
-7, -1, 0, 1/3, 42
Suppose -4*r**5/5 + 564*r**4/5 + 6196*r**3/5 - 23556*r**2/5 = 0. Calculate r.
-13, 0, 3, 151
Find k, given that 3*k**2 + 576*k - 579 = 0.
-193, 1
Find n, given that -4*n**2 - 737400*n = 0.
-184350, 0
Factor -305*f**3 - 1185*f**2 - 1080*f + 140.
-5*(f + 2)**2*(61*f - 7)
What is q in 5*q**2 - 5250*q + 20920 = 0?
4, 1046
Factor v**3/4 + 127*v**2/4 - 2079*v/2.
v*(v - 27)*(v + 154)/4
Factor 256*m**2/3 - 2080*m + 12675.
(16*m - 195)**2/3
Factor 5*h**3/4 + 3415*h**2/4 + 53275*h/4 - 56695/4.
5*(h - 1)*(h + 17)*(h + 667)/4
Suppose -9*b**5 - 132*b**4 + 503*b**3 - 646*b**2 + 356*b - 72 = 0. What is b?
-18, 2/3, 1
Factor 4*m**3 - 776*m**2 - 31008*m.
4*m*(m - 228)*(m + 34)
Let -2*z**3/15 - 766*z**2/5 + 23162*z/15 - 6954/5 = 0. What is z?
-1159, 1, 9
Factor -3482*f**4/5 + 6967*f**3/5 - 6*f**2/5.
-f**2*(f - 2)*(3482*f - 3)/5
Find n such that 5*n**4 - 1710*n**3 - 23240*n**2 + 58350*n + 79875 = 0.
-15, -1, 3, 355
Let -3*j**3/7 - 261*j**2 = 0. What is j?
-609, 0
Suppose 3*t**5 - 99999*t**4 - 5405778*t**3 - 97338996*t**2 - 584138952*t = 0. What is t?
-18, 0, 33387
Determine u, given that -u**5/2 + 53*u**4 - 992*u**3 + 3101*u**2 + 1985*u/2 - 3154 = 0.
-1, 1, 4, 19, 83
Solve 8*g**5/3 + 15118*g**4/3 - 6324*g**3 - 117130*g**2/3 + 211768*g/3 - 15128 = 0 for g.
-1891, -3, 1/4, 2
Solve -5*m**2 - 605*m - 6050 = 0 for m.
-110, -11
Factor -16*x**3/11 - 94*x**2/11 + 16*x/11 + 544/11.
-2*(x + 4)**2*(8*x - 17)/11
Suppose -z**4/2 + 182*z**3/3 - 1439*z**2/3 + 3002*z/3 - 565/2 = 0. Calculate z.
1/3, 3, 5, 113
Factor -4*i**3 - 120*i**2 + 108*i + 6496.
-4*(i - 7)*(i + 8)*(i + 29)
Solve -2*b**4 - 2998*b**3 + 6*b**2 + 8998*b + 5996 = 0.
-1499, -1, 2
Factor w**3 + 977*w**2 + 32062*w.
w*(w + 34)*(w + 943)
Solve r**3/4 - 599*r**2/4 - 2444*r - 9840 = 0 for r.
-8, 615
Factor -5*y**3 - 920*y**2 + 935*y + 1850.
-5*(y - 2)*(y + 1)*(y + 185)
Suppose -3*d**2 + 10521*d - 10518 = 0. Calculate d.
1, 3506
Let -2*q**3/7 + 36*q**2/7 - 34*q/7 = 0. Calculate q.
0, 1, 17
Factor -4*p**2 - 1297704*p - 105252229476.
-4*(p + 162213)**2
Factor p**3/4 - 21267*p**2/4 + 5316*p + 10633.
(p - 21266)*(p - 2)*(p + 1)/4
Solve -3*w**3 - 27*w**2 + 219*w + 819 = 0.
-13, -3, 7
Factor f**4 - 109*f**3 + 3948*f**2 - 48640*f + 44800.
(f - 40)**2*(f - 28)*(f - 1)
Solve 2*g**3/13 + 7282*g**2/13 + 415742*g/13 + 408462/13 = 0.
-3583, -57, -1
Factor -3*s**4/8 + 344391*s**3/8 - 1033155*s**2/8 + 1033149*s/8 - 172191/4.
-3*(s - 114794)*(s - 1)**3/8
Find k such that 256*k**5 + 20288*k**4 + 92016*k**3 - 540260*k**2 + 757700*k - 333000 = 0.
-74, -9, 5/4
Determine d, given that -16*d**4/5 + 6*d**3/5 + 336*d**2/5 + 194*d/5 - 24 = 0.
-4, -1, 3/8, 5
Let -26*l**3/7 + 5256*l**2/7 - 11208*l/7 + 1600/7 = 0. What is l?
2/13, 2, 200
Factor 3*m**4 - 2073*m**3 + 473976*m**2 - 35039424*m - 187307520.
3*(m - 232)**3*(m + 5)
Factor -5782*z**3/9 + 122*z**2/3.
-2*z**2*(2891*z - 183)/9
Find x such that 33*x**4 - 47373*x**3/5 - 90204*x**2/5 + 10404*x/5 = 0.
-2, 0, 6/55, 289
Factor 5*v**3 - 32200*v**2 + 257360*v - 514560.
5*(v - 6432)*(v - 4)**2
Factor 2*i**3 + 150*i**2 - 2612*i + 7920.
2*(i - 11)*(i - 4)*(i + 90)
Solve -8*v**3 + 493370*v**2 - 7606501136*v - 5705153376 = 0.
-3/4, 30836
Factor -d**2 + 4870*d - 92169.
-(d - 4851)*(d - 19)
Let -4*s**3 + 5252*s**2 + 5256*s = 0. What is s?
-1, 0, 1314
Solve -5*o**5 - 1570*o**4 + 11180*o**3 - 17690*o**2 - 11175*o + 19260 = 0 for o.
-321, -1, 1, 3, 4
Solve 21*n**3/5 - 5658*n**2 + 9515532*n/5 + 8176968/5 = 0 for n.
-6/7, 674
Factor 3*a**3 + 408*a**2 - 2556*a.
3*a*(a - 6)*(a + 142)
Suppose 2*a**2/7 + 12630*a/7 + 27000 = 0. What is a?
-6300, -15
Factor -u**2/2 + 83775*u + 167551/2.
-(u - 167551)*(u + 1)/2
Find o, given that -o**2 - 1331*o - 2658 = 0.
-1329, -2
Find l such that 12*l**4 - 1570*l**3 - 10210*l**2 + 9850*l + 1918 = 0.
-7, -1/6, 1, 137
Suppose -4*f**3 - 84*f**2 - 552*f - 1120 = 0. What is f?
-10, -7, -4
Factor n**4/4 + 34373*n**3 + 206232*n**2 + 412460*n + 274972.
(n + 2)**3*(n + 137486)/4
Find a such that -10*a**5/9 - 37276*a**4/9 - 35427148*a**3/9 - 425971192*a**2/3 + 204933990*a - 59003100 = 0.
-1845, -39, 2/5, 1
Factor 2*o**2/3 - 63932*o + 1532737734.
2*(o - 47949)**2/3
Let 3*s**4 - 366*s**3 - 324*s**2 + 38232*s + 158112 = 0. Calculate s.
-6, 12, 122
Let 2*t**3 - 360*t**2 + 664*t + 8544 = 0. What is t?
-4, 6, 178
Solve 2*a**4/5 - 64*a**3/5 + 498*a**2/5 - 756*a/5 = 0 for a.
0, 2, 9, 21
Factor -p**2/3 + 36160*p - 980659200.
-(p - 54240)**2/3
What is m in -m**2/2 - 1570*m - 277459/2 = 0?
-3049, -91
Determine t, given that -6112065*t**2/7 - 6112062*t/7 + 3/7 = 0.
-1, 1/2037355
Suppose -889778*b**2/7 - 53360*b/7 - 800/7 = 0. What is b?
-20/667
Suppose 243*h**5 + 17874*h**4 - 144303*h**3 + 179574*h**2 - 59220*h + 5832 = 0. What is h?
-81, 2/9, 1, 6
Factor -r**3/3 + 314*r**2/3 + 949*r/3 + 634/3.
-(r - 317)*(r + 1)*(r + 2)/3
Factor a**3/9 + 17588*a**2/9.
a**2*(a + 17588)/9
Suppose 27*r**3 - 117537*r**2 - 1624608*r + 366828 = 0. Calculate r.
-14, 2/9, 4367
Find r such that -34*r**5 + 11512*r**4/5 - 19168*r**3/5 - 1376*r**2 + 1056*r/5 = 0.
-2/5, 0, 2/17, 2, 66
Determine y, given that -y**2/6 - 5707*y/3 + 3805/2 = 0.
-11415, 1
Suppose -3*c**2 - 4551*c - 9090 = 0. Calculate c.
-1515, -2
Factor -3*r**3/2 - 7143*r**2/2 - 2127720*r - 2124150.
-3*(r + 1)*(r + 1190)**2/2
Factor 5*t**5 + 535*t**4 + 1055*t**3 + 525*t**2.
5*t**2*(t + 1)**2*(t + 105)
Factor -3*m**3/8 - 1881*m**2/4 - 25893*m/2 - 90111.
-3*(m + 14)**2*(m + 1226)/8
Factor -178802*t**2/7 + 531024*t/7 - 394272/7.
-2*(299*t - 444)**2/7
Factor -5*l**4 - 6123*l**3 + 2450*l**2.
-l**2*(l + 1225)*(5*l - 2)
Factor q**3/4 - 17*q**2/4 - 47*q - 75.
(q - 25)*(q + 2)*(q + 6)/4
Factor p**3 - 101*p**2 + 1218*p.
p*(p - 87)*(p - 14)
Let 39*t**4/2 + 21993*t**3 - 50799*t**2/2 + 3387*t = 0. What is t?
-1129, 0, 2/13, 1
Factor -75*g**3 - 2022*g**2 - 12516*g + 15288.
-3*(g + 14)**2*(25*g - 26)
Solve -2*c**3 + 296*c**2 - 2760*c = 0.
0, 10, 138
Factor 3*q**3 + 48936*q**2 + 199512063*q - 399219894.
3*(q - 2)*(q + 8157)**2
Let z**3/5 + 644*z**2/5 - 7217*z/5 - 1572 = 0. What is z?
-655, -1, 12
Determine m so that -4*m**4/7 + 52*m**3/7 + 1468*m**2/7 + 1292*m/7 - 2808/7 = 0.
-13, -2, 1, 27
Factor w**5 - 20*w**4 - 9089*w**3 + 580228*w**2 - 10196912*w + 9625792.
(w - 44)**3*(w - 1)*(w + 113)
Solve 2*y**4/11 - 14628*y**3/11 - 87870*y**2/11 + 219616*y/11 - 117120/11 = 0 for y.
-8, 1, 7320
Factor 3*q**4/7 - 3042*q**3/7 - 6093*q**2/7 - 3048*q/7.
3*q*(q - 1016)*(q + 1)**2/7
Find m, given that -m**2/4 - 49*m - 97 = 0.
-194, -2
Determine y, given that -3*y**2/4 + 57807*y - 1113883083 = 0.
38538
Determine o so that 2*o**3 - 682*o**2 + 2672*o + 8088 = 0.
-2, 6, 337
What is p in p**5/5 + 29*p**4/5 - 1068*p**3 = 0?
-89, 0, 60
Factor -4*k**3/5 + 2728*k**2/5 + 10964*k/5 + 8232/5.
-4*(k - 686)*(k + 1)*(k + 3)/5
Factor -5*a**4 - 75870*a**3 - 286976460*a**2 + 6350256440*a.
-5*a*(a - 22)*(a + 7598)**2
Find w, given that 215*w**4/3 + 7733*w**3/3 + 7273*w**2/3 - 245*w/3 = 0.
-35, -1, 0, 7/215
Solve -288*s**4/5 + 1392*s**3/5 - 1586*s**2/5 - 230*s + 2116/5 = 0 for s.
-1, 23/12, 2
Solve -6*t**3/11 + 1986*t**2/11 + 6036*t/11 - 8016/11 = 0.
-4, 1, 334
Factor -5*z**2 - 110280*z + 110285.
-5*(z - 1)*(z + 22057)
Suppose 3*f**5 - 7350*f**4 + 4509219*f**3 - 8996400*f**2 + 4494528*f = 0. Calculate f.
0, 1, 1224
Determine u so that u**4/3 - 1036*u**3/3 + 90470*u**2 - 1596500*u/3 + 1326125/3 = 0.
1, 5, 515
Find h, given that 2*h**2/7 - 218*h/7 + 5256/7 = 0.
36, 73
Find m such that 9*m**5 + 96*m**4 + 33*m**3 - 270*m**2 + 12*m + 120 = 0.
-10, -2, -2/3, 1
Solve -2*z**2/7 + 6988*z/7 + 6990/7 = 0 for z.
-1, 3495
Factor 3*t**3/7 + 258*t**2/7 + 237*t.
3*t*(t + 7)*(t + 79)/7
What is s in s**5 - 206*s**4 + 199*s**3 + 1230*s**2 = 0?
-2, 0, 3, 205
Factor -2*h**2/5 - 6454*h/5 - 51504/5.
-2*(h + 8)*(h + 3219)/5
Factor c**3/5 - 269*c**2/5 - 553*c - 1395.
(c - 279)*(c + 5)**2/5
Factor 5*l**2 - 619930*l + 19215660245.
5*(l - 61993)**2
Let -t**5/2 - 6336*t**4 + t**3 + 12672*t**2 - t/2 - 6336 = 0. Calculate t.
-12672, -1, 1
Factor n**2/5 + 15747*n/5.
n*(n + 15747)/5
Determine y, given that -y**5/7 + 9526*y**4/7 - 22724244*y**3/7 + 181365502*y**2/7 - 430427755*y/7 + 271776972/7 = 0.
1, 3, 4, 4759
Factor u**2/5 + 105058*u/5 + 2759295841/5.
(u + 52529)**2/5
Find h such that -h**5/4 - 217*h**4/4 - 9067*h**3/4 + 3