 117*m**2 + 972*m.
m*(m + 9)*(m + 108)
Find d, given that -d**5 - 1245*d**4 - 390607*d**3 - 1930683*d**2 - 2694520*d - 1153200 = 0.
-620, -3, -1
Find q such that 10*q**4/3 + 19135*q**3/3 - 28750*q**2 + 115055*q/3 - 47950/3 = 0.
-1918, 1, 5/2
Factor -q**2/2 + 659*q/2 - 329.
-(q - 658)*(q - 1)/2
Factor 3*k**3/5 - 576*k**2/5 + 26028*k/5 + 22704.
3*(k - 110)*(k - 86)*(k + 4)/5
Solve -2*x**4/7 + 5136*x**3/7 - 629520*x**2 + 181703872*x - 1067718624 = 0.
6, 854
What is o in 9*o**5 - 75*o**4 + 123*o**3 + 147*o**2 - 60*o = 0?
-1, 0, 1/3, 4, 5
Let 3*f**4/4 - 153*f**3 + 30255*f**2/4 - 14823*f/2 = 0. What is f?
0, 1, 81, 122
What is l in 3*l**2 - 636*l + 21801 = 0?
43, 169
Find m such that -5*m**4 - 20050*m**3 - 20160185*m**2 - 120420300*m - 180360180 = 0.
-2002, -3
Find j, given that 3*j**2 - 78144*j + 508873728 = 0.
13024
Factor -z**3 + 1368*z**2 + 30459*z + 168190.
-(z - 1390)*(z + 11)**2
Factor 4*a**4 + 8976*a**3 + 5053456*a**2 + 20106240*a + 20070400.
4*(a + 2)**2*(a + 1120)**2
Determine j so that j**2 - 224824*j + 12636457744 = 0.
112412
Solve 3*f**5 - 74*f**4 + 494*f**3 - 652*f**2 + 103*f + 126 = 0 for f.
-1/3, 1, 9, 14
Factor -2*f**3/9 + 131362*f**2/3 - 6470924960*f/3 - 19413168968/9.
-2*(f - 98522)**2*(f + 1)/9
Let -3*u**2/2 - 1749*u + 53145/2 = 0. What is u?
-1181, 15
Factor -5*n**2 + 93720*n + 187460.
-5*(n - 18746)*(n + 2)
Factor 4*h**2/7 - 13584*h/7 + 1940.
4*(h - 3395)*(h - 1)/7
Find b such that 58038245*b**4/4 + 2518791693*b**3/4 + 497650279*b**2/2 - 292785*b + 86 = 0.
-43, -2/5, 2/3407
Factor -471*a**4 + 1581*a**3 - 1917*a**2 + 975*a - 168.
-3*(a - 1)**3*(157*a - 56)
Let -4*f**5 - 358*f**4/3 - 704*f**3 - 358*f**2/3 + 4440*f - 2200/3 = 0. Calculate f.
-22, -5, 1/6, 2
Let -c**4/3 - 17363*c**3/6 - 6279980*c**2 + 6281427*c/2 = 0. Calculate c.
-4341, 0, 1/2
Let -o**2/5 - 4183*o/5 - 70822/5 = 0. Calculate o.
-4166, -17
Let -2*n**4/11 - 288*n**3 - 1238588*n**2/11 + 1147680*n - 31760450/11 = 0. Calculate n.
-797, 5
Let 45*b**4/2 + 2307*b**3/2 + 306*b**2 = 0. Calculate b.
-51, -4/15, 0
Factor 229*p**3 + 4120*p**2 - 36*p.
p*(p + 18)*(229*p - 2)
What is y in -12*y**4/5 - 182*y**3/5 - 866*y**2/5 - 1528*y/5 - 832/5 = 0?
-8, -4, -13/6, -1
Determine h so that h**4/2 + 128*h**3 + 5657*h**2/2 + 10267*h - 13224 = 0.
-232, -19, -6, 1
What is i in -2*i**5/5 + 684*i**4/5 - 59154*i**3/5 + 22712*i**2 + 34680*i = 0?
-1, 0, 3, 170
Find x such that 3*x**2 - 5484*x - 167220 = 0.
-30, 1858
Factor -39*o**2/5 - 15441*o/5 + 3096.
-3*(o - 1)*(13*o + 5160)/5
Find k, given that -2*k**4/3 - 1592*k**3 - 2827292*k**2/3 + 9544040*k - 71880050/3 = 0.
-1199, 5
Factor 2*f**2/9 + 492034*f/9 + 492028/3.
2*(f + 3)*(f + 246014)/9
Find r, given that -r**3 + 116*r**2/3 - 76*r/3 = 0.
0, 2/3, 38
Suppose 3*y**3/4 - 123*y**2 + 4395*y/4 + 17325/2 = 0. Calculate y.
-5, 15, 154
Let -273*s**3/4 + 453*s**2 + 687*s/4 + 21/2 = 0. Calculate s.
-2/7, -1/13, 7
Let 5*p**4/2 + 35734*p**3 - 142951*p**2/2 + 35739*p = 0. What is p?
-71478/5, 0, 1
Find l such that 1472*l**3 - 48580*l**2 + 47236*l - 128 = 0.
1/368, 1, 32
Let -f**4 + 8630*f**3 - 34499*f**2 - 43130*f = 0. What is f?
-1, 0, 5, 8626
Factor 4*d**4 - 27320*d**3 + 46648900*d**2.
4*d**2*(d - 3415)**2
Factor 3*k**2/4 + 10929*k/4 + 526167.
3*(k + 204)*(k + 3439)/4
Determine m so that -3*m**5/5 - 4428*m**4/5 - 1638354*m**3/5 - 3263436*m**2/5 - 1629507*m/5 = 0.
-737, -1, 0
Factor 106*y**3 - 438*y**2 - 64*y + 480.
2*(y - 4)*(y + 1)*(53*y - 60)
Factor -d**4 - 201*d**3 - 2988*d**2 - 5180*d.
-d*(d + 2)*(d + 14)*(d + 185)
Solve -2*b**5/7 + 340*b**4/7 + 50*b**3/7 - 8500*b**2/7 = 0.
-5, 0, 5, 170
Factor -3*c**3/7 - 18*c**2/7 + 1935*c/7 - 1914/7.
-3*(c - 22)*(c - 1)*(c + 29)/7
Let 4*c**5/11 + 98*c**4/11 + 624*c**3/11 + 1330*c**2/11 + 800*c/11 = 0. What is c?
-16, -5, -5/2, -1, 0
Solve o**2/3 - 1313*o/3 + 43380 = 0 for o.
108, 1205
Let 15*o**2 + 6249*o/2 + 6219/2 = 0. What is o?
-2073/10, -1
Factor -14*j**3/5 + 197388*j**2 + 281984*j/5.
-2*j*(j - 70496)*(7*j + 2)/5
Determine u, given that -28*u**4 + 128*u**3 - 92*u**2 - 152*u + 96 = 0.
-1, 4/7, 2, 3
What is h in -h**3/4 - 126*h**2 = 0?
-504, 0
Factor -4*g**3 - 53196*g**2 - 176623776*g + 1593925776.
-4*(g - 9)*(g + 6654)**2
Find t, given that t**3/2 + 719*t**2 + 259198*t + 515524 = 0.
-718, -2
Let -3*z**2/7 - 1626*z/7 - 128448/7 = 0. Calculate z.
-446, -96
Let 4*w**3 - 2416*w**2 + 415888*w - 14838528 = 0. What is w?
48, 278
Determine j, given that j**4/5 - 138*j**3/5 + 4139*j**2/5 + 4278*j/5 = 0.
-1, 0, 46, 93
What is t in -5*t**2 + 43790*t + 306775 = 0?
-7, 8765
Factor -5*n**4 + 1790*n**3 - 193500*n**2 + 3494610*n + 311269905.
-5*(n - 129)**3*(n + 29)
Solve -h**4 - 1362*h**3 - 421681*h**2 + 29321580*h + 29741900 = 0.
-710, -1, 59
Factor -o**2 - 1505*o - 3006.
-(o + 2)*(o + 1503)
Suppose 4*d**2/5 + 56512*d/5 + 33900 = 0. Calculate d.
-14125, -3
Factor -4*s**3 + 17664*s**2 + 247884*s + 868280.
-4*(s - 4430)*(s + 7)**2
Factor 3*a**4 - 417*a**3 - 12162*a**2 - 22632*a.
3*a*(a - 164)*(a + 2)*(a + 23)
Determine p so that p**3 - 150*p**2 + 2039*p - 1890 = 0.
1, 14, 135
Find x such that -2*x**4 - 2484*x**3 - 14818*x**2 + 17304*x = 0.
-1236, -7, 0, 1
Factor -4*f**2 - 1284*f - 12440.
-4*(f + 10)*(f + 311)
Factor -2*k**4/9 - 20*k**3/3 - 128*k**2/3 + 1024*k/9.
-2*k*(k - 2)*(k + 16)**2/9
Suppose 2*w**3/7 - 104*w**2/7 + 154*w + 1184/7 = 0. Calculate w.
-1, 16, 37
Let 2*f**5/13 + 138*f**4/13 + 1438*f**3/13 - 1818*f**2/13 - 45360*f/13 = 0. What is f?
-56, -9, 0, 5
Find i such that 348*i**3 + 1816*i**2 + 1196*i - 3360 = 0.
-280/87, -3, 1
Solve -5*k**2 - 345180*k - 5957461620 = 0.
-34518
Factor 2*p**5 - 9178*p**4 + 10534048*p**3 - 10524872*p**2.
2*p**2*(p - 2294)**2*(p - 1)
Suppose 2*z**4/11 + 10*z**3/11 - 1094*z**2/11 - 10*z/11 + 1092/11 = 0. What is z?
-26, -1, 1, 21
Let -332*d**4/5 + 1654*d**3/5 + 362*d**2/5 - 1654*d/5 - 6 = 0. What is d?
-1, -3/166, 1, 5
Let 3*f**2/5 + 5358*f/5 - 5361/5 = 0. Calculate f.
-1787, 1
Suppose 12*o**5/5 + 69*o**4/5 + 6*o**3 - 84*o**2/5 - 42*o/5 + 3 = 0. Calculate o.
-5, -1, 1/4, 1
Find v such that -3*v**2 - 3739*v/2 - 623/2 = 0.
-623, -1/6
Find s such that 9*s**4 - 421*s**3 - 15142*s**2 + 711040*s + 158752 = 0.
-41, -2/9, 44
Factor 2*f**3 + 3586*f**2 - 2*f - 3586.
2*(f - 1)*(f + 1)*(f + 1793)
What is b in -3*b**2/2 - 41541*b - 575218227/2 = 0?
-13847
Find q, given that 3*q**5/4 + 49*q**4/4 - 191*q**3/2 - 41*q**2 + 66*q = 0.
-22, -1, 0, 2/3, 6
What is i in -2*i**3/3 - 114632*i**2 + 229266*i - 343900/3 = 0?
-171950, 1
Factor -2*w**2/17 + 556*w/17 + 34320/17.
-2*(w - 330)*(w + 52)/17
What is w in -4*w**5/5 - 3856*w**4/5 - 15372*w**3/5 - 2304*w**2 = 0?
-960, -3, -1, 0
Let -3*z**2 + 2535*z - 2532 = 0. What is z?
1, 844
Factor -2*l**5 + 612*l**4 - 43658*l**3 - 483480*l**2 - 1248200*l.
-2*l*(l - 158)**2*(l + 5)**2
Suppose 2*y**3/5 - 2742*y**2 = 0. What is y?
0, 6855
Factor -2*c**2/7 - 4406*c/7 - 13200/7.
-2*(c + 3)*(c + 2200)/7
What is u in 36*u**5/5 + 192*u**4/5 - 4187*u**3/5 + 2621*u**2/5 + 1226*u/5 + 112/5 = 0?
-14, -1/6, 1, 8
Suppose 3*u**4 - 4212*u**3 + 1474167*u**2 + 2998998*u - 11861016 = 0. Calculate u.
-4, 2, 703
Determine u so that -2*u**2/3 - 151904*u/9 - 354410/9 = 0.
-25315, -7/3
Determine d, given that 4*d**2 - 3080528*d + 593103297424 = 0.
385066
Determine t so that t**4/2 - 605*t**3/2 + 58167*t**2 - 3473766*t + 6717276 = 0.
2, 111, 246
Let -5*l**3 + 79945*l**2 - 239790*l = 0. What is l?
0, 3, 15986
Let -34476*n**5/5 - 552136*n**4/5 + 115692*n**3 + 3976*n**2 - 11184*n/5 - 544/5 = 0. What is n?
-17, -2/17, -2/39, 2/13, 1
Factor -2*x**3/7 + 27204*x**2/7 - 3886*x.
-2*x*(x - 13601)*(x - 1)/7
Factor 5*u**2/3 - 342955*u/3 - 1029000.
5*(u - 68600)*(u + 9)/3
Find h, given that -4*h**3 - 29068*h**2 + 2054084*h - 2025012 = 0.
-7337, 1, 69
Suppose -b**4/5 + 846*b**3/5 - 8367*b**2/5 + 5834*b/5 + 15048/5 = 0. Calculate b.
-1, 2, 9, 836
Find t such that -2*t**2 + 146*t - 1904 = 0.
17, 56
Find a, given that a**5/8 - 151*a**4/8 + 435*a**3/8 + 1355*a**2/8 - 427*a + 222 = 0.
-3, 1, 4, 148
Determine b so that 20*b**2 + 229115*b - 57280 = 0.
-11456, 1/4
Suppose 2*j**3/9 - 328*j**2/9 + 17864*j/9 - 107648/3 = 0. What is j?
48, 58
Suppose -4*k**2 + 7796*k + 31248 = 0. Calculate k.
-4, 1953
Determine d so that 6*d**3 - 226*d**2 + 748*d = 0.
0, 11/3, 34
Suppose c**3 - 1440*c**2 + 5748*c - 5744 = 0. What is c?