 + 1916*r - 107760.
-2*(r - 898)*(r - 60)
Determine t, given that 2*t**5/3 + 222*t**4 + 25324*t**3/3 + 85332*t**2 - 8442*t - 85554 = 0.
-291, -21, -1, 1
Solve -3*w**2/7 + 160581*w/7 = 0.
0, 53527
Factor 5*s**2 + 2010*s - 10175.
5*(s - 5)*(s + 407)
Let -3*w**3/5 + 646092*w**2/5 - 2584332*w/5 + 516864 = 0. What is w?
2, 215360
Let -2*d**3/5 + 424144*d**2/5 - 22487266592*d/5 = 0. What is d?
0, 106036
Determine j so that -j**3/2 + 11121*j**2 - 88944*j + 177872 = 0.
4, 22234
Factor -n**4 + 203*n**3 - 1891*n**2 - 7527*n.
-n*(n - 193)*(n - 13)*(n + 3)
What is m in -5*m**3 + 2390*m**2 + 19380*m + 29160 = 0?
-6, -2, 486
Factor -n**3/2 + 981*n**2/2 - 24999*n/2 + 161395/2.
-(n - 955)*(n - 13)**2/2
Suppose -2*p**2 - 1884*p - 24154 = 0. What is p?
-929, -13
Solve -2*x**3/9 + 4*x**2 + 698*x/9 + 220/3 = 0 for x.
-11, -1, 30
Factor 2*g**2 - 202*g/3 + 1540/3.
2*(g - 22)*(3*g - 35)/3
What is f in 6*f**5 + 5769*f**4 - 20244*f**3 + 20259*f**2 - 5790*f = 0?
-965, 0, 1/2, 1, 2
Find m, given that 3*m**3/4 + 189*m**2/4 - 5439*m/4 + 14535/4 = 0.
-85, 3, 19
Suppose -2*b**2/5 + 54*b/5 + 173096/5 = 0. What is b?
-281, 308
Factor m**2/6 + 1758*m + 4635846.
(m + 5274)**2/6
Factor 3*u**3 + 159*u**2 + 2190*u + 8568.
3*(u + 7)*(u + 12)*(u + 34)
Factor n**2 - 3907*n + 15612.
(n - 3903)*(n - 4)
Suppose r**2/4 + 7053*r/4 = 0. Calculate r.
-7053, 0
Determine r so that 2*r**5/11 - 394*r**4/11 + 12820*r**3/11 + 652012*r**2/11 + 5081610*r/11 - 5746050/11 = 0.
-15, 1, 113
Find v such that -3*v**5 - 3751*v**4/5 - 15053*v**3/5 - 11557*v**2/5 + 1236*v/5 + 1476/5 = 0.
-246, -3, -1, -2/5, 1/3
Factor v**4 + 6*v**3 - 3732*v**2 - 98198*v - 94461.
(v - 69)*(v + 1)*(v + 37)**2
What is s in -3*s**5/7 - 10791*s**4/7 - 9719973*s**3/7 - 29062881*s**2/7 = 0?
-1797, -3, 0
Let -3*u**5 + 357*u**4 - 1527*u**3 - 20697*u**2 - 18810*u = 0. Calculate u.
-5, -1, 0, 11, 114
Solve -u**3/3 + 36*u**2 + 279631*u/3 + 93174 = 0 for u.
-477, -1, 586
Determine o, given that -73205*o**5 + 5124350*o**4 + 4840*o**3 - 338800*o**2 - 80*o + 5600 = 0.
-2/11, 2/11, 70
Solve -49*b**5/8 - 733*b**4/8 - 1881*b**3/8 - 1735*b**2/8 - 257*b/4 + 3 = 0 for b.
-12, -1, 2/49
Find u, given that -u**3 - 155*u**2 - 1036*u = 0.
-148, -7, 0
Solve -2*n**2/17 - 974154*n/17 = 0 for n.
-487077, 0
Determine z, given that -2*z**5 - 38*z**4 + 278*z**3 + 782*z**2 - 3420*z - 7200 = 0.
-24, -3, -2, 5
Suppose -7365*c**3/2 + 7368*c**2 - 7377*c/2 + 3 = 0. Calculate c.
2/2455, 1
Suppose -2*n**2 + 1012*n = 0. Calculate n.
0, 506
Determine r so that 4*r**2/7 + 27480*r/7 + 47196900/7 = 0.
-3435
Let -2*w**4/5 - 908*w**3/5 - 898*w**2/5 + 3632*w/5 + 3624/5 = 0. What is w?
-453, -2, -1, 2
Find k such that 100*k**4 - 6465*k**3 - 61530*k**2 + 42065*k - 6570 = 0.
-9, 1/4, 2/5, 73
Find g such that 26*g**5/11 - 238*g**4/11 + 426*g**3/11 - 22*g**2 + 28*g/11 = 0.
0, 2/13, 1, 7
Factor -g**2/3 - 93386*g/3 - 2180236249/3.
-(g + 46693)**2/3
Suppose 2*x**3/7 - 24316*x**2/7 - 48640*x/7 = 0. Calculate x.
-2, 0, 12160
Suppose -3*s**5/2 - 324*s**4 - 47067*s**3/2 - 590001*s**2 - 1110690*s - 543900 = 0. What is s?
-74, -70, -1
Factor -2*y**4 + 388*y**3 + 1982*y**2 + 1592*y.
-2*y*(y - 199)*(y + 1)*(y + 4)
Factor -2*g**3/3 - 436*g**2/3 + 1822*g - 4140.
-2*(g - 9)*(g - 3)*(g + 230)/3
Factor -w**3 - 120417*w**2 + 120418*w.
-w*(w - 1)*(w + 120418)
Factor 2*s**3/3 - 255050*s**2/3 + 8130930224*s/3 + 8131695392.
2*(s - 63764)**2*(s + 3)/3
Factor 3*d**2 + 24066*d - 506709.
3*(d - 21)*(d + 8043)
Factor z**3 - 136*z**2 - 4*z + 544.
(z - 136)*(z - 2)*(z + 2)
Suppose -27*d**2/2 - 341*d/2 - 466 = 0. Calculate d.
-233/27, -4
Let 3*y**4 - 857*y**3 - 2016*y**2 - 4*y + 1152 = 0. Calculate y.
-2, -1, 2/3, 288
Factor -3*u**3 + 4440*u**2 - 117609*u - 122052.
-3*(u - 1453)*(u - 28)*(u + 1)
Determine h so that 108*h**5 - 756324*h**4 - 72*h**3 + 504248*h**2 - 224100*h + 28012 = 0.
-1, 1/3, 7003
Factor 4*o**2 + 101416*o + 608352.
4*(o + 6)*(o + 25348)
Factor 2*w**2 - 3748*w + 7488.
2*(w - 1872)*(w - 2)
Factor 4*q**3 + 87684*q**2 + 350688*q + 350672.
4*(q + 2)**2*(q + 21917)
What is a in -15*a**3/2 - 8118*a**2 - 51666*a - 19368 = 0?
-1076, -6, -2/5
Factor -7966*v**3 - 111520*v**2 - 390278*v + 196.
-2*(v + 7)**2*(3983*v - 2)
Let -g**4/3 - 21*g**3 - 1076*g**2/3 - 1820*g = 0. What is g?
-39, -14, -10, 0
Let -p**4/6 - 35*p**3/3 - 394*p**2/3 + 2012*p/3 - 720 = 0. What is p?
-54, -20, 2
Factor -3*k**2 + 831*k + 8610.
-3*(k - 287)*(k + 10)
Solve -p**3 + 65*p**2 + 4488*p - 291852 = 0 for p.
-67, 66
Factor 2*j**2/11 + 1632*j/11 - 3272/11.
2*(j - 2)*(j + 818)/11
Let -a**4/4 - 219*a**3/4 - 2913*a**2/4 - 8845*a/4 - 3075/2 = 0. Calculate a.
-205, -10, -3, -1
Factor 3*h**3 - 13017*h**2 - 301050*h + 314064.
3*(h - 4362)*(h - 1)*(h + 24)
Factor -2*r**2 + 154*r - 2960.
-2*(r - 40)*(r - 37)
Factor 3*o**5/7 + 24*o**4/7 + 72*o**3/7 + 102*o**2/7 + 69*o/7 + 18/7.
3*(o + 1)**3*(o + 2)*(o + 3)/7
Determine q, given that -q**4 - 1901*q**3 - 900594*q**2 + 2715104*q - 1812608 = 0.
-952, 1, 2
Factor 2*z**2/3 + 890*z + 13300/3.
2*(z + 5)*(z + 1330)/3
Factor -x**3/4 + 299*x**2/4 + 1186*x - 2669.
-(x - 314)*(x - 2)*(x + 17)/4
Factor -s**2/6 + 68902*s - 7121228406.
-(s - 206706)**2/6
Solve -2*w**4 - 286*w**3 - 3894*w**2 - 6938*w - 3328 = 0.
-128, -13, -1
Factor 8*z**4/5 - 8414*z**3/5 + 2211304*z**2/5 + 553352*z/5.
2*z*(z - 526)**2*(4*z + 1)/5
Factor -2*f**2/5 + 80604*f - 4060628010.
-2*(f - 100755)**2/5
Let -5*q**2 + 19425*q + 19430 = 0. Calculate q.
-1, 3886
Let 3*y**2 - 7161348*y + 4273742098092 = 0. Calculate y.
1193558
Find x, given that -x**2 - 21530*x - 115885225 = 0.
-10765
Factor 5*p**2 - 18145*p + 36270.
5*(p - 3627)*(p - 2)
Solve -5*l**4 - 30670*l**3 - 47550945*l**2 - 1590239500*l - 13442112500 = 0.
-3050, -17
Find w, given that -5*w**3 - 34865*w**2 + 5*w + 34865 = 0.
-6973, -1, 1
Determine j so that -2*j**2/15 - 66516*j/5 - 1659141846/5 = 0.
-49887
Factor -4*v**4 - 20520*v**3 + 494208*v**2 - 2968704*v.
-4*v*(v - 12)**2*(v + 5154)
Factor q**5/2 + 872*q**4 + 381063*q**3 + 759512*q**2 + 758641*q/2.
q*(q + 1)**2*(q + 871)**2/2
Factor -3*v**4 - 150*v**3 + 981*v**2 - 1500*v + 672.
-3*(v - 4)*(v - 1)**2*(v + 56)
Factor 3*w**2/7 + 375*w - 247938/7.
3*(w - 86)*(w + 961)/7
Factor -4*o**2/3 - 2122*o/3 - 1760.
-2*(o + 528)*(2*o + 5)/3
Factor 5*z**3 - 376040*z**2 + 7070680105*z - 14139856090.
5*(z - 37603)**2*(z - 2)
Determine q so that q**5 + 198*q**4 + 13833*q**3 + 388476*q**2 + 3332340*q = 0.
-66, -51, -15, 0
Factor -h**2/3 - 238*h/3 - 1387.
-(h + 19)*(h + 219)/3
What is r in r**3 + 787*r**2 + 145912*r = 0?
-488, -299, 0
Factor 5*c**3 - 15*c**2 - 20465*c + 20475.
5*(c - 65)*(c - 1)*(c + 63)
Factor 4*t**4 - 96*t**3 + 524*t**2 - 816*t.
4*t*(t - 17)*(t - 4)*(t - 3)
Solve -3*d**2/2 + 1872*d + 134232 = 0.
-68, 1316
Suppose y**4/4 - 41*y**3/2 + 2025*y**2/4 - 3402*y + 2916 = 0. Calculate y.
1, 9, 36
Factor 2*b**2 - 34340*b.
2*b*(b - 17170)
Factor 2*u**2/7 + 234*u/7 + 3060/7.
2*(u + 15)*(u + 102)/7
Factor r**2 + 345534*r + 29848436289.
(r + 172767)**2
Factor -5*k**3 - 1030*k**2 + 20*k + 4120.
-5*(k - 2)*(k + 2)*(k + 206)
Suppose -3*v**3 - 792*v**2 + 11529*v - 40866 = 0. Calculate v.
-278, 7
Suppose 3*c**4 + 48*c**3 - 5310*c**2 - 21936*c + 27195 = 0. Calculate c.
-49, -5, 1, 37
Solve -3*i**5/2 - 2079*i**4 - 6225*i**3 - 2070*i**2 + 12453*i/2 + 4149 = 0.
-1383, -2, -1, 1
Solve -5*d**2 - 1140*d + 8225 = 0.
-235, 7
Determine x, given that -3*x**2 - 15*x + 6192 = 0.
-48, 43
What is c in c**4 + 26155*c**3 + 104608*c**2 + 104604*c = 0?
-26151, -2, 0
Suppose x**2 + 156304*x + 6107735104 = 0. What is x?
-78152
Factor p**3 + 474485*p**2.
p**2*(p + 474485)
Let 26*g**2/9 - 1850*g/9 - 1168/3 = 0. What is g?
-24/13, 73
Determine n so that -18*n**4 + 111000*n**3 - 171050984*n**2 - 228216000*n - 76088448 = 0.
-2/3, 3084
Find c, given that -2*c**5/19 + 98*c**4/19 - 82*c**3/19 - 698*c**2/19 + 1260*c/19 - 576/19 = 0.
-3, 1, 2, 48
Factor -2*n**3/7 + 444*n**2/7 - 960*n + 26368/7.
-2*(n - 206)*(n - 8)**2/7
Factor -3*n**2 - 5943*n + 77766.
-3*(n - 13)*(n + 1994)
Factor -25*r**3 - 11560295*r**2 - 9248224*r - 1849644.
-(r + 462411)*(5*r + 2)**2
Find m, given that 3*m**2/2 - 2108313*m + 1481661235323/2 = 0.
702771
Suppose -o**2/4 + 170723*o/2 - 29146342729/4 = 0. What is o?
170723
Factor -t**3/2 - 1547*t**2 - 2380785*t/2 + 9622404.
-(t - 8)*(t + 1551)**2/2
Suppose 