= 16*p**2 - 4*p - 11. Let z(k) = -44*b(k) + 4*w(k). Find l, given that z(l) = 0.
-7/5, 0
Suppose 3*d = -15, -1 = 9*c - 6*c + 2*d. Factor -2/5*f + 0 + 4/5*f**2 - 2/5*f**c.
-2*f*(f - 1)**2/5
Let g(j) be the first derivative of j**3/24 - j**2/16 - 16. Find z such that g(z) = 0.
0, 1
Let o(z) = z**2 + z + 1. Let i(b) = 5*b**2 + 12*b + 6. Let y(h) = -i(h) + 6*o(h). Let s be y(6). Factor -1/3*m**2 + 1/3 + s*m.
-(m - 1)*(m + 1)/3
Let p(z) = -20*z**2 - 2*z - 14. Let n(d) = d**2 + d - 1. Let t(u) = 36*n(u) + 2*p(u). Find r such that t(r) = 0.
4
Let s be 1 - (-2)/(0 - -1). Factor 10*w**3 - 5*w - 13*w**3 + s*w**2 + w**4 + 4*w.
w*(w - 1)**3
Let t(s) be the third derivative of -s**9/15120 + s**8/3360 - s**4/3 - 7*s**2. Let f(z) be the second derivative of t(z). Factor f(p).
-p**3*(p - 2)
Let c(q) be the first derivative of -6*q**5/5 - 8*q**4/3 - 10*q**3/9 + 2*q**2/3 - 6. What is k in c(k) = 0?
-1, 0, 2/9
Let k(w) be the first derivative of -3*w**5/5 + 15*w**4/4 - 8*w**3 + 6*w**2 + 3. Solve k(h) = 0 for h.
0, 1, 2
Let d(x) be the third derivative of 1/60*x**4 + 0*x + 0 - 1/525*x**7 - 2*x**2 - 1/50*x**5 + 1/100*x**6 + 0*x**3. Factor d(a).
-2*a*(a - 1)**3/5
Factor -1 - 2/3*i + 1/3*i**2.
(i - 3)*(i + 1)/3
Let d(s) = 41*s - 21*s**2 + 17 - 2*s**2 + 14. Let r(w) = 12*w**2 - 21*w - 15. Let c(i) = -3*d(i) - 7*r(i). Let c(a) = 0. What is a?
-2/5, 2
Let a(i) = 8*i**3 + 97*i**2 + 34*i - 20. Let h(d) = -9*d**3 - 98*d**2 - 35*d + 19. Let v(x) = 3*a(x) + 4*h(x). Factor v(p).
-(p + 8)*(3*p + 2)*(4*p - 1)
Let q(d) be the second derivative of -d**4/24 - d**3/6 + 11*d. Suppose q(h) = 0. Calculate h.
-2, 0
Let m(u) be the second derivative of u**5/180 + u**4/72 - 7*u**2/2 + 2*u. Let w(n) be the first derivative of m(n). Factor w(v).
v*(v + 1)/3
Find i, given that -i**2 - i**2 + 10 - 8 = 0.
-1, 1
Let a(d) be the third derivative of 9*d**8/4480 + d**7/112 + 7*d**6/480 + d**5/80 + d**4/24 - 3*d**2. Let n(j) be the second derivative of a(j). Solve n(s) = 0.
-1, -1/3
Let c(b) be the first derivative of -1/2*b**2 - 3/2*b**4 - 1/6*b**6 + 4/3*b**3 + 4/5*b**5 + 1 + 0*b. Factor c(h).
-h*(h - 1)**4
Let i = -2 + 3. Factor -2*z**4 - 8*z**3 - i + 1 - 8*z**2.
-2*z**2*(z + 2)**2
Let p = -5 + 11. Let b(j) = -4*j**2 + 2*j - 4. Let g(v) = -5*v**2 + 3*v - 5. Let m(i) = p*g(i) - 7*b(i). Factor m(h).
-2*(h - 1)**2
Let d(k) be the third derivative of 0*k + 0*k**4 + 0 + 0*k**6 - 4*k**2 - 1/60*k**5 + 1/210*k**7 + 0*k**3. Factor d(r).
r**2*(r - 1)*(r + 1)
Let k(z) be the third derivative of z**5/120 - z**4/8 + 3*z**3/4 - 8*z**2. Solve k(u) = 0 for u.
3
Let z(b) be the first derivative of -b**4 - 4*b**3/3 + 4*b**2 + 21. Factor z(r).
-4*r*(r - 1)*(r + 2)
Factor -8/11 - 50/11*x**2 + 2/11*x**5 + 32/11*x - 14/11*x**4 + 38/11*x**3.
2*(x - 2)**2*(x - 1)**3/11
Let s = 32 + -24. Determine o, given that -s*o + 19 - 6*o**3 - o**4 - 23 - 8*o - 13*o**2 + 4*o = 0.
-2, -1
Let a(p) = -3*p**2 - 12*p + 30. Let o(h) = 3*h**2 + 12*h - 31. Let n(l) = 5*a(l) + 6*o(l). Factor n(g).
3*(g - 2)*(g + 6)
Let y = -17/84 + 2/7. Let g(c) be the first derivative of 1/4*c**2 + 1 - 1/4*c - y*c**3. Find x, given that g(x) = 0.
1
Let y(i) be the second derivative of 1/2*i**3 + 0*i**5 + 1/2*i**4 - 1/14*i**7 - 1/5*i**6 + 0*i**2 + 0 - 6*i. Find v such that y(v) = 0.
-1, 0, 1
Let z(l) be the first derivative of l**4/4 + 2*l**3/3 - 2*l**2 - 1. Let d be z(-3). Factor -1 + 2 + d*y - y**2 - y**3 - 2*y.
-(y - 1)*(y + 1)**2
Let d(r) be the first derivative of r**3/15 - r**2/5 - 10. Suppose d(y) = 0. Calculate y.
0, 2
Let b(j) be the second derivative of j**7/252 - j**6/90 - j**5/60 + j**4/9 - 7*j**3/36 + j**2/6 + 6*j. Find k such that b(k) = 0.
-2, 1
Suppose 0 - 18/5*z**3 - 24/5*z**2 + 14/5*z**4 + 8/5*z = 0. Calculate z.
-1, 0, 2/7, 2
Let j = 4631/5 - 926. Solve 3/5*d - 4/5*d**2 + j = 0.
-1/4, 1
Factor j + j + 3*j**2 + j - 6*j.
3*j*(j - 1)
Let p(s) be the second derivative of s**5/70 - s**4/14 + s**3/7 - s**2/7 + 16*s. Find x, given that p(x) = 0.
1
Suppose -2*x = -0*x - 4. Determine y so that 1 + x - 2*y**3 + y**4 - 3 = 0.
0, 2
Let h = -6 + 8. Suppose 2*t = -h*t + 12. Find q such that -4*q**t + q**2 + 2*q**5 + 4*q + 3*q**2 - 2 - 2*q**4 - 2*q = 0.
-1, 1
Factor -2*b**2 - 13*b**5 + 0*b**3 + 12*b**5 + 3*b**2 - b**4 + b**3.
-b**2*(b - 1)*(b + 1)**2
Suppose 99*y - 97*y = 4. Let s(v) be the first derivative of 8/9*v**3 + 1/6*v**4 - 3 + 4/3*v + 5/3*v**y. Solve s(l) = 0 for l.
-2, -1
Let k(a) be the second derivative of 0 + 0*a**2 - 3*a - 8/3*a**4 + 8/3*a**3 - 19/5*a**5 - 14/15*a**6. Factor k(z).
-4*z*(z + 1)*(z + 2)*(7*z - 2)
Let c(p) = -4 + 4 + 14*p - 13*p. Let g be c(4). Factor -7*t - 6*t**2 + t + 2*t - g - 10*t.
-2*(t + 2)*(3*t + 1)
Let v(d) be the third derivative of d**6/24 - d**5/6 + 5*d**4/24 + 6*d**2 - 4. Factor v(c).
5*c*(c - 1)**2
Factor 0 + 0*h**3 - h**4 + 1/2*h**5 - 1/2*h + h**2.
h*(h - 1)**3*(h + 1)/2
Factor -1 + 2/3*z + 1/3*z**2.
(z - 1)*(z + 3)/3
Let q(b) = 3*b**4 - b**3 - 7*b**2 + 15*b + 4. Let m(g) = -2*g**4 + 2*g**3 + 6*g**2 - 14*g - 4. Let j(t) = -7*m(t) - 6*q(t). Factor j(l).
-4*(l - 1)*(l + 1)**3
Let y(v) be the first derivative of 2 + 1/6*v**3 - 1/2*v + 0*v**2. Factor y(u).
(u - 1)*(u + 1)/2
Let x(u) be the third derivative of u**8/6720 - u**7/1120 + u**6/480 - u**5/480 + u**3/3 + u**2. Let z(g) be the first derivative of x(g). Solve z(o) = 0 for o.
0, 1
Let t = -608/5 - -128. Suppose 0*u - t*u**3 + 0 + 14/5*u**4 + 8/5*u**2 = 0. What is u?
0, 2/7, 2
Let c(r) be the third derivative of -3*r**2 + 0 + 0*r + 1/20*r**5 - 1/40*r**6 - 1/2*r**3 + 1/8*r**4. What is t in c(t) = 0?
-1, 1
Let a(q) be the second derivative of -q**5/4 - 5*q**4/12 - 5*q. Suppose a(g) = 0. Calculate g.
-1, 0
Let m(y) be the second derivative of 0 + 1/10*y**6 + 0*y**3 + 0*y**2 + 2*y - 1/4*y**4 + 0*y**5. Factor m(h).
3*h**2*(h - 1)*(h + 1)
Suppose 0 = 2*c, c = -5*o + 18 - 3. Suppose -8 = -2*x - 0*x - 5*l, l - 12 = -o*x. Factor 2*w**x - w**2 + w**2 + 2*w**3.
2*w**3*(w + 1)
Let i be 2/(-204)*(-3392)/(-156). Let p = 2/221 - i. Factor 2/9*b**3 - p + 2/9*b**2 - 2/9*b.
2*(b - 1)*(b + 1)**2/9
Let u = 5 + -1. Let b = 8 - 5. Solve -2*c - 9*c**2 - u*c**b + 0 + 0 = 0 for c.
-2, -1/4, 0
Let k(w) = -w**4 + w**3 + w**2 - w + 1. Let q(d) = -9*d**4 - 3*d**3 + 6*d**2 + 6*d + 6. Let b(o) = -6*k(o) + q(o). Suppose b(x) = 0. Calculate x.
-2, 0, 1
Let t(s) = -s**4 - s**3 - s**2 - s + 1. Let a(i) = 2*i**4 + 11*i**3 + 2*i**2 + 5*i - 5. Let q(m) = -a(m) - 5*t(m). Factor q(c).
3*c**2*(c - 1)**2
Let g = 20 - 18. Find a such that -6/5*a**g + 0 + 4/5*a = 0.
0, 2/3
Suppose s - 32 = -3*s. Factor -3*k - 3*k**4 + 1 + k**5 + k**2 + k**2 + s*k**3 - 6*k**3.
(k - 1)**4*(k + 1)
Solve 0*k + 2*k**3 + k - 4*k**4 - 3*k + 3*k**4 + 1 = 0.
-1, 1
Let y = -118/11 + 376/33. Factor 0 + 4/3*b**2 + 0*b + y*b**3 - 2*b**4.
-2*b**2*(b - 1)*(3*b + 2)/3
Let z(g) be the first derivative of g**5/6 + g**4/3 + g**3/18 - g**2/6 + 5. Factor z(n).
n*(n + 1)**2*(5*n - 2)/6
Factor 5*m - 1/2*m**2 - 25/2.
-(m - 5)**2/2
Factor 40*u + 5*u**4 - 16 - 33*u**3 - 7*u**3 - 31*u**2 - 64 + 106*u**2.
5*(u - 4)**2*(u - 1)*(u + 1)
Suppose -12 = -15*g + 11*g. Let k(t) be the second derivative of -1/5*t**5 + 2/3*t**g + 1/30*t**6 - 2*t**2 + t + 0 + 1/4*t**4. Factor k(a).
(a - 2)**2*(a - 1)*(a + 1)
Suppose -4*v + 6 - 26 = -4*i, -2*i + v = -7. Let l(x) be the first derivative of -2 + 1/3*x**3 + 0*x**i - x. Factor l(a).
(a - 1)*(a + 1)
Factor -755*l + 2*l**3 + 755*l - 2*l**2.
2*l**2*(l - 1)
Factor -36*z**2 - 4*z + 13*z**2 + 21*z**2.
-2*z*(z + 2)
Let z(x) be the third derivative of x**7/840 - x**6/540 - x**5/360 + 2*x**3/3 + 8*x**2. Let f(y) be the first derivative of z(y). Factor f(l).
l*(l - 1)*(3*l + 1)/3
Let h(x) be the second derivative of x**8/2520 + x**7/630 + x**6/540 - 5*x**3/6 + 2*x. Let f(j) be the second derivative of h(j). Suppose f(m) = 0. What is m?
-1, 0
Let h be -3 - (198/14)/(-3). Suppose 15/7*y - 6/7 - h*y**2 + 3/7*y**3 = 0. Calculate y.
1, 2
Let s(z) be the first derivative of -2*z**3/27 + z**2/9 + 4*z/9 + 4. Determine r, given that s(r) = 0.
-1, 2
Factor 0 - 4/5*m - 4/5*m**2 + 4/5*m**3 + 4/5*m**4.
4*m*(m - 1)*(m + 1)**2/5
Let o(w) be the third derivative of 0*w + 0 + 0*w**3 + 1/30*w**6 + 3*w**2 + 1/6*w**4 + 2/15*w**5. What is k in o(k) = 0?
-1, 0
Let n(v) be the third derivative of v**7/280 + v**6/120 - v**3/3 + 3*v**2. Let 