*y**3/3 - 48*y**2. Factor i(r).
(r - 4)*(r + 4)
Let r(i) = -i**4 - i**3 - i**2 - i. Let b be ((-1)/(-2))/(2/(-4)). Let k(v) = 6*v**4 + 6*v**3 + 2*v**2 + 2*v. Let h(f) = b*k(f) - 4*r(f). Factor h(w).
-2*w*(w - 1)*(w + 1)**2
Let s(j) be the first derivative of -j**4/30 + 2*j**3/9 - 8*j**2/15 + 8*j/15 - 17. Solve s(g) = 0 for g.
1, 2
Suppose 4*h - 73 + 65 = 0. Suppose -2/3*a + 1/3*a**3 - 1/3*a**h + 0 = 0. What is a?
-1, 0, 2
Let t(x) be the first derivative of 2 + 1/6*x**3 - 1/2*x - 1/4*x**2 + 1/8*x**4. Factor t(a).
(a - 1)*(a + 1)**2/2
Suppose -2*x - 2 - 4 = 0. Let h(k) = 4*k**2 - 3*k - 1. Let q(r) = -r**2 + r. Let g(b) = x*q(b) - h(b). Factor g(f).
-(f - 1)*(f + 1)
Let u(f) be the second derivative of -4*f**6/165 - f**5/10 - 3*f**4/22 - f**3/33 + f**2/11 + 11*f. Factor u(p).
-2*(p + 1)**3*(4*p - 1)/11
Solve 2*b**5 - 3*b**3 + 7*b**3 + 0*b**3 + 2*b**2 + 2 - 6*b - 6*b**4 + 2*b**2 = 0 for b.
-1, 1
Let f(x) be the second derivative of x + 2/3*x**3 - 3/40*x**5 + 0 - 1/24*x**4 - x**2. Solve f(t) = 0 for t.
-2, 2/3, 1
Let i(x) be the second derivative of -x**7/420 + x**6/60 - x**5/20 + x**4/12 - x**3/12 - 3*x**2/2 - x. Let j(h) be the first derivative of i(h). Factor j(o).
-(o - 1)**4/2
Let o(y) = -y**2 + 16*y - 15. Let x be o(15). Let t(c) be the third derivative of 3*c**2 + 1/30*c**5 + 0*c + 0 + x*c**3 + 1/12*c**4. Factor t(r).
2*r*(r + 1)
Let d be 2/(-7) + (-4)/(-14). Let a = 23/86 - -10/43. Suppose -a*l**4 + 1/2*l**2 + 0*l**3 + 0 + d*l = 0. What is l?
-1, 0, 1
Let i(s) = -s**2 + 2. Let a be i(0). Determine p, given that -1 - p - 2*p**a + p + 3 = 0.
-1, 1
Let i(q) be the third derivative of -q**6/720 + q**5/90 + 11*q**4/144 + q**3/6 + 18*q**2 - q. Find j, given that i(j) = 0.
-1, 6
Let w(s) be the first derivative of -s**6/40 - 3*s**5/10 - 9*s**4/8 - 5*s**2/2 - 2. Let q(z) be the second derivative of w(z). Factor q(l).
-3*l*(l + 3)**2
Let m(v) = -3*v**2 + 18*v + 18. Let y = -5 - 0. Let z(s) = -2*s**2 + 17*s + 17. Let g(x) = y*m(x) + 6*z(x). Factor g(q).
3*(q + 2)**2
Let y(r) be the second derivative of r**4/21 + 4*r**3/21 + 2*r**2/7 + 12*r. Factor y(u).
4*(u + 1)**2/7
Let y(p) = -2*p**3 + 7*p**2 - 3*p + 2. Let c be y(3). Solve -1/7*r**c - 2/7*r - 1/7 = 0 for r.
-1
Let i be (1/((-2)/8))/(-9). Factor i*w**4 - 2/9*w**2 + 0*w + 2/9*w**3 + 0.
2*w**2*(w + 1)*(2*w - 1)/9
Factor 0*z**2 - 119*z**3 + 6*z**2 + 110*z**3 + 3*z**4.
3*z**2*(z - 2)*(z - 1)
Factor 4*g**4 - 2*g**4 - 8*g**3 + 4*g**2 + g**4.
g**2*(g - 2)*(3*g - 2)
Let f(k) = 4 - k**3 - 2 - 48*k**2 - 10*k + 41*k**2 + 4*k. Let r be f(-6). Factor 1/3*i - 1/3*i**r + 0.
-i*(i - 1)/3
Let f = 9 - 5. Let t be f/15*(-15)/(-6). Factor 0 + t*p**2 - 2/3*p.
2*p*(p - 1)/3
Let l(w) be the first derivative of -1 - 2/15*w**3 + 1/25*w**5 + 0*w - 1/20*w**4 + 0*w**2. Find v, given that l(v) = 0.
-1, 0, 2
Let a(h) = 7*h**2 - 9*h + 7. Let s(p) = -4 + 4*p - 6*p**2 + 4*p - 2. Suppose 6*y - 3*y = -15. Let g(c) = y*s(c) - 4*a(c). Determine x, given that g(x) = 0.
1
Let c(p) be the second derivative of -5*p**4/12 + 20*p**3/3 - 40*p**2 - 17*p. Solve c(x) = 0.
4
Let y(f) be the first derivative of f**4/8 - f**3/2 + 10. Factor y(r).
r**2*(r - 3)/2
Let i(q) be the third derivative of 2*q**6/15 + 6*q**5/5 + 9*q**4/2 + 9*q**3 + q**2. Factor i(u).
2*(2*u + 3)**3
Let g(i) = -i**2 - 21*i - 104. Let k be g(-9). Solve 0*y**k - 2/5*y**5 - 2/5*y + 0 + 0*y**2 + 4/5*y**3 = 0 for y.
-1, 0, 1
Let i be 4386/10 - 12/(-15). Let w = -438 + i. Factor -3/5*k**2 + 7/5*k**3 - w*k - 2/5 + k**4.
(k - 1)*(k + 1)**2*(5*k + 2)/5
Suppose 9 - 3 = 3*m. Factor 2*j**m - j**4 + 0*j**4 + 3*j**4 - 4*j**2.
2*j**2*(j - 1)*(j + 1)
Let q(r) be the first derivative of -2 + 0*r + r**4 - 3/5*r**5 + 0*r**2 - 1/3*r**3. Factor q(v).
-v**2*(v - 1)*(3*v - 1)
Let u = -17 - -17. Let q(o) be the third derivative of u*o**3 + 2*o**2 + 0 + 1/120*o**4 + 0*o + 1/300*o**5. Solve q(r) = 0 for r.
-1, 0
Let q(h) be the third derivative of 1/60*h**5 + 0*h + 2*h**2 - 1/2*h**3 + 0*h**4 - 1/180*h**6 + 0. Let s(o) be the first derivative of q(o). Factor s(f).
-2*f*(f - 1)
Let t be ((-84)/9)/(1/3). Let c be (-16)/(-56) - (-1)/t. Factor 1/4*n**3 + 0 + 0*n**2 - c*n.
n*(n - 1)*(n + 1)/4
Suppose y = 6 - 1. Let l be (y/(-2) + 2)*-6. Factor 1/2*w**2 + 0 + 0*w - 1/4*w**l.
-w**2*(w - 2)/4
Suppose 2 = -3*g + 20. Factor x**3 + 15*x**5 - 18*x**5 + 7*x**3 + x**3 - g*x**2.
-3*x**2*(x - 1)**2*(x + 2)
Solve 37*o - 2*o + 15 + 3*o - 18*o + 5*o**2 = 0 for o.
-3, -1
Suppose -5*g - 3 = -5*d + 22, 5*g + 18 = -2*d. Let u = d + 7. Factor -2 + 2 + 2*p**4 + 12*p**2 - u*p**3 - 8*p + 2.
2*(p - 1)**4
Let h(l) be the third derivative of l**6/180 + l**5/60 - l**4/6 + l**3/6 - 2*l**2. Let t(a) be the first derivative of h(a). Factor t(y).
2*(y - 1)*(y + 2)
Let x be 70/(-245) - 142/(-56). What is i in -9/4*i**2 - 3/4*i**4 - 3/4*i - x*i**3 + 0 = 0?
-1, 0
Let k(t) be the second derivative of 1/240*t**5 + 0 - 1/96*t**4 - t**2 + 0*t**3 - t. Let q(l) be the first derivative of k(l). Factor q(s).
s*(s - 1)/4
Let c = 73/462 - 1/66. Let p(i) be the first derivative of 1/14*i**4 + c*i**2 + 0*i - 4/21*i**3 + 4. Let p(z) = 0. Calculate z.
0, 1
Let n = 47 + -32. Suppose 0 = -2*f + 3*s - 4*s + 6, -5*f - 5*s + n = 0. Let 1/2 - 1/2*b**2 + b**f - b = 0. Calculate b.
-1, 1/2, 1
Determine g, given that -3*g**2 + 4 + 12 - 13 = 0.
-1, 1
Let d(u) be the first derivative of -23/10*u**4 + 0*u - 4/5*u**2 - 5 - 14/25*u**5 - 8/3*u**3. Determine s so that d(s) = 0.
-2, -1, -2/7, 0
Suppose 3*v - 12 = -3*n, -2*v = n - 3 - 3. Let a + 2*a**v - 2*a - a = 0. Calculate a.
0, 1
Let v(m) be the third derivative of m**5/15 - 2*m**3/3 - 3*m**2. Find y, given that v(y) = 0.
-1, 1
Let c(d) = -2*d - 16. Let p be c(-9). Suppose 0*n = p*n - 4. Factor 1/3*h + 2/3 - 2/3*h**n - 1/3*h**3.
-(h - 1)*(h + 1)*(h + 2)/3
Let z = -712 + 712. Factor -1/2*n**4 + z*n + 1/2*n**5 + 1/2*n**2 + 0 - 1/2*n**3.
n**2*(n - 1)**2*(n + 1)/2
Let l(k) = 3*k**2 + 5*k - 7. Let q(o) = -16*o**2 - 24*o + 34. Let h(w) = -14*l(w) - 3*q(w). Factor h(c).
2*(c + 1)*(3*c - 2)
Let m(n) be the third derivative of 3*n**2 + 0 - 1/12*n**4 + 0*n**3 + 1/30*n**5 + 0*n. Factor m(v).
2*v*(v - 1)
Let k(x) be the third derivative of x**8/1008 - x**7/70 + x**6/12 - 23*x**5/90 + 11*x**4/24 - x**3/2 - 2*x**2. Let k(j) = 0. Calculate j.
1, 3
Let b(d) be the second derivative of -d**6/2 - 3*d**5/4 + 5*d**4/9 + 10*d**3/9 - 4*d. Determine v, given that b(v) = 0.
-1, -2/3, 0, 2/3
Suppose -3*r - 15 = -8*r. Solve 10/7*d + 8/7*d**2 + 2/7*d**r + 4/7 = 0 for d.
-2, -1
Let c(x) = -2*x**3 + 34*x**2 - 155*x + 133. Let i(v) = 2*v**3 - 34*v**2 + 154*v - 134. Let j(n) = 6*c(n) + 5*i(n). Factor j(m).
-2*(m - 8)**2*(m - 1)
Factor -4 + 4 + 29*n**3 - 33*n**3 + 2*n**4.
2*n**3*(n - 2)
Suppose 0 = -5*h - 3*a - 69 - 9, 2*h - 3*a + 48 = 0. Let w be (3/(-6))/(3/h). Let 5*o**2 + w*o**2 + 17*o - 5*o**2 - 11*o = 0. What is o?
-2, 0
Let d be (-11)/22*6/(-1). Let x(u) be the first derivative of 2 + 0*u**d + 0*u + 1/6*u**4 - 1/3*u**2. Solve x(o) = 0.
-1, 0, 1
Factor -6*y**2 + 2/3*y**3 - 32/3 + 16*y.
2*(y - 4)**2*(y - 1)/3
Let s(k) be the first derivative of -4/5*k**5 + 0*k + 0*k**2 + 1/2*k**4 + 0*k**3 + 3 + 1/3*k**6. Factor s(z).
2*z**3*(z - 1)**2
Let k(p) = -4 - p**2 + 5 + 2*p**2. Let i(r) = -r**2 - 2*r - 1. Let h(v) = -v**3 - 6*v**2 - v - 8. Let d be h(-6). Let a(f) = d*i(f) - 4*k(f). Factor a(z).
-2*(z - 1)**2
Suppose v - 4*x - 10 = 0, -x - 18 = -4*v + 4*x. Factor 0*u**4 + 4/3*u**3 - 2/3*u**5 - 2/3*u + 0*u**v + 0.
-2*u*(u - 1)**2*(u + 1)**2/3
Let u(x) be the first derivative of -4*x**3 - 1 + 15/2*x**2 - 6*x + 3/4*x**4. Factor u(h).
3*(h - 2)*(h - 1)**2
Let j(k) be the second derivative of 0*k**2 - 1/20*k**5 - 3*k + 0*k**3 + 0*k**4 + 0. Factor j(s).
-s**3
Let o(b) = b**2 - 32*b + 138. Let m be o(5). Factor -4 + 21/2*j**m - 10*j + 17*j**2.
(j + 2)*(3*j - 2)*(7*j + 2)/2
Let m = 161 + -155. Let q(t) be the first derivative of t**3 + m*t + 3 + 9/2*t**2. Solve q(z) = 0.
-2, -1
Let z(x) be the second derivative of x**7/42 - x**6/30 - 3*x**5/20 + x**4/12 + x**3/3 - x + 16. Factor z(k).
k*(k - 2)*(k - 1)*(k + 1)**2
Let l(p) be the second derivative of p**9/1008 - p**7/140 + p**5/40 + 5*p**3/6 + 5*p. Let k(t) be the second derivative of l(t). What is y in k(y) = 0?
-1, 0, 1
Let m(p) = 33*p + 68. Let d be m(-2). Let 1/2*n + 1/2 - n**d = 0. Calculate n.
-1