 1/3*v**4 + w + 1/3*v + v**3 + v**2.
v*(v + 1)**3/3
Let a(b) be the second derivative of -1/225*b**6 + 0*b**2 + 9*b + 1/150*b**5 + 0*b**3 + 0 + 1/90*b**4 - 1/315*b**7. Determine y, given that a(y) = 0.
-1, 0, 1
Suppose -3*o - 13*o + 32 = 0. Determine p so that -2/7*p**3 + 4/7*p**o + 0 - 2/7*p = 0.
0, 1
Suppose -8*d = -9*d + 9. Find p, given that -4*p**3 - 3*p + 6*p + d*p + 3*p**4 - 5*p**3 = 0.
-1, 0, 2
Let a(u) be the first derivative of 16/21*u**3 + 4/7*u - 10/7*u**2 - 7. Let a(p) = 0. What is p?
1/4, 1
Let g(x) be the first derivative of -2/7*x - 1/3*x**3 - 9/14*x**2 + 6. Let g(v) = 0. Calculate v.
-1, -2/7
Let x(n) be the second derivative of 0 + 0*n**4 + 0*n**2 + 0*n**3 + 0*n**6 - 1/10*n**5 + 1/21*n**7 + 8*n. Suppose x(r) = 0. What is r?
-1, 0, 1
Suppose -8*w = -23 + 7. Factor -f**w - 1/3*f - f**3 - 1/3*f**4 + 0.
-f*(f + 1)**3/3
Let c(y) be the third derivative of -y**5/360 - y**4/144 + y**3/18 + 23*y**2. Factor c(z).
-(z - 1)*(z + 2)/6
Let f(n) be the second derivative of -1/20*n**5 + 0 + 3*n + 1/6*n**3 - 1/2*n**2 + 1/12*n**4. Factor f(s).
-(s - 1)**2*(s + 1)
Let y be 7/3 - 14/7. Solve -1/3 + 1/3*n**3 + y*n**2 - 1/3*n = 0.
-1, 1
Let n(w) = 4*w**2 + 2*w + 1. Let m be n(-1). Suppose 4 = 2*r, 2*g = 4*g - m*r - 4. Factor -3*q**5 - 3*q**5 + g*q**5 + q**4 + q**4 - q**3.
-q**3*(q - 1)**2
Let l = -96 + 385/4. Solve 0*m**3 - 1/2*m**2 + l + 0*m + 1/4*m**4 = 0.
-1, 1
Let k = -2 - -4. Factor -2*c**3 + 2*c**5 + 3*c**2 - 2*c**k - c**2.
2*c**3*(c - 1)*(c + 1)
Let t be 1/2 - 235/(-2). Let g = t + -350/3. Factor 2/3*x**2 + 2/3 + g*x.
2*(x + 1)**2/3
Let w(a) = 4*a**5 + 4*a**4 - 12*a**3 + 8*a**2 - 4*a. Let f(q) = -12*q**5 - 11*q**4 + 36*q**3 - 24*q**2 + 11*q. Let c(m) = 4*f(m) + 11*w(m). Factor c(n).
-4*n**2*(n - 1)**2*(n + 2)
Let g(n) = 3*n + 5. Let d be g(4). Let w = 19 - d. Let -4/7*k**w + 0*k - 10/7*k**5 - 2/7*k**3 + 0 + 16/7*k**4 = 0. Calculate k.
-2/5, 0, 1
Let y(r) be the second derivative of -r**6/70 + 9*r**5/140 - 3*r**4/28 + r**3/14 - r + 1. Factor y(u).
-3*u*(u - 1)**3/7
Let i(t) be the first derivative of -1/42*t**4 - 2*t - 1/7*t**2 + 1 + 2/21*t**3. Let m(f) be the first derivative of i(f). Factor m(y).
-2*(y - 1)**2/7
Suppose -2*d - x - 55 + 146 = 0, -5*x + 95 = 2*d. Let w be d/13 + -3 + 0. Solve -w*v - 6/13*v**2 - 2/13*v**3 - 2/13 = 0 for v.
-1
Let w be (-4)/(-2)*(-2)/1. Let k be w/(-6)*-3 + 6. Let -l**2 + 0*l**5 + 0*l**k - 3*l**4 - l**5 - 3*l**3 = 0. Calculate l.
-1, 0
Let g(b) be the first derivative of b**4/4 - b**3/3 - b**2 - 2. Find o, given that g(o) = 0.
-1, 0, 2
Suppose -8*q = q - 4*q. Determine p so that 9/7*p**2 + q - 3/7*p**3 - 6/7*p = 0.
0, 1, 2
Let f(c) = -c**3 + 7*c**2 - 4*c - 7. Let x be f(6). Suppose s - 3*m = -x, 4*s + 17 = 6*s + 3*m. Suppose -r**s + 5 + r**5 - 5 = 0. Calculate r.
0, 1
Let y = -3 - -2. Let q = y + 5. What is z in -2*z - 5*z**2 + q*z**2 - z**2 = 0?
-1, 0
Factor 0*m**4 - 17*m**3 - 5*m**4 - 3*m**3 - 20*m - 5 - 30*m**2.
-5*(m + 1)**4
Let p(s) be the second derivative of s**8/84 - 2*s**7/105 - s**6/30 + s**5/15 - 4*s**2 - 5*s. Let t(z) be the first derivative of p(z). Factor t(x).
4*x**2*(x - 1)**2*(x + 1)
Let p(z) be the first derivative of 2*z**3/9 - 2*z**2 + 6*z - 4. Suppose p(f) = 0. Calculate f.
3
Factor -1/3*x**2 + 0 + 0*x**3 + 0*x + 1/3*x**4.
x**2*(x - 1)*(x + 1)/3
Let o(r) = -r**3. Let y(k) = -4*k**3 + 10*k**2 - 4*k. Let i(u) = 2*o(u) + y(u). Factor i(z).
-2*z*(z - 1)*(3*z - 2)
Let x be (-7)/(-21) - 4/30. Solve 1/5*o - 1/5*o**2 + 1/5 - x*o**3 = 0 for o.
-1, 1
Let h(c) be the first derivative of c**6/15 - 2*c**5/25 - c**4/5 + 4*c**3/15 + c**2/5 - 2*c/5 + 70. What is k in h(k) = 0?
-1, 1
Let f(z) = 1. Let j(y) = -3*y**2 + 18*y - 22. Let o(x) = 5*f(x) - j(x). Factor o(v).
3*(v - 3)**2
Let y(z) be the first derivative of 2*z**5/5 - z**4/2 - 2*z**3/3 + z**2 + 22. What is f in y(f) = 0?
-1, 0, 1
Let s(i) be the third derivative of -1/40*i**5 + 2/315*i**7 + 1/36*i**3 + 1/42*i**8 + 0*i + 0 - 53/720*i**6 + 5/144*i**4 + 7*i**2. Let s(f) = 0. Calculate f.
-1, -1/4, 1/3, 1
Let m(u) be the third derivative of u**8/144 - 4*u**7/315 + u**6/360 - 29*u**2. Factor m(r).
r**3*(r - 1)*(7*r - 1)/3
Let t(a) be the third derivative of -a**7/210 - 3*a**6/80 - a**5/20 - 5*a**4/24 + a**2. Let i(b) be the second derivative of t(b). Factor i(d).
-3*(d + 2)*(4*d + 1)
Let x(g) = g**2 - 12*g + 34. Let l be x(4). Factor -2/9*t**l - 2 - 4/3*t.
-2*(t + 3)**2/9
Suppose -3*x = -3, -2*s + x + 5 + 18 = 0. Suppose 0 = b + 3*b + 3*g + s, 3*g = -12. Determine k so that 2/3*k + b + 2/3*k**5 - 8/3*k**2 + 4*k**3 - 8/3*k**4 = 0.
0, 1
What is h in -52*h**2 - 2*h**4 - 16 + 2*h**4 + 35*h + 13*h + 24*h**3 - 4*h**4 = 0?
1, 2
Let t be (4/(-6))/((-6)/18). Solve 151*u - 15 + 5*u**2 + 19*u**2 + 143 + t*u**3 - 55*u = 0.
-4
Let g = 5 + -5. Factor -4*b + g*b + 3*b**2 - b**2.
2*b*(b - 2)
Let q(y) = 5*y - 32. Let g be q(7). Solve 1/2*f - 3/2*f**g + 0 - f**2 = 0.
-1, 0, 1/3
Let b(h) be the third derivative of h**9/22680 - h**8/5040 - h**4/8 - 4*h**2. Let i(w) be the second derivative of b(w). Factor i(k).
2*k**3*(k - 2)/3
Suppose 5*f + 4*q - 20 = -0*f, 4*f - 16 = 2*q. Factor 5/2*w**3 - 1/4 - 5/4*w**f + 1/4*w**5 - 5/2*w**2 + 5/4*w.
(w - 1)**5/4
Factor -10/3*q**3 + 5*q + 10/3*q**2 - 5*q**4 + 5/3 - 5/3*q**5.
-5*(q - 1)*(q + 1)**4/3
Let s(w) be the first derivative of w**6/540 + w**5/60 + w**4/18 - 2*w**3 - 4. Let g(o) be the third derivative of s(o). Let g(m) = 0. Calculate m.
-2, -1
Factor 4*g**3 + 16/5*g**4 + 8/5*g**2 + 0 + 0*g + 4/5*g**5.
4*g**2*(g + 1)**2*(g + 2)/5
Let n(s) = s**2 + s + 4*s**2 - 4*s**2. Let v be n(1). Solve 4*l**v + 0 - 4*l - 2*l**2 + 2 = 0.
1
Let w(r) be the first derivative of -r**6/42 - r**5/35 + 3*r**4/14 - 2*r**3/21 - 5*r**2/14 + 3*r/7 + 28. Factor w(t).
-(t - 1)**3*(t + 1)*(t + 3)/7
Let a(x) be the third derivative of x**6/200 + x**5/50 - 19*x**2. Factor a(m).
3*m**2*(m + 2)/5
Factor 8*m**3 + 0 - 2/3*m**4 + 20/3*m - 14*m**2.
-2*m*(m - 10)*(m - 1)**2/3
Let c be 1/4 - 1/4. Let n = 20/57 + 6/19. Factor -1/3*u**3 - n*u**2 + c - 1/3*u.
-u*(u + 1)**2/3
Let a be (-275)/1170 + (-2)/(-9). Let n = 307/390 - a. Determine f so that n*f + 4/5*f**3 - 1/5*f**4 - 6/5*f**2 - 1/5 = 0.
1
Let n(a) be the third derivative of a**5/210 - a**4/168 - a**3/42 + a**2. Factor n(m).
(m - 1)*(2*m + 1)/7
Let a be 39/9 + (-2)/6. Solve 21*c**a + 34*c**2 + 57*c**4 - 3*c + 14*c**2 + 0*c + 21*c**5 - 6 + 102*c**3 = 0 for c.
-1, 2/7
Suppose 3*u - 3*m + 90 = 0, -2*u = -5*m + 9 + 48. Let v = 125/4 + u. Factor 0*x - v*x**2 + 0.
-x**2/4
Let y be (-6)/(10/(-8) + 2). Let p = 18 + y. Factor 3*u**2 + p*u + 5*u**2 - 1 - 6*u**3 + 5 + 8*u**3.
2*(u + 1)**2*(u + 2)
Let h = 369 + -3317/9. Factor 0*i**2 + 0 + 2/3*i**4 - h*i**3 + 4/9*i**5 + 0*i.
2*i**3*(i + 2)*(2*i - 1)/9
Let u(q) be the first derivative of q**4/66 + q**3/33 + q - 1. Let c(x) be the first derivative of u(x). Factor c(p).
2*p*(p + 1)/11
Let n be (-2031)/(-15) + 2/(-5). Let q be 141/n + (-3)/5. Solve -2/9*m**2 - q*m**3 + 0*m + 0 - 2/9*m**4 = 0 for m.
-1, 0
Suppose d + 2 = -t, 0 = -4*d + 3*d + 5*t + 22. Suppose -y = 4*v + v - 22, 0 = -4*y + d*v. Factor 4*p**3 + 2*p**5 + y*p**2 + 6*p**4 + 0*p**5 + 2*p**3.
2*p**2*(p + 1)**3
Let c(t) be the second derivative of -t**9/7560 - t**8/3360 + t**4/12 - t. Let w(v) be the third derivative of c(v). Determine p, given that w(p) = 0.
-1, 0
Let n = 7 + -5. Determine p, given that 2*p**3 - n*p - 6*p**2 + p + p + 4*p = 0.
0, 1, 2
Let c be 30/12*12/10. Suppose -2*t + 3 = -c. Factor 1/4*i**4 - 1/4*i - 3/4*i**t + 3/4*i**2 + 0.
i*(i - 1)**3/4
Let h(d) = 5*d**2 + 1. Let u = -9 + 3. Suppose 5*o + 77 = -2*o. Let g(y) = -9*y**2 - 2. Let c(t) = o*h(t) + u*g(t). Factor c(w).
-(w - 1)*(w + 1)
Let p(x) be the third derivative of x**5/20 + x**4/4 - x**2. Solve p(v) = 0.
-2, 0
Let i be (192/(-40))/(2/10). Let v be 8/(-2) + (-126)/i. Let 5/4*t**3 + 1/2 - v*t - 15/4*t**2 + 3*t**5 + 25/4*t**4 = 0. Calculate t.
-1, 1/4, 2/3
Let d(f) be the first derivative of -2/11*f**2 - 2/33*f**3 + 4 - 2/11*f. Factor d(c).
-2*(c + 1)**2/11
Let y(m) be the third derivative of m**7/1680 + m**6/960 - m**5/120 - m**4/48 - 9*m**2. Factor y(j).
j*(j - 2)*(j + 1)*(j + 2)/8
Factor 0*n**2 + 40 + 46 - n**2 - 90 - 5*n.
-(n + 1)*(n + 4)
Factor 24*k**3 - 10*k + 4*k**4 - 20*k**2 - 8*k**4 + 10*k.
-4*k**2*(k - 5)*(k - 1)
Let f(y) be the thir