+ 0*r**4 - 4/5*r**3 + j*r**2.
2*r*(r - 1)**2*(r + 1)**2/5
Let o(d) be the first derivative of -1 + 0*d + 1/6*d**2 + 1/6*d**4 + 1/3*d**3. Suppose o(h) = 0. Calculate h.
-1, -1/2, 0
Let i(a) be the third derivative of a**8/336 + a**7/105 + a**6/360 - a**5/60 - 5*a**3/6 + 8*a**2. Let u(b) be the first derivative of i(b). Factor u(n).
n*(n + 1)**2*(5*n - 2)
Let a(y) be the third derivative of y**11/2328480 - y**9/423360 + y**5/60 + 2*y**2. Let z(f) be the third derivative of a(f). Determine s, given that z(s) = 0.
-1, 0, 1
Suppose 2/9*w**3 + 4/9 + 8/9*w**2 + 10/9*w = 0. Calculate w.
-2, -1
Let b = -315 - -316. Factor -2*f - b + 21/4*f**2.
(3*f - 2)*(7*f + 2)/4
Factor 0*g**4 + 0 - 8/5*g**2 + 1/5*g**5 - 6/5*g**3 - 3/5*g.
g*(g - 3)*(g + 1)**3/5
Let z(p) be the first derivative of 7/22*p**4 + 36/11*p**2 + 20/11*p**3 - 2 + 16/11*p. Factor z(d).
2*(d + 2)**2*(7*d + 2)/11
Let n(d) be the third derivative of -d**7/4620 - d**6/660 - d**5/220 - d**4/132 + 7*d**3/6 - 6*d**2. Let g(y) be the first derivative of n(y). Solve g(o) = 0.
-1
Let a(n) be the first derivative of -3*n**4/16 + 3*n**3/4 + 3*n**2/8 - 9*n/4 + 16. Suppose a(m) = 0. What is m?
-1, 1, 3
Let m be (-4)/(-14) + 696/(-35). Let u = m - -20. Factor u*d**2 + 2/5 + 4/5*d.
2*(d + 1)**2/5
Suppose 13*q = 16*q - 18. Suppose 4*k + 4 = q*k. Let 0 + 1/4*h**k - 1/4*h = 0. What is h?
0, 1
Let q(f) be the second derivative of -3*f**4/2 + 2*f**3/3 + 4*f. Factor q(h).
-2*h*(9*h - 2)
Let s(j) be the first derivative of j**4 - 8*j**3/3 - 2*j**2 + 8*j + 7. Determine d so that s(d) = 0.
-1, 1, 2
Let d(o) be the first derivative of -9/4*o**4 - 2 - 14/3*o**3 - 9/2*o**2 - 2*o - 2/5*o**5. Factor d(x).
-(x + 1)**2*(x + 2)*(2*x + 1)
Factor -1/4*r + 1/2*r**4 - 1/2*r**2 + 0 + 1/4*r**3.
r*(r - 1)*(r + 1)*(2*r + 1)/4
Let i(f) = -7*f**3 - 2*f**2 + 7*f + 2. Suppose -10 - 14 = -4*r. Let b(k) = 4*k**3 + k**2 - 4*k - 1. Let x(q) = r*i(q) + 10*b(q). Factor x(o).
-2*(o - 1)*(o + 1)**2
Let x(c) = c**2 - 2*c - 1. Let p be x(-1). Suppose 64 + 4*u**2 - 32*u - 7*u**p + 7*u**2 = 0. What is u?
4
Let h(k) be the first derivative of k**6/660 - k**5/330 - k**4/132 + k**3/33 + k**2 + 1. Let b(w) be the second derivative of h(w). Solve b(v) = 0 for v.
-1, 1
Factor -4 + 2*h**2 + 8*h + 3 + 3 + 4.
2*(h + 1)*(h + 3)
Determine q, given that -1/3*q**2 - 2/3*q + 4/3 + 1/6*q**3 = 0.
-2, 2
Let b(r) be the third derivative of -r**5/570 + r**4/76 - 2*r**3/57 - 21*r**2. Suppose b(h) = 0. What is h?
1, 2
Let c be ((-1)/(-30))/(-15 - -16). Let r(j) be the second derivative of -1/5*j**2 + c*j**4 - j + 1/50*j**5 + 0 - 1/15*j**3. Solve r(s) = 0 for s.
-1, 1
Let l be ((-34)/(-51))/((-2)/(-6)). Suppose 0 = -2*r + 6 + l. Solve 0 + 3/4*q**r - 3/4*q**2 - 1/4*q**3 + 1/4*q = 0.
-1, 0, 1/3, 1
Let b(p) be the third derivative of 1/90*p**5 + 1/18*p**3 + 0 - 1/180*p**6 - 1/1008*p**8 + 0*p - 5*p**2 + 1/24*p**4 - 1/210*p**7. Determine g so that b(g) = 0.
-1, 1
Let y(l) be the second derivative of l**4/42 + 2*l**3/21 + 14*l. Let y(m) = 0. What is m?
-2, 0
Let l(t) = 3*t**2 - 20*t + 14. Let r be l(6). Factor -8/7 + 0*x + 2/7*x**r.
2*(x - 2)*(x + 2)/7
Solve 0 - 2/9*n**4 + 0*n**3 - 4/9*n + 2/3*n**2 = 0.
-2, 0, 1
Let f(i) be the first derivative of i**6/54 + i**5/15 + i**4/36 - i**3/9 - i**2/9 - 1. Factor f(h).
h*(h - 1)*(h + 1)**2*(h + 2)/9
Let n(o) be the first derivative of -1/6*o**3 + 0*o - 3 + 1/4*o**2. Factor n(q).
-q*(q - 1)/2
Let k(h) be the third derivative of 0*h - 1/3*h**3 - 1/12*h**4 - 2*h**2 - 1/168*h**8 + 0 + 1/15*h**5 + 1/30*h**6 - 1/105*h**7. Factor k(d).
-2*(d - 1)**2*(d + 1)**3
Factor -1/2*v + 0 + 1/2*v**4 - 3/2*v**3 + 3/2*v**2.
v*(v - 1)**3/2
Determine n, given that -3/4*n**4 + 1/4*n**5 + 23/4*n**2 - 9/4*n**3 + 6*n - 9 = 0.
-2, 1, 3
Let m(o) be the first derivative of o**3/3 - o + 9. Let z(i) = i**4 - 2*i**3 + 2*i**2 + 8*i - 9. Let w(k) = -15*m(k) + 3*z(k). Factor w(y).
3*(y - 2)*(y - 1)**2*(y + 2)
Let x = 3 + 1. Solve 0 - 10*c + 0 + x*c + 21*c**2 = 0 for c.
0, 2/7
Let d(m) be the second derivative of -m**6/300 - m**5/75 + m**4/20 - 2*m**2 - 2*m. Let t(j) be the first derivative of d(j). Let t(f) = 0. Calculate f.
-3, 0, 1
Let t(j) be the third derivative of 9*j**7/70 + 29*j**6/40 + 33*j**5/20 + 15*j**4/8 + j**3 - 23*j**2. Factor t(m).
3*(m + 1)**3*(9*m + 2)
Let y(x) be the first derivative of -4 + 1/6*x**2 + 0*x + 1/9*x**3. Find p, given that y(p) = 0.
-1, 0
Let b(s) be the second derivative of -7/30*s**6 + 0 + 9/20*s**5 + 0*s**2 + 0*s**3 + 2*s - 1/6*s**4. Factor b(g).
-g**2*(g - 1)*(7*g - 2)
Let r = -34 + 33. Let x be 0/(-9) + 0/r. Factor 0 + x*j**2 - 1/4*j**3 + 1/4*j.
-j*(j - 1)*(j + 1)/4
Let j(v) be the third derivative of -v**6/90 - v**5/9 - 4*v**4/9 - 8*v**3/9 - 5*v**2. Factor j(i).
-4*(i + 1)*(i + 2)**2/3
Let x(v) be the second derivative of -v**7/350 - v**6/200 + v**5/100 + v**4/40 - v**2 - v. Let q(c) be the first derivative of x(c). Let q(o) = 0. What is o?
-1, 0, 1
Let l be 5*((-4)/10 + 1). Factor -23*z**l - 6*z**3 - 4 - 27*z**3 - 34*z - 86*z**2.
-2*(z + 1)*(4*z + 1)*(7*z + 2)
Let r(o) be the third derivative of o**8/504 + o**7/315 - o**6/90 - o**5/45 + o**4/36 + o**3/9 - 2*o**2 - 7. Factor r(a).
2*(a - 1)**2*(a + 1)**3/3
Let z(u) = -2*u**2 + u + 4. Let m be z(0). Factor -2/3*k + 1/3*k**5 + 0 + 1/3*k**3 - k**2 + k**m.
k*(k - 1)*(k + 1)**2*(k + 2)/3
Suppose -y + 4*t + 23 = 0, 3*t + 0*t = -5*y. Suppose p + 4 = y*p. Factor 0*w**2 + w**p + 0*w + w.
w*(w + 1)
Factor 2/11*r**2 - 6/11*r + 4/11.
2*(r - 2)*(r - 1)/11
Let g(h) be the second derivative of 0 - 1/3*h**6 - 2/3*h**4 + 0*h**3 + 8/5*h**5 - 25/21*h**7 - 6*h + 0*h**2. Let g(z) = 0. What is z?
-1, 0, 2/5
Suppose -14 = -5*a + 1. Find j, given that j + 2*j**2 + 0*j - 8*j**a - j = 0.
0, 1/4
Let x(n) be the second derivative of n**6/180 - n**5/30 - 5*n**3/6 + 4*n. Let s(p) be the second derivative of x(p). Factor s(r).
2*r*(r - 2)
Let u(b) be the third derivative of -2/315*b**7 - 1/30*b**6 + 0*b**5 + 0*b - 6*b**2 + 0*b**3 + 0*b**4 + 0. What is r in u(r) = 0?
-3, 0
Let b(u) be the third derivative of u**7/1400 - u**6/360 + u**5/300 + 2*u**3/3 + 6*u**2. Let f(l) be the first derivative of b(l). Factor f(a).
a*(a - 1)*(3*a - 2)/5
Let u(c) be the second derivative of 0*c**2 + 11/12*c**4 + 6*c - 1/3*c**3 - 9/20*c**5 + 0. Factor u(g).
-g*(g - 1)*(9*g - 2)
Let w(z) be the second derivative of -z**4/18 - z**3/6 + z**2/3 - 6*z. Determine o, given that w(o) = 0.
-2, 1/2
Suppose 3*a - 2 = 3*r - 11, 2*a + 15 = 5*r. Suppose a*n - 3/4*n**3 + 3/4*n**5 + 3/2*n**2 - 3/2*n**4 + 0 = 0. Calculate n.
-1, 0, 1, 2
Let m(s) = 15*s**4 + 36*s**3 - 15*s**2 + 6*s + 21. Let y(h) = -3*h**4 - 7*h**3 + 3*h**2 - h - 4. Let d(x) = -4*m(x) - 21*y(x). Determine k so that d(k) = 0.
-1, 0, 1
Let b(y) = -5*y**2 + 13*y - 3. Let v(c) = c + 1. Let h(a) = -2*b(a) + 2*v(a). Factor h(i).
2*(i - 2)*(5*i - 2)
Let p(l) be the second derivative of l**5/20 - l**4/12 - l**3/3 + 4*l. Find t such that p(t) = 0.
-1, 0, 2
Let f(v) be the third derivative of v**7/210 - v**5/20 + v**4/12 - 3*v**2. Solve f(l) = 0.
-2, 0, 1
Suppose 4*s - 2 + 0 = 3*b, -b - 8 = -5*s. Suppose 0*d - b*d = 3*c + 15, -4*d - 25 = 5*c. Solve 1/2*u**5 + 1/2*u**2 + d - 1/2*u**4 + 0*u - 1/2*u**3 = 0 for u.
-1, 0, 1
Solve 4*g + 2 - 332*g**2 + 0 + 330*g**2 - 4*g**3 = 0.
-1, -1/2, 1
Let v(p) be the third derivative of -p**8/10080 - p**7/4200 + p**6/900 + p**5/20 - 2*p**2. Let a(w) be the third derivative of v(w). Factor a(o).
-2*(o + 1)*(5*o - 2)/5
Let o(d) be the third derivative of -7*d**6/540 + d**5/54 + d**4/54 - 2*d**2. Solve o(u) = 0 for u.
-2/7, 0, 1
Let z be (-36)/(-9)*3858/56. Let l = -275 + z. Factor 0 - 6/7*c**4 + l*c**5 + 0*c + 0*c**2 + 2/7*c**3.
2*c**3*(c - 1)*(2*c - 1)/7
Let q be 18/12 - (-3)/6. Let n(u) be the third derivative of -q*u**2 - 1/60*u**5 + 0*u**3 - 1/120*u**6 + 0*u + 0*u**4 + 0. Let n(j) = 0. What is j?
-1, 0
Let g(h) = h**2 - h + 3. Let y(m) = 4*m**2 - 4*m + 11. Let r(p) = 22*g(p) - 6*y(p). Factor r(n).
-2*n*(n - 1)
Let f = -740 - -744. Factor -4/3*b**2 - 8/3 - f*b.
-4*(b + 1)*(b + 2)/3
Let p(m) be the second derivative of -m**7/3360 + m**6/720 + m**5/120 - m**4/4 + m. Let c(i) be the third derivative of p(i). Factor c(x).
-(x - 2)*(3*x + 2)/4
Let n = 141/2 + -70. Let n*p - 5/2*p**4 - 9/2*p**2 + 1 - 13/2*p**3 = 0. What is p?
-1, 2/5
Factor -8/3*w + 1/3*w**4 + 2