0 - 1/3*d**4. Factor l(n).
n*(n - 1)**4
Suppose 4*a = 3*t + 36 - 7, 2*t = -6. Suppose 6 = a*l + 1. Find y, given that -y**3 - l - 2*y - 10*y**3 + 5 - 16*y**2 + y**3 = 0.
-1, 2/5
Let v(u) = -7*u**2 - 3*u - 4. Let n(m) = 6*m**2 + 3*m + 3. Let c = -14 - -10. Let z(d) = c*n(d) - 3*v(d). Factor z(i).
-3*i*(i + 1)
Let l = -655 - -660. Suppose 0*w**4 + 0 + 0*w**3 + 0*w + 0*w**2 + 1/6*w**l = 0. Calculate w.
0
Let s(z) be the third derivative of -7*z**6/200 + z**5/20 + z**4/20 - 8*z**2. Find w such that s(w) = 0.
-2/7, 0, 1
Let w(u) = -u - 2. Let g be w(0). Let b = 4 + g. Factor 2/7*c**4 + 2/7*c**3 + 0 + 0*c + 0*c**b.
2*c**3*(c + 1)/7
Let y = 18 - 8. Let b = y - 10. Factor -2/7*k**2 + 0 - 2/7*k**5 - 6/7*k**3 - 6/7*k**4 + b*k.
-2*k**2*(k + 1)**3/7
Factor -3*q**3 + q**3 + 16*q**2 - 30*q + 0*q**3 - 2*q**2 + 18.
-2*(q - 3)**2*(q - 1)
Let o(g) be the first derivative of 7/5*g**5 + 0*g**2 - 9/4*g**4 + 0*g + 2/3*g**3 - 1. Solve o(p) = 0 for p.
0, 2/7, 1
Let t(d) be the third derivative of -d**10/30240 + d**8/3360 - d**6/720 + d**4/24 + 3*d**2. Let w(o) be the second derivative of t(o). Factor w(f).
-f*(f - 1)**2*(f + 1)**2
Let f(j) be the second derivative of -3*j**5/20 + j**4/2 - j**3/2 + 15*j. Factor f(x).
-3*x*(x - 1)**2
Let h(v) be the second derivative of v**6/180 - v**5/60 + 3*v. Factor h(z).
z**3*(z - 2)/6
Let f = 2 + -3. Let l be (4/6)/(f/(-6)). Suppose 10*g - l*g**2 - 10*g**3 + 8*g**2 + 0*g - 4 = 0. Calculate g.
-1, 2/5, 1
Let t(f) be the first derivative of 0*f**2 - 24/25*f**5 + 3/4*f**4 - 2 + 0*f - 1/5*f**3 + 2/5*f**6. Factor t(s).
3*s**2*(s - 1)*(2*s - 1)**2/5
Let t(g) be the third derivative of -g**6/660 + g**5/110 - g**4/44 + g**3/33 - 5*g**2. Factor t(j).
-2*(j - 1)**3/11
Let a(r) be the first derivative of -5*r**3/3 + 20*r + 2. Solve a(w) = 0.
-2, 2
Let s(t) be the second derivative of t**5/330 - t**3/33 + 4*t**2 - t. Let b(d) be the first derivative of s(d). Factor b(x).
2*(x - 1)*(x + 1)/11
Let q(v) be the third derivative of -v**8/840 + v**7/105 - v**6/36 + v**5/30 - v**3/2 - 3*v**2. Let b(h) be the first derivative of q(h). Factor b(w).
-2*w*(w - 2)*(w - 1)**2
Suppose -5 = -0*w - w. Solve -12*o**3 + 36*o**3 - 18*o**w - 9*o - 2 - 2*o**2 + 4*o**4 + 3*o**5 = 0.
-1, -2/5, -1/3, 1
Let l(j) be the first derivative of -2*j - 1/18*j**4 + 4 + 1/9*j**3 + 2/3*j**2. Let r(w) be the first derivative of l(w). Factor r(c).
-2*(c - 2)*(c + 1)/3
Let 8/3*s**4 + 8/3*s**2 + 0 - 2/3*s - 2/3*s**5 - 4*s**3 = 0. What is s?
0, 1
Suppose 0 = 6*r - 2*r. Let c be 0/(4/(-4 - r)). Find v, given that 0*v**3 + 2/3*v**5 + 0*v + c*v**4 + 0 + 0*v**2 = 0.
0
Let f be (-41)/(-82) + (-1)/2. Let p(m) be the first derivative of 2/5*m**2 - 6/25*m**5 + 2/5*m**3 - 1/15*m**6 + f*m - 1/10*m**4 - 4. Solve p(x) = 0 for x.
-2, -1, 0, 1
Suppose 5*w + 3*h - 46 = 0, -2*w - 3*h = -0*w - 22. Suppose w = -5*b + 9*b. Factor -16/3*k**3 - 50/9*k**5 - 10*k**4 + 0*k + 0 - 8/9*k**b.
-2*k**2*(k + 1)*(5*k + 2)**2/9
Let o be 6/(-10) - (-10)/(-25). Let x(m) = -6*m**4 - 2*m**3 - 2*m**2 - 6*m + 4. Let u(c) = c**4 + c**3 + c**2 + c - 1. Let i(k) = o*x(k) - 4*u(k). Factor i(z).
2*z*(z - 1)**2*(z + 1)
Suppose f - 13 = -13. Let d(a) be the second derivative of f*a**3 + 3/50*a**5 + 0 + 1/50*a**6 + 2*a + 0*a**4 + 0*a**2. Determine p so that d(p) = 0.
-2, 0
Let x(i) = i**2 + 17*i + 3. Let q be x(-17). Let d(b) = -5*b**3 + 3*b**2 + 2*b. Let k(z) = 4*z**3 - 2*z**2 - 2*z. Let o(y) = q*d(y) + 4*k(y). Factor o(c).
c*(c - 1)*(c + 2)
Suppose 0*p + 2*p - 10 = 0. Let h = p - 2. Solve 2/5 - a**h - 7/5*a + 9/5*a**2 + 1/5*a**4 = 0 for a.
1, 2
Let n be (-3 + 1)*(9 + -13). Let v be 185/60 + (-6)/n. Factor -1/3*g**4 + 5/3*g**3 + v*g - 3*g**2 - 2/3.
-(g - 2)*(g - 1)**3/3
Suppose -6 = 5*a - 3*l - 2, 5*a + 10 = 5*l. Let c(h) = h**2 - h + 1. Let t be c(a). Factor -t + k**3 + 1 + k**2.
k**2*(k + 1)
Let u(a) be the first derivative of 2*a**5/15 + 2*a**4/3 + 8*a**3/9 + 18. What is o in u(o) = 0?
-2, 0
Let w(g) be the first derivative of 3*g**6/4 + 21*g**5/10 + 2*g**4 + 2*g**3/3 - 17. Suppose w(z) = 0. Calculate z.
-1, -2/3, 0
Let k(q) be the first derivative of -2*q**3/9 - q**2/3 + 2. Factor k(u).
-2*u*(u + 1)/3
Let j(t) be the second derivative of 0*t**2 + 1/9*t**3 + 0 + 1/36*t**4 - 3*t. Determine c, given that j(c) = 0.
-2, 0
Let r(b) = -b**3 - b - 1. Let g(s) = -12*s**2 - 9*s + 3. Let w(y) = g(y) + 3*r(y). Factor w(l).
-3*l*(l + 2)**2
Let q(n) be the first derivative of 0*n + 5 - 3/4*n**4 + 3/2*n**2 + n**3 - 3/5*n**5. Factor q(r).
-3*r*(r - 1)*(r + 1)**2
Let d(b) = -11*b + 6. Let t(s) = -7*s + 4. Let w(l) = 5*d(l) - 8*t(l). Let k be w(5). What is p in -8/3*p**k + 0 - 10/3*p**2 - 2/3*p = 0?
-1, -1/4, 0
Let n(m) = -2*m**2 + 9*m - 4. Let r be n(4). Let v(g) be the third derivative of 1/120*g**6 + 5/24*g**4 + 0 - 2*g**2 + 1/3*g**3 + 1/15*g**5 + r*g. Factor v(x).
(x + 1)**2*(x + 2)
Let p(x) = x + 1. Let u be p(8). Let h be ((-2)/u)/((-4)/6). Factor 1/3*g + h*g**2 + 0.
g*(g + 1)/3
Let p(j) be the third derivative of -j**6/160 - 17*j**5/240 - 7*j**4/32 + 3*j**3/8 + 7*j**2. Find o, given that p(o) = 0.
-3, 1/3
Let p(q) be the second derivative of q**7/56 - 9*q**6/40 + 6*q**5/5 - 7*q**4/2 + 6*q**3 - 6*q**2 - 6*q. Determine n so that p(n) = 0.
1, 2
Let r(i) be the second derivative of 0 - 1/2*i**4 - 9*i**2 - 1/30*i**5 - i - 3*i**3. Suppose r(n) = 0. What is n?
-3
What is m in 1/4 + 1/8*m - 1/8*m**2 = 0?
-1, 2
Suppose 265 = -4*t - t. Let a = -262/5 - t. Factor 0*i - 1/5*i**3 - 4/5 + a*i**2.
-(i - 2)**2*(i + 1)/5
Factor 1/2*y - 1/6*y**3 + 0*y**2 + 1/3.
-(y - 2)*(y + 1)**2/6
Let v(x) be the second derivative of 0 + 0*x**2 + 1/42*x**4 + 1/21*x**3 + x. Factor v(d).
2*d*(d + 1)/7
Factor 1/2*n**4 + 1/2*n + 0 + 3/2*n**3 + 3/2*n**2.
n*(n + 1)**3/2
Let t = 2/335 + 664/1005. Let c = 11/3 - 3. Factor t*b - c*b**3 - 2/3*b**2 + 2/3.
-2*(b - 1)*(b + 1)**2/3
Let g = 6/287 - -23516/861. Let b = 46/3 + g. Determine a so that 224/3*a**3 + 2/3 + b*a**4 + 40*a**2 + 26/3*a = 0.
-1, -1/4
Suppose -7 + 5*s**2 + 8 + 14 - 20*s = 0. Calculate s.
1, 3
Let i(f) = -28*f + 32. Let s(a) = a**2 - 83*a + 97. Let o(g) = 11*i(g) - 4*s(g). Factor o(q).
-4*(q - 3)**2
Let t(z) be the third derivative of z**6/80 - z**5/5 + 3*z**4/4 + 2*z**2 - 36*z. Factor t(a).
3*a*(a - 6)*(a - 2)/2
Let g(d) be the first derivative of d**6/20 - 7*d**5/15 + 5*d**4/3 - 8*d**3/3 + 5*d**2/2 + 7. Let q(x) be the second derivative of g(x). Factor q(a).
2*(a - 2)**2*(3*a - 2)
Let q(z) be the third derivative of z**10/378000 - z**9/75600 - 7*z**5/60 - 4*z**2. Let d(v) be the third derivative of q(v). What is r in d(r) = 0?
0, 2
Let b(z) be the first derivative of -3*z**4/4 - 3*z**3 + 3*z**2/2 + 9*z - 1. Find t such that b(t) = 0.
-3, -1, 1
Let z(j) be the first derivative of j**3/3 + 2*j**2 - 20. Suppose z(t) = 0. What is t?
-4, 0
What is g in -10 + g**2 + 5*g**3 - 6*g**2 + 10 = 0?
0, 1
Factor -12/5*s**3 - 2/5*s**4 - 8/5 - 26/5*s**2 - 24/5*s.
-2*(s + 1)**2*(s + 2)**2/5
Let z(u) be the third derivative of -u**8/1848 - 2*u**7/1155 + 4*u**2. Solve z(h) = 0 for h.
-2, 0
Let q be 6*(-3)/36*-4. Let t(j) be the second derivative of 2*j + 0 + 5/12*j**3 + 1/4*j**q + 1/6*j**4. Find b such that t(b) = 0.
-1, -1/4
Let f be ((-5968)/(-70))/2 - -1. Let g = -191/5 + f. Solve 30/7*s**2 + g*s**3 + 2/7*s + 2*s**4 - 4/7 = 0.
-1, 2/7
Let q = -3 + 5. Factor -s**2 - 3 - 2 - q*s**3 + 5 - s**4.
-s**2*(s + 1)**2
Let w be 3/(0 - (-9)/12). Let l = -4 - -4. Find k such that l - 1/2*k**w + 1/2*k**3 + 0*k + 0*k**2 = 0.
0, 1
Find t, given that -15 + 12*t - 52*t**2 + 26*t**2 + 29*t**2 = 0.
-5, 1
Let c = 643/20 + -127/4. Let 2/5*u - 4/5 + c*u**2 = 0. What is u?
-2, 1
Suppose -13 = -3*q + 8. Let l(f) be the second derivative of 0*f**2 - 1/6*f**3 + 2/15*f**6 - 1/42*f**q - 2*f + 0 - 3/10*f**5 + 1/3*f**4. Factor l(u).
-u*(u - 1)**4
Let s be ((6/4)/(-1))/(45/(-20)). Let 2/3*m**3 - 2/3*m**2 + 2/3 - s*m = 0. What is m?
-1, 1
Let c = 121/4 - 30. Suppose -c + z**2 - 3/4*z = 0. What is z?
-1/4, 1
Let o = 60 - 58. Factor 2/5 + 1/5*p**o - 3/5*p.
(p - 2)*(p - 1)/5
Suppose 0 = -3*t - 2*p + 7 + 12, -p - 7 = -4*t. Factor -7*o**4 - 12*o**t - 2 - 24*o**2 + 3*o**4 - 5*o**3 - 13*o.
-(o + 1)**2*(o + 2)*(4*o + 1)
Let g(t) = 4*t**2 + t - 1. Let q be g(1). Factor -2 - 2 - 12*j**2 - 2*j**q - 4 - 8*j + 6 - 8*j**3.
-2*(j + 1)**4
Let w(f) be the third derivati