ivative of 2/3*l**j - l**2 + 0 - 1/6*l**4 + l. Factor f(u).
-2*(u - 1)**2
Let j = 41 + 7. Let b be j/(-54)*6/(-8). Factor -4/3 + 2*y**2 + b*y.
2*(y + 1)*(3*y - 2)/3
Let f(i) = i**3 + 14*i**2 + 9*i - 4. Let n(u) = -10*u**3 - 155*u**2 - 100*u + 45. Let g(d) = 45*f(d) + 4*n(d). Suppose g(j) = 0. Calculate j.
-1, 0
Let w(p) = -p**2 + 5*p - 3. Let n be w(3). Let h(t) be the first derivative of -3 + 0*t - 2/21*t**n + 2/7*t**2. Factor h(l).
-2*l*(l - 2)/7
Let p(w) = 6*w**3 - 36*w**2 + 108*w - 108. Let c(a) = a**3. Let z(y) = -2*c(y) + p(y). Factor z(j).
4*(j - 3)**3
Let g(z) be the third derivative of -z**8/1344 - z**7/840 + z**6/240 - 6*z**2. Factor g(w).
-w**3*(w - 1)*(w + 2)/4
Let n be ((-19)/(-171))/((-1)/(-6)*1). Let v(s) be the second derivative of 1/6*s**4 + 0*s**3 + n*s**6 + 3/14*s**7 + 0 + 0*s**2 + 13/20*s**5 + 3*s. Factor v(l).
l**2*(l + 1)**2*(9*l + 2)
Let j(k) be the second derivative of 5*k**7/252 + 5*k**6/36 + 3*k**5/8 + 35*k**4/72 + 5*k**3/18 - 11*k. Factor j(n).
5*n*(n + 1)**3*(n + 2)/6
Let m(f) be the second derivative of 5*f**4/72 + 5*f**3/12 + 5*f**2/6 + 9*f. Factor m(z).
5*(z + 1)*(z + 2)/6
Let x(s) be the third derivative of s**9/7560 + s**8/3360 - s**7/1260 - s**6/360 + s**4/12 + s**2. Let d(q) be the second derivative of x(q). Factor d(o).
2*o*(o - 1)*(o + 1)**2
Let j(c) be the first derivative of 0*c**4 - 2/9*c**3 - 3 + 1/3*c + 1/15*c**5 + 0*c**2. Factor j(y).
(y - 1)**2*(y + 1)**2/3
Let x(h) = -11*h**3 - h**2 + 17*h + 5. Let y(r) = 5*r**3 + r**2 - 8*r - 2. Let z(v) = -2*x(v) - 5*y(v). Solve z(k) = 0 for k.
-2, 0, 1
Let i = 16 - 14. Solve -4*j**5 - 12*j**3 + 2*j**5 - 8*j**i - 2*j + j**4 - 9*j**4 = 0 for j.
-1, 0
Let l = 102 + -407/4. Factor 1/4*g + 0 + l*g**2.
g*(g + 1)/4
Let v(k) be the second derivative of k**7/1260 - k**6/720 - k**5/360 + k**4/144 - k**2 + 2*k. Let w(u) be the first derivative of v(u). Factor w(r).
r*(r - 1)**2*(r + 1)/6
Let f(u) be the first derivative of -u**5/300 + u**3/30 + 2*u**2 - 3. Let d(m) be the second derivative of f(m). Let d(s) = 0. Calculate s.
-1, 1
Let l(d) = -d**4 - d**3 - d**2. Let j(u) = -u**5 + 6*u**4 + 3*u**3 + 4*u**2. Let i = -8 - -4. Let c(z) = i*l(z) - j(z). Factor c(r).
r**3*(r - 1)**2
Let p be 12/2*(-2)/(-710). Let j = p - -3508/2485. Factor -6/7*k**3 + 0 - 4/7*k - j*k**2.
-2*k*(k + 1)*(3*k + 2)/7
Suppose -4*w - 18 = 14. Let y = w + 18. Let f(z) = z**2 + 5*z - 6. Let c(d) = d - 1. Let m(o) = y*c(o) - 2*f(o). Find q such that m(q) = 0.
-1, 1
Find p, given that -3249/2*p + 20577/2 + 171/2*p**2 - 3/2*p**3 = 0.
19
Let r(n) be the third derivative of 8*n**7/735 + 5*n**6/42 + 18*n**5/35 + 22*n**4/21 + 16*n**3/21 - 23*n**2. Solve r(s) = 0 for s.
-2, -1/4
Let c(d) be the first derivative of 2*d**3/9 + 4*d**2/3 + 7. Let c(z) = 0. What is z?
-4, 0
Let p(i) = -i**3 + 4*i**2 + 2*i - 1. Let r be p(4). Determine c so that 7 - 16 + 3 - 23*c - r*c**2 = 0.
-3, -2/7
Factor 2 - 2*v**2 + 12 + 2*v + 0*v**2 - 10.
-2*(v - 2)*(v + 1)
Suppose -4*i + p - 12 = -8*i, 2*i = -2*p + 6. Suppose 0 + 66/5*l**i + 44/5*l**4 + 8*l**2 + 8/5*l + 2*l**5 = 0. Calculate l.
-2, -1, -2/5, 0
Let l(h) be the third derivative of -1/40*h**6 + 0*h**3 + 1/24*h**4 - 1/105*h**7 + h**2 + 0*h**5 + 0*h + 0. Factor l(d).
-d*(d + 1)**2*(2*d - 1)
Suppose -6*o + 12 = -4*o. Let n(p) be the second derivative of 2*p + 1/30*p**o + 1/2*p**2 + 0 - 1/6*p**3 - 1/42*p**7 + 1/10*p**5 - 1/6*p**4. Factor n(k).
-(k - 1)**3*(k + 1)**2
Let -3*c + 3*c**3 + 0 - 11*c**2 + 9*c**2 + 2 + 0*c**2 = 0. Calculate c.
-1, 2/3, 1
Let z = 582/2959 + -4/269. Determine i, given that -18/11 + 4/11*i**2 - 30/11*i + 28/11*i**3 + z*i**5 + 14/11*i**4 = 0.
-3, -1, 1
Let i(q) be the second derivative of q**7/63 - q**5/10 - q**4/9 + q. Let i(f) = 0. What is f?
-1, 0, 2
Let b(d) = -4*d**4 + 5*d**3 + 3*d**2 - 5*d - 3. Let t = 3 + -7. Let w(v) = 4*v**4 - 5*v**3 - 3*v**2 + 5*v + 4. Let u(z) = t*w(z) - 5*b(z). Factor u(f).
(f - 1)**2*(f + 1)*(4*f - 1)
Suppose -d + 2 = -1. Suppose -2*r + d*c + 13 = -3, 5*c + 26 = 3*r. Factor 3*q**4 + 10*q**3 + 0 + 14*q - 4 - 18*q**r - 5*q**4.
-2*(q - 2)*(q - 1)**3
Let v(o) = o**3 + o**2 - o - 1. Let k(g) = 5*g**3 - 10*g**2 + 13*g - 8. Let j(u) = k(u) - 2*v(u). Factor j(h).
3*(h - 2)*(h - 1)**2
Let u be 90/(-120) - 26/(-24). Factor 0 - u*j**3 + 0*j + 1/3*j**2.
-j**2*(j - 1)/3
Let u = 163 - 325/2. Find h, given that 1/4 + u*h + 1/4*h**2 = 0.
-1
Let k(o) be the first derivative of -o**6/18 - o**5/15 + 7*o**4/12 + o**3/9 - o**2 + 34. Determine j, given that k(j) = 0.
-3, -1, 0, 1, 2
Let w(v) be the second derivative of v**6/10 - 3*v**5/5 + v**4 + 18*v. Let w(o) = 0. Calculate o.
0, 2
Find t such that -4/5*t**4 + 4/5*t**2 - 8/5*t**3 + 0 + 2/5*t + 6/5*t**5 = 0.
-1, -1/3, 0, 1
Let w(q) = -q**2 - 11*q - 24. Let r be w(-6). Let o(t) be the second derivative of 7/10*t**5 - 3*t - 2/5*t**r - 1/3*t**4 + 0 + 0*t**2 + 0*t**3. Factor o(f).
-2*f**2*(2*f - 1)*(3*f - 2)
Let p(k) be the second derivative of -5/18*k**4 + 1/9*k**6 + 0*k**2 - 3/10*k**5 + 2/9*k**3 + 0 + k + 1/9*k**7. Find t, given that p(t) = 0.
-1, 0, 2/7, 1
Let i(x) = -x**3 - x - 1. Let h(r) = -3*r**3 - 17*r**2 - 4*r + 2. Let t(q) = -h(q) - 2*i(q). Factor t(j).
j*(j + 3)*(5*j + 2)
Suppose 3/5*k - 1/5*k**2 + 0 = 0. What is k?
0, 3
Let a(c) be the third derivative of -c**8/84 + c**7/21 - c**5/6 + c**4/6 + 10*c**2. Determine t so that a(t) = 0.
-1, 0, 1/2, 1, 2
Let x(f) be the first derivative of 3 + 3/11*f**2 - 4/11*f - 2/33*f**3. Determine z so that x(z) = 0.
1, 2
Let a(q) be the second derivative of -q**4/3 - 4*q**3/3 + 16*q. Factor a(i).
-4*i*(i + 2)
Suppose 0 + 12 = 3*r. Solve -b**3 + 1/2*b + 1/2*b**5 + 1/2 - b**2 + 1/2*b**r = 0.
-1, 1
Factor 1/4*h + 1/4*h**4 - 3/4*h**2 - 1/4*h**3 + 1/2.
(h - 2)*(h - 1)*(h + 1)**2/4
Let a(t) = t**3 - t**2 + 2*t + 2. Let g be a(0). Factor 16*m**2 + 0 + 45/2*m**3 + g*m - 81/2*m**4.
-m*(m - 1)*(9*m + 2)**2/2
Let t(x) be the third derivative of -x**5/45 + x**4/72 + 10*x**2. Let t(l) = 0. Calculate l.
0, 1/4
Let 0*t + 3/4*t**4 + 3/2*t**3 + 0 + 0*t**2 = 0. Calculate t.
-2, 0
Factor 18*l - 12 - 3/4*l**4 - 9/2*l**3 - 3/4*l**2.
-3*(l - 1)**2*(l + 4)**2/4
Let p = -64043/5 - -12759. Let i = p + 50. Let 0 - 2/5*o + i*o**2 = 0. What is o?
0, 1
Let m be -90*((-2)/(-6) - 1). Factor m*y**2 - 34*y**3 - 9*y**3 - 7*y**3 + 72*y + 16.
-2*(y - 2)*(5*y + 2)**2
Let w be 4/((-8)/(-34)) + -1. Determine f, given that f + 6 - w*f**2 + 10*f**2 - 15*f**3 + 14*f = 0.
-1, -2/5, 1
Let k = -1981 - -1985. Let h be ((-2)/5)/((-8)/15). Solve 0 + 1/4*z + h*z**3 - 3/4*z**2 - 1/4*z**k = 0.
0, 1
Let p(i) be the first derivative of -i**6/6 - 3*i**5/5 + i**4/4 + i**3 + 38. Suppose p(y) = 0. Calculate y.
-3, -1, 0, 1
Let x(h) be the second derivative of 2*h**6/15 + h**5/3 - 7*h**4/6 - 4*h**3/3 + 4*h**2 - 5*h. Let j(l) be the first derivative of x(l). Factor j(m).
4*(m - 1)*(m + 2)*(4*m + 1)
Factor -19*x**2 - 17*x**2 + 8*x + 38*x**2.
2*x*(x + 4)
Let v(m) be the first derivative of -m**4/8 + m**2/4 - 9. Factor v(h).
-h*(h - 1)*(h + 1)/2
Factor 3*s**3 + 0*s**3 - 12*s**2 - 57*s + 57*s.
3*s**2*(s - 4)
Suppose -3*j + 20 = 2*j. Let v = j + -4. Factor t**4 + v*t + 0 + 1/2*t**5 + 0*t**2 + 1/2*t**3.
t**3*(t + 1)**2/2
Let s(o) be the third derivative of -o**4/24 + o**3/2 - 3*o**2. Let c be s(0). Factor -i + 2*i**2 + 1 + 3*i**c - 3*i**2 - 2*i**3.
(i - 1)**2*(i + 1)
Let k(s) = 14*s - 14. Let w(h) = -h**2 + h. Let b(i) = -k(i) - 2*w(i). Factor b(q).
2*(q - 7)*(q - 1)
Let b(v) be the second derivative of -3*v - 19/30*v**5 + 2/3*v**2 + 0 - 5/6*v**4 - 7/45*v**6 - 1/9*v**3. Factor b(l).
-2*(l + 1)**3*(7*l - 2)/3
Factor a + 1/4*a**2 - a**3 - 1/4.
-(a - 1)*(a + 1)*(4*a - 1)/4
Solve -2*i - 6*i + 8*i**3 + 3 + 4*i**4 - 7 = 0 for i.
-1, 1
Let a = -693/4 + 6241/36. Factor 0 - 1/9*c + a*c**2.
c*(c - 1)/9
Let o be (2 - 2)/(3 + -2). Factor 0*z + 4/5*z**2 + o + 14/5*z**4 + 18/5*z**3.
2*z**2*(z + 1)*(7*z + 2)/5
Let h = 1453/3 - 484. Let 4/3*u**3 - u**2 - 4/3*u - h*u**4 + 4/3 = 0. What is u?
-1, 1, 2
Let w = -4 + 6. Factor 8 + 0 + 8*t + 0*t + w*t**2.
2*(t + 2)**2
Suppose 0 = 3*t + 4*w, -5*t + 3*w + 35 - 6 = 0. Let z(y) be the first derivative of 0*y**t + 1/2*y - 1/3*y**3 + 1 + 1/10*y**5 + 0*y**2. Factor z(i).
(i - 1)**2*(i + 1)**2/2
Solve -2/7*y**2 - 6/7 + 8/7*y = 0.
1, 3
Let k(u) be the first derivative of 2*u**3/39 - u**2/13 + 6. Factor