 6984*m - 540540 = 0. Calculate m.
-33, 26, 210
Factor 6*a**3/5 + 26511*a**2/5 - 225777*a/5.
3*a*(a + 4427)*(2*a - 17)/5
Factor -p**2 + 98715*p/2 + 7053750.
-(p - 49500)*(2*p + 285)/2
Factor n**2/2 + 548448*n + 1096895/2.
(n + 1)*(n + 1096895)/2
Factor -2*g**3/7 + 13310*g**2/7 + 481752*g/7.
-2*g*(g - 6691)*(g + 36)/7
Factor -4853209*a**3 - 24138271*a**2 + 638029*a - 4205.
-(a + 5)*(2203*a - 29)**2
Solve -2*u**4/7 - 1038*u**3 - 21600*u**2/7 + 652968*u/7 - 1568160/7 = 0.
-3630, -12, 3, 6
Determine n, given that 2*n**4 + 1897654*n**3 + 450106922822*n**2 - 13955199041454*n - 14405304066624 = 0.
-474429, -1, 32
Factor d**2/5 + 2840808*d/5 + 73860332/5.
(d + 26)*(d + 2840782)/5
Determine x so that -4*x**3 + 21220*x**2 - 34681900*x + 16170379500 = 0.
795, 2255
Find z, given that 2*z**4/5 + 10388*z**3/5 + 14494*z**2 - 768012*z/5 - 1742832/5 = 0.
-5187, -12, -2, 7
Find f such that f**3/4 + 169*f**2/2 - 2423*f/4 - 690 = 0.
-345, -1, 8
Factor -b**2/9 + 19477*b/9 + 11138348/9.
-(b - 20033)*(b + 556)/9
What is p in 2*p**4 - 35980*p**3 - 35984*p**2 + 35980*p + 35982 = 0?
-1, 1, 17991
Find u such that 5*u**5 - 54978*u**4 - 517297*u**3 + 681978*u**2 + 3653540*u + 1320600 = 0.
-10, -2, -2/5, 3, 11005
Find a such that 7163*a**3/2 + 15744277*a**2/2 + 8651485157*a/2 + 3623403/2 = 0.
-1099, -3/7163
Find q such that -2115*q**5 + 670980*q**4 + 13946795*q**3 + 45079160*q**2 - 270912340*q - 23374320 = 0.
-34/3, -4/47, 3, 337
Factor 5*p**3 - 605*p**2 + 13755*p - 68355.
5*(p - 93)*(p - 21)*(p - 7)
Factor -4*i**3 - 183766952*i**2 + 735067856*i - 735067872.
-4*(i - 2)**2*(i + 45941742)
Find g, given that -2*g**2/3 - 19631524*g/3 - 48174591820322/3 = 0.
-4907881
Solve 5*t**5 + 13425*t**4 + 2072980*t**3 + 104436640*t**2 + 1379024640*t - 15513917440 = 0 for t.
-2524, -56, 7
Let 2*n**5/5 - 8956*n**4/5 + 2649026*n**3 - 6479272304*n**2/5 + 38466430368*n/5 - 6400078848 = 0. What is n?
1, 5, 1184, 1644
Suppose 1036324*k**2 - 595530000*k + 85556250000 = 0. Calculate k.
146250/509
Factor -a**2/3 + 78671948*a/3 - 1547318850528676/3.
-(a - 39335974)**2/3
Factor -3*y**3/7 + 976356*y**2/7 - 11348604225*y + 158876553750/7.
-3*(y - 162725)**2*(y - 2)/7
Determine l so that -2*l**3 - 110620*l**2 - 1529487424*l + 3059417344 = 0.
-27656, 2
Let -4*i**4/5 + 24956*i**3/5 + 120231*i**2 + 582436*i/5 + 144049/5 = 0. What is i?
-23, -1/2, 6263
Determine g so that -32*g**5 - 126512*g**4 - 189650*g**3 + 181822*g**2 + 118564*g + 15808 = 0.
-3952, -2, -1/4, 1
Let 16*w**5/3 - 22776*w**4 - 1476991*w**3/3 + 2330762*w**2/3 - 294725*w + 98716/3 = 0. What is w?
-23, 1/4, 1, 4292
Suppose -4*p**2/3 + 77893144*p - 1137626602913388 = 0. What is p?
29209929
What is j in 3*j**3 + 573471*j**2 - 8029278*j - 18352416 = 0?
-191171, -2, 16
Factor o**3/6 - 1121*o**2 - 162626*o/3 + 112900.
(o - 6774)*(o - 2)*(o + 50)/6
Factor 2*z**3/5 + 19246*z**2/5 - 38548*z/5 - 92400.
2*(z - 6)*(z + 4)*(z + 9625)/5
Factor 2*v**3 + 1404400*v**2 + 5617576*v + 5617568.
2*(v + 2)**2*(v + 702196)
Suppose -j**4/2 + 274*j**3 + 31896*j**2 - 27547912*j + 1175280680 = 0. What is j?
-310, 46, 406
Factor -2*w**2/9 + 2416340*w/9 - 4832672/9.
-2*(w - 1208168)*(w - 2)/9
Find s, given that -3*s**5/5 - 1617*s**4/5 - 212823*s**3/5 - 3210867*s**2/5 - 1116666*s = 0.
-339, -183, -15, -2, 0
What is f in -72*f**2 - 64227*f + 646734 = 0?
-902, 239/24
Factor -2*a**2/5 - 8132*a/5 - 1313202.
-2*(a + 1111)*(a + 2955)/5
Factor -5*u**3 - 71395*u**2 - 239557175*u + 110865246375.
-5*(u - 411)*(u + 7345)**2
Factor 1015095*u**2 - 138052914*u - 816.
3*(u - 136)*(338365*u + 2)
Solve -3*h**2 + 77931*h + 15864474 = 0.
-202, 26179
Determine u, given that -13*u**3/2 - 87*u**2/2 + 1265*u = 0.
-230/13, 0, 11
Factor 23*w**2/3 + 78259*w/3 + 92906.
(w + 3399)*(23*w + 82)/3
Let 2*d**5/5 - 3028*d**4/5 - 21282*d**3/5 - 18316*d**2/5 + 19456*d + 97344/5 = 0. Calculate d.
-4, -1, 2, 1521
Factor 3*s**2/2 - 1012667364*s + 170915865018451416.
3*(s - 337555788)**2/2
Factor -8*x**2/19 + 7314006*x/19 + 1828502/19.
-2*(x - 914251)*(4*x + 1)/19
Determine d so that -2*d**5 + 5236*d**4 + 89416*d**3 + 458300*d**2 + 501050*d - 1054000 = 0.
-8, -5, 1, 2635
Determine h so that -4*h**3 - 10602436*h**2 - 7025659154540*h + 91335360829492 = 0.
-1325311, 13
Find y, given that -2*y**2/5 - 4036582*y/5 = 0.
-2018291, 0
What is m in 6*m**4/11 - 22632*m**3/11 - 6632334*m**2/11 + 26800728*m/11 - 26891160/11 = 0?
-277, 2, 4045
Factor 2*n**2/19 + 9260*n/19 - 553302/19.
2*(n - 59)*(n + 4689)/19
Factor 2*c**2/17 + 5216*c/17 + 1659854/17.
2*(c + 371)*(c + 2237)/17
Find k such that 2*k**2 - 7527702*k + 45166140 = 0.
6, 3763845
Find q, given that -8*q**5 + 15564*q**4 - 9647728*q**3 + 1592314200*q**2 + 194741415000*q + 193139437500 = 0.
-157/2, -1, 675
Determine q so that 3*q**3/5 + 67113*q**2/5 - 402762*q/5 + 537048/5 = 0.
-22377, 2, 4
Factor f**3/2 + 1359*f**2/2 + 75515*f/2 + 74157/2.
(f + 1)*(f + 57)*(f + 1301)/2
Factor f**3 + 5771*f**2 + 3639604*f - 7302300.
(f - 2)*(f + 723)*(f + 5050)
Solve 11858*r**5/9 + 14080484*r**4/9 + 2227150*r**3 + 6753764*r**2/9 + 806504*r/9 + 9488/3 = 0 for r.
-1186, -1, -2/11, -3/49
Factor -f**3 - 23839*f**2 + 60034392*f.
-f*(f - 2297)*(f + 26136)
Factor 2*s**2/7 + 25026096*s/7 - 75078306/7.
2*(s - 3)*(s + 12513051)/7
Solve y**5/3 - 73406*y**4/3 + 15381973*y**3/3 - 791446088*y**2/3 - 1629331724*y/3 - 822430256/3 = 0 for y.
-1, 106, 73196
Suppose 3*l**4 + 3602024*l**3 - 1200677*l**2 - 2401350*l = 0. Calculate l.
-1200675, -2/3, 0, 1
Find s, given that -2*s**3/9 + 24088*s**2 - 794842*s/3 + 6069560/9 = 0.
4, 7, 108385
Solve -3*r**4/5 + 6123*r**3 - 77102403*r**2/5 - 1027584363*r - 1993437810 = 0.
-63, -2, 5135
Factor w**3/6 - 4283*w**2/6 - 192238*w/3 - 125302.
(w - 4371)*(w + 2)*(w + 86)/6
Find z, given that 2*z**3/7 - 1515898*z**2/7 + 287238037584*z/7 + 287248648968 = 0.
-7, 378978
Factor q**5/6 - 38653*q**4/2.
q**4*(q - 115959)/6
Determine b so that -6*b**2 + 1768450*b + 589484 = 0.
-1/3, 294742
Determine a so that 3*a**3 + 1734834*a**2 + 250979210388*a + 50627037059064 = 0.
-289038, -202
Find w such that -4*w**2 + 91912048*w - 527989035472144 = 0.
11489006
Suppose -4*g**3 - 1768364*g**2 - 195443568096*g + 195445336464 = 0. Calculate g.
-221046, 1
Solve -147*k**5/5 - 1374093*k**4/5 + 588996*k**3/5 + 673068*k**2/5 + 112176*k/5 = 0 for k.
-9348, -2/7, 0, 1
Factor a**3/4 + 127779*a**2/4 - 37118985*a/4 + 2692650725/4.
(a - 145)**2*(a + 128069)/4
Factor -4*t**2 + 19196*t + 327488.
-4*(t - 4816)*(t + 17)
Solve 2*b**2 + 4250920*b + 12752742 = 0 for b.
-2125457, -3
Factor 2*w**3/15 - 992278*w**2/15 - 11907984*w/5 - 21434760.
2*(w - 496175)*(w + 18)**2/15
Let t**4/3 - 4124*t**3/3 + 127129*t**2/3 - 335698*t + 294696 = 0. Calculate t.
1, 12, 18, 4093
Find a such that -2*a**5/3 - 2532778*a**4 + 60786752*a**3/3 - 182360336*a**2/3 + 81049056*a - 121573600/3 = 0.
-3799175, 2
Solve i**3 + 49872*i**2 + 615270036*i - 163359132560 = 0.
-25066, 260
Factor u**4/2 - 299*u**3 - 3039*u**2/2 + 7236*u.
u*(u - 603)*(u - 3)*(u + 8)/2
Determine c so that -4*c**2/7 + 337632*c/7 = 0.
0, 84408
Let -3*k**2 + 159999654*k - 2133324106676643 = 0. What is k?
26666609
Factor 5*f**3/2 - 33093*f**2/2 - 23169*f - 6620.
(f - 6620)*(f + 1)*(5*f + 2)/2
Find h, given that -476*h**2 + 147776*h - 147300 = 0.
1, 36825/119
Determine g so that -g**3/2 + 19180*g**2 = 0.
0, 38360
Solve 20*b**3/7 + 222506572*b**2/7 - 311509232*b/7 + 89002640/7 = 0 for b.
-11125330, 2/5, 1
What is f in 2*f**4 + 1200*f**3 - 371048*f**2 + 23387520*f + 48268800 = 0?
-838, -2, 120
Solve q**2/3 + 55073552*q/3 - 18357851 = 0.
-55073553, 1
Factor -2*b**2/3 + 11468*b/3 + 989230/3.
-2*(b - 5819)*(b + 85)/3
Determine i, given that 77*i**5 - 35951*i**4 - 792836*i**3 - 80116*i**2 + 40992*i = 0.
-21, -2/7, 0, 2/11, 488
Determine i, given that -3*i**5 - 222780*i**4 + 2450886*i**3 - 4233420*i**2 + 2005317*i = 0.
-74271, 0, 1, 9
Factor c**3/7 + 897797*c**2/7 + 256513*c + 897795/7.
(c + 1)**2*(c + 897795)/7
Determine b so that -b**3 - 30603*b**2 + 183694*b + 1224360 = 0.
-30609, -4, 10
Factor -t**2/4 + 604898*t - 365901590404.
-(t - 1209796)**2/4
Factor -h**3 + 197243*h**2 + 591756*h - 3550428.
-(h - 197246)*(h - 3)*(h + 6)
Let -s**3/7 + 32586*s**2/7 - 264776220*s/7 - 1596879576 = 0. What is s?
-42, 16314
Suppose -10625*r**5 + 31885*r**4 + 669345*r**3 + 902495*r**2 - 15