iven that -9*f**5 + 39*f**4 - 21*f**3 - 51*f**2 + 18*f = 0.
-1, 0, 1/3, 2, 3
Factor 2*s**4/3 - 4*s**3/3 - 8*s**2/3 + 4*s/3 + 2.
2*(s - 3)*(s - 1)*(s + 1)**2/3
Factor 4*p**4 - 1352*p**3 + 114244*p**2.
4*p**2*(p - 169)**2
Let 2*j**2 - 16*j - 256 = 0. Calculate j.
-8, 16
Factor -4*s**2 + 32*s + 36.
-4*(s - 9)*(s + 1)
Find j such that -15*j**5 - 40*j**4 + 50*j**2 + 15*j - 10 = 0.
-2, -1, 1/3, 1
Factor -4*r**3 + 168*r**2 - 156*r - 328.
-4*(r - 41)*(r - 2)*(r + 1)
Factor -4*d**2/5 + 552*d - 95220.
-4*(d - 345)**2/5
Suppose 5*q**3 + 290*q**2 + 1560*q = 0. Calculate q.
-52, -6, 0
Solve m**5/2 - 7*m**4/3 - 7*m**3/6 + 5*m**2/3 = 0 for m.
-1, 0, 2/3, 5
Solve -a**2/2 - 35*a - 1209/2 = 0 for a.
-39, -31
Factor 2*a**3/11 + 42*a**2/11 + 78*a/11 + 38/11.
2*(a + 1)**2*(a + 19)/11
Suppose 20*o**3 - 152*o**2 + 372*o - 288 = 0. Calculate o.
8/5, 3
Solve 4*a**3 + 396*a**2 + 6156*a + 26244 = 0 for a.
-81, -9
Let 4*p**2 + 156*p + 296 = 0. Calculate p.
-37, -2
Factor -3*r**3 - 48*r**2 + 417*r + 462.
-3*(r - 7)*(r + 1)*(r + 22)
Determine b, given that 27*b**3 - 669*b**2 + 1632*b + 396 = 0.
-2/9, 3, 22
Factor o**2/8 + 31*o/4 + 961/8.
(o + 31)**2/8
Factor -4*m**2 - 12836*m.
-4*m*(m + 3209)
Factor -g**3/8 + 705*g**2/2 - 331350*g + 103823000.
-(g - 940)**3/8
Let -38*x**3/5 - 376*x**2/5 + 8*x = 0. What is x?
-10, 0, 2/19
Suppose 3*k**5/5 - 549*k**3/5 + 546*k**2/5 = 0. What is k?
-14, 0, 1, 13
Solve -7*g**3/4 + 13*g**2/2 + 2*g = 0 for g.
-2/7, 0, 4
Factor 125*m**4 - 475*m**3 - 2455*m**2 - 2325*m - 630.
5*(m - 7)*(m + 2)*(5*m + 3)**2
Factor -4*c**4 + 11*c**3 - 10*c**2 + 3*c.
-c*(c - 1)**2*(4*c - 3)
Solve 5*u**3 + 535*u**2 + 15080*u + 40560 = 0 for u.
-52, -3
Solve 25*r**4 - 85*r**3 + 105*r**2 - 55*r + 10 = 0.
2/5, 1
Determine x so that -2*x**4/5 + 2*x**3 + 14*x**2/5 - 2*x - 12/5 = 0.
-1, 1, 6
Solve -2*b**3/3 + 52*b**2/3 + 1216*b/3 + 1792 = 0 for b.
-8, 42
What is k in -7*k**4 - 47*k**3 - 91*k**2 - 33*k + 18 = 0?
-3, -1, 2/7
Factor -4*s**3 + 80*s**2 + 276*s.
-4*s*(s - 23)*(s + 3)
Factor 25*y**4 - 160*y**3 - 940*y**2 + 400*y.
5*y*(y - 10)*(y + 4)*(5*y - 2)
Factor 13*k**4/3 - 67*k**3/3 + 10*k**2/3.
k**2*(k - 5)*(13*k - 2)/3
Let -8*n**4/3 - 62*n**3/3 + 104*n**2/3 + 122*n/3 - 12 = 0. Calculate n.
-9, -1, 1/4, 2
Factor 2*o**3 + 112*o**2 - 114*o.
2*o*(o - 1)*(o + 57)
Let -y**3 - 141*y**2 - 5040*y - 4900 = 0. Calculate y.
-70, -1
Solve -9*x**4 - 66*x**3 - 156*x**2 - 126*x - 27 = 0 for x.
-3, -1, -1/3
Factor -3*u**3 + 156*u**2 + 3219*u + 3060.
-3*(u - 68)*(u + 1)*(u + 15)
Factor -3*b**2/7 + 243*b/7 + 246/7.
-3*(b - 82)*(b + 1)/7
Suppose 2*d**2 - 320*d + 12800 = 0. Calculate d.
80
Factor -2*u**5/3 - 188*u**4/3 - 244*u**3 - 1088*u**2/3 - 722*u/3 - 60.
-2*(u + 1)**4*(u + 90)/3
Factor -p**2 - 5*p - 4.
-(p + 1)*(p + 4)
Find n such that 3*n**4 + 791*n**3/2 + 13389*n**2 + 46215*n/2 - 4225 = 0.
-65, -2, 1/6
Solve o**5 - 49*o**4 + 676*o**3 - 1156*o**2 - 14960*o + 15488 = 0 for o.
-4, 1, 8, 22
Find h, given that 3*h**3 - 126*h**2 + 1257*h - 1134 = 0.
1, 14, 27
Determine a so that -4*a**3/5 + 17*a**2/5 + 5*a - 10 = 0.
-2, 5/4, 5
Determine g so that 4*g**2 + 8152*g + 4153444 = 0.
-1019
Let -2*a**4/3 - 16*a**3/3 - 10*a**2/3 + 28*a/3 = 0. Calculate a.
-7, -2, 0, 1
Factor 2*t**2/13 - 84*t/13 + 82/13.
2*(t - 41)*(t - 1)/13
Factor -3*r**2/2 - 241*r/2 + 81.
-(r + 81)*(3*r - 2)/2
Find b, given that b**5/4 + 2*b**4 + 9*b**3/4 - 9*b**2/2 = 0.
-6, -3, 0, 1
Let -p**3/4 - 9*p**2 - 60*p - 112 = 0. What is p?
-28, -4
Factor r**2 - 4*r + 3.
(r - 3)*(r - 1)
Factor -3*l**2 - 36*l.
-3*l*(l + 12)
Factor -m**3/4 - 2*m**2 + m/4 + 2.
-(m - 1)*(m + 1)*(m + 8)/4
Factor 6*o**5/11 - 222*o**4/11 - 702*o**3/11 - 714*o**2/11 - 240*o/11.
6*o*(o - 40)*(o + 1)**3/11
Determine w, given that 2*w**2/7 - 8648*w/7 + 9348488/7 = 0.
2162
Determine z so that -2*z**5 - 62*z**4 + 1882*z**3 + 61150*z**2 - 440000*z - 15125000 = 0.
-25, 22
Determine b, given that -5*b**3 - 40*b**2 - 35*b = 0.
-7, -1, 0
Suppose -r**5/6 - 13*r**4/6 - 49*r**3/6 - 79*r**2/6 - 29*r/3 - 8/3 = 0. What is r?
-8, -2, -1
Let 57*p**3/4 + 279*p**2/4 - 948*p + 99 = 0. Calculate p.
-11, 2/19, 6
Determine h so that 2*h**5 - 84*h**4 + 954*h**3 - 1360*h**2 - 2400*h = 0.
-1, 0, 3, 20
Solve x**3/7 + x**2/7 - 5*x/7 + 3/7 = 0.
-3, 1
Factor -5*m**4 - 30*m**3 - 65*m**2 - 60*m - 20.
-5*(m + 1)**2*(m + 2)**2
Factor w**3 + 295*w**2 - 1192*w + 1196.
(w - 2)**2*(w + 299)
Factor 33*t**3/4 - 105*t**2/4 - 78*t + 15.
3*(t - 5)*(t + 2)*(11*t - 2)/4
Let 4*h**4 - 96*h**3 + 764*h**2 - 2256*h + 1584 = 0. What is h?
1, 6, 11
Suppose 2*s**2/13 - 144*s/13 + 280/13 = 0. Calculate s.
2, 70
Determine s so that -5*s**3 - 765*s**2 - 39015*s - 663255 = 0.
-51
Find m, given that 2*m**2/5 - 16*m/15 - 2/5 = 0.
-1/3, 3
Let 2*v**4 - 20*v**3 + 46*v**2 - 28*v = 0. Calculate v.
0, 1, 2, 7
Factor s**2 - 216*s - 436.
(s - 218)*(s + 2)
Solve 2*g**3 + 2078*g**2 = 0.
-1039, 0
Factor n**2 + 198*n + 197.
(n + 1)*(n + 197)
Factor -2*h**3/13 - 84*h**2/13 + 86*h/13.
-2*h*(h - 1)*(h + 43)/13
Find g, given that 4*g**5 + 48*g**4 - 8*g**3 - 96*g**2 + 4*g + 48 = 0.
-12, -1, 1
Let -11*d**3/3 - 574*d**2/3 - 7540*d/3 - 1352/3 = 0. What is d?
-26, -2/11
Factor -m**3/2 + 35*m**2/2.
-m**2*(m - 35)/2
Factor r**3 - 81*r**2 + 1023*r + 1105.
(r - 65)*(r - 17)*(r + 1)
Factor -h**4/4 + 13*h**3/4 - 23*h**2/2 + 3*h + 18.
-(h - 6)**2*(h - 2)*(h + 1)/4
Factor 3*n**4/4 - 951*n**3/4 + 945*n**2/2.
3*n**2*(n - 315)*(n - 2)/4
Factor 76832*b**3 + 78792*b**2 + 3945*b/2 + 25/2.
(b + 1)*(392*b + 5)**2/2
Determine x so that 857375*x**3/9 - 18050*x**2/3 + 380*x/3 - 8/9 = 0.
2/95
Find p, given that 153*p**4 - 897*p**3/4 + 181*p**2/2 - 3*p - 2 = 0.
-2/17, 1/4, 2/3
Suppose -4*d**3 - 88*d**2 - 164*d - 80 = 0. What is d?
-20, -1
Find z such that -3*z**2/4 - 6201*z/4 = 0.
-2067, 0
Solve -5*k**2 - 80*k - 240 = 0 for k.
-12, -4
Solve 2*o**3 + 1648*o**2 + 336168*o - 1371168 = 0.
-414, 4
Factor -y**4/2 - y**3 + 15*y**2/2 - 2*y - 10.
-(y - 2)**2*(y + 1)*(y + 5)/2
Factor -15*c**3 + 114*c**2 + 48*c.
-3*c*(c - 8)*(5*c + 2)
Solve 27*d**5/2 + 99*d**4/2 - 51*d**3/2 - 63*d**2/2 - 6*d = 0.
-4, -1/3, 0, 1
Solve -v**3 + 7*v**2 + 4*v - 28 = 0 for v.
-2, 2, 7
Suppose -3*d**3/7 + 1002*d**2/7 + 2013*d/7 + 144 = 0. Calculate d.
-1, 336
Solve 2*o**5 - 32*o**4 + 146*o**3 - 284*o**2 + 248*o - 80 = 0 for o.
1, 2, 10
Find t, given that 2*t**2/5 - 2*t/5 - 12/5 = 0.
-2, 3
Solve 4*x**3 - 84*x**2 + 224*x - 144 = 0 for x.
1, 2, 18
Factor r**5/3 + 5*r**4/2 + 20*r**3/3 + 20*r**2/3 - 8/3.
(r + 2)**4*(2*r - 1)/6
Factor -21*p**2 + 45*p + 54.
-3*(p - 3)*(7*p + 6)
Factor 8*c**3/5 + 22*c**2 - 148*c/5 + 6.
2*(c - 1)*(c + 15)*(4*c - 1)/5
Determine m, given that -3*m**4/7 - 342*m**3/7 - 10083*m**2/7 - 2736*m - 1344 = 0.
-56, -1
Solve -c**4/2 - 35*c**3 - 1473*c**2/2 - 4340*c - 7688 = 0.
-31, -4
Factor -2*r**4 + 32*r**3 - 48*r**2 - 640*r - 800.
-2*(r - 10)**2*(r + 2)**2
Factor -4*v**3 + 1393*v**2 + 6712*v - 1765.
-(v - 353)*(v + 5)*(4*v - 1)
Find l, given that l**3/2 + 299*l**2/2 + 595*l/2 + 297/2 = 0.
-297, -1
Factor 2*h**2/9 - 1270*h/9 - 2548/9.
2*(h - 637)*(h + 2)/9
Factor z**2/4 - 451*z/4 - 113.
(z - 452)*(z + 1)/4
Factor 2*d**3/3 - 502*d**2 + 93744*d + 285768.
2*(d - 378)**2*(d + 3)/3
Factor 5*m**2 - 425*m.
5*m*(m - 85)
Factor y**2 + 47*y + 46.
(y + 1)*(y + 46)
Factor 2*v**3 - 166*v**2/5 - 68*v/5.
2*v*(v - 17)*(5*v + 2)/5
Let 3*o**2/8 - 717*o/8 - 90 = 0. Calculate o.
-1, 240
Determine z so that z**3 + 1336*z**2 + 2669*z + 1334 = 0.
-1334, -1
Solve -16*h**5/9 + 44*h**4/9 + 182*h**3/9 + 8*h**2/9 - 94*h/9 + 20/9 = 0 for h.
-2, -1, 1/4, 1/2, 5
What is x in -2*x**2 - 5304*x - 3516552 = 0?
-1326
Factor 6*z**2/5 + 37416*z/5.
6*z*(z + 6236)/5
Factor 2*u**3 + 110*u**2 + 844*u + 736.
2*(u + 1)*(u + 8)*(u + 46)
Determine r, given that -12*r**4 + 40*r**3 - 16*r**2 - 32*r = 0.
-2/3, 0, 2
Factor -3*v**3/4 + 693*v**2/4 - 53361*v/4 + 1369599/4.
-3*(v - 77)**3/4
What is v in -23*v**3/6 + 7*v**2/2 + 8*v + 2/3 = 0?
-1, -2/23, 2
Factor -4*n**3/7 + 92*n**2/7 + 660*n/7 + 1044/7.
-4*(n - 29)*(n + 3)**2/7
Factor y**2/2 + 121*y/2 - 123.
(y - 2)*(y + 123)/2
Suppose -q**4/4 - 5*q**3/2 - 4*q**2 = 0. What is q?
-8, -2, 0
Find i such that 2*i**3/3 - 14*i**2/3 + 8*i = 0.
0, 3, 4
Factor -r**3/2 - 3*r**2/2 + r/2 + 3/2.
-(r - 1)*(r + 1)*(r + 3)/2
Factor 2*c**4 - 16*c**3 + 44*c**2 - 48*c + 18.
2*(c - 3)**2*(c - 1)**2
Solve