17/770, 71
Suppose 2*i**4/5 + 1467514*i**3/5 - 3815604*i**2 = 0. Calculate i.
-733770, 0, 13
Suppose -l**3/11 - 689819*l**2/11 - 2759264*l/11 - 2759260/11 = 0. What is l?
-689815, -2
Factor 5*g**2 - 85465*g + 2218710.
5*(g - 17067)*(g - 26)
Factor -2*s**2/21 - 54314*s + 9124880/21.
-2*(s - 8)*(s + 570305)/21
Factor 2*s**3 + 44532*s**2 + 267138*s + 400680.
2*(s + 3)**2*(s + 22260)
Determine l so that -2*l**2/17 + 473660072*l/17 - 28044232975880648/17 = 0.
118415018
Factor 2*j**2/7 + 432137756*j/7 + 23342880020089442/7.
2*(j + 108034439)**2/7
Factor -3*s**2 - 12185448*s + 12185451.
-3*(s - 1)*(s + 4061817)
Factor 6*q**3 + 41954*q**2 + 349164*q - 251424.
2*(q + 9)*(q + 6984)*(3*q - 2)
Solve n**3/4 + 144837*n**2/4 - 724227*n/2 + 579388 = 0.
-144847, 2, 8
Factor -3*l**3 - 127179*l**2 - 1354526928*l - 140826651840.
-3*(l + 105)*(l + 21144)**2
Suppose d**5/5 - 14926*d**4/5 + 89397*d**3 - 312820*d**2 + 297764*d/5 + 2323776/5 = 0. Calculate d.
-1, 2, 3, 26, 14896
Determine y so that 4*y**3 + 46008*y**2 + 116773380*y - 91752882624 = 0.
-6063, 624
Solve 4*x**3 - 7804*x**2 + 5061056*x - 1091315456 = 0.
616, 719
Factor 3*k**4 + 285405*k**3 + 9050573088*k**2 + 95664557349888*k - 95673608208384.
3*(k - 1)*(k + 31712)**3
What is m in m**4 + 1207246*m**3 - 10865268*m**2 + 32595858*m - 32595885 = 0?
-1207255, 3
Let v**4/4 + 1912*v**3 - 315335*v**2/4 - 330627*v/2 = 0. Calculate v.
-7689, -2, 0, 43
Determine l, given that l**3 - 174*l**2 - 28087*l - 781080 = 0.
-69, -40, 283
Factor p**2 + 114*p/5 - 2861568/5.
(p + 768)*(5*p - 3726)/5
What is m in m**3/11 - 12511*m**2/11 + 3261729*m + 1886466681 = 0?
-491, 6501
Factor -v**2/5 - 13438148*v/5.
-v*(v + 13438148)/5
Factor z**2 + 3036*z + 2277099.
(z + 1353)*(z + 1683)
Solve 5*y**4 + 55475*y**3 - 37168125*y**2 + 8090530625*y - 583382612500 = 0 for y.
-11740, 215
Determine k, given that k**3/7 - 55168*k**2/7 - 96439649*k/7 - 96384480/7 = 0.
-1695, -1, 56864
Solve -548*z**4 - 978156*z**3 - 5806512*z**2 + 256176*z = 0 for z.
-1779, -6, 0, 6/137
Find v, given that 4*v**5 - 2256*v**4 + 15608*v**3 - 6560*v**2 - 68988*v - 44560 = 0.
-1, 4, 5, 557
Factor 2*w**4 - 21887508*w**3 - 21887510*w**2.
2*w**2*(w - 10943755)*(w + 1)
Factor 2*m**4/5 - 1337146*m**3/5 + 298006162176*m**2/5 - 4428490622468096*m + 641880549685723136/5.
2*(m - 222848)**3*(m - 29)/5
What is i in -4*i**4/3 + 1368*i**3 + 170732*i**2/3 - 61008*i - 349648/3 = 0?
-41, -1, 2, 1066
Suppose -37314*q**3 - 605073*q**2 - 128730*q + 864 = 0. Calculate q.
-16, -2/9, 9/1382
Factor 2*x**3 + 35004*x**2 + 524502*x - 1888596.
2*(x - 3)*(x + 18)*(x + 17487)
Factor -4*n**3 - 7004*n**2 - 4084256*n - 793201456.
-4*(n + 566)**2*(n + 619)
Find z such that -2*z**3/3 + 198664*z**2/3 - 1125590*z + 1986300 = 0.
2, 15, 99315
Suppose 3*m**5/2 - 5787*m**4/2 + 1208460*m**3 + 184785600*m**2 + 1223294976*m - 1409286144 = 0. What is m?
-112, -8, 1, 1024
Suppose 4*h**4/5 - 1644*h**3 - 190936*h**2/5 - 99744*h = 0. Calculate h.
-20, -3, 0, 2078
Let -2*y**3 - 22676*y**2 - 78762112*y - 86715765760 = 0. Calculate y.
-5930, -2704
Factor -2*s**3 - 29984*s**2 + 319387224*s - 671070571488.
-2*(s - 3846)**2*(s + 22684)
Factor h**2 - 743*h - 30498.
(h - 782)*(h + 39)
Solve -62*h**4 + 4995*h**3 - 95802*h**2 + 52660*h - 3000 = 0.
2/31, 1/2, 30, 50
Suppose -2*l**5/3 + 5414*l**4/3 - 241324*l**3 + 25882912*l**2/3 - 72662080*l/3 + 15832576 = 0. What is l?
1, 2, 68, 2568
Solve 2*l**5/13 + 2638*l**4/13 - 21284*l**3/13 - 68668*l**2/13 + 445602*l/13 - 358290/13 = 0 for l.
-1327, -5, 1, 3, 9
Let -2*h**4/5 + 4954*h**3/5 - 121948*h**2/5 - 1597024*h/5 - 823872 = 0. Calculate h.
-6, -4, 35, 2452
Factor 3*n**2 + 67537800*n + 380112869070000.
3*(n + 11256300)**2
Determine p so that -230*p**5/3 + 7942*p**4/3 + 50672*p**3/3 - 7480*p**2/3 - 88288*p + 11520 = 0.
-4, -18/5, 3/23, 2, 40
Determine s, given that 12*s**5 + 1521*s**4 - 24642*s**3 - 75372*s**2 - 70794*s - 21573 = 0.
-141, -1, -3/4, 17
Let 6*n**5/11 + 1630*n**4/11 + 83236*n**3/11 - 1111848*n**2/11 + 2905488*n/11 + 2455488/11 = 0. Calculate n.
-196, -87, -2/3, 6
Suppose -3*a**3 + 503877*a**2 - 21145823181*a - 994967065269 = 0. Calculate a.
-47, 84003
Solve -l**4 + 39803*l**3 - 3933195*l**2 + 99222697*l - 95329304 = 0 for l.
1, 49, 39704
Find n such that n**2/5 - 479*n/5 + 56854/5 = 0.
217, 262
Determine l, given that 4*l**5/3 - 288*l**4 - 15592*l**3/3 - 19536*l**2 - 8532*l + 33552 = 0.
-12, -3, 1, 233
Find m, given that -2*m**3/7 + 12364124*m**2/7 - 24728240*m/7 = 0.
0, 2, 6182060
Find r such that -r**3/5 - 2397593*r**2/5 - 1918072*r - 9590356/5 = 0.
-2397589, -2
Suppose 2*w**2/3 + 159010*w/3 + 6139416 = 0. What is w?
-79389, -116
Let 5*t**4 + 555*t**3 + 805*t**2 - 30795*t + 29430 = 0. Calculate t.
-109, -9, 1, 6
Suppose 3*g**4 - 6415*g**3/2 + 3722*g**2 + 34157*g/2 + 10146 = 0. What is g?
-1, 19/6, 1068
Factor 5*i**2 - 28570*i + 3983265.
5*(i - 5571)*(i - 143)
Determine p, given that -132*p**4 - 2229284*p**3 - 1148304*p**2 + 1351056*p + 270208 = 0.
-16888, -1, -2/11, 2/3
Find o, given that 4*o**2/7 - 9737732*o/7 = 0.
0, 2434433
Factor 45*v**3 - 560590*v**2 + 1741839520*v + 25277002400.
5*(v - 6236)**2*(9*v + 130)
Factor -2*j**2/13 - 6496916*j/13.
-2*j*(j + 3248458)/13
Factor n**4 + 2075676*n**3 - 2075677*n**2.
n**2*(n - 1)*(n + 2075677)
Determine n, given that 4*n**5/5 + 124*n**4/5 + 272*n**3/5 - 6784*n**2/5 - 7296*n/5 + 7488 = 0.
-26, -10, -3, 2, 6
Suppose 16*l**3/5 + 24050132*l**2/5 + 6012532*l/5 = 0. Calculate l.
-1503133, -1/4, 0
What is a in a**3/3 + 587*a**2/3 - 68746*a + 4584600 = 0?
-849, 100, 162
Factor q**2 - 42251*q + 337944.
(q - 42243)*(q - 8)
Factor 3*b**4 - 2337618*b**3 + 455376168039*b**2 - 1821476620836*b + 1821467270412.
3*(b - 389601)**2*(b - 2)**2
Factor -4*u**2 + 4980744*u + 4980748.
-4*(u - 1245187)*(u + 1)
Determine w, given that -2*w**2/9 + 4927684*w/9 = 0.
0, 2463842
Suppose -125675*h**4 + 40090315*h**3 + 326758190*h**2 + 657557600*h + 52320 = 0. What is h?
-4, -2/25135, 327
Find p, given that -2*p**2/17 + 145754*p/17 - 20801924/17 = 0.
143, 72734
Factor -2*z**3 + 104722*z**2 - 28789008*z + 1983813480.
-2*(z - 52085)*(z - 138)**2
What is x in 2*x**3/7 - 18692*x**2/7 + 45166258*x/7 - 6913348168/7 = 0?
164, 4591
What is p in 84*p**5 + 598844*p**4 + 1066433672*p**3 - 3102962032*p**2 - 305192544*p = 0?
-3566, -2/21, 0, 3
Factor -4*r**2 + 492555240*r - 15163166528216100.
-4*(r - 61569405)**2
Suppose 2*w**3 + 826226*w**2 + 826212*w - 4957344 = 0. Calculate w.
-413112, -3, 2
Determine l, given that 20*l**2 + 244339*l - 12217 = 0.
-12217, 1/20
Factor -z**2/3 - 73432*z - 1541925.
-(z + 21)*(z + 220275)/3
Find p such that -6*p**5 - 514*p**4 + 138206*p**3 - 181038*p**2 - 594720*p - 274968 = 0.
-201, -1, -2/3, 3, 114
Determine q, given that 3*q**2/4 + 841644*q + 236121540912 = 0.
-561096
Let -2*x**4/13 - 397548*x**3/13 + 6*x**2/13 + 1192640*x/13 - 795096/13 = 0. Calculate x.
-198774, -2, 1
Determine a so that -2*a**2/7 + 31812*a/7 - 413218/7 = 0.
13, 15893
Find n, given that 18062*n**4/5 + 776672*n**3/5 + 834516*n**2 + 6016032*n/5 + 1998/5 = 0.
-37, -3, -3/9031
Let 4*z**3 - 24360*z**2 + 23075252*z - 23050896 = 0. What is z?
1, 1172, 4917
Determine d, given that -18*d**5/5 - 2037788*d**4/5 + 8151332*d**3/5 - 12227088*d**2/5 + 8151422*d/5 - 407572 = 0.
-1018930/9, 1
Let n**5 + 2245*n**4 - 18053*n**3 - 65265*n**2 + 162396*n + 405540 = 0. Calculate n.
-2253, -3, -2, 3, 10
Suppose n**3/5 + 11221*n**2/5 + 4091747*n/5 + 379308743/5 = 0. Calculate n.
-10847, -187
Factor 5*y**2 - 11420*y + 4356000.
5*(y - 1800)*(y - 484)
Suppose -4*u**2 + 431544*u + 849120508 = 0. What is u?
-1933, 109819
Find v, given that 31668*v**2 + 14060594*v/3 + 296/3 = 0.
-148, -1/47502
Determine q, given that -2*q**2/17 + 8484*q/17 - 1875744/17 = 0.
234, 4008
Suppose 4*p**5/5 + 17412*p**4 + 956552*p**3/5 - 2714528*p**2 + 40374144*p/5 - 5569024 = 0. What is p?
-21754, -20, 1, 4
Factor -3*r**2 + 9201900*r - 36807552.
-3*(r - 3067296)*(r - 4)
Factor 2*j**2/5 - 38759500*j + 938936775156250.
2*(j - 48449375)**2/5
Let 2*w**5 + 10178*w**4 - 153272*w**3 - 775808*w**2 = 0. What is w?
-5104, -4, 0, 19
Let 2*d**3 - 2224*d**2 + 395160*d = 0. What is d?
0, 222, 890
Determine h so that 5*h**2 + 60260980*h + 181569285528020 = 0.
-6026098
Suppose 5*g**3 - 33585*g**2 - 4909370*g + 30664200 = 0. Calcula