 + z**6/660 - z**5/330 + 5*z**3/6 - 5*z**2. Let b(g) be the first derivative of y(g). Factor b(d).
-2*d*(d - 2)*(d - 1)/11
Let q(v) be the first derivative of -v**5/15 - 7*v**4/18 - 16*v**3/27 - v**2/9 + v/3 - 45. Determine g so that q(g) = 0.
-3, -1, 1/3
Solve 2/9*y - 28/9*y**3 - 2/3*y**5 + 2/9 - 22/9*y**4 - 4/3*y**2 = 0.
-1, 1/3
Solve -16/3 + 4/3*u**2 + 4*u**3 - 16*u = 0.
-2, -1/3, 2
Let d(k) = k**2 - 13*k + 17. Let p be d(12). Let s(b) be the second derivative of 1/25*b**p + 0*b**3 + 2*b + 1/10*b**4 + 0 - 1/5*b**2. Let s(l) = 0. What is l?
-1, 1/2
Let h(j) be the third derivative of j**7/2100 + j**6/900 + 2*j**3/3 - 3*j**2. Let t(y) be the first derivative of h(y). What is c in t(c) = 0?
-1, 0
Suppose -9*m + 5*m = -12. Let o(z) be the first derivative of 1 - 1/3*z + 1/9*z**m + 0*z**2. Determine d so that o(d) = 0.
-1, 1
Factor 3/4*u**2 - 12*u + 3*u**3 - 3.
3*(u - 2)*(u + 2)*(4*u + 1)/4
Let u(x) be the third derivative of -x**8/84 + 2*x**7/105 + x**6/30 - x**5/15 + 7*x**2. Let u(g) = 0. What is g?
-1, 0, 1
Let 0*r**2 - 2*r**3 - 2*r + r**2 + 0*r**3 - 5*r**2 = 0. What is r?
-1, 0
Let z(s) be the second derivative of -s**5/20 + s**3/2 + s**2 + 4*s. Determine p so that z(p) = 0.
-1, 2
Let w be 25/(-9) - 60/(-20). Determine y so that -2/9*y**4 - w*y**3 + 0*y + 0*y**2 + 0 = 0.
-1, 0
Let g(b) be the second derivative of -b**5/420 + b**4/21 - 8*b**3/21 - b**2 + b. Let a(z) be the first derivative of g(z). Factor a(u).
-(u - 4)**2/7
Let k(i) = -i**2 - 4*i - 1. Let x be k(-2). Find b, given that 3*b**5 + 2*b**2 + 6*b**4 - 3*b - 5*b**2 - x*b**2 = 0.
-1, 0, 1
Let s(u) = u**2 + 2*u - 35. Let z be s(-7). Let v(i) be the third derivative of 2/15*i**3 + 2*i**2 + 1/300*i**5 + 1/30*i**4 + 0 + z*i. Solve v(n) = 0.
-2
Let q(j) be the first derivative of 0*j**2 - 7/16*j**4 - 1/12*j**6 - 1/6*j**3 - 7/20*j**5 + 0*j + 4. Determine n, given that q(n) = 0.
-2, -1, -1/2, 0
Let r = 26 + -26. Factor -4/3*y**3 - 2*y**4 - 2/9*y**2 + r*y - 8/9*y**5 + 0.
-2*y**2*(y + 1)**2*(4*y + 1)/9
Let s(r) be the first derivative of r**6/15 + 4*r**5/25 - r**4/5 - 8*r**3/15 + r**2/5 + 4*r/5 - 9. Let s(a) = 0. Calculate a.
-2, -1, 1
Let k = 23/73 - -4/219. Factor 0 + 0*p - k*p**2 + 1/3*p**3.
p**2*(p - 1)/3
Let g(y) = 2*y**4 - 4*y**3 + 2*y**2 - 2*y. Let u(s) = 6*s**4 - 11*s**3 + 7*s**2 - 7*s. Let m(p) = -14*g(p) + 4*u(p). Factor m(o).
-4*o**3*(o - 3)
Let p(y) be the second derivative of -y**4/36 + 2*y**3/9 - 2*y**2/3 + 10*y. Let p(i) = 0. What is i?
2
Let j(z) be the first derivative of -2*z**3/3 - 2*z**2 - 2*z + 8. Determine g, given that j(g) = 0.
-1
Let a be (-1)/3 + 1016/240. Let p(h) be the first derivative of -12/5*h**2 + 4*h**3 + 21/25*h**5 + 0*h + 2 + a*h**4. Factor p(r).
3*r*(r + 2)**2*(7*r - 2)/5
Let a(u) be the second derivative of u**4/4 - u**3 - 9*u**2/2 - 18*u. Factor a(f).
3*(f - 3)*(f + 1)
Factor 2*l**3 + 369*l + 3*l**2 - 1 - 2*l**4 - l**3 - 370*l.
-(l - 1)**2*(l + 1)*(2*l + 1)
Let p be (168/(-100) + 0)*-5. Let r(z) be the second derivative of p*z**5 + 22/3*z**4 + 2*z + 49/30*z**6 - 16*z**3 + 0 + 8*z**2. Let r(g) = 0. What is g?
-2, 2/7
Factor -8 + 33*k**2 - 18 - 90*k**2 + 2 - 21*k**3 + 102*k.
-3*(k - 1)*(k + 4)*(7*k - 2)
Suppose 0*t = 5*t. Suppose -3*i + 0*z + 32 = -5*z, 5*i + 3*z - 8 = t. Suppose 4/5*d**i + 2/5*d**5 - 2/5*d**3 + 0 - 4/5*d**2 + 0*d = 0. Calculate d.
-2, -1, 0, 1
Suppose y - 10 = -4*y. Factor -s**4 + 20 + s - 20 + s**y - s**3.
-s*(s - 1)*(s + 1)**2
Let j(h) be the first derivative of -h**3/3 - 3*h**2/2 + 4*h + 16. Find k such that j(k) = 0.
-4, 1
Let r(k) be the third derivative of 1/6*k**4 + 0*k + 3*k**2 + 1/60*k**5 + 2/3*k**3 + 0. Solve r(b) = 0.
-2
Let h = -33 + 38. Let o(r) be the first derivative of 2 - 2/7*r - 2/7*r**2 + 2/35*r**h + 0*r**3 + 1/7*r**4. Factor o(i).
2*(i - 1)*(i + 1)**3/7
Let d(r) be the first derivative of -1/12*r**4 + 0*r**3 + 0*r**5 + 1/30*r**6 + 2 - r + 0*r**2. Let j(k) be the first derivative of d(k). What is p in j(p) = 0?
-1, 0, 1
Let y(u) be the first derivative of 4/3*u**5 + 2*u**4 + 1/3*u**2 + 1/3*u**6 + 4/3*u**3 + 0*u - 4. Find i such that y(i) = 0.
-1, -1/3, 0
Let y(c) = 3*c**3 - 3*c**2 - c + 1. Let l(u) = 4*u**3 - 4*u**2 - u + 1. Suppose 4*p - 20 = 4*s, -4*p + 2*s + 22 = -3*s. Let n(i) = p*y(i) - 2*l(i). Factor n(b).
(b - 1)**2*(b + 1)
Let v(o) be the second derivative of -1/42*o**7 + 1/6*o**6 - 5/6*o**3 + 1/2*o**2 - 1/2*o**5 + 5/6*o**4 + 0 + 2*o. Factor v(h).
-(h - 1)**5
Suppose -4/5*c**4 + 24/5 - 4*c**3 + 4*c - 4*c**2 = 0. What is c?
-3, -2, -1, 1
Suppose 30 = 4*q + s, -3*q + 5*s = -7*q + 22. Let p = q - 8. Suppose -1 + u**2 - 2*u - 4 + p*u**2 + 6 = 0. What is u?
1
Let x(f) be the first derivative of f**8/336 - f**6/60 + f**4/24 + 3*f**2/2 - 2. Let n(b) be the second derivative of x(b). Factor n(z).
z*(z - 1)**2*(z + 1)**2
Let a(h) = h**2 + h + 1. Let i(j) = j**2 + 9*j - 1. Let u be 2/((16/6)/(-4)). Let q(b) = u*a(b) + i(b). Find x such that q(x) = 0.
1, 2
Suppose 0 = 4*k - 6*k + 4. Let a(b) be the third derivative of 1/480*b**6 + 0*b - k*b**2 + 1/240*b**5 + 0 + 0*b**3 + 0*b**4. Factor a(y).
y**2*(y + 1)/4
Let n = 13 - 14. Let p be 24/14 - (-1 - n). What is s in p*s**2 + 2/7*s**4 - 8/7*s**3 + 2/7 - 8/7*s = 0?
1
Let u be ((-81)/(-135))/((-4)/((-240)/27)). Find j, given that 4/3*j + 1/3*j**3 - u*j**2 + 0 = 0.
0, 2
Suppose n - 4*l - 6 = 3*n, 0 = -3*l - 6. Let z(k) = -12*k**2 - 15*k. Let x(b) = b**2 - 3*b + 5*b - b. Let g(o) = n*z(o) + 9*x(o). Let g(p) = 0. What is p?
-2, 0
Let c(r) = -r**4 + 30*r**3 + 14*r**2 - 36*r - 19. Let s(m) = -m**4 - m**2 - m + 1. Let w(o) = c(o) - 6*s(o). Factor w(d).
5*(d - 1)*(d + 1)**2*(d + 5)
Let s(q) be the first derivative of -q**4/14 - 2*q**3/7 + 28. Find z such that s(z) = 0.
-3, 0
Let l = -55 + 60. What is p in 4*p**2 + 6*p**3 + 0*p + 1/2*p**l + 0 + 3*p**4 = 0?
-2, 0
Let f(a) be the second derivative of -3/2*a**4 - 12*a**2 - a - 3/20*a**5 + 0 - 6*a**3. Let f(q) = 0. Calculate q.
-2
Let i(f) = f**2 - 3*f. Suppose 0*b - 5*j + 8 = 3*b, 2*b + 4*j - 6 = 0. Let k(n) = -1 - n + b. Let m(l) = 2*i(l) - 6*k(l). Factor m(y).
2*y**2
Let -3*m**3 + m**4 + m**4 - 3*m**4 - 2*m**2 = 0. What is m?
-2, -1, 0
Let x be (-1)/(1 + 24/(-20)). Let i be 7/x - 2/5. Find r such that i - 3/2*r**2 + 1/2*r = 0.
-2/3, 1
Suppose 6 = -2*r + 2*u, -3 = -r + 2*u - 3*u. Factor 0*b**3 - b**2 + 1/2*b + r + b**4 - 1/2*b**5.
-b*(b - 1)**3*(b + 1)/2
Suppose -27*u**3 - 7*u**3 + 10*u**2 + 8*u - 6*u**4 + 14*u**2 + 8*u**5 = 0. Calculate u.
-2, -1/4, 0, 1, 2
Let c(y) be the third derivative of 11/24*y**4 - 1/3*y**3 + 0 + 0*y + 7/120*y**6 + 3*y**2 - 4/15*y**5. Factor c(r).
(r - 1)**2*(7*r - 2)
Let u(v) = -v**4 + v**3 - v**2 + v - 1. Let l(w) = 2*w**4 - 14*w**3 + 18*w**2 - 6*w - 2. Let d(m) = l(m) - 2*u(m). Factor d(s).
4*s*(s - 2)*(s - 1)**2
Let b(z) be the third derivative of -z**7/42 + z**6/6 - z**5/4 - 5*z**4/6 + 10*z**3/3 - 17*z**2. Find v, given that b(v) = 0.
-1, 1, 2
Let x(s) be the first derivative of 3*s**4/16 - s**3/2 - 21*s**2/8 - 3*s - 38. Determine w, given that x(w) = 0.
-1, 4
Let y(p) be the third derivative of p**11/997920 - p**9/60480 - p**8/30240 + p**5/20 - p**2. Let a(g) be the third derivative of y(g). Factor a(l).
l**2*(l - 2)*(l + 1)**2/3
Let b(q) be the third derivative of -1/350*q**7 - 4*q**2 - 1/50*q**6 - 1/10*q**3 - 3/50*q**5 + 0 - 1/10*q**4 + 0*q. Let b(s) = 0. Calculate s.
-1
Let y(k) be the second derivative of -1/90*k**6 - 1/6*k**2 + 0*k**3 + 0*k**5 + 0 + 1/18*k**4 + 4*k. Factor y(x).
-(x - 1)**2*(x + 1)**2/3
Let n(q) be the first derivative of -q**6/180 - q**5/20 - q**4/6 + q**3 + 1. Let f(s) be the third derivative of n(s). Factor f(t).
-2*(t + 1)*(t + 2)
Factor -22/3*t**2 + 24 + 2/3*t**3 + 16*t.
2*(t - 6)**2*(t + 1)/3
Let -2/5*i**3 + 0 - 2/5*i**5 + 4/5*i**4 + 0*i + 0*i**2 = 0. What is i?
0, 1
Let i(j) = j**2 - 1. Let u be i(-5). Suppose 5*x - u = -9. Factor -17*t**3 + x*t**2 + 5*t**2 - 2*t + 5*t**3 + 8*t**4 - 2*t**5.
-2*t*(t - 1)**4
Let p(r) be the second derivative of -r**7/630 - r**6/120 - r**5/60 - r**4/72 + 2*r**2 - 4*r. Let n(g) be the first derivative of p(g). Solve n(f) = 0 for f.
-1, 0
Let t(x) = -x**2 + 11*x + 4. Let z be t(6). Factor -3*b + 0*b**3 - z*b**2 + 3*b**3 + 37*b**2 - 3*b**4.
-3*b*(b - 1)**2*(b + 1)
Let r(n) = 6*n + 70. Let b be r(-11). Let z(g) be the second derivative of 1/20*g**5