*z**2 + 17024*z/3 = 0.
-2128, -1, 0, 2
Factor t**2 - 147*t + 432.
(t - 144)*(t - 3)
Factor 14268*w**2/7 - 85604*w/7 - 24/7.
4*(w - 6)*(3567*w + 1)/7
Solve 4*r**3 + 1541*r**2 - 2706*r + 1161 = 0.
-387, 3/4, 1
What is w in 2*w**4/5 - 114*w**3/5 - 236*w**2/5 = 0?
-2, 0, 59
Factor -5*d**2/3 + 2410*d/3 - 3975.
-5*(d - 477)*(d - 5)/3
Factor -53*m**3 + 10916*m**2 - 561865*m - 21218.
-(m - 103)**2*(53*m + 2)
Factor x**5 - 3565*x**4 + 3168375*x**3 + 15931125*x**2.
x**2*(x - 1785)**2*(x + 5)
Factor 3*g**4 + 165*g**3 + 2406*g**2 + 7740*g + 7128.
3*(g + 2)**2*(g + 18)*(g + 33)
Factor 3*d**2 - 1854*d.
3*d*(d - 618)
Determine s so that -2*s**3/3 + 46*s**2/3 + 1120*s/3 + 1664 = 0.
-8, 39
Factor o**3/8 + 1485*o**2/8 - 1117*o/2 - 744.
(o - 4)*(o + 1)*(o + 1488)/8
Find k, given that k**5/3 + 8*k**4 + 74*k**3/3 - 124*k**2/3 - 25*k + 100/3 = 0.
-20, -5, -1, 1
Find t, given that -t**2 + 2141*t + 10730 = 0.
-5, 2146
Let -2*b**4 + 172*b**3 - 3474*b**2 + 6440*b - 3136 = 0. Calculate b.
1, 28, 56
Factor 3*j**3 + 249*j**2 - 2136*j + 4368.
3*(j - 4)**2*(j + 91)
Factor -54*l**4/11 + 3078*l**3/11 - 5220*l**2 + 329672*l/11 + 390224/11.
-2*(l + 1)*(3*l - 58)**3/11
Factor -4*k**3 - 1912*k**2 - 14960*k + 37600.
-4*(k - 2)*(k + 10)*(k + 470)
Factor k**2 + 2029*k - 65952.
(k - 32)*(k + 2061)
Factor 7*m**4 + 993134*m**3 + 46967482296*m**2 + 740404337047200*m + 211540262242176.
(m + 47292)**3*(7*m + 2)
Factor -w**3/6 + 70*w**2/3 + 1225*w/2 - 128625.
-(w - 105)**2*(w + 70)/6
Determine p, given that 3*p**2/7 - 235524*p/7 + 4622629548/7 = 0.
39254
Find q such that 2*q**4 - 4938*q**3 - 34656*q**2 - 19832*q + 59424 = 0.
-6, -2, 1, 2476
Find r such that -4*r**3 - 102241*r**2 - 945396*r - 229959 = 0.
-25551, -9, -1/4
Determine a so that 3*a**3 - 213*a**2 - 11343*a - 118047 = 0.
-19, 109
Let -v**4/3 - 10*v**3/3 + 473*v**2 + 14440*v/3 + 36100/3 = 0. What is v?
-38, -5, 38
Factor -r**3 - 4514*r**2 - 9025*r - 4512.
-(r + 1)**2*(r + 4512)
Determine b so that b**2/6 - 6139*b/3 + 4092 = 0.
2, 12276
Find k, given that -2*k**3/3 - 80008*k**2/3 - 240010*k/3 - 160004/3 = 0.
-40001, -2, -1
Solve -5*s**5/4 - 59*s**4/4 - 51*s**3 - 67*s**2 - 28*s = 0 for s.
-7, -2, -4/5, 0
Suppose -3*a**2/8 + 48*a - 1125/8 = 0. Calculate a.
3, 125
Solve -3*r**5 - 75*r**4 + 2343*r**3 + 543*r**2 - 15804*r - 13932 = 0.
-43, -2, -1, 3, 18
Solve 472*t**2 + 940*t - 8 = 0.
-2, 1/118
Let d**5/2 - 1201*d**4/3 + 5576*d**3/3 - 3184*d**2/3 = 0. What is d?
0, 2/3, 4, 796
Factor -v**5 + 2974*v**4 - 2949214*v**3 + 976182568*v**2 - 967349785*v - 1946484542.
-(v - 991)**3*(v - 2)*(v + 1)
Find b such that -5*b**2 - 145*b - 600 = 0.
-24, -5
Let -34*f**2 - 96*f + 1800 = 0. What is f?
-150/17, 6
Factor -2*h**2/11 + 2260*h/11 - 138450/11.
-2*(h - 1065)*(h - 65)/11
Suppose 4*n**2 - 8636*n + 51672 = 0. Calculate n.
6, 2153
Find s such that -5234*s**2 + 31420*s - 96 = 0.
8/2617, 6
Solve -2*d**4 - 28*d**3 + 4280*d**2 + 17392*d + 17472 = 0 for d.
-52, -2, 42
Factor -5*f**2 - 767550*f - 29456650125.
-5*(f + 76755)**2
Let 2*u**3 - 46582*u**2 - 93178*u + 139758 = 0. What is u?
-3, 1, 23293
Factor -3*a**2 + 3897*a + 7806.
-3*(a - 1301)*(a + 2)
Suppose 5*u**3 + 105*u**2 - 1640*u + 3840 = 0. What is u?
-32, 3, 8
Determine z, given that 2*z**3/5 + 432*z**2/5 + 21018*z/5 + 295988/5 = 0.
-154, -31
Factor -f**4/4 - 65*f**3/4 + 563*f**2/4 - 1515*f/4 + 657/2.
-(f - 3)**2*(f - 2)*(f + 73)/4
Factor -2*y**5 + 19234*y**4 + 57714*y**3 + 57718*y**2 + 19240*y.
-2*y*(y - 9620)*(y + 1)**3
Let -4*a**5 - 56*a**4 + 1420*a**3 + 224*a**2 - 5616*a = 0. What is a?
-27, -2, 0, 2, 13
Solve -2*i**2 - 52396*i - 52394 = 0.
-26197, -1
Determine r, given that 4*r**3 - 35816*r**2 - 35828*r + 71640 = 0.
-2, 1, 8955
Solve 3*f**4 + 2118*f**3 + 18753*f**2 - 46002*f = 0 for f.
-697, -11, 0, 2
Determine c, given that c**5/4 - 15*c**4/4 - 3177*c**3/4 + 9639*c**2/4 = 0.
-51, 0, 3, 63
Factor 96*u**2 + 27*u.
3*u*(32*u + 9)
Factor i**3/3 - 49*i**2/3 + 511*i/3 + 187.
(i - 33)*(i - 17)*(i + 1)/3
Let -v**2 + 276*v + 556 = 0. What is v?
-2, 278
Factor 32*o**3 + 12464*o**2 + 6226*o + 778.
2*(o + 389)*(4*o + 1)**2
Solve p**3/3 + 259*p**2/3 + 344*p/3 - 2514640/3 = 0 for p.
-172, 85
Factor -a**3 - 487*a**2 - 58555*a + 180075.
-(a - 3)*(a + 245)**2
Solve 2*o**3 - 90932*o**2/5 + 181834*o/5 - 90912/5 = 0.
1, 45456/5
Factor -f**2/4 - 54445*f/4 - 13611.
-(f + 1)*(f + 54444)/4
Factor 3*w**2/2 + 354*w - 9711/2.
3*(w - 13)*(w + 249)/2
Factor 52*j**3 - 210*j**2 - 616*j + 24.
2*(j - 6)*(j + 2)*(26*j - 1)
Factor m**2 + 7212*m + 122315.
(m + 17)*(m + 7195)
Factor 5*l**3 - 17005*l**2 - 119280*l.
5*l*(l - 3408)*(l + 7)
Suppose -5*u**4 - 675*u**3 - 12400*u**2 - 49500*u - 54720 = 0. What is u?
-114, -16, -3, -2
Factor -2*o**4 + 58*o**3 - 568*o**2 + 2048*o - 1536.
-2*(o - 12)*(o - 8)**2*(o - 1)
Factor -30*f**3 + 245*f**2 + 560*f - 100.
-5*(f - 10)*(f + 2)*(6*f - 1)
Suppose -4*z**4/3 - 40180*z**3/3 + 4*z**2 + 120532*z/3 - 80360/3 = 0. What is z?
-10045, -2, 1
Suppose -2*n**4 + 84*n**3 - 344*n**2 - 948*n - 518 = 0. Calculate n.
-1, 7, 37
Find p such that 4*p**2/7 - 125436*p/7 - 143392 = 0.
-8, 31367
Solve -j**5/6 - 694*j**4/3 - 78150*j**3 + 4448575*j**2/3 + 468901*j/6 - 1482627 = 0.
-703, -1, 1, 18
Factor -3*h**2/2 - 5219*h/4 + 435/2.
-(h + 870)*(6*h - 1)/4
What is s in -s**2 + 7871*s - 7870 = 0?
1, 7870
Determine k, given that 4*k**5/3 - 228*k**4 + 1292*k**3/3 + 10268*k**2/3 - 7232*k + 10816/3 = 0.
-4, 1, 4, 169
Factor y**4/3 + 17*y**3/3 - 1581*y**2 - 9533*y/3 - 4774/3.
(y - 62)*(y + 1)**2*(y + 77)/3
Factor -f**2 - 233674*f - 13650884569.
-(f + 116837)**2
Factor 3*l**2 + 129906*l + 1406297403.
3*(l + 21651)**2
Factor -4*k**2/9 - 59648*k/9 - 59644/9.
-4*(k + 1)*(k + 14911)/9
Factor 5*x**2 + 1780750*x + 158553528125.
5*(x + 178075)**2
Solve 4*h**5 + 53*h**4 - 102*h**3 + 45*h**2 = 0 for h.
-15, 0, 3/4, 1
Determine y so that y**2/2 - 7880*y + 110271/2 = 0.
7, 15753
Find i such that 3*i**3 + 39*i**2 - 9240*i + 162288 = 0.
-69, 28
Suppose s**3 + 3911*s**2 - 23493*s + 35253 = 0. Calculate s.
-3917, 3
Let -2*h**5 - 342*h**4 - 13736*h**3 + 76032*h**2 - 61952*h = 0. What is h?
-88, 0, 1, 4
Let 3*b**3 + 4992*b**2 + 2548935*b + 367008246 = 0. What is b?
-711, -242
Find q such that q**5/4 + 259*q**4/2 + 46971*q**3/2 + 1667164*q**2 + 129895841*q/4 + 116930169/2 = 0.
-163, -27, -2
Factor 3*o**4 - 210*o**3 + 3123*o**2 + 23532*o - 131424.
3*(o - 37)**2*(o - 4)*(o + 8)
Factor l**2/2 + 509*l/2 + 9594.
(l + 41)*(l + 468)/2
Solve -o**3/2 - 545*o**2/2 - 1617*o = 0 for o.
-539, -6, 0
Factor 2*t**5 + 1566*t**4 - 12*t**3 - 9380*t**2 + 12522*t - 4698.
2*(t - 1)**3*(t + 3)*(t + 783)
Let 2*s**3/13 + 382630*s**2/13 + 18300523296*s/13 - 18300905928/13 = 0. What is s?
-95658, 1
What is l in 2*l**3/7 + 386*l**2/7 - 2370*l/7 + 3582/7 = 0?
-199, 3
Find v such that -3*v**5 + 100*v**4 - 30*v**3 - 100*v**2 + 33*v = 0.
-1, 0, 1/3, 1, 33
Suppose 2*p**4 - 1264*p**3 + 200970*p**2 - 396900*p = 0. What is p?
0, 2, 315
Let -t**5/7 - 198*t**4/7 - 779*t**3/7 - 578*t**2/7 + 780*t/7 + 776/7 = 0. What is t?
-194, -2, -1, 1
Factor 21*l**4 - 191*l**3/3 - 838*l**2 + 80*l/3.
l*(l - 8)*(l + 5)*(63*l - 2)/3
Suppose q**4 + 963*q**3 + 239827*q**2 + 3818529*q + 3579664 = 0. Calculate q.
-473, -16, -1
Determine i, given that 3*i**3/2 - 741*i**2/2 - 2649*i - 4572 = 0.
-4, -3, 254
Determine i, given that -2*i**3/3 - 39802*i**2 - 594134400*i - 1782045000 = 0.
-29850, -3
Factor d**2/5 + 5406*d/5 + 7306209/5.
(d + 2703)**2/5
Factor -3*h**5 + 3186*h**4 - 849063*h**3 + 1688580*h**2 - 842700*h.
-3*h*(h - 530)**2*(h - 1)**2
Factor -2*o**2/13 + 22752*o/13 + 204930/13.
-2*(o - 11385)*(o + 9)/13
Solve -2*s**2/9 - 13030*s/9 - 8684/3 = 0.
-6513, -2
Factor 15175*y**2 + 30335*y - 30.
5*(y + 2)*(3035*y - 3)
Factor 4*x**3 - 121*x**2/2 - 284*x - 399/2.
(x - 19)*(x + 3)*(8*x + 7)/2
Factor -d**3/2 + 11*d**2/2 + 17*d - 52.
-(d - 13)*(d - 2)*(d + 4)/2
Solve o**3 - 120754*o**2 + 3645261372*o + 7291005768 = 0.
-2, 60378
Factor -20*f**5 + 376*f**4 - 672*f**3.
-4*f**3*(f - 2)*(5*f - 84)
Factor -4*z**4/5 + 39436*z**3/5 - 97219596*z**2/5 + 97180164*z/5.
-4*z*(z - 4929)**2*(z - 1)/5
Suppose -4*z**3 - 1928*z**2 - 305732*z - 15892336 = 0. Calculate z.
-179, -124
Factor -h**4 + 480*h**3 + 27864*h**2 + 513216*h + 3114288.
-(h - 534)*(h + 18)**3
What is k in -25*k**5 - 430*k**4 - 1185*k**3 - 920*k**2 - 