such that 0 - 3/5*k**3 + 1/5*k**n + 0*k + 2/5*k**l = 0.
0, 1/2, 1
Determine u so that 1 - 1/4*u**2 - 3/4*u = 0.
-4, 1
Let 0 - h + 3/4*h**3 - h**2 + h**4 + 1/4*h**5 = 0. What is h?
-2, -1, 0, 1
Solve 3*r**3 - 12*r**4 + 48*r**2 - 15*r**2 - 12*r + 15*r**2 = 0 for r.
-2, 0, 1/4, 2
Let l(d) = 3*d**3 + 6*d**2 + 3*d - 6. Let u(y) = y**3 + y**2 - 1. Let q(x) = -l(x) + 6*u(x). Solve q(k) = 0 for k.
-1, 0, 1
Suppose 2 = -3*l + 5, -f + 3*l - 1 = 0. Suppose -f*m = m - 6. Suppose -4 + 4 + 2*h + 2*h**m = 0. Calculate h.
-1, 0
Suppose c + 3 = 5. Suppose -4*f**c + 7*f**2 - 5*f**2 = 0. Calculate f.
0
Factor 2/7*a**2 + 6/7*a + 4/7.
2*(a + 1)*(a + 2)/7
Let a(w) be the third derivative of w**9/3024 - w**8/840 + w**6/180 - w**5/120 + 2*w**3/3 - 2*w**2. Let h(p) be the first derivative of a(p). Factor h(v).
v*(v - 1)**3*(v + 1)
Let n(l) be the first derivative of 10 - 2/9*l**2 + 1/9*l**4 - 2/9*l + 2/45*l**5 + 0*l**3. Factor n(z).
2*(z - 1)*(z + 1)**3/9
Let g(h) = -3*h**3 - 9*h**2. Let v(f) = 2*f**3 + 9*f**2 - f. Let b(r) = 5*g(r) + 6*v(r). Factor b(p).
-3*p*(p - 2)*(p - 1)
Let z(i) = i**2 + 2*i + 3. Let w be z(-3). Let y(r) be the third derivative of 0 + 0*r**5 - 1/120*r**w + r**2 + 1/24*r**4 + 0*r + 0*r**3. Solve y(d) = 0 for d.
-1, 0, 1
Let v(a) be the third derivative of -4*a**5/15 - 5*a**4/6 - 25*a**3/24 - 49*a**2. Suppose v(h) = 0. Calculate h.
-5/8
Let d(l) = -l**2 + 10*l - 16. Let a be d(8). Suppose -2/7*r + 8/7*r**4 + 8/7*r**2 + a - 12/7*r**3 - 2/7*r**5 = 0. Calculate r.
0, 1
Let i(c) be the first derivative of -1/2*c**4 - 9/5*c**5 - 7/6*c**6 + 3 + 0*c**3 + 0*c**2 + 0*c. What is p in i(p) = 0?
-1, -2/7, 0
Let y(j) be the third derivative of j**5/60 + j**4/6 + j**3/2 - 2*j**2 - 4. Suppose y(q) = 0. What is q?
-3, -1
Let c(v) = 2*v - 3. Let r be c(5). Find h, given that -h**3 + 0*h + 9*h**2 + 3*h + r*h**3 = 0.
-1, -1/2, 0
Let t(u) be the first derivative of -u**5 + 5*u**4/2 + 40. Factor t(x).
-5*x**3*(x - 2)
Let y(t) be the second derivative of -t**5/20 + t**4/4 + t**3/3 - 2*t**2 + 2*t. Let h be y(3). Factor 2*x**2 + 6 - 6*x**2 - 27*x + 18*x**h + 7*x**2.
3*(x - 1)*(7*x - 2)
Let u(i) be the first derivative of 8/9*i**3 - 2/3*i - 1 + i**2. Find p such that u(p) = 0.
-1, 1/4
Let t(b) be the first derivative of 2*b - 2 - 4/3*b**3 - 4*b**2 - 1/6*b**4. Let p(i) be the first derivative of t(i). Solve p(f) = 0.
-2
Let x be 3*(-4)/6*-1. Suppose -c - 4*c = 5*f - 5, 0 = f - 5*c - 31. Factor -5*p + p**2 - f + x*p + 8.
(p - 2)*(p - 1)
Let h = -21/2 - -11. Let b(x) be the second derivative of -1/3*x**3 + h*x**2 + 0 + 1/12*x**4 - x. Factor b(q).
(q - 1)**2
Suppose z - 14/9*z**2 - 2/9*z**4 + z**3 - 2/9 = 0. What is z?
1/2, 1, 2
Let o(y) be the first derivative of -2*y**5/25 - y**4/10 + 2*y**3/5 + y**2 + 4*y/5 + 11. Factor o(t).
-2*(t - 2)*(t + 1)**3/5
Let s(o) be the first derivative of -3 - 1/2*o**4 + o**2 - 2/3*o**3 + 2*o. Factor s(w).
-2*(w - 1)*(w + 1)**2
Let q(z) be the first derivative of z**2 - 2/5*z**5 - 3 - 2*z**3 + 0*z + 3/2*z**4. Factor q(y).
-2*y*(y - 1)**3
Factor 9/4*z**3 + 21/4*z**2 + 15/4*z + 3/4.
3*(z + 1)**2*(3*z + 1)/4
Let v(b) = b**3 + 6*b**2 - 8*b - 4. Let w be ((-1)/(-2))/((-2)/28). Let t be v(w). Factor 2 - h**2 + 4*h - 2*h - 2*h**t - h**2.
-2*(h - 1)*(h + 1)**2
Let u(b) be the third derivative of b**5/300 + b**4/40 + 15*b**2. Factor u(j).
j*(j + 3)/5
Let a(d) be the first derivative of 0*d - 6/25*d**5 + 2 - 1/5*d**2 - 7/10*d**4 - 2/3*d**3. Suppose a(y) = 0. Calculate y.
-1, -1/3, 0
Let h = -72 - -43. Let r = 45 + h. Find t, given that -t**4 - 4*t**2 + 4*t**2 + r*t**3 - 4*t - 9*t**4 - 2*t**2 = 0.
-2/5, 0, 1
Let x = -10 + -6. Let i be 2/3 + x/32. Factor 0 + 0*d + 0*d**3 - i*d**2 + 1/6*d**4.
d**2*(d - 1)*(d + 1)/6
Let u(g) be the third derivative of 0 + 0*g + 1/60*g**5 + 1/12*g**4 + 2*g**2 + 0*g**3. What is j in u(j) = 0?
-2, 0
Let h(z) be the first derivative of -2*z**5/35 + z**4/7 + 5. Factor h(w).
-2*w**3*(w - 2)/7
Factor 1 + 0*j**2 + j**2 - 2*j**2.
-(j - 1)*(j + 1)
Let n(k) = -k**2 - 13*k - 12. Let i = 9 + -4. Let t(r) = r**2 + 13*r + 3 - 4*r + i. Let s(p) = 5*n(p) + 7*t(p). Factor s(u).
2*(u - 2)*(u + 1)
Let u(j) = 2*j**2 + 1. Let f(m) = -5*m**2 - 6*m - 2. Let z(x) = -f(x) - 2*u(x). Factor z(o).
o*(o + 6)
Suppose -4*y + r - 13 = -7*y, r - 1 = 0. Let t(c) be the first derivative of -1/12*c**2 - 1/24*c**y - 1/9*c**3 + 1 + 0*c. Factor t(v).
-v*(v + 1)**2/6
Let t(h) = -h**3 - 10*h**2 - 8*h + 11. Let w be t(-9). Let i be (-40)/(-70) - 0/w. Factor -2/7*l**5 - 4/7*l**2 + i*l**4 + 0*l**3 + 2/7*l + 0.
-2*l*(l - 1)**3*(l + 1)/7
Let p(n) be the third derivative of 0*n**4 - n**2 - 1/20*n**6 - 1/35*n**7 + 0*n**3 + 0*n + 0 - 1/224*n**8 + 0*n**5. Factor p(s).
-3*s**3*(s + 2)**2/2
Let o(c) be the third derivative of -c**6/40 - c**5/5 - 5*c**4/8 - c**3 + 25*c**2. What is s in o(s) = 0?
-2, -1
Let c(m) = m**3 - 4*m**2 - 2*m + 2. Let i(t) = -2*t**2 + t + 1. Let v(x) = -2*c(x) + 4*i(x). Let v(w) = 0. What is w?
-2, 0, 2
Let v(r) be the second derivative of r**4/4 + r**3/3 - r**2/2 + 34*r. Suppose v(y) = 0. What is y?
-1, 1/3
Let w(s) be the first derivative of 0*s - 4*s**4 - 4/5*s**5 - 20/3*s**3 - 4*s**2 + 7. Let w(c) = 0. Calculate c.
-2, -1, 0
Let o(b) be the second derivative of 3*b + 0*b**3 + 1/10*b**5 + 0 + 1/15*b**6 + 0*b**2 + 0*b**4. Determine r, given that o(r) = 0.
-1, 0
Let j be (-1)/(0 + 3)*-6. Let r(z) = -7*z - 1. Let c be r(-1). What is i in j - 26*i - 54*i**2 - c + 22*i**3 - 14*i**4 - 68*i**3 = 0?
-1, -2/7
Let x(i) be the first derivative of -i**7/210 + i**5/60 + i**2 + 2. Let p(z) be the second derivative of x(z). Let p(m) = 0. What is m?
-1, 0, 1
Suppose 18 - 3 = -3*f. Let j be ((-1)/(-7))/(f/(-10)). Factor 2/7*a**4 + 0 + 0*a + j*a**5 - 2/7*a**2 - 2/7*a**3.
2*a**2*(a - 1)*(a + 1)**2/7
Let o = 71/2 + -35. Factor 1/2*r**2 - o*r + 0.
r*(r - 1)/2
Let k(t) be the third derivative of t**8/504 - t**7/105 - t**6/180 + 7*t**5/90 - 4*t**3/9 - 24*t**2. Solve k(j) = 0.
-1, 1, 2
Let u(a) be the first derivative of 2/21*a**3 + 0*a - 5 + 1/7*a**2. Factor u(j).
2*j*(j + 1)/7
Let s(p) = -4*p**3 - 2*p**2 - 3*p + 2. Let z(j) = j + 1. Let w(i) = s(i) - 2*z(i). Let g(q) = 2*q**3 + q**2 + 3*q. Let t(u) = -7*g(u) - 4*w(u). Factor t(o).
o*(o + 1)*(2*o - 1)
Let q = -957 + 4788/5. Factor 6/5*v**3 + q*v**4 + 0*v + 0 + 3/5*v**2.
3*v**2*(v + 1)**2/5
Let j = 1093/21 + -52. Let a = j - -2/7. Factor -1/3 - a*h**2 - 2/3*h.
-(h + 1)**2/3
Let o(q) = q**2 + 19*q + 21. Let s be o(-18). Factor 35/3*b**2 - 25*b**s + 8/3*b - 4/3.
-(3*b + 1)*(5*b - 2)**2/3
Let d = 0 - 2. Let w = d + 4. Solve 6*i**5 + 5*i**5 + i**4 - 13*i**5 + w*i**3 - i**2 = 0.
-1, 0, 1/2, 1
Let h(c) be the second derivative of -7/5*c**5 + 2*c**2 - 3*c**3 + 8/3*c**4 + 0 - 1/21*c**7 - 4*c + 2/5*c**6. Factor h(i).
-2*(i - 2)*(i - 1)**4
Solve -2/3*f**3 - 5/6*f - 1/6 - 4/3*f**2 = 0.
-1, -1/2
Find c, given that -62/15*c**3 + 32/15*c**5 + 2*c + 4/15 + 44/15*c**2 - 16/5*c**4 = 0.
-1, -1/4, 1, 2
Let c(t) be the third derivative of -t**8/6720 - t**7/420 - t**6/60 + t**5/12 + 2*t**2. Let x(d) be the third derivative of c(d). Find u such that x(u) = 0.
-2
Suppose 27*b = 25*b. Factor -1/5*y**3 - 1/5*y**4 + 1/5*y + 1/5*y**2 + b.
-y*(y - 1)*(y + 1)**2/5
Let v be -3*((-4)/2)/(-2). Let a be ((-8)/6)/(2/v). Let u(t) = -2*t**3 + 2*t**2 - 2. Let m(s) = -s**2 - s + 1. Let b(q) = a*m(q) - u(q). Factor b(p).
2*(p - 2)*(p - 1)*(p + 1)
Suppose -3*g + 25 = 4*n, -10 = -5*n + 10. Let -2/3*y + 0 - 2/3*y**g - 4/3*y**2 = 0. What is y?
-1, 0
Let r be (2/21)/((-175)/(-490)). Factor 2/15*d**3 + r*d**2 - 4/15 - 2/15*d.
2*(d - 1)*(d + 1)*(d + 2)/15
Let q be 0/(1 + -2 + 0). Suppose -2*w + 4*x + 17 + 3 = q, 3*w + 20 = -4*x. Solve 4/9*o - 2/9*o**4 - 4/9*o**3 + w*o**2 + 2/9 = 0 for o.
-1, 1
Let a = 0 + 3. Suppose 0 = 8*y + 13*y - 42. Find b, given that -2/3*b**a - 2*b - 2*b**y - 2/3 = 0.
-1
Let x(p) = -p**4 + p**3 + p. Let h(v) = 3*v**4 + 2*v**3 - 15*v**2 - 8*v. Let y(b) = h(b) - 2*x(b). Factor y(t).
5*t*(t - 2)*(t + 1)**2
Factor 5*v**2 + 8*v**3 + 2*v**4 - 14*v**3 - v**2.
2*v**2*(v - 2)*(v - 1)
Let m(d) be the third derivative of -d**6/420 + d**5/210 + d**4/84 - d**3/21 - 19*d**2. Factor m(p).
-2*(p - 1)**2*(p + 1)/7
Factor 0 + 2/7*x**2 + 4/7*x.
2*x*(x + 2)/7
Let h(u) = u**5 - u - 1. Let l(n) = 6*n**5 - 2*n**4 + n**3 - 5*n - 5. Let f(b) = -10*h(b) + 2*l(b). Let