(5 + -9). Factor 1/3*z**5 + 0*z**4 - 1/3*z**d + 0*z**2 + 0 + 0*z.
z**3*(z - 1)*(z + 1)/3
Determine f, given that -2/15*f**3 + 2/15*f**2 - 2/15 + 2/15*f = 0.
-1, 1
Let c be (-20)/6 - (-10 - -6). Let y(j) be the first derivative of 2 + 2*j**2 + 2*j + c*j**3. Factor y(a).
2*(a + 1)**2
Let f(n) be the first derivative of -n**4/12 + n**3/3 - n**2/2 - 6*n - 4. Let r(u) be the first derivative of f(u). Factor r(h).
-(h - 1)**2
Let f = -22 - -26. Find q such that q - 15*q**2 - 18*q**4 + 27*q**2 + 6*q**f - 3*q + 18*q**5 - 16*q**3 = 0.
-1, 0, 1/3, 1
Let r(x) = -3*x - 20. Let k be 8/((-4)/(-1)) + -10. Let i be r(k). Let 4/3*v**3 - 2/3*v + 0*v**2 + 0*v**i + 0 - 2/3*v**5 = 0. What is v?
-1, 0, 1
Let -74*q**5 + 5*q**3 - 15*q**2 + 2*q**4 + 73*q**5 + 5*q**2 - 4*q + 8 = 0. What is q?
-2, -1, 1, 2
Suppose -2/15 - 2/15*d**3 - 2/5*d - 2/5*d**2 = 0. Calculate d.
-1
Let i = -313/18 + 35/2. Let t(y) be the second derivative of -i*y**2 - 1/135*y**6 - 2*y + 0 - 4/27*y**3 - 1/9*y**4 - 2/45*y**5. Let t(g) = 0. Calculate g.
-1
Let s = 6 + -3. Factor -2*o**4 - 3 + 5 + 0*o**4 - o**3 - 4*o + 5*o**s.
-2*(o - 1)**3*(o + 1)
Let g(q) = 12*q**2 + 14*q + 4. Let n be ((-4)/(-3))/(4/(-6)). Let z(h) = 13*h**2 + 15*h + 5. Let p(d) = n*z(d) + 3*g(d). Let p(t) = 0. Calculate t.
-1, -1/5
Suppose 2*q = 8*q - 6. Let w(a) be the first derivative of 1/8*a**4 + 0*a**3 + 1/20*a**5 - q - 1/4*a - 1/4*a**2. Find z, given that w(z) = 0.
-1, 1
Suppose 3*b = -o - 37, -5*b + 2*o - 58 = -0*o. Let h be ((-8)/(-3))/(b/(-18)). Let 2/5*s**2 + 0*s - 2/5*s**h + 0 - 2/5*s**5 + 2/5*s**3 = 0. What is s?
-1, 0, 1
Let x(n) be the second derivative of -n**7/11340 - n**6/1080 - n**4/3 + 3*n. Let r(k) be the third derivative of x(k). Suppose r(d) = 0. Calculate d.
-3, 0
Let h be 39/(-78) + (-7)/(-2). Let g(u) be the third derivative of 2*u**2 + 0*u**h + 0 + 1/48*u**4 + 0*u + 1/120*u**5. Solve g(w) = 0.
-1, 0
Suppose 3*m + 8 - 29 = 0. Let t(h) be the second derivative of 8/15*h**6 + 1/6*h**m + 1/5*h**5 - h**2 - 11/6*h**3 - 7/6*h**4 + 3*h + 0. Factor t(v).
(v - 1)*(v + 1)**3*(7*v + 2)
Let c(x) be the first derivative of 6 - 2/5*x**3 - 1/10*x**4 - 2/5*x - 3/5*x**2. Factor c(b).
-2*(b + 1)**3/5
Let n be 0/32*(-2)/(-8). Factor -5/3*s**3 + 0*s + n + 4/3*s**4 - 1/3*s**5 + 2/3*s**2.
-s**2*(s - 2)*(s - 1)**2/3
Let k(r) be the first derivative of r**4/26 - 2*r**3/39 - r**2/13 + 2*r/13 + 7. Factor k(s).
2*(s - 1)**2*(s + 1)/13
Let o(v) be the first derivative of -v**8/840 + v**7/168 - v**6/180 - v**3 - 2. Let n(h) be the third derivative of o(h). Factor n(l).
-l**2*(l - 2)*(2*l - 1)
Let i(o) = -o**3 + o**2 + 3*o. Let b be i(2). Let y(g) be the third derivative of 0*g - 1/60*g**4 + 1/150*g**5 + 0 - g**b + 0*g**3. Find x such that y(x) = 0.
0, 1
Let t(m) be the first derivative of m**4/8 - m**3/2 + m**2/2 + 9. Factor t(p).
p*(p - 2)*(p - 1)/2
Let h(m) be the third derivative of -m**8/336 - m**7/105 + m**5/30 + m**4/24 - 16*m**2. Factor h(v).
-v*(v - 1)*(v + 1)**3
Let v(y) be the first derivative of -y**6/60 + y**4/4 - 2*y**3/3 - 5*y**2 - 3. Let l(d) be the second derivative of v(d). Factor l(j).
-2*(j - 1)**2*(j + 2)
Let p(a) = -a**3 + a**2 + 1. Let w(x) be the first derivative of -3*x**4 + 14*x**3/3 + x**2 + 6*x - 2. Let d(q) = 10*p(q) - w(q). Factor d(s).
2*(s - 2)*(s - 1)*(s + 1)
Let j(y) be the second derivative of 1/6*y**3 + 1/2*y**2 - 1/120*y**6 + 0 - 1/16*y**4 - 1/20*y**5 + 2*y. Solve j(b) = 0 for b.
-2, -1, 1
Factor 6/19*c**5 + 6/19*c**3 + 0 - 14/19*c**4 - 4/19*c + 6/19*c**2.
2*c*(c - 1)**3*(3*c + 2)/19
Suppose 4 = -2*n, r - 7*n = -3*n + 10. Let c(j) be the third derivative of -1/30*j**5 + 0*j**4 + j**r + 0 + 0*j + 1/60*j**6 + 0*j**3. What is w in c(w) = 0?
0, 1
Let y(r) be the third derivative of -5*r**8/784 - r**7/70 + 3*r**6/280 + r**5/20 + r**4/28 + r**2. Determine x, given that y(x) = 0.
-1, -2/5, 0, 1
Factor -6 + 26*p**2 + 7*p**3 + 15*p**3 - 10*p**3 - 32*p.
2*(p - 1)*(p + 3)*(6*p + 1)
Let n(w) be the first derivative of w**7/840 + w**6/90 + w**5/24 + w**4/12 - 4*w**3/3 - 2. Let f(r) be the third derivative of n(r). Factor f(l).
(l + 1)**2*(l + 2)
Let z(n) be the third derivative of -3*n**2 + 0 + 0*n + 1/120*n**6 + 1/30*n**5 + 0*n**4 + 0*n**3. Factor z(r).
r**2*(r + 2)
Let m(b) be the second derivative of 0 - b + 0*b**4 - 1/55*b**5 + 1/11*b**2 - 1/165*b**6 + 2/33*b**3. Determine h, given that m(h) = 0.
-1, 1
Suppose 40 = 5*z - 0*b + 2*b, z + 2*b = 16. Factor z*v - 27 - v - 3*v**2 - 23*v.
-3*(v + 3)**2
Factor 2/3 + 4/9*m - 2/9*m**2.
-2*(m - 3)*(m + 1)/9
Let v(n) = 10*n**3 + 6*n**2 - 2*n + 2. Let s(p) = 10*p**3 + 7*p**2 - 3*p + 3. Let o(t) = -2*s(t) + 3*v(t). Solve o(f) = 0.
-2/5, 0
Find r such that -2/5*r**2 - 6/5*r**3 + 6/5*r - 2/5*r**4 + 4/5 = 0.
-2, -1, 1
Suppose -4*q + 8*q = 0. Let x(j) be the second derivative of j + 0*j**3 + q + 0*j**2 - 1/18*j**4 - 1/15*j**5. Find d such that x(d) = 0.
-1/2, 0
Suppose -5*a = -4*r + 180, -r - 2*a + 4 = -28. Let d be (-28)/(-90) - (-32)/r. Determine z, given that -2*z**2 + 4/9 + 26/9*z**3 - d*z**4 - 2/9*z = 0.
-2/5, 1
Let 4/9*i + 2/9 + 2/9*i**2 = 0. Calculate i.
-1
Let t(o) = 2*o**2 + 4*o - 4. Let z = -13 - -14. Let w(u) = -1. Let v(l) = z*t(l) - 4*w(l). Solve v(b) = 0.
-2, 0
Suppose 16 = 4*o - a, -2*o + 12 = -3*a - 6. Suppose 0 = -0*c + c - o. Solve 2*s**2 + 0*s**2 - 2*s - 2*s**4 + s**c + s**3 = 0.
-1, 0, 1
Let a(i) = i**4 + i**3 - i**2 + 3*i + 2. Let g(d) = 3*d**4 + 4*d**3 - 2*d**2 + 10*d + 6. Let o(x) = -21*a(x) + 6*g(x). Factor o(t).
-3*(t - 2)*(t - 1)*(t + 1)**2
Let y(o) = 3*o**4 + 8*o**3 + 18*o**2 + 16*o + 7. Let m(s) = 24*s**4 + 63*s**3 + 144*s**2 + 129*s + 57. Let l(u) = 4*m(u) - 33*y(u). Let l(v) = 0. What is v?
-1
Let v(g) = 3*g**5 + 2*g**4 - 5*g**3 + 8*g**2 - 6. Let u(x) = -4*x**5 - 3*x**4 + 6*x**3 - 9*x**2 + 7. Let w(c) = 6*u(c) + 7*v(c). Factor w(t).
-t**2*(t + 1)**2*(3*t - 2)
Let h(x) = x**2 + 7*x + 3. Let q be h(-7). Factor 4/5*o**2 + 0 + 2/5*o**q + 2/5*o.
2*o*(o + 1)**2/5
Suppose 5*v - c = 6*v - 3, -v + 6 = 2*c. Let i(o) be the second derivative of 0*o**2 + 0*o**3 - 1/6*o**4 + v + o. Factor i(d).
-2*d**2
Suppose 1 = 2*o - 3. Let x(u) be the third derivative of 0 + 1/120*u**5 + o*u**2 + 0*u + 1/48*u**4 + 0*u**3. Factor x(r).
r*(r + 1)/2
Let u(l) be the second derivative of l**10/30240 - l**9/7560 + l**8/6720 - l**4/6 - 3*l. Let i(p) be the third derivative of u(p). Find w such that i(w) = 0.
0, 1
Let b(j) = -j**2 - 6*j + 9. Let i be b(-7). Solve 0 + 2*m**2 + 0 - i*m**4 = 0 for m.
-1, 0, 1
Let i(u) be the first derivative of 5*u**4/4 + 5*u**3 + 5*u**2 + 7. Factor i(r).
5*r*(r + 1)*(r + 2)
Let c(u) = 4*u**2 + 40*u - 24. Let f(j) = j**2 + 13*j - 8. Let y(z) = 6*c(z) - 20*f(z). Factor y(k).
4*(k - 4)*(k - 1)
Let b(p) be the third derivative of -p**8/80640 + p**7/6720 - p**6/1440 - p**5/30 + 3*p**2. Let y(j) be the third derivative of b(j). Let y(a) = 0. What is a?
1, 2
Let f(u) be the third derivative of -1/60*u**6 + 2*u**2 - 1/60*u**5 + 0 + 0*u**3 + 1/30*u**7 + 0*u + 0*u**4 - 1/84*u**8. Factor f(m).
-m**2*(m - 1)**2*(4*m + 1)
Let k be 5 + (-2 - (-3 + -2)). Suppose 3*z - k*z = -15. Factor 0*o + 0*o**2 + 1/2*o**z + 0.
o**3/2
Suppose -16/3 + 80/3*h - 12*h**4 - 148/3*h**2 + 40*h**3 = 0. What is h?
2/3, 1
Let w(j) = 2*j - 5*j - 6 + j. Let u be w(-4). Solve 2*c + 6*c**3 - u*c**4 + 4*c**4 + 5*c**2 + c**2 = 0.
-1, 0
Suppose -7*l + 10 = -2*l. Let t(f) be the first derivative of 0*f**l + 2/15*f**3 + 1 + 0*f. Factor t(r).
2*r**2/5
Let x = 223 - 655/3. Let w(d) = -d**3 - 4*d**2 - d - 2. Let v be w(-4). Factor 10/3*b + 4/3 - x*b**v.
-2*(b - 1)*(7*b + 2)/3
Let q(v) be the third derivative of v**6/360 + v**5/24 + v**4/6 - 5*v**3/6 + v**2. Let b(t) be the first derivative of q(t). Factor b(w).
(w + 1)*(w + 4)
Let h = -7 + 12. Let s(a) = 8*a**4 - 24*a**3 - 4*a**2 + 12*a - 4. Let j(l) = 8*l**4 - 23*l**3 - 4*l**2 + 13*l - 4. Let o(q) = h*s(q) - 6*j(q). Solve o(w) = 0.
-1, 1/4, 1, 2
Factor 40/3*n - 4 - 100/9*n**2.
-4*(5*n - 3)**2/9
Let v(c) be the second derivative of 1/84*c**4 + 0*c**3 - 1/14*c**2 + 0 - 2*c. Determine s, given that v(s) = 0.
-1, 1
Let b(q) = 3*q**3 + 3*q**2 + 3*q. Let d(z) = 6*z**3 + 7*z**2 + 5*z. Let u(i) = 5*b(i) - 3*d(i). Factor u(n).
-3*n**2*(n + 2)
Let h(g) be the first derivative of -g**5/5 + g**3 - g**2 - 15. Factor h(o).
-o*(o - 1)**2*(o + 2)
Let q(p) = 