ermine a so that -3*a**2 + 48750*a + 1269528 = 0.
-26, 16276
Factor 3*f**2/5 + 736983*f + 7369818/5.
3*(f + 2)*(f + 1228303)/5
Suppose -343*u**5/10 - 10385844*u**4/5 + 127612429*u**3/10 + 11955589*u**2 + 17563878*u/5 + 339164 = 0. What is u?
-60565, -2/7, 7
Factor 3*a**2 - 48867*a + 9271872.
3*(a - 16097)*(a - 192)
Find z, given that 3*z**4 + 18*z**3 - 3489*z**2 - 55476*z - 96900 = 0.
-25, -17, -2, 38
Solve z**3/11 + 2776*z**2/11 + 202421*z/11 - 37814 = 0.
-2701, -77, 2
Let -4*j**5 + 32120*j**4 - 73721728*j**3 + 52415557888*j**2 - 415794037760*j + 829237196800 = 0. What is j?
4, 1660, 4702
Find k such that 2*k**3/9 + 3896*k**2/9 - 7911208*k/9 - 1759776 = 0.
-3188, -2, 1242
Suppose 2*v**4/3 + 416*v**3 + 167774*v**2/3 - 416*v - 167776/3 = 0. Calculate v.
-428, -196, -1, 1
Suppose 12*c**5 - 63148*c**4 - 11040780*c**3 - 467377380*c**2 + 639211168*c - 160729872 = 0. What is c?
-86, 1/3, 1, 5433
Determine c, given that -c**2 - 148872*c + 5509633 = 0.
-148909, 37
Find y, given that -2*y**4/7 - 18562*y**3/7 + 167222*y**2/7 + 18562*y/7 - 167220/7 = 0.
-9290, -1, 1, 9
Factor g**2/3 + 44490944*g/3 + 494861024502784/3.
(g + 22245472)**2/3
Find r, given that 464*r**4 + 1322*r**3 + 718*r**2 - 140*r = 0.
-2, -1, 0, 35/232
Factor -g**2/3 + 892*g/3 - 51324.
-(g - 658)*(g - 234)/3
Factor -t**3 - 8190101*t**2 - 24570290*t + 32760392.
-(t - 1)*(t + 4)*(t + 8190098)
Factor -4*k**3 + 4084*k**2 - 294524*k + 290444.
-4*(k - 943)*(k - 77)*(k - 1)
Determine c so that -5*c**5 - 136625*c**4 + 1640885*c**3 + 18179105*c**2 = 0.
-27337, -7, 0, 19
Solve -3*h**5/5 - 147*h**4/5 + 42219*h**3/5 - 849933*h**2/5 - 892296*h/5 = 0.
-153, -1, 0, 24, 81
Factor -2*f**2 + 31436*f + 157230.
-2*(f - 15723)*(f + 5)
What is t in -2*t**5/11 + 304*t**4 + 45492*t**3/11 - 8631784*t**2/11 + 141197950*t/11 - 132615000/11 = 0?
-63, 1, 25, 1684
Factor -3*f**3/4 + 38412*f**2 + 7072569*f/4 + 40676397/2.
-3*(f - 51262)*(f + 23)**2/4
Let -3*u**5 - 3696*u**4 - 177291*u**3 + 11094*u**2 + 539292*u + 354600 = 0. What is u?
-1182, -50, -1, 2
Factor -4*m**3 + 32212*m**2 + 2176432*m - 2208640.
-4*(m - 8120)*(m - 1)*(m + 68)
Suppose -4*k**2 + 168088*k - 203227584 = 0. Calculate k.
1246, 40776
Factor -10*g**2/3 - 96662312*g + 115994776/3.
-2*(g + 28998694)*(5*g - 2)/3
Determine s so that -5*s**5 + 5365*s**4 + 147745*s**3 + 830635*s**2 - 147740*s - 836000 = 0.
-19, -8, -1, 1, 1100
Solve -2*j**2 + 57286*j + 10898496 = 0.
-189, 28832
Suppose -14*n**4 + 6126824*n**3 + 831691208*n**2 + 28101093568*n - 8096919936 = 0. Calculate n.
-68, 2/7, 437766
Suppose -2*t**2/13 - 564258*t/13 - 2821240/13 = 0. What is t?
-282124, -5
Factor z**4/3 + 2959*z**3/3 - 960918*z**2 + 831016244*z/3 - 77778285544/3.
(z - 274)**3*(z + 3781)/3
Factor -2*k**2/5 + 1856142*k/5 - 3712276/5.
-2*(k - 928069)*(k - 2)/5
Factor -1998303*n**2 - 51955872*n + 156.
-3*(n + 26)*(666101*n - 2)
Factor -2*o**2 + 238870556*o - 7132392815468642.
-2*(o - 59717639)**2
Let 54450*v**2/17 + 664620*v/17 + 2028098/17 = 0. What is v?
-1007/165
Suppose -4*y**2 - 143173556*y + 143173560 = 0. Calculate y.
-35793390, 1
Factor 9*y**2/5 - 12534369*y/5 + 45959232/5.
3*(y - 1392704)*(3*y - 11)/5
Solve -3*p**3 + 1156650*p**2 - 1156647*p = 0 for p.
0, 1, 385549
Factor -1215*c**4 + 983115*c**3 - 436880*c**2/3 + 16180*c/3.
-5*c*(c - 809)*(27*c - 2)**2/3
Find h, given that h**2/5 - 141334*h/5 - 6220632/5 = 0.
-44, 141378
Solve 3*y**2/7 + 873444990*y/7 + 63575512546341675/7 = 0.
-145574165
Let 35*s**3 - 135680*s**2 - 2786775*s + 1636740 = 0. Calculate s.
-21, 4/7, 3897
Factor -4*k**2/7 + 23880076*k/7 - 119400280/7.
-4*(k - 5970014)*(k - 5)/7
Suppose -g**2/6 - 8074*g/3 + 456848 = 0. What is g?
-16316, 168
Let -d**4 + 133*d**2 - 48*d - 3780 = 0. What is d?
-10, -6, 7, 9
Factor 4*j**2 + 1032915768*j.
4*j*(j + 258228942)
Factor 2*d**2/11 + 74492*d - 49171920/11.
2*(d - 60)*(d + 409766)/11
What is d in 5*d**3/2 + 192511*d**2/4 + 231606373*d - 208484721 = 0?
-9626, 9/10
Factor 3*y**2 + 27314904*y + 62175331710768.
3*(y + 4552484)**2
Solve -4*v**2 + 822929936*v - 42325854972810256 = 0.
102866242
Suppose 6*n**2 - 3636711*n + 1818354 = 0. Calculate n.
1/2, 606118
Factor 4*x**2/3 - 128480*x/3 + 128468.
4*(x - 32117)*(x - 3)/3
Determine n so that -9*n**5 + 1311*n**4 + 67167*n**3 - 437391*n**2 + 668082*n - 299160 = 0.
-45, 1, 4, 554/3
Suppose 2*f**2/7 - 64596548*f/7 + 521589251689538/7 = 0. What is f?
16149137
Factor -4*j**2/9 + 40748*j/9 - 76840.
-4*(j - 10170)*(j - 17)/9
Suppose -113*x**5 - 3062*x**4 + 6370*x**3 + 3700*x**2 - 6257*x - 638 = 0. What is x?
-29, -1, -11/113, 1, 2
Factor -j**2/8 + 91431*j/8 - 594217/4.
-(j - 91418)*(j - 13)/8
Suppose 5*z**4 + 5055*z**3 - 1302000*z**2 + 73319680*z + 231813120 = 0. Calculate z.
-1232, -3, 112
Find h such that 4*h**4 - 1036736*h**3 - 1036760*h**2 + 5183712*h - 3110220 = 0.
-3, 1, 259185
Let -4*i**2 - 91654464*i - 525033798195456 = 0. What is i?
-11456808
Suppose z**5/2 + 317*z**4/2 + 17240*z**3 + 790282*z**2 + 13353200*z + 12580000 = 0. Calculate z.
-148, -68, -50, -1
Factor -3*g**3/7 - 4281*g**2/7 - 1784325*g/7 - 174888927/7.
-3*(g + 141)*(g + 643)**2/7
Factor -3*s**2/4 - 10282701*s/2 - 35244646618467/4.
-3*(s + 3427567)**2/4
Solve 2*p**3/5 + 862242*p**2/5 + 3448936*p/5 = 0 for p.
-431117, -4, 0
Solve -3*p**5 - 1260*p**4 + 3837*p**3 + 12690*p**2 = 0.
-423, -2, 0, 5
Factor -10*p**2 - 673566426*p + 269426572.
-2*(p + 67356643)*(5*p - 2)
Let -5*u**3 - 89010*u**2 - 1511805*u - 1422800 = 0. What is u?
-17785, -16, -1
Solve 10*x**4 + 5825*x**3 - 111495*x**2 - 186110*x + 120200 = 0 for x.
-601, -2, 1/2, 20
Determine a, given that 5*a**3 + 189750955*a**2 + 379501895*a + 189750945 = 0.
-37950189, -1
Factor -t**2 - 5344218*t.
-t*(t + 5344218)
Factor 2*a**2/9 - 47054*a/3 + 2066504.
2*(a - 70449)*(a - 132)/9
What is t in 30*t**5 - 52435*t**4 + 33765680*t**3 - 9484385290*t**2 + 980911699770*t + 163748894805 = 0?
-1/6, 337, 537
Determine n so that -n**3 - 117244*n**2 - 3439351012*n - 164818828992 = 0.
-58598, -48
Factor 4*g**2/5 - 45849328*g/5 + 131385054878224/5.
4*(g - 5731166)**2/5
Suppose r**2 + 1395164*r - 5580672 = 0. Calculate r.
-1395168, 4
Factor -o**2 + 1458634*o - 1458633.
-(o - 1458633)*(o - 1)
Let i**4/2 - 1059*i**3 - 6361740*i**2 + 22211996499*i - 37013082901641/2 = 0. What is i?
-4119, 2079
Factor 5*i**3 - 41400*i**2 - 538835*i - 1741530.
5*(i - 8293)*(i + 6)*(i + 7)
Find z, given that -4*z**3 + 136052*z**2 - 1155999324*z - 15050992788 = 0.
-13, 17013
Factor -2*x**3 - 15359707*x**2 - 29490071050804*x + 14745039365329.
-(x + 3839927)**2*(2*x - 1)
Let 4*b**2 + 5700*b + 640584 = 0. What is b?
-1302, -123
Find v such that -4*v**5/3 - 4264*v**4/3 - 380196*v**3 - 2242888*v**2/3 + 5686016*v/3 + 2264192 = 0.
-532, -3, -1, 2
Suppose -2*u**4/3 - 1654*u**3/3 - 307432*u**2/3 - 1505864*u/3 - 598400 = 0. What is u?
-550, -272, -3, -2
Determine n, given that -5*n**3/8 + 102437*n**2/8 - 240621*n/2 + 92151/2 = 0.
2/5, 9, 20478
Factor z**4 + 931*z**3 + 36913*z**2 - 1969155*z - 82624050.
(z - 46)*(z + 45)**2*(z + 887)
Factor 5*b**3 - 17840*b**2 - 15536320*b - 3053721600.
5*(b - 4320)*(b + 376)**2
Factor -5*m**3 - 166235*m**2 + 212212090*m.
-5*m*(m - 1231)*(m + 34478)
Solve 368*l**5/7 + 8744*l**4/7 + 36111*l**3/7 - 42912*l**2/7 - 15876*l - 46656/7 = 0.
-18, -144/23, -3/4, 2
Find f such that -3*f**3 - 6607500*f**2 - 39644919*f - 59467338 = 0.
-2202494, -3
What is t in t**4/5 + 1053299*t**3/5 + 17905794*t**2/5 = 0?
-1053282, -17, 0
Suppose -2*b**3/3 - 980*b**2 - 222438*b + 109561752 = 0. Calculate b.
-849, 228
Factor -3*y**3 + 599532*y**2 - 3597111*y + 5395626.
-3*(y - 199838)*(y - 3)**2
Factor 2*a**3/17 - 11324*a**2 + 3079616*a/17.
2*a*(a - 96238)*(a - 16)/17
Factor 7*h**3 - 24510*h**2 - 2200321*h + 947496.
(h - 3589)*(h + 88)*(7*h - 3)
Suppose 4*i**2/3 + 40688*i + 76131692/3 = 0. Calculate i.
-29879, -637
Find i such that -4*i**2 - 1828*i - 63688 = 0.
-419, -38
Factor 2*d**2/15 - 20354*d/5 - 61068/5.
2*(d - 30534)*(d + 3)/15
What is a in 4*a**2 + 6109824*a + 2333121831936 = 0?
-763728
Factor 5*d**2/4 - 800485*d/4 - 600375.
5*(d - 160100)*(d + 3)/4
Find z such that 32*z**3/5 - 52802832*z**2/5 + 4356472572810*z - 4356462012250 = 0.
1, 3300175/4
Solve q**3/5 - 3660709*q**2/5 + 3350199426024*q/5 - 3350195765316/5 = 0.
1, 1830354
Find f, given that -2*f**3/13 - 1494