4*k**2 + 57. Factor u(z).
z*(z - 2)*(z + 2)**2
What is h in 3*h**3 - 3*h**5 - 4*h**3 - 2*h**3 - 18*h**4 + 12*h**4 = 0?
-1, 0
Let p(g) = -5*g**3 - 5*g. Let u(r) = 3*r**3 + 2*r. Let x = 7 - 9. Let n(k) = x*p(k) - 5*u(k). Factor n(s).
-5*s**3
Determine x, given that 0 - 8/11*x**2 - 2*x = 0.
-11/4, 0
Let p(v) be the first derivative of 5 + 0*v**3 + 2*v + 1/6*v**4 + 0*v**2 - 1/20*v**5. Let k(b) be the first derivative of p(b). Factor k(q).
-q**2*(q - 2)
Let l be 5 + (-11)/((-990)/84) - 21/35. Let -16/3*t - 4/3 - 8*t**2 - l*t**3 - 4/3*t**4 = 0. What is t?
-1
Let h(v) be the second derivative of -v**7/630 - v**6/60 - v**5/15 + v**4 + 41*v. Let x(f) be the third derivative of h(f). Factor x(m).
-4*(m + 1)*(m + 2)
Let b = -85 - -89. Suppose b*m + 72 = 22*m. Factor 2/13*c**3 + 2/13*c**m + 0 - 2/13*c**5 + 0*c - 2/13*c**2.
-2*c**2*(c - 1)**2*(c + 1)/13
Let d(c) = 4*c + 7. Let m(y) = -y**2 + 4*y + 8. Let g(q) = 6*d(q) - 5*m(q). Let k be g(-1). Factor 2/7*l**2 - 2/7*l**4 + 2/7*l - 2/7*l**k + 0.
-2*l*(l - 1)*(l + 1)**2/7
Let z(d) be the second derivative of 11*d - 1/12*d**4 + 7/9*d**3 + 0 - 4/3*d**2. Solve z(w) = 0.
2/3, 4
Let a = 935/4 + -467/2. Let w(i) be the second derivative of 0 + a*i**3 + 5/24*i**4 + 0*i**2 + 1/40*i**5 - 1/60*i**6 + 3*i. Factor w(t).
-t*(t - 3)*(t + 1)**2/2
Let b(u) be the third derivative of 2*u**7/105 - u**6/5 + 3*u**5/5 - 7*u**2 + 2*u. Suppose b(h) = 0. Calculate h.
0, 3
Let z = 51 - 18. Let q be (-3)/9 - ((-161)/z + 4). Factor -4/11*h + 0 - q*h**2 + 0*h**3 + 2/11*h**4.
2*h*(h - 2)*(h + 1)**2/11
Let u(g) = g**2 - 9*g - 50. Let f be u(13). Let p(y) be the second derivative of 2/3*y**3 - 1/5*y**5 + f*y**2 - 9*y - 1/3*y**4 + 0. Factor p(x).
-4*(x - 1)*(x + 1)**2
Let o(b) be the third derivative of b**5/270 - 10*b**4/27 + 400*b**3/27 - 9*b**2 - 15*b. Let o(s) = 0. Calculate s.
20
Let v(c) = 7*c**3 - 7*c**2 + 5*c - 1. Let o(n) = n**3 - n**2 - n - 1. Let f(j) = 2*o(j) + v(j). Let t(q) be the first derivative of f(q). Factor t(y).
3*(3*y - 1)**2
Factor 134/5 + 1/5*j**3 + 132/5*j**2 - 267/5*j.
(j - 1)**2*(j + 134)/5
Let x(n) be the second derivative of 0 + 25*n + 4/3*n**3 + 1/3*n**4 + 0*n**2. Determine a so that x(a) = 0.
-2, 0
Let s(o) = -3*o**4 + 5*o**3 + o**2 - 3*o. Let p(u) = 18*u**4 - 6*u - 3*u**4 + 7*u - 4*u**2 + 14*u - 26*u**3. Let d(m) = -2*p(m) - 11*s(m). Factor d(z).
3*z*(z - 1)**2*(z + 1)
Let x(l) = 2*l**2 + l - 2. Let j(q) = -26*q**2 - 1308*q - 8736. Let s(t) = j(t) - 12*x(t). Determine o so that s(o) = 0.
-66/5
Let b be ((-5 - 1) + 0)/(-2 + 0). Suppose -2*m = 2*f - 4*f - 6, f + b = -m. Factor 0 + 0*c + 1/2*c**3 + m*c**2.
c**3/2
Let s(r) be the second derivative of -4*r**9/189 + 2*r**8/105 + r**7/14 - r**6/10 - 3*r**3 + 29*r. Let x(l) be the second derivative of s(l). Factor x(w).
-4*w**2*(w + 1)*(4*w - 3)**2
Let t be (-9)/(-2) + 3/6. Let w(u) be the second derivative of 0 - 11/2*u**3 + 4*u**4 + 3*u**2 - 21/20*u**t + 6*u. Determine m so that w(m) = 0.
2/7, 1
Let n(u) be the second derivative of -2/3*u**4 - 33*u + 2*u**2 - 2/5*u**5 + 0 + 2/21*u**7 + 2/3*u**3 + 2/15*u**6. Factor n(h).
4*(h - 1)**2*(h + 1)**3
Let r be (-126)/98*16/(-36). Let q(u) = -u + 1. Let a be q(-1). Factor 20/7*x - r*x**a - 12/7 - 4/7*x**3.
-4*(x - 1)**2*(x + 3)/7
Determine w so that 0*w + 0 + 18/19*w**4 + 2/19*w**5 + 16/19*w**3 + 0*w**2 = 0.
-8, -1, 0
Let t(r) = -2*r**3 - 12*r**2 - 36*r. Let q(h) = -h. Let k(z) = -36*q(z) + 2*t(z). Factor k(g).
-4*g*(g + 3)**2
Let x(f) be the second derivative of 5/21*f**3 + 0 + 0*f**2 - 1/42*f**4 - 6*f. Factor x(b).
-2*b*(b - 5)/7
Suppose -4*t + 3*v + 22 = 3, 4*t = 5*v + 29. Let i(j) be the first derivative of j + t - j**2 + 1/3*j**3. Let i(s) = 0. Calculate s.
1
Let l(w) be the first derivative of 0*w**2 - 1/42*w**4 - 7*w + 1/21*w**3 - 12. Let a(x) be the first derivative of l(x). What is o in a(o) = 0?
0, 1
Let n(g) be the second derivative of 9*g**5/130 - 46*g**4/13 + 181*g**3/39 - 30*g**2/13 + 7*g - 14. Factor n(f).
2*(f - 30)*(3*f - 1)**2/13
Let s = -53 + 51. Let b be s/21 - 1702/(-483). Factor b*j - 48/7 - 3/7*j**2.
-3*(j - 4)**2/7
Let t = 6 + -1. Let l = t + -1. Factor -c**5 + 0*c**4 - l*c**4 - c**4 + 7*c**4 - c**3.
-c**3*(c - 1)**2
Let u be ((-15)/(-2))/(15/(-40)). Let n be 2*(-20)/12*18/u. Find q such that 2/3*q - 2/3*q**n - 1/3*q**4 + 1/3*q**2 + 0 = 0.
-2, -1, 0, 1
Let j = 422/7 + -60. Let l be (1 - 2 - 2) + (-20)/(-4). Factor 2/7*h**l + j*h - 4/7.
2*(h - 1)*(h + 2)/7
Let a = 165 - 162. Let n(v) be the second derivative of 31/42*v**4 - 2*v + 0 - 4/3*v**a + 9/10*v**5 + 4/7*v**2. What is i in n(i) = 0?
-1, 2/9, 2/7
Let j(c) be the third derivative of -c**6/120 - c**5/30 + c**4/12 - c**3/2 - 30*c**2. Let n be j(-3). Solve n*a**3 + 2/3*a**4 + 0*a**2 + 0 + 0*a = 0 for a.
0
Let x(t) be the first derivative of t**6 - 21*t**5/5 - 9*t**4 + 45*t**3 + 552. Factor x(y).
3*y**2*(y - 3)**2*(2*y + 5)
Let v(p) = -p**2 + 5*p + 9. Let y be v(7). Let b(z) = -6*z**2 - 5*z + 4. Let i(m) = 7*m**2 + 6*m - 4. Let n(x) = y*i(x) - 6*b(x). Factor n(h).
(h - 2)*(h + 2)
Let n(t) be the second derivative of -t**7/7560 + t**6/360 - t**5/40 - t**4 + 17*t. Let r(s) be the third derivative of n(s). Factor r(x).
-(x - 3)**2/3
Let m be (-286)/6 - (-5 - 13/(-3)). Let h = 47 + m. Factor -1/2*x**4 + 0*x + 0*x**2 + 1/2*x**5 + 0*x**3 + h.
x**4*(x - 1)/2
Let u(q) be the third derivative of -q**6/12 - 97*q**5/30 - 19*q**4/6 + 3*q**2 - 9*q. What is l in u(l) = 0?
-19, -2/5, 0
Suppose -b - 3*b + h = -716, -2*h = -8. Let a be (2/(-114))/((-30)/b). Find l such that 0 + 4/19*l**3 + 0*l - 2/19*l**2 - a*l**4 = 0.
0, 1
Let i(q) = -q**3 + 16*q**2 - 49*q + 56. Let m(u) = 4*u**3 - 65*u**2 + 195*u - 225. Let x(s) = -9*i(s) - 2*m(s). Determine p so that x(p) = 0.
2, 3, 9
Let y(i) be the second derivative of 0 - 11/10*i**6 + 2*i - i**4 + 0*i**2 - 9/5*i**5 + 0*i**3 - 3/14*i**7. Determine m so that y(m) = 0.
-2, -1, -2/3, 0
Let p be ((-15)/255)/(2/(-17)). Factor 1/2*i**4 + 1/2*i**3 - 1/2*i**2 + 0 - p*i.
i*(i - 1)*(i + 1)**2/2
Let i be 12/(-9) - 13/(-3). Find z such that -5/2*z**2 + 3/2*z**4 + 5/2*z + 1 - 5/2*z**i = 0.
-1, -1/3, 1, 2
Let c(x) = -52*x - 48. Let w be c(-1). Let -q**3 + 0 - 1/3*q**w + 1/3*q**5 - 2/3*q + 5/3*q**2 = 0. Calculate q.
-2, 0, 1
Let u = -24715/12 + 2061. Let s(m) be the first derivative of -4/3*m**2 - 7/9*m**3 - 1/2*m**6 + 1/5*m**5 + 4/3*m + 6 + u*m**4. Let s(p) = 0. Calculate p.
-1, 2/3, 1
Let t be 3 + 2*(-39)/(-6). Suppose 18 = 3*g + 3*v, 2*g - 4*g + t = 3*v. Factor -2*d**g + d**2 + 6*d**3 - 3*d**4 + d**5 - 3*d**3.
d**2*(d - 1)**3
Let v be (-6 - 564/16)*8/(-2). Let z be 506/v - (-4)/(-10). Factor -1/3*q**4 - z*q + 1/3*q**2 - 1/3*q**5 + 4/3 + 5/3*q**3.
-(q - 1)**3*(q + 2)**2/3
Let z = -125 - -122. Let w be z/(-24) - (-9)/24. Suppose 1/2*i**4 + 1/2*i**3 - w*i**2 + 0 - 1/2*i = 0. Calculate i.
-1, 0, 1
Let c(b) be the second derivative of -b**5/5 - 22*b**4/3 + 4*b + 17. Factor c(z).
-4*z**2*(z + 22)
Let x(d) = -3*d**2 - d. Let j(t) = -13*t**2 - 101*t + 170. Let i(f) = -j(f) + 6*x(f). Factor i(o).
-5*(o - 17)*(o - 2)
Let m(v) be the second derivative of v**5/100 + 7*v**4/30 - v**3/30 - 7*v**2/5 + 33*v - 2. Factor m(u).
(u - 1)*(u + 1)*(u + 14)/5
Let r(k) be the first derivative of -k**6/720 + k**5/12 - 25*k**4/12 + 6*k**3 - 6. Let m(n) be the third derivative of r(n). Suppose m(q) = 0. Calculate q.
10
Let i be (-9 - 1)*(-56)/140. Let t(m) = -m**3 + m**2 + m. Let p(v) = 6*v**2 - 4. Let a(h) = i*t(h) - 2*p(h). Factor a(c).
-4*(c - 1)*(c + 1)*(c + 2)
Factor -39*m**2 - 128 + 35*m**2 + 61*m + 53*m - 42*m.
-4*(m - 16)*(m - 2)
Let k(d) be the first derivative of -2*d**6/105 + 3*d**5/35 - 2*d**4/21 - 3*d - 1. Let q(j) be the first derivative of k(j). Find m, given that q(m) = 0.
0, 1, 2
Let t = -1/712 - -715/2136. Find b, given that -28/3*b**2 - b + t = 0.
-1/4, 1/7
Let g(x) be the first derivative of x**4/2 + 10*x**3/3 + 8*x**2 + 8*x - 163. Factor g(s).
2*(s + 1)*(s + 2)**2
Let u = -19 - -10. Let g = 12 + u. Factor t**3 - 4*t**3 + 5*t**3 - 5*t**g.
-3*t**3
Let h(s) be the second derivative of s**7/21 - 2*s**6/15 - 2*s**5/5 + s**4/3 + s**3 + 24*s + 1. Find l, given that h(l) = 0.
-1, 0, 1, 3
Let k(m) be the third derivative of m**6/480 - 11*m**5/120 + 41*m**4/96 - 5*m**3/6 - 308*m**2. Find h, given that k(h) = 0.
1, 20
Let i be 3/(-18)*3*-4. Solve 5*b - b