**4 - 3*a**3 + 2*a**3 - a**s - 3*a**4.
-a**3*(a - 1)**2
Let v(b) be the third derivative of -b**7/2520 - b**6/270 + b**5/360 + b**4/18 - 7*b**3/6 - 8*b**2. Let h(a) be the first derivative of v(a). Factor h(u).
-(u - 1)*(u + 1)*(u + 4)/3
Let g(h) = -h + 6. Let y be g(0). Factor -25 - y*d - 6*d + 21 - 9*d**2.
-(3*d + 2)**2
Let h(m) = 12*m**5 + 12*m**4 - 36*m**3 - 81*m**2 - 24*m. Let o(w) = -3*w**5 - 3*w**4 + 9*w**3 + 20*w**2 + 6*w. Let f(v) = 5*h(v) + 21*o(v). Factor f(j).
-3*j*(j - 2)*(j + 1)**3
Suppose 0 = -3*z + 2*z - 6. Let o be (-188)/(-12) + z/2. Suppose 1/3*s**5 - 8/3*s**4 + 25/3*s**3 + 28/3*s - o*s**2 - 8/3 = 0. Calculate s.
1, 2
Let g(z) be the first derivative of 0*z - z**3 + 3 + z**2 + 1/5*z**5 + 0*z**4. Factor g(x).
x*(x - 1)**2*(x + 2)
Let i(j) = -j**3 - 3*j**2 + j. Let t be i(-2). Let s = t + 7. Factor s + 6*z**5 - 2*z - 8*z**5 - 3 + 4*z**2 + 4*z**3 - 2*z**4.
-2*(z - 1)**2*(z + 1)**3
Let y(h) = 7*h**2 - 2*h - 18. Let b(p) = -p**2 + 2. Let u(n) = 3*b(n) + y(n). Solve u(m) = 0.
-3/2, 2
Let w be ((-27)/(-12) - 3) + (-15)/(-20). Factor 0 + w*i - 2/3*i**4 + 0*i**2 - 4/3*i**3 + 2/3*i**5.
2*i**3*(i - 2)*(i + 1)/3
Let s(w) be the first derivative of -w**5 - 13*w**4/4 - 3*w**3 + w**2/2 + 2*w - 33. Let s(o) = 0. Calculate o.
-1, 2/5
Let y(x) be the third derivative of -x**5/4 + 7*x**4/8 - x**3 + 3*x**2. Determine n so that y(n) = 0.
2/5, 1
Let f = 4 - -1. Factor 10*o**f - 8*o + 12*o - 34*o**4 - 30*o**3 - 27*o**2 + 72*o**3 + 5*o**2.
2*o*(o - 1)**3*(5*o - 2)
Factor 15*h**2 - 6*h**3 - 3*h**3 - 3*h**3 - 3*h + 0*h**3.
-3*h*(h - 1)*(4*h - 1)
Find p, given that -3/7*p**3 + 0*p**2 + 6/7 + 9/7*p = 0.
-1, 2
Let v(t) = -2*t**3 + 3*t**2 + 2*t - 3. Let z(r) = -r**3 + r**2 + r - 1. Let i(x) = -2*v(x) + 6*z(x). Suppose i(g) = 0. Calculate g.
-1, 0, 1
Let t(f) be the first derivative of f**5/10 + 29*f**4/24 + 5*f**3 + 8*f**2 + 16*f/3 - 14. Factor t(b).
(b + 1)*(b + 4)**2*(3*b + 2)/6
Let p = 14 + -5. Factor 7*h**2 + 7*h**2 - 3 - 9*h - 20*h**2 + 6*h**3 + p*h**4 + 3*h**5.
3*(h - 1)*(h + 1)**4
Let p(j) = -2*j**2 - 5*j - 11. Let h(l) = l**2 - 4*l + 3. Let a be h(4). Suppose 0 = k + 4 - a. Let q(t) = -t + 1. Let c(b) = k*p(b) - 3*q(b). Factor c(r).
2*(r + 2)**2
Let l be -6 + 81/15 - 124/(-140). Solve -32/7 - 16/7*n - l*n**2 = 0 for n.
-4
Let i(o) = -2*o**2 + 25*o - 5. Let j(z) = z**2 - z. Let a(p) = -i(p) - 6*j(p). Factor a(s).
-(s + 5)*(4*s - 1)
Let k(s) be the first derivative of s**6/3 + 6*s**5/5 + s**4/2 - 2*s**3 - 2*s**2 - 51. Factor k(n).
2*n*(n - 1)*(n + 1)**2*(n + 2)
Factor -8*l**4 - 13*l**3 - l**3 - 5*l**2 + 2*l + l**2.
-2*l*(l + 1)**2*(4*l - 1)
Let a(g) = -23*g**2 + 211*g + 64. Let p(w) = -11*w**2 + 105*w + 32. Let s(v) = -3*a(v) + 5*p(v). Factor s(x).
2*(x - 8)*(7*x + 2)
Let c(w) be the first derivative of 2*w**5/13 + 17*w**4/26 + 4*w**3/13 - 20*w**2/13 - 16*w/13 + 10. Suppose c(u) = 0. Calculate u.
-2, -2/5, 1
Let m(f) be the second derivative of -f**4/54 - 2*f**3/27 + 5*f. Let m(p) = 0. What is p?
-2, 0
Let h(w) be the third derivative of w**6/24 - 5*w**5/12 + 5*w**4/3 - 10*w**3/3 + 7*w**2. Factor h(b).
5*(b - 2)**2*(b - 1)
What is c in -1/4*c**3 + 0*c - 1/4*c**5 + 0*c**2 + 1/2*c**4 + 0 = 0?
0, 1
Suppose 4*u - 2*g = 10, -7 = -3*u + 2*g - 0*g. Solve -x - x**4 + 0*x**4 + 1 + 2*x**u + x - 2*x = 0.
-1, 1
Let v be ((-72)/(-32) + -3)*32/(-9). Let w(s) be the first derivative of -8/3*s**2 - 1/6*s**4 + 1 - v*s - 10/9*s**3. Solve w(l) = 0.
-2, -1
Let b = 119/689 + -1/53. Solve -4/13 + 2/13*f + b*f**2 = 0 for f.
-2, 1
Suppose -2 = 2*z + 2*n, 3*z = 11*n - 10*n + 9. Solve 16/11*w + 2/11*w**z + 32/11 = 0.
-4
Let f(s) be the first derivative of -s**5 + 5*s**4/4 + 5*s**3/3 - 5*s**2/2 + 22. Factor f(c).
-5*c*(c - 1)**2*(c + 1)
Let j(p) = -4*p - 32. Let c be j(-8). Let o(i) be the third derivative of c + 0*i**3 + 1/120*i**6 + 0*i - 2*i**2 + 1/60*i**5 + 0*i**4. Solve o(x) = 0 for x.
-1, 0
Let y = -4171/7 + 597. Factor -y*r**4 + 0 + 0*r + 2/7*r**2 + 6/7*r**3.
-2*r**2*(r - 1)*(4*r + 1)/7
Let q(c) be the second derivative of -c**8/26880 - c**4/3 + 4*c. Let x(o) be the third derivative of q(o). Factor x(l).
-l**3/4
Let g(i) be the third derivative of -i**8/1008 - i**7/315 + 7*i**6/360 - i**5/45 + 53*i**2. Let g(u) = 0. Calculate u.
-4, 0, 1
Let v be (-3)/(-12) - (-4)/48. Let i(w) be the first derivative of 0*w + 4/9*w**3 + 1/2*w**4 + 2 - v*w**2. Factor i(u).
2*u*(u + 1)*(3*u - 1)/3
Let q(j) be the first derivative of -j**6/36 + j**4/24 - 10. Determine c so that q(c) = 0.
-1, 0, 1
Let b = -15007/56 - -268. Let f(n) be the third derivative of -1/105*n**7 + 0 - b*n**8 + n**2 + 0*n**3 + 0*n**5 + 0*n**6 + 0*n**4 + 0*n. Solve f(g) = 0.
-1/3, 0
Let f(y) = y**2 - y + 2. Suppose -7*b = -2*b. Let n be f(b). Suppose 2*x**n - 3*x + 5*x**2 + 2 - 6*x**2 = 0. What is x?
1, 2
Factor -1/4*s**4 + 3/4*s**2 + 1/4*s - 1/2 - 1/4*s**3.
-(s - 1)**2*(s + 1)*(s + 2)/4
Suppose w + 23 = 26. Let q(h) be the second derivative of -8/27*h**4 + 0 - 2*h + 1/6*h**5 + 2/9*h**2 - 4/135*h**6 + 1/9*h**w. Determine v, given that q(v) = 0.
-1/4, 1, 2
Let -61*a**2 + 61*a**2 - 5*a**3 + 5*a = 0. Calculate a.
-1, 0, 1
Let l(k) be the first derivative of 0*k + 0*k**3 - 3/4*k**4 - 6 + 3/2*k**2. Find d, given that l(d) = 0.
-1, 0, 1
What is i in 4/3*i**2 - 14/3*i + 8/3 + 2/3*i**3 = 0?
-4, 1
Let d(f) = f**2 + f. Let p(i) = -6*i - 8. Let x(h) = -2*d(h) + p(h). Find c such that x(c) = 0.
-2
Find a, given that 13/6*a**2 - 5/3*a + 4*a**3 + 1/6 = 0.
-1, 1/8, 1/3
Let d(p) be the third derivative of 0*p + 6*p**2 - 1/168*p**8 + 2/105*p**7 + 0*p**3 + 0*p**5 + 0*p**4 + 0 - 1/60*p**6. Find a such that d(a) = 0.
0, 1
Let g(h) = 100*h**2 - 120*h + 40. Let u(k) = -100*k**2 + 120*k - 41. Let q(m) = -5*g(m) - 4*u(m). Factor q(s).
-4*(5*s - 3)**2
Let y(l) be the second derivative of 0*l**2 + 1/18*l**3 - 1/18*l**4 + 0 + 2/45*l**6 + 2/63*l**7 - 2*l - 1/20*l**5. Let y(z) = 0. What is z?
-1, 0, 1/2
Let y(h) be the third derivative of 0*h + 1/20*h**6 + 0*h**4 - 1/70*h**7 + 0*h**3 + 2*h**2 + 0 - 1/20*h**5. Factor y(i).
-3*i**2*(i - 1)**2
Let q = -146/3 - -49. Factor q - 1/3*f**2 - 1/3*f**3 + 1/3*f.
-(f - 1)*(f + 1)**2/3
Determine b so that -1/3*b**5 - 4/3 - 7/3*b**4 - 16/3*b - 19/3*b**3 - 25/3*b**2 = 0.
-2, -1
Factor 3/7*b + 0 - 3/7*b**2.
-3*b*(b - 1)/7
Determine m, given that -1/5*m + 4/5*m**2 - 1/5*m**5 + 4/5*m**4 + 0 - 6/5*m**3 = 0.
0, 1
Let n(k) be the first derivative of k**4/6 + 2*k**3 + 9*k**2 + 18*k - 7. Suppose n(z) = 0. Calculate z.
-3
Suppose -13 = -4*v - 1. Solve -6*m**4 + 3 - 3 - 3*m**v - 3*m**5 = 0 for m.
-1, 0
What is a in -1/4*a**2 + 1/2*a + 0 = 0?
0, 2
Let u(x) = 29*x**4 - 7*x**3 - 45*x**2 + 23*x + 7. Let r(m) = 20*m**4 - 5*m**3 - 30*m**2 + 15*m + 5. Let g(q) = -7*r(q) + 5*u(q). Let g(i) = 0. Calculate i.
-2, 0, 1
Let j be -45*(-5)/(500/8) - 2. Factor -j*i + 4/5*i**3 - 8/5 + 6/5*i**2 - 2/5*i**4.
-2*(i - 2)**2*(i + 1)**2/5
Let f be 45/10*(1 - -1). Let w be f/(-12) - (-6)/2. Find b, given that -w*b + 27/4*b**2 - 27/4*b**3 + 1/4 = 0.
1/3
Suppose -6 = 25*c - 27*c. Let h(k) be the first derivative of 0*k - 4 - 2/3*k**c - 2*k**2. Factor h(r).
-2*r*(r + 2)
Let a(k) be the first derivative of k**5/3 - k**4 + k**3 - k**2/3 - 11. Find y such that a(y) = 0.
0, 2/5, 1
Let w(s) = -9*s**3 - 9*s**2 + 4*s + 4. Let g(t) = -14*t**3 - 14*t**2 + 6*t + 6. Let i(o) = -5*g(o) + 8*w(o). Solve i(a) = 0 for a.
-1, 1
Let l be (-30)/(-4) + 3/(-6). Factor -10 + l - 15 + 12*w - 2*w**2.
-2*(w - 3)**2
Factor 0 - 2/13*u + 2/13*u**2.
2*u*(u - 1)/13
Let j(y) = y + 5. Let v be j(-5). Let q(w) be the second derivative of v - 2*w + 0*w**2 - 1/18*w**4 + 2/9*w**3. Factor q(p).
-2*p*(p - 2)/3
Let w = -151/4 + 38. Let f(q) be the first derivative of -w*q**2 + 3 + 0*q + 1/12*q**3. Determine v, given that f(v) = 0.
0, 2
Let d be (-2)/1 + (4 - 0). Let c(z) be the third derivative of -1/120*z**6 + 0 + 0*z + 1/210*z**7 + 0*z**5 - z**d + 0*z**3 + 0*z**4. Factor c(o).
o**3*(o - 1)
Let x(q) be the second derivative of q**5/60 - q**3/6 - 5*q**2/2 - 3*q. Let p(y) be the first derivative of x(y). Factor p(s).
(s - 1)*(s + 1)
Let b(n) be the third derivative of n**8/40320 + n**7/1680 + n**6/160 - n**5/30 + 2*n**2. Let f(h) be the third derivative of b(h). Solve f(a) = 0.
-3
Let v be 0/(-1 + 0) - 0. Determine a, given that -3/4*a + v + 3/4*a**3 + 0*a**2 = 0.
-1, 0, 1
Let n(