8116*p**2 + 4239128*p + 865120 = 0. What is p?
-21628, -1, -1/4, 10
Factor -2*b**4/11 - 9615053*b**3/11 - 15408205762959*b**2/11 - 748235545478275565*b + 4115299352183158229/11.
-(b + 1602509)**3*(2*b - 1)/11
Factor -2*c**2/3 + 41588*c - 499024/3.
-2*(c - 62378)*(c - 4)/3
Suppose 9*r**4/2 + 1743*r**3/2 - 70013*r**2/2 + 643261*r/2 = 0. What is r?
-229, 0, 53/3
Suppose 4*b**2/5 + 33252*b/5 - 56894656/5 = 0. Calculate b.
-9769, 1456
Factor -2*w**3 + 1106832*w**2 - 153157875354*w + 6430678461396.
-2*(w - 276687)**2*(w - 42)
Factor -8*k**3 + 37170*k**2 - 5115177*k/8 + 22038669/8.
-(k - 4629)*(8*k - 69)**2/8
Find v such that -4*v**2 - 74223024*v - 344316080731536 = 0.
-9277878
Determine j so that -14*j**5/9 + 32982*j**4 + 21809768*j**3/9 + 45878176*j**2 + 49705344*j - 98039808 = 0.
-36, -16/7, 1, 21276
Solve 5*v**3 + 3501270*v**2 = 0 for v.
-700254, 0
Solve -5*d**4 + 935*d**3 - 24130*d**2 + 195640*d - 455040 = 0 for d.
4, 9, 16, 158
Let 3897*x**2/2 - 93507*x/4 - 63 = 0. Calculate x.
-7/2598, 12
What is c in -3*c**2 - 2080971*c - 6242886 = 0?
-693654, -3
Factor -3*u**3 + 22167*u**2 - 40012560*u - 3475466304.
-3*(u - 3736)**2*(u + 83)
What is u in 4*u**3 + 333564*u**2 - 1668016*u - 8006016 = 0?
-83396, -3, 8
Find j, given that 5*j**3 + 20355*j**2 - 1366985*j - 7343175 = 0.
-4137, -5, 71
What is n in 3*n**2 - 701*n + 698 = 0?
1, 698/3
Find w, given that -4*w**2 - 194724168*w - 2369843850205764 = 0.
-24340521
Solve -n**4/2 + 61427*n**3/2 - 943104057*n**2/2 - 6604370019*n/2 - 2830602267 = 0 for n.
-6, -1, 30717
Find y, given that -5*y**5 - 4810*y**4 - 162520*y**3 - 272330*y**2 + 1051485*y - 611820 = 0.
-927, -33, -4, 1
Solve -3*b**4 + 1404*b**3 - 236001*b**2 + 16947360*b - 441350400 = 0.
80, 127, 181
Factor p**4/7 - 70512*p**3/7 - 2680539*p**2/7 - 25468550*p/7.
p*(p - 70550)*(p + 19)**2/7
Find o such that 3*o**4 - 11922*o**3 - 384093*o**2 - 1934508*o - 1562340 = 0.
-26, -5, -1, 4006
Factor -12*g**2 + 24478*g/5 - 398786/5.
-2*(g - 17)*(30*g - 11729)/5
Factor r**2 + 224835*r - 1573894.
(r - 7)*(r + 224842)
Factor x**3 + 16995*x**2 - 101998*x + 136008.
(x - 4)*(x - 2)*(x + 17001)
Factor 1345*a**2 + 6285*a - 2200.
5*(a + 5)*(269*a - 88)
Find b such that -b**3/4 + 435*b**2/2 + 161397*b/4 - 81133/2 = 0.
-158, 1, 1027
Factor y**2/6 - 367237*y/3 + 734468.
(y - 734468)*(y - 6)/6
Find w such that -5*w**3 + 658205*w**2 - 21651485320*w - 671828728880 = 0.
-31, 65836
Factor 2*x**2/9 - 1844*x/9 - 49136/3.
2*(x - 996)*(x + 74)/9
Factor -2*o**2 + 9728*o - 10080798.
-2*(o - 3367)*(o - 1497)
Solve 5*f**2 - 30375*f - 1069250 = 0 for f.
-35, 6110
Factor 3*p**3 - 90779397*p**2 - 544676463*p - 817014735.
3*(p - 30259805)*(p + 3)**2
Factor -a**2 - 29046138*a - 210919533178761.
-(a + 14523069)**2
Suppose 2*y**2 + 27144*y - 19651658 = 0. What is y?
-14261, 689
Factor 5*j**2/4 - 310810145*j/2 + 19320589246984205/4.
5*(j - 62162029)**2/4
Suppose 9*x**3 - 492999*x**2 + 8706786*x + 2957040 = 0. What is x?
-1/3, 18, 54760
Find r, given that -3*r**2 - 190662*r + 8585865 = 0.
-63599, 45
Factor 5*m**2 + 431795*m - 30250150.
5*(m - 70)*(m + 86429)
Suppose 18*u**5/5 + 1812*u**4/5 + 1046*u**3/5 - 181796*u**2/5 + 849128*u/5 - 1009008/5 = 0. Calculate u.
-99, -13, 2, 14/3
Factor -2*d**3 + 14164*d**2 + 655600*d + 1254528.
-2*(d - 7128)*(d + 2)*(d + 44)
Solve 2*t**4/11 - 5292*t**3/11 + 4646658*t**2/11 - 1353014968*t/11 = 0 for t.
0, 764, 941
Factor 2*m**2 - 27120068*m + 91937261040578.
2*(m - 6780017)**2
Let 2*m**3/3 - 84490*m**2/9 - 2398484*m/9 - 338640 = 0. What is m?
-27, -4/3, 14110
Factor -2*p**2/11 + 3870254*p/11 + 38702740/11.
-2*(p - 1935137)*(p + 10)/11
Solve -n**4/2 - 611*n**3 - 12039*n**2/2 + 49131*n + 54540 = 0 for n.
-1212, -15, -1, 6
Find v, given that v**2/3 + 3911*v/3 - 1785812/3 = 0.
-4324, 413
Factor 4*s**3/5 + 155436*s**2/5 + 185981292*s + 1522354911028/5.
4*(s + 3451)**2*(s + 31957)/5
Solve 3*q**2 + 69972*q - 8439840 = 0.
-23444, 120
Find u such that 3*u**3 - 129295821*u**2 + 258591633*u - 129295815 = 0.
1, 43098605
Solve -u**2/4 - 9077*u/4 + 378881 = 0 for u.
-9241, 164
Factor 5*o**2/3 - 4795*o + 1477710.
5*(o - 2526)*(o - 351)/3
Let k**2/4 - 3762*k + 13739195 = 0. What is k?
6238, 8810
Factor -2*q**2 - 1042673856*q - 135896096248238592.
-2*(q + 260668464)**2
Factor z**3/4 - 4617*z**2/4 - 474081*z/2 - 235886.
(z - 4814)*(z + 1)*(z + 196)/4
Let -2*w**3/13 - 4143538*w**2/13 - 8287070*w/13 - 4143534/13 = 0. Calculate w.
-2071767, -1
Let 2*g**5/9 + 77840*g**4/9 + 811672*g**3 + 223691008*g**2/9 + 2067275776*g/9 - 565444608 = 0. What is g?
-38826, -32, 2
Suppose 4*l**4/3 - 5674996*l**3 + 8051275721560*l**2 - 11421893949687979600*l/3 - 239891729875823172000 = 0. What is l?
-63, 1418770
Factor 2*l**3/11 + 19254*l**2/11 - 16363200*l/11 + 3336640000/11.
2*(l - 400)**2*(l + 10427)/11
Find v such that -8163635*v**3 - 16327260*v**2 - 8163615*v + 10 = 0.
-1, 2/1632727
Factor 4*c**2 + 39522592*c + 97627204899904.
4*(c + 4940324)**2
Determine z so that -z**2/4 - 130141*z/4 - 130139/2 = 0.
-130139, -2
What is c in -2*c**3/5 - 11162*c**2/5 = 0?
-5581, 0
Solve -2*m**3 - 4040*m**2 + 3404800*m = 0 for m.
-2660, 0, 640
Factor 13*m**2/3 - 2687528*m - 620199.
(m - 620199)*(13*m + 3)/3
Factor -2*n**2/11 + 14195098*n/11 - 42585276/11.
-2*(n - 7097546)*(n - 3)/11
Solve -5*s**4 - 85*s**3 + 51155*s**2 + 85*s - 51150 = 0.
-110, -1, 1, 93
Suppose 3*v**4/2 - 1005*v**3/2 + 105609*v**2/2 - 4226427*v/2 + 25452630 = 0. Calculate v.
21, 67, 180
Suppose -2*q**5 - 684*q**4 - 8568*q**3 - 4492*q**2 + 37434*q - 23688 = 0. Calculate q.
-329, -12, -3, 1
Determine s so that s**3/2 - 3098*s**2 + 3486397*s/2 + 10676882241 = 0.
-1458, 3827
Factor -k**3/6 + 5336*k**2/3 + 4770710*k/3 + 1025407672/3.
-(k - 11516)*(k + 422)**2/6
Suppose 4*d**4/7 + 13760*d**3/7 + 9772*d**2 - 1017720*d/7 - 3297600/7 = 0. Calculate d.
-3435, -10, -3, 8
Let 5*b**3 - 1095310*b**2 + 1026277900*b - 240915749000 = 0. Calculate b.
470, 218122
Determine k so that 4*k**5 - 6016*k**4 + 1642432*k**3 + 492119040*k**2 + 1941811200*k = 0.
-172, -4, 0, 840
Let 3*s**3 - 390*s**2 - 16983*s + 500850 = 0. Calculate s.
-50, 21, 159
Suppose -35*z**3 - 82990*z**2 + 2510125*z + 2593080 = 0. Calculate z.
-2401, -1, 216/7
Factor -2*f**2/13 + 1238326*f/13 - 4953272/13.
-2*(f - 619159)*(f - 4)/13
Solve 3*a**3 - 16288914*a**2 = 0.
0, 5429638
Let -5*j**4 + 130170*j**3 - 11672935*j**2 - 48384150*j - 36581040 = 0. What is j?
-3, -1, 94, 25944
Factor -5*b**2 + 261867480*b - 3428728854077520.
-5*(b - 26186748)**2
Find p, given that p**5 + 1511*p**4 + 287440*p**3 - 238342752*p**2 - 1920153600*p - 3849120000 = 0.
-900, -4, 297
Solve -2*t**5/9 - 58*t**4/9 + 1958*t**3/3 - 8550*t**2 = 0 for t.
-75, 0, 19, 27
Suppose 5*o**5 + 30180*o**4 - 2992715*o**3 + 79358570*o**2 - 282487860*o + 271000120 = 0. What is o?
-6134, 2, 47
Factor 5*t**3/3 - 10480*t**2 + 439180*t/3.
5*t*(t - 6274)*(t - 14)/3
What is t in -5*t**4/2 + 660845*t**3/2 - 5286535*t**2/2 + 12555355*t/2 - 3964830 = 0?
1, 3, 4, 132161
Determine u so that u**2 - 207477*u - 2489868 = 0.
-12, 207489
Factor -u**2/7 - 919594*u/7 - 1839184/7.
-(u + 2)*(u + 919592)/7
What is s in 4*s**2/7 + 947816*s/7 + 947812/7 = 0?
-236953, -1
Suppose -2*u**3 + 320976*u**2 - 12877557096*u - 51515364128 = 0. Calculate u.
-4, 80246
Let -3*z**3/7 + 180191511*z**2 - 132581671562894697*z/7 + 132581670301554123/7 = 0. What is z?
1, 210223429
Let -2*c**3/3 + 62068*c**2/3 - 124130*c/3 + 20688 = 0. Calculate c.
1, 31032
Solve -w**5/3 + 944*w**4/3 + 7723*w**3 + 61556*w**2/3 - 554380*w/3 + 220704 = 0 for w.
-19, -9, 2, 968
Suppose -2*y**5/17 + 186*y**4/17 + 83360*y**3/17 - 10139864*y**2/17 + 29833344*y/17 - 19777024/17 = 0. Calculate y.
-214, 1, 2, 152
Determine w so that -2*w**2/3 - 31774976*w - 378618412425216 = 0.
-23831232
Solve -4*k**5 + 6336*k**4 - 2502624*k**3 - 5164088*k**2 + 52937508*k - 45277128 = 0 for k.
-6, 1, 3, 793
Factor u**2/3 - 3482038*u/3 + 3031147158361/3.
(u - 1741019)**2/3
Suppose -2*x**2/3 - 42449056*x/3 - 225240294411392/3 = 0. What is x?
-10612264
Factor p**3/5 - 1217*p**2/5 - 12686*p/5 + 510432/5.
(p - 1227)*(p - 16)*(p + 26)/5
Factor -u**3 - 4877845*u**2 + 4877846*u.
-u*(u - 1)*(u + 4877846)
Determine a, given that -5*a**2 - 25034635*a = 0.
-5006927, 0
What is a in -5*a**2 - 989099390*a - 48915880164918605 = 0?
-98909939
Let 3*