5 - 682*u**2/15 - 11830*u/3 - 57122/5.
-2*(u + 3)*(u + 169)**2/15
Factor -b**4 + 54*b**3 - 100*b**2 - 216*b + 416.
-(b - 52)*(b - 2)**2*(b + 2)
Find x such that -4*x**5/9 - 28*x**4/9 + 620*x**3/9 + 668*x**2/9 - 616*x/9 - 640/9 = 0.
-16, -1, 1, 10
What is a in -3*a**2 - 1332*a - 3969 = 0?
-441, -3
Let -2*o**3/5 - 4682*o**2/5 + 23452*o/5 - 18768/5 = 0. Calculate o.
-2346, 1, 4
Factor 5*h**5 + 730*h**4 + 35520*h**3 + 576000*h**2.
5*h**2*(h + 48)**2*(h + 50)
Determine g so that -5*g**5 - 1345*g**4 - 46095*g**3 + 146405*g**2 - 149120*g + 50160 = 0.
-228, -44, 1
Factor -44*j**2/9 - 79240*j/9 + 7204/9.
-4*(j + 1801)*(11*j - 1)/9
Factor -p**4/4 + 43*p**3/4 - 161*p**2/4 + 197*p/4 - 39/2.
-(p - 39)*(p - 2)*(p - 1)**2/4
Factor 4*w**3 + 12000*w**2 + 9000000*w.
4*w*(w + 1500)**2
Factor -y**2/5 + 712*y/5 + 2864/5.
-(y - 716)*(y + 4)/5
Factor -3*m**2/5 + 46089*m/5 + 64554.
-3*(m - 15370)*(m + 7)/5
Find j such that 804*j**2 - 30543*j - 342 = 0.
-3/268, 38
Factor -u**3/5 - 9*u**2 - 662*u/5 - 3192/5.
-(u + 12)*(u + 14)*(u + 19)/5
Factor -y**2/5 + 87*y/5 + 3914.
-(y - 190)*(y + 103)/5
Factor -2*d**4 - 1606*d**3 + 11340*d**2.
-2*d**2*(d - 7)*(d + 810)
Solve -u**2 + 452*u - 2235 = 0.
5, 447
Factor -5*h**2 - 1105*h + 13980.
-5*(h - 12)*(h + 233)
Solve 39*t**4/4 + 4029*t**3/2 + 19350*t**2 - 17565000*t - 910500000 = 0 for t.
-100, 1214/13
Let 32*u**4/11 + 5150*u**3/11 - 50434*u**2/11 - 192708*u/11 + 12240/11 = 0. What is u?
-170, -3, 1/16, 12
Determine r so that -r**5/5 - 687*r**4/5 + 7668*r**3/5 - 1396*r**2 = 0.
-698, 0, 1, 10
Factor -7*s**4 - 139*s**3 + 167*s**2 - 21*s.
-s*(s - 1)*(s + 21)*(7*s - 1)
Determine r, given that 4*r**4/9 - 68500*r**3/9 + 43449296*r**2 - 744286394816*r/9 + 743895419648/9 = 0.
1, 5708
Factor -32*c**5/5 + 3764*c**4/5 + 1416*c**3/5.
-4*c**3*(c - 118)*(8*c + 3)/5
Solve 10*w**5 + 254*w**4 - 1800*w**3 - 1760*w**2 + 7040*w + 2976 = 0 for w.
-31, -2, -2/5, 2, 6
Factor -2*h**3 + 356*h**2 - 3022*h - 3380.
-2*(h - 169)*(h - 10)*(h + 1)
Factor -2*j**3 - 186*j**2 - 4140*j - 10800.
-2*(j + 3)*(j + 30)*(j + 60)
Determine l so that 4*l**2 + 461192*l + 13293628804 = 0.
-57649
Factor -i**2/4 + 281697*i/2 - 79353199809/4.
-(i - 281697)**2/4
Determine p, given that -2*p**2/13 - 2932*p/13 - 270666/13 = 0.
-1367, -99
Factor w**2/9 - 1682*w/9 + 707281/9.
(w - 841)**2/9
Find t, given that -2*t**4/5 + 242*t**3/15 + 944*t**2/15 + 1048*t/15 + 352/15 = 0.
-2, -1, -2/3, 44
Suppose 2*a**3/11 + 700*a**2/11 - 79054*a/11 + 1961592/11 = 0. Calculate a.
-444, 47
Suppose -2*l**4/19 - 34*l**3/19 + 914*l**2/19 - 1550*l/19 - 2496/19 = 0. Calculate l.
-32, -1, 3, 13
Determine t, given that -3*t**3 - 2328*t**2 - 2325*t = 0.
-775, -1, 0
Factor -2*d**3/9 + 140*d**2/9 - 518*d/9 - 220/3.
-2*(d - 66)*(d - 5)*(d + 1)/9
What is l in -2*l**4/3 + 160*l**3/3 + 2054*l**2/3 - 4732*l/3 = 0?
-13, 0, 2, 91
Find g such that 3*g**2/2 + 29823*g/2 - 74595 = 0.
-9946, 5
Factor -4*q**2 - 9308*q + 671160.
-4*(q - 70)*(q + 2397)
Factor 4*s**2/5 + 83272*s - 416380.
4*(s - 5)*(s + 104095)/5
Suppose 2553604*x**4/3 - 20416048*x**3/3 + 30540992*x**2/3 + 153280*x/3 + 64 = 0. What is x?
-2/799, 2, 6
Solve -4*x**2/5 - 164*x/5 + 1320 = 0 for x.
-66, 25
Factor 5*m**3 - 720*m**2 + 32400*m - 432000.
5*(m - 60)**2*(m - 24)
Solve -3*o**4/2 - 11367*o**3/2 + 332001*o**2/2 - 629889*o/2 + 154629 = 0.
-3818, 1, 27
Factor -2*h**3/7 - 816*h**2/7 + 822*h/7 + 1636/7.
-2*(h - 2)*(h + 1)*(h + 409)/7
Solve i**4/2 - 1283*i**3/2 - 72857*i**2 - 2092064*i - 5637840 = 0.
-52, -3, 1390
Determine b so that -b**2/5 + 7734*b - 38669/5 = 0.
1, 38669
Determine l, given that 3*l**4/2 + 611*l**3/3 - 1505*l**2/6 + 137*l/3 = 0.
-137, 0, 2/9, 1
Factor 2*p**2 - 1566972*p - 1566974.
2*(p - 783487)*(p + 1)
Suppose 5*t**3 + 4290*t**2 - 8595*t + 4300 = 0. What is t?
-860, 1
Suppose 2*l**3/5 + 2*l**2/5 - 32*l - 120 = 0. What is l?
-6, -5, 10
Factor 5*q**3/4 - 7500*q**2 + 11052465*q + 595183940.
5*(q - 3026)**2*(q + 52)/4
Determine b so that -5*b**5 + 360*b**4 - 8570*b**3 + 77940*b**2 - 301025*b + 418500 = 0.
4, 5, 27, 31
Factor 3*q**3 + 204*q**2 + 3840*q + 12288.
3*(q + 4)*(q + 32)**2
Factor -o**3/3 + 2078*o**2/3 - 20680*o/3.
-o*(o - 2068)*(o - 10)/3
Factor -3*l**3/5 - 903*l**2/5 + 3648*l/5 - 732.
-3*(l - 2)**2*(l + 305)/5
Find b such that -2*b**3/11 + 15380*b**2/11 + 30766*b/11 + 15384/11 = 0.
-1, 7692
Factor i**3/6 - 857*i**2/6 - 1289*i/3 - 860/3.
(i - 860)*(i + 1)*(i + 2)/6
Factor q**2/2 - 105*q/2 - 452.
(q - 113)*(q + 8)/2
Solve -3*f**2 - 1797*f = 0 for f.
-599, 0
Let -4*x**5 + 174*x**4 + 110*x**3 - 990*x**2 + 974*x - 264 = 0. What is x?
-3, 1/2, 1, 44
Determine j, given that j**5/4 + 25*j**4/2 + 327*j**3/4 - 189*j**2/2 = 0.
-42, -9, 0, 1
Solve 2*g**2/7 + 1720*g/7 + 8550/7 = 0 for g.
-855, -5
Determine b so that 10*b**2/13 + 39206*b/13 - 15684/13 = 0.
-3921, 2/5
Determine i so that -5*i**2 - 6635*i - 257400 = 0.
-1287, -40
What is z in -3*z**2/7 - 948*z/7 + 1980 = 0?
-330, 14
Factor 3*o**4 - 1095*o**3 - 57744*o**2 - 713664*o.
3*o*(o - 413)*(o + 24)**2
Let -s**3/2 + 17*s**2/2 + 3880*s = 0. Calculate s.
-80, 0, 97
Let -k**4/8 + 55781*k**3/8 - 27889*k**2/4 - 13945*k = 0. What is k?
-1, 0, 2, 55780
Suppose 9*u**3/5 - 983*u**2/5 + 3998*u/5 - 168 = 0. What is u?
2/9, 4, 105
Suppose 2*h**3 - 295634*h**2 + 10924489280*h + 32776128600 = 0. Calculate h.
-3, 73910
Determine r so that -2*r**5/9 + 1262*r**4/9 - 6248*r**3/9 - 2504*r**2/3 = 0.
-1, 0, 6, 626
Let 3*n**5 - 858*n**4 - 16545*n**3 + 39036*n**2 + 54720*n = 0. Calculate n.
-20, -1, 0, 3, 304
Factor 2*c**2 + 752*c + 4440.
2*(c + 6)*(c + 370)
Factor -10*w**4 - 19795*w**3 - 9895*w**2.
-5*w**2*(w + 1979)*(2*w + 1)
Factor -3*d**3/2 + 1293*d**2/2 - 32097*d/2 + 205335/2.
-3*(d - 405)*(d - 13)**2/2
Factor 22*b**2 + 862*b - 720.
2*(b + 40)*(11*b - 9)
Factor -5*q**3 - 14915*q**2 + 1907120*q - 59716540.
-5*(q - 62)**2*(q + 3107)
Find y such that 3*y**4/5 + 13746*y**3/5 + 15787227*y**2/5 + 94352544*y/5 + 141343488/5 = 0.
-2288, -3
Factor -5*y**2 + 88275*y + 529830.
-5*(y - 17661)*(y + 6)
Find h, given that 2*h**4 + 13004*h**3 + 13000*h**2 - 13004*h - 13002 = 0.
-6501, -1, 1
Let 3*w**5/2 - 390*w**4 + 31275*w**3/2 - 250125*w**2 + 1796250*w - 4837500 = 0. Calculate w.
10, 15, 215
What is u in -2116*u**3/3 - 11684*u**2/3 - 1888*u - 240 = 0?
-5, -6/23
Determine r so that 7*r**5/3 - 512*r**4/3 - 4904*r**3/3 - 4866*r**2 - 4437*r + 738 = 0.
-3, 1/7, 82
Factor 2*d**3/7 - 1202*d**2/7 + 11798*d/7 + 13002/7.
2*(d - 591)*(d - 11)*(d + 1)/7
Let u**2/5 - 4449*u/5 - 17812/5 = 0. Calculate u.
-4, 4453
Find k such that 16*k**4 + 27828*k**3 - 76628*k**2 + 34848*k + 13936 = 0.
-1742, -1/4, 1, 2
Determine b so that 18*b**3 + 1619844*b**2 + 2159768*b + 719920 = 0.
-89990, -2/3
Suppose h**2/4 - 727*h + 2907/4 = 0. What is h?
1, 2907
Solve 32*z**5 - 1944*z**4 + 16388*z**3 - 24504*z**2 + 11660*z - 1632 = 0 for z.
1/4, 1/2, 1, 8, 51
Factor 821012547*d**2 + 3176256*d + 3072.
3*(16543*d + 32)**2
Let -49*i**5/4 + 293923*i**4/4 - 440831983*i**3/4 + 188730073*i**2/4 + 53958008*i + 8994001 = 0. Calculate i.
-2/7, 1, 2999
Solve -2*t**2/3 + 152*t + 7808/3 = 0.
-16, 244
Let -t**5/3 + 2243*t**4/3 - 418880*t**3 - 419628*t**2 = 0. What is t?
-1, 0, 1122
Let a**2/2 - 23979*a - 47959/2 = 0. What is a?
-1, 47959
Suppose -3*w**2 + 50154*w - 100296 = 0. What is w?
2, 16716
Find d such that -12*d**5 + 5606*d**4/3 - 199532*d**3/3 - 497070*d**2 + 113724*d = 0.
-13/2, 0, 2/9, 81
Factor -r**3/3 - 80*r**2 - 6881*r/3 + 20090.
-(r - 7)*(r + 42)*(r + 205)/3
Determine m, given that 995*m**3 + 4040*m**2 + 3225*m + 180 = 0.
-3, -1, -12/199
Find a, given that 24*a**2 + 7372*a + 3680 = 0.
-920/3, -1/2
Solve 3*i**5 - 489*i**4 + 17454*i**3 + 55326*i**2 + 56319*i + 18939 = 0 for i.
-1, 59, 107
Find q such that -3*q**3 - 16047*q**2 - 21321801*q + 367122939 = 0.
-2683, 17
Factor 4*f**2/5 + 674644*f/5 - 674648/5.
4*(f - 1)*(f + 168662)/5
Let -g**2/8 + 253*g/8 - 474 = 0. Calculate g.
16, 237
Let 282747*d**3 + 312219*d**2 + 30240*d + 768 = 0. Calculate d.
-1, -16/307
What is l in 4*l**3/3 + 12212*l**2/3 + 24412*l/3 + 4068 = 0?
-3051, -1
Let k**4/10 + 36947*k**3/5 + 1365006913*k**2/10 - 1365117756*k/5 + 682577352/5 = 0. Calculate k.
-36948, 1
Determine u, given that 3*u**2 - 207*u - 180198 = 0.
-213, 282
Factor c**2/5 + 42874*c/5 + 459544969/5.
(c + 21437)**2/5
Let 9*u**5