etermine p so that -3*p**2/4 + 33*p/2 + 15246 = 0.
-132, 154
Factor -2*k**2/11 + 1152*k/11 + 4640/11.
-2*(k - 580)*(k + 4)/11
Factor 752*s**2/5 - 14*s.
2*s*(376*s - 35)/5
Factor s**3/3 - 673*s**2 + 2016*s.
s*(s - 2016)*(s - 3)/3
Find j such that -2*j**4 + 654*j**3 + 5326*j**2 + 11370*j + 6700 = 0.
-5, -2, -1, 335
Solve n**2/4 + 747*n/4 - 5327/2 = 0.
-761, 14
Let 2*c**5/11 - 1186*c**4/11 + 4710*c**3/11 + 1186*c**2/11 - 4712*c/11 = 0. Calculate c.
-1, 0, 1, 4, 589
Factor d**3/8 - 169*d**2/8 + 748*d - 15125/2.
(d - 125)*(d - 22)**2/8
Factor 3*q**4/8 - 8418*q**3 + 189000933*q**2/4 - 94475214*q + 377867187/8.
3*(q - 11223)**2*(q - 1)**2/8
Factor -j**3/3 - 84*j**2 + j/3 + 84.
-(j - 1)*(j + 1)*(j + 252)/3
Factor -4*a**2 - 4036*a + 40760.
-4*(a - 10)*(a + 1019)
Determine z, given that -4*z**5 - 520*z**4 + 4040*z**3 + 27680*z**2 - 37156*z - 60280 = 0.
-137, -5, -1, 2, 11
What is r in 3*r**2/2 + 7461*r/2 + 154035 = 0?
-2445, -42
Factor -8*u**3 + 4198*u**2 - 81560*u + 403800.
-2*(u - 10)**2*(4*u - 2019)
Let 3*b**3 - 11751*b**2 + 2281893*b - 113690145 = 0. Calculate b.
101, 3715
Factor -5*m**2 + 3548310*m - 629525192805.
-5*(m - 354831)**2
Determine o so that -2*o**5 - 114086*o**4 + 228178*o**3 - 114090*o**2 = 0.
-57045, 0, 1
Factor -3*f**4/2 - 4335*f**3/2 - 186975*f**2 - 5528250*f - 54877500.
-3*(f + 30)**3*(f + 1355)/2
Let 2*y**2/7 + 13822*y/7 + 179348/7 = 0. What is y?
-6898, -13
Suppose d**5 + 105*d**4 + 2149*d**3 - 741*d**2 - 15722*d - 12936 = 0. Calculate d.
-77, -28, -2, -1, 3
What is u in 21*u**5/2 - 16035*u**4/2 - 39057*u**3/2 - 6945*u**2/2 + 19518*u + 11490 = 0?
-10/7, -1, 1, 766
Suppose o**3 + 324*o**2 + 3140*o = 0. What is o?
-314, -10, 0
Suppose 6*f**3 - 1797*f**2 - 47298*f - 106920 = 0. Calculate f.
-22, -5/2, 324
Suppose -y**2 + 164861*y - 164860 = 0. Calculate y.
1, 164860
Factor -n**3/5 + 277*n**2/5 - 6551*n/5 + 1255.
-(n - 251)*(n - 25)*(n - 1)/5
Find r, given that 2*r**2 + 47668*r + 284029778 = 0.
-11917
Suppose 44*p**4 + 3888*p**3 + 112320*p**2 + 993600*p - 1944000 = 0. What is p?
-30, 18/11
Factor -l**3/7 - 82*l**2/7 + 230724*l/7 + 49627080/7.
-(l - 530)*(l + 306)**2/7
Find w, given that -34*w**2/7 - 29822*w/7 - 17460 = 0.
-873, -70/17
Suppose 3*s**3 - 93*s**2 + 258*s - 168 = 0. What is s?
1, 2, 28
Solve -8*u**2/3 - 43076*u + 64616/3 = 0.
-16154, 1/2
Factor -u**4 + 8351*u**3 - 17422267*u**2 - 52341987*u.
-u*(u - 4177)**2*(u + 3)
Factor a**5 + 4740*a**4 - 14244*a**3 - 71162*a**2 - 80637*a - 28458.
(a - 6)*(a + 1)**3*(a + 4743)
Suppose -234*r**2 + 1149*r - 87 = 0. What is r?
1/13, 29/6
Factor -46*y**2 - 51708*y - 4496.
-2*(y + 1124)*(23*y + 2)
Suppose 3*y**4/2 + 39*y**3 - 522*y**2 + 756*y + 3888 = 0. Calculate y.
-36, -2, 6
Determine h, given that -2*h**3/9 - 572*h**2/3 - 42018*h - 477144 = 0.
-423, -12
Factor -49*z**2 + 1205218*z - 7410971569.
-(7*z - 86087)**2
Suppose 99*x**4 - 1390*x**3 + 52*x**2 + 56*x = 0. Calculate x.
-2/11, 0, 2/9, 14
Factor 4*j**3 - 2720*j**2 + 425012*j + 12959336.
4*(j - 353)**2*(j + 26)
What is o in -o**2 - 98*o - 1825 = 0?
-73, -25
Factor -2*c**5 - 802262*c**4 - 80454242966*c**3 - 241357915346*c**2 - 241356310832*c - 80451836192.
-2*(c + 1)**3*(c + 200564)**2
Factor 22*d**3 + 37300*d**2 + 2232600*d/11 + 3042000/11.
2*(d + 1690)*(11*d + 30)**2/11
Solve 5*q**4/2 + 85*q**3/2 - 465*q**2/2 - 14445*q/2 - 31590 = 0 for q.
-12, -9, 13
Find d such that 3*d**4 - 1188*d**3 - 23415*d**2 - 99900*d + 124500 = 0.
-10, 1, 415
Determine o so that -50*o**5 - 58470*o**4 - 17017382*o**3 + 44709462*o**2 + 19924000*o + 2060376 = 0.
-586, -1/5, 3
Find n such that -n**2 - 220*n - 219 = 0.
-219, -1
Solve -4*t**4/3 - 158720*t**3/3 + 634924*t**2/3 - 793672*t/3 + 105824 = 0 for t.
-39684, 1, 2
Determine p, given that 2*p**3/9 + 12070*p**2/9 - 24146*p/9 + 12074/9 = 0.
-6037, 1
Factor -2*z**4/5 - 5484*z**3 - 18823810*z**2 - 187827000*z - 469225000.
-2*(z + 5)**2*(z + 6850)**2/5
Factor -5*n**3 + 235*n**2 + 1550*n + 2120.
-5*(n - 53)*(n + 2)*(n + 4)
Factor 29*w**2 + 2202*w - 152.
(w + 76)*(29*w - 2)
Factor 4*v**2 + 106448*v + 708198544.
4*(v + 13306)**2
Find v, given that 2*v**2/13 - 22890*v - 297572/13 = 0.
-1, 148786
Let -4076*u**2 + 11*u = 0. What is u?
0, 11/4076
Factor -4*q**2 - 541500*q.
-4*q*(q + 135375)
Suppose 4*n**3/3 - 644*n**2/3 - 680*n + 3936 = 0. Calculate n.
-6, 3, 164
Find g such that 10*g**5 - 504*g**4 + 4850*g**3 + 4340*g**2 - 12840*g + 4144 = 0.
-2, 2/5, 1, 14, 37
Let b**3/2 + 14265*b**2/2 + 50893947*b/2 + 152553483/2 = 0. What is b?
-7131, -3
Determine p, given that 5*p**4 + 1990*p**3 - 37275*p**2 + 68560*p - 33280 = 0.
-416, 1, 16
Factor 4*v**3 - 187232*v**2 - 374476*v - 187240.
4*(v - 46810)*(v + 1)**2
Determine h so that 3*h**2/2 + 107979*h + 3886488147/2 = 0.
-35993
Determine i so that i**5 + 24544*i**4 + 150405405*i**3 - 2413634018*i**2 - 5278386080*i - 2714371200 = 0.
-12280, -1, 18
What is u in -u**2/2 + 266243*u/2 - 133121 = 0?
1, 266242
Suppose -4*w**4 + 1592*w**3 - 15568*w**2 + 18336*w + 111744 = 0. Calculate w.
-2, 6, 388
Factor -o**3/2 - 1353*o**2 - 69849*o/2 - 226460.
-(o + 13)**2*(o + 2680)/2
Factor 4*h**2 + 688*h + 29008.
4*(h + 74)*(h + 98)
What is c in -4*c**4 + 1084*c**3 - 54836*c**2 + 751316*c + 807240 = 0?
-1, 31, 210
Let -2*b**2/9 + 352*b/3 = 0. What is b?
0, 528
Factor -7*z**2/3 - 635*z/3 - 1000.
-(z + 5)*(7*z + 600)/3
Determine f so that -2*f**3/15 + 464*f**2/15 - 2366*f/3 + 11368/15 = 0.
1, 28, 203
Factor -5*w**4 + 35*w**3 + 24090*w**2.
-5*w**2*(w - 73)*(w + 66)
Let 2*l**5/5 + 2*l**4 - 98*l**3/5 - 154*l**2/5 + 816*l/5 + 864/5 = 0. Calculate l.
-9, -3, -1, 4
Find z such that z**2/5 - 1138*z/5 + 4032 = 0.
18, 1120
Solve -3*u**2/2 - 1955565*u/2 + 977784 = 0 for u.
-651856, 1
Factor -5*h**3 - 870*h**2 + 75305*h + 154050.
-5*(h - 65)*(h + 2)*(h + 237)
Factor 80*y**5 + 62040*y**4 - 217875*y**3 + 190855*y**2.
5*y**2*(y + 779)*(4*y - 7)**2
Suppose y**2/2 - 538*y + 8480 = 0. What is y?
16, 1060
Suppose u**4 + 150*u**3 - 15935*u**2 + 76440*u - 60656 = 0. What is u?
-223, 1, 4, 68
Solve -2*h**2/7 - 216*h + 87480/7 = 0 for h.
-810, 54
Factor 5*w**2 + 17675*w + 52980.
5*(w + 3)*(w + 3532)
Find r such that -r**3/8 - 301*r**2/4 + 12111*r = 0.
-734, 0, 132
Factor 2*i**2 + 1540*i + 296442.
2*(i + 383)*(i + 387)
Suppose 3*c**3/2 - 2682*c**2 - 5367*c/2 = 0. What is c?
-1, 0, 1789
What is i in 5*i**5 + 150*i**4 + 1045*i**3 + 2160*i**2 + 1260*i = 0?
-21, -6, -2, -1, 0
Suppose 88258898*q**2 - 318864*q + 288 = 0. What is q?
12/6643
Factor -2*s**3/3 - 4814*s**2/3 - 961584*s + 4848120.
-2*(s - 5)*(s + 1206)**2/3
Factor -l**2 - 6006*l + 12016.
-(l - 2)*(l + 6008)
Solve -27*w**4 + 777*w**3 + 7788*w**2 - 27468*w - 6480 = 0.
-10, -2/9, 3, 36
Factor -2*w**3 + 700*w**2 - 1394*w + 696.
-2*(w - 348)*(w - 1)**2
Solve -5*m**4 + 900*m**3 + 5555*m**2 + 4650*m = 0.
-5, -1, 0, 186
Suppose 4*w**4 + 768*w**3 + 28556*w**2 - 29328*w = 0. Calculate w.
-141, -52, 0, 1
Solve -4*k**2 - 21084*k + 21088 = 0 for k.
-5272, 1
Find o, given that 5*o**4 - 145*o**3 - 155*o**2 + 145*o + 150 = 0.
-1, 1, 30
Suppose -18*w**5/11 + 4550*w**4/11 - 12416*w**3/11 - 20984*w**2/11 - 4000*w/11 = 0. What is w?
-1, -2/9, 0, 4, 250
Solve 2*m**4 + 106*m**3 - 3500*m**2 - 15208*m - 15600 = 0 for m.
-75, -2, 26
Factor -33*f**2 + 312*f + 43776.
-3*(f + 32)*(11*f - 456)
Solve 4*h**5 - 344*h**4 - 4352*h**3 + 6008*h**2 + 201980*h + 543200 = 0 for h.
-8, -5, 7, 97
Factor -5*o**3 - 1730*o**2 + 3480*o.
-5*o*(o - 2)*(o + 348)
Factor 3*g**2 - 151761*g - 151764.
3*(g - 50588)*(g + 1)
Let 2166*s**5 - 503728*s**4 + 29427662*s**3 - 16328628*s**2 - 1963648*s - 53824 = 0. Calculate s.
-1/19, 2/3, 116
Find p, given that -20*p**2 - 60735*p - 45540 = 0.
-3036, -3/4
Factor -3*a**2 + 1731*a - 47676.
-3*(a - 548)*(a - 29)
Suppose -2*f**2/7 - 1962*f/7 + 316404/7 = 0. Calculate f.
-1122, 141
Find b, given that -9*b**5 + 60*b**4 - 117*b**3 + 90*b**2 - 24*b = 0.
0, 2/3, 1, 4
Determine x so that -2*x**2/7 + 1024*x/7 + 2056/7 = 0.
-2, 514
Suppose -3*z**4 + 1494*z**3 - 33135*z**2 + 170568*z + 205200 = 0. Calculate z.
-1, 12, 475
Factor -4*b**2 - 780*b + 13504.
-4*(b - 16)*(b + 211)
Factor -z**4 - 619*z**3 + 621*z**2 + 619*z - 620.
-(z - 1)**2*(z + 1)*(z + 620)
Factor -10*f**3 - 39658*f**2 - 158608*f/5 - 6344.
-2*(f + 3965)*(5*f + 2)**2/5
Determine j so that -9*j**5/2 - 17490*j**4 - 93237*j**3