b) be the second derivative of -3*b**2 - 5*b + 1/4*b**4 + 0 - 1/2*b**3. Find x, given that a(x) = 0.
-1, 2
Let r(p) be the third derivative of 0*p + 0*p**5 + 0*p**3 - p**2 - 1/20*p**6 + 1/3*p**4 + 1/105*p**7 + 0. Suppose r(a) = 0. What is a?
-1, 0, 2
Let h = -6 + 10. Let k = -2 + h. Let -d**3 + 2*d**3 - 3*d**2 + 2*d**k = 0. Calculate d.
0, 1
Let l(c) = -c**3 - 4*c**2 - 3*c + 3. Let m be l(-3). Factor y + 2*y**4 + 0*y - 1 + 0*y**4 - 4*y**3 + m*y**2 - y**3.
(y - 1)**3*(2*y + 1)
Let u = 362/133 + -30/19. Let r = -1/2 - -11/14. Determine a, given that -r*a**2 - u + 8/7*a = 0.
2
Let x = 32 - 32. Let j(n) be the third derivative of 0*n**4 + n**2 + x*n + 0*n**3 + 1/240*n**5 + 0 - 1/160*n**6. Determine t so that j(t) = 0.
0, 1/3
Let s(n) be the second derivative of n**9/13608 - n**7/1890 + n**5/540 - n**3/6 + n. Let h(p) be the second derivative of s(p). Suppose h(i) = 0. What is i?
-1, 0, 1
Let r be (-24)/(-4)*6/63. Let t(c) be the first derivative of r*c**2 - 8/7*c - 2/21*c**3 - 3. Factor t(l).
-2*(l - 2)**2/7
Suppose 0 = -j - 4*j - 20. Let z be 1*j/12*-1. Factor 0 + 0*p**2 + 2/3*p**4 + 0*p - 1/3*p**3 - z*p**5.
-p**3*(p - 1)**2/3
Let g = 5921/9 - 657. What is m in 8/9*m**3 + 2/9*m**4 + 4/3*m**2 + 2/9 + g*m = 0?
-1
Let i(c) be the third derivative of 0*c**3 + 0*c**4 + 4*c**2 - 1/660*c**6 + 0*c + 0 + 1/165*c**5. Determine k so that i(k) = 0.
0, 2
Suppose 6 - 3 = o - 3*m, -5*m = -5*o + 15. Let b(d) be the first derivative of 2/15*d**o - 2 + 0*d + 0*d**2. Factor b(q).
2*q**2/5
Let n(f) be the second derivative of -f**5/80 + f**4/48 + 22*f. What is j in n(j) = 0?
0, 1
Let v(t) be the second derivative of -t**7/2520 - t**6/360 - t**4/12 + 3*t. Let p(k) be the third derivative of v(k). Factor p(j).
-j*(j + 2)
Determine f so that -2/3*f**5 - 2/3*f**3 + 0 - 4/3*f**4 + 0*f + 0*f**2 = 0.
-1, 0
Let b(p) be the first derivative of -p**6/18 + 2*p**5/15 - 2*p**3/9 + p**2/6 - 12. Factor b(u).
-u*(u - 1)**3*(u + 1)/3
Let t(u) be the third derivative of 1/735*u**7 + 0 + 2*u**2 - 1/21*u**3 + 0*u - 1/210*u**6 + 0*u**5 + 1/42*u**4. What is f in t(f) = 0?
-1, 1
Let y(w) be the first derivative of -2*w**5/35 + 2*w**3/21 + 13. Solve y(m) = 0.
-1, 0, 1
Let y(v) be the second derivative of -v**7/210 + 2*v**6/75 - 3*v**5/50 + v**4/15 - v**3/30 - 8*v. Let y(a) = 0. What is a?
0, 1
Factor 0*u**2 + 7*u**2 + 4*u**2 + 9*u**3 - 2*u**2 + 3*u + 3*u**4.
3*u*(u + 1)**3
Let 8/11*i + 2/11*i**5 + 26/11*i**3 - 12/11*i**4 - 24/11*i**2 + 0 = 0. What is i?
0, 1, 2
Let o(u) = 11*u**3 - 5*u**2. Let b(q) = 4*q**3 - 2*q**2. Let f(r) = 8*b(r) - 3*o(r). Factor f(x).
-x**2*(x + 1)
Suppose 5*p - 8 = 7. Let k(j) be the first derivative of 4*j**2 - 1 - 16/3*j + 1/6*j**4 - 4/3*j**p. Determine n so that k(n) = 0.
2
Let m be 2 - (2/(-2) - 5). Suppose 0 = 2*o - m, 0 = 3*t - o - 3 + 1. Solve -12/7*w**4 + 8/7*w + 18/7*w**5 - 22/7*w**3 + 8/7*w**t + 0 = 0 for w.
-2/3, 0, 1
Factor 0*c - 3/2*c**2 + 1/2*c**5 + 0 - 5/2*c**3 - 1/2*c**4.
c**2*(c - 3)*(c + 1)**2/2
Let k be 0/(5/10*6). Factor -8/7*s**2 - 2/7*s - 6/7*s**3 + k.
-2*s*(s + 1)*(3*s + 1)/7
Let y(h) = -3*h + 18. Let i be y(5). Factor 0 - 1/2*p + p**2 - 1/2*p**i.
-p*(p - 1)**2/2
Let y(t) be the first derivative of 0*t**3 + 0 - 4 - 9*t**2 + t**3 + 28*t - t. Factor y(i).
3*(i - 3)**2
Factor 1/2 + 0*g - 1/2*g**2.
-(g - 1)*(g + 1)/2
Suppose -9*d = -2*d. Let q(w) be the first derivative of 1 + d*w**4 + 0*w + 0*w**2 + 0*w**3 + 1/10*w**5. Determine f so that q(f) = 0.
0
Let i(s) be the first derivative of -s**4/4 + 5. Factor i(k).
-k**3
Let z = 18 + -13. Let r be (-6)/(-15) - (-8)/z. Factor -2/5*k**4 + 2/5*k**r + 2/5*k**3 + 0 - 2/5*k**5 + 0*k.
-2*k**2*(k - 1)*(k + 1)**2/5
Let p be 6/18 - 158/6. Let m = p + 26. Solve 9/2*k**3 + 3*k**2 + m + 1/2*k + 2*k**4 = 0.
-1, -1/4, 0
Let b(d) be the first derivative of d**6/6 - 6*d**5/5 + 3*d**4 - 10*d**3/3 + 3*d**2/2 - 1. Determine j so that b(j) = 0.
0, 1, 3
Solve 2*a**4 - a**4 + 24*a + a**4 - 8*a**3 - 4*a**2 + 5 + 13 = 0 for a.
-1, 3
Let x(y) be the third derivative of -y**5/60 + y**4/84 + 3*y**2. Factor x(a).
-a*(7*a - 2)/7
Let v be 2/(-5)*(3 - (-46)/(-12)). Suppose -4*b = -8*b + 8. Factor v + r + 1/3*r**3 + r**b.
(r + 1)**3/3
Let o = 2 + 1. Suppose o*x = 3*s - 9, 2*s - 2*x = 5*s - 9. Factor 0*k**s + 1/4*k**4 - 1/4*k**2 + 0 + 0*k.
k**2*(k - 1)*(k + 1)/4
Let l(x) = 3*x**2 + 7*x - 6. Let s(p) = -2*p**2 - p + 1. Let k(r) = -2*l(r) - 4*s(r). Let k(d) = 0. What is d?
1, 4
What is l in -3/4 + 3/4*l**2 + 1/4*l**3 - 1/4*l = 0?
-3, -1, 1
Let r(g) be the first derivative of 0*g**4 + 1/15*g**3 - 1/150*g**5 - 3 + 1/2*g**2 + 0*g. Let n(u) be the second derivative of r(u). Let n(c) = 0. What is c?
-1, 1
Suppose 0 = m - 20 + 17. Solve 3/5*w + 0*w**2 - 3/5*w**m + 0 = 0.
-1, 0, 1
Let t be (-10)/(-8) - 21/(-28). Let v(r) be the second derivative of 0 + 4/7*r**t - 9/70*r**5 - 16/21*r**3 + 1/2*r**4 + 3*r. Let v(g) = 0. What is g?
2/3, 1
Let y be -7 + 9 + 2371/9. Let u = y + -265. Suppose 0 - u*n**2 + 0*n**3 + 4/9*n**4 - 2/9*n + 2/9*n**5 = 0. What is n?
-1, 0, 1
Let j be (20/(-275))/((-4)/10). Let d = j - -1/55. Factor 1/5*x**5 - 2/5*x**3 + 1/5*x - 2/5*x**2 + 1/5*x**4 + d.
(x - 1)**2*(x + 1)**3/5
Let i(h) be the second derivative of 0*h**2 + 4/75*h**6 - 9/50*h**5 + 0 + 3*h + 1/15*h**4 + 0*h**3. Suppose i(f) = 0. Calculate f.
0, 1/4, 2
Let -1/2 - 5/4*y + 7/4*y**2 = 0. What is y?
-2/7, 1
Suppose 0*r**2 - 3/5*r + 3/5*r**3 + 0 = 0. What is r?
-1, 0, 1
Let s(i) be the second derivative of 0 + 1/24*i**4 + 0*i**2 - i + 0*i**3. Solve s(p) = 0 for p.
0
Let a(s) be the third derivative of 0*s - 1/21*s**3 + 0 + 6*s**2 - 5/84*s**4 - 1/30*s**5 - 1/140*s**6. Factor a(f).
-2*(f + 1)**2*(3*f + 1)/7
Suppose -3*l = 2*j - 8*l - 30, 0 = 5*j + 3*l - 44. Let h be 2/j*(-5)/(-3). Factor 0*r**2 + 2/3*r**3 + 1/3*r**4 - 2/3*r - h.
(r - 1)*(r + 1)**3/3
Let w(l) = l**2 + 3*l + 3. Let m be w(-3). Solve m*k**2 - 4*k**2 + 3 - 2 = 0 for k.
-1, 1
Let a(u) be the third derivative of 9*u**7/490 - 3*u**6/35 + 11*u**5/70 - u**4/7 + u**3/14 + u**2. Factor a(l).
3*(l - 1)**2*(3*l - 1)**2/7
Let v(t) be the first derivative of t**6/15 - t**4/10 + 3. Factor v(d).
2*d**3*(d - 1)*(d + 1)/5
Let u(o) be the first derivative of o**2/2 - 2*o + 2. Let p be u(5). Factor 2*y - y**4 + 0*y - y**p - y + y**2.
-y*(y - 1)*(y + 1)**2
Let j(h) be the second derivative of -h**6/15 - 4*h. Factor j(q).
-2*q**4
Let f(t) be the first derivative of -t**4/2 + 4*t**3 - 9*t**2 + 5. Factor f(l).
-2*l*(l - 3)**2
Let h(v) be the first derivative of -v**2 + 4 + 2/5*v**5 - 2*v**3 + 1/2*v**4 + 4*v. Factor h(j).
2*(j - 1)**2*(j + 1)*(j + 2)
Let c(z) = z**2 - 3*z + 5. Let p be c(0). Let y(i) be the second derivative of -1/3*i**3 + 2/5*i**p + 0*i**2 - 1/2*i**4 - 3*i + 0. Factor y(k).
2*k*(k - 1)*(4*k + 1)
Let x(g) be the third derivative of g**8/1680 + g**7/420 - g**6/360 - g**5/60 + g**3/6 - 3*g**2. Let j(u) be the first derivative of x(u). Solve j(q) = 0.
-2, -1, 0, 1
Let r be (-2 - (2 - 4))*1. Let m(v) be the first derivative of 3 + 2*v + r*v**5 + 3*v**2 - 2/3*v**3 - 7/2*v**4 + 4/3*v**6. Find n such that m(n) = 0.
-1, -1/2, 1
Let b = -2 + 14/5. Factor 18/5*g**2 + 14/5*g + 2/5*g**4 + b + 2*g**3.
2*(g + 1)**3*(g + 2)/5
Let p(h) be the third derivative of 0 + 2/3*h**3 + 0*h - 1/4*h**4 + 2*h**2 + 1/30*h**5. Factor p(g).
2*(g - 2)*(g - 1)
Let y(u) be the second derivative of u**6/135 - u**5/90 - u**4/54 + u**3/27 - 14*u. Factor y(c).
2*c*(c - 1)**2*(c + 1)/9
Let c(v) = -v + 1. Let k(x) = -5*x + 11. Let n(p) = -6*c(p) + k(p). Let h be n(-4). Find z such that z - z**3 - 2 + 4 - h - z**2 = 0.
-1, 1
Let z(u) be the third derivative of u**7/105 - u**6/60 - u**5/30 + u**4/12 + u**2. Factor z(v).
2*v*(v - 1)**2*(v + 1)
Suppose 0 = 3*v - 3, 0*m = -m + 4*v - 1. Factor -4*x - x**2 + 2*x + 2*x - 9*x**m + x - 11*x**4 - 4*x**5.
-x*(x + 1)**3*(4*x - 1)
Suppose 4*l - 5 = -p, -2*l - p + 0 = -1. Solve 3 + 3*i**l - 12*i + 6 + 3 = 0 for i.
2
Let v(i) be the first derivative of 4/5*i - 3/5*i**2 - 5 + 2/15*i**3. Factor v(f).
2*(f - 2)*(f - 1)/5
Let w(o) be the first derivative of -o**4/14 + 2*o**3/21 + o**2/7 - 2*o/7 - 4. Determine y so that w(y) = 0.
-1, 1
Suppose i = 4*i - 12. Let l = 6 - i. Factor 0*n + 31*n**2 + 41*n**l + 2 - 24*n.
2*(6*n - 1)**2
Suppose -5*w + 8 = 4*i, w = -2*i - 2 + 6. Let q(b) be the first derivative of 1/15*b**3 -