 of -m**4/18 - 142*m**3/27 + 296*m**2/9 - 200*m/3 - 1042. Factor l(s).
-2*(s - 2)**2*(s + 75)/9
Let h = 427 - 422. Let g(v) = -5*v**2 - 160*v + 5. Let u(q) = -5*q**2 - 163*q + 4. Let m(p) = h*u(p) - 4*g(p). Find x, given that m(x) = 0.
-35, 0
Suppose -5*x = -4*b + 36, -5*x - 16 = 4. Factor -74*v**3 + 3*v**b - 97*v**2 - 36*v - 40*v**3 + 18*v**4 + 15*v**3 - 59*v**2.
3*v*(v - 6)*(v + 1)*(7*v + 2)
Factor 4*n**2 + 0*n**2 - 3*n**2 + 3*n**2 + 24*n - 3*n**2.
n*(n + 24)
Let m(d) be the third derivative of d**6/540 - 67*d**5/45 + 1111*d**4/3 + 81608*d**3/27 - 3*d**2 + 7*d + 78. Determine u, given that m(u) = 0.
-2, 202
Factor -149/2*a - 1/4*a**2 - 22201/4.
-(a + 149)**2/4
Let r(w) be the second derivative of -w**5/4 - 610*w**4/3 - 2435*w**3/6 - 3947*w. Factor r(f).
-5*f*(f + 1)*(f + 487)
Suppose -6*n - 3*n = n. Let i be (-4)/2 - -4 - n. Factor k - 5*k - 4*k**3 - 27*k**i + 35*k**2.
-4*k*(k - 1)**2
Let j = 1282 - 6402/5. Let q(v) be the first derivative of 5/2*v**4 - 4/3*v**3 - j*v**5 - 2 + 1/3*v**6 + 0*v**2 + 0*v. Factor q(n).
2*n**2*(n - 2)*(n - 1)**2
Let r = 103316/819 - 884/7. Let j = 10/117 - r. Factor 4/9 + 10/9*v + 2/3*v**2 - j*v**4 - 2/9*v**3.
-2*(v - 2)*(v + 1)**3/9
Factor 42875 + 61*z**3 + z**4 + 91*z**3 + 3177*z**2 + 46550*z - 46*z**3 + 603*z**2.
(z + 1)*(z + 35)**3
Let h(z) be the first derivative of 0*z**2 - 11/1620*z**6 + 0*z + 1/270*z**5 - 9*z**3 + 0*z**4 - 39. Let f(p) be the third derivative of h(p). Factor f(c).
-2*c*(11*c - 2)/9
Let x(d) be the second derivative of -d**6/40 + 9*d**5/20 - 3*d**4 + 10*d**3 - 17*d**2 - 2*d + 6. Let o(q) be the first derivative of x(q). Factor o(m).
-3*(m - 5)*(m - 2)**2
Let r(u) be the first derivative of -5*u**5/2 + 2995*u**4/32 + 1073*u**3/8 + 139*u**2/2 + 31*u/2 + 794. Determine g, given that r(g) = 0.
-2/5, -1/4, 31
Let v = -474107 + 4267123/9. Factor -32/9*r**3 + v*r**2 + 0 + 2/9*r**4 - 256/9*r.
2*r*(r - 8)*(r - 4)**2/9
Suppose 17833 = 18*a - a. Suppose -1045*c = -a*c. Factor 2/5*m**2 + c*m**3 + 0 - 3/10*m**4 - 1/10*m**5 + 0*m.
-m**2*(m - 1)*(m + 2)**2/10
Let f = 300 + -298. Factor -1638*w**f - 3*w**4 + 8232 + 3535*w - 97*w - 38*w**3 + 161*w**3 + 3030*w.
-3*(w - 14)**3*(w + 1)
Suppose 4*h = -b + 32, 1070*h - 2 = 1072*h - b. Suppose 35/3*o - h + 5/3*o**3 - 25/3*o**2 = 0. Calculate o.
1, 3
Let n be (19/(-38) - 408/(-16))/(-1 + (-34)/(-4)). Factor -n - 7/3*q - 1/3*q**2.
-(q + 2)*(q + 5)/3
Let m(n) = n**3 + 12*n**2 - 15*n + 2. Let f be m(-13). Suppose 0 = q + 6*q - f. What is g in -g**3 + 12*g**2 - 15*g**3 - 228 + 6*g**q + 226 = 0?
-1/3, 1
Determine o so that 662/11*o + 658/11*o**2 - 60 + 2/11*o**4 - 662/11*o**3 = 0.
-1, 1, 330
Let 4*n**2 - 6*n**3 + 76*n + 58*n**3 - 4*n**4 - 128*n**3 = 0. Calculate n.
-19, -1, 0, 1
Let u(q) be the first derivative of -4*q**5/5 - 83*q**4 + 1372*q**3/3 - 866*q**2 + 696*q + 1047. Factor u(p).
-4*(p - 2)*(p - 1)**2*(p + 87)
Let d = -80710 + 80713. Factor 9*s**d + 33/2*s - 3/2*s**4 - 3/2*s**5 + 9/2 + 21*s**2.
-3*(s - 3)*(s + 1)**4/2
Let f(o) be the third derivative of -2*o + 16*o**2 + 44/15*o**3 + 0 + 38/15*o**4 + 1/75*o**6 - 19/30*o**5. Factor f(r).
2*(r - 22)*(r - 2)*(4*r + 1)/5
Let z = 9871/33 - 299. Let v(q) be the first derivative of 0*q - 1/22*q**4 + z*q**3 + 7 - 1/11*q**2. Suppose v(y) = 0. What is y?
0, 1
Let m(o) be the first derivative of -o**8/1680 - o**7/168 - 19*o**3 - 115. Let i(r) be the third derivative of m(r). Factor i(v).
-v**3*(v + 5)
Let j = -404 + -42. Let m = j - -482. Determine q, given that -24/7*q - 232/7*q**2 + 162/7*q**5 - 622/7*q**3 - m*q**4 + 0 = 0.
-1, -2/9, 0, 3
Let l(k) be the third derivative of -k**6/660 + 4*k**5/33 + 25*k**4/11 - 6000*k**3/11 + 67*k**2 + k - 1. Factor l(o).
-2*(o - 30)**2*(o + 20)/11
Let n(a) be the first derivative of 0*a - 2/3*a**3 - 1/6*a**4 + 4/3*a**2 - 121. Let n(o) = 0. What is o?
-4, 0, 1
Let l(a) be the first derivative of -a**4/10 - 4*a**3/3 + 88*a**2/5 - 256*a/5 - 2026. Find x, given that l(x) = 0.
-16, 2, 4
Find p, given that 24 + 361*p - 5*p**4 + 389*p + 2*p**3 + 65*p**2 - 836*p = 0.
-4, 2/5, 1, 3
Let j(m) = 5*m**3 - 14*m**2 + 11*m - 5. Let u(z) = -11*z**3 + z**4 + 0 + 10*z**3 - 2*z - z**2 + z - 1. Let k(i) = -4*j(i) + 4*u(i). Factor k(c).
4*(c - 2)**2*(c - 1)**2
Let q(r) = -2*r - 6. Let f be q(-4). Suppose -4*i = -2*i - l, 16 = 4*l. Factor 170*n + f*n**i + 2 - 167*n + 3*n**2 - 4*n**2.
(n + 1)*(n + 2)
Let n(t) be the first derivative of 3*t**4/22 + 38*t**3/11 - 348*t**2/11 + 576*t/11 - 2759. Factor n(i).
6*(i - 4)*(i - 1)*(i + 24)/11
Let r be (-130347)/(-84)*24/(-18). Let z = -2066 - r. Determine n so that 4/7*n**z - 13500/7 + 2700/7*n - 180/7*n**2 = 0.
15
Let b(a) be the second derivative of -3*a**5/160 + 3*a**4/16 - 9*a**3/16 + 3*a**2/4 - 806*a - 2. Find m such that b(m) = 0.
1, 4
Suppose -i - 5*u = 13, 2*u - 1 = 2*i + 1. Let h be (2/i)/(((-40)/45)/4). Find l, given that 8/15*l + 2/15*l**h + 0 - 8/15*l**2 = 0.
0, 2
Let g = -4/279269 + 279285/1117076. Find w, given that -31/2*w - g*w**2 - 961/4 = 0.
-31
Let m = 121842 - 121840. Factor -m - 8/3*g - 2/3*g**2.
-2*(g + 1)*(g + 3)/3
Let k be (-98)/(-5)*(-83)/(-86 - 495). Determine j so that -8*j + 206/5*j**3 + 0 - 108/5*j**4 + k*j**5 - 72/5*j**2 = 0.
-2/7, 0, 1, 2, 5
Let w = -8771 + 8775. Let c(b) be the second derivative of 1/9*b**3 + 0 - 1/30*b**5 + b**2 - 1/6*b**w + 6*b. Solve c(a) = 0 for a.
-3, -1, 1
Let k be 64/(-416) - -2*61/624. Let a(q) be the third derivative of 0 - k*q**4 + 1/60*q**5 + 0*q - q**2 - 1/6*q**3 + 1/120*q**6. Factor a(p).
(p - 1)*(p + 1)**2
Let t(x) be the first derivative of -16*x - 1/35*x**5 - 2 - 2/21*x**4 - 2/21*x**3 + 0*x**2. Let j(d) be the first derivative of t(d). Factor j(h).
-4*h*(h + 1)**2/7
Suppose -5*y = -2*y - 36. Suppose -4*l - 2*c = 8, -4*l - y = -c + 4*c. Factor -14*x**3 - 2*x**2 - 8*x**2 + l*x**5 + 5*x**5 - x**3.
5*x**2*(x - 2)*(x + 1)**2
Let v(r) be the third derivative of 7*r**8/720 - r**7/180 + r**6/720 + r**5/6 + r**2 - 30. Let b(i) be the third derivative of v(i). Find p such that b(p) = 0.
1/14
Factor -24*g**3 - 1/3*g**4 + 0 - 46*g - 209/3*g**2.
-g*(g + 1)*(g + 2)*(g + 69)/3
Let x(b) be the first derivative of -b**6/15 + 4*b**5/5 - b**4 - 40*b**3/3 - 25*b**2 + 88*b + 69. Let l(z) be the first derivative of x(z). Factor l(g).
-2*(g - 5)**2*(g + 1)**2
Suppose -2*k - 13*v + 9 = -14*v, -v = k. Let x(j) be the second derivative of 0 - 9*j + 1/48*j**4 + 25/8*j**2 - 5/12*j**k. Determine i so that x(i) = 0.
5
Factor 1/4*a**4 + 3264*a**2 + 262144 + 49*a**3 + 77824*a.
(a + 4)*(a + 64)**3/4
Factor 256/3*b - 86 + 2/3*b**2.
2*(b - 1)*(b + 129)/3
Let p be 3104/(-291) + ((-4)/(-2))/(-6). Let o be p/(-33) - (-115)/60. Factor -3/2*s**2 - 1 + 1/4*s**3 + o*s.
(s - 4)*(s - 1)**2/4
Let o(c) = 299*c + 5681. Let k be o(-19). Let k + 2*b - 12/5*b**2 + 2/5*b**3 = 0. Calculate b.
0, 1, 5
Suppose -6*z - 15 = -3*z - 33. Let k(b) be the second derivative of 1/5*b**5 - 2/15*b**z + 0*b**2 + 0*b**3 + 2/3*b**4 + 0 - 24*b. Factor k(c).
-4*c**2*(c - 2)*(c + 1)
Determine h so that 5*h**2 + 3083 - 44*h**2 - 274*h + 3*h**3 + 27*h**2 - 779 - 110*h = 0.
-12, 8
Let j(w) be the first derivative of -1372*w**5/25 - 4067*w**4/5 - 4424*w**3/5 - 1864*w**2/5 - 352*w/5 - 813. Determine p so that j(p) = 0.
-11, -2/7
Suppose -128*v - 419 - 34 = -709. Let 64/3 - 32/3*j + 4/3*j**v = 0. What is j?
4
Let u(p) be the second derivative of 27*p - 1/3*p**4 + 40*p**2 - 16/3*p**3 + 0. Factor u(m).
-4*(m - 2)*(m + 10)
Let i = -10841/5 - -53529/20. Let r = -507 + i. Suppose -r*j**5 + 5/2*j**4 + 0*j**3 + 5/4*j + 0 - 5/2*j**2 = 0. What is j?
-1, 0, 1
Suppose 3*s - 21 + 0 = 0. Let t(a) = -a**2 + 5*a + 17. Let i be t(s). Factor 8*b**i - 3*b**5 + b**4 + 4*b**2 + 7*b**5 + 11*b**4 + 4*b**3.
4*b**2*(b + 1)**3
Suppose 66 = -2*s - s + 3*q, 0 = 2*s + 3*q + 64. Let d = s - -101. Factor -157*h**2 + d*h**2 + 73*h**2 + 3*h**3 + 6*h.
3*h*(h - 2)*(h - 1)
Factor 2/7*k**3 - 10/7*k**2 - 48/7*k + 0.
2*k*(k - 8)*(k + 3)/7
Let f be (264/2970*-20)/(((-8)/18)/2). Determine q, given that -64 + f*q - 1/4*q**2 = 0.
16
Suppose 3*q - 3 - 3 = 0. Let i(p) = 24 - 29*p**2 + 13*p - 4*p + 8*p**q. Let z(h) = -125*h**2 + 55*h + 145. Let j(n) = -25*i(n) + 4*z(n). Factor j(u).
5*(u - 1)*(5*u + 4)
Let w(r) be the third derivative of 46*r**8/231 - 312*r**7/385 - 163*r**6/220 - 23*r**5/165 + r**4/44 + 4147*r**2. Suppose