2250*k - 8000 = 0.
-1, 1, 5, 20, 32
Factor 174*s**3 + 1123552*s**2 - 904120*s.
2*s*(s + 6458)*(87*s - 70)
Factor -11*p**2/2 - 10888363*p/2 - 989851.
-(p + 989851)*(11*p + 2)/2
Find d, given that -266*d**5 + 2712*d**4 + 2672*d**3 - 96384*d**2 + 248544*d - 44928 = 0.
-6, 26/133, 4, 6
What is c in -4*c**5 - 21016*c**4 + 294916*c**3 - 485192*c**2 - 2822592*c + 5563008 = 0?
-5268, -3, 2, 4, 11
Factor -2*l**3 - 2258*l**2 + 403804*l.
-2*l*(l - 157)*(l + 1286)
Solve 3*y**4 + 890247*y**3 - 22257909*y**2 + 41845065*y - 20477406 = 0 for y.
-296774, 1, 23
Let -3*u**3 + 225657*u**2 - 676932*u - 902592 = 0. What is u?
-1, 4, 75216
Solve -b**3/3 + 18463*b**2 - 147688*b + 886096/3 = 0 for b.
4, 55381
Find v such that -4*v**5 + 476*v**4 + 13956*v**3 - 314044*v**2 + 915680*v + 1243200 = 0.
-37, -1, 5, 12, 140
Determine z so that -4*z**5 - 3061*z**4 - 100042*z**3 + 76755*z**2 = 0.
-731, -35, 0, 3/4
Factor 338*s**2/9 + 53320*s/9 - 4424/3.
2*(s + 158)*(169*s - 42)/9
Let d**2/7 - 679705*d + 4757934/7 = 0. What is d?
1, 4757934
What is r in -2*r**3/7 - 14604*r**2/7 - 3075750*r/7 - 6093100/7 = 0?
-7085, -215, -2
Find z such that 37134853413279380*z**2 - 861798740*z + 5 = 0.
1/86179874
Let -100*y**2 + 24491405*y/6 - 204095/6 = 0. What is y?
1/120, 40819
Factor 2*m**2 - 93318*m + 1585828.
2*(m - 46642)*(m - 17)
What is d in d**4/2 + 216917*d**3 + 31364172360*d**2 + 1510790717167552*d - 93789640047723008 = 0?
-144632, 62
Let -2*k**2 + 32154*k - 32198584 = 0. What is k?
1073, 15004
Factor -2*a**2 - 14488*a + 5062104.
-2*(a - 334)*(a + 7578)
Find t, given that -5*t**2 - 4953750*t + 4953755 = 0.
-990751, 1
Factor q**2 - 311642*q + 623280.
(q - 311640)*(q - 2)
Let -3*a**4 - 1332*a**3 + 29583*a**2 + 134220*a + 139500 = 0. What is a?
-465, -2, 25
Factor -6*s**2 - 119390*s - 1670284.
-2*(s + 14)*(3*s + 59653)
Determine g, given that -2*g**2/15 + 41136572*g/15 = 0.
0, 20568286
Determine d, given that -2*d**3 + 4024950*d**2 - 48299134*d + 44274186 = 0.
1, 11, 2012463
Let -q**2/2 + 4292412*q - 9212400388872 = 0. What is q?
4292412
Factor -4*p**3 + 26752*p**2 - 20050324*p + 3999501912.
-4*(p - 5862)*(p - 413)**2
Factor 100*f**2 - 92452*f + 232344.
4*(f - 922)*(25*f - 63)
Find n such that -4*n**3/3 - 2744376*n**2 - 41165540*n/3 = 0.
-2058277, -5, 0
Factor -m**4 - 2597*m**3 - 28470*m**2 - 62064*m.
-m*(m + 3)*(m + 8)*(m + 2586)
What is k in 4*k**4/5 + 359274*k**3/5 + 898152*k**2/5 - 718552*k/5 - 2155584/5 = 0?
-89816, -2, 3/2
Suppose -2*p**3/3 - 548*p**2 - 28528*p/3 + 111488 = 0. What is p?
-804, -26, 8
Factor 3*k**2/5 + 125988*k/5 - 2773188/5.
3*(k - 22)*(k + 42018)/5
Let -92*y**5/5 - 42612*y**4/5 + 163988*y**3/5 - 184828*y**2/5 + 9720*y + 14944/5 = 0. Calculate y.
-467, -4/23, 1, 2
Solve -u**2/3 + 1523*u - 3692480/3 = 0 for u.
1049, 3520
Factor 2*q**2/5 - 144377984*q/5 + 2605625282988032/5.
2*(q - 36094496)**2/5
Let -2*f**2/9 + 797228*f - 50225266/9 = 0. Calculate f.
7, 3587519
What is q in -364*q**3 - 716344*q**2 + 14436080*q - 72362400 = 0?
-180906/91, 10
Factor 222569282*r**5/7 - 2408005288*r**4/7 - 440397828*r**3/7 - 26649608*r**2/7 - 536558*r/7.
2*r*(r - 11)*(481*r + 29)**3/7
Factor -g**2/5 - 154918*g/5 - 929472/5.
-(g + 6)*(g + 154912)/5
Solve 8*n**5/11 + 27424*n**4/11 + 82226*n**3/11 + 89062*n**2/11 + 41102*n/11 + 6850/11 = 0.
-3425, -1, -1/2
Factor 4*l**3/7 - 56892*l**2/7 + 157875264*l/7 + 47382220080.
4*(l - 7794)**2*(l + 1365)/7
Suppose -c**3/3 - 2831*c**2 + 2283514*c/3 - 3735040 = 0. Calculate c.
-8754, 5, 256
Find d such that -3380*d**5 - 22880*d**4 + 661135*d**3 + 1227405*d**2 - 309510*d + 18360 = 0.
-17, -2, 3/26, 12
Find z such that 4*z**5 - 11767*z**4/5 + 97336*z**3/5 - 276587*z**2/5 + 294186*z/5 - 14616 = 0.
7/20, 2, 3, 580
Find t, given that -4*t**2 - 41304*t + 104901660 = 0.
-12435, 2109
Factor 5*h**2 + 57675*h - 924080.
5*(h - 16)*(h + 11551)
Factor -2*j**2/7 + 381937370*j/7 - 381937368/7.
-2*(j - 190968684)*(j - 1)/7
Factor -60093903*n**2 - 6*n.
-3*n*(20031301*n + 2)
Factor -68*k**2/11 - 3790*k/11 - 9858/11.
-2*(k + 53)*(34*k + 93)/11
Determine s so that -2*s**3/5 - 12486*s**2/5 - 24958*s/5 + 37446/5 = 0.
-6241, -3, 1
What is n in 6*n**4 - 4258*n**3 - 88664*n**2 - 289400*n + 233600 = 0?
-16, -5, 2/3, 730
Factor 4*w**2 - 1150972*w + 10358424.
4*(w - 287734)*(w - 9)
Find b, given that -2*b**5/7 + 1516*b**4/7 + 240726*b**3/7 - 1491064*b**2/7 + 1266848*b/7 + 428160 = 0.
-140, -1, 3, 4, 892
Factor -2*q**2/13 + 25868*q/13 + 5707534/13.
-2*(q - 13151)*(q + 217)/13
Solve 3*x**5 + 89892*x**4 - 539451*x**3 + 269760*x**2 + 899100*x = 0.
-29970, -1, 0, 2, 5
Factor 2*y**3 - 280*y**2 + 5482*y + 122980.
2*(y - 110)*(y - 43)*(y + 13)
Find h such that 4*h**5 - 79604*h**4 + 396009868*h**3 + 398636820*h**2 - 12670090848*h - 23765376240 = 0.
-5, -2, 6, 9951
Determine q so that -2*q**4/3 + 176*q**3/3 + 3238*q**2 + 66880*q/3 + 57344/3 = 0.
-32, -7, -1, 128
Solve -83*g**2/2 + 534417*g/2 + 599013 = 0.
-186/83, 6441
Factor -o**2/5 + 674549*o/5 - 674544.
-(o - 674544)*(o - 5)/5
Factor 3*v**3 + 258*v**2 + 7080*v + 62400.
3*(v + 20)*(v + 26)*(v + 40)
Let 2*r**5/7 + 44*r**4 + 3172*r**3/7 + 3616*r**2/7 - 14694*r/7 - 15444/7 = 0. Calculate r.
-143, -9, -3, -1, 2
Factor u**2/2 - 41853*u + 44047120.
(u - 82640)*(u - 1066)/2
Suppose -3*i**4 - 2304*i**3 + 451044*i**2 - 874320*i - 3571200 = 0. What is i?
-930, -2, 4, 160
Let 4*g**4 + 36907*g**3/2 - 23089*g**2/2 - 43836*g - 13842 = 0. Calculate g.
-4614, -1, -3/8, 2
Determine f so that -5*f**3 + 1445320*f**2 - 147383625*f + 3757950810 = 0.
51, 288962
Find f, given that 2*f**2/9 + 1415138*f/9 + 26885456/3 = 0.
-707512, -57
Factor -5*z**2 - 43015*z + 5057020.
-5*(z - 116)*(z + 8719)
Solve 2*q**5/9 - 90850*q**4/3 - 5179894*q**3/3 - 295281394*q**2/9 - 207800264*q = 0 for q.
-19, 0, 136332
Determine x so that -3*x**2/2 + 288525*x/2 - 14411250 = 0.
100, 96075
Factor -118818*w**3/5 + 237543*w**2/5 - 118632*w/5 - 93/5.
-3*(w - 1)**2*(39606*w + 31)/5
Factor 5*a**3 - 26720*a**2 - 12046780*a + 24200400.
5*(a - 5762)*(a - 2)*(a + 420)
Find t, given that -t**2/6 - 112999189*t/3 - 12768816714657721/6 = 0.
-112999189
Find m, given that -4*m**5 - 1404*m**4 + 130012*m**3 + 3471420*m**2 + 3340008*m = 0.
-423, -21, -1, 0, 94
Let 3*d**5 + 696*d**4 - 8247*d**3 - 55596*d**2 - 46656*d = 0. Calculate d.
-243, -4, -1, 0, 16
Determine o, given that -4*o**3 + 1433952*o**2 + 1433964*o - 2867912 = 0.
-2, 1, 358489
Solve 9*b**3/7 + 37101*b**2/7 + 123579*b/7 + 37071/7 = 0 for b.
-4119, -3, -1/3
Factor -z**2/7 + 87606*z/7 + 438205.
-(z - 87641)*(z + 35)/7
Let 3*w**4 - 18774*w**3 + 19589688*w**2 - 5617052634*w - 17027972235 = 0. What is w?
-3, 613, 5035
Let -2*g**2/7 - 21562440*g/7 - 58117352344200/7 = 0. Calculate g.
-5390610
Solve 40*b**3 + 505785*b**2 + 30515285*b - 11514360 = 0.
-12584, -61, 3/8
Factor c**4/4 + 1348*c**3 + 932038*c**2 - 2386137936*c + 783341824356.
(c - 546)**2*(c + 3242)**2/4
Let -4*a**2 - 331244*a - 62462232 = 0. What is a?
-82622, -189
Let -5*v**5 + 1177605*v**4 - 1177580*v**3 - 4710420*v**2 + 4710400*v = 0. Calculate v.
-2, 0, 1, 2, 235520
Solve m**4/6 - 141989*m**3/2 - m**2/6 + 141989*m/2 = 0 for m.
-1, 0, 1, 425967
Solve 3*q**4 - 9639*q**3 + 669138*q**2 + 87013080*q = 0 for q.
-66, 0, 140, 3139
Solve -4*z**4 + 38232*z**3 + 6308832*z**2 + 284223016*z + 2074889124 = 0 for z.
-77, -9, 9721
Suppose 5*i**4 - 381110*i**3 + 7274042200*i**2 - 449572480000*i + 870051840000 = 0. What is i?
2, 60, 38080
Determine d so that 6*d**3 + 6985730*d**2 - 11642904*d - 4657160 = 0.
-1164290, -1/3, 2
Solve j**5/5 + 219*j**4/5 + 5789*j**3/5 + 20781*j**2/5 - 64998*j - 68040 = 0 for j.
-189, -20, -15, -1, 6
Let 10*k**5/7 + 662*k**4/7 - 2718*k**3/7 - 4022*k**2/7 + 2708*k/7 + 480 = 0. Calculate k.
-70, -1, 1, 24/5
Suppose 50*n**4 + 1045*n**3 + 5562*n**2 - 459*n - 15606 = 0. Calculate n.
-51/5, -2, 3/2
What is y in -5*y**2 + 56075*y - 560250 = 0?
10, 11205
Find q such that -2*q**4/11 + 482*q**3/11 + 19288*q**2 + 1456792*q/11 - 1669440/11 = 0.
-222, -8, 1, 470
What is w in 8*w**3/9 + 442*w**2/3 + 25012*w/9 - 704 = 0?
-144, -22, 1/4
Factor -o**3 - 56979*o**2 - 811907955*o - 7302557025.
-(o + 9)*(o + 28485)**2
Factor -5*i**2/2 + 13728180*i - 18846292611240.
-5*(i - 2745636)**2/2
Factor 19*s**4 - 138414*s**3/5 - 1457*s**2/5.
s**2*(s - 1457)*(95*s + 1)/5
Determine z so that -z**5/