+ b**6/5 - 9*b**5/5 + 9*b**4 - 27*b**3 + 22*b**2. Factor p(o).
-2*(o - 3)**4
Let v(w) be the second derivative of -w**7/1960 - w**6/420 - w**5/280 + w**3 - 8*w. Let i(l) be the second derivative of v(l). Suppose i(f) = 0. Calculate f.
-1, 0
Let n(i) be the third derivative of -i**7/280 - i**6/30 - i**5/10 + i**3/3 - 5*i**2. Let j(d) be the first derivative of n(d). Factor j(r).
-3*r*(r + 2)**2
Let y(j) = -4*j**4 + 7*j**3 - j**2 + 3*j + 3. Let h(o) = 15*o**4 - 27*o**3 + 5*o**2 - 11*o - 11. Let q(w) = 6*h(w) + 22*y(w). Find v such that q(v) = 0.
0, 2
Let c(h) be the third derivative of h**8/240 - 37*h**7/1050 + 73*h**6/600 - 67*h**5/300 + 7*h**4/30 - 2*h**3/15 + 19*h**2. Suppose c(n) = 0. What is n?
2/7, 1, 2
Let s(g) be the second derivative of -g**5/110 + g**4/33 - g**3/33 - g. Factor s(h).
-2*h*(h - 1)**2/11
Let g(o) be the second derivative of -o**4/42 - o**3/21 + 8*o. Factor g(l).
-2*l*(l + 1)/7
Let m = 8 + -7. Let n(k) = -k**2. Let c(r) = -2*r**2 + 3*r + 6. Let x(t) = m*c(t) + n(t). Let x(d) = 0. What is d?
-1, 2
Let k(b) = 4*b**3 + 5*b**2. Let j(y) = -7*y**3 - 10*y**2. Let l(g) = -6*j(g) - 10*k(g). Find v, given that l(v) = 0.
-5, 0
Let w be 2/(-12)*76/(-20). Let m = w - 2/15. Determine f so that -m*f**2 + 0*f + 0 + 1/2*f**3 = 0.
0, 1
Let c(j) = j**2. Let l(f) = 6*f**2 + f. Let o be -5 - -3 - (-4)/1. Let r(v) = o*l(v) - 11*c(v). Solve r(b) = 0 for b.
-2, 0
Solve -1/2*c**2 + 0 + 1/2*c - 1/2*c**3 + 1/2*c**4 = 0.
-1, 0, 1
Let k(v) be the third derivative of -v**10/15120 + v**9/4320 - v**8/5040 + v**5/20 - 3*v**2. Let d(n) be the third derivative of k(n). Factor d(r).
-2*r**2*(r - 1)*(5*r - 2)
Let s(i) be the third derivative of -i**6/1620 + i**4/108 + 5*i**3/6 + 4*i**2. Let u(b) be the first derivative of s(b). Factor u(h).
-2*(h - 1)*(h + 1)/9
Solve -4*l**3 - 3 + 4*l**2 + 4 - 1 = 0.
0, 1
Let o(i) be the third derivative of -i**6/270 - i**5/90 + i**4/9 + 2*i**3/3 - 7*i**2. Let w(s) be the first derivative of o(s). Factor w(h).
-4*(h - 1)*(h + 2)/3
Suppose p + 2*p - 9 = 0. Suppose 5*o + p*i = 0, -o - 3*i = -8*i. Factor 0*c**3 - c**2 + 1/2 + 1/2*c**4 + o*c.
(c - 1)**2*(c + 1)**2/2
Let h be 3/6*2 - 2. Let q be h/(-1*2)*0. Factor -2*n + q*n - 3*n**2 + 5*n**2.
2*n*(n - 1)
Determine h, given that -15*h**4 + 27*h**5 - 2*h**4 - 3*h + 18*h**2 - 24*h**3 + 6*h**4 - 7*h**4 = 0.
-1, 0, 1/3, 1
Let w(a) be the second derivative of a**8/26880 + a**7/2520 + a**6/576 + a**5/240 - 5*a**4/12 - 2*a. Let v(z) be the third derivative of w(z). Factor v(c).
(c + 1)**2*(c + 2)/4
Let b(p) be the second derivative of p**7/840 + p**6/40 + 9*p**5/40 + 9*p**4/8 - p**3 + 10*p. Let f(l) be the second derivative of b(l). Factor f(k).
(k + 3)**3
Let x(l) = -l. Let c(u) be the third derivative of u**5/60 + 5*u**4/24 - u**3/3 + 6*u**2. Let v(r) = -c(r) - 4*x(r). Factor v(b).
-(b - 1)*(b + 2)
Let w(k) be the first derivative of 2*k**3/3 - 4*k**2 + 42. Factor w(l).
2*l*(l - 4)
Factor -136*w**3 + 28*w**4 + 12*w**5 + 11*w**2 - 20 + 40*w**2 - 4*w + 69*w**2.
4*(w - 1)**3*(w + 5)*(3*w + 1)
Let u(k) = -k**2 - 2*k + 1. Let b be (2 - 0) + -1 + 3. Let i(g) = -5*g**2 - 9*g + 5. Let s(w) = b*i(w) - 18*u(w). Let s(h) = 0. Calculate h.
-1, 1
Let p = -6 + 3. Let t = 5 + p. Find s such that -5*s + 3*s + 2*s**3 - 2*s + t*s = 0.
-1, 0, 1
Let i(a) = 19*a**2 + 12*a + 10. Let x(q) = 13*q**2 + 8*q + 7. Let h(y) = -5*i(y) + 7*x(y). Solve h(s) = 0.
-1/2
Let x(g) be the second derivative of -g**6/195 + g**5/65 + g**4/26 - 4*g**3/39 - 4*g**2/13 - 25*g. Determine t so that x(t) = 0.
-1, 2
Let t(g) be the first derivative of -1/6*g**2 - 1/9*g**3 + 1/15*g**5 + 0*g - 2 + 1/12*g**4. Find v, given that t(v) = 0.
-1, 0, 1
Suppose 5 = 2*k - 1. Let y(f) be the first derivative of 2/11*f - 2/11*f**2 - 3 + 2/33*f**k. Factor y(j).
2*(j - 1)**2/11
Let d(o) be the second derivative of -o**7/21 + 11*o**6/5 - 159*o**5/5 + 383*o**4/3 - 235*o**3 + 225*o**2 + 51*o. Suppose d(f) = 0. Calculate f.
1, 15
Let t(d) be the first derivative of -1/84*d**4 + 0*d**3 + 0*d + d**2 + 1/210*d**5 + 2. Let r(z) be the second derivative of t(z). Factor r(k).
2*k*(k - 1)/7
Let n(i) = -11*i**4 - 19*i**3 - 7*i**2 + 29*i + 13. Let s(j) = -6*j**4 - 9*j**3 - 3*j**2 + 15*j + 6. Let v(h) = 3*n(h) - 5*s(h). Let v(t) = 0. Calculate t.
-3, -1, 1
Let d(y) be the third derivative of -y**7/2520 + y**6/240 - y**5/60 + y**4/12 + 3*y**2. Let j(o) be the second derivative of d(o). Find c, given that j(c) = 0.
1, 2
Factor -16*d**2 - 4*d**3 - 2 - 6*d - 6 - 14*d + 0*d.
-4*(d + 1)**2*(d + 2)
Let t(x) = x + 1. Let l be t(-1). Suppose 2*w - 20 - 6 = l. Solve 6*j**2 - w*j**3 - 4 + 2*j**2 + 2*j + 7*j**3 = 0.
-2/3, 1
Let x(f) be the first derivative of f**6/2 + 18*f**5/5 + 39*f**4/4 + 12*f**3 + 6*f**2 - 31. Factor x(o).
3*o*(o + 1)**2*(o + 2)**2
Let d = 1 + 6. Let w(g) be the third derivative of -7/270*g**5 + 0*g + 1/60*g**6 + 0 - 1/189*g**d + 2*g**2 + 1/1512*g**8 + 1/54*g**4 + 0*g**3. Factor w(n).
2*n*(n - 2)*(n - 1)**3/9
Suppose -9*k + 6*k + 15 = 0. Let i(p) be the second derivative of p + 0*p**4 + 0 + 1/12*p**3 + 0*p**2 - 1/40*p**k. Solve i(d) = 0 for d.
-1, 0, 1
Let x(f) = 6*f**2 + 2*f - 1. Let c(r) be the third derivative of -1/12*r**4 + 0*r + 0 + 2*r**2 - 1/12*r**5 + 1/6*r**3. Let y(s) = -7*c(s) - 6*x(s). Factor y(t).
-(t - 1)**2
Let s(n) be the first derivative of -2*n**3/39 - 2*n**2/13 - 2*n/13 - 1. Suppose s(h) = 0. What is h?
-1
Let q be 2 + (-92)/24 + 3. Factor 1/2*y**3 + 1/3 + q*y + 4/3*y**2.
(y + 1)**2*(3*y + 2)/6
Let v(i) be the third derivative of -1/10*i**5 + 0*i**3 + 0*i**6 + 0*i + 1/35*i**7 + 1/8*i**4 - 3*i**2 + 0 - 1/112*i**8. Factor v(n).
-3*n*(n - 1)**3*(n + 1)
Let c be 18/20 + 13 + (-670)/50. Factor 1/2*x**3 - 1/2*x - 1/2 + c*x**2.
(x - 1)*(x + 1)**2/2
Let x(q) be the second derivative of -q**7/42 - 2*q**6/15 - 3*q**5/10 - q**4/3 - q**3/6 - 3*q. Factor x(o).
-o*(o + 1)**4
Let y(f) be the third derivative of -f**7/280 + f**6/80 + f**5/80 - f**4/16 - 4*f**2. Factor y(i).
-3*i*(i - 2)*(i - 1)*(i + 1)/4
Factor -4*r**3 - 3*r**2 - 545 + 561 - 9*r**2.
-4*(r - 1)*(r + 2)**2
Let w(u) be the second derivative of -1/57*u**4 + 0 + 0*u**2 - 4*u - 1/57*u**3. Find p, given that w(p) = 0.
-1/2, 0
Let d be 3/(-12) - (-27)/12. Find n such that -4*n**3 - 2*n**d - n**2 + n + 0*n = 0.
-1, 0, 1/4
Let i(f) be the first derivative of -32*f**6/3 + 672*f**5/25 - 17*f**4 - 64*f**3/15 + 6*f**2 - 8*f/5 - 6. What is k in i(k) = 0?
-2/5, 1/4, 1
Factor 27*k**2 - 46*k**2 + 15*k**2 - 24*k.
-4*k*(k + 6)
Let i(w) be the first derivative of w**4/16 + w**3/3 + 5*w**2/8 + w/2 - 2. Let i(z) = 0. Calculate z.
-2, -1
Let j(f) = 3*f**3 + 14*f**2 + 12*f + 6. Let x(g) = -4*g**3 - 14*g**2 - 11*g - 5. Let u(a) = -4*j(a) - 5*x(a). Factor u(c).
(c + 1)*(2*c + 1)*(4*c + 1)
Let l(j) be the second derivative of -j**5/70 + j**4/42 + 4*j**3/21 - 4*j**2/7 + 2*j. Determine h so that l(h) = 0.
-2, 1, 2
Let t be ((-10)/(-40))/(6/4 - 0). Factor 0*b + 0 - t*b**2 - 2/3*b**3.
-b**2*(4*b + 1)/6
Let s(k) be the second derivative of k**7/1260 + k**6/120 + k**5/30 + k**4/4 - 2*k. Let a(p) be the third derivative of s(p). Solve a(u) = 0 for u.
-2, -1
Let f(r) = r**3 - 2*r**2 + r. Let q(x) = -5*x**3 + 8*x**2 - 5*x. Let i(v) = 18*f(v) + 4*q(v). What is l in i(l) = 0?
-1, 0
Factor -3/4 - 1/2*u + 1/4*u**2.
(u - 3)*(u + 1)/4
Let p = -92 + 94. Factor 0*h - 1/4*h**p + 0.
-h**2/4
Let p(h) = h**2 + 1. Let d(i) = i**3 + 3*i**2 - i + 3. Let b = 8 - 5. Let t(v) = b*p(v) - d(v). Solve t(q) = 0 for q.
-1, 0, 1
Let t(u) be the second derivative of 3*u**7/14 - u**6/5 - 27*u**5/20 + 3*u**4 - 2*u**3 - 3*u - 7. Determine n so that t(n) = 0.
-2, 0, 2/3, 1
Suppose 31 = 2*c - 3*v, -2*c + 19 = -c + 2*v. Suppose 3*z = 4*z - 3*b - c, 3*z = -5*b - 19. Factor 1/2 - 4*x**3 + 6*x**z + 15/4*x.
-(x - 2)*(4*x + 1)**2/4
Let j be ((-3)/9)/((-2)/18). Suppose -6 = -6*w + j*w. Solve 4*i**2 + 5*i - 2*i**w + 4 + i = 0.
-2, -1
Factor 28*r**4 + 1 + 92*r**3 + 26*r - 10*r - 1 + 80*r**2.
4*r*(r + 1)*(r + 2)*(7*r + 2)
Let i be 4/(0 + (-6)/(-9)). Let z(x) = -6 + x**3 + i - x**2 + x. Let m(b) = 3*b**3. Let o(n) = 2*m(n) - 2*z(n). Determine c, given that o(c) = 0.
-1, 0, 1/2
Let j(s) = -15*s**2 + 3*s - 4. Let d(a) = 8*a**2 - 2*a + 2. Let p = 14 - 8. Let i(u) = p*j(u) + 11*d(u). Let i(g) = 0. What is g?
-1
Factor -8/3*t**4 - 2/3*t**5 - 4*t**3 - 2/3*t + 