u**2 - 17514*u.
3*u*(u - 42)*(u + 139)
Factor 5*k**2 - 1215*k - 2450.
5*(k - 245)*(k + 2)
Factor 5*g**5 - 4335*g**4 + 1257030*g**3 - 123094080*g**2 + 335923200*g + 2149908480.
5*(g - 288)**3*(g - 6)*(g + 3)
Find h such that 2*h**2/7 + 1014*h/7 + 52084/7 = 0.
-449, -58
Factor w**4/6 + 175*w**3/2 + 11527*w**2 + 32750*w/3 - 68644.
(w - 2)*(w + 3)*(w + 262)**2/6
Factor -4*w**3 - 1312*w**2 - 100724*w + 1142440.
-4*(w - 10)*(w + 169)**2
Suppose 5*p**4 + 1229*p**3 - 3722*p**2 + 2488*p = 0. What is p?
-1244/5, 0, 1, 2
Factor 2*t**2/11 + 204890*t/11 + 204888/11.
2*(t + 1)*(t + 102444)/11
Factor -5*i**4 + 3605*i**3 - 63810*i**2 + 380700*i - 759240.
-5*(i - 703)*(i - 6)**3
Let i**2/3 - 3752*i/3 + 14992/3 = 0. What is i?
4, 3748
Suppose -f**4/6 - 24089*f**3/6 + 144565*f**2/6 - 120475*f/6 = 0. What is f?
-24095, 0, 1, 5
Factor 3*d**3 - 119187*d**2.
3*d**2*(d - 39729)
Find m such that -3*m**4 + 216*m**3 - 1908*m**2 + 2976*m = 0.
0, 2, 8, 62
Suppose -a**2/4 + 5707*a/4 - 55263 = 0. Calculate a.
39, 5668
Factor 5*r**2 + 35*r - 490.
5*(r - 7)*(r + 14)
Determine y, given that -y**2/5 - 897*y/5 + 73948/5 = 0.
-973, 76
What is r in 2*r**5/5 + 702*r**4/5 + 55082*r**3/5 - 228102*r**2/5 + 57628*r - 115824/5 = 0?
-228, -127, 1, 2
Factor q**2 - 3077*q.
q*(q - 3077)
Find f, given that 325*f**2 + 40*f - 1380 = 0.
-138/65, 2
Factor -g**2/4 + 617*g/2 - 39633/4.
-(g - 1201)*(g - 33)/4
Find w such that -95*w**2 + 113185*w + 113280 = 0.
-1, 22656/19
Factor 75*s**2/2 - 79255*s/4 + 13205/4.
5*(5*s - 2641)*(6*s - 1)/4
Factor -5*d**2/2 + 59001*d/2 + 23602.
-(d - 11801)*(5*d + 4)/2
Find i such that 4*i**5 - 248*i**4 + 156*i**3 + 5432*i**2 - 3520*i - 23424 = 0.
-4, -2, 3, 4, 61
Factor -2*i**3 - 36302*i**2 + 2475472*i - 42122328.
-2*(i - 34)**2*(i + 18219)
Determine a so that -257645*a**5 - 7462625*a**4 + 263240*a**3 - 2320*a**2 = 0.
-29, 0, 4/227
Factor 2*p**3 - 442*p**2 - 2724*p.
2*p*(p - 227)*(p + 6)
Find h such that -h**3/3 - 4*h**2/3 + 5*h + 6 = 0.
-6, -1, 3
Factor 51005*g**3 + 1367035*g**2 - 272200*g + 13500.
5*(g + 27)*(101*g - 10)**2
Solve a**4/3 - 288*a**3 + 1720*a**2/3 + 1152*a - 6896/3 = 0.
-2, 2, 862
Suppose -3*n**2/7 + 93084*n/7 + 1396935/7 = 0. Calculate n.
-15, 31043
Let q**2 - 1207*q + 3612 = 0. What is q?
3, 1204
Factor 3*m**2/7 - 372*m/7 - 375/7.
3*(m - 125)*(m + 1)/7
Factor 5*m**3 + 219450*m**2 - 877860*m + 877880.
5*(m - 2)**2*(m + 43894)
Find y, given that 3*y**2/2 - 1947*y - 11709/2 = 0.
-3, 1301
Factor -2*n**2/9 - 7442*n.
-2*n*(n + 33489)/9
Determine c so that c**3 - 2727*c**2 - c + 2727 = 0.
-1, 1, 2727
Let 6*i**4 - 259372*i**3/3 + 934041736*i**2/3 + 761510864*i + 276940992 = 0. What is i?
-2, -4/9, 7206
Factor 3*k**3 + 393993*k**2 + 12935676672*k - 12936070668.
3*(k - 1)*(k + 65666)**2
What is c in 21*c**2 - 18222*c - 5208 = 0?
-2/7, 868
Suppose 5*l**3 + 10850*l**2 + 279565*l + 1811680 = 0. What is l?
-2144, -13
Factor 4*c**4 + 960*c**3 - 7872*c**2 + 15872*c.
4*c*(c - 4)**2*(c + 248)
Factor -53*x**2 + 60262*x - 1137.
-(x - 1137)*(53*x - 1)
Solve 7*g**4/5 + 475*g**3 - 43989*g**2/5 + 99693*g/5 + 6426 = 0 for g.
-357, -2/7, 3, 15
What is a in 102*a**4/7 + 39*a**3/7 - 1035*a**2/7 + 408*a/7 + 1380/7 = 0?
-115/34, -1, 2
Factor 5*l**3 + 5305*l**2 + 1243775*l - 89057085.
5*(l - 57)*(l + 559)**2
Find n, given that -5*n**2/3 - 9808*n + 29439 = 0.
-29439/5, 3
Determine q, given that -2*q**5 + 285*q**4 - 2324*q**3 + 6204*q**2 - 5360*q = 0.
0, 2, 5/2, 4, 134
Factor -4*x**2 - 628824*x - 24713726436.
-4*(x + 78603)**2
Let -6*g**5 - 285*g**4 + 159*g**3 + 717*g**2 - 153*g - 432 = 0. What is g?
-48, -1, 1, 3/2
Find z, given that -174*z**4/11 + 3266*z**3/11 - 16466*z**2/11 + 10134*z/11 + 3240/11 = 0.
-20/87, 1, 9
Factor -2*j**3/7 - 32*j**2/7 + 2150*j/7 + 42500/7.
-2*(j - 34)*(j + 25)**2/7
Let -k**2/3 - 865094*k - 561290721627 = 0. What is k?
-1297641
Factor 5*x**3 + 120*x**2 - 855*x + 1350.
5*(x - 3)**2*(x + 30)
Find j such that -2*j**3 + 1350*j**2 + 159954*j + 4387658 = 0.
-53, 781
Factor -3*p**3 + 6669*p**2 - 13329*p + 6663.
-3*(p - 2221)*(p - 1)**2
Factor w**4/8 - 4*w**3 - 315*w**2/8 + 2511*w/4 + 5103.
(w - 36)*(w - 14)*(w + 9)**2/8
Factor -4*i**3 + 19864*i**2 - 24641280*i - 49362048.
-4*(i - 2484)**2*(i + 2)
Determine p so that 3*p**3/2 - 11652*p**2 + 22628184*p = 0.
0, 3884
Solve -g**3/4 + 15109*g**2/4 + 30221*g/4 + 15111/4 = 0.
-1, 15111
Factor 5*r**2 + 225725*r + 451430.
5*(r + 2)*(r + 45143)
Determine l so that 2*l**3/9 + 76*l**2/3 + 214*l/9 - 452/3 = 0.
-113, -3, 2
Factor -5*k**3 - 90*k**2.
-5*k**2*(k + 18)
Solve 4*i**2/5 + 5096*i/5 + 716772/5 = 0.
-1113, -161
What is x in 4*x**5 + 844*x**4 + 45768*x**3 + 131456*x**2 + 86528*x = 0?
-104, -2, -1, 0
Factor -5*t**5 - 50270*t**4 - 100525*t**3 - 50260*t**2.
-5*t**2*(t + 1)**2*(t + 10052)
Factor 2*u**3 + 158*u**2 + 2576*u.
2*u*(u + 23)*(u + 56)
Factor -2*w**4/3 - 12634*w**3/3 + 12638*w**2 - 37918*w/3 + 12640/3.
-2*(w - 1)**3*(w + 6320)/3
Determine z so that 14*z**5/13 + 1292*z**4/13 - 2698*z**3/13 - 42064*z**2/13 - 48616*z/13 - 10528/13 = 0.
-94, -4, -1, -2/7, 7
Factor -2*c**2/5 + 2766*c/5 - 5524/5.
-2*(c - 1381)*(c - 2)/5
Factor 3*n**3 + 1017*n**2 - 3090*n - 4104.
3*(n - 4)*(n + 1)*(n + 342)
Find t, given that -2*t**3/15 - 496*t**2 - 2427678*t/5 - 222528708/5 = 0.
-1809, -102
Solve 2*w**3/9 + 212*w**2/9 - 962*w/9 - 33572/9 = 0.
-109, -11, 14
Solve 2*w**4/3 + 134*w**3/3 + 2240*w**2/3 = 0.
-35, -32, 0
Solve 4*r**3 - 447868*r**2 + 1791424*r - 1791408 = 0 for r.
2, 111963
Factor -4*d**3/7 + 48*d**2 + 1780*d/7.
-4*d*(d - 89)*(d + 5)/7
Factor -w**2/8 + 2193*w/8 + 1097/4.
-(w - 2194)*(w + 1)/8
Solve 2*l**2/7 + 3118*l/7 + 18636/7 = 0 for l.
-1553, -6
Factor -u**2/6 + 165887*u/6 - 82943/3.
-(u - 165886)*(u - 1)/6
Factor 2*v**3/3 + 6*v**2 - 548*v + 6160/3.
2*(v - 22)*(v - 4)*(v + 35)/3
Factor 5*k**2 - 999985*k + 1999950.
5*(k - 199995)*(k - 2)
What is s in -15*s**5 - 963*s**4 - 13476*s**3 + 64992*s**2 - 19584*s - 97104 = 0?
-34, -1, 2, 14/5
Factor -134*y**2/11 + 1176*y/11.
-2*y*(67*y - 588)/11
What is b in -4*b**2/7 + 824*b/7 - 9312/7 = 0?
12, 194
Determine r so that 3*r**3/2 - 1950*r**2 - 11714*r/3 - 1736 = 0.
-4/3, -2/3, 1302
Factor -f**2/2 + 360*f + 23281/2.
-(f - 751)*(f + 31)/2
Factor -4*j**2 - 29588*j - 59160.
-4*(j + 2)*(j + 7395)
Determine t so that -4*t**4 - 2412*t**3 - 23852*t**2 - 78420*t - 85392 = 0.
-593, -4, -3
Factor -3*k**2/4 - 149508*k - 7450880688.
-3*(k + 99672)**2/4
Let 11*h**2/3 + 2906*h - 3965/3 = 0. What is h?
-793, 5/11
What is u in -5*u**2 + 420*u + 18560 = 0?
-32, 116
Factor 4*g**2 - 9200*g + 128016.
4*(g - 2286)*(g - 14)
Factor -t**2 + 545*t - 1626.
-(t - 542)*(t - 3)
Solve -z**3/10 + 29*z**2/2 - 5183*z/10 - 5329/10 = 0 for z.
-1, 73
Let 4*g**3 + 4360*g**2 + 102236*g - 106600 = 0. Calculate g.
-1066, -25, 1
Let -4*v**3 + 35168*v**2 + 316804*v + 281632 = 0. What is v?
-8, -1, 8801
Let 2*z**4/5 - 7194*z**3/5 - 11536*z**2 = 0. Calculate z.
-8, 0, 3605
Solve 17310*y**3 + 519295*y**2 + 3894600*y - 1125 = 0 for y.
-15, 1/3462
Factor -s**3 + 327*s + 646.
-(s - 19)*(s + 2)*(s + 17)
Find s, given that 2*s**2/5 - 4318*s/5 - 12972/5 = 0.
-3, 2162
Determine t so that 5*t**2 + 36760*t - 257565 = 0.
-7359, 7
Find o, given that -233*o**3 - 11181*o**2/2 + 36*o = 0.
-24, 0, 3/466
Determine g, given that -2*g**3/11 - 1894*g**2/11 - 7544*g/11 = 0.
-943, -4, 0
Solve 3136*r**4 - 20048*r**3 + 32601*r**2 - 10582*r + 968 = 0 for r.
11/56, 2, 4
Find w such that 15*w**5/8 - 117*w**4/8 - 7359*w**3/8 - 52167*w**2/8 - 6705*w - 2175/2 = 0.
-10, -1, -1/5, 29
Factor 3*t**5 + 777*t**4 - 14634*t**3 + 89100*t**2 - 179496*t.
3*t*(t - 6)**3*(t + 277)
Determine x so that x**3 + 60*x**2 + 693*x - 6534 = 0.
-33, 6
What is d in 330*d**5 + 248722*d**4 + 46578864*d**3 - 108160912*d**2 + 27439776*d + 1143072 = 0?
-378, -2/55, 1/3, 2
Factor 5*d**3/2 + 1005*d**2/2 + 66795*d/2 + 1469795/2.
5*(d + 61)**2*(d + 79)/2
Suppose 4*y**4 + 1292*y**3 - 34904*y**2 - 36192*y = 0. What is y?
-348, -1, 0, 26
Factor y**4/4 + 11869*y**3/2 + 141323461*y**2/4 + 1336152675*y + 12673130625.
(y + 19)**2*(y + 11850)**2/4
Determine z so that -16*z**4/9 - 20524*z**3/9 + 5132*z**2/9 = 0.
-1283, 0, 1/4
Determine y, given that 25012*y**3 - 175072*y**2 + 149988*y + 72 = 0.
-3/6253, 1, 6
Let l**5/8 - l**4/8 - 609*l**3/8 - 2399*l**2/8 - 745*l/2 - 297/2 = 0. What is l?
-22, -2,