d derivative of 0 + 1/3*q**3 + 2/3*q**2 + 1/18*q**4 + 8*q. Factor o(s).
2*(s + 1)*(s + 2)/3
Factor -24 - 4*h**4 + 4*h - 15*h**3 + 7*h**4 + 8*h + 18*h**2.
3*(h - 2)**3*(h + 1)
Let l(f) be the third derivative of -f**6/140 + 2*f**5/105 + f**4/21 - 7*f**2. Determine z so that l(z) = 0.
-2/3, 0, 2
Let t(j) be the second derivative of -j**8/3360 + j**7/1260 + j**4/12 - 4*j. Let r(l) be the third derivative of t(l). Suppose r(i) = 0. Calculate i.
0, 1
Factor -u - 1/6*u**2 - 3/2.
-(u + 3)**2/6
Suppose -3*a + 37 - 22 = 0. Factor a*r + 1/2 + 18*r**3 + 33/2*r**2.
(3*r + 1)**2*(4*r + 1)/2
Let x(l) be the third derivative of l**6/40 + l**5/5 + 5*l**4/8 + l**3 - 28*l**2. Factor x(s).
3*(s + 1)**2*(s + 2)
Let z(w) be the first derivative of -w**2 + 1/120*w**6 + 3 + 1/15*w**5 + 1/6*w**4 + 0*w + 0*w**3. Let h(c) be the second derivative of z(c). Factor h(q).
q*(q + 2)**2
Let a = 13 + -7. Solve -5*s**2 + 4*s**2 + s**2 + 3*s**2 + a - 9*s = 0 for s.
1, 2
Let s be 2/2 + (-5225)/5250. Let m(q) be the third derivative of 0*q - 1/21*q**3 + 0*q**4 + 0 + s*q**5 - 2*q**2. Factor m(g).
2*(g - 1)*(g + 1)/7
Let h(q) = 3*q**2 - q + 1. Let u be h(1). Suppose -b - 11 = -u*r + 3, 0 = 5*r + 2*b - 38. Factor 4*y - r*y**2 + 0 + 2*y**3 - 2 + 2*y.
2*(y - 1)**3
Suppose -4*g + 9*g = -5. Let a = 3 + g. Let a*h**3 + h**2 - h**2 = 0. Calculate h.
0
Suppose -v = -10 - 14. Suppose -v = -4*k + k. Factor k*j**2 + 10*j - 2 - 3 + 7.
2*(j + 1)*(4*j + 1)
Let r(a) = -a**3 + 12*a**2 + a - 9. Let d be r(12). Let 3*g + 2*g**2 - 20*g**d + 1 + 21*g**3 + g**2 = 0. What is g?
-1
Determine p, given that -1/7*p**4 + 0*p - 6/7*p**2 + p**3 + 0 = 0.
0, 1, 6
Let i(m) = 25*m**2 - 25*m. Let z(y) = -3*y**2 + 3*y. Let f(u) = 6*i(u) + 51*z(u). Factor f(d).
-3*d*(d - 1)
Let w be (-60)/(-4) + 0 + 1. Let o = 82/5 - w. Solve -o*b**2 - 2/5*b + 4/5 = 0.
-2, 1
Let x(y) be the third derivative of -y**7/840 - y**6/240 + y**4/48 + y**3/24 + 2*y**2. Suppose x(m) = 0. Calculate m.
-1, 1
Suppose -22 + 112 = 5*z. Let o(q) = 11*q**3 + 11*q**2 - 11*q - 11. Let b(f) = -39*f**3 - 39*f**2 + 39*f + 39. Let p(i) = z*o(i) + 5*b(i). Factor p(a).
3*(a - 1)*(a + 1)**2
Let c(k) = -k - 21. Let m be c(0). Let v be ((-4)/m)/(4/30). Factor 20/7*l**3 + 10/7*l + 2/7*l**5 - 20/7*l**2 - v*l**4 - 2/7.
2*(l - 1)**5/7
Find g such that 0*g**4 + 0*g - 1/7*g**5 + 0 + 3/7*g**3 - 2/7*g**2 = 0.
-2, 0, 1
Let 8/5*r**2 - 8/5*r**3 + 0*r - 6/5*r**4 + 0 = 0. Calculate r.
-2, 0, 2/3
Factor 5*c**2 + 9*c**2 + 11*c - 15*c**2 - 5*c.
-c*(c - 6)
Suppose 0 = 16*l - 6*l. Determine h, given that -26/5*h**2 + 4/5*h + 42/5*h**3 + l = 0.
0, 2/7, 1/3
Let f(i) be the second derivative of -i**5/35 - 5*i**4/21 - 4*i**3/21 + 16*i**2/7 - 31*i. Find j such that f(j) = 0.
-4, -2, 1
Let c(b) be the third derivative of -b**8/1008 + 2*b**7/315 - b**6/72 + b**5/90 - 4*b**2. Solve c(k) = 0.
0, 1, 2
Let j = 6/35 - 1/210. Let k(s) be the second derivative of 0 + 49/60*s**6 + 0*s**3 + j*s**4 + 0*s**2 - 7/10*s**5 - 3*s. Let k(z) = 0. What is z?
0, 2/7
Let d be -2*(-3)/((-12)/(-10)). Suppose 3*k - d*k = 0. Let -2/11*z**2 - 2/11*z + k = 0. Calculate z.
-1, 0
Let m(c) = -6*c**2 + c + 4. Let u(j) = -11*j**2 + 3*j + 8. Let v(a) = -10*m(a) + 6*u(a). Factor v(w).
-2*(w - 2)*(3*w + 2)
Let u(r) be the first derivative of -r**4/84 - r**3/21 - r**2/14 - 2*r - 4. Let m(i) be the first derivative of u(i). Suppose m(q) = 0. What is q?
-1
Let l(s) be the first derivative of -70*s**6/3 - 236*s**5/5 - 7*s**4 + 92*s**3/3 + 12*s**2 + 54. Determine c, given that l(c) = 0.
-1, -2/7, 0, 3/5
Let w(a) be the third derivative of 0 - 1/2016*a**8 + 0*a**7 + 1/360*a**6 + 0*a**3 - 1/144*a**4 + a**2 + 0*a**5 + 0*a. Solve w(k) = 0 for k.
-1, 0, 1
Let w(g) be the second derivative of -g**6/14 - 3*g**5/70 + 15*g**4/28 + 8*g**3/7 + 6*g**2/7 - 2*g + 15. Suppose w(s) = 0. Calculate s.
-1, -2/5, 2
Suppose 0*f**2 + 0*f - 2/3*f**4 + 0 + 0*f**3 = 0. What is f?
0
Factor 4 - 7/4*v**2 + 2*v + 1/4*v**3.
(v - 4)**2*(v + 1)/4
Find o, given that 0*o - 2/5*o**2 + 2/5 = 0.
-1, 1
Let i(p) be the third derivative of -p**5/20 + p**4/2 - 2*p**3 - 6*p**2. What is b in i(b) = 0?
2
Factor 2/9*y**3 - 2/9*y**5 + 0*y**4 + 0 + 0*y**2 + 0*y.
-2*y**3*(y - 1)*(y + 1)/9
Let z(x) be the third derivative of x**2 + 0*x**3 - 1/360*x**6 + 0*x**4 + 1/630*x**7 + 0 + 0*x**5 + 0*x. Factor z(o).
o**3*(o - 1)/3
Determine q so that 2/3*q**4 + 0*q + 4/3*q**3 + 0 + 2/3*q**2 = 0.
-1, 0
Let p(i) be the first derivative of -i**6/10 + 6*i**5/25 + 3*i**4/20 - 2*i**3/5 - 35. Determine j, given that p(j) = 0.
-1, 0, 1, 2
Let t(l) be the second derivative of -l**7/63 - 4*l**6/45 - l**5/5 - 2*l**4/9 - l**3/9 - 2*l. Let t(s) = 0. Calculate s.
-1, 0
Suppose 0 = 4*d - 0*d + 20. Let q = -3 - d. Factor -2*x**3 + x**3 - 2*x**q + 0*x - x + 0*x**3.
-x*(x + 1)**2
Let z = -1 - -3. Let q(j) = j**2 - 3*j - 7. Let h be q(5). Factor -d**5 - z*d**5 - d**4 + d**h + 2*d**5 + d**2.
-d**2*(d - 1)*(d + 1)**2
Suppose 0*z - 12 = 4*z. Let f(o) = o**2 + 2*o + 1. Let t be f(z). Suppose -14*q**4 + q + 3*q + q**2 + 13*q**2 - t*q**3 = 0. What is q?
-1, -2/7, 0, 1
Factor -4*c**5 + 45*c**3 + 56*c**2 - 70*c + 3*c**3 + 8*c**4 + 90*c.
-4*c*(c - 5)*(c + 1)**3
Let r = -5/11 - -21/22. Let d be (-2)/(-8)*(-43 + 48). Factor -r*z - d*z**2 + 0 + 7/4*z**3.
z*(z - 1)*(7*z + 2)/4
Let t = -509/9 + 57. Let v(p) = p + 8. Let r be v(-6). Let 2/9*g**r + t*g + 2/9 = 0. What is g?
-1
Let j(t) be the third derivative of -1/15*t**5 - t**2 - 1/60*t**6 + 0 + 0*t + 1/336*t**8 + 1/105*t**7 + 1/24*t**4 + 1/3*t**3. Factor j(k).
(k - 1)**2*(k + 1)**2*(k + 2)
Let t(j) be the first derivative of -j**6/2 - 3*j**5/5 + 3*j**4/4 + j**3 - 7. Factor t(o).
-3*o**2*(o - 1)*(o + 1)**2
Let d be (-9)/(-2)*(-24)/18. Let q(a) = a**2 + 7*a + 4. Let x(j) = -2*j**2 - 13*j - 8. Let h(t) = d*x(t) - 10*q(t). Solve h(f) = 0 for f.
-2
Suppose 0*g + 2*g = 4. Determine l so that 2*l - l**3 + l**2 - 3*l**3 + g*l**3 + l**3 = 0.
-1, 0, 2
Let d be 1 + 2 + 0 + -5 + 6. Find i, given that -1/3*i + 0*i**3 + 1/3*i**5 + 0 - 2/3*i**d + 2/3*i**2 = 0.
-1, 0, 1
Suppose -192/5 - 6/5*u**3 - 12*u**2 - 192/5*u = 0. Calculate u.
-4, -2
Let r(n) be the first derivative of 2*n**5/55 - 2*n**4/11 + 10*n**3/33 - 2*n**2/11 - 11. Factor r(b).
2*b*(b - 2)*(b - 1)**2/11
Let o(i) be the first derivative of 8*i**5/5 + i**4 - 4*i**3 - 2*i**2 + 4*i - 6. Suppose o(h) = 0. Calculate h.
-1, 1/2, 1
Let n = 19/10 - 7/5. Factor 0 - 3/2*w**2 + 1/2*w - n*w**3 + 3/2*w**4.
w*(w - 1)*(w + 1)*(3*w - 1)/2
Let f(h) be the first derivative of 1/6*h**3 - 1/8*h**4 + 1/4*h**2 + 3 - 1/2*h. Factor f(z).
-(z - 1)**2*(z + 1)/2
Let x(t) be the first derivative of 3/8*t**2 + 1/16*t**4 + 1/4*t**3 + 1/4*t + 2. Factor x(u).
(u + 1)**3/4
Let z = 13 + -15. Let f(w) = w + 2. Let m be f(z). What is h in 0*h**2 - 1/3*h**5 + m + 2/3*h**3 + 0*h**4 - 1/3*h = 0?
-1, 0, 1
Factor 56/3*y**2 + 16/3*y**3 + 1 + 25/3*y.
(y + 3)*(4*y + 1)**2/3
Let n(v) be the third derivative of -3*v**2 + 0 + 0*v**3 + 1/240*v**5 + 1/96*v**4 + 0*v. Let n(b) = 0. Calculate b.
-1, 0
Let y(t) = -t - 1. Let b be y(-6). Let r(f) be the first derivative of f**b - 9/4*f**4 + 0*f - 5/3*f**3 + 1 + f**2 + 7/6*f**6. What is v in r(v) = 0?
-1, 0, 2/7, 1
Let h(a) be the first derivative of a**4/36 - a**2/6 - 7*a - 6. Let n(j) be the first derivative of h(j). Let n(u) = 0. What is u?
-1, 1
Let c(g) be the second derivative of g**8/616 - 4*g**7/1155 + g**6/660 - 5*g**2/2 - 5*g. Let y(u) be the first derivative of c(u). What is m in y(m) = 0?
0, 1/3, 1
Let c(q) be the second derivative of 3*q**5/10 - q**4/2 + q**3/3 - 7*q**2/2 + q. Let y(g) be the first derivative of c(g). Find l, given that y(l) = 0.
1/3
Suppose -2 + 6 = 4*v. Let g(m) = m**2 + 3*m + 1. Let w(k) = -k - 1. Suppose 4 = 4*h - 0*h. Let s(i) = h*g(i) + v*w(i). Suppose s(r) = 0. Calculate r.
-2, 0
Determine w so that 0*w**2 - w**3 + w**5 + 3*w**4 + 0 + 0 - 7*w**2 + 4 = 0.
-2, -1, 1
Factor 0 - 1/2*u**2 + 0*u + 3/2*u**3 + 1/2*u**5 - 3/2*u**4.
u**2*(u - 1)**3/2
Let w(n) be the second derivative of -n**6/10 - 33*n**5/50 - 33*n**4/20 - 2*n**3 - 6*n**2/5 + 7*n. Solve w(t) = 0 for t.
-2, -1, -2/5
Let d = 112/171 - 4/19. Let z(k) be the first derivative of -1 + 8/5*k**5 + 0*k - d*k**3 + 7/9*k**6 + 1/2*k**4 + 0*k**2. Factor z(a).
2*a**2*(a + 1)**2*(7*a - 2)/3
Let c be -1 - 1 - 0/3. Let q(a) = -6*a**2 - 6*a +