e 0 + (-2)/13 + 1008/468. Factor -2/3*m**3 - 2/3*m**y - 2/9*m + 0 - 2/9*m**4.
-2*m*(m + 1)**3/9
Factor o + 7*o**3 - 4*o - 3*o**3 - o**3.
3*o*(o - 1)*(o + 1)
Let q(a) be the second derivative of 3*a**5/100 - 3*a**4/20 + 3*a**3/10 - 3*a**2/10 + 6*a. What is u in q(u) = 0?
1
Let q(z) = z + 10. Let l be q(-7). Suppose -10 = -l*x - 4. Factor 2/3*i - 1/3*i**x - 1/3.
-(i - 1)**2/3
Let z be (-6 + 3)*(-3 + 1). Let m(v) be the second derivative of 1/10*v**z + 0 + 1/2*v**3 - v**2 - 7/20*v**5 + 1/4*v**4 + 3*v. Factor m(q).
(q - 1)**3*(3*q + 2)
Let w(c) = 5*c**5 + 11*c**4 - 11*c**3 - 11*c**2 - 6*c + 6. Let u(v) = v**4 - v**3 - v**2 - v + 1. Let f(p) = 6*u(p) - w(p). Factor f(d).
-5*d**2*(d - 1)*(d + 1)**2
Determine m, given that 4*m**5 - m**2 + 0*m**5 - 8*m**5 + m**3 + 3*m**5 + m**4 = 0.
-1, 0, 1
Let x(z) be the first derivative of z**4/10 - z**2/5 - 1. Factor x(a).
2*a*(a - 1)*(a + 1)/5
Let i(w) = w**3 - 5*w**2 + 2*w - 2. Let s(n) = 3*n**3 - 21*n**2 + 9*n - 9. Let z(o) = -9*i(o) + 2*s(o). Suppose z(d) = 0. Calculate d.
0, 1
Let b(v) be the second derivative of -v**7/14 + v**6/10 + 3*v**5/10 - 2*v. Factor b(o).
-3*o**3*(o - 2)*(o + 1)
Let h = -33 - -36. Let f(l) be the third derivative of 1/120*l**6 + 0*l**5 + 0*l**4 + 0*l - l**2 + 0 + 0*l**h. Suppose f(g) = 0. What is g?
0
Suppose -3*f + 3*x = -6, -f + 2 = x + 4*x. Suppose f*a + 60 - 24 = 3*l, -3*a = -4*l + 49. Factor -b - 6 + 0*b + 2*b**3 - 5*b**3 + l*b.
-3*(b - 1)**2*(b + 2)
Let p(j) = -5*j**3 + 7*j**2 + 5*j - 7. Let z(d) = 5*d**3 - 7*d**2 - 4*d + 6. Let b(l) = -6*p(l) - 7*z(l). Factor b(u).
-u*(u - 1)*(5*u - 2)
Let r(p) = 2*p**2 + 3*p + 3. Let d = -2 + 0. Let m be r(d). Determine w so that -2/7 + 12/7*w**2 + 22/7*w**4 - 4*w**3 + 2/7*w - 6/7*w**m = 0.
-1/3, 1
Let v(g) = -4*g**2 + 6*g + 2. Let y(u) be the third derivative of u**3/6 + 2*u**2. Let k(z) = v(z) - 4*y(z). Factor k(x).
-2*(x - 1)*(2*x - 1)
Suppose 0 - 1/3*i + 2/9*i**2 = 0. Calculate i.
0, 3/2
Let o(n) be the first derivative of 4*n**3/3 - 4*n**2 + 4*n + 14. Solve o(q) = 0.
1
Let z = -2 - 0. Let b = 2 - z. Factor 2*u**b - u**3 + 0*u**4 - u**4.
u**3*(u - 1)
Let i be ((-8)/12)/2*-6. Let x(r) be the second derivative of -1/6*r**3 + 2*r + 1/20*r**5 + 0 + 1/12*r**4 - 1/2*r**i. Factor x(y).
(y - 1)*(y + 1)**2
Factor 2/3 + 20/3*h**2 + 10/3*h**4 + 20/3*h**3 + 2/3*h**5 + 10/3*h.
2*(h + 1)**5/3
Let h(k) be the third derivative of -1/112*k**8 - 5*k**2 + 1/28*k**7 + 0*k - 1/4*k**3 + 0 - 1/40*k**6 + 1/4*k**4 - 1/10*k**5. Determine j, given that h(j) = 0.
-1, 1/2, 1
Let i be (-6)/10 - (-93)/105. Factor -4/7*g + 6/7*g**2 + 0 - i*g**3.
-2*g*(g - 2)*(g - 1)/7
Let j(d) be the first derivative of -3 - 8/5*d**5 - 8/3*d**3 + 4/9*d + 73/18*d**4 - 1/3*d**2. Suppose j(k) = 0. Calculate k.
-2/9, 1/4, 1
Let q be 4/(-10) + (-28)/(-100). Let h = q + 37/100. Suppose 0 - j**4 - h*j**5 - 3/2*j**3 - 1/4*j - j**2 = 0. Calculate j.
-1, 0
Let z = 4 - 0. Let k(d) = d**4 + d**3 - d**2 - d. Let l(p) = -p**4 + p. Let w(c) = z*l(c) + 3*k(c). Solve w(t) = 0 for t.
0, 1
Let b(c) be the second derivative of -9*c**5/10 - c**4/3 + 3*c**3 + 2*c**2 - 57*c. Factor b(u).
-2*(u - 1)*(u + 1)*(9*u + 2)
Let a(q) be the third derivative of -4*q**5/105 - q**4/42 + 2*q**3/7 - 7*q**2. Solve a(g) = 0.
-1, 3/4
Let w = -13 + 17. Let s(m) be the first derivative of 4/3*m**3 + 0*m + 1 - 3/2*m**w + 0*m**2. Factor s(q).
-2*q**2*(3*q - 2)
Let m(g) = g**3 - 4*g**2 - 5*g + 3. Let s be m(5). Let a**3 + 0*a + 2*a - s*a**2 + 0*a**3 + 0*a**3 = 0. What is a?
0, 1, 2
Let k(w) be the third derivative of -w**10/1512 - w**9/1890 + 3*w**4/8 - 5*w**2. Let v(t) be the second derivative of k(t). Factor v(g).
-4*g**4*(5*g + 2)
Let r(n) be the first derivative of -1 + 1/10*n**4 - 1/5*n**2 + 2/15*n**3 - 2/5*n. Let r(k) = 0. Calculate k.
-1, 1
Let q(l) be the second derivative of -l**7/63 + l**6/9 - 3*l**5/10 + 7*l**4/18 - 2*l**3/9 + 3*l. Find o, given that q(o) = 0.
0, 1, 2
Let x(h) be the third derivative of 7*h**5/90 - h**4/4 + 2*h**3/9 + 18*h**2. Factor x(a).
2*(a - 1)*(7*a - 2)/3
Let w be (-9)/((-18)/(-8)) - -6. Let 1/3*i**w + 0 - 2/3*i = 0. Calculate i.
0, 2
Let s(h) = -h + 2. Let w be s(8). Let m be 56/55 - w/33. Factor m*d**2 - 9/5*d + 3/5.
3*(d - 1)*(2*d - 1)/5
Let q(n) be the first derivative of 0*n - 2/3*n**3 - n**2 + 1/2*n**4 + 2/5*n**5 + 2. Factor q(g).
2*g*(g - 1)*(g + 1)**2
Let b be (22/(-8) + 3)*8. Factor 6*w**3 + 5 + w**2 - 5 + b*w**4 + 3*w**2.
2*w**2*(w + 1)*(w + 2)
Let p(z) be the first derivative of 5*z**3/6 + z**2/2 - 2. Factor p(f).
f*(5*f + 2)/2
What is i in 4/9*i**2 - 2/9*i**5 - 2/3*i + 8/9*i**3 + 0*i**4 - 4/9 = 0?
-1, 1, 2
Let z(h) be the first derivative of 2*h**4/3 - 2*h**3/9 - 4*h**2/3 + 2*h/3 - 2. Factor z(x).
2*(x - 1)*(x + 1)*(4*x - 1)/3
Let k(s) = -2*s + s**2 - 5 + s + 8*s**2. Let t(f) = 5*f**2 - f - 3. Let l(w) = -3*k(w) + 5*t(w). Suppose l(c) = 0. What is c?
-1, 0
Let i(g) be the second derivative of g**5/180 + g**2 - 3*g. Let y(q) be the first derivative of i(q). Factor y(h).
h**2/3
Let g(t) be the second derivative of -3*t**5/20 + t**4/2 + 2*t**3 - t**2 + 5*t. Let x(i) be the first derivative of g(i). Suppose x(c) = 0. What is c?
-2/3, 2
Let v(o) be the first derivative of -3 + 1/10*o**6 + 0*o - 3/25*o**5 + 0*o**2 + 0*o**3 - 3/10*o**4. Let v(l) = 0. What is l?
-1, 0, 2
Let i = -43/26 + 28/13. Factor 0*d - i*d**2 + 1/2.
-(d - 1)*(d + 1)/2
Let w(q) = -q**2 - q - 1. Let x(a) = 2*a**2 + 23*a - 22. Let y(r) = -5*w(r) - x(r). Factor y(u).
3*(u - 3)**2
Let u be 3/(-14) + (-2)/(-4). Solve 2/7 - 4/7*v - u*v**4 + 4/7*v**3 + 0*v**2 = 0 for v.
-1, 1
Let t(l) = 3*l**5 + 3*l**4 - 9*l**3 - 7*l**2 + 10*l + 4. Let g(p) = -3*p**5 - 3*p**4 + 9*p**3 + 6*p**2 - 9*p - 3. Let u(z) = -4*g(z) - 3*t(z). Factor u(x).
3*x*(x - 1)**2*(x + 1)*(x + 2)
Suppose 2*q + 5*h = 20, 2*h + 2*h = -2*q + 16. Suppose 2*t - 2 = t + j, -5*t + 20 = 5*j. Factor q - 2/9*m - 2/9*m**2 + 4/9*m**t.
2*m*(m - 1)*(2*m + 1)/9
Let -16/7*m + 8*m**2 - 6/7*m**4 - 52/7*m**3 + 0 + 18/7*m**5 = 0. What is m?
-2, 0, 2/3, 1
Factor -8*w**3 + 10*w**3 - 3*w**4 + 0 + 3*w**2 + 0 - 2*w.
-w*(w - 1)*(w + 1)*(3*w - 2)
Let r(c) be the second derivative of 1/6*c**4 + 0 + 2*c - 1/3*c**3 - 1/15*c**6 + 1/10*c**5 + 0*c**2. Let r(q) = 0. What is q?
-1, 0, 1
Find f, given that 1 + 1/2*f - f**2 - 1/2*f**3 = 0.
-2, -1, 1
Let v(k) be the first derivative of 2/75*k**5 - 2/15*k**2 + 0*k**3 - 3 - 2/15*k + 1/15*k**4. Factor v(r).
2*(r - 1)*(r + 1)**3/15
Factor 383*t + 5 + 13 - 380*t - 3*t**2.
-3*(t - 3)*(t + 2)
Let g(w) be the first derivative of w**5/15 - w**4/4 + 2*w**2/3 - 7. Suppose g(i) = 0. Calculate i.
-1, 0, 2
Solve 8/5*m**3 - 4*m + 8/5 + 4/5*m**2 = 0 for m.
-2, 1/2, 1
Let i = 2/419 + 820/3771. Let g = 811/1764 + -3/196. Find n such that 2/9*n**4 + 0*n + g*n**3 + 0 + i*n**2 = 0.
-1, 0
Factor -1/2*u**3 + 0 - 1/2*u + u**2.
-u*(u - 1)**2/2
Let o(f) be the second derivative of -f**4/54 + 2*f**3/27 - f**2/9 + 20*f. Factor o(v).
-2*(v - 1)**2/9
Let f(g) be the first derivative of 2*g**3/21 - 3*g**2/7 + 4*g/7 - 10. What is a in f(a) = 0?
1, 2
Factor 6 - 5*j**2 - 3*j**2 + 15*j**3 + 3*j - 16*j**2.
3*(j - 1)**2*(5*j + 2)
Let o(b) = b**2 + 5*b + 4. Let z be o(-4). Let a = 4 + z. Determine v so that 0*v**4 - a*v**3 - 14*v**5 + 2*v**4 + 7*v**4 + 9*v**4 = 0.
0, 2/7, 1
Let d(v) be the second derivative of v**5/40 + 5*v**4/12 + 8*v**3/3 + 8*v**2 - 5*v - 6. Factor d(c).
(c + 2)*(c + 4)**2/2
Suppose 2*l - 9 = -l + a, 2*l + 4*a + 8 = 0. Let -8*o**3 - o + 7/2*o**4 + 11/2*o**l + 0 = 0. Calculate o.
0, 2/7, 1
Suppose -5*i = 2*j + 2, 5*i - i + 4*j = -4. Let 4*l**2 - 4/3*l + 5*l**3 + 4/3*l**4 + i = 0. Calculate l.
-2, 0, 1/4
Let i(m) = -6*m. Let s be i(-1). Suppose -5*y = -s*y + 2. Factor 2/7*f**3 + 0 + 2/7*f - 4/7*f**y.
2*f*(f - 1)**2/7
Let b(i) = i**2 + 6*i - 5. Let a be (8 - 1)*(2 - 3). Let x be b(a). Factor -1/2 - 1/4*q**x - 3/4*q.
-(q + 1)*(q + 2)/4
Let s(d) be the first derivative of d**3/6 + 11*d**2/16 + 3*d/4 + 25. Factor s(y).
(y + 2)*(4*y + 3)/8
Let j(s) be the first derivative of -1/3*s**3 + s**2 + 4 + 0*s. Factor j(d).
-d*(d - 2)
Suppose 0 = 9*b + 9*b - 54. Let o(x) be the first derivative of 2*x**3 + 0*x**4 + 0*x**2 - 3/5*x**5 - b - 3*x. Determine l, given that o(l) = 0.
-1, 1
Let x be -1*(11 + -2)/(-3). Determine f so that -x*f - 4*f - 7*f - 8 + 2*f - 4*f**2 = 0.
-2, -1
Let f(