8.
-(i + 5)*(i + 3377)/8
Suppose 2*n**4 - 2332*n**3 + 4658*n**2 - 2328*n = 0. What is n?
0, 1, 1164
Solve -i**5/3 - 5801*i**4 + 52216*i**3/3 - 11604*i**2 = 0 for i.
-17406, 0, 1, 2
Let -q**2 - 8678*q - 8677 = 0. What is q?
-8677, -1
Find f, given that -2*f**5/7 - 6*f**4/7 + 8*f**3 = 0.
-7, 0, 4
Factor -n**2/3 + 88*n/3 + 368/3.
-(n - 92)*(n + 4)/3
Find t, given that t**2/3 + 18178*t/3 + 82609921/3 = 0.
-9089
Suppose 2*m**2/5 + 34*m/5 - 36/5 = 0. Calculate m.
-18, 1
Factor -5*z**2 - 1120*z - 53040.
-5*(z + 68)*(z + 156)
Find b such that 5*b**5 - 1675*b**4 + 11560*b**3 - 26300*b**2 + 19680*b = 0.
0, 2, 3, 328
Factor 16*g**4 + 1604968*g**3 + 40249186881*g**2 + 20124292510*g + 2515524025.
(g + 50155)**2*(4*g + 1)**2
Factor l**3 + 2981*l**2 + 65075*l - 68057.
(l - 1)*(l + 23)*(l + 2959)
Factor -i**3/4 + 11*i**2/2 + 221*i/4 - 261/2.
-(i - 29)*(i - 2)*(i + 9)/4
Solve -3*j**2 + 351*j - 348 = 0 for j.
1, 116
Suppose 2*l**2/5 - 634*l + 3160 = 0. Calculate l.
5, 1580
Find z, given that -162*z**3/5 - 42300*z**2 + 94024*z/5 - 10448/5 = 0.
-1306, 2/9
Factor 5*v**2 + 635*v + 20130.
5*(v + 61)*(v + 66)
Solve 3*h**3/8 + 135*h**2/8 - 567*h + 3726 = 0 for h.
-69, 12
Suppose 5*b**3 + 1210*b**2 - 15240*b = 0. Calculate b.
-254, 0, 12
Factor -v**3 - 41822*v**2 - 334528*v - 669024.
-(v + 4)**2*(v + 41814)
What is r in 2*r**5/7 - 2516*r**4/7 + 990674*r**3/7 - 125417568*r**2/7 + 4969646208*r/7 = 0?
0, 93, 536
Suppose 4*c**3 - 63140*c**2 + 252496*c = 0. Calculate c.
0, 4, 15781
Factor 4*t**3/5 + 77788*t**2/5 + 31112*t.
4*t*(t + 2)*(t + 19445)/5
Suppose 2*g**2 - 2914*g = 0. Calculate g.
0, 1457
Determine r, given that -2*r**2 - 12632*r = 0.
-6316, 0
Factor 4*i**2/3 - 35534*i/3 - 17768/3.
2*(i - 8884)*(2*i + 1)/3
Find m such that m**3/5 - 38912*m**2/5 - 108983*m - 1907374/5 = 0.
-7, 38926
Factor 12*s**2 + 28834*s - 33656.
2*(s + 2404)*(6*s - 7)
Factor -3*d**2/5 + 13803*d/5 - 27594/5.
-3*(d - 4599)*(d - 2)/5
Factor -2*m**4 - 22168*m**3 - 199404*m**2 - 598104*m - 598050.
-2*(m + 3)**3*(m + 11075)
Determine n, given that 4*n**4/9 + 4*n**3/3 - 676*n**2/9 + 220*n/3 = 0.
-15, 0, 1, 11
Find c such that -4*c**4 + 966888*c**3 - 58428558388*c**2 - 116860017456*c - 58430492176 = 0.
-1, 120862
Find k, given that -14*k**5 + 44*k**4 + 232*k**3 - 580*k**2 + 358*k - 40 = 0.
-4, 1/7, 1, 5
Solve 6*c**3/11 + 552*c**2/11 + 7506*c/11 - 81648/11 = 0.
-72, -27, 7
Solve 4*r**5/3 + 128*r**4/3 + 60*r**3 - 1784*r**2/3 + 560*r/3 + 800 = 0 for r.
-30, -5, -1, 2
Factor -m**4/5 - 142*m**3/5 - 5177*m**2/5 - 1876*m + 2940.
-(m - 1)*(m + 3)*(m + 70)**2/5
Find p, given that -p**5/5 - 2476*p**4/5 + 17*p**3/5 + 42056*p**2/5 - 89116*p/5 + 9904 = 0.
-2476, -5, 1, 2
Suppose 4*a**4 - 4940*a**3 + 53884*a**2 - 33684*a - 719712 = 0. Calculate a.
-3, 7, 1224
Solve 5*y**2/2 - 41930*y + 175812490 = 0 for y.
8386
Factor 3*o**2 + 192174*o + 3077570523.
3*(o + 32029)**2
Find d, given that 3*d**4 + 1257*d**3 + 26586*d**2 + 153120*d + 266784 = 0.
-397, -14, -4
Factor -3*v**2 - 489*v - 5436.
-3*(v + 12)*(v + 151)
Factor -4*n**3 + 27288*n**2 - 44454660*n - 7189973200.
-4*(n - 3485)**2*(n + 148)
Let -3*p**2 - 153354*p - 1959787443 = 0. What is p?
-25559
Find t such that 5*t**5 - 3190*t**4 - 6425*t**3 + 15970*t**2 + 19200*t = 0.
-3, -1, 0, 2, 640
Determine c so that -12*c**4 - 32*c**3 + 2192*c**2 - 6208*c - 5120 = 0.
-16, -2/3, 4, 10
Let -14*a**4 + 1244*a**3 - 26832*a**2 - 39420*a + 157950 = 0. What is a?
-3, 13/7, 45
Find q such that 2*q**5 + 196*q**4/9 + 220*q**3/3 + 512*q**2/9 - 290*q/3 - 100 = 0.
-5, -3, -1, 10/9
Find t, given that -5*t**2 - 37855*t - 604400 = 0.
-7555, -16
Find z, given that -z**3/4 - 43*z**2 + 4485*z/4 = 0.
-195, 0, 23
Factor -324*s**3 - 75780*s**2 + 8423*s - 234.
-(s + 234)*(18*s - 1)**2
What is d in -5*d**3 + 1016765*d**2 - 51692078375*d + 155067084375 = 0?
3, 101675
Factor q**4 - 433*q**3 + 47076*q**2 - 41472*q - 559872.
(q - 216)**2*(q - 4)*(q + 3)
Factor 8*z**3/7 - 170*z**2 - 298*z/7.
2*z*(z - 149)*(4*z + 1)/7
Let 5*c**5 - 665*c**4 + 24295*c**3 - 143875*c**2 + 148680*c + 317520 = 0. Calculate c.
-1, 4, 63
Factor 2*i**2/5 - 15184*i/5 - 30376/5.
2*(i - 7594)*(i + 2)/5
Find v, given that 4*v**5 + 120*v**4 + 564*v**3 - 2368*v**2 - 11568*v + 13248 = 0.
-23, -6, 1, 4
Factor -5*s**3 - 733745*s**2 - 26919453120*s - 26918719380.
-5*(s + 1)*(s + 73374)**2
Factor -6*s**4/7 + 1008*s**3 - 2779920*s**2/7 + 372340800*s/7 - 2135484000/7.
-6*(s - 390)**3*(s - 6)/7
Suppose -f**3/3 + 35038*f**2/3 - 306915361*f/3 = 0. Calculate f.
0, 17519
Let n**3/2 + 3129*n**2/2 + 12484*n = 0. Calculate n.
-3121, -8, 0
Suppose -62*h**2/21 - 18650*h/21 + 172 = 0. What is h?
-301, 6/31
Factor -k**4/4 - 9379*k**3/4 - 21977335*k**2/4 + 66016443*k/4.
-k*(k - 3)*(k + 4691)**2/4
Factor -3*t**2 + 13293*t + 13296.
-3*(t - 4432)*(t + 1)
Let -2*a**4 - 150*a**3 + 844*a**2 + 3552*a + 2560 = 0. Calculate a.
-80, -2, -1, 8
What is s in 578*s**3/9 + 172550*s**2/9 - 780064*s/9 + 291688/3 = 0?
-303, 38/17
Determine p so that -5*p**3 + 1510*p**2 - 137280*p + 3310560 = 0.
38, 132
Solve 3*i**4 + 1614*i**3 - 33180*i**2 + 167400*i = 0.
-558, 0, 10
Factor o**4 - 102*o**3 + 2885*o**2 - 14304*o + 11520.
(o - 48)**2*(o - 5)*(o - 1)
Factor 2*t**4/7 + 102*t**3/7 - 1364*t**2/7.
2*t**2*(t - 11)*(t + 62)/7
Solve -q**4/7 + 1374*q**3/7 - 456613*q**2/7 - 10549572*q/7 - 58951684/7 = 0.
-11, 698
Factor 4*z**4 + 1208*z**3 + 58240*z**2 + 771456*z.
4*z*(z + 28)**2*(z + 246)
Find p, given that 2*p**2 + 15962*p - 47904 = 0.
-7984, 3
Determine d, given that -d**2/3 + 380*d/3 - 8875/3 = 0.
25, 355
Find o, given that -o**2/7 - 1146*o/7 - 15615 = 0.
-1041, -105
Factor -10*f**3 - 40445*f**2 - 20220*f.
-5*f*(f + 4044)*(2*f + 1)
Let -45*z**3 + 350*z**2 + 485*z + 90 = 0. What is z?
-1, -2/9, 9
Solve -3*y**3 + 375*y**2 + 1563*y - 1935 = 0 for y.
-5, 1, 129
Determine y, given that -16*y**4/9 + 5164*y**3/9 - 423668*y**2/9 + 1122560*y/9 + 102400/3 = 0.
-1/4, 3, 160
Solve -3*c**5 - 33*c**4 + 369*c**3 + 969*c**2 - 1878*c - 2448 = 0 for c.
-17, -3, -1, 2, 8
Find m, given that 3*m**2/7 - 41826*m/7 + 145784523/7 = 0.
6971
Determine j, given that -1569*j**4/2 - 6278*j**3 + 1537*j**2/2 + 6278*j + 16 = 0.
-8, -1, -4/1569, 1
Factor 2*v**3/15 - 218*v**2/15 - 376*v/5 - 456/5.
2*(v - 114)*(v + 2)*(v + 3)/15
Suppose -l**2 + 1397*l - 4182 = 0. What is l?
3, 1394
Solve -208*d**4/7 - 620*d**3/7 - 612*d**2/7 - 28*d + 4/7 = 0.
-1, 1/52
Factor s**3/6 + 251*s**2/6 + 245*s.
s*(s + 6)*(s + 245)/6
Suppose -2*t**5/5 - 8*t**4 + 622*t**3/5 - 372*t**2 = 0. Calculate t.
-31, 0, 5, 6
Find q, given that 49*q**3/10 - 70721*q**2/10 - 60672*q/5 - 5202 = 0.
-6/7, 1445
Suppose 4*f**3 + 23492*f**2 - 2282880*f + 55010304 = 0. What is f?
-5969, 48
Solve -57*i**3/4 - 1249*i**2/4 - 1087*i/4 + 105/4 = 0 for i.
-21, -1, 5/57
Solve -2*g**2/11 - 17976*g/11 = 0 for g.
-8988, 0
Find q such that -22*q**5/9 - 13292*q**4/9 + 3668*q**3/3 + 69056*q**2/9 + 52042*q/9 + 2420/3 = 0.
-605, -1, -2/11, 3
Solve -2*k**2/7 - 20952*k - 293320/7 = 0.
-73330, -2
Let -3*r**4/2 + 289*r**3/2 - 375*r**2/2 - 477*r/2 + 95 = 0. What is r?
-1, 1/3, 2, 95
Factor 2*z**2 + 642672*z + 51628412448.
2*(z + 160668)**2
Factor -c**3 + 675*c**2 + 43428*c - 89548.
-(c - 734)*(c - 2)*(c + 61)
Let -2*h**4/17 + 226*h**3/17 - 8274*h**2/17 + 104806*h/17 - 178292/17 = 0. Calculate h.
2, 29, 53
Solve 12*k**5/5 - 26133*k**4/5 + 149982*k**3/5 - 247647*k**2/5 + 16938*k + 39096/5 = 0 for k.
-1/4, 1, 2, 3, 2172
Find k such that -8*k**4 - 55372*k**3 + 138472*k**2 - 55392*k = 0.
-6924, 0, 1/2, 2
Factor -3*o**2/4 - 177*o/2 - 2394.
-3*(o + 42)*(o + 76)/4
Let 25*i**5 - 185*i**4/2 - 311*i**3 - 198*i**2 - 36*i = 0. What is i?
-3/2, -2/5, 0, 6
Factor 10828*j**3/9 + 8*j**2/9.
4*j**2*(2707*j + 2)/9
Let 2*n**2 - 512*n = 0. What is n?
0, 256
Factor 5*g**4 + 6085*g**3 + 2174250*g**2 + 82550140*g - 53673504280.
5*(g - 121)*(g + 446)**3
Determine t so that -2*t**2/7 - 17394*t/7 = 0.
-8697, 0
Factor -3*n**3/5 + 2499*n**2/5 - 95904*n - 17356032/5.
-3*(n - 432)**2*(n + 31)/5
Let 5*s**2 + 696*s - 560 = 0. What is s?
-140, 4/5
Factor -3*s**2/7 + 5844*s/7 - 256905/7.
-3*(s - 1903)*(s - 45)/7
Suppose -2*a**4 - 6280*a**3 - 4872956*a**2 + 89245080*a - 403905042 = 0. Calculate a.
-1579, 9
Let -a**3/6 - 461*a**2/6 - 37975*a/6 - 290521/2 = 0. What is a?
-363, -49
Solve h**3/5 - 58627*h**2/5 + 85925196