so that x**4/3 - 26542*x**3/3 - 3011903*x**2/3 - 995120*x = 0.
-112, -1, 0, 26655
Factor -5*o**3 + 41735*o**2 + 543850*o - 3762000.
-5*(o - 8360)*(o - 5)*(o + 18)
Solve -3*w**3 + 3027*w**2 + 260496*w + 4767660 = 0.
-54, -27, 1090
What is u in u**3/4 + 406315*u**2/2 - 11377003*u/4 + 2641093 = 0?
-812644, 1, 13
Factor o**4 + 12779*o**3 - 4219128*o**2 + 343875132*o.
o*(o - 162)**2*(o + 13103)
Let 3*u**3 + 2523276*u**2 + 530581860864*u + 2122287071232 = 0. Calculate u.
-420544, -4
Factor -4*q**2/3 - 5382088*q/3 - 7176096.
-4*(q + 4)*(q + 1345518)/3
Let -1755*n**2 + 365088*n - 9984 = 0. What is n?
16/585, 208
Factor 2*y**2 - 1551176*y/5 - 620472/5.
2*(y - 155118)*(5*y + 2)/5
Factor -x**2/2 + 1489818*x - 1109778836562.
-(x - 1489818)**2/2
Determine j so that 252*j**5/5 + 4397884*j**4/5 - 57561364*j**3/5 + 57215204*j**2/5 - 2375336*j/5 - 335328 = 0.
-17465, -1/7, 2/9, 1, 12
Determine p so that -2*p**5 + 6716*p**4 - 53594*p**3 - 20144*p**2 + 147368*p + 107200 = 0.
-1, 2, 8, 3350
Let -r**5 + 1129*r**4 + 3235323*r**3 - 6474029*r**2 + 3237578*r = 0. What is r?
-1322, 0, 1, 2449
Suppose -1369*l**5/4 + 56758*l**4 - 3738799*l**3/2 + 1517873*l**2 + 1132527*l/4 + 11979 = 0. What is l?
-3/37, 1, 44, 121
Find c such that c**4 - 291*c**3 + 25768*c**2 - 912732*c + 11307904 = 0.
32, 46, 167
Suppose -s**2/7 - 1160123*s/7 + 4640508/7 = 0. Calculate s.
-1160127, 4
Let 3*l**3 - 6999*l**2 - 1495824*l + 1502820 = 0. What is l?
-198, 1, 2530
Find r, given that r**3/2 + 866*r**2 + 490517*r/2 - 246125 = 0.
-1375, -358, 1
Solve -z**3 - 845763*z**2 - 178929788880*z - 42715922365916 = 0 for z.
-422762, -239
Factor -4*a**2 - 10721928*a.
-4*a*(a + 2680482)
Factor -4*w**3 + 2196*w**2 + 1744176*w - 3497104.
-4*(w - 989)*(w - 2)*(w + 442)
Suppose -2*s**4/11 - 2062*s**3/11 - 87730*s**2/11 - 860522*s/11 + 2088492/11 = 0. What is s?
-987, -23, 2
Factor -3*l**3/2 + 24043221*l**2/2 - 24086513824812*l - 24086525846424.
-3*(l - 4007204)**2*(l + 1)/2
Suppose -2*k**5 + 10870*k**4 - 1845612*k**3 + 77747648*k**2 + 162964736*k = 0. What is k?
-2, 0, 88, 5261
Let -2*j**2/11 + 5080*j/11 - 1229798/11 = 0. Calculate j.
271, 2269
Let 2*i**3/3 + 2454058*i**2 = 0. What is i?
-3681087, 0
What is c in -9126*c**4/5 + 2126826*c**3/5 - 4325262*c**2/5 + 217614*c/5 - 2772/5 = 0?
1/39, 2, 231
Factor -j**2 - 294807*j.
-j*(j + 294807)
Suppose n**5/2 + 36225*n**4 - 11306763*n**3/8 + 110255769*n**2/8 = 0. What is n?
-72489, 0, 39/2
Let 2*q**2 + 13508058*q + 13508056 = 0. What is q?
-6754028, -1
Factor 3*f**3 + 369*f**2 - 147963*f - 4852089.
3*(f - 187)*(f + 31)*(f + 279)
Factor -2*d**2/15 - 136784*d/15 + 3010216/15.
-2*(d - 22)*(d + 68414)/15
Let -2*k**2/7 - 206264*k/7 - 6392262/7 = 0. Calculate k.
-103101, -31
Factor -4*h**2 - 7008*h + 138588100.
-4*(h - 5075)*(h + 6827)
Solve 5*v**3 - 366215*v**2 - 62401050*v = 0.
-170, 0, 73413
Determine i, given that -5*i**3 + 1880*i**2 - 54395*i + 317400 = 0.
8, 23, 345
Factor -4*d**3/9 + 4888792*d**2/9 - 165976117981*d + 1161806209263.
-(d - 7)*(2*d - 1222191)**2/9
Determine q so that -q**5/7 - 94581*q**4/7 - 1323907*q**3/7 + 2931561*q**2/7 - 1513072*q/7 = 0.
-94567, -16, 0, 1
Solve -4*b**2 + 1200056*b - 163133632 = 0.
136, 299878
Factor 4*a**2/5 - 10014192*a/5 + 6267752588304/5.
4*(a - 1251774)**2/5
Suppose h**2 + 2246*h - 1461371 = 0. Calculate h.
-2773, 527
Factor 6*j**2/13 - 699117424*j/13 - 233039142/13.
2*(j - 116519571)*(3*j + 1)/13
Find m, given that -m**2 - 21334106*m - 113786019704809 = 0.
-10667053
Suppose 4*h**3 + 1002236*h**2 + 26055964*h + 133283556 = 0. What is h?
-250533, -19, -7
Factor c**2/2 - 81623*c/2 + 5500440.
(c - 81488)*(c - 135)/2
Factor -b**2 - 10096*b + 10097.
-(b - 1)*(b + 10097)
Factor 2*a**4/9 - 205658*a**3/9 + 2347903138*a**2/3 - 80163578683934*a/9 - 6458271413780320/9.
2*(a - 34303)**3*(a + 80)/9
Suppose -3*d**3/5 + 554502*d**2 + 11090103*d/5 - 2772522 = 0. What is d?
-5, 1, 924174
Factor -s**3/4 + 97073*s**2 + 2718191*s + 19027680.
-(s - 388320)*(s + 14)**2/4
Factor l**2/3 - 859*l/3 - 478940/3.
(l - 1244)*(l + 385)/3
Factor x**2/5 - 12634*x/5 - 306096.
(x - 12754)*(x + 120)/5
Suppose -13778*d**2/3 + 20775896*d - 23496036504 = 0. Calculate d.
187734/83
Solve 2*l**4/5 + 414*l**3/5 - 2248*l**2/5 - 26856*l/5 + 11872 = 0.
-212, -7, 2, 10
Factor -m**3/4 - 18215*m**2/2 + 838419*m/4.
-m*(m - 23)*(m + 36453)/4
Let -3*h**4/4 - 1035*h**3/4 - 17253*h**2/2 + 99144*h = 0. Calculate h.
-306, -48, 0, 9
Determine x, given that 8*x**2 + 240179*x + 1770885 = 0.
-30015, -59/8
Find i such that -20*i**5 - 362452*i**4 + 2683344*i**3 + 1885456*i**2 - 1160320*i = 0.
-18130, -1, 0, 2/5, 8
Let -m**4/5 + 471*m**3/5 - 22041*m**2/5 - 47399*m/5 + 13794 = 0. Calculate m.
-3, 1, 55, 418
Find v such that v**4/3 - 677*v**3/6 - 12446*v**2/3 - 3979*v/2 + 2046 = 0.
-33, -1, 1/2, 372
Suppose 2*c**4 - 25124*c**3 - 2176758*c**2 + 16467696*c = 0. What is c?
-93, 0, 7, 12648
Factor t**3 - 22269*t**2 + 177983*t + 2337405.
(t - 22261)*(t - 15)*(t + 7)
Factor 2*a**2/3 - 14228752*a/3 + 184973438/3.
2*(a - 7114363)*(a - 13)/3
Factor -2*z**3 + 79506*z**2 - 790269750*z + 2370093750.
-2*(z - 19875)**2*(z - 3)
Factor 3*b**2/2 - 2822043*b + 5644083/2.
3*(b - 1881361)*(b - 1)/2
Let m**5 - 1266*m**4 + 529736*m**3 - 71972442*m**2 - 523629657*m - 908731332 = 0. What is m?
-4, -3, 379, 447
Suppose 4*t**3 - 392*t**2 - 80832*t + 2856960 = 0. What is t?
-120, 32, 186
Solve -i**3/2 - 607*i**2/2 - 56747*i/2 - 268685/2 = 0 for i.
-493, -109, -5
What is b in 25*b**4/4 + 5311*b**3/4 - 3007*b**2/4 - 5311*b/4 + 1491/2 = 0?
-213, -1, 14/25, 1
Suppose 5*l**2 - 13370*l + 6229365 = 0. Calculate l.
601, 2073
What is x in -388*x**5 - 256832*x**4 - 43004000*x**3 - 166094920*x**2 - 115554012*x + 7793352 = 0?
-329, -3, -1, 6/97
Solve -39*b**2 - 2792157*b - 2147790 = 0 for b.
-71593, -10/13
Factor -4*c**2 + 1450756*c + 10155488.
-4*(c - 362696)*(c + 7)
Factor a**2/4 - 80803859*a/2 + 6529263629291881/4.
(a - 80803859)**2/4
Factor -2*m**2/11 + 5872*m/11 + 53010/11.
-2*(m - 2945)*(m + 9)/11
Factor 4*c**2 - 19600*c + 1257100.
4*(c - 4835)*(c - 65)
Suppose x**4 - 1011738*x**3 - 6070465*x**2 + 1011738*x + 6070464 = 0. Calculate x.
-6, -1, 1, 1011744
Solve r**2/4 - 16088*r - 676137 = 0.
-42, 64394
Factor -5*b**2 - 38910*b + 214775015.
-5*(b - 3731)*(b + 11513)
Factor -4*s**3 + 2480*s**2 - 104596*s - 585480.
-4*(s - 574)*(s - 51)*(s + 5)
Solve x**2/5 - 63459*x/5 - 126922/5 = 0 for x.
-2, 63461
Let 2*l**5 + 1664*l**4 + 432878*l**3 + 31708496*l**2 - 586489120*l - 617766400 = 0. What is l?
-340, -167, -1, 16
Let -25*n**4/2 + 1778*n**3 - 71469*n**2/2 + 30463*n + 67988 = 0. Calculate n.
-1, 2, 23, 2956/25
Solve 2*d**5 + 1734*d**4 + 512430*d**3 + 64558474*d**2 + 3369679296*d + 60977355264 = 0.
-413, -179, -48
Find t such that t**4 + 1175*t**3 + 42365*t**2 + 294445*t - 337986 = 0.
-1138, -27, -11, 1
Solve -4*c**2/3 - 1289344*c/3 + 1289348/3 = 0 for c.
-322337, 1
Let c**4/5 + 4247*c**3/5 + 4472952*c**2/5 - 77203984*c/5 + 72726784/5 = 0. What is c?
-2132, 1, 16
Solve -2*p**4/11 + 336*p**3/11 - 1966*p**2/11 - 46368*p/11 = 0 for p.
-9, 0, 16, 161
Factor x**2 + 60978082*x.
x*(x + 60978082)
Find l such that 2*l**4/5 - 620588*l**3/5 + 48140562626*l**2/5 + 96282987024*l/5 + 48141803808/5 = 0.
-1, 155148
Solve 4*k**2 + 8136*k - 9449440 = 0 for k.
-2860, 826
Determine a, given that -386*a**2 - 12478*a = 0.
-6239/193, 0
Solve -n**2/3 - 6994359*n + 20983078/3 = 0.
-20983078, 1
Solve -m**5/4 - 117*m**4 - 34903*m**3/4 + 1369536*m**2 + 30532145*m - 185734500 = 0.
-266, -25, 5, 84
Let 7*q**3 - 85513*q**2 + 2911532*q - 414188 = 0. Calculate q.
1/7, 34, 12182
Determine i so that 2*i**2/15 + 325042*i/5 - 13652156/15 = 0.
-487577, 14
Solve -92319*y**3 + 553887*y**2 - 830709*y - 243 = 0.
-9/30773, 3
Factor 5*x**4 - 1605170*x**3 + 128825326065*x**2 + 515320566460*x + 515326987220.
5*(x - 160519)**2*(x + 2)**2
Factor 2*s**3 + 1314*s**2 + 29064*s - 63400.
2*(s - 2)*(s + 25)*(s + 634)
Suppose d**3 - 660901*d**2 - 5948200*d + 6609100 = 0. What is d?
-10, 1, 660910
Determine r so that 5*r**2 + 17554790*r - 35109600 = 0.
-3510960, 2
Solve -2*b**5/7 + 220*b**4 + 4668*b**3/7 - 23224*b**2/7 + 26294*b/7 - 9276/7 = 0.
-6, 1, 773
Factor 3*p**3 + 697482*p**2 + 40530328515*p - 1135396090164.
3*(p - 28)*(p + 116261)**2
Determine h, given that -26*h**5/9 + 194*h*