4 = 0. What is d?
-1, 1
Let m(d) = 2*d**2 - 51*d - 22. Let w be m(26). Determine g, given that 2/3*g**3 - g + 1/3 - g**w + 1/3*g**5 + 2/3*g**2 = 0.
-1, 1
Let i(u) be the second derivative of u**4/3 - 4*u**3/3 - 6*u**2 - 2*u. Factor i(c).
4*(c - 3)*(c + 1)
Let a(l) = -l**3 + 9*l**2 - 6*l - 4. Let u be a(8). Suppose 2*p - u = -p. Factor -3/4*s**2 + 0 - 1/4*s**p - 1/4*s - 3/4*s**3.
-s*(s + 1)**3/4
Let k(d) be the first derivative of -1/540*d**6 + 0*d - 1/45*d**5 - 1/9*d**4 + 1/3*d**3 + 0*d**2 - 3. Let s(q) be the third derivative of k(q). Factor s(v).
-2*(v + 2)**2/3
Factor 1/2*y**5 + 0 + 1/2*y**4 - 3/2*y**3 + y - 1/2*y**2.
y*(y - 1)**2*(y + 1)*(y + 2)/2
Let t = 1 + 0. Let m(h) = h**5 + h**4 - h**3 + h. Let r(d) = 7*d**5 + 8*d**4 - 6*d**3 - 2*d**2 + 5*d. Let y(k) = t*r(k) - 6*m(k). Factor y(n).
n*(n - 1)*(n + 1)**3
Let t = 1261/30 + -42. Let q(o) be the second derivative of 1/3*o**2 + t*o**5 + 1/3*o**3 - o + 1/6*o**4 + 0. Factor q(c).
2*(c + 1)**3/3
Let g(w) = -w**2 - w. Let q(s) = 3*s**3 + s**2 + 2. Let f(j) = -g(j) - q(j). Let z be f(-2). Determine p so that -5*p - 17*p**3 + p - 8*p**3 + z*p**2 = 0.
0, 2/5
Let v(a) be the first derivative of -8*a**6/3 + 44*a**5/5 - 9*a**4 + 4*a**3/3 + 2*a**2 + 4. Factor v(l).
-4*l*(l - 1)**3*(4*l + 1)
Factor 6*b**3 + b - 10*b**2 + b + 0*b + 18*b**4.
2*b*(b + 1)*(3*b - 1)**2
Let n(r) be the second derivative of 2/5*r**2 + 0 + 3*r - 1/50*r**5 - 1/15*r**4 + 1/15*r**3. Suppose n(d) = 0. Calculate d.
-2, -1, 1
Let f be ((12/5)/6)/(-1 - -2). Let q(n) be the first derivative of -2/3*n**4 + 0*n**2 + 2/9*n**3 + 0*n + 3 + f*n**5. Suppose q(l) = 0. Calculate l.
0, 1/3, 1
Factor -1/5*v**2 - 2*v - 5.
-(v + 5)**2/5
Let l(b) be the second derivative of 3*b**5/20 - 5*b**4/28 - 8*b**3/7 - 6*b**2/7 + 28*b. Factor l(z).
3*(z - 2)*(z + 1)*(7*z + 2)/7
Let u(f) be the second derivative of -1/48*f**4 + 0 + 1/8*f**2 + 0*f**3 - 2*f. Factor u(m).
-(m - 1)*(m + 1)/4
Let x(u) be the first derivative of 4*u**4 - 40*u**3/3 + 17*u**2/2 - 2*u - 5. Let x(v) = 0. What is v?
1/4, 2
Let y(c) be the first derivative of 7*c**4 - 12*c**3 + 4*c**2 + 7. Factor y(r).
4*r*(r - 1)*(7*r - 2)
What is y in 6/5 + 0*y**2 - 1/5*y**3 + 7/5*y = 0?
-2, -1, 3
Let k(j) be the first derivative of j**6/2 + 3*j**5/5 - 3*j**4/4 - j**3 + 7. Factor k(m).
3*m**2*(m - 1)*(m + 1)**2
Let k(a) = -a + 1. Let v(b) = b**3 - b**2 + 6*b - 5. Let u(g) = 6*k(g) + v(g). Let f(r) = -7*r**3 - 8*r**2 - 3*r - 1. Let y(i) = -f(i) - u(i). Factor y(d).
3*d*(d + 1)*(2*d + 1)
Suppose -6*s + 5*s = 2*s. Let g(o) be the third derivative of -1/30*o**5 + 1/6*o**4 + 0*o - 2*o**2 + s + 0*o**3. Factor g(a).
-2*a*(a - 2)
Let c(n) be the third derivative of -n**9/15120 - n**8/1680 - n**7/630 + n**5/10 - 5*n**2. Let g(q) be the third derivative of c(q). Factor g(x).
-4*x*(x + 1)*(x + 2)
Suppose -2*g - 1 = -31. Factor -21*i**2 + 3*i - 3*i**5 - g*i**4 + 27*i**3 + 3*i + 6*i**5.
3*i*(i - 2)*(i - 1)**3
Let u(d) = -2*d**2 - d + 3. Let s(y) = -y**2 + 2. Let v(r) = 6*s(r) - 4*u(r). Find i, given that v(i) = 0.
-2, 0
Let d(j) = -75*j**2 + 30*j - 7. Let q(b) be the third derivative of -35*b**5/4 + 35*b**4/4 - 8*b**3 + 3*b**2. Let n(f) = 27*d(f) - 4*q(f). Factor n(r).
3*(5*r - 1)**2
Factor 0*z**3 - 4/5*z**2 + 1/5*z**5 + 0*z + 3/5*z**4 + 0.
z**2*(z - 1)*(z + 2)**2/5
Find m, given that 0*m**2 - 20*m**2 - 5*m**3 + 757*m - 777*m = 0.
-2, 0
Let a(s) be the second derivative 