o**2 + c = 0. Calculate o.
-1, 0, 1/4, 2
Suppose 5*v = -5*b - 5, -2*b + 5*v + 17 = -b. Factor -2*q - q**b + q**2 - q**2 - 1.
-(q + 1)**2
Let z(a) be the third derivative of -a**3 + 1/3*a**4 + 0 - 1/30*a**5 + 0*a - 2*a**2. Factor z(j).
-2*(j - 3)*(j - 1)
Let r(a) be the third derivative of a**5/120 + a**4/12 - 4*a**2 + a. Factor r(v).
v*(v + 4)/2
Factor 6*y**3 - y**3 - 7*y**3 - 2*y**3 + 4*y**2.
-4*y**2*(y - 1)
Factor -1/10*k**5 + 0*k + 1/10*k**3 + 1/10*k**2 + 0 - 1/10*k**4.
-k**2*(k - 1)*(k + 1)**2/10
Let q(p) be the first derivative of 169*p**6/3 - 156*p**5 + 277*p**4/2 - 40*p**3 + 4*p**2 + 32. Factor q(f).
2*f*(f - 1)**2*(13*f - 2)**2
Let y(b) be the second derivative of b**6/135 - b**5/90 - b**4/18 + 5*b**3/27 - 2*b**2/9 + 3*b. Factor y(z).
2*(z - 1)**3*(z + 2)/9
Let y(a) be the third derivative of -a**7/140 + 3*a**5/40 - a**4/8 + 11*a**2. Factor y(z).
-3*z*(z - 1)**2*(z + 2)/2
Let k(f) be the third derivative of 289*f**6/40 + 357*f**5/20 + 9*f**4 + 2*f**3 + 44*f**2. Factor k(a).
3*(a + 1)*(17*a + 2)**2
Suppose -11 = -w - 3*a, -4*a + 6 + 8 = w. Let i = -1 - -1. Factor -2*d**2 + 0*d + w*d + i*d + 0*d.
-2*d*(d - 1)
Let g(s) = -s**3 - 4*s**2 + s + 5. Let l be g(-4). Let b be ((-10)/14 - -1)/l. What is c in 4/7*c**3 + b*c**4 + 0*c + 0 + 2/7*c**2 = 0?
-1, 0
Solve 4/9*d - 5/9*d**2 + 0 + 1/9*d**3 = 0.
0, 1, 4
Factor -74*f**2 - 72 + 4*f**3 - 2*f**4 - 16*f**3 - 8*f**3 - 43*f - 77*f.
-2*(f + 2)**2*(f + 3)**2
Let n(z) = 29*z**4 - 33*z**3 + 4*z**2. Let s(f) = 88*f**4 - 99*f**3 + 11*f**2. Let t(o) = -7*n(o) + 2*s(o). Factor t(j).
-3*j**2*(j - 1)*(9*j - 2)
Let y(b) = -6*b**2 - 6*b + 4. Let f(g) = -g**2 - 1. Let x(j) = -4*f(j) + y(j). Let x(s) = 0. Calculate s.
-4, 1
Let h(x) be the first derivative of 50*x**6/3 - 23*x**5 - 95*x**4/4 + 125*x**3/3 - 5*x**2/2 - 10*x + 6. What is r in h(r) = 0?
-1, -1/4, 2/5, 1
Let z(s) = 39*s**3 - 63*s**2 + 15*s - 9. Suppose 0 = -c - 1 - 8. Let j(v) = -19*v**3 + 32*v**2 - 8*v + 4. Let r(n) = c*j(n) - 4*z(n). Factor r(d).
3*d*(d - 2)*(5*d - 2)
Let t(v) be the first derivative of -v**4/4 + v**3 - 3*v**2/2 + v + 12. Suppose t(z) = 0. What is z?
1
Let s(z) be the first derivative of -z**2 + 0*z + 1/3*z**4 - 4/3*z**3 - 1/30*z**5 - 3. Let a(x) be the second derivative of s(x). Suppose a(g) = 0. What is g?
2
Let a be (-29 - -14)*(-2)/6. Let g(o) be the second derivative of 0 - o + 0*o**3 + 0*o**4 + 0*o**2 + 0*o**6 - 1/42*o**7 + 1/20*o**a. Factor g(f).
-f**3*(f - 1)*(f + 1)
Let f(k) be the second derivative of 3*k**2 + k + 0 + k**4 - 3/20*k**5 - 5/2*k**3. Factor f(j).
-3*(j - 2)*(j - 1)**2
Suppose 8/3*q**2 - 2*q**3 - 2/3*q**5 + 0 - 8/3*q**4 + 8/3*q = 0. Calculate q.
-2, -1, 0, 1
What is u in 0 - 8/7*u**3 + 12/7*u**4 - 12/7*u**2 + 8/7*u = 0?
-1, 0, 2/3, 1
Let f(i) be the first derivative of -i**8/1176 - i**7/735 + i**2 + 3. Let m(l) be the second derivative of f(l). Factor m(q).
-2*q**4*(q + 1)/7
Let o(l) be the third derivative of -l**5/360 - l**4/36 + 11*l**2. Factor o(i).
-i*(i + 4)/6
Let g(s) = -3 - 4*s - 3*s**2 - s**2 + s**3 - 2 + 2. Let h be g(5). What is m in -4 + 0*m - 2*m**3 + 4 + 2*m + 2 - h*m**2 = 0?
-1, 1
Let g(i) = 3*i**2 - i + 7. Let k(y) = -y**2 - 3. Let q(b) = 2*g(b) + 5*k(b). Let w be q(3). Find m, given that -1/4*m**w + 1/4 + 0*m = 0.
-1, 1
Suppose 0*s + 4 = 4*s. Suppose -2 = -q - s. Let j(y) = y**3 + 1. Let a(n) = 4*n**3 - 2*n**2 + 2. Let t(c) = q*a(c) - 2*j(c). Factor t(f).
2*f**2*(f - 1)
Let v be 2*(-15)/6 + 3. Let h be (0 + (-1)/1)*v. Find j such that -1/2*j**3 + 1/2*j + 0*j**h + 0 = 0.
-1, 0, 1
Suppose -2*r - 15 = -7*r. Let y be r/6*-3*-2. Suppose -2*c**4 - c**3 + 0*c**y - 2 - 12*c**2 - 8*c - 7*c**3 = 0. Calculate c.
-1
Suppose 5*t - 232 = -207. What is n in 0*n**2 + 0 - n**3 - n**4 - 1/4*n**t + 0*n = 0?
-2, 0
Let j(y) be the second derivative of y**8/1680 + y**7/210 + y**6/90 + y**3/2 + y. Let u(b) be the second derivative of j(b). Solve u(h) = 0.
-2, 0
Let z(h) be the second derivative of -h**6/195 - h**5/130 + h**4/39 - 5*h. Let z(i) = 0. Calculate i.
-2, 0, 1
Factor 6*j + 5*j**2 - 4*j**2 - j**2 + 2*j**2 + 4.
2*(j + 1)*(j + 2)
Let f(o) be the third derivative of -o**6/60 - o**5/15 - 4*o**2. Factor f(i).
-2*i**2*(i + 2)
Suppose -2*c + 4*c = 6. Let r(p) be the second derivative of 0 - 1/20*p**5 + 0*p**c + 1/12*p**4 + 0*p**2 + 2*p. Factor r(o).
-o**2*(o - 1)
Let r(h) be the second derivative of -3*h + 0*h**2 - 1/24*h**4 + 0*h**3 + 1/60*h**6 + 0 + 0*h**5. Find s, given that r(s) = 0.
-1, 0, 1
Let k(t) be the third derivative of -t**5/150 + t**4/60 + 2*t**3/15 - 26*t**2. Factor k(n).
-2*(n - 2)*(n + 1)/5
Let l = 124 - 121. Let v(t) be the second derivative of 0 - 1/24*t**l + 1/16*t**4 - 2*t + 0*t**2. What is q in v(q) = 0?
0, 1/3
Let y be ((-6)/(-132))/((-3)/378). Let h = -197/44 - y. Factor 3/4*n**2 + 1/4*n - h*n**3 - 1/4 + 1/2*n**4.
(n - 1)**3*(2*n + 1)/4
Let j = -7 + 10. Let n(t) be the second derivative of t**4/2 - t**3/3 - t. Let s(i) = 2*i**2 - i. Let a(w) = j*n(w) - 8*s(w). Solve a(h) = 0 for h.
-1, 0
Let l(i) be the second derivative of 4/5*i**5 + 0 + 0*i**2 + 2/3*i**4 + 1/5*i**6 + 4*i + 0*i**3. Suppose l(n) = 0. What is n?
-2, -2/3, 0
Let j(t) be the third derivative of t**7/1050 + t**6/120 + 7*t**5/300 + t**4/40 + 33*t**2 + t. Factor j(n).
n*(n + 1)**2*(n + 3)/5
Let -24/17*s - 2/17*s**2 - 72/17 = 0. What is s?
-6
Let p(r) = -5*r**3 - 18*r**2 + 45*r - 22. Let b(f) = -15*f**3 - 55*f**2 + 135*f - 65. Let t(a) = -3*b(a) + 10*p(a). Suppose t(g) = 0. Calculate g.
-5, 1
Let u(z) = z**3 - z**2 - 1. Let g(o) = 3*o + 3 - 5*o + 3 - 2*o**2. Suppose -3*f - 2 = -8. Let w(k) = f*u(k) + g(k). Solve w(s) = 0.
-1, 1, 2
Let k be (-5)/4*37/(-3330). Let z(i) be the third derivative of 0 + 0*i + 0*i**3 + k*i**4 + i**2 - 1/180*i**5. Factor z(t).
-t*(t - 1)/3
Factor 4*m**2 + 4*m**3 - 7*m**3 + m**4 + 0*m**3 - m**2 - m.
m*(m - 1)**3
Find d, given that -5 + 10*d**2 - 15*d + 20*d**3 + 15 - 20*d**4 - 10*d + 5*d**5 = 0.
-1, 1, 2
Let y(k) be the first derivative of 7*k**6/2 - 27*k**5/5 - 57*k**4/4 + 41*k**3 - 36*k**2 + 12*k + 19. Let y(w) = 0. Calculate w.
-2, 2/7, 1
Factor -p**4 - 4 + 4*p - 14*p - 15*p**2 - 7*p**3 - 3*p.
-(p + 1)**3*(p + 4)
Suppose z - 1 = 1. Let r(b) be the first derivative of -1/6*b**3 + 1/10*b**5 + 0*b + 2 + 0*b**4 + 0*b**z. Factor r(l).
l**2*(l - 1)*(l + 1)/2
Find r, given that 0 - 1/3*r**2 + 0*r = 0.
0
Let z(c) be the second derivative of -c**6/180 - c**5/180 + c**4/18 + c**3/6 + c. Let d(a) be the second derivative of z(a). Determine l, given that d(l) = 0.
-1, 2/3
Let m(b) = b**2 + 10*b + 25. Let p be m(-5). Let -s**3 + s**4 + 0 + p*s - 1/3*s**5 + 1/3*s**2 = 0. Calculate s.
0, 1
Let p(q) = -5*q**2 - 11*q - 8. Let z(c) = -3*c**2 - 7*c - 5. Let i(d) = 5*p(d) - 8*z(d). Suppose i(x) = 0. Calculate x.
0, 1
Let 9/2*n**2 + 0 + 0*n + 3/2*n**3 = 0. Calculate n.
-3, 0
Let t(v) be the second derivative of -7*v**4/12 - 13*v**3/6 - v**2 + 4*v. Let w(s) = 6*s**2 + 12*s + 3. Let y(u) = -3*t(u) - 4*w(u). Solve y(n) = 0 for n.
-2, -1
Suppose -2 = -3*p - 5, 2*y = 5*p + 9. Factor 1/4*u**y - 1/4*u**4 + 1/4*u + 0 - 1/4*u**3.
-u*(u - 1)*(u + 1)**2/4
Let x(n) be the second derivative of -n**5/140 - n**4/28 + 3*n**3/14 - 5*n**2/14 + 18*n. Factor x(m).
-(m - 1)**2*(m + 5)/7
Let h(n) be the third derivative of -n**6/30 - n**5/15 - 4*n**2. Find x, given that h(x) = 0.
-1, 0
Let q(y) = y - 1. Let c be q(2). Let n(v) = -2 + 2 - c. Let g(p) = 2*p**2 - 4*p + 7. Let k(i) = -g(i) - 5*n(i). Factor k(o).
-2*(o - 1)**2
Let g(d) be the first derivative of 2*d**3/15 - 6*d**2/5 + 18*d/5 + 6. Factor g(a).
2*(a - 3)**2/5
Let k be 3*2/(-6) + 12/10. Let a(p) be the first derivative of 1/25*p**5 - 1/10*p**4 - 3 + k*p**2 - 1/5*p + 0*p**3. Factor a(i).
(i - 1)**3*(i + 1)/5
Let w(v) be the third derivative of v**8/112 - v**7/35 - v**6/20 + v**5/5 + v**4/8 - v**3 + 12*v**2. Determine u so that w(u) = 0.
-1, 1, 2
Let s = 6 - 2. Let y be (6/s)/(9/12). Determine c so that 19/2*c**2 + 45/2*c**4 + 6*c - 36*c**3 - y = 0.
-2/5, 1/3, 2/3, 1
Let q(l) be the third derivative of -7*l**5/30 + 3*l**4/4 - 2*l**3/3 + 31*l**2. Determine i so that q(i) = 0.
2/7, 1
Let q(n) be the second derivative of n**7/126 - n**6/18 + 5*n**5/36 - 5*n**4/36 + 9*n**2/2 - 9*n. Let a(y) be the first derivative of q(y). Factor a(u).
5*u*(u - 2)*(u - 1)**2/3
Let t(u) be the first derivat