**2 + 8*x. Let v(b) = -35*b**2 + 12*b. Let j(t) = 7*o(t) - 5*v(t). Find s such that j(s) = 0.
0, 2/7
Determine a, given that -10 + 6*a - 25*a**2 + 6*a + 22*a**2 - 2 = 0.
2
Suppose -y + 5*x = -2, 0 = 16*y - 13*y + 4*x - 6. Factor 1/3*s**y + 4/3 + 4/3*s.
(s + 2)**2/3
Determine y, given that y + 4*y**5 + 366*y**4 - 3*y**2 - 726*y**4 + 363*y**4 - 5*y**3 = 0.
-1, 0, 1/4, 1
Let n(v) = 7*v**3 - 8*v**2 + 43*v. Let d(y) = -15*y**3 + 15*y**2 - 85*y. Let f(q) = -6*d(q) - 13*n(q). Suppose f(l) = 0. Calculate l.
0, 7
Suppose 5*n - 19 - 121 = 0. Let a = -47 - -49. Factor -n*w**4 + 20*w**4 - 4*w**3 + a*w**3.
-2*w**3*(4*w + 1)
Let n(q) be the first derivative of 1 - 3/5*q**5 + 0*q**2 + 0*q + 0*q**3 - 1/4*q**4. Solve n(z) = 0 for z.
-1/3, 0
Let h(f) = f**3 - f**2 - 1. Let s(m) = -51*m**3 + 201*m**2 - 60*m - 48. Let c(b) = -12*h(b) + s(b). Factor c(o).
-3*(o - 3)*(3*o - 2)*(7*o + 2)
Let j(b) be the second derivative of b**8/3360 - b**7/840 + b**6/720 + b**4/12 - b. Let w(i) be the third derivative of j(i). Factor w(x).
x*(x - 1)*(2*x - 1)
Let -3*a**3 + 13*a**3 + 2*a**2 + 3*a - 4*a - 11*a**3 = 0. Calculate a.
0, 1
Let j(t) be the second derivative of -t**6/120 - 3*t**5/80 - t**4/16 - t**3/24 - 5*t. Suppose j(z) = 0. Calculate z.
-1, 0
Let m(f) = f**2 - 4*f. Let n be m(5). Let c(d) = 3*d**2 + 3*d + 9. Let t(x) = x**2 + x + 4. Let r(k) = n*t(k) - 2*c(k). Factor r(y).
-(y - 1)*(y + 2)
Suppose 3 + 0 - l**2 - 3*l + 2*l + 3*l = 0. Calculate l.
-1, 3
Let p = 89 - 800/9. Let w(j) be the first derivative of -p*j**6 - 2/9*j**3 - 1 + 2/15*j**5 + 0*j**2 + 1/6*j**4 + 0*j. Factor w(f).
-2*f**2*(f - 1)**2*(f + 1)/3
Let n(t) be the third derivative of 6*t**2 + 0*t**5 - 1/8*t**4 + 0 + 1/20*t**6 - 1/112*t**8 + 0*t**7 + 0*t + 0*t**3. Solve n(d) = 0 for d.
-1, 0, 1
Let m = -2 + 6. Factor -a**2 + 6*a**4 + m*a - a**4 - 5*a**2 - 3*a**4.
2*a*(a - 1)**2*(a + 2)
Let b(j) = -21*j**2 + 24*j - 8. Let f(x) = x**2 + x - 1. Let h(g) = -b(g) + 4*f(g). Solve h(z) = 0 for z.
2/5
Let k(j) be the third derivative of -11*j**7/6300 + 13*j**6/1800 - j**5/150 + j**4/8 + 2*j**2. Let s(z) be the second derivative of k(z). Factor s(n).
-2*(n - 1)*(11*n - 2)/5
Factor 2/11*d**3 + 4/11*d**2 + 0 + 0*d.
2*d**2*(d + 2)/11
Let h(w) be the first derivative of 1 + w - 1/8*w**4 + 1/2*w**3 - 1/10*w**5 + 5/4*w**2. Factor h(g).
-(g - 2)*(g + 1)**3/2
Let w(d) be the third derivative of 1/90*d**5 + 0 + 0*d**4 + 0*d + 2*d**2 - 1/9*d**3. Determine f so that w(f) = 0.
-1, 1
Let o(g) be the third derivative of g**5/140 - 23*g**2. Factor o(x).
3*x**2/7
Suppose 0 = -2*z + 2, -l - 14*z + 6 = -10*z. Factor 4/5*s**l + 2/5*s + 2/5*s**3 + 0.
2*s*(s + 1)**2/5
Let q(x) be the first derivative of x**4/12 - x**3/3 + 4*x/3 - 9. Factor q(v).
(v - 2)**2*(v + 1)/3
Let n(j) be the second derivative of j**6/165 - j**5/110 - 3*j**4/22 - j**3/3 - 4*j**2/11 - 17*j. Let n(s) = 0. What is s?
-1, 4
Let t(b) be the second derivative of b**7/84 - b**6/15 + 3*b**5/40 + b**4/6 - b**3/3 + 49*b. Let t(f) = 0. Calculate f.
-1, 0, 1, 2
Let m(o) = -15*o**4 - 3*o**3 + 15*o**2 - 15*o - 9. Let g(l) = 7*l**4 + l**3 - 7*l**2 + 7*l + 4. Let r(z) = 9*g(z) + 4*m(z). Factor r(b).
3*b*(b - 1)**2*(b + 1)
Let j(t) be the first derivative of 3 + 0*t - 2/3*t**2 + 2/3*t**3. Factor j(c).
2*c*(3*c - 2)/3
Let s(q) = -5*q**2 - 3*q + 7. Let k be s(-3). Let d = 31 + k. Solve -4/7*u**2 - d*u + 4/7 + 2*u**3 = 0 for u.
-1, 2/7, 1
Let c be 2/(-2) - -2 - -4. Suppose -2*q + 7 = -c. Suppose -14/3*b**4 + q*b + 4/3 + 10/3*b**2 - 6*b**3 = 0. Calculate b.
-1, -2/7, 1
Let w(v) = -5*v**5 - 10*v**4 - 5*v**3 + 2. Let y(c) = -10*c**5 - 20*c**4 - 10*c**3 + 5. Let j(d) = -5*w(d) + 2*y(d). Suppose j(g) = 0. What is g?
-1, 0
Let w be ((-16)/18)/(4/(-6)). Let m be (-4)/12*4*-1. Factor 1/3*l**3 + 0 + m*l**2 + w*l.
l*(l + 2)**2/3
Let y(v) = 2*v - 5. Let i be y(4). Let t(c) be the second derivative of 0*c**i + 1/30*c**5 + 0 + 1/90*c**6 + 0*c**2 + c + 1/36*c**4. Find q such that t(q) = 0.
-1, 0
Let 0*q**2 + 0*q + 2/17*q**3 + 0 + 0*q**4 - 2/17*q**5 = 0. What is q?
-1, 0, 1
Let g(v) be the second derivative of -1/22*v**4 + 0 - 1/165*v**6 - 4/33*v**3 + 2/55*v**5 + 4/11*v**2 - 2*v. Let g(b) = 0. What is b?
-1, 1, 2
Let s be (3/10)/((-9)/(-4)). Let p(h) be the second derivative of 1/25*h**5 + 0*h**4 + 2*h + 1/75*h**6 - s*h**3 + 0 - 1/5*h**2. Factor p(a).
2*(a - 1)*(a + 1)**3/5
Suppose -6*l + 4 + 14 = 0. Solve 0*t - 4/7*t**2 + 0 - 2/7*t**l = 0.
-2, 0
Let u(z) be the first derivative of -3*z**4/20 + 3*z**2/10 + 12. Factor u(q).
-3*q*(q - 1)*(q + 1)/5
Let k(b) be the third derivative of b**5/20 + b**4/8 - 3*b**3 + 39*b**2 - 2. Factor k(p).
3*(p - 2)*(p + 3)
Let z(h) be the third derivative of h**8/10080 - h**6/2160 + h**3/3 - h**2. Let l(m) be the first derivative of z(m). Suppose l(v) = 0. What is v?
-1, 0, 1
Determine k, given that 0 - 2/9*k + 2/9*k**2 = 0.
0, 1
Suppose -z = -4 - 0. Find j such that 2*j**3 + 1/4 + 0*j - 3/2*j**2 - 3/4*j**z = 0.
-1/3, 1
Let p = 29 + -83/3. Let 0 + 0*z - 2/3*z**3 - p*z**2 = 0. What is z?
-2, 0
Let w(j) = -j**3 + 2*j**2 + 3*j - 3. Let p be w(2). Factor -4*a**4 - a**p - 2*a + 2*a**5 + 3*a**3 + 2*a.
2*a**3*(a - 1)**2
Let p(w) = -3*w**2 - 3*w. Let c(h) be the third derivative of -h**5/10 - h**4/4 - h**3/6 + h**2. Let k(z) = 6*c(z) - 13*p(z). Factor k(x).
3*(x - 1)*(x + 2)
Factor 0*j + 0 + 2/7*j**4 - 2/7*j**2 - 2/7*j**5 + 2/7*j**3.
-2*j**2*(j - 1)**2*(j + 1)/7
Suppose -2*l = 2*w - 8, l + l = -w + 6. Solve -1/3*z - 2/3*z**4 + 2/3*z**l + 1/3*z**3 + 0 = 0.
-1, 0, 1/2, 1
Let w be 2/15*1*(-7)/(-14). Let c(u) be the second derivative of -3/10*u**5 + w*u**6 + 0*u**2 + 1/2*u**4 + 4*u - 1/3*u**3 + 0. Factor c(p).
2*p*(p - 1)**3
Let w be 20/(-6)*(-180)/50. Let c = -8 + 13. Find y, given that -w*y**2 + 20*y - 4 + 4*y**3 - c*y**2 + 0 = 0.
1/4, 2
Let h(l) be the first derivative of l**9/6048 + l**8/3360 - l**7/1680 - l**6/720 + l**3 + 3. Let r(s) be the third derivative of h(s). Let r(d) = 0. What is d?
-1, 0, 1
Suppose -1 = 4*w - 5*u + 3, 5*u - 16 = w. Factor -7*d**4 - 3*d**w - 6*d**3 - 14*d**2 - 4*d - 5*d**5 - 12*d**3 + 3*d**5.
-2*d*(d + 1)**3*(d + 2)
Let g(w) = -5 + 0 + 2 + 2. Let v(k) = -k**3 - k**2 + k - 4. Let q(n) = -10*g(n) + 2*v(n). Factor q(b).
-2*(b - 1)*(b + 1)**2
Let u be 58/198 + (-12)/66. Let l(x) be the first derivative of u*x**4 + 0*x**3 + 2 - 2/9*x**2 + 2/9*x - 2/45*x**5. Factor l(j).
-2*(j - 1)**3*(j + 1)/9
Let x(l) be the second derivative of -1/21*l**3 - 4*l - 5/42*l**4 - 3/70*l**5 + 0 + 0*l**2 + 4/147*l**7 + 1/21*l**6. Let x(v) = 0. Calculate v.
-1, -1/4, 0, 1
Suppose 5*j - 9 = 1. Suppose 2 = v - u, v + 2*u - 6 - j = 0. Factor v*c - 1 - 3*c**2 + 4*c**2 - 5*c**2.
-(2*c - 1)**2
Let o(l) = 4*l**4 + 24*l**3 + 57*l**2 + 48*l + 11. Let z(n) = 2*n**4 + 12*n**3 + 28*n**2 + 24*n + 6. Let t(p) = 2*o(p) - 5*z(p). Factor t(k).
-2*(k + 1)**2*(k + 2)**2
Let t(o) = -o. Let x be t(-2). Let q be (-16)/(-10) - x/(-5). Factor 1/5 - 2/5*b + 1/5*b**q.
(b - 1)**2/5
Let y(w) = -w**3 - w**2 - w. Let t be y(0). Find a, given that 0 + 0*a**2 - a**4 + t*a + 1/2*a**5 + 0*a**3 = 0.
0, 2
Let o(l) be the first derivative of 1/2*l**2 + 0*l - l**3 - 1. Factor o(f).
-f*(3*f - 1)
Let f(m) be the third derivative of m**8/9240 - m**7/2310 + 5*m**3/3 + 2*m**2. Let g(z) be the first derivative of f(z). Let g(p) = 0. What is p?
0, 2
Suppose 5*j - 4*y = j + 16, j + y = 4. Let w(u) be the first derivative of 4/3*u**3 - 3*u**2 - 3 - j*u. Factor w(x).
2*(x - 2)*(2*x + 1)
Let n = -22 + 24. Factor 1 + 3*j**n + 0*j**2 - 7 + 3.
3*(j - 1)*(j + 1)
Factor -4 + 46*c - 189*c**2 - 343/2*c**4 + 637/2*c**3.
-(c - 1)*(7*c - 2)**3/2
Let c(g) = 3*g**3 - 4*g**2 - 8*g - 1. Let r(i) = -i**4 - i**3 + i**2 - 1. Let w(j) = 2*c(j) - 10*r(j). Solve w(f) = 0 for f.
-2, -1, 2/5, 1
Let m(c) be the second derivative of c**6/120 - c**4/16 - c**3/12 - 2*c. Suppose m(x) = 0. What is x?
-1, 0, 2
Let b(k) = -k**5 + 18*k**3 + 6*k**2 - 11*k. Let h(i) = i**3 - i. Let d(j) = -4*b(j) + 44*h(j). Factor d(t).
4*t**2*(t - 3)*(t + 1)*(t + 2)
Factor 6/7*q**3 - 6/7*q**2 + 2/7*q + 0 - 2/7*q**4.
-2*q*(q - 1)**3/7
Let k(b) = b**3 + 3*b**2 + 2*b - 1. Let n be k(-4). Let y = n + 27. Factor 1/2*d**y + 1/2 - 5/4*d.
(d - 2)*(2*d - 1)/4
Let h(r) be the first derivative of -r**3 + 12*r - 4. Factor h(l).
-3*(l - 2)*(l + 2)
Let i(q) be the first derivative of -3*