Suppose 7*w**5/2 + 2883*w**4/2 + 19475*w**3/2 + 14169*w**2/2 - 1215*w = 0. Calculate w.
-405, -6, -1, 0, 1/7
Find v such that 6753*v**5 + 148569*v**4 + 952239*v**3 + 1486083*v**2 + 675960*v + 300 = 0.
-10, -1, -1/2251
Determine k, given that 4*k**5/5 + 264*k**4/5 + 3516*k**3/5 + 2744*k**2/5 - 6528*k/5 = 0.
-48, -17, -2, 0, 1
Factor -5*n**3/4 - 10709*n**2/4 + 21433*n/4 - 10719/4.
-(n - 1)**2*(5*n + 10719)/4
Factor 2*g**3/11 - 136*g**2/11 - 19488*g/11 + 1411200/11.
2*(g - 84)**2*(g + 100)/11
What is c in 5*c**3/4 + 271605*c**2/4 + 271590*c + 271585 = 0?
-54317, -2
Factor -a**3/9 + 28*a**2 + 4*a/9 - 112.
-(a - 252)*(a - 2)*(a + 2)/9
Factor -4*d**5/7 + 468*d**4/7 - 10880*d**3/7.
-4*d**3*(d - 85)*(d - 32)/7
Let v**4/8 + 83*v**3/2 + 19817*v**2/8 + 46421*v/4 + 13632 = 0. Calculate v.
-256, -71, -3, -2
Solve v**4 + 799*v**3 - 31769*v**2 + 30969*v = 0.
-837, 0, 1, 37
Factor 5*b**2 + 195580*b + 1912576820.
5*(b + 19558)**2
Factor -w**2 - 1757994*w - 772635726009.
-(w + 878997)**2
Factor 2*u**3 - 8078*u**2 + 112798*u - 394450.
2*(u - 4025)*(u - 7)**2
Determine d, given that -d**5/4 - 41*d**4/4 - 305*d**3/4 + 2369*d**2/4 - 1587*d/2 = 0.
-23, 0, 2, 3
Solve -85*u**5 - 1382*u**4/7 + 10216*u**3/7 + 11318*u**2/7 + 45*u = 0.
-5, -1, -1/35, 0, 63/17
Determine g so that 267*g**4 - 2421*g**3 + 6570*g**2 - 4704*g + 288 = 0.
6/89, 1, 4
Factor -q**4 - 7249*q**3 + 14501*q**2 - 7251*q.
-q*(q - 1)**2*(q + 7251)
Let s**3/2 + 111671*s**2/2 = 0. What is s?
-111671, 0
Factor 2*p**3/15 - 27268*p**2/5 - 54538*p/5 - 81808/15.
2*(p - 40904)*(p + 1)**2/15
Solve 2028*c**5/7 + 375076*c**4/7 + 2486400*c**3 + 5760000*c**2/7 = 0.
-1200/13, -1/3, 0
Find o such that -158*o**5/7 + 482*o**4/7 - 26*o**3 - 466*o**2/7 + 340*o/7 - 16/7 = 0.
-1, 4/79, 1, 2
Let -16*u**3 + 510*u**2 - 2934*u + 4600 = 0. Calculate u.
23/8, 4, 25
Solve -3*s**3 - 153*s**2 - 2160*s - 9300 = 0 for s.
-31, -10
Solve k**2 - 56*k + 559 = 0 for k.
13, 43
Solve 2*w**3 - 255440*w**2 - 1021784*w - 1021792 = 0.
-2, 127724
Let 15*z**3/4 - 7491*z**2/4 - 44274*z + 18009 = 0. Calculate z.
-23, 2/5, 522
Find s such that 2*s**4 - 281*s**3/2 + 2147*s**2 - 528*s = 0.
0, 1/4, 22, 48
Factor -2*p**4/11 - 117192*p**3/11 + 10654*p**2.
-2*p**2*(p - 1)*(p + 58597)/11
Suppose 2*u**3 + 68*u**2 - 14430*u + 340704 = 0. Calculate u.
-112, 39
Let -64*p**4 - 4646944*p**3 - 2323460*p**2 - 290432*p = 0. What is p?
-72608, -1/4, 0
Factor a**2/4 - 653*a + 190275/4.
(a - 2537)*(a - 75)/4
Factor -k**2 + 4965*k - 14886.
-(k - 4962)*(k - 3)
Factor 5*n**4 - 1300*n**3 - 5335*n**2 + 14550*n - 7920.
5*(n - 264)*(n - 1)**2*(n + 6)
Factor -3*m**2 + 78438*m - 78435.
-3*(m - 26145)*(m - 1)
Suppose 3*z**2 + 40752*z - 40755 = 0. Calculate z.
-13585, 1
Factor -3*v**3/8 - 3237*v**2/2 - 13853631*v/8 + 126789003/4.
-3*(v - 18)*(v + 2167)**2/8
Suppose -3*m**4 + 6456*m**3 - 3555810*m**2 + 88297032*m - 84747675 = 0. Calculate m.
1, 25, 1063
Factor -43923*l**3 + 40015305*l**2 - 1322784*l + 10932.
-3*(l - 911)*(121*l - 2)**2
Solve 3*m**2/8 + 338889*m/8 + 1524879/4 = 0.
-112954, -9
Find m such that 338*m**5/11 + 7956*m**4/11 + 17880*m**3/11 - 325264*m**2/11 + 804864*m/11 - 589824/11 = 0.
-192/13, 2
Factor 3*k**3 - 483*k**2 - 1506*k + 4920.
3*(k - 164)*(k - 2)*(k + 5)
Factor -2*w**2/5 + 72*w/5 + 1408.
-2*(w - 80)*(w + 44)/5
Factor -a**2/10 - 8047*a/5 - 48237/2.
-(a + 15)*(a + 16079)/10
Factor -w**4/2 - 273*w**3/2 + w**2/2 + 273*w/2.
-w*(w - 1)*(w + 1)*(w + 273)/2
What is o in -4*o**4/5 + 708*o**3/5 - 668*o**2/5 - 6372*o/5 + 6336/5 = 0?
-3, 1, 3, 176
Find l such that 2*l**4 - 10*l**3 - 8*l**2 + 40*l = 0.
-2, 0, 2, 5
Determine r, given that 92*r**3 + 34576*r**2 + 164644*r - 29680 = 0.
-371, -5, 4/23
Factor -3*g**2 - 8091*g + 81210.
-3*(g - 10)*(g + 2707)
Factor q**3/3 + 229*q**2/3 - 1123*q + 2673.
(q - 11)*(q - 3)*(q + 243)/3
Factor -y**3/4 - 53*y**2 - 7919*y/4 - 1927.
-(y + 1)*(y + 47)*(y + 164)/4
Suppose 2*p**5/11 + 1664*p**4/11 + 96194*p**3/11 - 104218292*p**2/11 + 7702502392*p/11 + 15822620944/11 = 0. Calculate p.
-533, -2, 118
Solve w**2/7 + 1078*w - 15096/7 = 0.
-7548, 2
Suppose b**2/2 - 729*b + 60845/2 = 0. What is b?
43, 1415
Let 34*y**3/3 - 21908*y**2/21 + 504712*y/21 - 8464/7 = 0. Calculate y.
6/119, 46
Suppose 4*b**2/3 + 176*b + 3780 = 0. What is b?
-105, -27
Determine p so that -4*p**3 - 468*p**2 - 5820*p - 5356 = 0.
-103, -13, -1
Find h, given that -4*h**3 - 46552*h**2 - 279140*h + 325696 = 0.
-11632, -7, 1
Let -5*a**3 + 116261*a**2 - 836827*a + 162715 = 0. What is a?
1/5, 7, 23245
Determine u so that -6*u**2/7 + 448581*u - 1570032/7 = 0.
1/2, 523344
Factor -2*p**3/7 - 1396*p**2/7 + 8432*p/7 - 11264/7.
-2*(p - 4)*(p - 2)*(p + 704)/7
Solve 882*w**4/17 - 229152*w**3/17 + 14862128*w**2/17 + 2837120*w/17 + 135200/17 = 0 for w.
-2/21, 130
Factor -2*s**3/3 - 866*s**2/3 - 97520*s/3 - 269664.
-2*(s + 9)*(s + 212)**2/3
Determine s so that -3*s**2/4 + 225*s/2 - 852 = 0.
8, 142
Solve -16*s**5/3 + 92*s**4/3 + 484*s**3/3 - 92*s**2/3 - 156*s = 0 for s.
-13/4, -1, 0, 1, 9
Factor 4*c**3 + 3088*c**2 + 11904*c - 294912.
4*(c - 8)*(c + 12)*(c + 768)
Determine i, given that i**5/5 - 969*i**4/5 - 10781*i**3/5 + 969*i**2/5 + 2156*i = 0.
-11, -1, 0, 1, 980
Factor -l**2/3 - 320984*l + 962953/3.
-(l - 1)*(l + 962953)/3
Factor -2*b**5 + 36*b**4 + 176*b**3 + 32*b**2 - 672*b - 704.
-2*(b - 22)*(b - 2)*(b + 2)**3
Factor 5*s**2 + 2215*s + 8780.
5*(s + 4)*(s + 439)
Determine z, given that -42*z**4 - 236*z**3 - 224*z**2 + 492*z + 522 = 0.
-3, -1, 29/21
Determine g so that -5*g**3 - 3232*g**2/5 + 19473*g/5 + 4536 = 0.
-135, -1, 168/25
Factor 5*q**4 - 3640*q**3 + 18045*q**2 + 21690*q.
5*q*(q - 723)*(q - 6)*(q + 1)
Let -94*o**4/11 + 388*o**3/11 - 600*o**2/11 + 412*o/11 - 106/11 = 0. What is o?
1, 53/47
Factor 2*g**3/5 - 170*g**2 - 7812*g/5.
2*g*(g - 434)*(g + 9)/5
Find z, given that -9*z**4/2 - 13529*z**3/2 + 132939*z**2/2 - 310215*z/2 - 37825 = 0.
-1513, -2/9, 5
Let 2*n**2/9 + 3926*n/3 - 23564/9 = 0. Calculate n.
-5891, 2
Find a, given that -2904*a**5 - 39292*a**4 + 37901*a**3/2 - 4065*a**2/2 + 63*a = 0.
-14, 0, 3/44, 1/3
Factor 4*a**2/5 + 56157*a/5 + 14039/5.
(a + 14039)*(4*a + 1)/5
What is k in 52*k**4 + 2144*k**3 - 11260*k**2 + 6856*k + 2208 = 0?
-46, -3/13, 1, 4
Factor -2*k**2/5 - 366*k/5 - 11844/5.
-2*(k + 42)*(k + 141)/5
Factor -2*n**2 - 874772*n - 95653256498.
-2*(n + 218693)**2
Factor 5*h**4 - 3610*h**3 + 10785*h**2 + 20*h - 14380.
5*(h - 719)*(h - 2)**2*(h + 1)
Determine r, given that 65*r**4 + 10130*r**3 + 38220*r**2 + 33400*r - 6080 = 0.
-152, -2, 2/13
Factor -4*f**4 + 24*f**3 + 448*f**2.
-4*f**2*(f - 14)*(f + 8)
Find l, given that -2*l**2/11 + 1692*l/11 + 154 = 0.
-1, 847
Factor 2*o**3/11 + 424*o**2/11 - 1310*o/11 - 4300/11.
2*(o - 5)*(o + 2)*(o + 215)/11
Factor -3*w**4 + 57390*w**3 - 274352871*w**2 - 1098100260*w - 1098329868.
-3*(w - 9567)**2*(w + 2)**2
Determine l, given that 2*l**2/19 + 28224*l/19 + 99574272/19 = 0.
-7056
What is u in -4*u**5 - 760*u**4 + 19596*u**3 = 0?
-213, 0, 23
Factor -5*b**3 - 1135*b**2 - 81375*b - 1773045.
-5*(b + 41)*(b + 93)**2
Suppose -4*r**4 + 56*r**3 + 4432*r**2 - 27872*r - 72960 = 0. What is r?
-30, -2, 8, 38
Let -3*q**2 + 53742*q/5 + 10749/5 = 0. Calculate q.
-1/5, 3583
Suppose 5*d**5/4 - 695*d**4/2 + 102805*d**3/4 - 199325*d**2 - 1683375*d = 0. What is d?
-5, 0, 15, 134
What is f in 2*f**5 - 564*f**4 + 39190*f**3 + 81220*f**2 - 39192*f - 80656 = 0?
-2, -1, 1, 142
Factor 4*m**4 - 276*m**3 + 4712*m**2.
4*m**2*(m - 38)*(m - 31)
Solve a**3/4 - 462*a**2 + 1847*a/4 = 0.
0, 1, 1847
Factor 5*b**2 - 16480*b - 99060.
5*(b - 3302)*(b + 6)
Factor -3*m**3/5 - 627*m**2/5 + 2571*m/5 + 639.
-3*(m - 5)*(m + 1)*(m + 213)/5
Factor -3*d**3 - 93*d**2 + 7347*d + 7437.
-3*(d - 37)*(d + 1)*(d + 67)
Factor y**2 + 33812*y + 285812836.
(y + 16906)**2
Solve 3*z**4/7 - 156*z**3/7 + 2169*z**2/7 - 4632*z/7 - 6960/7 = 0.
-1, 4, 20, 29
Find s such that 10*s**5/11 + 6484*s**4/11 + 1071612*s**3/11 + 606168*s**2 + 11769786*s/11 + 3709476/11 = 0.
-321, -3, -2/5
Factor -w**2 - 496332*w - 61586363556.
-(w + 248166)**2
Suppose 2*g**3 - 10*g**2 - 2232*g = 0. Calculate g.
-31, 0, 36
Factor -5*i**2 + 90060*i - 405540180.
-5*(i - 9006)**2
Factor 3*v**3/8 - 41691*v**2/8 + 144824109*v/8 + 144865803/8.
3*(v - 6949)**2*(v + 1)/8
Solve -3*l**4/5 - 324*l**3/5 + 1329*l**2/5 - 1674*l/5 + 672/5 = 