1 - 6450*g**2/11 - 29768*g/11 - 31080/11 = 0.
-185, -2, 21
Factor 2*m**3 + 380*m**2 + 23250*m + 450000.
2*(m + 40)*(m + 75)**2
Determine s, given that 5*s**4 - 925*s**3 + 5395*s**2 - 4475*s = 0.
0, 1, 5, 179
Factor -683*h**3 - 2730*h**2 + 3423*h - 10.
-(h - 1)*(h + 5)*(683*h - 2)
Factor -2*t**5 + 133380*t**4.
-2*t**4*(t - 66690)
Factor p**5 + 298*p**4 + 1181*p**3 + 1472*p**2 + 588*p.
p*(p + 1)**2*(p + 2)*(p + 294)
Factor 3*l**3/7 - 9*l**2/7 - 264*l/7 + 180.
3*(l - 7)*(l - 6)*(l + 10)/7
Factor -2*t**3 + 4406*t**2 - 4404*t.
-2*t*(t - 2202)*(t - 1)
Suppose 5*v**4/2 + 195*v**3/2 - 1905*v**2 + 6640*v + 8640 = 0. What is v?
-54, -1, 8
Factor 4*p**3 - 168828*p**2 - 168832*p.
4*p*(p - 42208)*(p + 1)
Factor r**4 + 37*r**3 + 431*r**2 + 1967*r + 2940.
(r + 3)*(r + 7)**2*(r + 20)
Solve -t**3 + 25*t**2 + t - 25 = 0.
-1, 1, 25
Factor i**4 + 131*i**3 + 1098*i**2.
i**2*(i + 9)*(i + 122)
Factor -2*c**5/9 - 4*c**4 - 24*c**3 - 48*c**2.
-2*c**2*(c + 6)**3/9
Solve -2*g**3/11 - 196*g**2/11 - 4882*g/11 - 16520/11 = 0.
-59, -35, -4
Factor r**3 + 16573*r**2 - 33149*r + 16575.
(r - 1)**2*(r + 16575)
Factor -4*x**4 - 5512*x**3 - 1777840*x**2 + 84688800*x.
-4*x*(x - 42)*(x + 710)**2
What is c in -3*c**3 - 5523*c**2 - 2598960*c - 52170300 = 0?
-910, -21
Factor -m**2/5 + 452*m/5 - 29172/5.
-(m - 374)*(m - 78)/5
Factor -b**4 - 21*b**3/4 + 51*b**2/4 + 7*b/2.
-b*(b - 2)*(b + 7)*(4*b + 1)/4
Factor 2*m**2/11 - 90*m/11 - 612/11.
2*(m - 51)*(m + 6)/11
Suppose -v**3/4 - 40*v**2 - 77*v + 316 = 0. Calculate v.
-158, -4, 2
Factor -s**2/2 + 1751*s/2 + 2631.
-(s - 1754)*(s + 3)/2
Find w such that 2*w**2 + 912*w + 13230 = 0.
-441, -15
Suppose -5*q**5 + 1075*q**4 - 2065*q**3 - 13915*q**2 + 14790*q + 25560 = 0. Calculate q.
-3, -1, 2, 4, 213
Let 3*d**4/5 - 30*d**3 + 864*d**2/5 + 40992*d/5 - 75264 = 0. Calculate d.
-16, 10, 28
Determine a, given that 2*a**2 + 622*a - 624 = 0.
-312, 1
Factor u**3 - 3424*u**2 - 61875*u - 278802.
(u - 3442)*(u + 9)**2
Factor -5*w**5/2 - 140*w**4 - 530*w**3 - 520*w**2.
-5*w**2*(w + 2)**2*(w + 52)/2
Factor 4*i**2/5 + 25184*i/5 - 70672.
4*(i - 14)*(i + 6310)/5
Factor -5*n**4 + 280*n**3 + 245*n**2 - 13720*n.
-5*n*(n - 56)*(n - 7)*(n + 7)
Let -2*w**3/3 + 118*w**2/3 - 916*w/3 + 800/3 = 0. What is w?
1, 8, 50
Suppose -b**5/2 - 21*b**4/2 + 5*b**3 + 105*b**2 - 9*b/2 - 189/2 = 0. Calculate b.
-21, -3, -1, 1, 3
Factor -14*g**2/5 + 41576*g/5 + 2376.
-2*(g - 2970)*(7*g + 2)/5
Let 38*t**5/3 - 70*t**4/3 + 26*t**3/3 + 2*t**2 = 0. Calculate t.
-3/19, 0, 1
Let 2*m**5 - 988*m**4 - 76654*m**3 + 62694376*m**2 - 125154848*m + 62538112 = 0. Calculate m.
-236, 1, 364
Solve o**3/2 - 1707*o**2/2 + 679251*o/2 - 78796457/2 = 0 for o.
257, 1193
Suppose 3*n**4 + 2397*n**3 + 4779*n**2 - 2397*n - 4782 = 0. Calculate n.
-797, -2, -1, 1
Factor 295*y**3/6 - 293*y**2/2 - 1484*y/3 - 10.
(y - 5)*(y + 2)*(295*y + 6)/6
Find c, given that -2*c**4/19 - 18028*c**3/19 - 108120*c**2/19 - 216208*c/19 - 144128/19 = 0.
-9008, -2
Solve -4*a**5 - 1436*a**4 - 116128*a**3 + 2283328*a**2 - 11213824*a + 9048064 = 0.
-188, 1, 8
Solve -2*g**4/5 + 1376*g**3/5 + 1378*g**2/5 = 0.
-1, 0, 689
Let -q**5/5 + 58*q**4/5 - 896*q**3/5 + 1568*q**2/5 = 0. Calculate q.
0, 2, 28
Let -g**4/4 - 60*g**3 + 745*g**2/4 + 975*g + 729 = 0. Calculate g.
-243, -2, -1, 6
Find t, given that 3*t**2/2 - 763161*t + 194138237307/2 = 0.
254387
Determine f so that -2*f**5/3 + 17518*f**4 + 2*f**3/3 - 17518*f**2 = 0.
-1, 0, 1, 26277
Let 18*o**4/7 + 948802*o**3/7 - 1686806*o**2/7 + 527134*o/7 + 210852/7 = 0. Calculate o.
-52713, -2/9, 1
Find i, given that i**3/6 - 143*i**2/6 + 211*i/3 - 140/3 = 0.
1, 2, 140
Factor 3*p**2 - 324*p + 5676.
3*(p - 86)*(p - 22)
What is m in -3*m**2/4 + 855603*m/2 - 1711203/4 = 0?
1, 570401
Factor 2*t**2 - 15648*t + 30607488.
2*(t - 3912)**2
Factor 2*y**2 + 2133776*y + 569125002272.
2*(y + 533444)**2
Determine j so that 2*j**3 + 876*j**2 + 4330*j = 0.
-433, -5, 0
Let k**5 + 248*k**4 + 7741*k**3 + 60522*k**2 - 84996*k - 138024 = 0. What is k?
-213, -18, -1, 2
Determine l, given that 4*l**4/3 + 172*l**3/3 - 2752*l**2/3 - 6160*l/3 = 0.
-55, -2, 0, 14
Factor -3*n**2 - 1407450*n - 165076291875.
-3*(n + 234575)**2
Suppose 375*a**5 - 457125*a**4 + 139080120*a**3 + 139391112*a**2 + 44637360*a + 4465200 = 0. What is a?
-2/5, -1/5, 610
Factor -s**4 + 87*s**3 - 414*s**2 + 328*s.
-s*(s - 82)*(s - 4)*(s - 1)
Suppose 3*r**4/5 - 613*r**3/5 + 1414*r**2/5 + 4*r/5 - 808/5 = 0. What is r?
-2/3, 1, 2, 202
Factor k**4/11 - 71*k**3/11 - 7*k**2 + 33*k - 216/11.
(k - 72)*(k - 1)**2*(k + 3)/11
Factor u**3/4 - 2063*u**2 - u/4 + 2063.
(u - 8252)*(u - 1)*(u + 1)/4
Solve i**4 + 13*i**3 + 49*i**2 + 27*i - 90 = 0.
-6, -5, -3, 1
Factor -2*t**4 - 168*t**3 - 330*t**2 - 164*t.
-2*t*(t + 1)**2*(t + 82)
Find g such that 4*g**4/5 - 7*g**3/5 + 3*g**2/5 = 0.
0, 3/4, 1
Factor 52*x**2/7 - 8220*x/7 + 632/7.
4*(x - 158)*(13*x - 1)/7
Solve v**2/6 - 171611*v/3 + 29450335321/6 = 0.
171611
What is j in 2*j**2/5 + 164*j/5 + 3312/5 = 0?
-46, -36
Determine d so that -5*d**2 - 2784485*d - 5568950 = 0.
-556895, -2
Factor u**4/3 - 377*u**3/3 + 5861*u**2/3 - 30835*u/3 + 18050.
(u - 361)*(u - 6)*(u - 5)**2/3
Factor 2*h**3/5 - 13728*h**2 + 589068456*h/5 - 2355175712/5.
2*(h - 17158)**2*(h - 4)/5
Factor 2*a**2/5 - 208*a/5 + 206/5.
2*(a - 103)*(a - 1)/5
Let -5*l**2 + 158020*l - 1421775 = 0. What is l?
9, 31595
Let -4*v**5 + 76*v**4 + 1788*v**3 - 3916*v**2 - 1784*v + 3840 = 0. Calculate v.
-15, -1, 1, 2, 32
Suppose 2*g**5 + 16*g**4 - 26*g**3 - 64*g**2 + 72*g = 0. What is g?
-9, -2, 0, 1, 2
Find d, given that -2*d**3 + 15078*d**2/5 + 33208*d/5 + 3624 = 0.
-6/5, -1, 1510
Find k, given that -11664*k**3/5 - 1645056*k**2/5 - 60916*k/5 - 564/5 = 0.
-141, -1/54
Suppose 10201*r**2 + 657510*r + 10595025 = 0. What is r?
-3255/101
Let a**3/9 - 190*a**2/9 + 187*a/9 + 42 = 0. What is a?
-1, 2, 189
Factor r**4/4 + 203*r**3/4 - 3*r**2/4 - 611*r/4 - 203/2.
(r - 2)*(r + 1)**2*(r + 203)/4
Factor t**2/4 - 32817*t/2 + 1076955489/4.
(t - 32817)**2/4
Factor -2*l**2/9 - 692*l/3 + 1392.
-2*(l - 6)*(l + 1044)/9
Factor -o**3/3 - 130*o**2 - 11859*o + 161604.
-(o - 12)*(o + 201)**2/3
What is g in g**2/5 + 357*g + 59534/5 = 0?
-1751, -34
What is k in -k**5 - 850*k**4 - 63278*k**3 - 1295180*k**2 - 2403921*k - 1171170 = 0?
-770, -39, -1
Factor 2*u**4 + 478*u**3 + 1398*u**2 - 4238*u + 2360.
2*(u - 1)**2*(u + 5)*(u + 236)
Factor 4*g**3 - 232*g**2 - 3836*g - 14112.
4*(g - 72)*(g + 7)**2
Find y such that 12*y**5 + 16725*y**4 - 21066*y**3 - 196659*y**2 + 50220*y = 0.
-1395, -3, 0, 1/4, 4
Find p, given that 4*p**2/3 - 2309032*p + 999680395692 = 0.
865887
Solve -148*l**3 - 160582*l**2/5 + 487966*l/5 + 264 = 0.
-220, -1/370, 3
Find b, given that -b**5/12 + 8887*b**4/12 - 17767*b**3/12 - 26659*b**2/12 + 8884*b/3 + 8885/3 = 0.
-1, 2, 8885
Factor -n**2 - 146*n.
-n*(n + 146)
Find o, given that -3*o**2/2 + 9759*o - 31746027/2 = 0.
3253
Factor -3*f**3 - 13926*f**2 - 111237*f - 97314.
-3*(f + 1)*(f + 7)*(f + 4634)
Solve -337*r**5/2 - 2021*r**4 - 7739*r**3 - 10064*r**2 - 8305*r/2 + 25 = 0.
-5, -1, 2/337
Find m such that m**3 - 444*m**2 + 55965*m - 2169622 = 0.
91, 262
Factor -2*h**2/7 - 14986*h/7.
-2*h*(h + 7493)/7
Factor -r**4 + 23*r**3 + 400*r**2 - 884*r.
-r*(r - 34)*(r - 2)*(r + 13)
Determine n, given that -2*n**3/9 - 40570*n**2/9 + 243482*n/9 - 202910/9 = 0.
-20291, 1, 5
What is r in -9*r**3 + 1320*r**2 - 4707*r - 1716 = 0?
-1/3, 4, 143
Find o, given that -2*o**2 - 764*o + 12736 = 0.
-398, 16
Find o, given that 27*o**4/2 + 27*o**3/2 - 348*o**2 - 846*o - 408 = 0.
-4, -2, -2/3, 17/3
Factor -2*w**3/3 - 2222*w**2/3 + 1484*w.
-2*w*(w - 2)*(w + 1113)/3
Let -3*q**5/8 - 7329*q**4/4 - 3663*q**3 + 3*q**2/4 + 29307*q/8 + 3663/2 = 0. Calculate q.
-4884, -1, 1
Solve -2*p**5 - 122*p**4 + 126*p**3 + 122*p**2 - 124*p = 0 for p.
-62, -1, 0, 1
Solve 4*h**2 - 31928*h - 31932 = 0.
-1, 7983
Let t**2 - 66910*t - 267656 = 0. Calculate t.
-4, 66914
Determine p so that -4*p**5 + 208*p**4 - 172*p**3 - 1680*p**2 + 2448*p = 0.
-3, 0, 2, 51
Solve -2*c**5/9 + 1130*c**4/9 + 11572*c**3/9 - 41476*c**2/9 + 43726*c/9 - 14950/9 = 0 for c.
-13, 1, 575
Let -3*s**2 - 40590*s = 0. Calculate s.
-13530, 0
Find o such that -o**3 + 14153*o**2 + 198289*o + 694183 = 0.
-7, 14167
Factor -4*b**3 + 1027756*b**2 + 2055524*b + 1027764.
-4*(b - 256941)*(b + 1)**2
Facto