d derivative of -b**3/6 + b**2/2 + 13*b. Let h(o) = 4*j(o) - 36*x(o). Determine p so that h(p) = 0.
-4, -1
Suppose -8 = 4*j - 20. Let v = 28 - 20. Factor 2 + v*s**2 - 7*s**3 - 10 + 4*s + 3*s**j.
-4*(s - 2)*(s - 1)*(s + 1)
Factor 23/2*s**4 - 2*s**2 - 3*s**5 + 0 + 0*s - 10*s**3.
-s**2*(s - 2)**2*(6*s + 1)/2
Let d(u) = -2*u**2 - u. Let l(p) = -8*p**2 + 28*p + 52. Let w(v) = -6*d(v) + l(v). Factor w(j).
2*(j + 2)*(2*j + 13)
Let i(l) be the third derivative of 5*l**8/336 - 17*l**7/42 + 10*l**6/3 - 16*l**5/3 + 7*l**2 + 12. Determine y so that i(y) = 0.
0, 1, 8
Find d, given that -100/11 - 80/11*d - 1/11*d**3 + 19/11*d**2 = 0.
-1, 10
Suppose -21/2*v - 5/4*v**4 - 41/8*v**3 - 18 + 22*v**2 + 3/8*v**5 = 0. What is v?
-4, -2/3, 2, 3
Let d(i) be the first derivative of -2*i**3/9 + 4*i**2/3 - 49. Factor d(u).
-2*u*(u - 4)/3
Let o(g) be the first derivative of -3*g**4/8 + 7*g**3 + 51*g**2 + 108*g - 230. What is l in o(l) = 0?
-2, 18
Suppose 0 = -2*j - 49 + 59. Solve 31*v**4 + 2*v**4 - 12*v + 9*v**3 - 39*v**2 - 12*v**j - 9*v**2 = 0.
-1, -1/4, 0, 2
Let g = -2238 + 17907/8. Factor 0 - g*d - 3/8*d**2.
-3*d*(d + 1)/8
Let 32*m**2 - 27 + 7 - 10*m**3 - 40 + 30*m**2 + 13*m**2 - 80*m = 0. Calculate m.
-1/2, 2, 6
Let a = 12 - 6. Factor -a*z + z**3 + 12*z - 17*z**2 - 5*z + 15*z**2.
z*(z - 1)**2
Determine t so that -4*t**5 - 112*t**4 + 1043 - 1240*t**2 + 310*t + 344*t + 309 + 596*t - 366*t - 880*t**3 = 0.
-13, -2, -1, 1
Let b be (189/24)/(333/444). Suppose -6*o + 0 + 24*o**2 - b*o**3 = 0. Calculate o.
0, 2/7, 2
Suppose 4*h - 14 = -3*h. Factor -3*k**4 - k + k**3 + 4*k**4 - 2*k**4 + k**h.
-k*(k - 1)**2*(k + 1)
Let a(c) be the first derivative of 0*c**2 - 2/3*c - 20 + 2/9*c**3. Factor a(d).
2*(d - 1)*(d + 1)/3
Suppose -12*w + 273 + 207 = 0. Let 20 + 13 - 5*g**4 - w*g**2 + 30*g - 11 + 23 - 30*g**3 = 0. Calculate g.
-3, -1, 1
Let h(i) = -24*i**2 - 4353*i + 4344. Let m(w) = 3*w**2 + 544*w - 543. Let g(p) = -4*h(p) - 33*m(p). Factor g(l).
-3*(l - 1)*(l + 181)
Let x = 27766 + -27764. Factor 6/5*t - 1/5*t**x + 0.
-t*(t - 6)/5
Let o(h) be the first derivative of h**3/2 + 18*h**2 - 243*h/2 + 1073. Factor o(g).
3*(g - 3)*(g + 27)/2
Let z(y) be the third derivative of -y**6/20 - 37*y**5/20 - 41*y**4/4 - 16*y**3 + y**2 - 243*y. Factor z(v).
-3*(v + 2)*(v + 16)*(2*v + 1)
Let w = 216/29 - 964/145. Solve 6/5*u + w - 6/5*u**3 - 2/5*u**2 - 2/5*u**4 = 0.
-2, -1, 1
Let x(f) be the first derivative of -7*f**6/3 + 102*f**5/5 - 63*f**4/2 - 182*f**3/3 + 30*f**2 + 27. Solve x(o) = 0 for o.
-1, 0, 2/7, 3, 5
Let m(t) be the second derivative of t**7/840 + t**4/3 + 23*t. Let r(p) be the third derivative of m(p). Factor r(l).
3*l**2
Let v(n) = -2*n**3 + 18*n**2 + 15*n - 4. Let z(u) = u**3 - 8*u**2 - 7*u + 2. Let s(r) = -4*v(r) - 9*z(r). Factor s(t).
-(t - 1)**2*(t + 2)
Suppose -4/7*u - 16/7*u**2 + 4/7*u**4 + 0 + 3/7*u**5 - 11/7*u**3 = 0. What is u?
-2, -1, -1/3, 0, 2
Determine q so that -q**4 + 0*q**4 + 2*q**2 - q**2 + 0*q**4 + q + 22*q**3 - 23*q**3 = 0.
-1, 0, 1
Let u(y) be the first derivative of 21*y**4/16 - 9*y**3/4 - 123*y**2/4 + 18*y + 53. Factor u(s).
3*(s - 4)*(s + 3)*(7*s - 2)/4
Factor 0 + 4/7*s**5 + 48/7*s**4 + 0*s**2 + 0*s + 144/7*s**3.
4*s**3*(s + 6)**2/7
Let u(h) = h - 2. Let m be u(4). Determine t so that -m*t**2 + 6*t**4 + 5*t**2 - 10*t**3 - t**2 + 18*t**5 = 0.
-1, 0, 1/3
Let a(f) = -f**4 - 7*f**3 + 4*f**2 - 2*f - 3. Let x(k) = -3*k**4 - 20*k**3 + 11*k**2 - 4*k - 8. Let d(n) = 8*a(n) - 3*x(n). Suppose d(u) = 0. What is u?
-4, -1, 0, 1
Let l be 14/2*(-304)/(-1596). Let a(f) be the first derivative of 13 - l*f**3 + 6*f**2 + 16*f. Factor a(m).
-4*(m - 4)*(m + 1)
Suppose 4 = 5*c + 3*b, -3*c = -8*c + 2*b + 14. Suppose -2*s - 3*s + 27 = -c*w, s + 3*w = 2. Factor -i**4 - 6*i**3 + i**3 + s*i**3 + i**5.
i**4*(i - 1)
Let y(s) = -11*s - 152. Let x be y(-14). Let a(u) be the first derivative of 1/7*u**4 - 1/21*u**6 + u**x + 4/35*u**5 - 11 - 4/7*u - 16/21*u**3. Factor a(j).
-2*(j - 1)**4*(j + 2)/7
Let w(n) = 2*n - 31. Let m be w(18). What is c in 15*c**4 - 16*c**4 + c**3 + m - 3 + 3*c**2 - 5*c = 0?
-2, 1
Let a(w) = 10*w**2 - w. Let u be a(1). Let r = -96 + 98. Suppose -2 - u*b - 3*b**r - 6*b**2 + 2*b**2 = 0. Calculate b.
-1, -2/7
Let b(n) be the first derivative of 0*n**2 + 1/16*n**4 - 3/80*n**5 - 7*n + 0*n**3 - 9. Let o(s) be the first derivative of b(s). Determine p so that o(p) = 0.
0, 1
Suppose -25*p - 222 = -99*p. Factor -9/2*z**2 - 1/2 + p*z.
-(3*z - 1)**2/2
Let j = 14877 - 14873. Solve 57/4*y**2 - 1 + 25/2*y**3 + j*y + 13/4*y**4 = 0 for y.
-2, -1, 2/13
Let r(m) be the first derivative of -m**4/18 - 32*m**3/27 + 35*m**2/9 - 4*m + 127. Let r(y) = 0. Calculate y.
-18, 1
Let n(u) be the third derivative of u**6/960 - 13*u**4/192 - u**3/4 - u**2. Factor n(g).
(g - 4)*(g + 1)*(g + 3)/8
Let f be (-2376)/(-14) + 5/5. Let a = 171 - f. Factor a*r**3 + 0 - 8/7*r - 6/7*r**2.
2*r*(r - 4)*(r + 1)/7
Let h(s) = 2*s**2 - 4*s - 5. Let g(u) = -u**2 + 5*u + 6. Let q(r) = 4*g(r) + 3*h(r). Let v(b) = 3*b**2 + 9*b + 10. Let n(f) = -4*q(f) + 3*v(f). Factor n(w).
(w - 6)*(w + 1)
Let j(l) = 5*l**3 + 6*l**2 - 13*l + 7. Let i be j(1). Solve -2/7*x - 2/7*x**4 - 2/7*x**i + 4/7*x**2 - 2/7 + 4/7*x**3 = 0.
-1, 1
Let r = 56 + -10. Let g = -17 + r. Factor -g*m**2 + 32*m + 18*m**3 - 8 - 20*m**2 + 7*m**2.
2*(m - 1)*(3*m - 2)**2
Let q = -3 + 8. Let r = 241 + -239. Let 20*a**3 + 52*a**r - 4 + 12 - 8*a**q + 8*a + 28*a - 12*a**4 = 0. Calculate a.
-1, -1/2, 2
Let a(f) be the first derivative of 0*f**2 - 5 + 1/12*f**4 + 0*f + 2/9*f**3 - 1/15*f**5. Determine k, given that a(k) = 0.
-1, 0, 2
Let m = -1 - 74. Let f be (-5 + (2 - 1))*m/180. Factor f*c - 1/3 - 4/3*c**2.
-(c - 1)*(4*c - 1)/3
Suppose -9*h - 1576 = -1576. Let w(c) be the third derivative of 1/12*c**5 + 12*c**2 - 1/12*c**4 + h + 0*c - 1/2*c**3. Factor w(k).
(k - 1)*(5*k + 3)
Let t be (-1081)/(-329) + 3/(-1). Factor -1/7*u**2 + t + 1/7*u.
-(u - 2)*(u + 1)/7
Let r(q) = -28*q**5 + 120*q**4 - 148*q**3 + 72*q**2 - 8*q. Let d(p) = -p**5 + p**2 - p. Let a(b) = 8*d(b) + r(b). Factor a(i).
-4*i*(i - 1)**2*(3*i - 2)**2
Solve 0 + 0*b - 11/3*b**2 + 4*b**3 - 1/3*b**4 = 0.
0, 1, 11
Let a(w) be the first derivative of w**6/2 + 6*w**5 + 9*w**4 - 72*w**3 + 102. Factor a(t).
3*t**2*(t - 2)*(t + 6)**2
Let r be 184/138 + (-10)/9. Let c = 8 - 6. Determine h so that 0 + r*h**c + 0*h = 0.
0
Let a(o) be the third derivative of o**7/525 + 7*o**6/300 + o**5/15 - 49*o**2 + 2. Factor a(r).
2*r**2*(r + 2)*(r + 5)/5
Determine n, given that 3*n + 76*n**3 + 89*n - 65*n**2 - 81*n**3 - 33*n + 91*n = 0.
-15, 0, 2
Factor -5/3*d**3 + 0 + 1/6*d**4 + 7/6*d**2 + 3*d.
d*(d - 9)*(d - 2)*(d + 1)/6
Let g(r) be the third derivative of 7*r**5/45 + r**4/6 - 8*r**3/9 + 21*r**2 + 2. Factor g(n).
4*(n + 1)*(7*n - 4)/3
Factor 2/9*y**3 - 4*y - 2/3*y**2 + 0.
2*y*(y - 6)*(y + 3)/9
Let a(z) = z**3 + z**2 - 2*z. Let d(l) = -2*l**4 + 30*l**3 + 12*l**2 - 40*l. Let p(y) = -44*a(y) + 2*d(y). What is c in p(c) = 0?
0, 1, 2
Let n(h) be the second derivative of 3*h**5/20 - 11*h**4/4 + 7*h**3/2 + 441*h**2/2 - 265*h. Determine c so that n(c) = 0.
-3, 7
Let o = -3 - -5. Suppose 0 = -5*a - o*j + 14, -a - 3*j + 6 = -j. Factor 2*c - 5*c**2 + 7*c**2 + a*c**3 + 2*c**2.
2*c*(c + 1)**2
Let b = -3830/7 + 11525/21. Let 4*y**4 + 11/3*y**3 + 8/3 - 26/3*y**2 - b*y**5 - 4*y = 0. What is y?
-1, 2/5, 2
Let l(f) be the first derivative of f**5/20 - 2*f**3/3 + f - 11. Let k(p) be the first derivative of l(p). Factor k(j).
j*(j - 2)*(j + 2)
Factor 0*c + 0 - 3/2*c**5 + 165/2*c**4 + 0*c**2 - 81*c**3.
-3*c**3*(c - 54)*(c - 1)/2
Suppose 26/3*h + 0 - 2/3*h**2 = 0. What is h?
0, 13
Let b = 37492 - 37492. Factor 0*x**2 + 6/11*x**4 + 0 - 6/11*x**3 + b*x.
6*x**3*(x - 1)/11
Let w(v) be the third derivative of -22*v**2 + 0*v - 5/3*v**3 + 1/6*v**5 + 0 - 1/24*v**6 + 5/24*v**4. Factor w(z).
-5*(z - 2)*(z - 1)*(z + 1)
Let x(q) be the second derivative of 0*q**2 + 5/4*q**5 + 1/6*q**6 + 0 + 5/4*q**4 - 15/2*q**3 + 5*q. Factor x(g).
5*g*(g - 1)*(g + 3)**2
Let g(o) = 5*o**4 - 110*o**3 - 175*o**2 + 5*o - 10. Let q(k) = -k**4 - k**3 + k**2 + k - 2. Let t(c) = g(c) - 5*q(c). Determine f, given that t(f) = 0.
-3/2, 0, 12
Let o(g) be the first derivative of -2*g**3/3 - 6*g**2 + 54*g + 147. Find n, given that o(n) = 0.
-9, 3
Let s(w) be the third derivative of w**7/840 + w**6/72