r -9/5*l**3 + 7/5*l**2 + l**4 - 1/5*l**5 + 0 - 2/5*l.
-l*(l - 2)*(l - 1)**3/5
Solve -4/9*r**3 + 4/9*r**2 + 2/9 - 2/3*r**4 + 2/3*r - 2/9*r**5 = 0 for r.
-1, 1
Let b(x) be the third derivative of x**7/42 - x**6/8 + x**5/6 + 6*x**2. Factor b(s).
5*s**2*(s - 2)*(s - 1)
Let i(p) be the first derivative of -p**5/5 + 2*p**3/3 - p - 27. Factor i(c).
-(c - 1)**2*(c + 1)**2
Factor -38/9*z**3 - 50/9*z**2 - 8/9 - 2/9*z**5 - 32/9*z - 14/9*z**4.
-2*(z + 1)**3*(z + 2)**2/9
Let p be 6/(15/(-6) - -1). Let q be -3 - -3 - (p - -2). Factor -1/3*d**3 - 2/3*d**q + 0 - 1/3*d.
-d*(d + 1)**2/3
Let c(v) be the second derivative of -v**6/25 + v**5/10 - v**4/15 + 11*v. Factor c(l).
-2*l**2*(l - 1)*(3*l - 2)/5
Let c(m) be the second derivative of m**4/12 - m**3/2 + m**2 - 12*m. Suppose c(z) = 0. Calculate z.
1, 2
Let t(a) be the first derivative of 0*a**3 + 3 + 0*a**2 + 0*a + 1/20*a**4. Let t(m) = 0. What is m?
0
Let l(t) be the first derivative of -3*t**5/20 + 3*t**3/2 - 3*t**2 + 3*t + 2. Let w(h) be the first derivative of l(h). Solve w(k) = 0 for k.
-2, 1
Factor 12*m**3 + 19*m**3 - 34*m**3 + 3*m**2.
-3*m**2*(m - 1)
Factor 11*p**2 + 3*p**3 + 4*p**2 - 3*p**3 - 5*p**3.
-5*p**2*(p - 3)
Factor 0 - 3/7*b**3 + 6/7*b**2 - 3/7*b.
-3*b*(b - 1)**2/7
Let m = -2 + -2. Let y be (m/30)/((-10)/60). Find b such that -14/5*b**2 - y*b + 0 = 0.
-2/7, 0
Let m = 119 - 115. Determine l, given that 0 + 4/5*l**3 - 2/5*l**2 + 0*l - 2/5*l**m = 0.
0, 1
Let k(g) = -g**3 + g**2 - g - 1. Let b(z) = -10*z**3 + 13*z**2 + 11*z - 1. Let c(l) = -b(l) + k(l). Factor c(h).
3*h*(h - 2)*(3*h + 2)
Let m(y) be the first derivative of -2*y**6/3 + 12*y**5/5 - 3*y**4 + 4*y**3/3 - 10. Factor m(q).
-4*q**2*(q - 1)**3
Let a(f) be the second derivative of 4*f + 0 - 3/10*f**5 + 0*f**2 + 1/3*f**3 + 0*f**4 - 2/15*f**6. Factor a(i).
-2*i*(i + 1)**2*(2*i - 1)
Factor 3/4*d**3 - 1/4*d**5 - 1/2*d**2 + 0*d + 0*d**4 + 0.
-d**2*(d - 1)**2*(d + 2)/4
Let d = 4 - 2. Factor -2*j - j**d - 2*j - j**2.
-2*j*(j + 2)
Suppose 3*c - 44 = -2. Let l = c + -14. Factor v**2 + 0 + l*v**3 - 1/2*v**5 + 1/2*v - v**4.
-v*(v - 1)*(v + 1)**3/2
Let y be (2 - 3)/(-1) - -1. Let m(x) = -1 + 1 - x + y*x. Let o(g) = 2*g**3 + 4*g**2 - 4. Let p(t) = -2*m(t) + o(t). Factor p(n).
2*(n - 1)*(n + 1)*(n + 2)
Let j = 107 - 105. Let d(i) be the third derivative of 0*i - 1/24*i**4 + 1/3*i**3 + 1/120*i**6 - 1/30*i**5 + 0 + i**j. Solve d(z) = 0 for z.
-1, 1, 2
Let a(p) be the second derivative of -p**4/6 - p**3/3 - 10*p. Factor a(d).
-2*d*(d + 1)
Let p(v) be the second derivative of 2/3*v**2 - v + 0 + 5/9*v**3 - 7/18*v**4. Factor p(w).
-2*(w - 1)*(7*w + 2)/3
Let x(z) = 4*z**5 + 7*z**4 + 2*z**3 - 7*z**2 - 3*z - 3. Let q(w) = w**5 + w**4 - w**2 - 1. Let v(b) = -3*q(b) + x(b). What is n in v(n) = 0?
-3, -1, 0, 1
Let d(p) = -p**3 + 6*p**2 + 8. Let b be d(6). Suppose -b = -0*k - 4*k. Suppose 5*u - 3*u + 6*u**3 + 0*u**k + 2*u - 10*u**2 = 0. Calculate u.
0, 2/3, 1
Let w(t) be the first derivative of t**6/6 - 3*t**5/5 - 7*t**4/4 + 5*t**3 + 9*t**2 + 41. Factor w(l).
l*(l - 3)**2*(l + 1)*(l + 2)
Let g = 28 + -24. Let d(c) be the second derivative of 0*c**2 - 2/21*c**3 - 1/14*c**g + c + 1/14*c**5 + 0. Determine v so that d(v) = 0.
-2/5, 0, 1
Suppose -14 - 1 = -3*z. Suppose 2*j**3 - 13*j**5 + z*j - 8 + 34*j**2 + 3*j**5 + 3*j - 26*j**4 = 0. What is j?
-2, -1, 2/5, 1
Let g(i) be the third derivative of -i**7/525 + i**6/75 - i**5/25 + i**4/15 - i**3/15 + 14*i**2. Factor g(x).
-2*(x - 1)**4/5
Let 0 + 3/5*f**4 + 0*f - 3/5*f**2 + 0*f**3 = 0. What is f?
-1, 0, 1
Factor 6 - 2/3*o**3 + 14/3*o**2 - 10*o.
-2*(o - 3)**2*(o - 1)/3
Let n(s) = 2*s. Suppose -2*q = -0*q - 6. Let j be n(q). Let t(z) = 4*z**3 + 6*z - 6. Let v(i) = i**3 + i - 1. Let k(r) = j*v(r) - t(r). What is y in k(y) = 0?
0
Suppose -9*v = -6*v - 3. Let k be (2/(-10))/(v/(-4)). Determine q, given that -24/5*q**2 + 8/5*q**4 + k - 2*q - 2/5*q**3 = 0.
-1, 1/4, 2
Let t be -4 - -9 - 4/2. Factor b**t - 3*b**3 + 0*b**5 + b**3 + b**5.
b**3*(b - 1)*(b + 1)
Let p be ((-1)/2)/(1/6). Let v be (-3 - (-9)/p)/(-2). Factor 4*z**2 + 3*z**v - z**3 + 16*z + 6*z**2 + 8.
2*(z + 1)*(z + 2)**2
Let z(k) be the first derivative of k**4/48 - k**2/8 + 3*k + 2. Let l(m) be the first derivative of z(m). Solve l(r) = 0 for r.
-1, 1
Factor -24/5*d**3 - 48/5*d**4 + 21/5*d**2 + 0 - 3/5*d.
-3*d*(d + 1)*(4*d - 1)**2/5
Let u(r) be the first derivative of -3/4*r**4 - 1 + 0*r**2 + r**3 + 0*r. Factor u(s).
-3*s**2*(s - 1)
Suppose -4*d + 5*d = -2*z + 5, -2*d + 10 = -2*z. Find q, given that 0 + z*q + 0*q**3 + 2/7*q**4 + 0*q**2 = 0.
0
Suppose 0 = -5*p + 17*p - 24. Solve -3/5*k**p + 4/5*k**3 + 4/5 - 4/5*k - 1/5*k**4 = 0 for k.
-1, 1, 2
Suppose 4*k = -2*b + 92, 19 = 2*k - b - 19. Suppose k = 4*n + 5. Solve -26/5*d**3 - 8/5*d - 2/5*d**5 + 12/5*d**n + 0 + 24/5*d**2 = 0 for d.
0, 1, 2
Let v(u) = u**5 + u**4 + u**2 + u + 1. Let t(x) = -x**5 - 7*x**4 - 3*x**2 - 3*x - 3. Let n(i) = -2*t(i) - 6*v(i). Solve n(j) = 0 for j.
0, 2
Let g(w) be the first derivative of w**4/12 - w**2/2 + 2*w/3 - 7. Find s such that g(s) = 0.
-2, 1
Let f(x) be the second derivative of 3*x**4 + 4*x**3 + 2*x**2 + 17*x. Let f(g) = 0. What is g?
-1/3
Suppose -2*z**2 + z - 5*z + z + z = 0. Calculate z.
-1, 0
Let j(h) be the third derivative of 2*h**7/105 + h**6/15 - h**5/15 - h**4/3 + 19*h**2. Solve j(v) = 0 for v.
-2, -1, 0, 1
Let a be (-2)/(-5) + (-70)/(-450). Let v = 43/45 - a. Factor 1/5*n**3 - v*n + 0 - 1/5*n**2.
n*(n - 2)*(n + 1)/5
Suppose -5*b = -4*x - 8, x = b + 1 - 2. Let a(o) be the first derivative of 0*o**2 - 1/6*o**x - 1 + 0*o. Let a(m) = 0. Calculate m.
0
Let f(p) be the first derivative of 4/3*p**3 + p**2 - 1 + 0*p + 1/2*p**4. Factor f(y).
2*y*(y + 1)**2
Let h be (-2)/((-6)/(-27)*-12). Let -81/4*y - h*y**3 - 27/4*y**2 - 81/4 = 0. Calculate y.
-3
Let k be ((-3)/2)/(3/(-6)). Suppose -k*v + 10 = 2*v. Suppose v*c**4 - 2*c**2 - 2*c**5 + 1 + 2*c**3 - 1 = 0. What is c?
-1, 0, 1
Suppose -1/4*v + 7/4*v**3 + 0 - v**4 - 1/2*v**2 = 0. Calculate v.
-1/4, 0, 1
Factor -2/7*a**2 - 6/7*a + 8/7.
-2*(a - 1)*(a + 4)/7
Let z(t) be the second derivative of -8/27*t**3 + 0 + 7*t - 3/5*t**5 + 1/5*t**6 + 2/3*t**4 + 0*t**2. Solve z(l) = 0 for l.
0, 2/3
Let i(y) be the third derivative of y**6/240 + y**5/24 + y**4/16 - 3*y**3/4 - 15*y**2. Factor i(b).
(b - 1)*(b + 3)**2/2
Let s = -22 + 33. Solve -12*v**2 - s*v**3 + 4*v**3 - v**3 - 2*v**4 - 2 - 8*v = 0 for v.
-1
Find x such that 0*x**2 + 2/3 - x + 1/3*x**3 = 0.
-2, 1
Let w(i) be the second derivative of 0 + 0*i**3 + 3*i + 1/60*i**5 + 0*i**4 + 0*i**2. Factor w(m).
m**3/3
Let c be 6*2/(-45)*-3. Factor -c*y + 0 + 4/5*y**2.
4*y*(y - 1)/5
Let s(b) be the third derivative of b**5/30 - 7*b**4/24 + b**3/2 - 6*b**2. Solve s(f) = 0.
1/2, 3
Let i(w) be the second derivative of w**5/4 + 25*w**4/12 + 5*w**3/3 - 20*w**2 - 2*w - 29. Solve i(z) = 0 for z.
-4, -2, 1
Let f(h) be the second derivative of h**6/6 + 5*h**5/4 - 65*h**4/12 + 35*h**3/6 + h - 13. Solve f(w) = 0 for w.
-7, 0, 1
Let g(a) be the second derivative of 0 + 1/2*a**4 + 1/14*a**7 - 1/10*a**6 + 6*a - 3/2*a**2 - 3/10*a**5 + 1/2*a**3. Factor g(s).
3*(s - 1)**3*(s + 1)**2
Suppose -2*f - 209 + 857 = 0. Let i = -2264/7 + f. Find v, given that 2/7*v + 0 - 4/7*v**4 + i*v**2 - 2/7*v**5 + 0*v**3 = 0.
-1, 0, 1
Suppose 4/5 - 2*h + 1/10*h**4 + 9/5*h**2 - 7/10*h**3 = 0. What is h?
1, 2
Factor -2/15*p**3 + 2/5*p**2 + 0 - 4/15*p.
-2*p*(p - 2)*(p - 1)/15
Let y(a) be the first derivative of -7*a**4 + 8*a**3/3 + 9. Suppose y(w) = 0. Calculate w.
0, 2/7
Let r(j) = j**5 + j**4 + j + 1. Let w(c) = 52*c**5 + 124*c**4 + 99*c**3 + 30*c**2 + 7*c + 4. Let f(k) = 4*r(k) - w(k). Factor f(m).
-3*m*(m + 1)**2*(4*m + 1)**2
Let l(k) = -11*k**3 - 20*k**2 - 20*k - 8. Let p(n) = 7*n**3 + 13*n**2 + 13*n + 5. Let x(s) = 5*l(s) + 8*p(s). Let x(q) = 0. Calculate q.
-2, 0
Suppose 5*h - 77 - 18 = 0. Let r = h + -17. Factor 0 + 0*c**r + 1/5*c**3 - 1/5*c.
c*(c - 1)*(c + 1)/5
Let g(x) be the second derivative of 1/4*x**4 + 1/30*x**6 + 0 + 1/6*x**3 + 0*x**2 + 3/20*x**5 + 2*x. Factor g(y).
y*(y + 1)**3
Let k(c) be the third derivative of c**7/3780 + c**6/360 + c**5/90 - c**4/8 + c**2. Let v(n) be the second derivative of k(n). Factor v(p).
2*(p + 1)*(p + 2)/3
Solve 0*y - y**2 - 1 + 0*y + 2*y = 0.
1
Let n be (-53 - -43)*(50/26 + -2). Factor -20/13*j**3 + 20/13*j**