 - 19*f**5 + 9*f**5 + 16*f**4 + 4 - 20*f**2 = 0.
-1, -2/5, 1
Factor 14*l**3 - 4*l + l - l - 10*l**2.
2*l*(l - 1)*(7*l + 2)
Let v(y) = -4*y**2 + 6*y - 11*y**2 - 10*y. Let m be 12*(0 - 1/(-2)). Let j(s) = -8*s**2 - 2*s. Let u(t) = m*v(t) - 11*j(t). Determine r, given that u(r) = 0.
-1, 0
Suppose 5*c - 2*h + 66 = 0, -c - 5*h = -3*h + 18. Let b = c - -16. Factor 0 - 1/2*d**4 - 1/2*d**3 + 1/2*d**b + 1/2*d.
-d*(d - 1)*(d + 1)**2/2
Let r be 6/(-27)*8 - (-1 + -1). Factor 2/9*x - r*x**2 + 4/9.
-2*(x - 2)*(x + 1)/9
Suppose -5*k + 66 = 2*y, k - 4*y + 5*y = 15. What is h in 13*h**2 - 3*h**3 - 31*h**2 + k*h**2 = 0?
-2, 0
What is d in 6/5 + 2/5*d**2 - 8/5*d = 0?
1, 3
Suppose 7 = 2*n - 3*z, 3*n + z = -z + 4. Factor 26/11*o**n - 24/11*o - 12/11*o**3 + 2/11*o**4 + 8/11.
2*(o - 2)**2*(o - 1)**2/11
Let i(h) = -h + 11. Let p be i(8). Suppose 2*x**5 + 2*x**2 - 3*x**p - 2*x**4 + 0*x**5 + x**3 = 0. Calculate x.
-1, 0, 1
Let x(g) be the first derivative of 2*g**5/5 + 2*g**4 + 2*g**3 - 10. Find n such that x(n) = 0.
-3, -1, 0
Let m = -4 - -7. Factor -m*o**2 + 3*o**2 - 3*o + 6*o**2 - 3*o**2.
3*o*(o - 1)
Factor -q**2 - 3*q**3 - 4*q**2 - 2*q**4 - q**3 + 3*q**2.
-2*q**2*(q + 1)**2
Let r be 36/(-30)*(-25)/165. Find o, given that 0 + 0*o + 6/11*o**3 + r*o**4 + 4/11*o**2 = 0.
-2, -1, 0
Suppose 0*q = 5*q. Let r be 17/36 - (7/(-4))/(-7). Factor r - 2/9*t**2 + q*t.
-2*(t - 1)*(t + 1)/9
Suppose 2*z - 2 = 0, 2*z - z + 9 = 2*b. Suppose -3*w + 9 = h - w, -5*h + b*w = 0. Factor 3*v**h + 2*v**2 + 0*v**2 - 5*v**3.
-2*v**2*(v - 1)
Let q(j) be the first derivative of j**5/20 + j**4/6 - j**3/6 - j**2 - 3*j - 6. Let y(s) be the first derivative of q(s). Factor y(o).
(o - 1)*(o + 1)*(o + 2)
Let r(u) be the third derivative of -8*u**7/105 + 7*u**6/30 + 14*u**5/15 + u**4/2 + 16*u**2. Factor r(b).
-4*b*(b - 3)*(b + 1)*(4*b + 1)
Determine o, given that 50/7*o**3 + 90/7*o**2 + 8/7 + 48/7*o = 0.
-1, -2/5
Let u(l) be the third derivative of -l**6/1260 - l**5/420 + l**4/42 - 7*l**3/6 - 6*l**2. Let w(r) be the first derivative of u(r). Factor w(i).
-2*(i - 1)*(i + 2)/7
Let h(k) be the first derivative of k**4/48 - k**3/8 + k**2/4 - 7*k + 5. Let f(u) be the first derivative of h(u). Factor f(g).
(g - 2)*(g - 1)/4
Let h = -8 + 9. Let p(w) = w**2 + 3*w**2 - 5*w**2 + 2*w - h. Let k(u) = -3*u**2 + 6*u - 3. Let r(z) = 6*k(z) - 17*p(z). Factor r(f).
-(f - 1)**2
Suppose 27*j - 35 = 19. Solve 13/3*z**2 + 4/3 + 4*z + 1/3*z**4 + j*z**3 = 0.
-2, -1
Let j(t) = -t**2 - 3*t + 2. Let o be j(-3). Suppose -9 + 1 = -2*m - 3*z, -3*z + 4 = m. Factor 0*f - 2/7*f**m + 2/7*f**o + 0 + 0*f**3.
-2*f**2*(f - 1)*(f + 1)/7
What is d in 75*d**2 + 4 + 10 + 6 - 34*d + 5*d**4 - 31*d - 35*d**3 = 0?
1, 4
Let a(d) be the third derivative of 11*d**5/20 - 13*d**4/8 + d**3 + 16*d**2. Factor a(n).
3*(n - 1)*(11*n - 2)
Let c(i) be the first derivative of -i**5 + 5*i**4 - 10*i**3 + 10*i**2 - 5*i + 21. Let c(x) = 0. What is x?
1
Let z = 55063/5 - 10958. Let n = 55 - z. Factor 2/5*r**3 + 0 + 0*r + n*r**4 + 0*r**2.
2*r**3*(r + 1)/5
Let t(p) be the second derivative of -6*p + 0*p**4 + 0 - 1/3*p**3 - 2/15*p**6 + 0*p**2 + 3/10*p**5. Let t(h) = 0. What is h?
-1/2, 0, 1
Let v(u) be the second derivative of -u**2 + 0 + 1/12*u**4 + 1/30*u**5 + 2*u - 2/3*u**3. Let o(w) be the first derivative of v(w). Factor o(t).
2*(t - 1)*(t + 2)
Suppose 3 = 3*a - 2*a, -4*k = 5*a - 31. Let c(b) be the first derivative of 2*b**k + 5 - 2/3*b**3 - 6/5*b**5 + 0*b + 0*b**2. Suppose c(m) = 0. What is m?
0, 1/3, 1
Let h(o) be the first derivative of 1/30*o**5 + 1/12*o**4 + 2*o**2 + 0*o - 2/3*o**3 + 2. Let r(y) be the second derivative of h(y). Solve r(s) = 0.
-2, 1
Suppose 4*q + 1 = 5*q. Let x be 3/q + 52/(-20). Find w, given that 0*w - x*w**2 + 2/5*w**3 + 0 = 0.
0, 1
Let q(m) = -m**5 - m**3 - m**2 - m - 1. Let y(a) = 6*a**5 - 4*a**3 + 10*a + 8. Let i(u) = -4*q(u) - y(u). Factor i(z).
-2*(z - 2)*(z - 1)*(z + 1)**3
Solve -3/7*p**3 - 9/7*p + 9/7*p**2 + 3/7 = 0 for p.
1
Let k be (-16)/48*12/(-20). Find n such that -1/5*n + k*n**2 - 2/5 = 0.
-1, 2
Let l(t) = -t**5 - t**4 - t**3 - t**2 + t - 1. Let a(v) = 102*v**5 + 102*v**4 - 60*v**3 - 87*v**2 - 36*v + 3. Let u(o) = a(o) + 6*l(o). Solve u(n) = 0 for n.
-1, -1/2, -1/4, 1
Suppose -3*m - 15 = -2*q, -2*q - 5*m - 6 = q. Solve -22 + w + 2*w + 22 - q*w**2 = 0 for w.
0, 1
Factor 0 + 4/9*m + 10/9*m**2 - 2/3*m**3.
-2*m*(m - 2)*(3*m + 1)/9
Let b(s) be the second derivative of 0*s**5 - 2*s + 1/15*s**4 + 0 + 1/105*s**7 + 0*s**2 - 2/75*s**6 - 1/15*s**3. Let b(g) = 0. What is g?
-1, 0, 1
Let h(l) be the second derivative of 1/24*l**4 + 0 + 2*l + 1/12*l**3 - 1/60*l**6 + 0*l**2 - 1/40*l**5. Solve h(y) = 0.
-1, 0, 1
Let a(j) be the first derivative of j**6/10 + 9*j**5/25 + 9*j**4/20 + j**3/5 - 8. Factor a(p).
3*p**2*(p + 1)**3/5
Let v(b) be the third derivative of b**7/70 + b**6/240 - b**5/60 + 6*b**2. Solve v(o) = 0 for o.
-2/3, 0, 1/2
Let s = 322/95 + -34/19. Let w = -3/83 + 181/415. Factor s*y + w*y**2 + 8/5.
2*(y + 2)**2/5
Let r(v) be the second derivative of 2*v**2 - 1/15*v**6 - v + 1/2*v**4 + 0 - 1/10*v**5 + 5/3*v**3. Factor r(f).
-2*(f - 2)*(f + 1)**3
Let o(y) be the second derivative of y**6/120 - y**5/20 + y**4/8 + 2*y**3/3 + 2*y. Let z(l) be the second derivative of o(l). Determine w, given that z(w) = 0.
1
Let p be (2 + 10/(-1))*-1. Let q be (p/50)/((-4)/(-10)). Find c such that -2/5*c**2 + q*c + 0 = 0.
0, 1
Let u(v) = v**3 + 5*v**2 + 2*v - 8. Let b be u(-4). Suppose -1/4*g**2 + 0*g**3 + b + 1/4*g**4 + 0*g = 0. Calculate g.
-1, 0, 1
Let d(h) be the first derivative of -h**4 - 28*h**3/3 + 16*h**2 - 31. Solve d(f) = 0 for f.
-8, 0, 1
Factor 1/2*y + 0 + 1/2*y**2.
y*(y + 1)/2
Let c = -922 - -6466/7. Factor -c*z**2 - 8/7*z - 2/7*z**4 - 2/7 - 8/7*z**3.
-2*(z + 1)**4/7
Let j(b) be the first derivative of b**6/120 - 3*b**5/40 + b**4/4 - b**3 + 4. Let q(n) be the third derivative of j(n). Factor q(r).
3*(r - 2)*(r - 1)
Let d be 0/((-5)/((-15)/6)). Let o(s) be the third derivative of d*s**3 + 0*s - 2*s**2 + 1/30*s**5 + 1/120*s**6 + 0 + 1/24*s**4. Find f such that o(f) = 0.
-1, 0
Let a(t) be the first derivative of t**6/60 - t**4/24 + 4*t - 3. Let w(m) be the first derivative of a(m). Factor w(p).
p**2*(p - 1)*(p + 1)/2
Let d(k) be the first derivative of -1/42*k**4 + 2*k - 2 + 1/70*k**5 + 1/7*k**2 - 1/21*k**3. Let b(y) be the first derivative of d(y). What is t in b(t) = 0?
-1, 1
Suppose -16 = 2*v + j + 4*j, -8 = 4*v - 2*j. Let d(b) = -2*b**2 + 5*b + 2. Let i(s) = s**2 - 7*s + 0*s**2 - 1 + 4*s. Let u(y) = v*d(y) - 5*i(y). Factor u(z).
(z - 1)*(z + 1)
Let q(i) be the second derivative of i**4/54 + 2*i**3/27 - 19*i. Factor q(a).
2*a*(a + 2)/9
Let v be (10/(-4))/((-4)/8). Let z(s) = -v*s**2 + s + 3 - 2*s**2 + 0*s**2. Let q(i) = -6*i**2 + 2. Let a(x) = 5*q(x) - 4*z(x). Let a(y) = 0. Calculate y.
-1
Let x(v) be the third derivative of -v**6/105 - v**5/35 - v**4/28 - v**3/42 + 4*v**2. Factor x(k).
-(2*k + 1)**3/7
Let i be 0 + (-84)/(-135) + (-6)/27. Factor 0 - i*o**2 + 0*o.
-2*o**2/5
Let u(r) be the third derivative of 0*r**3 - 1/30*r**5 - 3*r**2 + 0 - 1/24*r**4 + 0*r - 1/120*r**6. What is s in u(s) = 0?
-1, 0
Let i be (-2)/(-3) + 28/(-6). Let a be 1 + (i - 28/(-8)). Suppose a*x**2 + x + 0 = 0. What is x?
-2, 0
Suppose -8/7*s + 0 + 8/7*s**4 + 2/7*s**5 - 8/7*s**2 + 6/7*s**3 = 0. Calculate s.
-2, -1, 0, 1
Let s = 12107/3 - 4071. Let d = -35 - s. Let 1/3*k - d*k**2 + 2/3 = 0. What is k?
-1, 2
Let f = 41 - 41. Let d(a) be the third derivative of -1/90*a**5 + 0*a**3 - 1/36*a**4 + f + 0*a - 3*a**2. Factor d(p).
-2*p*(p + 1)/3
Suppose 0 = -3*d + 10 + 5, -5*d + 10 = -3*r. Suppose -5*j = m - 2*j + 4, -2*m = -r*j - 14. Factor -5*z**m - z**2 + 5*z**2 + 1.
-(z - 1)*(z + 1)
Let k(j) be the second derivative of j**4/18 + 2*j**3/9 - j**2 + 23*j. Suppose k(s) = 0. What is s?
-3, 1
Let q(t) be the second derivative of -3*t**5/20 - t**4/6 + t**2/2 - t. Let d be q(-1). Factor -4*i**3 - 1 + 2*i - 1 + d*i**5 + 2.
2*i*(i - 1)**2*(i + 1)**2
Let s = 59 + -57. Let m(w) be the third derivative of 0*w + 1/3*w**3 + 1/60*w**6 - 1/30*w**5 - s*w**2 + 0 - 1/12*w**4. What is v in m(v) = 0?
-1, 1
Let n(j) = -2*j**2 + 2*j. Let l(b) = -3*b**2 + 4*b. Let y(t) = -4*l(t) + 7*n(t). Let y(f) = 0. What is f?
-1, 0
Let m(s) = 2*s**2 - 9*s - 8. Let o be m(7). Let d be (o/(-6))/((-4)/6). 