erivative of -7/132*w**4 + 7/660*w**6 + 2/33*w**3 + 0 - 5*w**2 - 1/165*w**5 + 0*w. Determine m, given that n(m) = 0.
-1, 2/7, 1
Let o(c) be the second derivative of -c**4/16 + 3*c**3/8 - 3*c**2/4 - 8*c. Factor o(g).
-3*(g - 2)*(g - 1)/4
Let z(t) be the third derivative of t**6/120 + t**5/60 + 3*t**2. Factor z(w).
w**2*(w + 1)
Let w(v) be the third derivative of v**6/120 + v**5/20 + v**4/12 + v**2. Determine k so that w(k) = 0.
-2, -1, 0
Let m(y) be the first derivative of -y**4/2 + 2*y**3 - 3*y**2 + 2*y - 9. Let m(n) = 0. Calculate n.
1
Let q = 2 - -1. Suppose -8*x**4 + 7*x**4 + x**q + 0*x**3 = 0. Calculate x.
0, 1
Let n(j) be the second derivative of 0 + 1/18*j**4 + 2*j + 1/3*j**2 + 2/9*j**3. Determine g, given that n(g) = 0.
-1
Let t(u) be the first derivative of u**3/3 + 5*u**2 + 12*u + 6. Let o be t(-9). Factor 0*b + 0 - 2/3*b**5 + 0*b**2 + 4/3*b**4 - 2/3*b**o.
-2*b**3*(b - 1)**2/3
Factor 1/7*m**2 - 1/7*m + 0.
m*(m - 1)/7
Let p(g) be the first derivative of -g**6/6 - 2*g**5/5 + 2*g**3/3 + g**2/2 - 5. Suppose p(k) = 0. What is k?
-1, 0, 1
Let h(i) be the first derivative of i**7/480 + i**6/160 + i**5/240 - 4*i**3/3 - 2. Let y(v) be the third derivative of h(v). Factor y(x).
x*(x + 1)*(7*x + 2)/4
Let r(d) = -d**3 - 7*d**2 + 9*d + 11. Let x be r(-8). Factor 0 - 1/3*h**x - 1/3*h + 2/3*h**2.
-h*(h - 1)**2/3
Let j(w) = w**3 - 1. Let v(a) = 3*a**2 - 1 + 20*a + 18*a + 3*a**3 - 35*a. Let x(y) = -6*j(y) + 3*v(y). Determine s so that x(s) = 0.
-1
Let r = -55 - -59. Factor -1/2*h + 0 - 3/2*h**3 - 1/2*h**r - 3/2*h**2.
-h*(h + 1)**3/2
Let h(o) be the second derivative of o**7/6300 - o**6/360 + o**5/75 + o**4/2 + 3*o. Let n(d) be the third derivative of h(d). Suppose n(c) = 0. What is c?
1, 4
Let x(q) be the second derivative of q**4/6 + 7*q**3/12 + 3*q**2/4 + 3*q. Factor x(d).
(d + 1)*(4*d + 3)/2
Let y be 364/18 - (-4)/(-18). Suppose 5*f - 3*p - y = 0, 0 = -2*f - 0*p + p + 8. Factor 1/3*o**f + 0 + 0*o**2 + 1/3*o**3 + 0*o.
o**3*(o + 1)/3
Suppose -3*q + 5*g = 9, -2*g = 4*q + 2*g - 20. Factor 2*f**2 - 14*f - 8 + q*f + 4 - 14*f**2 - 4*f**3.
-4*(f + 1)**3
Let d(o) be the third derivative of 0*o + 1/300*o**6 + 1/20*o**4 - 1/15*o**3 - 1/50*o**5 + 0 + o**2. Determine i, given that d(i) = 0.
1
Let c(v) be the third derivative of v**6/40 - v**5/4 + v**4 - 2*v**3 + 23*v**2. Factor c(j).
3*(j - 2)**2*(j - 1)
Let s(t) be the first derivative of -t**4/6 + t**2 + 6*t - 1. Let q(x) be the first derivative of s(x). Suppose q(j) = 0. What is j?
-1, 1
Let b(m) be the second derivative of m**4/3 + 2*m**3/3 - 4*m**2 - 32*m. Suppose b(d) = 0. Calculate d.
-2, 1
Let t(l) = l**3 - l**2 - l + 2. Let n be t(2). Factor -3*u + 0*u**2 + 3*u**3 + 0*u + 3*u**2 + 0*u**2 - 3*u**n.
-3*u*(u - 1)**2*(u + 1)
Suppose -2*r + 57 = s, 141 = -2*s + 5*s - 4*r. Let n be s/(-264) - 9/(-24). Let 2/11*a**5 + 2/11*a**4 + 0 + 0*a - n*a**2 - 2/11*a**3 = 0. What is a?
-1, 0, 1
Let g(x) be the third derivative of -x**5/210 - x**4/42 - x**3/21 + 2*x**2. Suppose g(d) = 0. Calculate d.
-1
Suppose -15 = 2*u + u. Let m = 13 + u. Solve -2*r**3 + m*r - 2*r**4 + 2*r**3 - 3*r**3 - 3*r**3 = 0.
-2, 0, 1
Let j be 12/54 + (-74)/360. Let f(u) be the third derivative of 0 + 2*u**2 - j*u**5 + 0*u**4 + 0*u - 1/120*u**6 + 0*u**3. Factor f(z).
-z**2*(z + 1)
Let h be ((-12)/(-70))/(((-16)/28)/(-4)). Factor -h*d + 2/5*d**2 + 4/5.
2*(d - 2)*(d - 1)/5
Let r(k) = -14*k**3 + 11*k**3 + 1 + k + 4*k**3. Let n(u) = -5*u**3 + u**2 - 7*u - 7. Let s(o) = -n(o) - 6*r(o). Solve s(d) = 0 for d.
-1, 1
Let v = -12 + 21. Let w be v/4 - 30/(-40). Factor -2*a**w + 0 - 1/3*a + 4/3*a**4 - 1/3*a**5 + 4/3*a**2.
-a*(a - 1)**4/3
Let r(f) = 5*f**5 + 13*f**4 + 5*f**3 + 3*f**2 - 3*f - 3. Let o(g) = 5*g**5 + 14*g**4 + 5*g**3 + 4*g**2 - 4*g - 4. Let i(u) = -3*o(u) + 4*r(u). Factor i(c).
5*c**3*(c + 1)**2
Let i(v) be the first derivative of v**4/8 + v**3/6 - 5*v**2/4 + 3*v/2 - 6. Let i(p) = 0. What is p?
-3, 1
Let c(j) be the first derivative of j**5/5 + j**4/4 - 2. Find s such that c(s) = 0.
-1, 0
Suppose 0*n - 4*n + 12 = 0. Solve -r**n - r**3 + 2*r - 6*r**4 + 6*r**2 + 0*r = 0.
-1, -1/3, 0, 1
Let f(w) = 32*w**4 - 8*w**3 - 78*w**2 - 58*w - 14. Let r(i) = i**2 - i - 1. Let s(d) = -f(d) + 6*r(d). Determine a so that s(a) = 0.
-1, -1/2, -1/4, 2
Let h(q) = 35*q**2 + 75*q. Let s(v) = v**3 + v**2 + v. Let u(f) = -h(f) - 5*s(f). Let u(n) = 0. What is n?
-4, 0
Find n, given that -5*n**2 + n**5 + 4*n**4 - n**3 - 3*n**3 - 3*n**4 + n**2 = 0.
-2, -1, 0, 2
Let n be (15 + -7)/(5*(-12)/(-10)). Suppose 0 - 2/3*a**3 - 2/3*a + n*a**2 = 0. Calculate a.
0, 1
Suppose 21 = -4*y + 33. Suppose r = -r. Factor r - 1/2*m**y + 0*m + m**4 - 1/2*m**2.
m**2*(m - 1)*(2*m + 1)/2
Let r(q) be the first derivative of 2*q**5/15 - 4*q**4/3 + 4*q**3 - 18*q - 34. Factor r(j).
2*(j - 3)**3*(j + 1)/3
Suppose -1/6*f**4 - 1/2*f**2 + 0 + 3/2*f - 5/6*f**3 = 0. What is f?
-3, 0, 1
Let f be (-2 - (-32)/14) + 572/546. Determine o, given that 0*o + f*o**2 - 2/3*o**3 + 0 = 0.
0, 2
Let y = -386915/34 - -11379. Let o = -6/17 - y. Factor 1/2*b**3 - 1 - o*b + b**2.
(b - 1)*(b + 1)*(b + 2)/2
Let b(o) be the second derivative of o**4/36 - o**3/18 - o**2/3 + 13*o. Factor b(u).
(u - 2)*(u + 1)/3
Let q(g) be the second derivative of -g**9/13608 - g**8/3780 - g**7/3780 + g**3/2 + 3*g. Let t(r) be the second derivative of q(r). Factor t(l).
-2*l**3*(l + 1)**2/9
Let d(h) = -h**3 + 5*h**2 - 6*h + 3. Let y be d(3). Factor 3/2*p - y*p**2 + 0 + 3/2*p**3.
3*p*(p - 1)**2/2
Let q(z) be the third derivative of z**7/105 - z**6/20 + z**5/15 + 22*z**2. Factor q(m).
2*m**2*(m - 2)*(m - 1)
Let r = 5 + -2. Let t be 1*(-20)/(-15)*6/4. Factor 3*l**r - 8*l**2 + 6*l**4 - l**3 + t + 2*l**3 - 4*l.
2*(l - 1)*(l + 1)**2*(3*l - 1)
Factor 0*u**3 + 0 + 0*u + 2/11*u**4 - 2/11*u**2.
2*u**2*(u - 1)*(u + 1)/11
Let p(i) be the second derivative of -i**6/120 - i**5/30 + 3*i**2/2 + 2*i. Let z(f) be the first derivative of p(f). Factor z(s).
-s**2*(s + 2)
Let i(a) be the third derivative of -a**6/180 - a**5/20 - a**4/6 + a**3/6 + 4*a**2. Let o(t) be the first derivative of i(t). Factor o(s).
-2*(s + 1)*(s + 2)
Let f = 5 + -15. Let q = f - -17. Solve 2*a**3 + 31*a - 4 + q*a**2 - 3*a**2 - 33*a = 0.
-2, -1, 1
Solve 4/5 + 2/5*v**4 + 2/5*v - 6/5*v**2 - 2/5*v**3 = 0.
-1, 1, 2
Let x(i) = -3*i**3. Let a be x(-1). Let f be (1 - 1) + 6/a. Factor -5*w**3 + f*w + 3*w**5 + w**2 - 3*w**4 + 0*w**5 + 2*w**4.
w*(w - 1)**2*(w + 1)*(3*w + 2)
Let a(j) be the third derivative of -3*j**2 + 1/360*j**6 + 0 + 1/36*j**3 + 0*j + 0*j**5 - 1/1260*j**7 - 1/72*j**4. Factor a(y).
-(y - 1)**3*(y + 1)/6
Let b(k) be the first derivative of -4/3*k**3 + 5*k**2 - 2*k + 6 + 3*k**6 - 7*k**4 + 6/5*k**5. Determine t so that b(t) = 0.
-1, 1/3, 1
Solve -24/5*z**2 - 3/5*z**4 + 0 - 3*z**3 - 12/5*z = 0 for z.
-2, -1, 0
Let b = 94 - 92. Find l such that 1/2*l**b + 0 - 1/2*l = 0.
0, 1
Let b(a) be the first derivative of -1 + 0*a**2 + 1/3*a**3 - a. Suppose b(c) = 0. Calculate c.
-1, 1
Suppose 0 = q - 5*q. Factor -36*c - 5 - 12*c**2 + 16*c**3 + q*c - 3.
4*(c - 2)*(c + 1)*(4*c + 1)
Let p(n) be the third derivative of -n**9/68040 - n**8/30240 - n**4/24 + 3*n**2. Let x(l) be the second derivative of p(l). Factor x(m).
-2*m**3*(m + 1)/9
Let h be (-8)/5 + 46/23. Find z, given that -h*z**2 + 0 - 2/5*z = 0.
-1, 0
Let q = -279 - -279. Factor 4/9*u**2 - 2/9*u**3 + q - 2/9*u.
-2*u*(u - 1)**2/9
Let q(l) be the first derivative of l**9/3024 - l**8/1680 + 2*l**3/3 - 3. Let t(w) be the third derivative of q(w). Factor t(g).
g**4*(g - 1)
Factor 3/2 + 9/4*i - 3/2*i**2 + 0*i**4 - 3*i**3 + 3/4*i**5.
3*(i - 2)*(i - 1)*(i + 1)**3/4
Let y(t) be the third derivative of t**6/30 - 3*t**5/20 - 5*t**4/12 + t**3/2 + 20*t**2. Solve y(u) = 0 for u.
-1, 1/4, 3
Let z(r) = 2*r**5 + 2*r**3 - 3*r**2 - 4*r. Let w(q) = 3*q**5 + 2*q**3 - 4*q**2 - 5*q. Let y be (-1 - 7)*(-2)/(-4). Let v(j) = y*z(j) + 3*w(j). Factor v(x).
x*(x - 1)**2*(x + 1)**2
Factor t + 23*t**2 - t**3 - 10*t**2 - 13*t**2.
-t*(t - 1)*(t + 1)
Let q be -1*((-15)/(-3) - 1). Let s be 5*(q - (-92)/20). Find p such that 0*p**s + 1/4*p**4 - 1/4*p**2 + 0 + 0*p = 0.
-1, 0, 1
Let 18/7*p - 3*p**2 + 3/7*p**3 + 0 = 0. Calculate p.
0, 1, 6
Let r(m) be the first derivative of -4/3*m**3 - 2 - 1/144*m**4 + 1/2160*m**6 + 0*m + 0*m**5 + 0*m**2. Let t(l) be the third derivative of r(