)
Factor -u**3/5 + 467*u**2 - 6992*u/5 - 9328/5.
-(u - 2332)*(u - 4)*(u + 1)/5
Find f, given that -2*f**3/3 - 116*f**2 - 5046*f - 195112/3 = 0.
-116, -29
Factor 3*i**4/5 + 307128*i**3 + 196514315154*i**2/5 - 78606647448*i + 196517386443/5.
3*(i - 1)**2*(i + 255941)**2/5
Factor -d**2/5 + 316764*d - 125424289620.
-(d - 791910)**2/5
Find y, given that 3*y**2/5 + 12909474*y/5 + 13887876579723/5 = 0.
-2151579
Find w, given that -4*w**5/5 + 24*w**4/5 + 352*w**3/5 - 128*w**2 - 10752*w/5 - 4096 = 0.
-4, 8, 10
Find q, given that -2*q**2/5 - 26058*q/5 - 26056/5 = 0.
-13028, -1
Solve -4*t**4 + 4356*t**3 - 114468*t**2 - 242020*t - 123192 = 0.
-1, 29, 1062
Suppose 7*w**4 - 1234*w**3 - 19815*w**2 + 27154*w - 6112 = 0. Calculate w.
-16, 2/7, 1, 191
Factor 5*y**2 + 41325*y.
5*y*(y + 8265)
Determine g, given that g**4/2 - 3795*g**3/2 - g**2/2 + 3795*g/2 = 0.
-1, 0, 1, 3795
Suppose -3*f**5 + 126*f**4 + 435*f**3 - 1350*f**2 = 0. Calculate f.
-5, 0, 2, 45
Solve 3*v**2/2 - 16209*v/2 + 56658 = 0 for v.
7, 5396
Solve 6*t**5/7 + 9360*t**4/7 + 529434*t**3 + 43328580*t**2/7 + 75576456*t/7 + 35944560/7 = 0 for t.
-774, -10, -1
Find p such that -2*p**3 + 484*p**2 - 5574*p + 12420 = 0.
3, 9, 230
What is o in -3*o**4 + 219*o**3 - 1611*o**2 + 3345*o - 1950 = 0?
1, 2, 5, 65
Find y, given that -4*y**2/7 - 260972*y/7 + 260976/7 = 0.
-65244, 1
Find a such that -2*a**4/5 - 1396*a**3/5 + 38062*a**2 - 6426632*a/5 + 5510232 = 0.
-819, 5, 58
Factor 2*k**2 - 63104*k.
2*k*(k - 31552)
Factor 3*u**3 + 81*u**2 - 1371*u + 1287.
3*(u - 11)*(u - 1)*(u + 39)
Let 2*j**2/9 - 7580*j/3 - 37950 = 0. What is j?
-15, 11385
Factor -2*n**2 - 14908*n + 14910.
-2*(n - 1)*(n + 7455)
Factor 3*j**3/7 + 41*j**2/7 - 522*j/7 + 88.
(j - 7)*(j + 22)*(3*j - 4)/7
Determine q, given that 5*q**4 + 49230*q**3 + 121278060*q**2 + 484472450*q + 363243615 = 0.
-4921, -3, -1
Factor 3*o**2 - 2742*o - 16560.
3*(o - 920)*(o + 6)
Find t such that t**2 - 13*t - 230 = 0.
-10, 23
Solve 49*r**4 - 50*r**3 - 489*r**2 - 382*r + 8 = 0.
-2, -1, 1/49, 4
Factor -v**3/3 + 34940*v**2/3 - 305480228*v/3 + 4878743104/3.
-(v - 17462)**2*(v - 16)/3
Let -714*k**5 - 1535*k**4/2 + 5887*k**3 + 15713*k**2/2 + 1982*k + 66 = 0. What is k?
-11/4, -1, -2/7, -2/51, 3
Factor v**3/2 + 22*v**2 + 411*v/2 - 828.
(v - 3)*(v + 23)*(v + 24)/2
Solve 5*p**5 + 3150*p**4 + 537970*p**3 + 35824500*p**2 + 820040625*p - 856406250 = 0.
-406, -75, 1
Determine p so that p**2/6 - 29797*p/3 - 19865/2 = 0.
-1, 59595
Factor -3*r**2/7 + 42372*r/7 - 149615532/7.
-3*(r - 7062)**2/7
Suppose 2*u**3/13 + 1588*u**2/13 + 9466*u/13 + 7880/13 = 0. Calculate u.
-788, -5, -1
Factor 3*j**5 - 329*j**4 + 1794*j**3 + 8136*j**2 - 70816*j + 119424.
(j - 4)**3*(j + 6)*(3*j - 311)
What is n in 760*n**3/9 - 3378*n**2 + 80*n/9 = 0?
0, 1/380, 40
Suppose q**4/2 - 148*q**3 + 10944*q**2 + 2368*q - 175232 = 0. What is q?
-4, 4, 148
Let w**5/3 - 56*w**4/3 - 116*w**3/3 - 2*w**2/3 + 115*w/3 + 58/3 = 0. What is w?
-1, 1, 58
Solve -4*l**5 - 23064*l**4 - 33292856*l**3 - 132917824*l**2 - 166049316*l - 66401288 = 0 for l.
-2881, -2, -1
Find t, given that -t**2 - 200*t - 4959 = 0.
-171, -29
Let -4*r**4 + 780*r**3 - 33468*r**2 - 447020*r - 1018464 = 0. Calculate r.
-8, -3, 103
Factor 3*k**3/7 + 392913*k**2/7 + 12866427216*k/7 + 12863676972.
3*(k + 7)*(k + 65482)**2/7
Factor 25*w**3 - 240*w**2 - 495*w + 6650.
5*(w - 7)*(w + 5)*(5*w - 38)
Factor -2*u**3/11 + 230*u**2/11 - 8000*u/11 + 75000/11.
-2*(u - 50)**2*(u - 15)/11
Suppose a**2/4 + 56379*a/2 - 112759/4 = 0. Calculate a.
-112759, 1
Let 45*r**3 - 24130*r**2 + 53420*r - 10680 = 0. What is r?
2/9, 2, 534
Find n such that -6*n**3/11 + 502*n**2/11 + 3364*n/11 + 5040/11 = 0.
-4, -7/3, 90
Determine n, given that -3*n**3 + 318*n**2 + 2688*n + 5472 = 0.
-4, 114
Suppose -2*y**3/7 - 64*y**2/7 + 282*y/7 - 216/7 = 0. Calculate y.
-36, 1, 3
Determine c so that -c**4 - 46698*c**3 - 186781*c**2 - 233472*c - 93388 = 0.
-46694, -2, -1
Find f such that -2*f**2/3 + 654*f - 75280/3 = 0.
40, 941
What is o in 3*o**5 - 405*o**4 + 12597*o**3 + 73905*o**2 - 12600*o - 73500 = 0?
-5, -1, 1, 70
Solve -69*i**4 + 39*i**3 + 177*i**2 - 39*i - 108 = 0 for i.
-1, 1, 36/23
What is z in -4*z**4 - 180*z**3 + 3908*z**2 + 180*z - 3904 = 0?
-61, -1, 1, 16
Factor 57*l**2 + 319*l/3 - 46/3.
(l + 2)*(171*l - 23)/3
What is q in -5*q**2 - 700*q - 13920 = 0?
-116, -24
Let 2*k**4/13 + 446*k**3/13 + 24442*k**2/13 + 152434*k/13 + 128436/13 = 0. Calculate k.
-139, -77, -6, -1
Let 4*w**5 - 540*w**4 + 5904*w**3 = 0. What is w?
0, 12, 123
Determine u so that u**3/4 + 5597*u**2/4 - 1407*u - 41985 = 0.
-5598, -5, 6
Suppose 3*k**5 - 165*k**4 - 2655*k**3 + 16485*k**2 - 13668*k = 0. What is k?
-17, 0, 1, 4, 67
Determine d so that 3*d**4 - 17337*d**3 + 138567*d**2 - 363627*d + 311634 = 0.
2, 3, 5771
Solve -2*h**4/5 + 14*h**3/5 + 134*h**2/5 + 274*h/5 + 156/5 = 0.
-3, -2, -1, 13
Solve 5*u**4 - 160*u**3 + 1110*u**2 - 1760*u + 805 = 0.
1, 7, 23
Factor 2*r**4 - 3224*r**3 - 6454*r**2 - 3228*r.
2*r*(r - 1614)*(r + 1)**2
Find f such that -49*f**4/6 - 23632*f**3/3 - 5681783*f**2/3 + 2717680*f - 1944075/2 = 0.
-483, 5/7
Solve 2*n**3/9 + 362*n**2/9 - 6274*n/9 + 1970/3 = 0 for n.
-197, 1, 15
What is o in 6*o**2 + 64283*o + 64277 = 0?
-64277/6, -1
Determine h, given that -60*h**5 - 4359*h**4 - 2754*h**3 + 3927*h**2 + 2814*h + 432 = 0.
-72, -1, -2/5, -1/4, 1
Suppose 4*f**2/3 - 304*f - 3712/3 = 0. Calculate f.
-4, 232
Factor -2*v**3/5 + 78*v**2/5 - 448*v/5.
-2*v*(v - 32)*(v - 7)/5
Suppose -w**5/5 - 62*w**4/5 + 687*w**3/5 - 2332*w**2/5 + 3148*w/5 - 288 = 0. Calculate w.
-72, 1, 2, 5
Determine b so that -2*b**4/5 + 1684*b**3/5 - 357826*b**2/5 + 1404488*b/5 = 0.
0, 4, 419
Suppose -b**2 + 203*b - 600 = 0. Calculate b.
3, 200
Determine h, given that -5*h**2 + 447470*h - 10011470045 = 0.
44747
Solve j**2/3 + 2955*j - 70984/3 = 0 for j.
-8873, 8
Factor m**2/3 + 181*m/3 + 6028/3.
(m + 44)*(m + 137)/3
Determine p, given that 4*p**2/7 - 88344*p/7 - 707008/7 = 0.
-8, 22094
Find i such that 3*i**2 + 5048418*i + 2123877025227 = 0.
-841403
Factor 5*z**4 + 590*z**3 + 24840*z**2 + 449650*z + 2980915.
5*(z + 23)**3*(z + 49)
Factor 2*n**3/7 - 256*n**2/7 + 4874*n/7 - 660.
2*(n - 105)*(n - 22)*(n - 1)/7
Factor -16*g**3 + 112384*g**2 - 112372*g + 28092.
-4*(g - 7023)*(2*g - 1)**2
Factor 5*p**2 + 2035*p - 1961050.
5*(p - 455)*(p + 862)
Factor -4*l**3/7 - 6172*l**2/7 - 36924*l/7 - 55332/7.
-4*(l + 3)**2*(l + 1537)/7
What is f in 10*f**4/7 + 852*f**3/7 + 370*f**2 - 2796*f/7 - 656/7 = 0?
-82, -4, -1/5, 1
Suppose 9*f**4 + 590*f**3 - 6213*f**2 + 12094*f - 4200 = 0. What is f?
-75, 4/9, 2, 7
Find b, given that b**3/4 + 457*b**2/4 - 20517*b/4 + 220059/4 = 0.
-499, 21
Solve -795*u**2 + 96999*u - 1098 = 0.
3/265, 122
Find z such that -3*z**5/2 - 51*z**4/4 + 2487*z**3/4 - 14067*z**2/4 - 5589*z/4 + 32805/2 = 0.
-27, -2, 5/2, 9
Find m, given that -m**5 + 2*m**4 + 1100*m**3 + 16408*m**2 + 26656*m - 439040 = 0.
-14, 4, 40
Suppose u**3/4 + 117*u**2 + 8021*u - 16512 = 0. Calculate u.
-384, -86, 2
Factor 4*i**2 - 354064*i - 354068.
4*(i - 88517)*(i + 1)
Suppose 3*m**5/5 + 102*m**4/5 + 1002*m**3/5 + 2964*m**2/5 + 663*m + 1254/5 = 0. What is m?
-19, -11, -2, -1
Suppose 5*c**3 - 350*c**2 - 45*c + 3150 = 0. Calculate c.
-3, 3, 70
Find u such that -50*u**2 + 28930*u - 8369449/2 = 0.
2893/10
Solve 20*k**2/3 + 132736*k + 159280/3 = 0.
-19910, -2/5
Determine p so that p**4/2 + 111*p**3/2 - 59513*p**2/2 + 3837345*p/2 + 1948484 = 0.
-328, -1, 109
Find p such that -2*p**3/9 + 14464*p**2/9 + 101542*p/3 = 0.
-21, 0, 7253
Solve 7*p**3 - 1479*p**2 + 28490*p - 34200 = 0 for p.
9/7, 20, 190
What is s in 3*s**4 + 258*s**3 - 939*s**2 - 12498*s - 19224 = 0?
-89, -4, -2, 9
Find l, given that 33*l**2 - 50175*l + 22800 = 0.
5/11, 1520
Solve 2*c**4 - 1144*c**3 + 2274*c**2 + 3420*c = 0.
-1, 0, 3, 570
Suppose -34*o**3/7 + 142*o**2/7 + 3954*o/7 - 702/7 = 0. Calculate o.
-9, 3/17, 13
Factor x**4/4 + 11*x**3 - 51*x**2/4 - 135*x/2.
x*(x - 3)*(x + 2)*(x + 45)/4
Factor -2*d**2 + 260*d - 5408.
-2*(d - 104)*(d - 26)
Solve -4*i**4/9 - 328*i**3/9 - 724*i**2 - 5552*i/9 + 12400/9 = 0.
-50, -31, -2, 1
What is n in -n**4/2 - 21*n**3/2 - 52*n**2 + 72*n + 576 = 0?
-12, -8, -4, 3
Factor 2*c**2/19 - 4836*c/19 + 1270.
2*(c - 2413)*(c - 5)/19
Factor -3*d**3 + 23772*d**2 - 47657676*d + 2233129536.
-3*(d - 3938)*