vative of x**5/120 - x**4/12 - 5*x**3/12 + 13*x**2. Factor t(j).
(j - 5)*(j + 1)/2
Let k(o) = 11*o**3 + 16*o**2 + 27*o + 15. Let g(a) = -5*a**3 - 8*a**2 - 13*a - 7. Let h(z) = 7*g(z) + 3*k(z). Factor h(p).
-2*(p + 1)**2*(p + 2)
Suppose 2*a + 4 - 14 = 0. Suppose -2*v - u = -4 - 7, a*u + 5 = 2*v. Find m such that 3*m**v + 3*m**4 - m**3 - 4*m**5 - m**4 = 0.
0, 1
Factor -4/5*u**5 + 1/5*u + 1/5 + 8/5*u**4 - 1/5*u**3 - u**2.
-(u - 1)**3*(2*u + 1)**2/5
Let u = 10 - 14. Let q(a) = -a**2 + a. Let t(v) = v**2 - 16*v - 12. Let j(g) = u*q(g) - t(g). Factor j(n).
3*(n + 2)**2
Let n(j) be the first derivative of j**4/8 - 2*j**3/3 + 5*j**2/4 - j + 42. Factor n(u).
(u - 2)*(u - 1)**2/2
Let p(q) = 6*q**4 + 4*q**3 + 2. Suppose -2*i + 4*i - 8 = 0. Let o(h) = -5*h**4 - 4*h**3 + h - 1. Let v(g) = i*o(g) + 3*p(g). Determine f, given that v(f) = 0.
-1, 1
Let r be 4 - 1 - (-6)/14. Let i be (-10)/(-7)*52/65. Suppose -18/7*x**2 - i - r*x = 0. Calculate x.
-2/3
Let r(a) be the first derivative of -a**4/14 - 10*a**3/21 - 8*a**2/7 - 8*a/7 - 7. Solve r(k) = 0 for k.
-2, -1
Determine q, given that 0 - 1/2*q**3 + 1/8*q - 3/8*q**2 = 0.
-1, 0, 1/4
Let r(n) = 22*n**2 + 2*n + 10. Let o be r(-5). Let p be (-2)/(-5) + 480/o. Factor -32/11*f**2 + p*f**3 - 4/11 + 2*f.
2*(f - 1)**2*(7*f - 2)/11
Let m(o) be the first derivative of -2*o**5/11 - 6*o**4/11 - 6*o**3/11 - 2*o**2/11 - 13. What is k in m(k) = 0?
-1, -2/5, 0
Let p(r) be the first derivative of -r**6/6 + r**5/5 + r**4/4 - r**3/3 - 15. Solve p(d) = 0 for d.
-1, 0, 1
Let k(v) be the second derivative of v**4/9 - 8*v**3/9 + 8*v**2/3 + v. Factor k(h).
4*(h - 2)**2/3
Suppose 11 - 3 = 4*a. Suppose 5*z - z = 52. Let -13 + z + i**a = 0. Calculate i.
0
Let k be (1 - -1)*6/(48/28). Factor -122/3*m**2 + 20*m + 49/3*m**4 + k*m**3 - 8/3.
(m - 1)*(m + 2)*(7*m - 2)**2/3
Let t(k) be the third derivative of 5*k**8/224 + 13*k**7/140 + 9*k**6/80 - k**5/40 - k**4/8 - 5*k**2. Determine o, given that t(o) = 0.
-1, 0, 2/5
Let a(w) = -w**5 - 4*w**4 + w**3 - 2*w**2. Let n(i) = 3*i**5 + 11*i**4 - 3*i**3 + 5*i**2. Let o(b) = 8*a(b) + 3*n(b). Factor o(s).
s**2*(s - 1)*(s + 1)**2
Let y = -1 + -2. Let i(d) = 150*d**3 - 210*d**2 - 156*d - 27. Let n(q) = -299*q**3 + 420*q**2 + 312*q + 53. Let g(w) = y*n(w) - 5*i(w). Factor g(a).
3*(a - 2)*(7*a + 2)**2
Let g be 5/(-6) + 3/2. Let p(t) be the second derivative of t - 3/20*t**5 + g*t**4 + 0 + t**2 - 7/6*t**3. Find z such that p(z) = 0.
2/3, 1
Let a(k) be the second derivative of 1/21*k**4 + 0*k**2 + 0*k**3 + 0*k**5 + 3*k + 0 - 2/105*k**6. Factor a(n).
-4*n**2*(n - 1)*(n + 1)/7
Let s = 118 + -588/5. Factor s*z + 0 + 0*z**3 + 4/5*z**4 - 2/5*z**5 - 4/5*z**2.
-2*z*(z - 1)**3*(z + 1)/5
Let k be (-1584)/56 + 2/7. Let c = -83/3 - k. Factor 2/3*g**2 - 4/3*g**4 + c*g**5 - 5/3*g + 4/3*g**3 + 2/3.
(g - 2)*(g - 1)**3*(g + 1)/3
Let g(r) be the second derivative of 0*r**2 + 0 + 0*r**5 + 0*r**3 - 1/231*r**7 + 0*r**4 + r + 1/165*r**6. Factor g(f).
-2*f**4*(f - 1)/11
Suppose -14 = a - 8. Let j be (a/(-3))/(-1) + 2. Factor -5/3*o**4 + 0*o - 7/3*o**5 + 0*o**2 + j + 2/3*o**3.
-o**3*(o + 1)*(7*o - 2)/3
Let a(k) = -24*k**3 + 3*k**2 + 9. Let v(z) = 11*z**3 - 1 - 4*z**2 + 3*z**2 - 3 + z**3. Let i(r) = 4*a(r) + 9*v(r). Factor i(u).
3*u**2*(4*u + 1)
Let j(i) be the first derivative of -1 + 1/6*i + 1/12*i**4 - 1/6*i**2 - 1/30*i**5 + 0*i**3. Let j(y) = 0. What is y?
-1, 1
Let v be 15/(-20)*(-5 - -1). Suppose 9*s - 3 - 36*s**3 + 36*s**2 - v + 57*s**3 = 0. Calculate s.
-1, 2/7
Suppose -11*u = -14*u. Let x(d) be the second derivative of 0 + u*d**2 + 1/3*d**4 + 1/3*d**3 + 2*d + 1/10*d**5. Find h, given that x(h) = 0.
-1, 0
Factor 2 - 28*v**3 + 2*v + 0*v**2 - 7*v**5 + v**5 - 22*v**4 - 12*v**2.
-2*(v + 1)**4*(3*v - 1)
Suppose 18/5*r**2 + 4/5 - 22/5*r = 0. Calculate r.
2/9, 1
Let x = 0 + 0. Suppose x*h = h - 5. What is l in 0*l**3 + 0 + 0*l**2 + 2/7*l**4 + 0*l + 2/7*l**h = 0?
-1, 0
Let b(m) be the first derivative of -3*m**4/4 + 3*m**2/2 - 1. Factor b(c).
-3*c*(c - 1)*(c + 1)
Let 0*o - 6/11*o**4 - 2/11*o**2 + 6/11*o**3 + 0 + 2/11*o**5 = 0. What is o?
0, 1
Let a be (10/120)/(2/(-4))*-8. Solve -35/3*d**4 - a*d + 20/3*d**2 - 11/3*d**3 + 0 = 0 for d.
-1, 0, 2/7, 2/5
Let v(p) be the first derivative of 2*p**3/3 + 8*p**2 + 32*p + 12. Factor v(n).
2*(n + 4)**2
Let d = -3 - -7. Let t(q) be the third derivative of -1/360*q**6 + 0 + 1/60*q**5 - 2*q**2 + 1/18*q**3 - 1/24*q**d + 0*q. Factor t(x).
-(x - 1)**3/3
Let i = -11 - 0. Let o be (6/16)/(i/(-88)). Let -6/5*x**2 + 4/5*x + 2/5*x**o + 0 = 0. What is x?
0, 1, 2
Let q(o) = 3*o**2 + o + 1. Let m be q(-1). Solve f**3 + 2*f - 5*f**3 + 2*f**m - 3*f**2 + f**2 + 2 = 0.
-1, 1
Suppose -5*u + 1786 + 214 = 0. Let j be u/(-30)*(-12)/50. Factor 9/5 + 24/5*g + j*g**2.
(4*g + 3)**2/5
Let w(f) be the third derivative of 5*f**8/336 + f**7/21 - f**5/6 - 5*f**4/24 - 5*f**2. Find z such that w(z) = 0.
-1, 0, 1
Let q(a) be the first derivative of -a**3/12 - a**2/4 + 3*a/4 + 5. Suppose q(j) = 0. What is j?
-3, 1
Let n(d) be the first derivative of d**3/6 - d/2 + 3. Suppose n(r) = 0. What is r?
-1, 1
Suppose -20 = w - 4*n, 2*w + 5 = w + n. Factor w*y - 2/7*y**5 - 2/7*y**3 + 0 + 4/7*y**4 + 0*y**2.
-2*y**3*(y - 1)**2/7
Let y(i) be the third derivative of 0*i + 0 + 1/30*i**5 + 1/18*i**4 + 0*i**3 + 0*i**6 + 8*i**2 - 1/315*i**7. Determine f, given that y(f) = 0.
-1, 0, 2
Let a = 573 + -573. Factor 3/2*i + 3/4*i**2 + a.
3*i*(i + 2)/4
Solve 12/5 + 3/5*p**4 - 3*p**2 + 0*p + 0*p**3 = 0 for p.
-2, -1, 1, 2
Let r be (-5 + 4)/(1 + 0). Let a be 2/r + (-12)/(-5). Factor 2/5*p**3 + 0*p + a*p**2 + 0.
2*p**2*(p + 1)/5
Let v(k) be the first derivative of k**6/36 - k**5/10 + k**4/8 - k**3/18 + 15. Find b such that v(b) = 0.
0, 1
Let d(h) = 56*h + 1. Let x be d(1). Let c = x + -225/4. Factor -1/2 + 0*v**2 + 1/4*v**3 - c*v.
(v - 2)*(v + 1)**2/4
Let p(r) be the third derivative of 1/24*r**4 + 0 + 1/120*r**6 + 0*r**3 + 1/30*r**5 - 5*r**2 + 0*r. Factor p(f).
f*(f + 1)**2
Let u(q) be the third derivative of -q**7/2520 + q**6/180 - q**5/30 + q**4/24 + q**2. Let c(o) be the second derivative of u(o). Suppose c(f) = 0. What is f?
2
Let k(q) be the second derivative of -q**10/75600 + q**9/12600 - q**8/5600 + q**7/6300 - q**4/3 - 3*q. Let t(v) be the third derivative of k(v). Factor t(n).
-2*n**2*(n - 1)**3/5
Let q = 722/99 - 64/9. Factor -2/11 + q*y**3 - 2/11*y + 2/11*y**2.
2*(y - 1)*(y + 1)**2/11
Suppose -y - 4*y = 0. Suppose -8 = -y*g - 4*g. Let 4/7*s**2 - g*s**3 + 0*s + 0 = 0. Calculate s.
0, 2/7
What is y in -7*y + 9*y**2 - 3 + y**4 + 24*y**3 - 29*y**3 + 5 = 0?
1, 2
Let l = 977/3 - 323. Factor -l - 80/9*t - 26/3*t**2 - 2*t**3.
-2*(t + 3)*(3*t + 2)**2/9
Let r(x) = 12*x**2 - 3*x - 2. Let l(t) = -7 + 14 + 3*t - 4 - 12*t**2. Let g(k) = 2*l(k) + 3*r(k). Determine s, given that g(s) = 0.
0, 1/4
Let k(u) = -16*u**3 - 4*u**2 - 12*u + 12. Let i(o) = -o**3 - o + 1. Let y(v) = 12*i(v) - k(v). Suppose y(a) = 0. What is a?
-1, 0
Let a(n) = -n**4 - 3*n**2 + 4*n - 2. Let o(f) = -3*f**4 - 6*f**2 + 9*f - 5. Let j(t) = -5*a(t) + 2*o(t). Suppose j(m) = 0. Calculate m.
-2, 0, 1
Let t(q) be the third derivative of q**5/140 + q**4/14 + 2*q**3/7 + 27*q**2. Determine w so that t(w) = 0.
-2
Let v be 8/18*(-129)/(-86). What is n in 0 - v*n + 2/3*n**2 = 0?
0, 1
Let j(f) be the third derivative of f**6/60 - f**5/15 + 44*f**2. Factor j(q).
2*q**2*(q - 2)
Factor 3*c**3 - c**5 + 3*c**4 - 6*c**2 - 4*c**3 + 3*c**3 - c + 3.
-(c - 3)*(c - 1)**2*(c + 1)**2
Let s be 4/(96/28)*(-5)/(-140). Let z(q) be the third derivative of -1/480*q**6 - s*q**3 + 0 - 1/32*q**4 + 0*q - 1/80*q**5 + q**2. Factor z(w).
-(w + 1)**3/4
Let x be (27*(-1)/(-4))/((-30)/(-20)). Let p(v) be the first derivative of 3/5*v**5 + x*v**4 + 0*v - 3 + 12*v**2 + 12*v**3. Factor p(y).
3*y*(y + 2)**3
Let i be 2/5 + 72/20. Factor p - 4*p - 2*p**2 + 0 + i + p.
-2*(p - 1)*(p + 2)
Factor 16/9*g**2 + 4/9*g**4 + 0 + 0*g + 20/9*g**3.
4*g**2*(g + 1)*(g + 4)/9
Let t(c) be the second derivative of 6*c + 0*c**3 - 1/6*c**4 - 1/4*c**5 + 0*c**2 + 0 - 1/10*c**6. Factor t(z).
-z**2*(z + 1)*(3*z + 2)
Let n(f) = -f**2 + f - 1. Let l(y) = 2*y - 4. Let s(o) = l(o) - 2*n(o). Solve s(w) = 0 for w.
-1, 1
Let i(q) = -q**3 + 8*q**2 + q - 8. Let m be i(8). Let c be 2 - (m + 2 - 2). Suppose 2/5*b**c + 0 + 0*b = 0. What is b?
0
Factor 5*i**3 - 5/2*i +