7*n**3 - 3929225821923*n**2/2 - 3929230026865*n - 7858462857025/4.
-(n - 2803295)**2*(n + 1)**2/4
Determine u so that -2*u**3/11 + 962*u**2 - 4531910*u/11 + 506894706/11 = 0.
229, 4833
Factor -u**3/2 - 407*u**2/2 + 40849*u/2 - 193945/2.
-(u - 79)*(u - 5)*(u + 491)/2
Let -h**4/6 - 11028670*h**3/3 + 11028671*h**2 - 33086014*h/3 + 22057343/6 = 0. Calculate h.
-22057343, 1
Suppose 2*r**2 - 341494*r - 682996 = 0. What is r?
-2, 170749
Factor r**2/4 + 312241*r/4 - 1561255/2.
(r - 10)*(r + 312251)/4
Determine h, given that -21*h**4/4 + 5307*h**3 + 6093*h**2 - 21228*h - 24288 = 0.
-2, -8/7, 2, 1012
Find x, given that -x**2/4 - 8199*x/4 + 1442753/2 = 0.
-8537, 338
Find w, given that -4*w**2 + 15024*w - 7010640 = 0.
546, 3210
Suppose 2*v**5/5 + 151724*v**4/5 + 606776*v**3 + 3033680*v**2 = 0. What is v?
-75842, -10, 0
Factor -j**4/5 + 8626*j**3/5 - 24373129*j**2/5 + 4978202616*j - 1665314387280.
-(j - 3485)**2*(j - 828)**2/5
Determine u, given that 4*u**2 - 4048168*u - 89061632 = 0.
-22, 1012064
Factor 5*m**3 + 12230*m**2 + 9609600*m + 2452428000.
5*(m + 660)**2*(m + 1126)
Suppose a**2/3 + 14251*a + 726512/3 = 0. Calculate a.
-42736, -17
Suppose z**4/9 + 14746*z**3/9 + 338521*z**2/9 - 176676*z = 0. What is z?
-14723, -27, 0, 4
Factor -3*w**4 + 1317*w**3 - 105183*w**2 + 3081927*w - 30923058.
-3*(w - 346)*(w - 31)**3
Suppose -75*n**5 - 1032*n**4 + 1677*n**3 + 3858*n**2 - 5508*n + 1080 = 0. What is n?
-15, -2, 6/25, 1, 2
Find q, given that -q**4/6 + 18829*q**3 - 790775*q**2/6 + 112967*q = 0.
0, 1, 6, 112967
Factor g**4/4 + 314287*g**3/2 + 98829732709*g**2/4 + 4196858168895*g + 178318232352225.
(g + 85)**2*(g + 314202)**2/4
Factor 2*q**2 - 291286*q.
2*q*(q - 145643)
Factor -5*u**4 + 67113570*u**3 - 300281883868680*u**2 + 447842703759234876670*u + 4030608656714633078445.
-5*(u - 4474241)**3*(u + 9)
Find n, given that 4*n**3/9 + 69145202*n**2/9 + 33201800251400*n + 16600898205000 = 0.
-8643150, -1/2
Suppose -g**2/4 + 23497*g - 93987/4 = 0. What is g?
1, 93987
Suppose 12*r**5 - 18370*r**4 + 51934*r**3 + 27538*r**2 - 51946*r - 9168 = 0. Calculate r.
-1, -1/6, 1, 3, 1528
Factor k**3/6 - 1224*k**2 + 72840*k.
k*(k - 7284)*(k - 60)/6
Factor s**2 - 4151416*s + 4308563701264.
(s - 2075708)**2
Factor 6*u**2 - 647*u - 2684.
(u + 4)*(6*u - 671)
Factor 128*o**3/5 + 32358*o**2 - 2528*o/5.
2*o*(o + 1264)*(64*o - 1)/5
Solve -s**5 + 46*s**4 - 276*s**3 + 54*s**2 + 2565*s - 4212 = 0.
-3, 3, 4, 39
Factor -5*f**3 + 2865*f**2 + 158400*f + 449280.
-5*(f - 624)*(f + 3)*(f + 48)
Suppose w**2/6 - 961*w/3 - 58261/2 = 0. Calculate w.
-87, 2009
Factor -c**2/4 - 1104995*c/4 - 828744.
-(c + 3)*(c + 1104992)/4
Find o, given that 4*o**3 + 2030584*o**2 - 10153020*o = 0.
-507651, 0, 5
Factor 3*d**2 + 17445*d - 2428008.
3*(d - 136)*(d + 5951)
Find j, given that 3*j**4/8 + 49197*j**3/4 - 18*j**2 - 590316*j + 1574304 = 0.
-32798, -8, 4
Factor r**2 - 77879554*r + 1516306232809729.
(r - 38939777)**2
Solve -4*g**5 - 713940*g**4 + 17850328*g**3 - 119958144*g**2 + 102821760*g = 0 for g.
-178510, 0, 1, 12
Factor -3*t**2/2 - 31533*t/2 + 2609793.
-3*(t - 163)*(t + 10674)/2
Suppose 5*a**2 + 1825*a - 41348680 = 0. What is a?
-3064, 2699
Factor i**3/3 - 143734*i**2/3 + 574915*i/3 + 239550.
(i - 143730)*(i - 5)*(i + 1)/3
Let 25*x**4/4 + 2205*x**3/4 + 7805*x**2 - 156465*x = 0. What is x?
-61, -38, 0, 54/5
Let -158*d**2 + 1353282*d/5 - 20556/5 = 0. Calculate d.
6/395, 1713
Determine x so that 111*x**4/2 + 262953*x**3/2 + 386943*x**2 + 241326*x - 14196 = 0.
-2366, -2, -1, 2/37
Solve 3*y**4/4 + 4130961*y**3 + 22753134901863*y**2/4 + 22753101854187*y/2 = 0 for y.
-2753973, -2, 0
What is m in 3*m**3 + 777*m**2 + 29532*m + 247680 = 0?
-215, -32, -12
Factor c**4 + 756*c**3 + 203076*c**2 + 22752576*c + 905769216.
(c + 114)**2*(c + 264)**2
Factor r**2/5 - 21719106*r + 589649456799045.
(r - 54297765)**2/5
Solve 2*s**5/7 - 452*s**4/7 - 458*s**3/7 + 908*s**2/7 = 0 for s.
-2, 0, 1, 227
Solve -2*z**3/3 + 7772*z**2 - 7770*z - 46628/3 = 0.
-1, 2, 11657
Find q such that -q**3 - 449465*q**2 - 449462*q + 898928 = 0.
-449464, -2, 1
Factor -2*d**2/15 - 2992828*d/5 - 3358882289094/5.
-2*(d + 2244621)**2/15
Factor 4*w**3 - 68864*w**2 - 18107440*w - 1181377600.
4*(w - 17476)*(w + 130)**2
What is z in 67*z**4/10 + 14269*z**3/10 - 36929*z**2/5 - 42722*z/5 + 1308/5 = 0?
-218, -1, 2/67, 6
Factor -k**4/5 - 5945257*k**3/5 - 1767304634328*k**2 - 8836517226384*k/5.
-k*(k + 1)*(k + 2972628)**2/5
Let -2*x**5/7 + 363728*x**4/7 + 29471734*x**3/7 + 87229220*x**2 + 524008000*x/7 - 1164448000/7 = 0. What is x?
-40, -2, 1, 181945
Suppose -17*k**4/7 - 132976*k**3/7 - 72655437*k**2/7 + 64226926*k/7 + 1223072 = 0. What is k?
-7231, -592, -2/17, 1
Suppose v**2 + 75413872*v + 1421813022508096 = 0. Calculate v.
-37706936
Factor 2*z**2/11 - 466794*z/11 + 7934920/11.
2*(z - 233380)*(z - 17)/11
Find u, given that -18*u**4 + 786110*u**3 - 8470564*u**2 + 5937992*u + 1746480 = 0.
-2/9, 1, 10, 43662
Factor 2*p**3/5 - 91718*p**2 - 5962008*p/5.
2*p*(p - 229308)*(p + 13)/5
Find m such that 4*m**3 + 5126004*m**2 - 10252020*m + 5126012 = 0.
-1281503, 1
Factor 5*a**3/3 - 1354376*a**2/3 - 2708812*a.
a*(a + 6)*(5*a - 1354406)/3
Factor 3*x**2/7 + 15363*x - 2044362/7.
3*(x - 19)*(x + 35866)/7
Find k, given that 5*k**2 + 353671520*k + 6254177202955520 = 0.
-35367152
Factor 4*o**2/3 - 2789576*o/3 - 34406596.
4*(o - 697431)*(o + 37)/3
Solve -u**3/4 - 530279*u**2/4 - 17574672330*u + 17574804900 = 0.
-265140, 1
Determine q so that -q**4/8 - 891*q**3/8 + 277063*q**2/8 + 1700391*q/8 - 988281/4 = 0.
-1134, -7, 1, 249
Suppose -5*j**5 - 10895*j**4 + 10516470*j**3 - 2137463030*j**2 - 4306519025*j - 2158528635 = 0. Calculate j.
-2943, -1, 383
Factor -68*c**2 + 717792*c/5 - 109772/5.
-4*(c - 2111)*(85*c - 13)/5
Suppose -4*g**2 + 33752*g + 33756 = 0. What is g?
-1, 8439
Find v, given that 3*v**3 - 11082*v**2 + 5986089*v + 85985550 = 0.
-14, 675, 3033
Determine n so that n**5/6 + 709*n**4/2 - 8545*n**3/6 - 44687*n**2/6 + 22744*n + 85240/3 = 0.
-2131, -4, -1, 4, 5
Factor 5*l**3 + 2526315*l**2 + 319122215880*l + 2233731723440.
5*(l + 7)*(l + 252628)**2
Solve 3*a**2 + 580023624*a + 28035617033174448 = 0.
-96670604
Factor 3*v**2 - 18737578*v.
v*(3*v - 18737578)
Factor 2*b**2/15 + 33496*b/5 + 803776/15.
2*(b + 8)*(b + 50236)/15
Factor 2*t**2/3 - 8440*t/3 + 2935506.
2*(t - 2331)*(t - 1889)/3
Suppose 3*n**2 - 1474182*n + 10319127 = 0. What is n?
7, 491387
Suppose 4*n**5/7 + 9600*n**4/7 + 5653560*n**3/7 - 127572880*n**2/7 + 127767420*n - 271515888 = 0. Calculate n.
-1211, 4, 9
Factor 5*o**2 + 24774110*o + 30687826314605.
5*(o + 2477411)**2
Factor -2*p**3/3 - 116926*p**2/3 + 5850050*p/3 - 73141250/3.
-2*(p - 25)**2*(p + 58513)/3
Solve -5*n**5 + 1550*n**4 + 28185*n**3 - 686150*n**2 - 28180*n + 684600 = 0 for n.
-30, -1, 1, 14, 326
Solve 9*c**2 - 1441353*c - 960906 = 0.
-2/3, 160151
Solve -m**5/6 + 22447*m**4/6 - 448537*m**3/6 - 67343*m**2/6 + 695257*m/3 - 448540/3 = 0 for m.
-2, 1, 20, 22427
Factor -2*u**2 + 2261368*u - 639223153928.
-2*(u - 565342)**2
Suppose 153*u**5/5 - 223908*u**4/5 + 744864*u**3/5 - 297456*u**2/5 - 595728*u/5 = 0. Calculate u.
-2/3, 0, 2, 24822/17
Solve 5*g**5 - 22800*g**4 - 182945*g**3 + 1027980*g**2 - 822240*g = 0 for g.
-12, 0, 1, 3, 4568
Factor 2*v**3 + 3144296*v**2 - 56597814*v + 254690892.
2*(v - 9)**2*(v + 1572166)
Determine l so that 15*l**5 + 2260*l**4 - 357065*l**3 - 17222190*l**2 - 11202080*l + 5660800 = 0.
-232, -40, -1, 1/3, 122
Let q**3/3 - 33530*q**2 - 9061384*q/3 + 6175040 = 0. What is q?
-92, 2, 100680
Find y such that 5*y**3/3 + 102895510*y**2/3 + 529374504698965*y/3 + 2117496372468020/3 = 0.
-10289549, -4
Factor -217156*d**2/5 + 103030736*d/5 - 12220860304/5.
-4*(233*d - 55274)**2/5
Find t, given that t**2 - 3029580*t + 2294588744100 = 0.
1514790
Suppose -d**4/5 + 123*d**3/5 - 296*d**2/5 - 1524*d - 1440 = 0. What is d?
-6, -1, 10, 120
Factor 4*h**3 + 353420*h**2 + 706828*h + 353412.
4*(h + 1)**2*(h + 88353)
Factor x**2/2 + 1329849*x/2 + 3324610.
(x + 5)*(x + 1329844)/2
Let -5*h**5 - 575*h**4 + 34630*h**3 + 263290*h**2 + 420415*h + 192325 = 0. What is h?
-157, -5, -1, 49
Factor l**3/2 - 833*l**2/2 + 83370*l + 253872.
(l - 492)*(l - 344)*(l + 3)/2
Solve -2*k**2 + 84332246*k + 84332248 = 0 for k.
-1, 42166124
Factor -4*m**2 - 14416*m - 7781292.
-4*(m + 