 1)
Determine p so that 5*p**2 + 1210*p + 73205 = 0.
-121
Solve -a**5/7 + 3*a**4/7 + 5*a**3 + 45*a**2/7 - 34*a/7 - 48/7 = 0.
-3, -2, -1, 1, 8
Let -7*d**3 + 44*d**2 - 47*d + 10 = 0. Calculate d.
2/7, 1, 5
Factor -4*v**2/9 - 52*v/9.
-4*v*(v + 13)/9
Factor 2*v**3/3 - 3154*v**2/3 + 413962*v + 415014.
2*(v - 789)**2*(v + 1)/3
Determine s, given that -2*s**2/5 - 34*s/5 - 12 = 0.
-15, -2
Find a such that 27*a**5 - 18*a**4 - 168*a**3 + 48*a**2 + 240*a + 96 = 0.
-2, -2/3, 2
Find v such that 3*v**5 + 12*v**4 - 18*v**3 - 96*v**2 - 105*v - 36 = 0.
-4, -1, 3
Factor g**4 - 1526*g**3/5 + 61*g**2.
g**2*(g - 305)*(5*g - 1)/5
Find z such that -4*z**3 + 64*z**2 - 116*z + 56 = 0.
1, 14
Determine q, given that q**4 - 2*q**3 - 59*q**2 - 192*q - 180 = 0.
-3, -2, 10
Factor 2*y**3/9 - 70*y**2/9 - 104*y/3.
2*y*(y - 39)*(y + 4)/9
Factor 2*h**5/13 - 22*h**4/13 + 20*h**3/13.
2*h**3*(h - 10)*(h - 1)/13
Suppose -335*i**3 + 1715*i**2 + 1810*i - 240 = 0. What is i?
-1, 8/67, 6
Determine c, given that c**3 + 117*c**2 - 237*c + 119 = 0.
-119, 1
Suppose 252*t**5 + 1424*t**4 + 2356*t**3 + 1104*t**2 + 144*t = 0. Calculate t.
-3, -2, -3/7, -2/9, 0
Factor 14*c**5 + 244*c**4 + 1362*c**3 + 2052*c**2 - 2376*c - 1296.
2*(c - 1)*(c + 6)**3*(7*c + 3)
Factor s**4 - 6*s**2 + 8*s - 3.
(s - 1)**3*(s + 3)
Determine y, given that y**4/5 + 3*y**3/5 + 2*y**2/5 = 0.
-2, -1, 0
Let 8*k**5/15 - 88*k**4/15 - 94*k**3/15 - 8*k**2/5 = 0. What is k?
-1/2, 0, 12
Suppose -5*k**5 + 360*k**4 + 755*k**3 - 1070*k**2 - 2940*k - 1480 = 0. What is k?
-2, -1, 2, 74
Suppose 3*v**5/5 - 39*v**4 + 189*v**3/5 + 39*v**2 - 192*v/5 = 0. Calculate v.
-1, 0, 1, 64
What is v in -2*v**3 - 312*v**2 - 11520*v + 51200 = 0?
-80, 4
Find x, given that 66*x**4 + 76*x**3 + 47*x**2/6 - 5*x/2 - 1/3 = 0.
-1, -1/6, 2/11
Factor -3*a**4/4 - 9*a**3/4 + 9*a**2/2 + 6*a.
-3*a*(a - 2)*(a + 1)*(a + 4)/4
Suppose t**4/6 - 21*t**3/2 - 166*t**2/3 - 90*t - 136/3 = 0. What is t?
-2, -1, 68
Determine k, given that -35*k**5 + 235*k**4 + 105*k**3 - 235*k**2 - 70*k = 0.
-1, -2/7, 0, 1, 7
Find p such that -80*p**3 + 120*p**2 + 315*p + 135 = 0.
-3/4, 3
Let 68*q**5 + 196*q**4 - 228*q**3 - 724*q**2 - 320*q + 48 = 0. What is q?
-3, -1, 2/17, 2
Factor 3*r**2 - 387*r + 384.
3*(r - 128)*(r - 1)
Factor -n**2/5 + 209*n/5 - 208/5.
-(n - 208)*(n - 1)/5
What is h in -5*h**4 + 35*h**3 - 20*h**2 - 60*h = 0?
-1, 0, 2, 6
Solve 33*n**5 + 113*n**4 + 43*n**3 - 129*n**2 - 56*n - 4 = 0 for n.
-2, -1/3, -1/11, 1
Factor -3*v**3/7 - 15*v**2/7 - 9*v/7 + 27/7.
-3*(v - 1)*(v + 3)**2/7
Suppose -4*o**2/3 - 1667*o - 1250/3 = 0. What is o?
-1250, -1/4
Factor -5*i**3 + 180*i**2 - 175*i.
-5*i*(i - 35)*(i - 1)
Find v, given that -v**2/4 - 47*v/4 - 70 = 0.
-40, -7
Determine c, given that 4*c**4 + 624*c**3 + 32448*c**2 + 562432*c = 0.
-52, 0
Factor -3*g**3 - 117*g**2 - 324*g.
-3*g*(g + 3)*(g + 36)
What is b in 2*b**3/7 - 50*b**2/7 + 176*b/7 - 24 = 0?
2, 21
Solve -2*p**4 - 21*p**3/2 - 41*p**2/4 - 3*p/4 + 1 = 0.
-4, -1, -1/2, 1/4
Factor -11*f**5 + 7*f**4 + 37*f**3 - 43*f**2 + 2*f + 8.
-(f - 1)**3*(f + 2)*(11*f + 4)
Factor 2*n**2 + 352*n + 15488.
2*(n + 88)**2
Factor -2*g**2/7 + 22*g/7.
-2*g*(g - 11)/7
Let -3*u**4/5 + 33*u**3/5 - 24*u**2 + 144*u/5 = 0. What is u?
0, 3, 4
Let -24*o**4/7 + 92*o**3/7 + 176*o**2/7 - 188*o/7 + 40/7 = 0. What is o?
-2, 1/3, 1/2, 5
Factor -v**5 + 94*v**4 - 2388*v**3 + 8370*v**2 - 6075*v.
-v*(v - 45)**2*(v - 3)*(v - 1)
Factor -2*f**2/9 + 2*f/3 - 4/9.
-2*(f - 2)*(f - 1)/9
Find r such that 2*r**3/15 - 34*r**2/15 + 112*r/15 - 104/15 = 0.
2, 13
Let 15*d**4 - 3666*d**3 - 20901*d**2 - 24804*d + 13500 = 0. What is d?
-3, 2/5, 250
Factor g**3/3 + 1192*g**2 + 1420864*g + 1693669888/3.
(g + 1192)**3/3
Factor 5*s**2 + 90*s + 85.
5*(s + 1)*(s + 17)
Solve -2*r**3 + 18*r**2 - 46*r + 30 = 0.
1, 3, 5
Find o such that -3*o**5 + 468*o**4 - 18699*o**3 + 33702*o**2 + 74844*o - 142296 = 0.
-2, 2, 77
Factor n**3 - 799*n**2 + 1594*n.
n*(n - 797)*(n - 2)
What is j in -j**3/2 - 7*j**2/2 + 9*j = 0?
-9, 0, 2
Solve 2*c**5 - 18*c**4 + 54*c**3 - 54*c**2 = 0 for c.
0, 3
Solve -2352*w**3 - 5208*w**2 - 1035*w - 54 = 0.
-2, -3/28
Factor 2*o**2/9 - 8*o/3 + 70/9.
2*(o - 7)*(o - 5)/9
Solve -9*z**2/2 - 159*z - 2809/2 = 0.
-53/3
Factor a**2 - 9*a.
a*(a - 9)
Determine u so that 4*u**2/9 - 26*u/9 + 10/3 = 0.
3/2, 5
Factor -3*w**5 + 159*w**4 - 774*w**3 - 3306*w**2 - 3639*w - 1269.
-3*(w - 47)*(w - 9)*(w + 1)**3
Factor p**2 - 117*p/2 + 848.
(p - 32)*(2*p - 53)/2
Suppose -21*x**4/5 - 258*x**3/5 - 177*x**2/5 + 1356*x/5 + 396/5 = 0. What is x?
-11, -3, -2/7, 2
Solve 2*g**4/5 + 29*g**3/5 - 81*g**2/5 + 67*g/5 - 17/5 = 0 for g.
-17, 1/2, 1
Let 3*p**4 + 138*p**3 - 141*p**2 = 0. Calculate p.
-47, 0, 1
Factor -25*d**3 + 110*d**2 + 4085*d - 1650.
-5*(d - 15)*(d + 11)*(5*d - 2)
Suppose 3*m**5/5 + 174*m**4/5 + 666*m**3/5 + 984*m**2/5 + 651*m/5 + 162/5 = 0. What is m?
-54, -1
Factor -12*r**3 + 3*r**2 + 12*r - 3.
-3*(r - 1)*(r + 1)*(4*r - 1)
Let -4*b**5 + 568*b**4 - 21208*b**3 + 70128*b**2 + 206172*b + 114264 = 0. Calculate b.
-1, 6, 69
What is u in 3*u**4 + 93*u**3 + 171*u**2 - 93*u - 174 = 0?
-29, -2, -1, 1
Factor -j**5 + 285*j**4 + 2029*j**3 + 4367*j**2 + 3792*j + 1168.
-(j - 292)*(j + 1)**3*(j + 4)
Factor l**3 + 62*l**2 - 127*l + 64.
(l - 1)**2*(l + 64)
Let k**4/3 - 8*k**2/3 + 16/3 = 0. Calculate k.
-2, 2
Factor -4*k**3 - 18*k**2 - 20*k - 6.
-2*(k + 1)*(k + 3)*(2*k + 1)
Determine j, given that 2*j**4 - 10*j**3 - 16*j**2 + 24*j = 0.
-2, 0, 1, 6
Determine s so that 2*s**2/5 + 176*s/5 + 174/5 = 0.
-87, -1
Factor c**2/5 - 12*c/5 + 27/5.
(c - 9)*(c - 3)/5
Factor -p**2/2 - 5*p/4 + 3/4.
-(p + 3)*(2*p - 1)/4
Determine u so that -5*u**3 + 845*u**2 - 33495*u - 189225 = 0.
-5, 87
Determine n so that -4*n**4 - 8*n**3 + 44*n**2 + 48*n = 0.
-4, -1, 0, 3
Solve 18*j**2/5 + 58*j/5 + 12/5 = 0.
-3, -2/9
Factor -p**2/2 + p - 1/2.
-(p - 1)**2/2
Determine d so that -3*d**2 - 6*d - 3 = 0.
-1
Solve -14*y**2/5 + 18*y/5 - 4/5 = 0.
2/7, 1
Suppose -v**3/7 + 69*v**2/7 + 457*v/7 - 75 = 0. Calculate v.
-7, 1, 75
Factor -9*j**2/5 - 66*j/5 + 48/5.
-3*(j + 8)*(3*j - 2)/5
What is y in -2*y**2/5 - 34*y/5 + 36/5 = 0?
-18, 1
Solve -5*l**4 + 215*l**3 - 1905*l**2 - 10235*l + 26450 = 0 for l.
-5, 2, 23
Factor -27*h**3 - 804*h**2 + 180*h.
-3*h*(h + 30)*(9*h - 2)
Solve o**2/6 + 839*o/3 - 1679/6 = 0 for o.
-1679, 1
Find p such that -4*p**5 - 104*p**4 - 764*p**3 - 1048*p**2 + 768*p + 1152 = 0.
-12, -2, -1, 1
Determine o so that o**4/3 + 88*o**3/3 + 1846*o**2/3 - 1320*o + 675 = 0.
-45, 1
Factor -564*z**2 + 1694*z - 6.
-2*(z - 3)*(282*z - 1)
Factor v**3/7 - 3*v**2/7 - 6*v/7 + 8/7.
(v - 4)*(v - 1)*(v + 2)/7
Solve -r**2 + 7422*r - 13771521 = 0 for r.
3711
Determine p so that -p**4/2 - 3*p**3 - 2*p**2 + 3*p + 5/2 = 0.
-5, -1, 1
Let 3*q**2/7 + 93*q/7 - 96/7 = 0. What is q?
-32, 1
Factor 4*i**5 + 4*i**4 - 8*i**3.
4*i**3*(i - 1)*(i + 2)
Determine r, given that -2*r**4/11 + 8*r**3/11 + 10*r**2/11 = 0.
-1, 0, 5
Determine y so that -y**2/7 - 2144*y/7 - 1149184/7 = 0.
-1072
Suppose x**3 - 6*x**2 - 51*x - 44 = 0. Calculate x.
-4, -1, 11
Factor -2*d**4/3 - 32*d**3/3 - 46*d**2 - 36*d.
-2*d*(d + 1)*(d + 6)*(d + 9)/3
Solve 4*g**4 + 4*g**3 - 16*g**2 - 16*g = 0.
-2, -1, 0, 2
Factor 9*p**3 - 294*p**2 - 2265*p + 1638.
3*(p - 39)*(p + 7)*(3*p - 2)
Let -12*k**4 + 237*k**3 + 885*k**2 + 312*k - 828 = 0. What is k?
-2, 3/4, 23
Factor u**2 + 17728*u + 78570496.
(u + 8864)**2
Let 2*g**2/7 + 6*g - 92/7 = 0. Calculate g.
-23, 2
Find z such that 3*z**2 - 36*z + 108 = 0.
6
What is q in -2*q**3/7 + 30*q**2/7 - 16*q = 0?
0, 7, 8
Find p, given that -p**3 - 32*p**2 + 4*p + 128 = 0.
-32, -2, 2
Find o, given that o**3/6 - 61*o**2 - 245*o/2 - 184/3 = 0.
-1, 368
Suppose 4*r**2 - 3564*r + 3560 = 0. What is r?
1, 890
Let -u**3 + 64*u**2 - 125*u + 62 = 0. Calculate u.
1, 62
Factor -4*b**3/7 - 104*b**2/7 + 4*b/7 + 104/7.
-4*(b - 1)*(b + 1)*(b + 26)/7
Determine z so that 2*z**4/3 - 4*z**2 - 16*z/3 - 2 = 0.
-1, 3
Determine r so that -4*r**5/5 - r**4 + 47*r**3/5 + 124*r**2/5 + 92*r/5 + 16/5 = 0.
-2, -1, -1/4, 4
Factor h**2 - 147*h + 1742.
(h - 134)*(h - 13)
Find p, given that -p**2/9 + 2416*p/9 - 805/3 = 0.
1, 2415
Find y, given that 2*y**2/5 - 2*y - 12/5 = 0.
-1, 6
What is z in -3*z**3/4 + 51*z**2/4 + 3*z/4 - 51/4 = 0?
-1, 1, 17
Find z, given that 2*z**2/9 + 12*z - 992/9 = 0.
-62, 8
Determine g so that -3*