at -2*h**5/7 - 384*h**4/7 - 26476*h**3/7 - 745560*h**2/7 - 5828706*h/7 + 37038600/7 = 0.
-57, -25, 4
Find l, given that -4*l**3 - 988*l**2 - 904*l + 19680 = 0.
-246, -5, 4
Factor -v**2/3 + 67930*v/3 + 135872.
-(v - 67936)*(v + 6)/3
Solve -3*q**2/8 - 19371*q/8 = 0 for q.
-6457, 0
Suppose -27*f**3/5 - 75429*f**2/5 + 100608*f/5 - 6708 = 0. Calculate f.
-2795, 2/3
Factor 4*g**2 - 29812*g - 29816.
4*(g - 7454)*(g + 1)
Factor -2*d**2/3 - 3296*d/3 + 13216/3.
-2*(d - 4)*(d + 1652)/3
Factor 2*j**3 + 15423*j**2 - 23139*j.
j*(j + 7713)*(2*j - 3)
Suppose 26*b**4 - 450004*b**3 - 969326*b**2 - 588536*b - 69240 = 0. What is b?
-1, -2/13, 17310
Solve 57*z**4 + 501*z**3 + 690*z**2 - 168*z = 0.
-7, -2, 0, 4/19
Determine k so that -2*k**5/7 - 300*k**4/7 - 14520*k**3/7 - 35440*k**2 - 1547520*k/7 - 2214144/7 = 0.
-62, -12, -2
Suppose 3*q**2/5 + 137748*q/5 + 1581209292/5 = 0. What is q?
-22958
Factor -525*t**3 + 790*t**2 - 120*t.
-5*t*(3*t - 4)*(35*t - 6)
Determine v, given that v**5 + 266*v**4 + 20911*v**3 + 521354*v**2 + 459940*v - 1002472 = 0.
-149, -58, -2, 1
Find n, given that -82*n**5 + 25665*n**4 - 2020823*n**3 + 1970904*n**2 + 24336*n = 0.
-1/82, 0, 1, 156
Suppose -279*d**3/4 - 15764*d**2 - 3563003*d/4 - 12769/2 = 0. What is d?
-113, -2/279
Factor -2*z**2/9 + 398*z/9 + 2884/9.
-2*(z - 206)*(z + 7)/9
Factor -5*f**3 + 264745*f**2 - 3504363375*f - 3504628125.
-5*(f - 26475)**2*(f + 1)
What is r in -30*r**4 + 10227*r**3 - 865947*r**2 - 963927*r - 87723 = 0?
-1, -1/10, 171
What is u in 4*u**3 + 1664*u**2 + 3740*u - 502208 = 0?
-413, -19, 16
Let 4*g**4/7 - 372*g**3 + 417160*g**2/7 + 2188416*g/7 - 860672 = 0. Calculate g.
-7, 2, 328
Factor 25*h**3 + 5745*h**2 + 10250*h - 2280.
5*(h + 2)*(h + 228)*(5*h - 1)
Let -2*r**2/9 + 2168*r/9 + 11290 = 0. What is r?
-45, 1129
Factor 354*g**3 + 724*g**2 - 1030*g - 48.
2*(g - 1)*(g + 3)*(177*g + 8)
Factor -4*t**3 + 1352*t**2 + 289660*t + 288304.
-4*(t - 487)*(t + 1)*(t + 148)
Factor 2*k**4/5 + 556*k**3/5 + 26634*k**2/5 - 1669112*k/5 + 18024008/5.
2*(k - 19)**2*(k + 158)**2/5
Factor 3*k**5 - 972*k**4 + 5760*k**3 - 11472*k**2 + 7632*k.
3*k*(k - 318)*(k - 2)**3
Factor 5*q**2/4 + 36495*q/2 + 266377005/4.
5*(q + 7299)**2/4
Let 2*h**5 - 836*h**4 + 4874*h**3 + 28744*h**2 + 39512*h + 16480 = 0. What is h?
-2, -1, 10, 412
Find m such that -4*m**5 - 19704*m**4 - 24245764*m**3 + 48550656*m**2 - 24285184*m = 0.
-2464, 0, 1
Suppose -15*h**4 - 1029*h**3 + 2529*h**2 - 1911*h + 426 = 0. Calculate h.
-71, 2/5, 1
Factor -2*r**2/11 - 379680*r - 198215740800.
-2*(r + 1044120)**2/11
Suppose -3*y**2 + 24060*y + 48132 = 0. What is y?
-2, 8022
Factor -4*v**2 - 113316*v + 226648.
-4*(v - 2)*(v + 28331)
Find r such that -2*r**5/11 - 282*r**4/11 - 642*r**3/11 + 2302*r**2 - 47580*r/11 + 23184/11 = 0.
-138, -12, 1, 7
Suppose 9*j**4 + 238444*j**3 - 529907*j**2 + 344446*j - 52992 = 0. Calculate j.
-26496, 2/9, 1
Factor -2*k**3/3 + 100*k**2/3 + 1286*k/3 - 13216/3.
-2*(k - 59)*(k - 7)*(k + 16)/3
Find y such that -2*y**4 + 3876*y**3 - 1893360*y**2 + 14957500*y - 27936750 = 0.
3, 5, 965
Determine o, given that 2*o**5/13 - 634*o**4/13 + 50550*o**3/13 - 3598*o**2 - 247744*o/13 - 149784/13 = 0.
-1, 3, 158
Let o**3/5 + 319*o**2/5 + 20184*o/5 = 0. Calculate o.
-232, -87, 0
Let n**2 + 18331*n + 18330 = 0. What is n?
-18330, -1
Factor -7588*g**2 - 7576*g + 12.
-4*(g + 1)*(1897*g - 3)
Solve 6*x**5 + 1011*x**4 + 5412*x**3 + 5334*x**2 - 7362*x - 4401 = 0 for x.
-163, -3, -1/2, 1
Factor 5*u**4 - 5060*u**3 + 10060*u**2 + 40400*u.
5*u*(u - 1010)*(u - 4)*(u + 2)
Let 6*k**3 + 2392*k**2 - 802*k - 1596 = 0. What is k?
-399, -2/3, 1
Factor x**2/3 + 1904*x/3 - 4459.
(x - 7)*(x + 1911)/3
Solve 41*i**4/4 + 153*i**3 - 699*i**2/2 + 199*i - 51/4 = 0.
-17, 3/41, 1
Factor -2*w**2/13 - 18938*w/13 + 208560/13.
-2*(w - 11)*(w + 9480)/13
Factor -16*w**3/7 + 200*w**2 + 91887*w/7 - 8126604/7.
-(w + 76)*(4*w - 327)**2/7
Find x such that -2*x**4/5 - 276*x**3/5 - 2902*x**2/5 + 15276*x/5 - 12096/5 = 0.
-126, -16, 1, 3
Determine n so that 4*n**4 - 760*n**3 + 6576*n**2 - 10760*n - 18100 = 0.
-1, 5, 181
Factor -3*b**3 + 532725*b**2 - 532722*b.
-3*b*(b - 177574)*(b - 1)
Determine w, given that 35*w**2 - 583965*w - 166850 = 0.
-2/7, 16685
Determine p so that 2*p**3/9 + 16156*p**2/9 - 2*p/9 - 16156/9 = 0.
-8078, -1, 1
Let 2*i**4/9 + 34*i**3/9 - 7562*i**2/9 + 7526*i/9 = 0. What is i?
-71, 0, 1, 53
What is b in -2*b**4 - 140*b**3 + 4094*b**2 + 4232*b = 0?
-92, -1, 0, 23
Factor -2*p**3/3 + 13492*p**2/3 + 54064*p.
-2*p*(p - 6758)*(p + 12)/3
What is i in 15*i**4/2 + 153*i**3/4 - 66*i**2 - 657*i/4 - 135/2 = 0?
-6, -1, -3/5, 5/2
Find o such that 3*o**3/7 + 414528*o**2/7 - 829065*o/7 + 414534/7 = 0.
-138178, 1
Factor o**3/3 + 16*o**2/3 - 373*o - 378.
(o - 27)*(o + 1)*(o + 42)/3
Determine m so that -m**5/2 - 179*m**4/2 - 3359*m**3 + 80014*m**2 + 1921172*m + 1837888 = 0.
-94, -16, -1, 26
Let c**2/6 - 98173*c/6 - 32725 = 0. Calculate c.
-2, 98175
Factor 3*x**3 + 1620*x**2 + 37152*x.
3*x*(x + 24)*(x + 516)
Determine r, given that 24*r**5 - 42258*r**4 - 10593*r**3 + 47541*r**2 + 10569*r - 5283 = 0.
-1, -1/2, 1/4, 1, 1761
Find k such that -k**4 + 32*k**3 + 155*k**2 - 402*k + 216 = 0.
-6, 1, 36
Factor 2*f**3/15 + 12056*f**2/15 + 24106*f/15 + 12052/15.
2*(f + 1)**2*(f + 6026)/15
Determine d so that 2*d**2/11 - 266572*d/11 + 266570/11 = 0.
1, 133285
Factor 2*v**2/17 - 1138016*v/17.
2*v*(v - 569008)/17
Suppose -2*b**4 + 22951*b**3 - 34422*b**2 - b + 11474 = 0. What is b?
-1/2, 1, 11474
Factor 3*k**2 + 144*k - 14700.
3*(k - 50)*(k + 98)
Suppose 2*c**2 + 51120*c + 326656800 = 0. Calculate c.
-12780
Find p, given that -5*p**3 - 1955*p**2 - 251120*p - 10551420 = 0.
-146, -99
Factor -j**2/2 + 19070*j - 181832450.
-(j - 19070)**2/2
Determine p, given that -2*p**4/17 + 332*p**3/17 + 2442*p**2/17 - 3428*p/17 - 5536/17 = 0.
-8, -1, 2, 173
Factor l**4/6 + 305*l**3/2 + 103502*l**2/3 - 175720*l + 423200/3.
(l - 4)*(l - 1)*(l + 460)**2/6
Factor p**2/2 - 87*p/2 + 925.
(p - 50)*(p - 37)/2
Factor r**2/3 + 269*r/3 + 268/3.
(r + 1)*(r + 268)/3
Factor -2*u**4/3 - 7244*u**3/3 - 2246014*u**2 - 323444600*u/3 - 3987245000/3.
-2*(u + 25)**2*(u + 1786)**2/3
Let -2*h**3/9 + 18*h**2 - 1144*h/3 + 6232/9 = 0. Calculate h.
2, 38, 41
What is d in -d**5 + 45721*d**4 - 522625318*d**3 + 522488160*d**2 + 1045159200*d = 0?
-1, 0, 2, 22860
Factor 2*t**4 + 1296*t**3 + 268800*t**2 + 15253504*t - 539492352.
2*(t - 24)*(t + 224)**3
Determine n so that -12*n**4 + 33204*n**3 + 33237*n**2 - 58134*n + 16608 = 0.
-2, 1/2, 2768
Suppose -291*z**4 - 3192*z**3 + 7374*z**2 - 4008*z + 117 = 0. What is z?
-13, 3/97, 1
Let 2*q**4/9 + 46*q**3/9 - 1444*q**2/9 + 2072*q/3 - 784 = 0. What is q?
-42, 2, 3, 14
Factor -5*r**4 + 10780*r**3 - 7732800*r**2 + 1835136000*r + 7464960000.
-5*(r - 720)**3*(r + 4)
Find c, given that 2*c**2/15 - 282016*c/15 + 9941628032/15 = 0.
70504
Let -4*y**4 - 34632*y**3 - 138464*y**2 = 0. Calculate y.
-8654, -4, 0
Solve -g**5/3 + 37*g**4/3 + 4*g**3 - 460*g**2/3 + 592*g/3 = 0 for g.
-4, 0, 2, 37
Suppose 396*v**3 + 296210*v**2 + 55392392*v + 279752 = 0. Calculate v.
-374, -1/198
What is s in -s**3 + 7858*s**2 + 23587*s - 31444 = 0?
-4, 1, 7861
Factor 2*k**2/11 - 780350*k/11 - 780352/11.
2*(k - 390176)*(k + 1)/11
Factor -l**5/6 - 239*l**4/3 - 56641*l**3/6 + 19120*l**2 - 9600*l.
-l*(l - 1)**2*(l + 240)**2/6
Let -723*f**4 + 10120*f**3 - 18047*f**2 + 8626*f + 24 = 0. Calculate f.
-2/723, 1, 12
Let -c**4 + 581*c**3 + 2336*c**2 + 2340*c = 0. Calculate c.
-2, 0, 585
Factor -4*m**2/5 - 1068*m/5 - 1064/5.
-4*(m + 1)*(m + 266)/5
Suppose -2*d**4 - 1234*d**3 - 280596*d**2 - 27975448*d - 1034624720 = 0. Calculate d.
-215, -134
Factor -g**2 - 2314*g - 4624.
-(g + 2)*(g + 2312)
Let -4*s**5/3 + 164*s**4/3 - 740*s**3 + 3300*s**2 = 0. Calculate s.
0, 11, 15
Solve -t**3/2 - 281*t**2 - 29173*t/2 + 14868 = 0 for t.
-504, -59, 1
What is q in 3516*q**3 - 49228*q**2 + 172340*q - 196 = 0?
1/879, 7
What is b in -177*b**3/4 + 77879*b**2/2 - 8566360*b - 96800 = 0?
-2/177, 440
Find i such that -53*i**2/4 + 874*i + 33 = 0.
-2/53, 66
Factor 7*f**2/2 + 1786097*f/2 - 255157.
(f + 255157)*(7*f - 2)/2
Find b, given that 4*b**3 - 260*b**2 + 504*b = 0.
0, 2, 63
Let -c**3 - 11152*c**2 - 22301*c - 11150 = 0. What is c?
-11150, -1
Factor q**3 + 33200*q**2 + 597357*q + 2687742.
(q + 9)**2*(