4*r**4 + 6632*r**3 + 2748960*r**2 - 6632*r - 2748964 = 0.
-829, -1, 1
Factor 2*h**3/11 + 188*h**2 + 393528*h/11 + 20949552/11.
2*(h + 114)**2*(h + 806)/11
Determine j so that -42*j**4 + 2390*j**3 - 12998*j**2/3 - 11074*j/3 - 660 = 0.
-1/3, 18/7, 55
Let -4*m**5/13 + 2*m**4 + 290*m**3/13 + 590*m**2/13 + 434*m/13 + 8 = 0. Calculate m.
-4, -1, -1/2, 13
Factor 1534580*b**5 + 6154940*b**4 + 6204845*b**3 + 66660*b**2 + 180*b.
5*b*(b + 2)**2*(554*b + 3)**2
Suppose 80645*m**5 - 13708380*m**4 + 13413110*m**3 + 213780*m**2 + 845*m = 0. Calculate m.
-1/127, 0, 1, 169
Solve k**3/2 + 1425*k**2 + 2847*k/2 - 2849 = 0 for k.
-2849, -2, 1
Factor b**2 - 1116*b/5 - 21449/5.
(b - 241)*(5*b + 89)/5
Factor -3*m**2/7 + 6342*m + 44397/7.
-3*(m - 14799)*(m + 1)/7
Solve u**3/2 - 1192*u**2 + 1394277*u/2 + 15919299 = 0.
-22, 1203
Determine t, given that 3*t**4 + 153*t**3 + 1509*t**2 - 1665*t = 0.
-37, -15, 0, 1
Factor -5*r**3 - 37205*r**2 - 148760*r - 148740.
-5*(r + 2)**2*(r + 7437)
Determine u so that 2*u**3/3 + 148606*u**2/9 = 0.
-74303/3, 0
Factor -2*z**3 - 1470*z**2 + 2948*z.
-2*z*(z - 2)*(z + 737)
Factor -2*o**2/3 - 13600*o - 69360000.
-2*(o + 10200)**2/3
Suppose -h**2 + 1356*h + 63045 = 0. Calculate h.
-45, 1401
Find h, given that -3*h**2 - 234906*h - 4598402403 = 0.
-39151
Factor -2*p**3 - 196*p**2 + 5566*p.
-2*p*(p - 23)*(p + 121)
Factor a**3/5 - 613*a**2/5 + 78631*a/5 + 974169.
(a - 329)**2*(a + 45)/5
Suppose m**2 - 53*m - 1460 = 0. What is m?
-20, 73
Solve 3*x**2/7 + 38709*x/7 = 0.
-12903, 0
Factor 5*r**2 + 72935*r + 291660.
5*(r + 4)*(r + 14583)
Factor 20*y**3 + 12184*y**2 + 1874964*y + 5875776.
4*(y + 303)**2*(5*y + 16)
Factor -2*l**3/11 + 171188*l**2/11 - 3663166418*l/11.
-2*l*(l - 42797)**2/11
Factor -5*a**3/3 - 56170*a**2/3 + 18725*a.
-5*a*(a - 1)*(a + 11235)/3
Factor -2*n**2 + 7200*n + 424328.
-2*(n - 3658)*(n + 58)
Determine q so that -5*q**4 + 22*q**3 + 20884*q**2/5 - 8366*q/5 + 837/5 = 0.
-27, 1/5, 31
Suppose 4*l**3 - 674104*l**2 + 2696368*l - 2696352 = 0. What is l?
2, 168522
Let -5*c**3 + 10*c**2 + 440*c - 1600 = 0. Calculate c.
-10, 4, 8
Suppose -4*y**5 - 1162*y**4/5 - 2356*y**3/5 - 224*y**2/5 = 0. What is y?
-56, -2, -1/10, 0
Factor -m**4 + 112727*m**3 - 3176900495*m**2 + 3176787769*m.
-m*(m - 56363)**2*(m - 1)
Solve -8*o**4 - 4046*o**3 - 122380*o**2 - 939904*o + 242688 = 0.
-474, -16, 1/4
Factor -2*k**3 - 114*k**2 + 5868*k - 52624.
-2*(k - 22)*(k - 13)*(k + 92)
Factor -2*q**3/11 + 6618*q**2/11 - 6616*q/11.
-2*q*(q - 3308)*(q - 1)/11
Find j, given that j**5/5 - 56*j**4/5 + 18*j**3/5 + 26048*j**2/5 - 26011*j/5 = 0.
-19, 0, 1, 37
Let 2*l**3 + 61232*l**2 + 183682*l + 122452 = 0. What is l?
-30613, -2, -1
Find m, given that 2*m**3 - 67562*m**2 - 540592*m - 1081248 = 0.
-4, 33789
Suppose 2*a**3/13 + 46524*a**2/13 + 270513792*a/13 - 541213696/13 = 0. Calculate a.
-11632, 2
Determine w so that -2*w**2/3 - 1142*w/3 + 1148 = 0.
-574, 3
Solve -5*v**5/3 + 85*v**4/2 - 1015*v**3/6 + 505*v**2/2 - 955*v/6 + 35 = 0.
1/2, 1, 2, 21
Determine a so that 8*a**5/7 - 522*a**4/7 - 1277*a**3/7 + 4023*a**2/7 + 10845*a/7 + 6075/7 = 0.
-3, -5/4, -1, 3, 135/2
Suppose -3*q**4 + 561*q**3 - 5196*q**2 - 2252160*q - 2246400 = 0. Calculate q.
-52, -1, 120
Determine m so that 2*m**5 + 1580*m**4 + 312036*m**3 - 11048*m**2 - 2174870*m + 1872300 = 0.
-395, -3, 1, 2
Determine v so that -v**3/5 - 558*v**2/5 - 111*v + 1114/5 = 0.
-557, -2, 1
Suppose i**2/9 - 118*i/3 + 117 = 0. What is i?
3, 351
Suppose -4*b**5 - 2492*b**4 - 2428*b**3 + 37228*b**2 - 57184*b + 24880 = 0. What is b?
-622, -5, 1, 2
Determine g, given that g**3 + 22236*g**2 + 355584*g + 1422080 = 0.
-22220, -8
Factor -4*a**2/3 + 552*a + 11788/3.
-4*(a - 421)*(a + 7)/3
Let 2*u**3/5 - 51916*u**2/5 + 10382*u + 103828/5 = 0. Calculate u.
-1, 2, 25957
Factor 3*n**2 + 12468*n + 124380.
3*(n + 10)*(n + 4146)
Factor 2*f**3 - 36966*f**2 - 73940*f.
2*f*(f - 18485)*(f + 2)
Factor -3*v**3 - 138678*v**2 - 1602909627*v - 6409419852.
-3*(v + 4)*(v + 23111)**2
Solve 4*t**3/7 - 10548*t**2/7 - 255456*t/7 = 0 for t.
-24, 0, 2661
Let -7*g**5/5 - 243*g**4/5 + 7056*g**3/5 + 44440*g**2 - 792336*g/5 + 41616 = 0. Calculate g.
-34, 2/7, 3, 30
Factor -y**3/2 - 79*y**2/4 + 52*y - 21.
-(y - 2)*(y + 42)*(2*y - 1)/4
Factor -4*y**2 - 736*y - 33856.
-4*(y + 92)**2
Factor 118*j**2/15 + 80*j + 40/3.
2*(j + 10)*(59*j + 10)/15
Factor x**2/3 + 797*x/3 + 11984.
(x + 48)*(x + 749)/3
Let -3*s**3/7 - 732*s**2/7 - 5940*s + 54432 = 0. Calculate s.
-126, 8
Let -4*p**3 - 2784*p**2 - 11088*p - 11072 = 0. Calculate p.
-692, -2
Suppose 3*s**5 - 2346*s**4 + 2340*s**3 + 2346*s**2 - 2343*s = 0. What is s?
-1, 0, 1, 781
Let -g**4/6 - 1085*g**3/6 - 94229*g**2/2 + 6306965*g/6 - 15902068/3 = 0. What is g?
-553, 8, 13
Solve -2*u**2/5 + 1470*u + 7352/5 = 0.
-1, 3676
Solve -k**4 + 8*k**3 + 59*k**2 + 78*k = 0 for k.
-3, -2, 0, 13
Find w such that -w**4 - 129*w**3 - 369*w**2 + 1161*w + 3402 = 0.
-126, -3, 3
Factor -5*u**2 - 40400*u.
-5*u*(u + 8080)
Let -5*f**3 + 230*f**2 + 8400*f = 0. Calculate f.
-24, 0, 70
Find h such that -2*h**5 - 619570*h**4 - 47984302454*h**3 - 143947331278*h**2 + 2478256*h + 191929775048 = 0.
-154891, -2, 1
Factor 3864200*j**2/3 - 5560*j/3 + 2/3.
2*(1390*j - 1)**2/3
Factor 5*i**2 + 1523900*i + 116113560500.
5*(i + 152390)**2
Factor 3*s**4/8 + 12849*s**3/4 - 154269*s**2/8 + 57861*s/2.
3*s*(s - 3)**2*(s + 8572)/8
Factor -q**2 + 251*q - 11844.
-(q - 188)*(q - 63)
Factor -s**4 - 180*s**3 - 3654*s**2 - 6772*s - 3297.
-(s + 1)**2*(s + 21)*(s + 157)
Solve 4*i**2/5 + 88*i/5 = 0 for i.
-22, 0
Find d, given that -3*d**2 + 11139*d - 689850 = 0.
63, 3650
Solve 2*t**2/17 + 5608*t/17 + 5574 = 0 for t.
-2787, -17
Factor -c**2/3 - 15832*c - 187989168.
-(c + 23748)**2/3
Factor 5*m**2 - 730*m + 14640.
5*(m - 122)*(m - 24)
Factor -v**4/6 + 63*v**3/2 - 4318*v**2/3 - 4736*v + 6144.
-(v - 96)**2*(v - 1)*(v + 4)/6
Factor 5*n**2/2 - 131109*n/4 - 13111/4.
(n - 13111)*(10*n + 1)/4
Suppose -2*w**4 + 1408*w**3 + 83552*w**2 + 1191680*w = 0. What is w?
-28, 0, 760
Solve -z**3 - 35089*z**2 - 307827024*z - 307791936 = 0 for z.
-17544, -1
Find t, given that -t**5/4 + 39*t**4 + 1123*t**3 + 21381*t**2/2 + 165861*t/4 + 110565/2 = 0.
-9, -5, -3, 182
Let l**3 + 103208*l**2 = 0. What is l?
-103208, 0
Determine w, given that 5*w**4/6 - 1217*w**3/6 + 2633*w**2/3 - 956*w/3 = 0.
0, 2/5, 4, 239
What is v in 90*v**5/7 + 393*v**4/7 - 5409*v**3/7 - 13731*v**2/7 + 10431*v/7 - 162 = 0?
-9, -3, 2/15, 1/2, 7
Factor 2*z**2/3 + 833912*z/3 + 86926152968/3.
2*(z + 208478)**2/3
Determine m, given that 18*m**3/11 + 4238*m**2/11 - 6626*m/11 + 2370/11 = 0.
-237, 5/9, 1
Find j such that -2*j**2/9 + 26720*j/9 - 89244800/9 = 0.
6680
Factor 4*b**4 + 1216*b**3 - 548168*b**2 - 97368768*b + 25646741316.
4*(b - 217)**2*(b + 369)**2
Suppose -l**2/4 - 5673*l/4 - 129735 = 0. What is l?
-5580, -93
Find j, given that 38*j**3 + 21778*j**2 + 67272*j + 6840 = 0.
-570, -3, -2/19
What is m in -m**4 - 75*m**3 - 501*m**2 + 2639*m + 19698 = 0?
-67, -7, 6
Factor -f**2/3 - 1391*f/3 - 157108/3.
-(f + 124)*(f + 1267)/3
Suppose f**2 - 1876*f - 3756 = 0. Calculate f.
-2, 1878
Suppose -4*m**2/5 - 11856*m/5 + 123012 = 0. What is m?
-3015, 51
What is u in -4*u**3 - 452*u**2 + 1956*u + 9828 = 0?
-117, -3, 7
Let 2888*b**5/15 + 18544*b**4/15 + 5806*b**3/5 - 15026*b**2/15 + 484*b/3 = 0. Calculate b.
-5, -2, 0, 11/38
Solve -3*y**3 - 10149*y**2 - 20289*y - 10143 = 0 for y.
-3381, -1
Factor -p**2/7 - 5752*p/7 + 63393/7.
-(p - 11)*(p + 5763)/7
Determine q, given that -3*q**5/7 - 60*q**4/7 - 96*q**3/7 + 222*q**2/7 + 99*q/7 - 162/7 = 0.
-18, -3, -1, 1
Factor -28918*k**3/5 + 2*k**2/5.
-2*k**2*(14459*k - 1)/5
Let m**3 + 71*m**2 + 536*m - 1364 = 0. Calculate m.
-62, -11, 2
Determine m, given that -m**5/3 + 308*m**4/3 - 8404*m**3 + 231278*m**2/3 - 697171*m/3 + 222010 = 0.
2, 3, 5, 149
Factor -2*m**2/11 - 170*m/11 - 2208/11.
-2*(m + 16)*(m + 69)/11
Factor 3*z**2/7 + 274056*z/7 + 274053/7.
3*(z + 1)*(z + 91351)/7
Solve -z**5/5 + 2297*z**4/5 - 1322494*z**3/5 + 790742*z**2 - 3949121*z/5 + 1315609/5 = 0 for z.
1, 1147
Factor 3*o**3/4 + 1905*o**2/2 + 301464*o - 606744.
3*(o - 2)*(o + 636)**2/4
Factor i**2/4 + 8675*i/2 - 8676.
(i - 2)*(i + 17352)/4
Factor -2*k**2/9 - 6470720*k/9 - 5233777164800/9.
-2*(k + 1617680)**2/9
Factor 3*x**2/5 - 114432*x/5.
3*x*(x - 38144)/5
