(-32)/(-168). Let l(c) be the third derivative of 0*c**6 + 1/180*c**5 + 0*c**3 - b*c**7 - 4*c**2 + 0 + 0*c**4 + 0*c. Factor l(y).
-y**2*(y - 1)*(y + 1)/3
Find p, given that 8/7*p**4 - 2/7*p**5 + 0 + 22/7*p**3 + 12/7*p**2 + 0*p = 0.
-1, 0, 6
Let m(v) be the second derivative of 0 + 1/2*v**2 + v - 1/90*v**5 + 1/9*v**3 + 0*v**4. Let b(u) be the first derivative of m(u). Solve b(n) = 0.
-1, 1
Let w(q) be the first derivative of -1/2*q**2 + 16 + 0*q - q**4 + 5/3*q**3. Factor w(x).
-x*(x - 1)*(4*x - 1)
Suppose 4*s = -5*g + 14, -14 = -g + 5*s + 12. Solve -g*z + 8*z + 12*z**2 - 9*z + 4 - 9*z = 0.
1/3, 1
Let x be (-1 - -2) + 4 + -2. Suppose 4*n - 5*n + x = 0. Let 1/3*l**2 + l**n + l**4 + 1/3*l**5 + 0 + 0*l = 0. Calculate l.
-1, 0
Let a be (-6)/((-37)/((-14800)/(-225))). Determine g so that 8/3 + 6*g**2 + 26/3*g**3 - 26/3*g**4 - a*g + 2*g**5 = 0.
-1, 1/3, 1, 2
Suppose -5*n - 50 = 4*h + 275, -5*n - 325 = -4*h. Let z(s) = 26*s**2 - 15*s - 11. Let o(t) = 285*t**2 - 165*t - 120. Let b(r) = n*z(r) + 6*o(r). Factor b(u).
5*(u - 1)*(4*u + 1)
Suppose -1267*a - 502 = -1518*a. Factor -9/4 - 1/4*o**a + 3/2*o.
-(o - 3)**2/4
Suppose 0*v - 4*v + 0*v = 0. Let d(h) be the second derivative of v + 1/8*h**2 - h - 1/48*h**4 - 1/80*h**5 + 1/24*h**3. Solve d(k) = 0.
-1, 1
Let y be 1 - -1 - 22/12. Let c = 37/78 - y. Find m, given that -c*m**3 + 2/13*m**5 - 2/13*m**4 + 4/13*m**2 - 2/13 + 2/13*m = 0.
-1, 1
Let f(z) be the second derivative of -z**4/66 + 8*z**3/33 - 16*z**2/11 + 3*z + 15. Factor f(w).
-2*(w - 4)**2/11
Let n(u) = u**2 - 6*u - 10. Let q be n(8). Let x be (3/2)/((-9)/(-12)). Factor q*i**x - 9*i**3 + 9*i**2 - 3*i**5 - 12*i**2 + 9*i**4.
-3*i**2*(i - 1)**3
Suppose -12 - 15*s - 13*s**3 + 14 - 37*s**2 + 12*s**2 + 8*s**3 + 43 = 0. Calculate s.
-3, 1
Let d = -3715 - -48301/13. Determine k, given that 8/13*k - d - 2/13*k**2 = 0.
1, 3
Let h(p) be the first derivative of -p**4/14 + 2*p**3/3 - 171. Determine s so that h(s) = 0.
0, 7
Determine z, given that -20*z**3 + 19*z + 28*z + 25*z**2 + 5*z**4 - 57*z = 0.
0, 1, 2
Suppose -5*z = 3*x + 15, -3*x + 3 - 15 = 4*z. Suppose x = k - 3*a - 11, -3*k + a - 2 + 11 = 0. Suppose 6*t**k + 0*t**2 - 4*t**2 - 2*t = 0. Calculate t.
0, 1
Let s(n) be the second derivative of -n**5 + 5/42*n**7 + 0 + 0*n**2 + 0*n**3 - 2*n + 0*n**6 + 0*n**4. Factor s(l).
5*l**3*(l - 2)*(l + 2)
Let k be 90/27 + (-1)/3. Factor 3*y**2 - 4*y**4 + 12*y**3 + 4*y - 12*y**2 - k*y**2.
-4*y*(y - 1)**3
Factor -25 + g**5 - 19*g**3 - 7*g**3 - 487 + 640*g - 200*g**2 + 6*g**3 + 10*g**4.
(g - 2)**3*(g + 8)**2
Let o be (376/(-44) - -8)*(-4163)/(-3). Let h = -756 - o. Determine q, given that -h*q**2 + 0 - 6/11*q**3 + 4/11*q = 0.
-2, 0, 1/3
What is k in -18320 - 5625*k - 314*k**2 - 3*k**3 + 89*k**2 - 21340 - 7215 = 0?
-25
Determine r so that 0 - 4*r - 31/3*r**2 - 9*r**3 - 1/3*r**5 - 3*r**4 = 0.
-4, -3, -1, 0
Let -9/2*w + 0 + 3/2*w**3 - 3*w**2 = 0. Calculate w.
-1, 0, 3
Suppose 3*r - 9 = 18. Suppose r = 2*t - 4*c + 1, -3*t + 3*c + 9 = 0. Find n such that 1/3*n**3 + 0*n + 2/3*n**4 + 1/3*n**5 + 0 + 0*n**t = 0.
-1, 0
Let 15*u + 3*u**4 - 8 - 11*u**3 + 26 - 4*u**3 - 21*u**2 = 0. What is u?
-1, 1, 6
Factor 2680/3*d - 448900*d**2 + 300763000/3*d**3 - 2/3 - 25188901250/3*d**4.
-2*(335*d - 1)**4/3
Let g(o) be the second derivative of -16*o**7/77 - 8*o**6/15 + 29*o**5/110 + 14*o**4/33 + 4*o**3/33 + 3*o + 17. Find u such that g(u) = 0.
-2, -1/4, 0, 2/3
Suppose -14*s + 61 - 19 = 0. Let w(i) be the second derivative of -1/10*i**s + 1/60*i**4 + 5*i + 0 + 0*i**2. Solve w(y) = 0 for y.
0, 3
Find g, given that 3*g**4 + 3/4*g + 3/4*g**5 + 3*g**2 + 9/2*g**3 + 0 = 0.
-1, 0
Let l(h) be the third derivative of h**8/224 + h**7/28 - 7*h**6/40 + h**5/20 + 13*h**4/16 - 7*h**3/4 - h**2 - 4*h. Let l(s) = 0. What is s?
-7, -1, 1
Let x be 45/105*1 - 6/21. What is t in 0*t**2 - 2/7*t**3 + 1/7*t**5 + 0*t**4 + x*t + 0 = 0?
-1, 0, 1
Let v(q) = q**2 + q + 1. Let b(a) = 3*a**3 - 18*a - 24 - a**2 - 11*a**2 - 3*a. Let h(g) = b(g) + 18*v(g). Factor h(t).
3*(t - 1)*(t + 1)*(t + 2)
Let w = 104 - 101. Solve 0*c**3 + c**3 - 75*c + 45*c**2 - 125 - 6*c**w = 0 for c.
-1, 5
Let j(c) = 12*c**2 + 19*c + 7. Let f(n) be the first derivative of -5/2*n**2 - 2*n + 4 - n**3. Let a(y) = 22*f(y) + 6*j(y). Factor a(x).
2*(x + 1)*(3*x - 1)
Let o(k) be the second derivative of -4*k**4/27 + k**3 - k**2 + 7*k + 58. Factor o(t).
-2*(t - 3)*(8*t - 3)/9
Let j = 275/526 - 6/263. Find x, given that -9*x - 81/2 - j*x**2 = 0.
-9
Let w(x) be the third derivative of -x**5/210 - x**4/42 + x**3/7 + 4*x**2 + x. Determine t, given that w(t) = 0.
-3, 1
Let g(j) be the second derivative of -j**7/12600 + j**6/1800 + j**5/200 + 7*j**4/12 + 11*j. Let q(u) be the third derivative of g(u). Factor q(d).
-(d - 3)*(d + 1)/5
Let f(x) = x**3 + 12*x**2 + x + 13. Let t be f(-12). Let 6*d**2 + t + 10*d**2 + 7*d**2 - 25*d**2 + d**4 = 0. Calculate d.
-1, 1
Let b(r) be the second derivative of -49*r**6/6 + 315*r**5/4 + 730*r**4/3 + 210*r**3 + 80*r**2 - 10*r + 3. What is u in b(u) = 0?
-1, -2/7, 8
Let b(m) be the first derivative of -m**4/4 + m**3/3 - 55. Factor b(s).
-s**2*(s - 1)
Let b = 24 - -62. Let m = -427/5 + b. Factor -m*q**2 + 3/5 + 0*q.
-3*(q - 1)*(q + 1)/5
Factor 6*p**2 + 0 - 2/3*p.
2*p*(9*p - 1)/3
Suppose -4*l = 25 - 85. Suppose -4*u = d - 24, 0*u + 3*u = l. Solve 0 + 1/3*q + q**2 + 1/3*q**d + q**3 = 0.
-1, 0
Factor -82/11 + 2/11*x**2 + 80/11*x.
2*(x - 1)*(x + 41)/11
Let t(z) be the first derivative of -12 + 8*z - 6*z**2 + 4/3*z**3. Suppose t(h) = 0. What is h?
1, 2
Suppose 625*p - 630*p - 7*z = -62, z = -4*p + 22. Factor -2/17*r**5 - 12/17*r**p - 18/17*r**3 - 8/17*r**2 + 0 + 0*r.
-2*r**2*(r + 1)**2*(r + 4)/17
Suppose 2 = -5*i - 23, -5*i = -5*t + 550. Suppose 0 = 99*c - t*c. Determine a so that -2/13*a**2 + 4/13*a + c = 0.
0, 2
Let o(f) be the second derivative of f - 1/12*f**4 + 0*f**2 - 1/3*f**3 + 0. Find g, given that o(g) = 0.
-2, 0
Suppose 10/17*k**2 + 14/17*k - 4/17 - 8/17*k**3 = 0. Calculate k.
-1, 1/4, 2
Let g be (-6)/(132/238) - 6/33. Let o(d) = 8*d**3 - 2*d**2 + 11*d - 11. Let l(z) = 3*z**3 - z**2 + 4*z - 4. Let b(t) = g*l(t) + 4*o(t). Factor b(q).
-q**2*(q - 3)
What is d in -2*d**3 + 9*d**2 - 47*d**2 - 88*d - 2*d**3 - 14*d**2 = 0?
-11, -2, 0
Factor 21/2*u**3 + 25/2*u**4 + 3/2*u**2 + 0 + 9/2*u**5 - u.
u*(u + 1)**3*(9*u - 2)/2
Let v = -4597933/33 + 139318. Let t = v + 150/11. Factor 8/9 + t*i**2 - 14/9*i.
(i - 4)*(3*i - 2)/9
Let h(k) be the second derivative of -k**9/40320 - k**8/17920 + 3*k**4/4 + 2*k. Let f(a) be the third derivative of h(a). Solve f(t) = 0 for t.
-1, 0
Factor -30 - 25*n + 40*n**2 - 65*n**2 + 30*n**2.
5*(n - 6)*(n + 1)
Suppose -5*r + 61 = -3*x, 4*x - 2*x + 40 = 3*r. Let d be -4 + x/(-3) + 3/9. Let 0*w + 0 - 3/7*w**5 + 0*w**d + 0*w**3 + 3/7*w**4 = 0. Calculate w.
0, 1
Suppose -4*d + 7*d - 17*d + 40 + 159*d - 35*d**2 - 150 = 0. Calculate d.
1, 22/7
Let h(m) be the second derivative of 11*m + 1/18*m**3 + 0 + 0*m**2 + 1/126*m**7 + 1/10*m**5 - 2/45*m**6 - 1/9*m**4. Factor h(q).
q*(q - 1)**4/3
Let j = -22 + 26. Let l(n) = 2*n - 3. Let i be l(j). Let 8/11*v**2 + 0 - 6/11*v**4 + 0*v**3 + 2/11*v**i + 0*v = 0. What is v?
-1, 0, 2
Let a be (-1104)/920*(-2)/(-1 + 5). Suppose -3*r = -p - 7, -5*r + 31 = 3*p + 10. Factor -v + 1/5*v**r - a*v**2 - 2/5 + 1/5*v**4.
(v - 2)*(v + 1)**3/5
Suppose 0 = 4*a + 10 + 6. Let y = a + 4. Factor 4*w + y*w**2 - 2*w**2 - 8*w.
-2*w*(w + 2)
Let u(h) be the second derivative of 0*h**6 + 0 - 1/15*h**3 - 14*h + 0*h**4 + 1/25*h**5 - 1/105*h**7 + 0*h**2. Solve u(n) = 0.
-1, 0, 1
Let c(r) be the second derivative of 3*r**5/5 - 13*r**4/6 - 16*r**3/3 + 3*r**2 + 4*r + 10. Factor c(t).
2*(t - 3)*(t + 1)*(6*t - 1)
What is k in -3*k**3 + 6*k - 24 - 430*k**4 + 427*k**4 + 6*k + 18*k**2 = 0?
-2, 1, 2
Let j(n) = -125*n + 3002. Let y be j(24). Solve -16/5*m + 16/5 + 4/5*m**y = 0 for m.
2
Let t(x) = -4*x**3 - 12*x**2. Let y(o) = 3*o**3 + 12*o**2 + 1. Let s = 7 + -12. Let q(h) = s*t(h) - 4*y(h). Solve q(w) = 0 for w.
-1, 1/2
Let s(n) = 9*n**4 - 20*n**3 + 7*n**2 - 4*n. Let w(g) = 10*g**4 - 20*g**3 + 5*g**2 - 5*g. Let j(y) = -5*s(y) + 4*w(y). Solve j(b) = 0.
0, 1, 3
Factor 0 - 1/7*f**3 - 4/7*f + 4/7*f**2.
-f*(f - 2)**2/7
Suppose 3*y - 3 = c, -11*c = -10*c - 4*y + 4. Let z(w) be the first derivative of c*w + 1/3*w**5 + 1/18*w**6 + 7/9*w