-6, 0, 1, 219/10
Find r, given that -r**2 + 564*r - 4448 = 0.
8, 556
Solve 2*u**2/5 - 398*u - 2000 = 0 for u.
-5, 1000
Factor -12*l**3 - 8788*l**2 - 1636404*l - 10014444.
-4*(l + 363)**2*(3*l + 19)
Factor 2*f**2 - 268*f + 8978.
2*(f - 67)**2
Determine k so that -29*k**5/2 - 785*k**4/2 + 814*k**3 + 58*k**2 = 0.
-29, -2/29, 0, 2
Solve 4*p**3 + 48524*p**2 - 97060*p + 48532 = 0.
-12133, 1
Solve 4*p**2 + 104280*p - 104284 = 0.
-26071, 1
Factor 36*v**2/7 - 1664*v/7 + 12284/7.
4*(v - 37)*(9*v - 83)/7
Factor 2*x**2 - 306*x - 308.
2*(x - 154)*(x + 1)
What is s in 2*s**3/5 + 747742*s**2/5 + 69889388448*s/5 - 69890136192/5 = 0?
-186936, 1
Determine t, given that 98*t**5 - 2828*t**4 - 3888*t**3 + 15520*t**2 + 10400*t - 24000 = 0.
-2, 10/7, 30
Solve -q**3/2 - 4649*q**2/2 + 46601*q/2 + 51249/2 = 0.
-4659, -1, 11
Let 2*g**3 + 884*g**2 + 123170*g + 5516208 = 0. What is g?
-216, -113
Factor 2*w**4/11 + 5086*w**3/11 + 299760*w**2/11 + 4469400*w/11.
2*w*(w + 30)**2*(w + 2483)/11
What is x in 2*x**2/11 + 898*x/11 + 38496/11 = 0?
-401, -48
Factor 2*c**3 - 114*c**2 + 112*c.
2*c*(c - 56)*(c - 1)
Solve -3*o**3/8 + 112509*o**2 - 67509900351*o/8 - 67511700507/4 = 0.
-2, 150013
Let -20*v**4 - 10165*v**3 - 12665*v**2 + 5085*v + 7605 = 0. What is v?
-507, -1, 3/4
Factor -2*m**3 - 9840*m**2 - 11406336*m + 1738293248.
-2*(m - 136)*(m + 2528)**2
Determine d so that -d**2/4 - 6811*d/2 = 0.
-13622, 0
Find v, given that -v**5 + 750*v**4 - 5219*v**3 + 13394*v**2 - 14868*v + 5944 = 0.
1, 2, 743
Factor 2*p**2/5 - 11942*p/5 - 11944/5.
2*(p - 5972)*(p + 1)/5
Factor 2*p**2/3 - 452*p/3 - 1248.
2*(p - 234)*(p + 8)/3
Factor 3*o**3 - 273*o**2 + 7497*o - 64827.
3*(o - 49)*(o - 21)**2
Let 2*n**2 + 16732*n - 16734 = 0. Calculate n.
-8367, 1
Solve 5*a**5 - 170*a**4 + 1555*a**3 - 2470*a**2 = 0 for a.
0, 2, 13, 19
Factor 10*g**4/11 + 258*g**3/11 + 2016*g**2/11 + 4968*g/11.
2*g*(g + 6)**2*(5*g + 69)/11
Factor -3*j**3 - 3219*j**2 + 3*j + 3219.
-3*(j - 1)*(j + 1)*(j + 1073)
Find n such that 3*n**2 + 2646*n - 7965 = 0.
-885, 3
Factor 1494*s**3/7 - 1464*s**2/7 + 478*s/7 - 52/7.
2*(3*s - 1)**2*(83*s - 26)/7
Solve -2*j**2/13 + 2380*j/13 + 16758/13 = 0.
-7, 1197
Factor -k**4 - 2924*k**3 - 2011108*k**2 + 184703232*k - 3990196224.
-(k - 42)**2*(k + 1504)**2
Find c, given that c**2 + 856*c/3 - 572/3 = 0.
-286, 2/3
What is s in -s**2/3 - 14428*s/3 + 9620 = 0?
-14430, 2
Solve v**2/2 - 146006*v + 10658876018 = 0.
146006
Find t, given that 15*t**4/4 - 264*t**3 - 15615*t**2/4 + 27741*t - 10455 = 0.
-17, 2/5, 5, 82
What is q in -6*q**3 - 596*q**2 + 5634*q + 1944 = 0?
-108, -1/3, 9
Factor v**2/3 - 1291*v - 27160/3.
(v - 3880)*(v + 7)/3
Let 20*p**3 - 1286836*p**2 + 20699207452*p + 4139892964 = 0. Calculate p.
-1/5, 32171
Determine i so that i**5/2 + 13*i**4 - 3178*i**3 - 12932*i**2 + 12704*i + 51520 = 0.
-92, -4, -2, 2, 70
Find s such that -2*s**5 + 116*s**4 - 2196*s**3 + 13408*s**2 + 2198*s - 13524 = 0.
-1, 1, 14, 21, 23
Determine k so that -4*k**5 - 232*k**4 - 2532*k**3 - 2336*k**2 + 28336*k - 23232 = 0.
-44, -11, -6, 1, 2
Determine o so that 2*o**3/9 + 724*o**2/3 + 47026*o/9 + 74480/3 = 0.
-1064, -15, -7
Find h, given that -h**5/2 + h**4 + 69*h**3/2 + 65*h**2 - 100*h = 0.
-5, -4, 0, 1, 10
Factor -t**2/2 - 3281*t/2 + 6570.
-(t - 4)*(t + 3285)/2
Factor 3*r**3 + 2418*r**2 + 496755*r + 3820824.
3*(r + 8)*(r + 399)**2
Solve -48*o**5 + 874743*o**4 + 2788560*o**3 + 3116742*o**2 + 1367016*o + 164043 = 0 for o.
-1, -3/16, 18227
Suppose -r**3/3 - 70*r**2/3 - 368*r = 0. What is r?
-46, -24, 0
Solve f**3 - 3559*f**2 + 3421327*f - 443731977 = 0 for f.
153, 1703
Factor -a**4/4 - 3*a**3/4 + 100*a**2 - 99*a.
-a*(a - 18)*(a - 1)*(a + 22)/4
What is y in -3*y**4/2 + 243*y**3/4 - 117*y**2/4 - 30*y = 0?
-1/2, 0, 1, 40
Factor 732*y**2 - 6880*y + 2628.
4*(y - 9)*(183*y - 73)
Factor -v**2/2 - 341*v/6 - 3895/3.
-(v + 82)*(3*v + 95)/6
Find d such that 4*d**3 + 2052*d**2 - 33600*d + 135424 = 0.
-529, 8
Let -24*u**4 - 6135*u**3 - 24276*u**2 - 30243*u - 12078 = 0. What is u?
-2013/8, -2, -1
Determine o, given that -o**2/5 + 227*o/5 + 21158/5 = 0.
-71, 298
Factor -3*a**3 - 36384*a**2 - 72732*a + 291024.
-3*(a - 2)*(a + 4)*(a + 12126)
Let 8*m**3 + 30*m**2 - 48*m + 10 = 0. What is m?
-5, 1/4, 1
What is r in 27*r**3/8 - 3387*r**2/2 - 128229*r/8 + 252945/4 = 0?
-110/9, 3, 511
Let 2*h**4 - 12*h**3 - 24*h**2 + 140*h + 150 = 0. Calculate h.
-3, -1, 5
What is z in -2*z**2 - 93590*z - 280752 = 0?
-46792, -3
Solve 2*c**3/13 - 398*c**2/13 + 11912*c/13 + 12312/13 = 0 for c.
-1, 38, 162
Suppose 2*s**4/5 - 684*s**3/5 + 5658*s**2 - 313168*s/5 = 0. Calculate s.
0, 23, 296
Factor -3*g**3 + 131949*g**2 + 131952*g.
-3*g*(g - 43984)*(g + 1)
Factor 2*b**3/5 - 50042*b**2/5 + 100078*b/5 - 50038/5.
2*(b - 25019)*(b - 1)**2/5
What is o in 3*o**5/4 - 57*o**4/2 + 1179*o**3/4 - 405*o**2 - 729*o = 0?
-1, 0, 3, 18
Determine r so that -r**3/6 + 30293*r**2/6 - 121148*r/3 + 80760 = 0.
4, 30285
Factor 3*z**2 + 418527*z + 418524.
3*(z + 1)*(z + 139508)
Let f**3/2 - 447*f**2 + 218025*f/2 - 3973750 = 0. What is f?
44, 425
Find y such that -3*y**2 + 16053*y = 0.
0, 5351
What is b in -4*b**4 + 584*b**3 + 14976*b**2 + 96184*b + 81796 = 0?
-11, -1, 169
Suppose -z**4/7 - 23*z**3/7 + 16*z**2 + 92*z/7 - 432/7 = 0. What is z?
-27, -2, 2, 4
Solve c**2/8 - 175*c/4 - 1122 = 0 for c.
-24, 374
Factor 2*p**3 - 192*p**2 + 2178*p + 20412.
2*(p - 81)*(p - 21)*(p + 6)
Factor -5*x**3 - 38980*x**2.
-5*x**2*(x + 7796)
Factor -3*f**3/4 + 5757*f**2/2 - 2770536*f + 16519752.
-3*(f - 1916)**2*(f - 6)/4
What is u in u**2/3 + 14726*u/3 = 0?
-14726, 0
Factor 2*o**2/11 - 3050*o - 67108/11.
2*(o - 16777)*(o + 2)/11
Let 21*c**5/8 + 2211*c**4/8 - 34167*c**3/8 + 19353*c**2/8 + 409023*c/4 + 28917 = 0. Calculate c.
-119, -4, -2/7, 9
Factor 8*i**3 - 3580*i**2 + 212908*i - 105560.
4*(i - 377)*(i - 70)*(2*i - 1)
Factor 4*l**3 + 31320*l**2 - 4*l - 31320.
4*(l - 1)*(l + 1)*(l + 7830)
Factor y**5/7 - 79*y**4/7 - 89*y**3/7 + 731*y**2/7 - 884*y/7 + 320/7.
(y - 80)*(y - 1)**3*(y + 4)/7
Find i, given that 5*i**3 - 44475*i**2 + 266715*i - 400005 = 0.
3, 8889
Determine d so that d**4/2 - 87*d**3/2 + 1006*d**2 - 2478*d - 3528 = 0.
-1, 4, 42
Suppose 3*p**2 - 54462*p - 163413 = 0. Calculate p.
-3, 18157
Let -125*s**4 - 46887650*s**3 - 4396884689945*s**2 + 3517530258060*s - 703507552020 = 0. What is s?
-187551, 2/5
Factor -4*x**2/3 + 5884*x - 35288/3.
-4*(x - 4411)*(x - 2)/3
Find q, given that -16*q**5/7 - 150*q**4 - 22752*q**3/7 - 162432*q**2/7 = 0.
-24, -141/8, 0
Suppose 5*a**2 - 2395*a + 77700 = 0. What is a?
35, 444
Solve h**4/7 + h**3/7 - 3*h**2 - 45*h/7 = 0 for h.
-3, 0, 5
Let -374*v**4 - 9355*v**3 - 53607*v**2 + 62491*v + 845 = 0. What is v?
-13, -5/374, 1
Factor 2*m**2/15 + 872*m/15 + 34496/15.
2*(m + 44)*(m + 392)/15
Let -4*c**4/3 - 128*c**3 - 1052*c**2 - 2024*c/3 + 1856 = 0. Calculate c.
-87, -8, -2, 1
Find g such that 2*g**3 + 8182*g**2 + 8541280*g + 352305536 = 0.
-2024, -43
Factor 4*d**2 + 59464*d - 297420.
4*(d - 5)*(d + 14871)
What is f in -10*f**5/11 + 9404*f**4/11 - 2203330*f**3/11 - 3556992*f**2/11 + 1774728*f/11 = 0?
-2, 0, 2/5, 471
Solve -c**5/4 + 161*c**4/4 - 6107*c**3/4 - 12701*c**2/4 - 1608*c = 0 for c.
-1, 0, 67, 96
Determine f, given that -64*f**3 - 349600*f**2 - 174788*f - 21848 = 0.
-5462, -1/4
Suppose -5*n**5/9 - 234*n**4 + 74663*n**3/9 + 93880*n**2/9 - 14876*n/3 - 61744/9 = 0. What is n?
-454, -1, 4/5, 34
Determine l so that -3*l**5/2 + 527*l**4/2 - 1003*l**3/6 - 2727*l**2/2 - 3844*l/3 - 350 = 0.
-1, -2/3, 3, 175
Factor -3*l**4/4 + 195*l**3 - 768*l**2.
-3*l**2*(l - 256)*(l - 4)/4
Find t, given that 297*t**3/4 - 4515*t**2/2 - 3816*t + 768 = 0.
-16/9, 2/11, 32
Solve -4*d**2 + 47960*d + 95936 = 0 for d.
-2, 11992
Solve -20*f**3 - 13435*f**2 - 2213670*f + 14365125 = 0.
-339, 25/4
Factor -4*w**2 - 6340*w.
-4*w*(w + 1585)
What is t in 2*t**3/19 - 1382*t**2/19 + 144996*t/19 = 0?
0, 129, 562
Suppose -c**5/8 + 21*c**4/4 - 27*c**3/2 - 173*c**2/4 - 195*c/8 = 0. Calculate c.
-1, 0, 5, 39
Factor 3*a**4 + 300*a**3 - 999*a**2 - 7500*a - 8652.
3*(a - 7)*(a + 2)**2*(a + 103)
Factor 3*n**2 + 426*n - 2664.
3*(n - 6)*(n + 148)
Find l such that -l**5/3 + 31*l**4/3 + 90*l**3 - 5508*l**2 + 44712*l = 0.
-23, 0, 18
Solve 6*o**3 - 236*o**2 - 1040*o = 0 for o.
-4, 0, 130/3
Factor 5*x**3 + 16650*x**2 + 13277685*x - 981