3
Suppose -578*c**5 - 298418*c**4 - 38253710*c**3 + 27801202*c**2 + 83703928*c + 32210200 = 0. Calculate c.
-275, -242, -11/17, 2
Solve 2*t**3/9 + 8588*t**2/3 + 2410034*t/3 + 7204340/9 = 0 for t.
-12595, -286, -1
Let 3*j**5 + 5328*j**4 - 48177*j**3 + 32178*j**2 + 85680*j = 0. What is j?
-1785, -1, 0, 2, 8
Factor -3*o**2 - 310401*o + 2793852.
-3*(o - 9)*(o + 103476)
Solve 9*p**3/4 - 136245*p**2/8 + 680325*p/4 = 0 for p.
0, 10, 45355/6
Let -3*c**4 + 14607*c**3 + 278466*c**2 + 733104*c + 469248 = 0. What is c?
-16, -2, -1, 4888
Factor 5*n**2 - 40015*n - 192815770.
5*(n - 11389)*(n + 3386)
Factor -3*h**3 - 5442*h**2 - 187083*h - 512352.
-3*(h + 3)*(h + 32)*(h + 1779)
Find o such that 3*o**3/2 + 7911*o**2/2 - 175431*o/2 + 167517/2 = 0.
-2659, 1, 21
Factor 4*c**3 + 3348784*c**2 + 700853606196*c - 18224457609384.
4*(c - 26)*(c + 418611)**2
Let -373*u**4 + 9758*u**3 - 67208*u**2 + 106048*u - 15360 = 0. What is u?
60/373, 2, 8, 16
Factor 2*l**3/5 - 4456218*l**2/5 - 8912442*l/5 - 4456222/5.
2*(l - 2228111)*(l + 1)**2/5
Determine j so that 21*j**4 - 19293*j**3 - 56758035*j**2 - 23088574407*j - 6592102686 = 0.
-691, -2/7, 2301
Let 716*s**4 - 5720*s**3 - 45888*s**2 + 366080*s + 4096 = 0. Calculate s.
-8, -2/179, 8
Let -100*l**3 + 1011940*l**2 - 404764*l + 40476 = 0. What is l?
1/5, 10119
Factor -4*y**2 + 5174224*y - 20696832.
-4*(y - 1293552)*(y - 4)
Suppose -3*s**3/5 + 7041*s**2/5 - 321390*s + 14343480 = 0. What is s?
60, 190, 2097
Factor 3*b**3/7 - 764388*b**2/7 + 9172332*b/7 - 27516672/7.
3*(b - 254784)*(b - 6)**2/7
Factor 2*z**2/9 + 4462*z/3 + 14671744/9.
2*(z + 1381)*(z + 5312)/9
Let a**3 + 326079*a**2 + 1956438*a = 0. Calculate a.
-326073, -6, 0
Suppose 4*f**5 - 55952*f**4 + 949728*f**3 + 4198424*f**2 - 99536164*f + 94443960 = 0. What is f?
-10, 1, 13, 13971
Factor 2154735*l**2 - 2154730*l - 5.
5*(l - 1)*(430947*l + 1)
Factor -5*w**2/4 - 10020695*w/4 - 165338745/2.
-5*(w + 33)*(w + 2004106)/4
What is g in g**3/3 - 454244*g**2/3 + 6661585*g + 6813000 = 0?
-1, 45, 454200
Let -a**5/3 + 1821*a**4 - 3220840*a**3 + 6012097136*a**2/3 - 402852853760*a - 404860108800 = 0. What is a?
-1, 492, 2240
Factor -w**5/2 - 22767*w**4/2 - 68283*w**3.
-w**3*(w + 6)*(w + 22761)/2
What is k in -27*k**5/4 - 1203*k**4/2 + 14249*k**3/4 - 5944*k**2 + 2559*k = 0?
-853/9, 0, 2/3, 2, 3
Factor -2*q**2/5 + 4636472*q/5 + 9272952/5.
-2*(q - 2318238)*(q + 2)/5
Factor -2*x**2 - 350894*x + 2105436.
-2*(x - 6)*(x + 175453)
Solve -4*l**2/5 + 7596696*l/5 - 3606861882276/5 = 0 for l.
949587
Find w such that 48*w**3 - 2084*w**2 - 27652*w + 11880 = 0.
-11, 5/12, 54
Let -g**4/6 - 79715*g**3/6 - 26571*g**2 = 0. What is g?
-79713, -2, 0
Suppose 15*t**5 + 531*t**4 - 118965*t**3 + 3393405*t**2 - 24798810*t - 10470096 = 0. What is t?
-119, -2/5, 13, 24, 47
Let g**3 + 136845*g**2 - g - 136845 = 0. What is g?
-136845, -1, 1
Factor -426*q**2/17 + 1510592*q/17 + 14184/17.
-2*(q - 3546)*(213*q + 2)/17
Solve -b**2 + 212850764*b - 11326361933845924 = 0.
106425382
Factor -2*a**4 - 22266*a**3 + 1071840*a**2 - 17165824*a + 91594752.
-2*(a - 16)**3*(a + 11181)
What is g in 2*g**3/3 + 14451168*g**2 + 78313639565070*g + 469881317148516 = 0?
-10838373, -6
Find c, given that -c**2 - 50317*c - 25056442 = 0.
-49814, -503
Factor 5*x**2 - 16965*x + 12129280.
5*(x - 2369)*(x - 1024)
Factor -152002*n**3/3 + 253333*n**2 + 55*n/3.
-n*(n - 5)*(152002*n + 11)/3
Suppose 2*b**3 - 5454*b**2 - 46551714*b - 55295162258 = 0. Calculate b.
-2021, 6769
Solve 4*c**3 + 105916*c**2 - 10523736*c + 30617856 = 0 for c.
-26578, 3, 96
Factor 2*i**2 - 8707844*i + 9478318391042.
2*(i - 2176961)**2
Suppose 2*f**2/9 - 74870*f/3 + 449212/9 = 0. Calculate f.
2, 112303
Factor -w**2/5 + 1765320*w - 3895443378000.
-(w - 4413300)**2/5
What is f in 2*f**3 + 18343870*f**2 + 42062186650176*f - 42062204994048 = 0?
-4585968, 1
Factor r**2/2 - 595183*r/2.
r*(r - 595183)/2
Factor 2*z**2/11 + 346*z/11 - 243516/11.
2*(z - 273)*(z + 446)/11
Factor 93*b**2 + 186566934*b + 12036576.
3*(b + 2006096)*(31*b + 2)
Find p, given that 10*p**4 - 5095*p**3 - 598920*p**2 - 4271895*p - 7563780 = 0.
-92, -9/2, -3, 609
Factor a**3 - 450590*a**2 - 1802372*a - 1802376.
(a - 450594)*(a + 2)**2
Factor 4*q**3 - 37241412*q**2.
4*q**2*(q - 9310353)
Solve -5*q**3 + 2582765*q**2 - 20661880*q + 41323600 = 0 for q.
4, 516545
Solve 17*n**3/5 - 5249*n**2/5 - 722648*n/5 - 169744/5 = 0.
-103, -4/17, 412
Suppose -4*r**3 + 22252*r**2 - 707696*r - 1504432 = 0. What is r?
-2, 34, 5531
Let 5*d**2 - 1074065*d + 12888060 = 0. What is d?
12, 214801
Factor 4*b**2 + 25840*b - 5630324.
4*(b - 211)*(b + 6671)
Factor -5*i**2 + 42685385*i - 256112130.
-5*(i - 8537071)*(i - 6)
Factor -5*u**3 - 128420*u**2 - 809881825*u + 189650188250.
-5*(u - 226)*(u + 12955)**2
Factor 2*i**2/15 - 1178806*i/15 + 392932.
2*(i - 589398)*(i - 5)/15
Let -5*z**5/4 + 3275*z**4/4 - 63070*z**3 + 1439875*z**2 - 6054000*z + 6840000 = 0. What is z?
2, 3, 40, 570
Factor 4*r**3 + 633100*r**2 - 633104*r.
4*r*(r - 1)*(r + 158276)
Factor -12*n**2 + 65525130*n - 357795221793075/4.
-3*(4*n - 10920855)**2/4
Find o, given that 3*o**4 - 1499*o**3 + 15627*o**2 + 10379*o - 53790 = 0.
-2, 5/3, 11, 489
Suppose -2*d**3/7 - 14506*d**2/7 - 28988*d/7 + 116016/7 = 0. Calculate d.
-7251, -4, 2
Find y, given that 175410*y**2 - 1929507*y - 33 = 0.
-1/58470, 11
Solve -2*p**3 + 10076*p**2 - 8314070*p + 16587852 = 0 for p.
2, 1037, 3999
Solve -o**4 - 5499*o**3 - 38444*o**2 + 36*o + 197712 = 0.
-5492, -6, -3, 2
Suppose -w**3/7 + 3431895*w**2/7 - 10295678*w/7 + 6863784/7 = 0. Calculate w.
1, 2, 3431892
Find w, given that -w**5/7 + 54676*w**4/7 + 546836*w**3/7 + 1312496*w**2/7 - 1749824*w/7 - 6999808/7 = 0.
-4, 2, 54686
Solve -2*s**4 + 124*s**3 + 11026*s**2 + 206004*s + 1140048 = 0.
-29, -14, -12, 117
Find i such that -5*i**5 + 28750*i**4 + 1830215*i**3 + 5116700*i**2 - 7320780*i - 20926800 = 0.
-60, -3, -2, 2, 5813
Suppose 10*d**5 - 11228*d**4 + 272724*d**3 - 461296*d**2 + 149282*d + 50508 = 0. What is d?
-1/5, 1, 23, 1098
What is y in -2*y**2 + 1521996*y - 79138384 = 0?
52, 760946
Factor -l**3 - 11382*l**2 - 102375*l - 204714.
-(l + 3)*(l + 6)*(l + 11373)
Factor 3*n**2/7 + 19869*n/7 + 32665410/7.
3*(n + 3033)*(n + 3590)/7
Solve 3*j**5 - 5484*j**4 - 654228*j**3 + 28465344*j**2 = 0.
-144, 0, 34, 1938
Solve 43*r**4/5 + 373*r**3 + 15299*r**2/5 - 7273*r + 19158/5 = 0.
-31, -618/43, 1
Solve 9455*h**4/2 + 226155*h**3/2 - 784205*h**2/2 + 62205*h/2 - 405 = 0 for h.
-27, 1/61, 2/31, 3
Factor -h**3/3 - 21447*h**2 - 42893*h - 64339/3.
-(h + 1)**2*(h + 64339)/3
Let 895*b**3 + 35252*b**2/3 + 112957*b/3 - 15694/3 = 0. Calculate b.
-7, -1121/179, 2/15
Factor -3*m**2 + 15456102*m - 19907590752867.
-3*(m - 2576017)**2
Factor 4*v**4 - 7314368*v**3 + 3344297235064*v**2 - 501521162049600*v + 18805500828922500.
4*(v - 914221)**2*(v - 75)**2
Determine r so that 3*r**3 - 54918*r**2 + 13969152*r = 0.
0, 258, 18048
Factor -u**3/11 - 4093*u**2/11 - 3986976*u/11 + 416559420/11.
-(u - 95)*(u + 2094)**2/11
Let 38*u**4/17 - 50622*u**3/17 - 399710*u**2/17 + 522654*u/17 - 72360/17 = 0. Calculate u.
-9, 3/19, 1, 1340
Let -g**3/7 - 3212712*g**2/7 - 16063541*g/7 - 19276242/7 = 0. Calculate g.
-3212707, -3, -2
Factor s**3 - 179765*s**2 + 8083805075*s - 444065656375.
(s - 89855)**2*(s - 55)
Suppose -110*j**3 + 60055*j**2 + 123290*j + 5480 = 0. What is j?
-2, -1/22, 548
Find w, given that -5*w**5/3 + 7916*w**4/3 - 3041336*w**3/3 - 72906242*w**2/3 - 241376179*w/3 - 171519194/3 = 0.
-19, -14/5, -1, 803
Factor d**3/3 - 224*d**2 + 60767*d/3 - 58760.
(d - 565)*(d - 104)*(d - 3)/3
Determine y, given that -62*y**2 - 444365*y/2 + 91392 = 0.
-3584, 51/124
Factor w**2/4 + 17277*w/4 - 377667.
(w - 87)*(w + 17364)/4
Factor -k**3 + 1509*k**2 - 550424*k + 548916.
-(k - 894)*(k - 614)*(k - 1)
Solve 8978*g**5 + 529166*g**4 + 3847684*g**3 - 136587092*g**2 - 282645462*g - 142730874 = 0 for g.
-2343/67, -1, 13
Solve -5*m**2 + 363890230*m - 6620804974472645 = 0.
36389023
Suppose 10*o**4 - 18856*o**3 + 1939096*o**2 + 13139616*o + 4944384 = 0. Calculate o.
-6, -2/5, 116, 1776
Let 8*b**3 - 746318*b**2 - 2425598*b - 1865860 = 0. What is b?
-2, -5/4, 93293
Suppose 3*y**3 + 198153*y**2 - 2774658*y + 4756680 = 0. Calculate y.
-66065, 2, 12
Factor -5*b**2 - 18013060*b - 72052160.
-5*(b + 4)*(b + 3602608)
Determine x 