vative of -7 + 3/2*n**4 + 0*n - 2/5*n**5 - 4/3*n**3 + 0*n**2. Factor c(p).
-2*p**2*(p - 2)*(p - 1)
Find h such that -14*h - 4*h**2 - 8*h**3 + 26*h**3 - 8 - 16*h**3 = 0.
-1, 4
Determine t so that 2*t**3 - t**4 - 2*t**3 + 3*t**3 + t - 2*t**2 - t**2 = 0.
0, 1
Let v(r) = 7*r**3 - 4*r**2 - 2*r. Let l(q) = -q**3. Let o(x) = -18*l(x) - 2*v(x). Factor o(y).
4*y*(y + 1)**2
Let 2/19*f**2 + 2/19*f + 0 = 0. Calculate f.
-1, 0
Let f(b) be the third derivative of -1/8*b**4 + 0 + 0*b - 6*b**2 + 1/60*b**5 + 0*b**3. Factor f(i).
i*(i - 3)
Let d(i) = i**2 + 6*i. Let x(r) = -r. Let h(p) = -d(p) - 6*x(p). Factor h(f).
-f**2
Suppose -18 = -12*r + 3*r. Solve 25/6*b**4 - 5*b**3 + 2*b + 2/3 - 11/6*b**r = 0.
-2/5, 1
Let i be 18 - 20 - -7*1. Let g(l) be the second derivative of -l**3 + 0*l**4 + 1/10*l**i + 2*l**2 + 2*l + 0. Determine q so that g(q) = 0.
-2, 1
Let l(t) be the first derivative of -8*t**3/7 - 2*t**2 - 4*t/7 + 2. Determine p, given that l(p) = 0.
-1, -1/6
Factor 4*i**3 + 2*i + i**3 - 3*i**3 - 3*i**2 - i**2.
2*i*(i - 1)**2
Determine y so that 2/5*y**3 + 0*y**2 + 4/5*y**4 + 0 - 6/5*y**5 + 0*y = 0.
-1/3, 0, 1
Let t(i) be the first derivative of i**5/60 + i**4/24 - i**3/3 + 5*i**2/2 - 6. Let w(f) be the second derivative of t(f). Factor w(a).
(a - 1)*(a + 2)
Suppose -5*s = -3*s. Let x be 9/(-6) + (-11)/(-4). Let s + 1/4*m**3 + 3/4*m**5 + x*m**4 + 0*m - 1/4*m**2 = 0. What is m?
-1, 0, 1/3
Let x(r) be the second derivative of -r**4/6 + 2*r**3/3 + 3*r**2 - 10*r. Factor x(d).
-2*(d - 3)*(d + 1)
Let v(w) be the first derivative of 2*w**6/27 + 4*w**5/45 - 5*w**4/9 - 4*w**3/27 + 16*w**2/9 - 16*w/9 + 2. Factor v(k).
4*(k - 1)**3*(k + 2)**2/9
Solve 1/4 - 1/4*q**4 + 1/2*q - 1/2*q**3 + 0*q**2 = 0 for q.
-1, 1
Let r be 3 + -2 + 3 - 2. Let -2*f**3 + 2*f**2 + 0*f**r + 0*f**2 = 0. What is f?
0, 1
Let h(x) = -x**3 + 3*x**2 + 4. Let b be h(3). Let j be (4 - 18)/(-2) - b. What is k in -2/7*k + 0 + 2/7*k**2 + 2/7*k**j - 2/7*k**4 = 0?
-1, 0, 1
Let p(f) be the second derivative of -f**5/4 - 5*f**4/6 - 5*f**3/6 - 11*f. Factor p(u).
-5*u*(u + 1)**2
Let h(y) be the first derivative of 0*y + 1/27*y**6 + 2 + 0*y**4 - 2/45*y**5 + 0*y**2 + 0*y**3. Determine u, given that h(u) = 0.
0, 1
What is t in 0*t**2 - 16/3*t**4 + 4/3*t**5 + 0*t + 0 + 4*t**3 = 0?
0, 1, 3
Let m(n) be the first derivative of n**7/840 + n**6/480 - n**5/80 - 5*n**4/96 - n**3/12 + n**2 + 2. Let g(s) be the second derivative of m(s). Factor g(z).
(z - 2)*(z + 1)**3/4
Let t = 146 - 1018/7. Factor t*g + 6/7*g**2 + 0 + 0*g**3 - 2/7*g**4.
-2*g*(g - 2)*(g + 1)**2/7
Find h such that -15*h**3 - 16*h**5 + 42*h**4 - 6*h**4 + 6*h**2 + h**5 - 12*h**3 = 0.
0, 2/5, 1
Let o(i) be the third derivative of 5*i**8/336 + 2*i**7/21 + i**6/4 + i**5/3 + 5*i**4/24 + 15*i**2. Find a, given that o(a) = 0.
-1, 0
Let j = -13 - -18. Let m be j/2*24/20. Factor -25/3*v**2 - 7/3*v**4 - 1/3*v**5 - 19/3*v**m - 4/3 - 16/3*v.
-(v + 1)**3*(v + 2)**2/3
Let s(t) = t**2 + 17*t + 65. Let n(q) = 6*q + 22. Let m(w) = -7*n(w) + 2*s(w). Factor m(z).
2*(z - 6)*(z + 2)
Let g(k) be the second derivative of -5*k - 1/3*k**3 + 0*k**2 - 1/12*k**4 + 0. Let g(y) = 0. What is y?
-2, 0
Let z(w) = -2*w**2 + 3*w + 9. Let g(u) = 2*u**2 - 4*u - 10. Let y(o) = -5*g(o) - 6*z(o). Suppose y(i) = 0. Calculate i.
-2, 1
Let n(t) be the first derivative of 0*t - 1/9*t**6 + 0*t**3 + 2/5*t**5 - 1/3*t**4 - 7 + 0*t**2. Factor n(z).
-2*z**3*(z - 2)*(z - 1)/3
Let m(c) be the first derivative of -c**4/2 + c**3/2 - 3*c + 3. Let t(u) be the first derivative of m(u). Find z, given that t(z) = 0.
0, 1/2
Let j(b) be the first derivative of -b**3/12 + 3*b**2/8 - b/2 - 4. Factor j(y).
-(y - 2)*(y - 1)/4
Let k(c) be the third derivative of -2*c**2 + 0 - 1/60*c**5 + 0*c**3 + 0*c + 1/12*c**4. Factor k(d).
-d*(d - 2)
Let u(x) = -x**2 - 25*x - 36. Let p be u(-23). Factor 8/5 - 8*t + p*t**2.
2*(5*t - 2)**2/5
Suppose j = 6*j - 10. Factor g**2 - 2*g - g**j + 2*g**3.
2*g*(g - 1)*(g + 1)
Factor -3*t**3 - 5/2*t**2 + 0 + 0*t - 1/2*t**4.
-t**2*(t + 1)*(t + 5)/2
Let q(t) be the first derivative of 7 + 1/2*t**3 + 0*t**2 + 0*t. Suppose q(i) = 0. Calculate i.
0
Let g(p) = 21*p**2 + 16*p - 1. Let d be g(-1). Solve 2/3*q - 2/3 - 28/3*q**3 - 2*q**5 + 4*q**2 + 22/3*q**d = 0 for q.
-1/3, 1
Let p be (2/6)/((-13)/(-78)). Factor 2/3*v**3 + 0 - 2/3*v + 0*v**p.
2*v*(v - 1)*(v + 1)/3
Let w(b) = b**2 + b + 4. Let z(t) = -6 + 4 - 4*t**2 + t - 4*t - 13. Let h(g) = 22*w(g) + 6*z(g). Factor h(y).
-2*(y - 1)**2
Let k(u) = -2*u + 6. Let q be k(2). Factor -1/2*o**q + 0 - o.
-o*(o + 2)/2
Let y = 1019979/18085 - -3/3617. Let w = -56 + y. Factor w*s + 1/5 + 1/5*s**2.
(s + 1)**2/5
Let x(h) = 9*h**3 + 24*h**2 - 9*h + 24. Let k(t) = 2*t**3 + 5*t**2 - 2*t + 5. Let n(r) = -24*k(r) + 5*x(r). Solve n(s) = 0 for s.
-1, 0, 1
Let -x**2 + 443*x - 3 + 0*x**2 - 439*x = 0. What is x?
1, 3
Let i(l) = -l**3 - 3*l**2 + 4*l + 2. Let q be i(-4). Suppose q = 4*c - 10. Suppose 70*k**2 + 11 + 44*k - c - 13*k**3 + 38*k**3 = 0. Calculate k.
-2, -2/5
Let u(i) = -i**2 - i + 2. Let p(m) be the first derivative of -5*m**3/3 - 5*m**2/2 + 9*m + 1. Let n(q) = 2*p(q) - 9*u(q). Factor n(l).
-l*(l + 1)
Let t(g) be the first derivative of g**5/160 + g**4/96 + 3*g + 8. Let c(d) be the first derivative of t(d). Factor c(h).
h**2*(h + 1)/8
Let m = 401/820 + -18/41. Let o(h) be the second derivative of -2*h + 0 + 1/24*h**3 - 1/48*h**4 + 1/30*h**6 + 0*h**2 - m*h**5. Suppose o(p) = 0. What is p?
-1/2, 0, 1/2, 1
Let w(o) be the third derivative of -o**5/60 + o**4/4 - 5*o**3/6 - 3*o**2. Let n be w(5). Factor -2/5*i**3 + n*i - 2/5*i**2 + 0.
-2*i**2*(i + 1)/5
Solve 0 + 2/3*d - 4/3*d**4 + 0*d**3 + 4/3*d**2 - 2/3*d**5 = 0 for d.
-1, 0, 1
Determine x, given that -3*x**3 - 6*x**2 + 9/2*x**4 + 3/2 + 0*x + 3*x**5 = 0.
-1, 1/2, 1
Let w be (-4)/(3 - 56/12). Suppose 6/5*m**2 - 12/5*m**3 + w*m + 3/5 - 9/5*m**4 = 0. Calculate m.
-1, -1/3, 1
Let u(k) be the first derivative of -2*k**6/3 - 8*k**5/5 + 8*k**3/3 + 2*k**2 + 2. Factor u(r).
-4*r*(r - 1)*(r + 1)**3
Let h(y) be the first derivative of y**4/9 + 16*y**3/27 + 10*y**2/9 + 8*y/9 + 2. Factor h(w).
4*(w + 1)**2*(w + 2)/9
Let o(k) be the second derivative of 0 - 1/24*k**4 + k + 0*k**2 - 1/6*k**3. Factor o(a).
-a*(a + 2)/2
Let 0 + 4/7*p**5 - 18/7*p**4 - 6/7*p**2 + 20/7*p**3 + 0*p = 0. Calculate p.
0, 1/2, 1, 3
Let q(y) be the first derivative of -2/9*y**3 + 5/9*y**2 - 1 - 4/9*y. Determine p, given that q(p) = 0.
2/3, 1
Let j(n) be the first derivative of 1/3*n**3 + 2/5*n**4 - 2/5*n**2 - 2 - n. Let p(i) be the first derivative of j(i). Factor p(m).
2*(3*m + 2)*(4*m - 1)/5
Let r = 497/2020 - -2/505. Let u(l) be the first derivative of 0*l**3 + 0*l - 1/2*l**2 - 3 + r*l**4. Factor u(p).
p*(p - 1)*(p + 1)
Let p(h) be the third derivative of h**8/1848 - h**7/385 + h**6/330 + h**5/165 - h**4/44 + h**3/33 - 18*h**2. Factor p(c).
2*(c - 1)**4*(c + 1)/11
Suppose 4*i = i + 12. Suppose d = -4*h + 8, -i*d - 6 = d - 3*h. Factor -k**2 + 1/2*k + d + 1/2*k**3.
k*(k - 1)**2/2
Let j(f) be the first derivative of -3 + 0*f**4 + 4/3*f**3 - 4/5*f**5 + 0*f + 0*f**2. Factor j(t).
-4*t**2*(t - 1)*(t + 1)
Let v(a) be the third derivative of -a**8/1680 - a**7/175 - 7*a**6/300 - 4*a**5/75 - 3*a**4/40 - a**3/15 + 8*a**2. Factor v(k).
-(k + 1)**4*(k + 2)/5
Let c(u) be the second derivative of -u**7/21 + 2*u**6/105 + u**5/5 - 2*u**4/21 - u**3/3 + 2*u**2/7 + 16*u. Let c(s) = 0. Calculate s.
-1, 2/7, 1
Suppose 3360*q**4 - 4*q + 12*q + 2*q**3 + 3200*q**5 + 1200*q**3 + 168*q**2 = 0. Calculate q.
-2/5, -1/8, 0
Let w = 5 + -1. Suppose -10 = -3*h - w. Factor 0*i**h - 1 + 2*i**2 - 1.
2*(i - 1)*(i + 1)
Let k(u) = -u**3 + 3*u**2. Let g be k(3). Factor 8/5*s**2 - 16/5*s**3 + g*s + 0 - 2*s**4.
-2*s**2*(s + 2)*(5*s - 2)/5
Let m = 45 - 41. Factor -1/2 + 1/2*v + v**2 + 1/2*v**5 - v**3 - 1/2*v**m.
(v - 1)**3*(v + 1)**2/2
Let l(g) be the third derivative of -g**7/10080 - g**6/2880 + g**4/8 - g**2. Let s(z) be the second derivative of l(z). Suppose s(u) = 0. Calculate u.
-1, 0
Let o(g) be the second derivative of g**9/60480 - g**8/13440 + g**7/10080 - g**4/6 - 3*g. Let k(d) be the third derivative of o(d). Factor k(t).
t**2*(t - 1)**2/4
Let r = -160/9 - -419/18. Determine h so that -2 - 7/2*h**2 - 5/4*h**5 + r*h**4 + 7*h - 23/4*h**3 = 0.
-1, 2/5, 1, 2
Let o = 303/2263 - 5/31. Let j = 69/14