Factor -1 - 2*a - 3/4*a**k.
-(a + 2)*(3*a + 2)/4
What is c in 3*c**4 - 2*c**4 - 24 + 3*c**4 + 20*c**2 - 28*c**3 - 684*c + 712*c = 0?
-1, 1, 6
Let u = -25 + 36. Let g = 23/2 - u. Solve -g + 1/4*l + 1/4*l**2 = 0.
-2, 1
Let y(m) be the second derivative of m**7/10080 + m**6/1440 + m**4/12 + m. Let v(b) be the third derivative of y(b). Factor v(g).
g*(g + 2)/4
Let n(s) be the second derivative of -5*s**7/42 + s**6/6 + s**5/4 - 5*s**4/12 - s - 2. Factor n(c).
-5*c**2*(c - 1)**2*(c + 1)
Factor -4/9*w**3 + 20/9*w**2 - 8/3*w + 0.
-4*w*(w - 3)*(w - 2)/9
Let q = -190 - -575/3. Factor -1/3*r**3 - 4/3 - 8/3*r - q*r**2.
-(r + 1)*(r + 2)**2/3
Let r(j) = -2*j**5 + 4*j**4 + 6*j**3 - 12*j. Let l(h) = 2*h**5 - 3*h**4 - 7*h**3 + 11*h. Let t(f) = -4*l(f) - 3*r(f). Determine z, given that t(z) = 0.
-2, -1, 0, 1, 2
Let r(p) be the second derivative of -p**9/25200 - p**8/11200 + p**7/4200 + p**6/1200 + p**4/6 + 2*p. Let j(c) be the third derivative of r(c). Factor j(a).
-3*a*(a - 1)*(a + 1)**2/5
Let s(a) = -15*a**5 + 2*a**3 - 13*a. Let o(h) = 7*h**5 - h**3 + 6*h. Let b(v) = 13*o(v) + 6*s(v). Factor b(n).
n**3*(n - 1)*(n + 1)
Let -4/5 + 2/5*d**2 + 2/5*d = 0. What is d?
-2, 1
Let p(c) = -c**3 + 4*c**2 + 2*c + 1. Let r be p(4). Let l be (-18)/(-9) - r/5. Suppose 2/5 + 0*u**2 + 3/5*u - l*u**3 = 0. Calculate u.
-1, 2
Suppose 0 = 4*i + 3*x - x + 2, x = -5. Factor 6/7*n + 6/7*n**3 + 16/7*n**i - 4/7.
2*(n + 1)*(n + 2)*(3*n - 1)/7
Let m(d) be the third derivative of -1/10*d**5 + 0 - 1/20*d**6 - 1/12*d**4 + 0*d - 1/105*d**7 + 4*d**2 + 0*d**3. Factor m(u).
-2*u*(u + 1)**3
Let r = 7/15 - 2/15. Let u(s) be the third derivative of 1/4*s**4 - s**2 + r*s**3 - 3/10*s**5 + 0*s + 0 - 9/20*s**6. Let u(l) = 0. What is l?
-1/3, 1/3
Let t(g) = -g**3 + 3*g**2 + 8*g - 5. Let v(u) = -u**2 - u + 1. Let x(j) = t(j) + 5*v(j). Let x(l) = 0. Calculate l.
-3, 0, 1
Let v = 0 - -3. Find l such that l + 5*l**2 - v*l**2 - 3*l = 0.
0, 1
Let m be (6/18)/(2/(-12)). Let v be (6/(-14))/(3/m). Suppose -4/7*w + 0 - v*w**2 = 0. Calculate w.
-2, 0
Let f(m) = -m**2 - 13*m - 8. Let w be f(-12). Suppose o = w*o - 6. Solve -14/5*a**4 + 0 + 4/5*a**2 - o*a**3 + 0*a = 0.
-1, 0, 2/7
Let g(p) = -p**2 + p. Let v(o) = o**4 + 3*o**3 + 6*o**2 - 8*o - 2. Let w(f) = 5*g(f) + v(f). Suppose w(s) = 0. Calculate s.
-2, -1, 1
Solve -5*l**3 + 49*l**2 + 58*l**2 - 92*l**2 = 0 for l.
0, 3
Factor 50/11 + 2/11*g**2 + 20/11*g.
2*(g + 5)**2/11
Let h(u) be the third derivative of -u**8/100800 - u**7/12600 - u**6/3600 - u**5/30 + 2*u**2. Let v(j) be the third derivative of h(j). Factor v(t).
-(t + 1)**2/5
Let t = 29/105 + 2/35. Solve -1/3*d + 0 - 1/3*d**4 + t*d**2 + 1/3*d**3 = 0 for d.
-1, 0, 1
Suppose 2 = 5*l + 2. Let r(q) be the second derivative of 0 - 1/18*q**4 + 0*q**2 + l*q**3 - 2*q. Determine f so that r(f) = 0.
0
Suppose -9*u = -1 - 17. Solve 2/5 + 3/5*o + 1/5*o**u = 0.
-2, -1
Let l(i) be the first derivative of -5*i**4/2 - 4*i**3 - 3*i**2/5 + 4*i/5 - 2. Solve l(o) = 0 for o.
-1, -2/5, 1/5
Factor 73 + 308 + 84 + 3*b**2 - 90*b + 210.
3*(b - 15)**2
Let b(d) = -4*d**4 - 39*d**3 - 52*d**2 + 23*d + 61. Let p(s) = -s**4 - 10*s**3 - 13*s**2 + 6*s + 15. Let o(t) = -6*b(t) + 22*p(t). Solve o(q) = 0 for q.
-3, -2, 1
Determine o so that -9/2 - 5/4*o**5 - 41*o**2 - 93/4*o - 63/2*o**3 - 21/2*o**4 = 0.
-3, -1, -2/5
Let u(s) be the second derivative of -1/30*s**5 + 0*s**2 - s + 0*s**3 + 1/18*s**4 + 0. Suppose u(x) = 0. Calculate x.
0, 1
Solve 12*d + 86/3*d**2 - 10/3*d**3 + 0 = 0 for d.
-2/5, 0, 9
Let b(w) = -25*w**3 - 61*w**2 + 34*w. Let i(m) = -50*m**3 - 121*m**2 + 69*m. Let n(g) = -9*b(g) + 4*i(g). Factor n(s).
5*s*(s + 3)*(5*s - 2)
Factor -4 - j**2 + 3*j - j + 4.
-j*(j - 2)
Suppose 2*o + 0 - 4 = 0. Factor 2*r**2 + r**2 + r - 2*r**o.
r*(r + 1)
Let h(d) be the first derivative of -d**6/27 - 4*d**5/45 - d**4/18 + 20. Determine t, given that h(t) = 0.
-1, 0
Let g be (2 + 14/(-6))*-12. Find j, given that -2/9*j**2 - 2/3*j**g - 2/9*j**5 - 2/3*j**3 + 0 + 0*j = 0.
-1, 0
Let v(a) = a**2 - a - 4. Let q be v(-3). Suppose -q*u + 5*u = -9. Determine x, given that 1/4*x**5 + 3/4*x**u + 0 - 1/4*x**2 - 3/4*x**4 + 0*x = 0.
0, 1
Let h be (4/25)/(8/20). Let g = 327/5 + -65. Factor 2/5*o**2 + 2/5*o**5 - g*o**3 + 0*o + 0 - h*o**4.
2*o**2*(o - 1)**2*(o + 1)/5
Let d(o) be the third derivative of -o**5/60 - 5*o**4/24 - o**3/6 + 10*o**2. Let q be d(-4). Factor 2/5*c**q + 0 + 2/5*c**2 - 2/5*c**5 + 0*c - 2/5*c**4.
-2*c**2*(c - 1)*(c + 1)**2/5
Let j(u) = 4*u - 5. Let a be j(2). Factor -10/9*t**4 - 2*t**2 + 0 - 8/3*t**a - 4/9*t.
-2*t*(t + 1)**2*(5*t + 2)/9
Let l(z) = z - 3. Let j be l(8). Let o = 3 - 0. Factor 0*u + o*u**2 - j*u**2 + 0*u.
-2*u**2
Let d(p) = -p. Let l(n) = n**2 - n. Let v(u) = -5*d(u) + l(u). Factor v(o).
o*(o + 4)
Let u(k) be the second derivative of k**4/42 + 2*k**3/21 + 2*k. Factor u(l).
2*l*(l + 2)/7
Let s(v) = 18*v**2 + 20*v - 10. Let g(f) = -9*f**2 - 10*f + 5. Let u(d) = 5*g(d) + 2*s(d). Let w(y) = -y + 1. Let x(n) = 2*u(n) - 6*w(n). Factor x(o).
-2*(o + 1)*(9*o - 2)
Suppose -8 = -4*f - 0*f. Suppose 4*v = r - 0*r - 12, -5*r + 12 = -4*v. Factor r + 2/3*g + 4/3*g**f + 2/3*g**3.
2*g*(g + 1)**2/3
Let y(q) be the third derivative of -q**6/120 + 2*q**5/15 - 7*q**4/8 + 3*q**3 - 4*q**2 + 4*q. Factor y(h).
-(h - 3)**2*(h - 2)
Let q(y) be the second derivative of -25*y**4/18 - 10*y**3/9 - y**2/3 - 5*y. Factor q(b).
-2*(5*b + 1)**2/3
Let c(m) be the second derivative of 2*m**7/147 + 8*m**6/105 + 6*m**5/35 + 4*m**4/21 + 2*m**3/21 - 5*m. Solve c(b) = 0 for b.
-1, 0
Suppose 16*r + 844 - 908 = 0. Find m, given that 0 - 16/7*m - 12/7*m**3 + 24/7*m**2 + 2/7*m**r = 0.
0, 2
Let x(w) be the second derivative of -6*w + 0*w**2 - 5/6*w**4 - 2/3*w**3 + 0. Let x(u) = 0. Calculate u.
-2/5, 0
Let l(g) be the second derivative of g**6/30 - 3*g**5/20 + 2*g**3/3 - 9*g. Factor l(f).
f*(f - 2)**2*(f + 1)
Suppose -n - 2 + 3 = 0. Let k be n + (1*-3)/(-3). Factor 1 + 3*g**2 - 4*g**2 + 2*g**k - 2*g.
(g - 1)**2
Let b(k) be the third derivative of -k**6/6 - k**5/4 + 5*k**4/24 + 24*k**2. Factor b(q).
-5*q*(q + 1)*(4*q - 1)
Determine n, given that 0*n + 0 + 2/7*n**3 - 6/7*n**2 = 0.
0, 3
Let s be 9/54*-3*(-15 + -1). Find t, given that -106/5*t**3 - 96/5*t**2 - s*t**4 - 4/5 - 34/5*t = 0.
-1, -2/5, -1/4
Let w(q) be the third derivative of 1/240*q**6 + 0 + 0*q**7 + 0*q**3 + 1/180*q**5 + 0*q - 1/2016*q**8 + 10*q**2 + 0*q**4. Suppose w(k) = 0. Calculate k.
-1, 0, 2
Suppose -2*x + 3*s + 2*s = -33, -2*x = s - 3. Determine o, given that -2/7*o**3 + 0*o**2 + 0*o + 0 + 2/7*o**x = 0.
0, 1
Let q(k) be the first derivative of -k**6/8 + 3*k**5/5 - 15*k**4/16 + k**3/2 - 10. Factor q(p).
-3*p**2*(p - 2)*(p - 1)**2/4
Let y(w) be the first derivative of w**7/945 - w**6/540 + w**2/2 + 3. Let j(f) be the second derivative of y(f). Determine u so that j(u) = 0.
0, 1
Suppose 0 = -4*a + 4*s + 140, 5*s = -2*a + 3*s + 86. Let v be 6/a - 80/(-156). Factor v*w**2 + 0*w**3 + 4/9*w - 2/9*w**4 + 0.
-2*w*(w - 2)*(w + 1)**2/9
Let v(n) = n + 1. Let h(o) = -4*o**2 - 32*o - 28. Let d(f) = h(f) - 4*v(f). Solve d(l) = 0 for l.
-8, -1
Let t be (-1)/(-5) - (-78)/(-65). Let m be -1 - 2/(-1) - t. Suppose 16/3*w**3 - 32/3*w**4 + 2/3 + 14/3*w + 32/3*w**m - 32/3*w**5 = 0. Calculate w.
-1/2, 1
Let g(c) = 11*c**3 + 5*c**2 + 5*c + 5. Let o(x) = 39*x**3 + 18*x**2 + 18*x + 18. Let b(t) = -18*g(t) + 5*o(t). Let b(f) = 0. Calculate f.
0
Let t = -520 + 3646/7. Solve t*a**2 + 10/7*a + 2/7 - 8/7*a**4 - 10/7*a**3 = 0.
-1, -1/4, 1
Suppose 8*k - 23 = 9. Factor -2/5*c**2 + 0*c**3 + 0 + 0*c + 2/5*c**k.
2*c**2*(c - 1)*(c + 1)/5
Let d be (3 + -5)/((-4)/(-10)). Let q = -3 - d. Determine x, given that 0*x**2 + 5*x**2 - x**4 - 4*x**q = 0.
-1, 0, 1
Let i(f) be the third derivative of f**5/40 - f**3/4 + 2*f**2. Factor i(v).
3*(v - 1)*(v + 1)/2
Let n(r) = r**3 + 12*r**2 + 60*r + 46. Let b(f) = -f**2 - f - 1. Let t(z) = -6*b(z) + 2*n(z). Solve t(i) = 0 for i.
-7, -1
Let f = -615 - -615. Factor c**3 + 1/2*c**4 + 1/2*c**2 + f*c + 0.
c**2*(c + 1)**2/2
Suppose 7*g - 3*g + 4 = 4*t, -5*t + 4*g + 7 = 0. Factor -2*j**t + 0 + 1/2*j + 3/2*j**2.
-j*(j - 1)*(4*j + 1)/2
Factor k**5 + 4*k**3 - 2 + 0*k**2 - 5*k**2 + 3*k**2 + 4*k**4 - 5*k.
(k - 1)*(k + 1)**3*(k + 2)
Let i = -14 + 10. Let a = -2 - i. What is n in 0*n - 1/2*n**a + 0 = 0?
0
Suppose 0*j + 4*b - 8 = 4*j, -