**2 + 0*a. Solve i(p) = 0.
0, 2/3
Let j(y) = -3*y**3 + y**2 + 6*y + 2. Let s(i) = -5*i**3 + i**2 + 9*i + 3. Let m = 12 - 7. Let l(n) = m*s(n) - 8*j(n). Suppose l(x) = 0. What is x?
-1
Let f(j) be the third derivative of -j**8/168 + j**7/105 + j**6/60 - j**5/30 + 2*j**2. Factor f(s).
-2*s**2*(s - 1)**2*(s + 1)
Factor -8*f**4 - 36*f**3 + 23*f**4 + 18*f + 11*f**2 - 44*f**2.
3*f*(f - 3)*(f + 1)*(5*f - 2)
Let k = 1835/4 + -458. Suppose 0*n**3 - 1/2*n + 0 - k*n**2 + 1/4*n**4 = 0. Calculate n.
-1, 0, 2
Factor -2/3*l**2 + 4/9*l**3 + 0 + 2/9*l.
2*l*(l - 1)*(2*l - 1)/9
Let -12*f**2 + 9*f**4 - 10*f**2 + 5*f**2 + 3*f**5 - 6*f**3 - f**2 + 9 + 3*f = 0. Calculate f.
-3, -1, 1
Let y(f) be the first derivative of 3*f**4/4 + f**3 - 3*f**2 - 31. Suppose y(z) = 0. What is z?
-2, 0, 1
Let z(p) be the third derivative of -8*p**7/105 - p**6/2 + 4*p**5/15 + 3*p**2 - 5. Factor z(l).
-4*l**2*(l + 4)*(4*l - 1)
Let b(j) be the first derivative of -7*j**3/6 + j**2/2 - 2. Let b(n) = 0. Calculate n.
0, 2/7
Let z be -2*(-3 + 6/4). Suppose -4*p + 9 + z = 0. Factor 1/3*o**4 + 0 - 1/3*o**p + 0*o + 0*o**2.
o**3*(o - 1)/3
Let m(t) be the third derivative of t**8/252 + 2*t**7/63 + t**6/9 + 2*t**5/9 + 5*t**4/18 + 2*t**3/9 + 10*t**2. Solve m(w) = 0.
-1
Let d(j) be the second derivative of -1/20*j**5 - 1/4*j**4 - 1/2*j**3 - 1/2*j**2 - 2*j + 0. Factor d(u).
-(u + 1)**3
Let d(y) be the third derivative of 6*y**5/5 + y**4/2 + y**3/12 + 10*y**2. Solve d(h) = 0 for h.
-1/12
Suppose -2*j = -0*j - 4. Let q be (6/4)/((-2)/(-4)). Factor q*r**3 - j*r**3 - 2*r + 2*r + r**4 - 2*r**5.
-r**3*(r - 1)*(2*r + 1)
Let u be (-5)/(25/10)*(-2)/16. Let 0*g - u*g**2 + 0 = 0. Calculate g.
0
Let h(u) be the first derivative of u**3/6 + 3*u**2/2 + 14. Factor h(z).
z*(z + 6)/2
Let t be 2/5 - 2/5. Suppose 3*a + 3*l = 7*a - 14, 4*a - 2*l - 12 = t. Factor -a*v - 2*v**2 - 2*v**3 + 2*v.
-2*v**2*(v + 1)
Let t be ((-21)/28)/(30/(-32)). Factor -4/5*m**3 + 2/5 + 2/5*m**5 - t*m**2 + 2/5*m + 2/5*m**4.
2*(m - 1)**2*(m + 1)**3/5
Let p = -30 - -30. Let l(n) be the third derivative of 1/60*n**5 + 1/40*n**4 + 0*n - 2*n**2 + p - 1/15*n**3. Let l(a) = 0. What is a?
-1, 2/5
Let x(a) be the first derivative of -3*a**5/5 - 9*a**4/4 + a**3 + 9*a**2/2 - 15. Factor x(h).
-3*h*(h - 1)*(h + 1)*(h + 3)
Let a(h) be the third derivative of 0*h - h**2 + 0*h**3 + 1/840*h**8 - 1/60*h**4 + 1/75*h**5 + 0*h**6 - 2/525*h**7 + 0. Let a(o) = 0. Calculate o.
-1, 0, 1
Let i(d) be the third derivative of -d**5/210 - d**4/14 - 3*d**3/7 - 6*d**2. Factor i(x).
-2*(x + 3)**2/7
Determine v so that 4*v**3 - 62 - 4*v - 4*v**2 + 62 + 4*v**4 = 0.
-1, 0, 1
Factor 0 - 2/3*b**2 + 0*b + 2/9*b**3.
2*b**2*(b - 3)/9
Let n be (-7)/(-35) - 2/(-10). Find o, given that 0 + 2/5*o - n*o**2 = 0.
0, 1
Factor -27*y - 5*y**2 + 12*y - 2 + 2.
-5*y*(y + 3)
Let x(f) be the third derivative of -f**2 - 1/180*f**5 - 1/36*f**4 + 0 + 0*f - 1/18*f**3. What is v in x(v) = 0?
-1
Suppose -36*j**4 - 2*j - 4*j**3 - 7*j**2 + 35*j**4 + 2*j**2 = 0. What is j?
-2, -1, 0
Determine k so that 9*k**2 - 4*k**4 + 2*k**4 + k + 5*k - k**4 = 0.
-1, 0, 2
Let t = -37 - -33. Let c be t/6 + 160/168. Let -1/7*j + 0*j**4 + c*j**3 + 0*j**2 + 0 - 1/7*j**5 = 0. Calculate j.
-1, 0, 1
Let o(u) be the third derivative of -5*u**2 + 0*u**3 + 1/60*u**5 + 0 + 1/240*u**6 + 1/48*u**4 + 0*u. Find t such that o(t) = 0.
-1, 0
Let r(v) be the third derivative of -v**5/120 + v**4/12 - v**3/3 - 9*v**2. Factor r(c).
-(c - 2)**2/2
Let c(z) be the first derivative of -7*z**5/2 + 3*z**4 - 2*z**3/3 - 2. What is l in c(l) = 0?
0, 2/7, 2/5
Let a = 56 - 53. Factor -6/11*u - 6/11*u**2 - 2/11 - 2/11*u**a.
-2*(u + 1)**3/11
Suppose 2*m - 6 = -4*y, -m - 3 = m - 5*y. Let w be -6*m/2 + 7. Find u, given that 0*u**3 + 0*u + 2/5*u**5 + 0*u**2 + 0 + 2/5*u**w = 0.
-1, 0
Let n(s) be the second derivative of -3*s + 0*s**2 - 1/10*s**6 - 1/12*s**4 + 0 + 1/42*s**7 + 0*s**3 + 3/20*s**5. Suppose n(m) = 0. What is m?
0, 1
Let v(g) = g**2 - 11*g + 16. Let y be v(10). Let -y*f - 4*f**2 + 4*f - 2*f - 4 + 3*f**2 = 0. Calculate f.
-2
Let o = 12 - 7. Let m(u) be the first derivative of 3 + 46/9*u**3 - 16/5*u**o + 3*u**2 + 2/3*u - 16/9*u**6 + 7/6*u**4. Let m(c) = 0. What is c?
-1, -1/4, 1
Suppose 0 = 3*p + 3 + 3. Let f be p/4 + (-26)/(-4). Factor f*i**3 - 3*i - 3*i**5 - i**4 + 0*i**4 + i**4.
-3*i*(i - 1)**2*(i + 1)**2
Let j(v) = 5*v**2 - 6*v + 4. Let g(c) = 5*c**2 - 6*c + 3. Let i(u) = 3*g(u) - 2*j(u). Determine f so that i(f) = 0.
1/5, 1
Let p(r) be the second derivative of 0 + 1/60*r**4 - 1/150*r**6 - 1/210*r**7 + 1/100*r**5 + 0*r**3 + 3*r + 0*r**2. Factor p(w).
-w**2*(w - 1)*(w + 1)**2/5
Let m(c) be the first derivative of c**6/12 - c**5/5 - 3*c**4/8 + 4*c**3/3 - c**2 + 15. Factor m(g).
g*(g - 2)*(g - 1)**2*(g + 2)/2
Let c(g) = -g + 1. Let t(n) = -6*n**2 + 4*n - 2. Let w(o) = -12*c(o) - 2*t(o). Factor w(x).
4*(x + 1)*(3*x - 2)
Let v = 2 - -1. Suppose -8 = -v*q + m - 0*m, 5*q - m = 14. Solve 0*w - 6*w**3 + w + 4*w**q + w**5 = 0 for w.
-1, 0, 1
Let k(s) be the second derivative of 0 + 1/8*s**2 + 0*s**4 - 1/40*s**5 - 7*s - 1/120*s**6 + 1/12*s**3. Factor k(p).
-(p - 1)*(p + 1)**3/4
Let t(k) be the third derivative of -k**6/480 - k**5/24 - 17*k**4/96 - k**3/3 + k**2. Factor t(z).
-(z + 1)**2*(z + 8)/4
Let h(x) be the third derivative of -x**7/147 - x**6/30 - 2*x**5/35 - x**4/42 + x**3/21 + 2*x**2 + 25*x. Factor h(o).
-2*(o + 1)**3*(5*o - 1)/7
Let x = 8 - 5. Suppose 0 = -3*f + 13 + 14. Factor -f*n**2 + 2*n**3 - 6*n - x - 1 + 9*n**2.
2*(n - 2)*(n + 1)**2
Let f(d) be the second derivative of d**10/30240 - d**8/6720 - d**4/12 + 2*d. Let n(q) be the third derivative of f(q). Let n(c) = 0. Calculate c.
-1, 0, 1
Let t be (4 + -4)/(-3 - (-15)/3). Factor 0*k - 1/5*k**3 - 1/5*k**4 + 0*k**2 + 2/5*k**5 + t.
k**3*(k - 1)*(2*k + 1)/5
Let c(r) be the second derivative of -r**7/42 - 2*r**6/15 + r**5/10 + 2*r**4/3 - r**3/6 - 2*r**2 - 35*r. Factor c(i).
-(i - 1)**2*(i + 1)**2*(i + 4)
Let n(d) be the first derivative of 1/18*d**4 + 1/3*d**2 + 3 + 2/9*d**3 + 2/9*d. Find j such that n(j) = 0.
-1
Let x(c) = -3*c**2 - 6*c - 1. Let p(z) = -1. Let s(w) = -2. Let g(y) = 11*p(y) - 6*s(y). Let a(f) = -2*g(f) + x(f). Suppose a(h) = 0. Calculate h.
-1
Let b(u) be the second derivative of u**3/6 - u**2 - 2*u. Let w be b(2). Factor -1/2*c**3 + w - 1/2*c**2 + 0*c.
-c**2*(c + 1)/2
Let q = -823/8 - -103. Factor -q*b**2 + 3/8*b**3 - 3/8*b + 1/4 - 1/8*b**4.
-(b - 2)*(b - 1)**2*(b + 1)/8
Suppose 0 = 2*w + k - 6, -4*k = 5*w - k - 14. Determine z, given that 5*z + w*z**2 - z - 3*z = 0.
-1/4, 0
Let t(w) be the third derivative of -w**7/1155 - w**6/220 + w**5/110 + 7*w**4/132 - 2*w**3/11 - 6*w**2. Solve t(j) = 0.
-3, -2, 1
Factor 0 - 1/2*t**4 + 2*t**2 - t**3 + 4*t.
-t*(t - 2)*(t + 2)**2/2
Let t(x) be the third derivative of x**6/10 + 8*x**5/15 + 7*x**4/6 + 4*x**3/3 + 7*x**2. Suppose t(o) = 0. What is o?
-1, -2/3
Let c(t) = -5*t**3 - t**2 + t + 1. Let x be c(-1). Suppose -2*q = -3*a + 10, -x*a + q + 7 = 2. Solve a*k**3 + 2/3*k**5 + 4/3*k**4 + 0*k + 0 + 0*k**2 = 0.
-2, 0
Let k(s) be the second derivative of -s**5/20 - 5*s**4/12 + 4*s**3/3 + 24*s**2 - 17*s + 1. Factor k(z).
-(z - 3)*(z + 4)**2
Let o = 263 - 260. Find a such that 1/2 + 5/4*a + 1/4*a**o + a**2 = 0.
-2, -1
Let -1/4*p**2 - 1/2 + 3/4*p = 0. Calculate p.
1, 2
Factor 4/5*c - 4/5 - 1/5*c**2.
-(c - 2)**2/5
Let r(o) be the third derivative of o**9/30240 - o**8/3360 + o**7/840 - o**6/360 - o**5/60 - o**2. Let k(g) be the third derivative of r(g). Factor k(f).
2*(f - 1)**3
Let x = 17/30 - 2/5. Let f(m) be the first derivative of 0*m**2 - x*m**3 + 1/4*m**4 + 0*m - 1/10*m**5 - 1. Suppose f(z) = 0. What is z?
0, 1
Let q(a) be the first derivative of a**6 + 33*a**5/10 + 27*a**4/8 + a**3/2 - 3*a**2/4 - 1. Factor q(d).
3*d*(d + 1)**3*(4*d - 1)/2
Let q = -118/2409 - -8/73. Let g(h) be the first derivative of 1/11*h**2 - 2 + q*h**3 - 1/22*h**4 - 2/11*h. Determine f so that g(f) = 0.
-1, 1
Solve -w**3 - 4*w**4 - w**3 + 6*w**3 = 0.
0, 1
Let l(q) = 4*q**3 - 2*q**2 - 4*q - 4. Let m = -10 + 5. Suppose 0 = -3*w - 9. Let p(f) = -8*f**3 + 3*f**2 + 8*f + 7. Let i(k) = m*l(k) + w*p(k). Factor i(r).
(r - 1)*(r + 1)*(4*r + 1)
Let l(u) be the second derivative of 4/3*u**3 + 1/3*u**4 + 0 + 6*u + 2*u**2. Factor l(c).
4*(c + 1)**2
Suppose -8/3*h + 0 + 4/3*h**2 + 28/3*h**5