**6. What is z in f(z) = 0?
-1, 1, 3
Determine s, given that -124*s + 119*s**2 - 128 - 4*s**4 + 13*s**2 + 166*s**3 - 42*s**3 = 0.
-1, 1, 32
Let l(r) be the second derivative of 1/2*r**2 + 1/378*r**7 + 7/18*r**3 + 5/54*r**4 - 1/90*r**6 - 6*r - 1/30*r**5 + 0. Determine j, given that l(j) = 0.
-1, 3
Solve 5 + 2*j**2 - 6*j + 6*j + 3*j**2 + 10*j = 0.
-1
Let p = -45471 + 45473. Find y such that 0 + 6/13*y + 2/13*y**p = 0.
-3, 0
Let t(o) be the third derivative of o**9/15120 - o**8/1680 + o**5/20 - 3*o**2. Let c(g) be the third derivative of t(g). Solve c(v) = 0 for v.
0, 3
Factor -2400/11*n - 194/11*n**2 - 1152/11 - 4/11*n**3.
-2*(n + 24)**2*(2*n + 1)/11
Suppose 7*o - 21 + 84 = 0. Let n be (-32)/(-22*(-3)/o). Let -50/11*c**3 - n*c - 8/11 - 90/11*c**2 = 0. Calculate c.
-1, -2/5
Let p(k) = 4*k**2 - 70*k - 120. Let r(h) = -45*h**2 + 840*h + 1440. Let z(t) = -35*p(t) - 3*r(t). Factor z(c).
-5*(c + 2)*(c + 12)
Suppose -81 = -46*z - 2 + 59. Factor 0 + 26/3*r**2 + 4*r + 10/3*r**z.
2*r*(r + 2)*(5*r + 3)/3
Suppose -4*x + 6*l + 41 = l, -2*l = 10. Factor c**3 - 8*c**2 + 5*c - x*c + 10*c**2.
c*(c + 1)**2
Let n be (1 + 3)*2/4. Let r be (n/(-5))/((-18)/15). Find a, given that 0 - a**2 + 2/3*a + r*a**3 = 0.
0, 1, 2
Factor 293 - 142 - 93 + 44*p + 4*p**2 - 106.
4*(p - 1)*(p + 12)
Suppose -7 = -m + 5. Suppose -j + m = 2*j. Suppose 4*v**3 + 0*v**2 - j*v**2 - 3*v**4 + 2*v**2 + v**4 = 0. Calculate v.
0, 1
Let w(l) be the first derivative of -l**5/60 - l**4/36 + l**3/18 + l**2/6 - 12*l - 1. Let m(s) be the first derivative of w(s). Factor m(v).
-(v - 1)*(v + 1)**2/3
Let x(z) be the second derivative of z**7/77 + z**6/11 + 21*z**5/110 - z**4/22 - 8*z**3/11 - 12*z**2/11 + 2*z - 11. Suppose x(a) = 0. Calculate a.
-2, -1, 1
Let d(l) be the second derivative of -l**7/1890 + l**6/270 - 3*l**4/4 + 23*l. Let o(i) be the third derivative of d(i). Determine n so that o(n) = 0.
0, 2
Let t(k) be the first derivative of k**4/4 + 4*k**3/3 - 3*k - 8. Let n be t(-3). Factor 0*u**3 - 9*u**2 - u**3 - n*u**2 + 16*u**2.
-u**2*(u - 1)
Suppose 0 = -2*a - 4*w + 8, -5*a + 16 = -a + w. Find f, given that 3/5 + 12/5*f**5 - 3*f**2 + 3/5*f**3 - 3/5*f + 24/5*f**a = 0.
-1, 1/2
Factor -4*h**2 - 27 - 76*h - 28 + 4*h**2 - 20 - h**2.
-(h + 1)*(h + 75)
Let q = 317/1180 - -31/236. Factor -2/5 - 4/5*a**3 + 6/5*a + 6/5*a**4 - q*a**5 - 4/5*a**2.
-2*(a - 1)**4*(a + 1)/5
Let l(r) = -2*r**3 - 71*r**2 - 142*r - 64. Let o(t) = -14*t**3 - 496*t**2 - 994*t - 446. Let i(v) = 44*l(v) - 6*o(v). Factor i(k).
-4*(k + 1)**2*(k + 35)
Let q(s) be the first derivative of -s**5/30 + 25*s**4/24 - 97*s**3/9 + 95*s**2/3 + 100*s - 359. Factor q(v).
-(v - 10)**2*(v - 6)*(v + 1)/6
Suppose 2*v - 4*a - 2 = 0, -a - 3 = v - 1. Let x be (6/v)/(0 + -2). Determine g so that x*g**2 + 3*g**2 - 2 - 7*g**2 + 3*g = 0.
1, 2
Factor -12/5*h**2 + 13/5*h - 1/5.
-(h - 1)*(12*h - 1)/5
Suppose 0*l = -5*l + 25. Let f be 30/(-12)*(-30)/25 + 5 + -4. Determine m, given that -4/3*m - 2/3*m**f - 4/3*m**l - 2/3 + 4/3*m**2 + 8/3*m**3 = 0.
-1, -1/2, 1
Let l = -5/24 + 37/24. Let o = 2711 - 8129/3. Factor 1/3 + 2*y**2 + 1/3*y**4 - l*y - o*y**3.
(y - 1)**4/3
Let n(b) = -b**2 - b - 1. Let p(d) = 6*d**2 - 10*d - 49. Let z(q) = 5*n(q) + p(q). Factor z(g).
(g - 18)*(g + 3)
Let c(u) be the first derivative of 5*u**3/3 - 10*u**2 - 105*u - 120. Factor c(b).
5*(b - 7)*(b + 3)
Let z be (16/6)/((-2)/(-3)). Suppose -z = 5*c - 14. Solve 2*j**2 + c*j**2 + 7*j + 5*j + 8 + 0*j**2 = 0 for j.
-2, -1
Let j(u) = -14*u**2 + 432*u - 148. Let t(q) = -5*q**2 + 173*q - 59. Let b(v) = -5*j(v) + 12*t(v). Factor b(r).
2*(r - 8)*(5*r - 2)
Let j(h) be the second derivative of -h**6/120 + h**5/60 + h**4/12 - 5*h**2/2 - 6*h. Let z(s) be the first derivative of j(s). Factor z(w).
-w*(w - 2)*(w + 1)
Let j(m) be the first derivative of m**6/1200 - m**5/600 - m**4/48 - m**3/20 - 2*m**2 + 9. Let f(k) be the second derivative of j(k). Factor f(h).
(h - 3)*(h + 1)**2/10
Let o(h) be the first derivative of -h**6/45 - h**5/10 - h**4/6 - h**3/9 + 6*h + 1. Let s(l) be the first derivative of o(l). Factor s(a).
-2*a*(a + 1)**3/3
Let h(b) be the third derivative of -b**6/180 - 7*b**5/90 - 4*b**4/9 - 4*b**3/3 - 7*b**2 - 44. Factor h(j).
-2*(j + 2)**2*(j + 3)/3
Let c(v) = -v**3 - v**2 - v + 1. Let f(a) = 2*a**3 + 3*a**2 + 5*a - 5. Let j(k) = -5*c(k) - f(k). Find s such that j(s) = 0.
-2/3, 0
Determine o, given that 4*o**2 + 8432*o**4 + 5*o**2 - 8435*o**4 + 6*o = 0.
-1, 0, 2
Suppose -2*i - 353 = 5*u, 12*u + 288 = 8*u + 4*i. Let d = 75 + u. Suppose 27/7*v**3 - 3*v**d + 15/7*v**2 + 6/7 - 27/7*v = 0. Calculate v.
-1, 2/7, 1
Let w(d) = 156*d - 777. Let r be w(5). Factor 4 + 75*q**2 - 30*q - 125/2*q**r.
-(5*q - 2)**3/2
Let y be (-3 - -3) + (-2 - -4). Find k such that -16*k + 9*k**2 + 4*k**2 + 12 + 11*k**2 - 20*k**y = 0.
1, 3
Let q(k) = -k**5 + k**4 + k**3 - k**2 - k. Let r(n) = 3*n**5 + 16*n**4 - 41*n**3 + 22*n**2 + 4*n. Let x(d) = 12*q(d) + 3*r(d). Factor x(a).
-3*a**2*(a - 18)*(a - 1)**2
Let n = -32 - -34. Find u such that -32*u**3 - 32*u**4 + 51*u - 75*u**4 + 43*u**4 + 4 + 60*u**n - 19*u = 0.
-1, -1/4, 1
Factor -664*g - 27556 - 160*g**2 + 319*g**2 - 163*g**2.
-4*(g + 83)**2
Suppose -47*y = 9*y - 168. Determine n, given that 4/3*n - 4/9*n**y - 8/9*n**2 + 0 = 0.
-3, 0, 1
Let b(g) be the first derivative of -g**7/168 - g**6/72 + g**5/12 - 13*g**3/3 + 17. Let k(u) be the third derivative of b(u). Find o, given that k(o) = 0.
-2, 0, 1
Let f(w) = w + 5. Let l be f(-3). Let p be (-5 - -6)/(l/6). Factor 2*u**4 + 13*u**p + 2*u**2 - 13*u**3 + 4*u**3.
2*u**2*(u + 1)**2
Let s(n) be the first derivative of 2*n**3/3 + 2*n**2 + 10. Factor s(r).
2*r*(r + 2)
Factor 12*d**2 + 17710*d**4 - 6 - 4*d - 2 - 17714*d**4 + 4*d**3.
-4*(d - 2)*(d - 1)*(d + 1)**2
Let m be ((-975)/(-70) + -4 + -10)*-8. Find y such that -m*y**2 + 4/7 + 4/7*y**3 - 4/7*y = 0.
-1, 1
Factor 23*s + 8162*s**2 + 8162*s**2 - 163*s - 16329*s**2 + 300.
-5*(s - 2)*(s + 30)
Let t(x) be the third derivative of 0*x + 0*x**3 + 1/16*x**4 + 1/10*x**5 + 0 + 5*x**2. Factor t(g).
3*g*(4*g + 1)/2
Let g = 2977/6 - 1303/3. Let c = -181/3 + g. Factor 0 + 1/2*t**2 - c*t.
t*(t - 3)/2
Let t(v) be the second derivative of v**5/180 - 7*v**4/72 + 33*v**2/2 - 7*v. Let g(d) be the first derivative of t(d). Solve g(l) = 0 for l.
0, 7
Suppose -12*c + 11 = -37. Let j be c*((0 - 1) + 2). Let -5/7*m**2 - 9/7*m**3 + m**j + 9/7*m - 2/7 = 0. Calculate m.
-1, 2/7, 1
Let d = -51/101 - -557/303. Let 2*t**2 - 2/3*t - d = 0. Calculate t.
-2/3, 1
Let r(v) be the first derivative of -2*v**3/45 - 27*v**2/5 - 832. Solve r(y) = 0 for y.
-81, 0
Factor -44*r**2 - 15 - 3*r**4 + 3*r**4 - 12*r**3 - 5*r**4 - 44*r + 2*r**2 + 6*r**4.
(r - 15)*(r + 1)**3
Let j be 7 - (-968)/(-136) - (-115)/255. Determine q so that 0*q**2 - j + 2/3*q - 2/3*q**3 + 1/3*q**4 = 0.
-1, 1
Let n(t) be the second derivative of -t**8/4480 + t**7/504 - 11*t**6/1440 + t**5/60 - t**4 - 22*t. Let o(a) be the third derivative of n(a). Solve o(q) = 0.
1, 4/3
Let s be 11/(-55) - (-28)/(-10). Let q be (s/4)/(12/(-32)). Find z, given that -2 + 3*z - 4*z**q - 15*z - 6 = 0.
-2, -1
Find l such that -19*l**2 - 1 + 28 + 35*l**2 - 11*l**2 - 10*l**2 + 42*l = 0.
-3/5, 9
Let d(y) be the second derivative of -y**4/144 - 13*y**3/72 + 5*y**2/4 - 45*y + 1. Suppose d(s) = 0. What is s?
-15, 2
Let n(w) be the second derivative of -1/14*w**7 + 0*w**2 - 16*w + 0*w**4 + 0 + 3/10*w**5 + 1/10*w**6 + 0*w**3. Factor n(u).
-3*u**3*(u - 2)*(u + 1)
Solve -24 + 72*y**2 - 33/2*y**4 + 9/2*y**5 - 48*y - 6*y**3 = 0 for y.
-2, -1/3, 2
Let w(y) = 1252*y + 16278. Let h be w(-13). Factor 2/9*s**h - 2/3*s - 8/9.
2*(s - 4)*(s + 1)/9
Factor -5000/13 - 2/13*c**2 - 200/13*c.
-2*(c + 50)**2/13
Suppose -32*o = -227 + 131. What is x in 13/2*x**o + 0*x + x**2 + 11/2*x**4 + 0 = 0?
-1, -2/11, 0
Suppose 3*y = -2*i + 7*y + 816, 4*i - 3*y - 1612 = 0. Factor 400 + 3*s**2 + 4*s - i - 31*s.
3*s*(s - 9)
Let m = -297/14 + 1789/84. Let j(a) be the second derivative of 0 + 1/2*a**2 - 9*a + m*a**4 - 1/3*a**3. Factor j(k).
(k - 1)**2
Let s(j) be the first derivative of -2*j**5/75 - 17*j**4/30 - 32*j**3/45 - 585. Factor s(l).
-2*l**2*(l + 1)*(l + 16)/15
Find o such that 31/7*o + 1/7*o**3 - 15/7 - 17/7*o**2 = 0.
1, 15
Let r(z) = -35*z**5 - 63*z**4 - 18*z**3 + 16*z**2 + 6. Let w(f) = 105*f**5 + 190*f**4 +