n that -57*v**5/7 + 48*v**4 + 9612*v**3/7 + 46608*v**2/7 + 70464*v/7 + 6912/7 = 0.
-4, -2/19, 18
Factor l**3/3 - 566*l**2 - 1133*l - 1700/3.
(l - 1700)*(l + 1)**2/3
Solve 3*x**4 - 48345*x**3 - 386889*x**2 - 1015695*x - 870642 = 0.
-3, -2, 16123
Let 5*s**4 + 12655*s**3 + 8472815*s**2 + 580561185*s + 572101020 = 0. What is s?
-1227, -76, -1
Find v, given that v**4/2 + 379*v**3 + 70276*v**2 - 590203*v - 1320201/2 = 0.
-383, -1, 9
What is j in -3*j**4 + 42*j**3 + 228*j**2 - 4200*j + 7200 = 0?
-10, 2, 10, 12
Factor -o**5 - 298*o**4 - 5689*o**3 + 2460288*o**2 - 68161536*o.
-o*(o - 43)**2*(o + 192)**2
Factor 47585*h**4 + 142725*h**3 + 142665*h**2 + 47495*h - 30.
5*(h + 1)**3*(9517*h - 6)
Determine r, given that 4*r**3 + 1356*r**2 + 2696*r = 0.
-337, -2, 0
Find x such that -x**2 - 201*x + 6412 = 0.
-229, 28
Let 22*u**4 - 10160*u**3/11 + 87678*u**2/11 + 9064*u + 1624/11 = 0. Calculate u.
-1, -2/121, 14, 29
Determine m, given that 2*m**2 + 1117088*m + 155985699968 = 0.
-279272
Factor 12*r**2 + 1934848*r + 644948.
4*(r + 161237)*(3*r + 1)
Find r such that -4*r**4 - 280*r**3 - 748*r**2 + 20328*r = 0.
-66, -11, 0, 7
What is r in 900*r**5/7 - 4020*r**4/7 - 2336*r**3/7 - 320*r**2/7 = 0?
-4/15, 0, 5
Let 4*f**5/5 - 28*f**4/5 - 336*f**3/5 + 2992*f**2/5 - 896*f = 0. What is f?
-10, 0, 2, 7, 8
Suppose y**5/6 - 139*y**4/2 - 419*y**3/6 + 139*y**2/2 + 209*y/3 = 0. Calculate y.
-1, 0, 1, 418
Factor 3*c**2/4 - 756*c - 182115/4.
3*(c - 1065)*(c + 57)/4
Find c such that -3*c**2/5 + 987*c + 160992/5 = 0.
-32, 1677
Solve -58*j**3/3 + 5437*j**2/3 - 126712*j/3 - 11045 = 0.
-15/58, 47
Factor 2*n**2/5 + 915668*n/5 + 104805985778/5.
2*(n + 228917)**2/5
Factor -18895*w**2 + 94480*w - 25.
-5*(w - 5)*(3779*w - 1)
Suppose -k**2/8 - 705*k/8 + 353/4 = 0. What is k?
-706, 1
Let p**3 + 30288*p**2 - 121164*p + 121168 = 0. What is p?
-30292, 2
Let 2*i**5/3 + 130*i**4/3 + 1792*i**3/3 + 7808*i**2/3 + 2048*i = 0. Calculate i.
-48, -8, -1, 0
Factor -67*o**3/3 - 247*o**2/3 + 109*o + 465.
-(o + 3)**2*(67*o - 155)/3
Factor k**2/4 + 771603*k/2 + 595371189609/4.
(k + 771603)**2/4
Factor -z**4/6 + 2083*z**3/6 + 4169*z**2/6 + 695*z/2.
-z*(z - 2085)*(z + 1)**2/6
Suppose -16*s**5/3 + 910*s**4/3 + 2006*s**3 - 671662*s**2/3 - 84050*s/3 = 0. Calculate s.
-25, -1/8, 0, 41
Solve -4*m**5 - 208*m**4 - 1988*m**3 - 2600*m**2 + 4800*m = 0 for m.
-40, -10, -3, 0, 1
Factor -f**2/3 - 5212*f/3 - 1737.
-(f + 1)*(f + 5211)/3
Factor -f**3/4 + 1643*f**2/4 + 1234*f + 823.
-(f - 1646)*(f + 1)*(f + 2)/4
Factor -2*s**2/7 + 181560*s/7 - 4120504200/7.
-2*(s - 45390)**2/7
Let 243*d**4 + 180657*d**3 + 1685514*d**2 + 722364*d + 79272 = 0. What is d?
-734, -9, -2/9
Solve 2*g**3 + 60*g**2 + 574*g + 1716 = 0.
-13, -11, -6
Find p, given that 3*p**3/5 - 81*p**2/5 + 312*p/5 + 396/5 = 0.
-1, 6, 22
Find q, given that 2*q**5 + 58*q**4 + 166*q**3 - 1786*q**2 - 168*q + 1728 = 0.
-24, -9, -1, 1, 4
Suppose -3*o**2/2 + 113448*o - 680661/2 = 0. Calculate o.
3, 75629
Factor 52*a**2 - 93928*a/3 + 9632/3.
4*(a - 602)*(39*a - 4)/3
Determine c, given that c**4/7 + 2217*c**3/7 - 2222*c**2/7 - 8868*c/7 + 8872/7 = 0.
-2218, -2, 1, 2
Factor -722*j**3/7 + 4902*j**2/7 - 10230*j/7 + 6050/7.
-2*(j - 1)*(19*j - 55)**2/7
Suppose 2*a**4 + 70*a**3 + 334*a**2 - 406*a = 0. What is a?
-29, -7, 0, 1
Determine i, given that -2*i**4/3 - 254*i**3/9 + 4402*i**2/3 - 112570*i/9 - 13000/3 = 0.
-75, -1/3, 13, 20
Factor b**2 - 1209*b + 6020.
(b - 1204)*(b - 5)
Factor 2*z**3/9 - 2750*z**2 + 8503686*z + 25535814.
2*(z - 6189)**2*(z + 3)/9
Determine m, given that -20*m**2 + 1084805*m + 813615 = 0.
-3/4, 54241
Factor -2*s**3 - 34890*s**2 - 153015216*s - 7414209992.
-2*(s + 49)*(s + 8698)**2
What is p in -2*p**3/7 + 3004*p**2/7 + 1720*p + 12048/7 = 0?
-2, 1506
Factor 3*f**5 - 543*f**4 + 23745*f**3 + 74523*f**2 + 75624*f + 25392.
3*(f - 92)**2*(f + 1)**3
What is r in 32*r**5 + 10512*r**4 + 76632*r**3 - 130756*r**2 + 68016*r - 11556 = 0?
-321, -9, 1/2
Determine p so that 3*p**2/7 + 44850*p/7 - 493713/7 = 0.
-14961, 11
Factor 2*w**3/13 - 782*w**2/13 - 4754*w/13 - 3970/13.
2*(w - 397)*(w + 1)*(w + 5)/13
Find v, given that -28*v**5 - 160*v**4 + 504*v**3 - 128*v**2 - 476*v + 288 = 0.
-8, -1, 1, 9/7
Let -2*w**5/11 - 282*w**4/11 + 6124*w**3/11 + 6960*w**2/11 - 12800*w/11 = 0. What is w?
-160, -2, 0, 1, 20
Factor -2*i**3 - 1008*i**2 - 17496*i.
-2*i*(i + 18)*(i + 486)
What is f in -3*f**4 - 408*f**3 - 18642*f**2 - 324360*f - 1896075 = 0?
-53, -15
Factor 8*a**3 - 718*a**2 - 17780*a - 4400.
2*(a - 110)*(a + 20)*(4*a + 1)
Factor -4*z**2 - 13732*z - 769728.
-4*(z + 57)*(z + 3376)
Solve 6*q**4/7 - 8500*q**3/7 - 11346*q**2/7 + 2832*q/7 + 5672/7 = 0 for q.
-1, 2/3, 1418
Solve f**4 + 329*f**3 + 6180*f**2 = 0.
-309, -20, 0
Factor -5*s**2 - 64080*s + 3151925.
-5*(s - 49)*(s + 12865)
Factor c**5 - 36*c**4 - 1965*c**3 + 74000*c**2 - 72000*c.
c*(c - 40)**2*(c - 1)*(c + 45)
Factor c**3/3 - 6392*c**2/3 + 6389*c.
c*(c - 6389)*(c - 3)/3
Factor -p**4 - 452*p**3 - 3098*p**2 + 7556*p - 4005.
-(p - 1)**2*(p + 9)*(p + 445)
Solve -i**2/9 + 165*i + 1494 = 0 for i.
-9, 1494
Find s such that -2*s**2 + 5618*s - 16836 = 0.
3, 2806
Find w such that -2*w**4 + 74*w**3 - 186*w**2 - 666*w + 1836 = 0.
-3, 3, 34
Suppose 5*d**5 - 20870*d**4 + 21756965*d**3 + 43576560*d**2 + 21798720*d = 0. Calculate d.
-1, 0, 2088
What is s in 2*s**2 - 1435984*s + 257756256032 = 0?
358996
Determine i, given that 8*i**4/3 + 14*i**3/3 - 514*i**2/3 + 38*i + 126 = 0.
-9, -3/4, 1, 7
Factor -3*t**2 + 42228*t - 148600332.
-3*(t - 7038)**2
Factor 2*o**3/15 - 1372*o**2/5 + 140904*o + 848720/3.
2*(o - 1030)**2*(o + 2)/15
Factor -4*j**2/3 - 920*j/3 - 12992.
-4*(j + 56)*(j + 174)/3
Solve -s**2 + 14836*s - 118624 = 0 for s.
8, 14828
What is k in 3*k**5 - 54*k**4 - 201*k**3 + 1296*k**2 + 6156*k + 6480 = 0?
-3, -2, 6, 20
Factor -3*l**4 - 543*l**3 - 24834*l**2 - 23220*l + 48600.
-3*(l - 1)*(l + 2)*(l + 90)**2
Let 4*r**5 + 316*r**4 + 1268*r**3 - 214156*r**2 + 628728*r - 416160 = 0. What is r?
-51, 1, 2, 20
Suppose -4*l**2 - 988*l - 11280 = 0. What is l?
-235, -12
Solve 440*p**3 + 4324*p**2 + 2436*p = 0 for p.
-203/22, -3/5, 0
Let 12*i**5 - 166*i**4 + 682*i**3 - 1036*i**2 + 480*i = 0. Calculate i.
0, 5/6, 2, 3, 8
Factor -3*q**2 + 51903*q + 103818.
-3*(q - 17303)*(q + 2)
Suppose 9*i**4 - 4971*i**3 + 551892*i**2 + 370140*i = 0. What is i?
-2/3, 0, 155, 398
Find g such that 3*g**4/2 + 57*g**3 - 552*g**2 = 0.
-46, 0, 8
Factor -2*d**3/7 - 6106*d**2 - 228381190*d/7 - 228338450/7.
-2*(d + 1)*(d + 10685)**2/7
Determine s so that -s**2/3 - 1760*s/3 - 5253 = 0.
-1751, -9
Factor 6*q**4 - 208*q**3 - 288*q**2.
2*q**2*(q - 36)*(3*q + 4)
Factor -w**4/6 + 28*w**3/3 - 75*w**2 + 216*w - 423/2.
-(w - 47)*(w - 3)**3/6
Factor j**5/10 - 137*j**4/5 - 414*j**3/5 - 83*j**2 - 277*j/10.
j*(j - 277)*(j + 1)**3/10
Determine o so that -4*o**4 + 32*o**3 + 1196*o**2 - 12168*o = 0.
-18, 0, 13
Factor -3174*w**3 + 76149*w**2/4 + 81*w/2.
-3*w*(w - 6)*(4232*w + 9)/4
Factor -2*w**3 - 72*w**2 - 858*w - 3380.
-2*(w + 10)*(w + 13)**2
Find n, given that -3*n**2 + 1203*n + 42966 = 0.
-33, 434
Factor 3*m**3 - 591*m**2 - 1812*m + 2400.
3*(m - 200)*(m - 1)*(m + 4)
Factor q**3/9 - 31*q**2/9 + 85*q/3 - 25.
(q - 15)**2*(q - 1)/9
Factor 2*i**2 - 220*i + 3458.
2*(i - 91)*(i - 19)
Factor -c**2 + 487*c + 3458.
-(c - 494)*(c + 7)
Suppose -7054*h**3/21 + 14380*h**2/21 - 7598*h/21 + 272/21 = 0. Calculate h.
136/3527, 1
Find s, given that s**2 + 390152*s + 38054645776 = 0.
-195076
Solve 475*q**2 - 1660*q - 960 = 0 for q.
-48/95, 4
Solve w**3 - 43890*w**2 + 481626912*w - 963078272 = 0.
2, 21944
Find i such that -i**3 + 46*i**2 - 136*i - 1344 = 0.
-4, 8, 42
Let -u**5 - 1755*u**4 - 804802*u**3 - 30247854*u**2 - 58088317*u - 28643511 = 0. What is u?
-857, -39, -1
Let 4*k**2 - 60420*k = 0. Calculate k.
0, 15105
Factor -3*q**2/7 + 70929*q/7.
-3*q*(q - 23643)/7
Factor -3*f**3/4 - 996915*f**2/4 + 996924*f - 996927.
-3*(f - 2)**2*(f + 332309)/4
Factor 5*b**2 - 375340*b + 7044005780.
5*(b - 37534)**2
Factor -3*k**3 + 504*k**2 - 13149*k + 12648.
-3*(k - 136)*(k - 31)*(k - 1)
Suppose n**5/7 - 30358*n**4/7 - n**3/7 + 30358*n**2/7 = 0. Calculate n.
-1, 0, 1, 30358
Factor -4*z**4/5 - 39916*z**3 - 2394576*z**2/5 - 9577792*z/5 - 12770048/5.
-4*(z + 4)**3*(z + 49883)/5
What is r in -r**4/3 - 482*r**3/3 - 10241*r**2/3 - 556