 2)*(l + 2)*(3*l + 1)/3
Solve -2*v**2/5 + 16*v/5 + 18/5 = 0 for v.
-1, 9
Let 5*f**3 - 325*f**2 + 5440*f - 5120 = 0. Calculate f.
1, 32
Factor 5*g**3 + 150*g**2 + 960*g - 2560.
5*(g - 2)*(g + 16)**2
Determine g so that -g**5 + 4*g**4 + 15*g**3 - 18*g**2 = 0.
-3, 0, 1, 6
Factor -2*y**2/23 + 44*y/23 - 42/23.
-2*(y - 21)*(y - 1)/23
Let 2*t**3 - 654*t**2 + 71286*t - 2590058 = 0. What is t?
109
Factor 4*i**2 - 22*i + 30.
2*(i - 3)*(2*i - 5)
Solve -2*f**4 + 10*f**3 + 4*f**2 - 48*f = 0.
-2, 0, 3, 4
Find g, given that -2*g**5 - 72*g**4 - 572*g**3 + 1368*g**2 - 722*g = 0.
-19, 0, 1
Factor 2*f**3/3 - 8*f**2/3 + 10*f/3 - 4/3.
2*(f - 2)*(f - 1)**2/3
Let 3*j**3 - 324*j**2 + 639*j - 318 = 0. What is j?
1, 106
Factor -1764*s**3 + 4368*s**2/5 - 356*s/5 + 8/5.
-4*(5*s - 2)*(21*s - 1)**2/5
Let -n**3/6 - 163*n**2/2 - 19845*n/2 + 60025/6 = 0. Calculate n.
-245, 1
Factor -2*f**4/5 - 2*f**3/5 + 6*f**2/5 + 2*f + 4/5.
-2*(f - 2)*(f + 1)**3/5
Factor -5*q**2/6 - 20*q/3.
-5*q*(q + 8)/6
Factor u**3/3 + 14*u**2/3 + 49*u/3 + 12.
(u + 1)*(u + 4)*(u + 9)/3
Let 28*r**4 + 1340*r**3 - 2992*r**2 + 400*r = 0. What is r?
-50, 0, 1/7, 2
Determine v so that 2*v**3/7 + 268*v**2/7 = 0.
-134, 0
Factor -3*m**4 - 3*m**3 + 90*m**2 - 228*m + 168.
-3*(m - 2)**3*(m + 7)
Factor -5*i**3 + 532*i**2 - 14257*i + 5618.
-(i - 53)**2*(5*i - 2)
Factor 2*z**2/7 + 544*z/7 + 36992/7.
2*(z + 136)**2/7
Determine d so that -4*d**2 - 5540*d = 0.
-1385, 0
Let t**2 + 11*t - 620 = 0. Calculate t.
-31, 20
Factor 27*w**3/2 + 2199*w**2/2 + 486*w.
3*w*(w + 81)*(9*w + 4)/2
Factor -q**4 - 29*q**3 + 30*q**2.
-q**2*(q - 1)*(q + 30)
Let -l**3/8 + 147*l**2/4 - 585*l/8 + 73/2 = 0. What is l?
1, 292
Solve -2*f**3 + 84*f**2 + 182*f - 264 = 0.
-3, 1, 44
Factor 507*s**4 - 234*s**3 - 1221*s**2 + 288*s + 768.
3*(s + 1)**2*(13*s - 16)**2
Let 5*q**2 + 125*q - 130 = 0. Calculate q.
-26, 1
Determine x, given that 3*x**5 + 63*x**4 + 309*x**3 + 621*x**2 + 552*x + 180 = 0.
-15, -2, -1
Determine o, given that 196*o**3 + 9100*o**2 - 5248*o + 752 = 0.
-47, 2/7
Factor 2*o**2 + 16*o + 14.
2*(o + 1)*(o + 7)
Find v, given that -2*v**2/3 + 42*v - 580/3 = 0.
5, 58
Find r such that 4*r**3/3 + 284*r**2/3 = 0.
-71, 0
Suppose -y**5 + 21*y**4 + 97*y**3 + 79*y**2 - 96*y - 100 = 0. Calculate y.
-2, -1, 1, 25
Factor s**3/2 - 7*s**2 - 34*s - 36.
(s - 18)*(s + 2)**2/2
Factor 6*r**3 + 124*r**2 - 174*r + 44.
2*(r - 1)*(r + 22)*(3*r - 1)
Factor 2*a**2/3 - 10*a.
2*a*(a - 15)/3
Determine n so that -n**3 - 22*n**2 - 41*n - 20 = 0.
-20, -1
Factor 3364*w**4 - 37120*w**3 + 34917*w**2 - 1171*w + 10.
(w - 10)*(w - 1)*(58*w - 1)**2
Suppose 40*n**4 - 284*n**3 + 348*n**2 + 608*n - 64 = 0. What is n?
-1, 1/10, 4
Factor 10*i**4 - 34*i**3 - 78*i**2 - 14*i + 20.
2*(i - 5)*(i + 1)**2*(5*i - 2)
Find v, given that -8*v**5/7 - 1644*v**4/7 - 127296*v**3/7 - 4432104*v**2/7 - 60488856*v/7 - 81182412/7 = 0.
-51, -3/2
Factor 5202*u**2 + 4080*u + 800.
2*(51*u + 20)**2
Factor -2*o**4 - 88*o**3 + 6*o**2 + 260*o - 176.
-2*(o - 1)**2*(o + 2)*(o + 44)
Factor 135*v**2 + 1555*v + 770.
5*(v + 11)*(27*v + 14)
Determine d so that -2*d**4/5 - 74*d**3/5 + 322*d**2/5 - 246*d/5 = 0.
-41, 0, 1, 3
Solve -3*x**3/5 + 159*x**2/5 - 456*x + 1980 = 0 for x.
10, 33
Determine v, given that 2*v**3/13 - 276*v**2/13 - 846*v/13 = 0.
-3, 0, 141
Find a such that 2*a**5/9 + 22*a**4/9 + 26*a**3/3 + 10*a**2 = 0.
-5, -3, 0
Factor 18*x**2/5 - 44*x/5 + 16/5.
2*(x - 2)*(9*x - 4)/5
Solve -4*i**5 + 16*i**4 + 16*i**3 - 64*i**2 = 0 for i.
-2, 0, 2, 4
Factor 3*x**2/2 - 1254*x + 262086.
3*(x - 418)**2/2
Solve -q**3/6 + 7*q**2/6 + 4*q/3 = 0 for q.
-1, 0, 8
Suppose 3*y**4 - 6*y**2 + 3 = 0. Calculate y.
-1, 1
Solve s**5/4 - 4*s**4 + 41*s**3/4 + 47*s**2/2 - 30*s = 0.
-2, 0, 1, 5, 12
Find v such that 4*v**4 - 24*v**3 - 64*v**2 = 0.
-2, 0, 8
Factor 2*z**4/9 + 8*z**3/9 + 2*z**2/9 - 4*z/3.
2*z*(z - 1)*(z + 2)*(z + 3)/9
What is a in -5*a**2 + 1275*a - 1270 = 0?
1, 254
Find j, given that j**3/6 + j**2/3 - j/6 - 1/3 = 0.
-2, -1, 1
Solve -4*o**5 + 1932*o**4 - 3852*o**3 + 1924*o**2 = 0.
0, 1, 481
Suppose k**2 + 48*k + 176 = 0. Calculate k.
-44, -4
Determine b so that 2*b**3/17 + 16*b**2/17 - 46*b/17 - 60/17 = 0.
-10, -1, 3
What is a in -9*a**4 - 187*a**3 - 948*a**2 - 1292*a + 336 = 0?
-14, -4, -3, 2/9
Factor -22*g**2/17 - 70*g/17 - 12/17.
-2*(g + 3)*(11*g + 2)/17
Factor -5*q**4 + 290*q**3 - 4485*q**2 + 8120*q - 3920.
-5*(q - 28)**2*(q - 1)**2
Find b such that -12*b**2 - 20*b = 0.
-5/3, 0
Factor 2*d**5/7 - 18*d**4/7 + 48*d**3/7 - 32*d**2/7.
2*d**2*(d - 4)**2*(d - 1)/7
Find f such that 25*f**3 - 2315*f**2 + 3656*f - 1456 = 0.
4/5, 91
Suppose -4*q**3/3 + 196*q + 1144/3 = 0. Calculate q.
-11, -2, 13
Find o, given that -2*o**3/9 + 26*o**2/3 + 118*o/3 - 430/9 = 0.
-5, 1, 43
Factor 5*s**4/2 + 6*s**3 - 27*s**2 - 54*s + 81/2.
(s - 3)*(s + 3)**2*(5*s - 3)/2
Factor 3*m**4 - 24*m**3 + 63*m**2 - 54*m.
3*m*(m - 3)**2*(m - 2)
Factor 4*s**3/9 + 38*s**2/9 - 64*s/9 + 22/9.
2*(s - 1)*(s + 11)*(2*s - 1)/9
Determine y so that 2*y**5/13 - 28*y**4/13 - 32*y**3/13 + 28*y**2/13 + 30*y/13 = 0.
-1, 0, 1, 15
Let -3*p**2 - 75*p - 138 = 0. What is p?
-23, -2
Factor 3*p**2 + 960*p - 3888.
3*(p - 4)*(p + 324)
Factor 3*t**2 + 7182*t + 4298427.
3*(t + 1197)**2
Determine g, given that 4*g**5 + 208*g**4 + 200*g**3 - 208*g**2 - 204*g = 0.
-51, -1, 0, 1
Suppose 5*s**3/2 - 205*s**2/2 + 600*s + 10080 = 0. Calculate s.
-7, 24
Factor 4*w**2 - 452*w.
4*w*(w - 113)
Factor -g**5/4 - 13*g**4/2 + 27*g**3/4.
-g**3*(g - 1)*(g + 27)/4
Factor 5*h**4 + 10*h**3 - 15*h**2.
5*h**2*(h - 1)*(h + 3)
Solve -2*c**3/3 - 26*c**2/9 + 184*c/9 + 64/9 = 0.
-8, -1/3, 4
Factor -2*o**4/3 + 6*o**3 - 52*o**2/3 + 16*o.
-2*o*(o - 4)*(o - 3)*(o - 2)/3
Find v, given that -2*v**3/17 - 46*v**2/17 + 288*v/17 + 8424/17 = 0.
-18, 13
Determine b so that b**4 + 3*b**3 + 2*b**2 = 0.
-2, -1, 0
Solve -3*p**5/2 + 88*p**4 - 2461*p**3/2 - 1770*p**2 - 450*p = 0 for p.
-1, -1/3, 0, 30
Find w, given that 2*w**3/11 - 138*w**2/11 + 520*w/11 = 0.
0, 4, 65
Factor 2*l**3/9 + 230*l**2/3 - 692*l/9.
2*l*(l - 1)*(l + 346)/9
Suppose 3*u**3/8 + 27*u**2/8 + 69*u/8 + 45/8 = 0. Calculate u.
-5, -3, -1
Factor 6*v**2/11 + 152*v/11 - 104/11.
2*(v + 26)*(3*v - 2)/11
Find u, given that u**2 - 198*u - 808 = 0.
-4, 202
Factor -5*b**4/4 - 537*b**3/4 + 1641*b**2/4 - 1651*b/4 + 138.
-(b - 1)**3*(5*b + 552)/4
Factor -2*n**3/3 + 274*n**2/3 + 554*n/3 + 278/3.
-2*(n - 139)*(n + 1)**2/3
Factor -4*f**2 + 92*f - 360.
-4*(f - 18)*(f - 5)
Factor -u**4/3 - 76*u**3/3 + 82*u**2/3 + 388*u/3 + 77.
-(u - 3)*(u + 1)**2*(u + 77)/3
Determine i so that 5*i**2 - 4360*i + 950480 = 0.
436
Let -9*o**3 - 174*o**2 + 144*o + 480 = 0. Calculate o.
-20, -4/3, 2
Solve -i**3/4 + 1983*i**2/4 - 1310763*i/4 + 288804781/4 = 0 for i.
661
Factor 3*w**4/7 + 6*w**3 + 21*w**2.
3*w**2*(w + 7)**2/7
Let -2*x**2/7 + 168*x - 1174/7 = 0. What is x?
1, 587
Solve -h**4/8 + 3*h**3/4 - 5*h**2/8 - 3*h + 9/2 = 0.
-2, 2, 3
Factor -x**2/6 - x - 4/3.
-(x + 2)*(x + 4)/6
Determine h, given that 16*h**5 + 380*h**4 + 2948*h**3 + 9124*h**2 + 10140*h + 3600 = 0.
-12, -5, -1, -3/4
Factor -m**2/3 - 23*m.
-m*(m + 69)/3
Solve 4*a**5 - 16*a**4 + 20*a**3 - 8*a**2 = 0.
0, 1, 2
Solve 5*w**5 - 370*w**4 - 400*w**3 + 1890*w**2 - 1125*w = 0 for w.
-3, 0, 1, 75
Factor 13*g**2/4 - 3*g/2.
g*(13*g - 6)/4
Let 2*v**4 + 4*v**3 - 8*v**2 - 16*v = 0. Calculate v.
-2, 0, 2
Factor 2*m**2 + 10*m + 8.
2*(m + 1)*(m + 4)
Let -3*s**4/7 - 15*s**3 - 411*s**2/7 + 1149*s/7 - 90 = 0. What is s?
-30, -7, 1
What is p in 2*p**4 - 256*p**3 + 10836*p**2 - 147920*p - 159014 = 0?
-1, 43
Factor -7*p**4 + 27*p**3 - 31*p**2 + 9*p + 2.
-(p - 2)*(p - 1)**2*(7*p + 1)
Solve 3*l**2 - 12372*l + 12755532 = 0.
2062
Factor -5*s**2 - 95*s - 420.
-5*(s + 7)*(s + 12)
Factor i**5/2 + 22*i**4 + 673*i**3/2 + 1981*i**2 + 3038*i + 1372.
(i + 1)**2*(i + 14)**3/2
Factor g**3 + 82*g**2/5 - 179*g/5 + 92/5.
(g - 1)**2*(5*g + 92)/5
Solve -2*b**2/3 - 32*b + 200/3 = 0 for b.
-50, 2
Factor -5*u**4 + 505*u**3 - 5975*u**2 + 22755*u - 27720.
-5*(u - 88)*(u - 7)*(u - 3)**2
Factor s**3/4 - s**2/2 - 19*s/4 + 5.
(s - 5)*(s - 1)*(s + 4)/4
Determine x, given that 33*x**5/5 + 27*x**4/5 - 534*x**3/5 - 432*x**2/5 + 96*x/5 = 0.
-4, -1, 0, 2/11, 4
Factor 2*o**2 + 40*o + 102.
2*(o + 3)*(o + 17)
Factor -4*t**5 + 16*t**4 - 20*t**3 + 8*t**2.
-4*t**2*(t - 2)*(t - 1)**2
Factor 6*f**2 - 2079