43600 = 0.
40, 4295
Factor -5*r**3/3 - 43285*r**2 + 173160*r - 519500/3.
-5*(r - 2)**2*(r + 25975)/3
Determine f, given that 55*f**3 + 4165*f**2 + 14700*f - 4320 = 0.
-72, -4, 3/11
Factor -4*p**3 + 81164*p**2 - 411521696*p - 2059638080.
-4*(p - 10148)**2*(p + 5)
Factor -2*m**2/3 + 318518*m/9 + 849424/9.
-2*(m - 53089)*(3*m + 8)/9
Find x such that 37*x**3/11 + 690*x**2/11 + 2961*x/11 + 3172/11 = 0.
-13, -4, -61/37
Let -t**3/2 - 5186*t**2 + 9*t/2 + 46674 = 0. What is t?
-10372, -3, 3
Factor -n**2 - 5695*n + 39914.
-(n - 7)*(n + 5702)
Suppose -3*u**3/4 + 3939*u**2/4 - 1191069*u/4 - 68172867/4 = 0. What is u?
-49, 681
Factor -x**2 + 12818*x - 41075281.
-(x - 6409)**2
Determine x so that -x**2/2 + 19027*x/2 + 19029 = 0.
-2, 19029
Suppose -3*o**4 - 126*o**3 - 1491*o**2 - 4680*o = 0. Calculate o.
-24, -13, -5, 0
Find i such that -i**5/3 + 4064*i**4/3 - 4116817*i**3/3 - 24798518*i**2/3 - 49662140*i/3 - 33129800/3 = 0.
-2, 2035
Factor -365403*m**2/4 - 13611*m - 507.
-3*(349*m + 26)**2/4
Solve 2*t**2 - 47278*t + 94548 = 0.
2, 23637
Suppose 4*x**5 + 496*x**4 - 1036*x**3 - 3496*x**2 + 4080*x + 6048 = 0. What is x?
-126, -2, -1, 2, 3
Let -c**3 - 137*c**2 - 1544*c + 8432 = 0. What is c?
-124, -17, 4
Determine r, given that r**3/2 + 87*r**2 + 7425*r/2 - 3800 = 0.
-95, -80, 1
Factor -5*k**5 + 280*k**4 - 5390*k**3 + 41160*k**2 - 108045*k.
-5*k*(k - 21)**2*(k - 7)**2
Suppose -3*w**5 - 720*w**4 + 3648*w**3 - 6594*w**2 + 5139*w - 1470 = 0. Calculate w.
-245, 1, 2
Let 2*o**3/3 - 404*o**2/3 + 12022*o/3 - 11620/3 = 0. Calculate o.
1, 35, 166
Factor -v**3 + 708*v**2 - 166725*v + 13061250.
-(v - 258)*(v - 225)**2
Factor 3410*q**3/9 + 11368*q**2/3 + 28430*q/3 + 100/9.
2*(q + 5)**2*(1705*q + 2)/9
Find s such that 2*s**3 + 44712*s**2 + 249805920*s - 999939200 = 0.
-11180, 4
Factor -3*x**2 - 105480*x - 927169200.
-3*(x + 17580)**2
Factor -x**2/5 + 9713*x/5 - 19422/5.
-(x - 9711)*(x - 2)/5
Factor -3*m**3 - 6534*m**2 - 3557763*m.
-3*m*(m + 1089)**2
Factor -y**4/8 - 1035*y**3/4 + 10218*y**2 - 533533*y/4 + 4633473/8.
-(y - 13)**3*(y + 2109)/8
What is s in -2*s**5/15 + 2104*s**4/15 - 567884*s**3/15 + 2547944*s**2/5 - 8799126*s/5 = 0?
0, 7, 519
Factor 5*z**2 + 814*z + 809.
(z + 1)*(5*z + 809)
Let l**5/2 - 5*l**4 + l**3/2 + 58*l**2 + 26*l - 80 = 0. Calculate l.
-2, 1, 5, 8
Suppose 20*s**3 - 28396*s**2 - 62560*s - 11376 = 0. Calculate s.
-2, -1/5, 1422
Factor -p**3/5 - 911*p**2/5 - 40851*p + 1474767/5.
-(p - 7)*(p + 459)**2/5
Factor -d**5 + 18*d**4 - 28*d**3 - 72*d**2 + 128*d.
-d*(d - 16)*(d - 2)**2*(d + 2)
Suppose -d**3 - 438*d**2 - 872*d = 0. Calculate d.
-436, -2, 0
Factor 4*n**2 + 625248*n + 24433441344.
4*(n + 78156)**2
Suppose 4*u**4 + 2824*u**3 - 75968*u**2 + 117888*u + 562176 = 0. Calculate u.
-732, -2, 4, 24
What is p in -2*p**5 - 230*p**4 - 2798*p**3 + 3030*p**2 = 0?
-101, -15, 0, 1
Determine i, given that -2*i**4 - 132*i**3 + 1040*i**2 + 45924*i + 188370 = 0.
-69, -13, -5, 21
Solve -w**5 + 3282*w**4 - 2669809*w**3 - 37861152*w**2 - 133079296*w = 0.
-7, 0, 1648
What is t in -6*t**5/5 - 6984*t**4/5 + 1404*t**3 + 34968*t**2/5 + 4194*t = 0?
-1165, -1, 0, 3
Factor -2*s**2/7 + 2158*s/7 + 8664/7.
-2*(s - 1083)*(s + 4)/7
Factor 5*k**2 + 92460*k - 462425.
5*(k - 5)*(k + 18497)
Factor 2*o**2 - 195000*o - 390008.
2*(o - 97502)*(o + 2)
Factor v**4/11 + 71349*v**3/11 + 1696821912*v**2/11 + 13449010046400*v/11 - 40362303462912/11.
(v - 3)*(v + 23784)**3/11
Factor -q**3/5 - 2*q**2/5 + 217*q + 1470.
-(q - 35)*(q + 7)*(q + 30)/5
Solve 2*g**2 - 49530*g = 0 for g.
0, 24765
Factor -4*o**3 - 328*o**2 + 2832*o - 4320.
-4*(o - 6)*(o - 2)*(o + 90)
Factor 2*l**4/5 - 13536*l**3/5 + 23185404*l**2/5 - 955952928*l/5 + 9975216258/5.
2*(l - 3363)**2*(l - 21)**2/5
Determine p, given that 5*p**5 + 4100*p**4 + 1117905*p**3 + 100589510*p**2 - 209086660*p - 308562360 = 0.
-274, -1, 3
Suppose 98*i**4/3 + 43428*i**3 - 991094*i**2/3 + 428440*i + 802200 = 0. Calculate i.
-1337, -1, 30/7
Determine k, given that 48*k**4 - 24120*k**3 + 3194211*k**2 - 41239170*k + 140315763 = 0.
7, 977/4
Let 5*i**2 - 41060*i - 123225 = 0. What is i?
-3, 8215
Factor -q**4/5 - 108*q**3/5 - 2301*q**2/5 + 6962*q.
-q*(q - 10)*(q + 59)**2/5
Factor 3*z**3 + 909*z**2 - 68988*z + 68076.
3*(z - 62)*(z - 1)*(z + 366)
Let c**4/2 + 343*c**3/2 + 28031*c**2/2 - 264775*c/2 - 2205000 = 0. What is c?
-175, -9, 16
Find i, given that 14*i**2/3 - 6086*i/3 - 8780 = 0.
-30/7, 439
Determine d, given that d**5 + 76*d**4/7 - 1643*d**3/7 + 1684*d**2/7 + 1636*d/7 - 1760/7 = 0.
-22, -1, 1, 8/7, 10
Solve r**4/2 - 11832*r**3 + 69986279*r**2 + 140008056*r + 140019889/2 = 0 for r.
-1, 11833
Determine x, given that 2*x**4 - 38*x**3 = 0.
0, 19
Find p such that 162*p**2/13 + 3454740*p/13 + 18418562450/13 = 0.
-95965/9
Let -3*m**5 + 297*m**4 - 546*m**3 - 3516*m**2 + 2232*m + 9312 = 0. Calculate m.
-2, 2, 4, 97
Factor q**3/2 - 6*q**2 - 433*q/2 - 210.
(q - 28)*(q + 1)*(q + 15)/2
Suppose 60*f**4 + 64989*f**3 + 139461*f**2 + 12960*f - 12972 = 0. Calculate f.
-1081, -2, -2/5, 1/4
Factor -2*i**2/11 - 427242*i/11 + 427244/11.
-2*(i - 1)*(i + 213622)/11
Suppose 141*h**3/7 - 49905*h**2/7 + 291222*h/7 + 18792/7 = 0. What is h?
-3/47, 6, 348
What is s in -81*s**3 - 129636*s**2 - 57604*s - 6400 = 0?
-1600, -2/9
Factor r**2/6 - 93250*r/3 - 62167/2.
(r - 186501)*(r + 1)/6
Determine b so that b**3/2 - b**2/2 - 3*b = 0.
-2, 0, 3
Suppose 35*a**2 + 1956825*a + 559090 = 0. What is a?
-55909, -2/7
Determine s, given that -2*s**5/7 + 116*s**3/7 + 16*s**2 - 114*s/7 - 16 = 0.
-7, -1, 1, 8
Solve -4*x**5 - 4*x**4 + 220*x**3 - 620*x**2 + 24*x + 864 = 0 for x.
-9, -1, 2, 3, 4
Let -75*u**5 + 470*u**4 - 925*u**3 + 550*u**2 + 100*u - 120 = 0. Calculate u.
-2/5, 2/3, 1, 2, 3
Solve 40095*m**5 + 962037*m**4 + 3074544*m**3 + 1769048*m**2 + 372496*m + 26832 = 0 for m.
-1118/55, -3, -2/9
Factor -3*m**5 + 1176*m**4 - 112860*m**3 - 470448*m**2.
-3*m**2*(m - 198)**2*(m + 4)
Let -4*j**2/5 - 979892*j/5 = 0. What is j?
-244973, 0
Determine l so that -2*l**3/5 - 134*l**2/5 + 1388*l/5 + 304 = 0.
-76, -1, 10
Factor -g**3/2 + 6658*g**2 + 66599*g/2 + 39963.
-(g - 13321)*(g + 2)*(g + 3)/2
Find n such that -3*n**5/4 - 117*n**4/4 - 1437*n**3/4 - 4407*n**2/4 + 3402*n - 1911 = 0.
-14, -13, 1
Factor -274*x**3 - 174*x**2 + 100*x.
-2*x*(x + 1)*(137*x - 50)
Factor 3*n**3 + 2137395*n**2 + 380705850864*n + 380703713472.
3*(n + 1)*(n + 356232)**2
Factor s**4/5 - 648*s**3/5 + 57112*s**2/5 + 15507936*s/5 + 572740624/5.
(s - 386)**2*(s + 62)**2/5
Let -5*f**2 + 74980*f + 74985 = 0. What is f?
-1, 14997
Suppose -3*y**2/8 - 96021*y/8 - 72009/2 = 0. What is y?
-32004, -3
Solve -z**3/4 + 62*z**2 + 753*z/4 = 0.
-3, 0, 251
Suppose 276291*b**3 + 95337*b**2 + 1440*b - 1356 = 0. What is b?
-2/9, 113/1137
Factor w**3/10 + 659*w**2/2 + 8228*w/5 + 1974.
(w + 2)*(w + 3)*(w + 3290)/10
What is u in -2*u**2/3 - 404*u/3 - 20402/3 = 0?
-101
Factor -l**2/2 - 1569*l - 90161/2.
-(l + 29)*(l + 3109)/2
Factor -2*o**2/15 + 263904*o/5 - 158342/3.
-2*(o - 395855)*(o - 1)/15
Let 2*w**3/15 + 2*w**2/5 - 6*w + 54/5 = 0. Calculate w.
-9, 3
Solve -5*o**2 - 274130*o - 3757362845 = 0.
-27413
Determine z, given that 2*z**2/3 - 246*z - 333060 = 0.
-546, 915
Solve -5*b**3 - 88820*b**2 = 0.
-17764, 0
Determine h so that -h**5 - 815*h**4 - 157207*h**3 + 3636619*h**2 - 6798352*h + 3319756 = 0.
-418, 1, 19
Solve -15*t**5 - 9*t**4 + 3156*t**3 - 1260*t**2 = 0.
-15, 0, 2/5, 14
Factor -s**3 + 207*s**2 + 840*s - 1430800.
-(s - 140)**2*(s + 73)
Find p such that -35*p**4/4 - 447*p**3/4 - 229*p**2/4 + 1107*p/4 - 99 = 0.
-12, -11/5, 3/7, 1
Factor 7*l**5/4 - 391*l**4/2 - 56*l**3.
l**3*(l - 112)*(7*l + 2)/4
Let t**2 - 1463*t - 8814 = 0. Calculate t.
-6, 1469
Let -3*t**3 - 5766*t**2 + 34689*t - 28920 = 0. What is t?
-1928, 1, 5
Factor -2*y**3 + 142*y**2 - 1132*y + 992.
-2*(y - 62)*(y - 8)*(y - 1)
Factor 5*i**3 - 20535*i**2 - 102830*i + 123360.
5*(i - 4112)*(i - 1)*(i + 6)
Factor -2*c**4 - 522*c**3 + 2112*c**2 - 2120*c.
-2*c*(c - 2)**2*(c + 265)
Solve -2*r**3 - 33434*r**2 + 100328*r + 133760 = 0.
-16720, -1, 4
Find o such that -o**2/2 + 3423*o - 11716929/2 = 0.
3423
Suppose 2*u**5/13 + 20*u**4/13 - 1034*u**3/13 + 1972*u**2/13 = 0. What is u?
-29, 0, 2, 17
Suppose -3*i**2/2 - 498*i - 19593/2 = 0. Calculate i.
-311, -21
Factor -o**2 + 46*o + 7571.
-(o - 113)*(o + 67)
Find j su