+ -1). Find z such that 6 - 69/2*z**k - 105/2*z**3 - 15/2*z**5 + 6*z - y*z**2 = 0.
-2, -1, 2/5
Determine j, given that -5*j**2 + 5/2*j**5 + 0*j + 0 - 10*j**4 + 25/2*j**3 = 0.
0, 1, 2
Let u(o) = o**2. Let v(k) = 2*k**3 + 82*k**2 + 1014*k + 4394. Let b be (-16)/(-48) - (-13)/(-3). Let q(z) = b*u(z) + v(z). Factor q(h).
2*(h + 13)**3
Let u(f) be the third derivative of 1/672*f**8 + 0*f**4 + 7*f**2 + 0*f**3 - 1/80*f**6 + 0*f + 0*f**7 + 0 + 1/60*f**5. Factor u(z).
z**2*(z - 1)**2*(z + 2)/2
Let n be ((-59 - -54)/(-24 + -1))/((-6)/(-45)). Solve n*k**5 + 1/2*k**3 - 4*k**4 - 2*k + 4*k**2 + 0 = 0.
-1, 0, 2/3, 1, 2
Let p(l) = l**4 - l**2 - l - 1. Let u(r) = 5*r**4 - 3*r**3 + 26*r**2 - 66*r + 26. Let n(c) = 6*p(c) - u(c). Factor n(z).
(z - 2)**2*(z - 1)*(z + 8)
Let r(s) be the third derivative of -s**5/48 + 5*s**4/8 + 46*s**2. Factor r(i).
-5*i*(i - 12)/4
Let y(s) be the first derivative of -1/4*s**2 + 0*s - 1/4*s**3 - 1/16*s**4 - 20. Factor y(h).
-h*(h + 1)*(h + 2)/4
Suppose 85/2*j - 30 + 5/2*j**3 - 25/4*j**4 + 325/4*j**2 = 0. What is j?
-3, -1, 2/5, 4
Suppose 11*m = 6*m + 20. Factor 30 - m*s**2 - 30 + 2*s - 6*s.
-4*s*(s + 1)
Suppose -5*z - 10 = -5*p, -11 = 4*z - 5*p + 1. Let l(o) be the second derivative of 1/18*o**4 + 0 + 0*o**z - 5*o - 1/9*o**3. Find a, given that l(a) = 0.
0, 1
Let w = -37 - -37. Suppose -2*a = -w*a - 40. Factor 35*k + a*k**2 + 5*k**3 - k**2 + 15 + 6*k**2.
5*(k + 1)**2*(k + 3)
Suppose s + 3*p = -2, -5*s + 5*p - 10 = -40. Let h be 6/s + 14/28. Factor w**5 + h*w**3 - 3*w**4 - 21 + 21.
w**3*(w - 2)*(w - 1)
Suppose 4*d - q = -3, 2*d - 4*q + 12 = -3*d. Let m be (-1 - d)/((-60)/40). Factor -8/3*b**5 + 0*b + 2*b**4 + 0*b**2 + m*b**3 + 0.
-2*b**3*(b - 1)*(4*b + 1)/3
Let n(w) be the first derivative of w**5/150 - w**4/20 + 2*w**3/15 + 9*w**2/2 + 16. Let o(v) be the second derivative of n(v). Factor o(j).
2*(j - 2)*(j - 1)/5
Let p be (5/(-10) - 4/4)*-2. Suppose -p*c = -5*i - 8*c + 15, 2*c = i - 6. Suppose 8/15*d - 2/5*d**3 + 0 + 8/15*d**i - 8/15*d**2 - 2/15*d**5 = 0. Calculate d.
-1, 0, 1, 2
Find p such that 1/4*p**2 - 21*p + 83/4 = 0.
1, 83
Let t = -458318/2691 + 360/299. Let v = 170 + t. Determine x, given that -4/9*x**3 + 8/9*x + v - 2/3*x**2 + 2/9*x**4 = 0.
-1, 2
Let w(u) = -4*u**3 + 16*u**2 - 4*u - 24. Let o(v) = 2*v**3 - 11*v**2 + 3*v + 16. Let f(p) = 8*o(p) + 5*w(p). Factor f(q).
-4*(q - 1)*(q + 1)*(q + 2)
Let h(b) be the first derivative of -19 + 0*b - 6/7*b**2 - 4/21*b**3. Let h(x) = 0. Calculate x.
-3, 0
Let v = -12 + 9. Let m = v - -3. Solve m*s + 2*s**3 + 2*s + 2*s**2 - s**2 - 5*s**2 = 0 for s.
0, 1
Let o(b) be the first derivative of -b**3/3 - 5*b**2/2 + 5*b + 4. Let k be o(-5). Factor k*g - 13*g + 7*g - 3*g**2.
-g*(3*g + 1)
Let d(l) be the third derivative of 0*l**4 - 1/315*l**7 - 1/45*l**5 - 1/60*l**6 + 0*l + 0*l**3 + 48*l**2 + 0. Solve d(s) = 0 for s.
-2, -1, 0
Let t(w) be the second derivative of -w**7/7 - 9*w**6/20 - 21*w**5/80 + 3*w**4/16 + 7*w. Suppose t(v) = 0. What is v?
-3/2, -1, 0, 1/4
Suppose -12 = -5*v + 3*u, -5*v - 117*u + 114*u + 18 = 0. Determine o, given that 3/2*o**2 + 3/4 - 3/8*o**v - 15/8*o = 0.
1, 2
Let h(x) be the third derivative of x**8/60480 - x**7/15120 + 8*x**5/15 + 14*x**2. Let r(l) be the third derivative of h(l). Factor r(s).
s*(s - 1)/3
Find u such that -54*u - 108 - 1/2*u**3 - 9*u**2 = 0.
-6
Let y = -653 + 658. Let i(f) be the second derivative of 1/42*f**7 + 2*f - 3/20*f**y - 5/12*f**4 + 0 + 0*f**2 + 1/30*f**6 - 1/3*f**3. Factor i(p).
p*(p - 2)*(p + 1)**3
Determine x so that 4226/5*x**3 + 396*x**2 + 242/5*x + 0 + 144*x**4 + 32/5*x**5 = 0.
-11, -1/4, 0
Let d(p) be the first derivative of 2*p**3/39 - 5*p**2/13 - 676. Factor d(f).
2*f*(f - 5)/13
Determine u, given that -470/13*u - 2/13*u**2 + 472/13 = 0.
-236, 1
Let c(j) = 35*j**2 + 56*j + 104. Let w(n) = -19*n**2 - 28*n - 52. Let o(q) = 6*c(q) + 11*w(q). Suppose o(b) = 0. Calculate b.
-26, -2
Let p be (-2)/3 + 10/6 + 0. Determine k, given that -3 - p + 13*k - 4*k**3 + k**2 + 3*k**2 - 9*k = 0.
-1, 1
Factor 8/5*b**3 - 2/5*b**4 - 2/5 - 12/5*b**2 + 8/5*b.
-2*(b - 1)**4/5
Let g(j) = 5*j**3 + 1. Let r(x) = 29*x**3 - 1428*x**2 + 169932*x - 6740631. Let y(m) = -5*g(m) + r(m). Factor y(h).
4*(h - 119)**3
Suppose 0 = -2*x + 10 + 28. Let r = 19 - x. Suppose -2/7*o**5 - 2/7*o**4 + 2/7*o**2 + 2/7*o**3 + r*o + 0 = 0. Calculate o.
-1, 0, 1
Let g(y) be the first derivative of 1/9*y**3 - 1/12*y**4 + 0*y - 1/15*y**5 + 4 + 1/6*y**2. Find m such that g(m) = 0.
-1, 0, 1
Suppose 0 = -2*k + 10 - 34. Let y = 18 + k. Factor -y*j**2 + 8*j**2 - 3*j**2.
-j**2
Let h(b) be the second derivative of -37/66*b**4 - 20/11*b**3 + 0 - 36/11*b**2 - 24*b - 1/165*b**6 - 1/11*b**5. Factor h(j).
-2*(j + 2)**2*(j + 3)**2/11
Determine m, given that -9/2*m**3 - 6*m - 1/2*m**4 + 0 - 10*m**2 = 0.
-6, -2, -1, 0
Let a = -4241 - -4241. Factor 1/3*t**4 + a*t**3 - 1/3*t**2 + 0 + 0*t.
t**2*(t - 1)*(t + 1)/3
Let s(q) = -q**2 + 7*q - 1. Let z be s(6). Let i + i**2 - z - 5*i**2 + 9*i - i**2 = 0. Calculate i.
1
Suppose 6*s = s + o + 7, 9 = 3*o. Suppose -231 = -4*g + g + s*y, 2*g = -2*y + 144. Factor -g*l**2 + 3*l**4 - 123*l**2 + 116*l - 30*l**4 - 24 + 135*l**3.
-(l - 3)*(3*l - 2)**3
Let w be 11/5 - (-20)/(-100). Suppose -2*j**w + 14 - j**3 - 14 - j = 0. Calculate j.
-1, 0
Let j be (-13)/(156/54)*7/(-30). Let f(s) be the first derivative of 1 + 6*s**2 + j*s**4 + 23/5*s**3 + 12/5*s. Determine y, given that f(y) = 0.
-2, -1, -2/7
Let a be 44/330*(-6)/(-4). Factor a*n**3 + 0*n**2 + 2/5 - 3/5*n.
(n - 1)**2*(n + 2)/5
Factor -2385*g**2 - 538*g**2 - 327*g**3 - 1584*g - 1306 - 5*g**4 - 5712*g - 742 - 2647*g**2.
-(g + 1)*(g + 32)**2*(5*g + 2)
Let i(b) be the second derivative of 0*b**3 + 4*b + 1/45*b**6 + 0*b**4 - 1/189*b**7 + 0 - 1/45*b**5 + 0*b**2. Factor i(n).
-2*n**3*(n - 2)*(n - 1)/9
Factor 4*h + 1/3*h**4 + 20/3*h**2 + 0 + 3*h**3.
h*(h + 1)*(h + 2)*(h + 6)/3
Let b(c) = -c**2 - 11*c + 17. Let d(l) = -3*l**2 - 5*l + 8. Let s(k) = k**2. Let j(w) = d(w) + 2*s(w). Let i(m) = 2*b(m) - 5*j(m). Determine q so that i(q) = 0.
-2, 1
Let v(l) be the second derivative of l**7/294 - 29*l**6/210 + 39*l**5/28 + 75*l**4/28 - 22*l. Solve v(t) = 0.
-1, 0, 15
Let b(f) be the third derivative of -f**6/20 + 32*f**5/3 + 107*f**4/12 + 212*f**2. Solve b(k) = 0 for k.
-1/3, 0, 107
Determine j, given that 2/5*j**4 + 4/15 - 34/15*j**2 + 26/15*j**3 + 2/5*j - 8/15*j**5 = 0.
-2, -1/4, 1
Let z(w) = -3*w**4 + 14*w**3 + 25*w**2 - 26*w - 15. Let n(m) = -m**4 + m**3 - 2*m**2 - 4*m + 1. Let d(t) = -3*n(t) + 3*z(t). Determine p so that d(p) = 0.
-2, -1/2, 1, 8
Determine a, given that -6*a**2 + 29/2*a + 1/2*a**3 - 9 = 0.
1, 2, 9
Let s(b) = -b**4 - b**3 - 1. Let f(y) = 35*y**4 + 35*y**3 - 15*y**2 - 25*y + 20. Let p = 4 + -5. Let a(v) = p*f(v) - 30*s(v). Factor a(c).
-5*(c - 2)*(c + 1)**3
Suppose 241 = 5*u + f, -32 = 4*u + 2*f - 226. Factor -3*v**4 + 13*v + 39*v**3 - 5*v - u*v**3 + 4*v.
-3*v*(v - 1)*(v + 2)**2
Let t(s) be the first derivative of -5*s**3/18 - 35*s**2/12 - 10*s - 77. What is m in t(m) = 0?
-4, -3
Let m = -1026 + 1028. Let x(p) be the first derivative of 10 + 2/3*p**3 + 0*p**2 - m*p. Factor x(d).
2*(d - 1)*(d + 1)
Let a be (-2)/6 - (-33)/18. Let s = 1289/2 - 643. What is y in 0*y + s - a*y**2 = 0?
-1, 1
Let t(j) = -110*j - j**2 - 6*j**2 + 102*j + 4*j**3 + 3. Let n(z) = 12*z**3 - 20*z**2 - 24*z + 8. Let v(i) = 3*n(i) - 8*t(i). Determine s so that v(s) = 0.
-1, 0, 2
Let y(w) be the second derivative of 35/6*w**3 + w + 6 + 11/4*w**5 + 5*w**2 - 25/3*w**4. Find x such that y(x) = 0.
-2/11, 1
Let q(l) = l. Let v(p) = 162 + 10*p**2 - 186 - 31*p - 21*p. Let z(a) = 4*q(a) - v(a). Factor z(f).
-2*(f - 6)*(5*f + 2)
Let k(b) be the first derivative of 8*b**5/125 + 839*b**4/50 + 7812*b**3/5 + 54292*b**2 - 27440*b + 188. Factor k(o).
2*(o + 70)**3*(4*o - 1)/25
Let y = 302 + -302. Let m(b) be the third derivative of 0 - 1/180*b**5 - 3*b**2 + 0*b**4 + 0*b + 1/360*b**6 + y*b**3. Determine d, given that m(d) = 0.
0, 1
Let x(i) = -6*i**3 + 44*i**2 - 101*i + 72. Let t(u) = u**3 - 2*u. Let p(y) = 6*t(y) + 3*x(y). Factor p(v).
-3*(v - 8)*(2*v - 3)**2
Let s be (-3)/(-4) - -5*(-4)/(-160)*-6. Determine v, given that 2/3*v**5 + 0 + 0*v + s*v**3 + 0*v**2 + 4/3*v**4 = 0.
-2, 0
Let n(f) be the third derivative of -f**8/480 - f**7/630 - 19*f**4/24 - 2*f**2. Let 