12*i**4/9 - 3430*i**3/9 - 1232*i**2/9 + 11096*i/9 - 6848/9 = 0.
-214, -2, 1, 8
Suppose 39*g**5 + 291*g**4 - 3930*g**3 + 7488*g**2 + 4320*g = 0. What is g?
-15, -6/13, 0, 4
Factor g**4 + 3573*g**3 + 3572*g**2.
g**2*(g + 1)*(g + 3572)
Factor -d**4/5 - 13793*d**3 - 317055090*d**2 - 2428641759500*d + 12151136899000.
-(d - 5)*(d + 22990)**3/5
What is r in 2*r**5/3 - 212*r**4/3 - 1336*r**3/3 - 908*r**2/3 + 1334*r/3 + 1120/3 = 0?
-5, -1, 1, 112
Let -2*w**3/7 + 226*w**2/7 - 4344*w/7 + 18360/7 = 0. What is w?
6, 17, 90
Find h, given that -2*h**2 + 966*h - 12220 = 0.
13, 470
Factor 2*p**5 - 588*p**4 + 4612*p**3 - 10328*p**2 + 9162*p - 2860.
2*(p - 286)*(p - 5)*(p - 1)**3
Find d, given that -4*d**5 + 68*d**4 + 1384*d**3 + 5152*d**2 + 3840*d = 0.
-8, -4, -1, 0, 30
What is u in -2*u**5/11 + 248*u**4/11 + 4362*u**3/11 - 26848*u**2/11 + 22240*u/11 = 0?
-20, 0, 1, 4, 139
Determine l, given that -5*l**4 - 2795*l**3 + 15*l**2 + 8395*l + 5590 = 0.
-559, -1, 2
Factor -d**2/3 + 2489*d/2 - 3733/6.
-(d - 3733)*(2*d - 1)/6
Find b such that b**5/5 - 42*b**4/5 + 17*b**3/5 + 948*b**2/5 + 1476*b/5 = 0.
-3, -2, 0, 6, 41
Factor -2*m**3 - 558*m**2 - 37992*m + 38552.
-2*(m - 1)*(m + 122)*(m + 158)
Determine o, given that -10*o**4/19 - 1916*o**3/19 - 47826*o**2/19 + 20592*o/19 + 29160/19 = 0.
-162, -30, -3/5, 1
Factor 242*s**2/7 - 172436*s/7 + 30717122/7.
2*(11*s - 3919)**2/7
Factor -j**2/2 - 8005*j/2 + 315237.
-(j - 78)*(j + 8083)/2
Find n, given that n**2 + 757320*n = 0.
-757320, 0
Suppose -3*w**3/2 - 1607*w**2/2 + 1886*w + 1614 = 0. What is w?
-538, -2/3, 3
Solve 3*m**2/5 + 11664*m/5 + 11337408/5 = 0 for m.
-1944
Find i, given that i**2 + 4779*i + 14328 = 0.
-4776, -3
Factor 2*q**2/7 + 1014*q - 28424/7.
2*(q - 4)*(q + 3553)/7
What is t in 4*t**4/5 + 1456*t**3/5 + 24064*t**2 - 443840*t + 1732800 = 0?
-190, 6, 10
Let -4*p**3 - 2276*p**2 - 324896*p - 322624 = 0. Calculate p.
-284, -1
Determine d so that 20*d**5 + 18560*d**4 - 55795*d**3 + 60485*d**2 - 27925*d + 4655 = 0.
-931, 1/2, 1
Factor x**3/4 - 17*x**2/4 + 9*x + 72.
(x - 12)*(x - 8)*(x + 3)/4
Let h**2/3 + 3107*h + 9320/3 = 0. Calculate h.
-9320, -1
Factor -128*g**3/9 + 4576*g**2/9 - 40898*g/9.
-2*g*(8*g - 143)**2/9
Factor -3*m**4 - 15*m**3 + 54*m**2 + 60*m - 168.
-3*(m - 2)**2*(m + 2)*(m + 7)
Solve 5*d**5/3 - 4355*d**4/3 + 946120*d**3/3 + 950480*d**2/3 = 0 for d.
-1, 0, 436
Determine a, given that a**5 - 10*a**4 - 103*a**3 + 388*a**2 + 480*a = 0.
-8, -1, 0, 4, 15
Let 5*g**3 + 64230*g**2 + 2691045*g + 28232820 = 0. Calculate g.
-12804, -21
Let 3*r**2 + 17007*r + 322050 = 0. Calculate r.
-5650, -19
Determine g so that -g**4/3 - 52*g**3/3 + 163*g**2/3 + 2914*g/3 - 1008 = 0.
-54, -7, 1, 8
Factor 5*f**2 + 92215*f - 92220.
5*(f - 1)*(f + 18444)
Factor -3*n**3 - 66*n**2 + 2649*n - 11220.
-3*(n - 17)*(n - 5)*(n + 44)
Factor 4*q**2 + 75616*q + 151216.
4*(q + 2)*(q + 18902)
What is r in 2*r**4 - 6024*r**3 + 191232*r**2 - 1525760*r = 0?
0, 16, 2980
Determine f, given that 4*f**5/5 + 36*f**4 - 1348*f**3/5 - 36276*f**2/5 + 7488*f = 0.
-48, -13, 0, 1, 15
What is z in 3*z**5/5 - 439824*z**4/5 + 16122188448*z**3/5 - 25791279360*z**2 + 51579744000*z = 0?
0, 4, 73300
Factor -4*g**3 + 420*g**2 + 197416*g - 396480.
-4*(g - 280)*(g - 2)*(g + 177)
What is d in 15*d**5 - 535*d**4 - 20550*d**3 - 6250*d**2 + 20535*d + 6785 = 0?
-23, -1, -1/3, 1, 59
Factor -r**4/2 + 289*r**3/2 + 440*r**2 - 584*r.
-r*(r - 292)*(r - 1)*(r + 4)/2
Factor q**2/2 - 56193*q.
q*(q - 112386)/2
Let 3*o**4/8 - 31905*o**3/8 + 42437631*o**2/4 - 31800312*o + 21194892 = 0. What is o?
1, 2, 5316
Solve -3*o**2 - 1134*o + 1137 = 0 for o.
-379, 1
Let -2*p**2/5 + 16*p/5 + 2016/5 = 0. Calculate p.
-28, 36
Factor 5*u**3 - 5085*u**2 + 40440*u - 80720.
5*(u - 1009)*(u - 4)**2
Solve k**2 + 3012*k = 0.
-3012, 0
Factor -t**2/4 + 14067*t - 393827/4.
-(t - 56261)*(t - 7)/4
Solve 2*b**5 - 626*b**4 + 53796*b**3 - 722240*b**2 - 1664704*b = 0.
-2, 0, 19, 148
Determine m, given that -2*m**3 + 36*m**2 + 98*m - 1764 = 0.
-7, 7, 18
Determine p, given that -29282*p**2/7 - 904112*p/7 - 6978848/7 = 0.
-1868/121
Factor 3*a**5/5 - 18393*a**4 + 367812*a**3/5.
3*a**3*(a - 30651)*(a - 4)/5
Factor 2*h**2/7 - 5618*h/7 - 4020.
2*(h - 2814)*(h + 5)/7
Factor 134832*x**3 + 1217304*x**2 + 34371*x + 243.
3*(x + 9)*(212*x + 3)**2
What is q in -3*q**2 + 666576*q - 37026963648 = 0?
111096
Factor -y**4 - 11*y**3 - 2*y**2 + 92*y + 120.
-(y - 3)*(y + 2)**2*(y + 10)
Find c, given that c**2 + 2230*c + 4456 = 0.
-2228, -2
Factor -q**3 - 20195*q**2 - 101969603*q - 101949409.
-(q + 1)*(q + 10097)**2
Factor 5*j**4 - 5930*j**3 + 23660*j**2 - 23640*j.
5*j*(j - 1182)*(j - 2)**2
Factor -4*j**3/3 + 101410*j**2/9 - 214292000*j/9 + 178506250/9.
-2*(j - 4225)**2*(6*j - 5)/9
Find n such that 3*n**5 - 15*n**4 - 339*n**3 + 135*n**2 + 2808*n = 0.
-8, -3, 0, 3, 13
Determine s, given that -2*s**4/21 - 122*s**3/7 - 7370*s**2/7 - 62846*s/3 = 0.
-67, -49, 0
Suppose 64*j**3 + 21024*j**2 - 10524*j + 1316 = 0. Calculate j.
-329, 1/4
Determine w so that -8*w**3 + 8874*w**2/13 - 2890*w/13 = 0.
0, 17/52, 85
Factor -u**4/2 - 53*u**3/2 + 31*u**2 + 210*u - 324.
-(u - 2)**2*(u + 3)*(u + 54)/2
Factor -5*t**2/3 - 16405*t/3 + 32830/3.
-5*(t - 2)*(t + 3283)/3
Solve 281*z**3 + 983*z**2 + 982*z + 280 = 0.
-2, -1, -140/281
Let -3*g**3/8 - 387*g**2/4 - 14337*g/2 - 114873 = 0. What is g?
-118, -22
Solve -8*d**4/11 + 7690*d**3/11 + 5774*d**2/11 - 1924*d/11 = 0 for d.
-1, 0, 1/4, 962
Find s such that 3*s**2/5 - 64308*s/5 + 344626572/5 = 0.
10718
Factor -3*h**3 + 1197*h**2 - 2382*h.
-3*h*(h - 397)*(h - 2)
Factor -i**2 + 46923*i.
-i*(i - 46923)
Find p, given that 4*p**2 - 1129596*p = 0.
0, 282399
Let n**2/7 - 3030532*n/7 + 2296031050756/7 = 0. Calculate n.
1515266
Factor 2*s**2 + 8*s - 8704.
2*(s - 64)*(s + 68)
Factor 2*o**2 + 212244*o + 5630939442.
2*(o + 53061)**2
Factor -5*s**3 + 6365*s**2 - 88195*s + 81835.
-5*(s - 1259)*(s - 13)*(s - 1)
Solve 5*b**2 - 41220*b + 164800 = 0 for b.
4, 8240
Factor z**3 - 175134*z**2 + 350264*z.
z*(z - 175132)*(z - 2)
Find b such that 15*b**5/2 + 261*b**4/2 - 3495*b**3/2 + 10539*b**2/2 - 1284*b - 8424 = 0.
-27, -1, 13/5, 4
Determine v so that -v**5/2 - 516*v**4 - 7167*v**3/2 + 4100*v**2 = 0.
-1025, -8, 0, 1
Factor 9*m**3 - 27258*m**2 - 36356*m - 12120.
(m - 3030)*(3*m + 2)**2
Factor -2*p**2/3 + 2558*p/3 - 5092.
-2*(p - 1273)*(p - 6)/3
Factor 4*z**2 + 53696*z.
4*z*(z + 13424)
Solve -4*h**4 - 8*h**3 + 2208*h**2 + 23112*h + 49572 = 0 for h.
-17, -9, -3, 27
Find i such that -i**4/6 + 73*i**3/3 - 1979*i**2/6 + 917*i/3 = 0.
0, 1, 14, 131
Determine m so that m**3/2 + 159*m**2 - 967*m/2 - 642 = 0.
-321, -1, 4
Solve -54*v**4/5 - 606*v**3 + 69988*v**2/15 - 5312*v/3 - 26880 = 0 for v.
-63, -2, 40/9
Solve 2*j**4 - 1150*j**3 + 170402*j**2 - 1461978*j + 2883204 = 0 for j.
3, 6, 283
Determine h, given that -h**2/3 - 17089*h/3 + 34190 = 0.
-17095, 6
Determine c, given that c**3/5 + 123013*c**2/5 + 756597607*c - 3783111049/5 = 0.
-61507, 1
Find p, given that 8*p**4/11 - 11466*p**3/11 - 31572*p**2/11 - 28714*p/11 - 8616/11 = 0.
-1, -3/4, 1436
Solve 845*d**4/4 - 1141985*d**3/2 + 1539831005*d**2/4 + 1188542850*d + 915304500 = 0.
-20/13, 1353
Factor -227529*b**2 - 636*b - 4/9.
-(1431*b + 2)**2/9
Factor -c**5 - 12831*c**4 + 192690*c**3.
-c**3*(c - 15)*(c + 12846)
Factor 4*n**3 + 17808*n**2 + 531540*n + 3979800.
4*(n + 15)**2*(n + 4422)
Factor 5*u**4 - 23680*u**3 + 28060785*u**2 - 56026890*u.
5*u*(u - 2367)**2*(u - 2)
What is g in g**4/4 + 603*g**3/4 + 1634*g**2 + 3543*g - 5328 = 0?
-592, -6, 1
Suppose -h**5/8 + 19*h**4/8 + 861*h**3/8 + 7029*h**2/8 + 3483*h/2 = 0. Calculate h.
-12, -9, -3, 0, 43
Factor 2*m**3/3 - 14414*m**2/3 - 28834*m/3 - 4806.
2*(m - 7209)*(m + 1)**2/3
What is i in -i**3/3 - 187*i**2 + 2260*i/3 = 0?
-565, 0, 4
What is z in -2*z**2 - 19660*z - 48314450 = 0?
-4915
Factor 3*q**3/4 - 2571*q**2/4 - 648*q + 3861.
3*(q - 858)*(q - 2)*(q + 3)/4
Factor 5*v**3 + 351830*v**2 + 6188865600*v - 12379138560.
5*(v - 2)*(v + 35184)**2
Find j, given that -5*j**2 - 2545*j - 136640 = 0.
-448, -61
Determine b, given that -2*b**5 - 36*b**4 - 102*b**3 + 572*b**2 + 720*b - 1152 = 0.
-12, -8, -2, 1, 3
Let -3*q**3 + 2985*q**2 + 60600*q + 304500 = 0. What is q?
-10, 1015
Suppose -2*y**2/7 + 254*y/7 - 812 = 0. Calculate y.
29, 98
Solve 3*r**3/4 + 1797*r**2/4 