, given that 4*j**2 + 492*j - 31960 = 0.
-170, 47
Determine l, given that -56*l**2/5 - 941*l + 935 = 0.
-85, 55/56
Factor 125*t**2 + 341600*t + 233381120.
5*(5*t + 6832)**2
Determine x so that 25*x**5 - 3340*x**4 + 143290*x**3 - 2091100*x**2 + 8606125*x - 6655000 = 0.
1, 5, 88/5, 55
Factor -2*q**3 + 212*q**2 - 3640*q + 17200.
-2*(q - 86)*(q - 10)**2
Find r such that -r**4/4 - 31*r**3/2 - 1101*r**2/4 - 1485*r = 0.
-36, -15, -11, 0
Find o, given that o**2/4 - 32*o - 1092 = 0.
-28, 156
Solve -3*k**4 - 5802*k**3 - 2845344*k**2 - 38522880*k + 88473600 = 0 for k.
-960, -16, 2
Factor q**3/3 - 608*q**2/3 - 611*q.
q*(q - 611)*(q + 3)/3
Factor 5*r**3 + 65*r**2 - 380*r - 2240.
5*(r - 7)*(r + 4)*(r + 16)
Determine b, given that -2*b**3 - 1302*b**2 + 92466*b - 1561626 = 0.
-717, 33
Determine z so that -4*z**4 - 540*z**3 + 69912*z**2 - 273040*z + 270816 = 0.
-217, 2, 78
Factor 3*v**3 - 954*v**2 - 6795*v - 9750.
3*(v - 325)*(v + 2)*(v + 5)
Find d such that -3*d**3/7 + 69*d**2 - 19197*d/7 - 19683/7 = 0.
-1, 81
Let 2*x**5/5 + 2374*x**4/5 + 936102*x**3/5 + 121330346*x**2/5 - 511914032*x/5 - 1501698552/5 = 0. What is x?
-397, -2, 6
Solve -a**3/2 + 107*a**2 + 24871*a/2 - 2797520 = 0 for a.
-160, 187
Factor 4*f**5/5 - 1092*f**4/5 + 12876*f**3 + 285940*f**2.
4*f**2*(f - 145)**2*(f + 17)/5
Factor 2*o**2/5 + 4444*o/5 - 31206/5.
2*(o - 7)*(o + 2229)/5
Determine m, given that m**2/4 + 339835*m/2 + 115487827225/4 = 0.
-339835
Factor -2*r**2/9 - 2290*r/9 + 4588/9.
-2*(r - 2)*(r + 1147)/9
Factor -c**2/2 - 1039*c - 173217/2.
-(c + 87)*(c + 1991)/2
Let -2*u**3 + 908*u**2 + 18760*u + 94800 = 0. Calculate u.
-10, 474
Factor -2*o**2/3 + 456*o + 9870.
-2*(o - 705)*(o + 21)/3
Determine w, given that -2*w**5 - 26*w**4 - 92*w**3 - 44*w**2 + 94*w + 70 = 0.
-7, -5, -1, 1
Suppose -2*i**2 + 4400*i + 13218 = 0. Calculate i.
-3, 2203
Suppose 2*i**5/3 + 160*i**4/3 + 2782*i**3/3 + 18776*i**2/3 + 16712*i + 11328 = 0. What is i?
-59, -8, -6, -1
Factor 3*q**3/2 - 2361*q**2/2 + 59433*q/2 - 57075/2.
3*(q - 761)*(q - 25)*(q - 1)/2
Find k such that 2*k**5/13 - 125318*k**4/13 + 1963388406*k**3/13 - 9814310522*k**2/13 + 7851047432*k/13 = 0.
0, 1, 4, 31327
Suppose b**5 - 22*b**4/5 - 17*b**3 + 194*b**2/5 + 692*b/5 + 88 = 0. What is b?
-2, -1, 22/5, 5
Find q, given that -q**4 - 1117*q**3 - 263274*q**2 + 28066532*q - 55071016 = 0.
-598, 2, 77
Suppose n**2/3 - 10772*n/3 - 53885/3 = 0. What is n?
-5, 10777
Factor -3*k**2 + 3693*k - 14724.
-3*(k - 1227)*(k - 4)
Factor 2*s**4 - 2*s**3 - 20200*s**2.
2*s**2*(s - 101)*(s + 100)
Determine z so that 2*z**2/11 - 7262*z/11 - 102060/11 = 0.
-14, 3645
Solve -2*a**5/3 - 20802*a**4 - 623908*a**3/3 - 1497244*a**2/3 + 207970*a + 1559650/3 = 0 for a.
-31193, -5, -1, 1
Let 3*i**3 + 2760*i**2 + 845031*i + 86089806 = 0. Calculate i.
-319, -282
Solve -4*t**2 + 33516*t - 33512 = 0.
1, 8378
Suppose 2*s**2/7 + 7250*s/7 + 137028/7 = 0. Calculate s.
-3606, -19
Let 4*a**5 - 20*a**4 = 0. Calculate a.
0, 5
What is u in 52*u**4 - 972*u**3 + 3608*u**2 - 2688*u = 0?
0, 1, 48/13, 14
Find f, given that 4*f**3 - 306360*f**2 - 1838268*f - 2757456 = 0.
-3, 76596
Factor -2*f**2 - 2420*f - 24000.
-2*(f + 10)*(f + 1200)
Find w, given that 3*w**4 + 675*w**3 - 145401*w**2 + 5769117*w + 5915190 = 0.
-370, -1, 73
Determine k, given that k**4 - 8735*k**3 + 19061949*k**2 + 57247007*k + 38176322 = 0.
-2, -1, 4369
Determine a so that -3*a**2 - 724107*a - 1448202 = 0.
-241367, -2
Determine h so that 2*h**5/5 + 312*h**4/5 + 5404*h**3/5 - 1231664*h**2/5 - 13514886*h - 197554280 = 0.
-77, -35, 68
Factor 2*x**3/15 - 12*x**2/5 - 1142*x/15 - 1848/5.
2*(x - 36)*(x + 7)*(x + 11)/15
Determine c, given that 12*c**3 + 9896*c**2 - 154688*c - 107520 = 0.
-840, -2/3, 16
Solve x**4 - 31*x**3 + 28*x**2 + 60*x = 0.
-1, 0, 2, 30
Find s such that 87*s**3 - 3123*s**2 + 2721*s + 315 = 0.
-3/29, 1, 35
Factor 2*s**3/15 - 19268*s**2/15.
2*s**2*(s - 9634)/15
Let 234*z**4 + 3219*z**3 - 4035*z**2 + 582*z = 0. Calculate z.
-194/13, 0, 1/6, 1
What is m in 2*m**3 - 20*m**2 - 626*m + 644 = 0?
-14, 1, 23
Let 16*k**4 - 23524*k**3 - 17650*k**2 - 2942*k = 0. Calculate k.
-1/2, -1/4, 0, 1471
Let 3*l**2 + 401676*l + 401673 = 0. Calculate l.
-133891, -1
Find a, given that -239*a**2/3 - 50911*a/3 - 284 = 0.
-213, -4/239
Factor -z**2/4 + 6635*z/2 + 13271/4.
-(z - 13271)*(z + 1)/4
Find q such that -3*q**4 - 2673*q**3 - 15963*q**2 - 29223*q - 15930 = 0.
-885, -3, -2, -1
Factor 3*d**2 + 336969*d - 336972.
3*(d - 1)*(d + 112324)
Find w, given that -2*w**3 - 2294*w**2 + 478578*w - 23058234 = 0.
-1333, 93
Factor 3*o**2 - 2100*o - 63423.
3*(o - 729)*(o + 29)
Find l, given that 8*l**2/11 - 34306*l/11 + 8576/11 = 0.
1/4, 4288
Suppose -5*u**5 + 300*u**4 - 5940*u**3 + 28640*u**2 + 368640*u - 3317760 = 0. Calculate u.
-8, 16, 18
Determine m so that -m**4/3 - 136*m**3/3 - 1621*m**2/3 - 902*m = 0.
-123, -11, -2, 0
Find x, given that 5*x**5 + 190*x**4 + 500*x**3 - 890*x**2 - 505*x + 700 = 0.
-35, -4, -1, 1
Factor 4*j**3 - 10672*j**2 - 32068*j + 42736.
4*(j - 2671)*(j - 1)*(j + 4)
Suppose -z**5/4 - 169*z**4/4 - 1115*z**3/2 - 4675*z**2/2 - 7625*z/4 + 19375/4 = 0. What is z?
-155, -5, 1
Let 2*h**2/19 + 35552*h/19 + 35550/19 = 0. What is h?
-17775, -1
What is d in d**3/12 + 1105*d**2/6 - 11071*d/12 + 2215/3 = 0?
-2215, 1, 4
Factor -5*h**2 - 44000*h - 571155.
-5*(h + 13)*(h + 8787)
Let -14*y**4 - 58*y**3 + 144*y**2 - 72*y = 0. What is y?
-6, 0, 6/7, 1
Solve -2*a**5/15 + 938*a**4/5 + 752*a**3 + 11288*a**2/15 = 0 for a.
-2, 0, 1411
Find j, given that -4*j**3 + 5924*j**2 - 5912*j - 11840 = 0.
-1, 2, 1480
Determine x so that x**2 + 10519*x + 105090 = 0.
-10509, -10
What is u in -3*u**5/8 + 393*u**4 - 13995*u**3/4 - 8178*u**2 - 34287*u/8 = 0?
-1, 0, 11, 1039
Find o, given that -72*o**5 - 98484*o**4 - 180392*o**3 - 109296*o**2 - 21856*o = 0.
-1366, -2/3, -1/2, 0
Solve 3*m**2 + 28173*m - 479808 = 0.
-9408, 17
Factor s**2 - 223814*s - 223815.
(s - 223815)*(s + 1)
Factor -t**3 - 1128*t**2 - 369453*t - 27678826.
-(t + 106)*(t + 511)**2
Solve 3*l**3 - 29652*l**2 + 207417*l = 0 for l.
0, 7, 9877
Determine v so that 2*v**4 - 6144*v**3 + 36792*v**2 = 0.
0, 6, 3066
Factor 3*l**4 - 1146*l**3 + 2280*l**2.
3*l**2*(l - 380)*(l - 2)
Let -5*o**2 + 1729710*o = 0. Calculate o.
0, 345942
Find j such that 3*j**5 + 66*j**4 + 426*j**3 + 408*j**2 - 2373*j + 1470 = 0.
-10, -7, 1
Determine m, given that -3*m**3/2 + 827*m**2/4 + 19003*m/4 + 9085/2 = 0.
-115/6, -1, 158
Find m, given that -2*m**2 - 10*m + 28 = 0.
-7, 2
Factor 5*l**4 + 550*l**3 - 3435*l**2 + 5220*l.
5*l*(l - 3)**2*(l + 116)
Suppose -3*m**5/2 - 111*m**4 + 11373*m**3 + 95826*m**2 + 412497*m/2 + 121905 = 0. What is m?
-129, -5, -2, -1, 63
Suppose z**2/4 - 228364*z + 52150116496 = 0. What is z?
456728
Find g such that 4*g**3 - 183268*g**2 + 1099500*g - 1649196 = 0.
3, 45811
Factor 2*n**2/11 - 211264*n/11 + 5579059712/11.
2*(n - 52816)**2/11
Let -2*h**2/3 + 2078*h/3 - 43416 = 0. Calculate h.
67, 972
Suppose -16*y**4 + 512*y**3 + 7404*y**2 + 7012*y + 1720 = 0. Calculate y.
-10, -1/2, 43
Factor j**3/3 + 53*j**2 - 41712*j - 8572608.
(j - 369)*(j + 264)**2/3
Factor -2*z**3 - 422*z**2 - 6948*z.
-2*z*(z + 18)*(z + 193)
Solve p**2 - 200266*p + 10026617689 = 0 for p.
100133
Let -2*i**5/19 - 1220*i**4/19 - 190876*i**3/19 - 1474936*i**2/19 - 3826914*i/19 - 3261636/19 = 0. What is i?
-301, -3, -2
Factor -4*o**3 + 198680*o**2 - 397348*o + 198672.
-4*(o - 49668)*(o - 1)**2
Factor -y**3/6 + 41*y**2 - 1205*y/6.
-y*(y - 241)*(y - 5)/6
Factor -4*w**2 + 12799888*w - 10239820800784.
-4*(w - 1599986)**2
Factor 4*x**3 + 472*x**2 - 134068*x - 134536.
4*(x - 134)*(x + 1)*(x + 251)
Solve -10*t**3/3 + 425*t**2/6 - 2155*t/6 + 875/3 = 0 for t.
1, 25/4, 14
Factor -4*k**3 - 1728080*k**2 - 6912272*k - 6912256.
-4*(k + 2)**2*(k + 432016)
Factor -2*a**5/3 - 16*a**4/3 - 40*a**3/3 - 32*a**2/3.
-2*a**2*(a + 2)**2*(a + 4)/3
Solve -3*p**4 + 567*p**3 - 1611*p**2 - 110019*p - 489510 = 0.
-7, 18, 185
Let 2*n**3 - 168*n**2 - 1902*n + 2068 = 0. Calculate n.
-11, 1, 94
Factor 3*b**4 + 309*b**3 + 906*b**2 + 600*b.
3*b*(b + 1)*(b + 2)*(b + 100)
Let -33*q**5 + 1227*q**4 + 207*q**3 - 15555*q**2 - 11838*q + 2664 = 0. What is q?
-3, -1, 2/11, 4, 37
Factor -f**4 - 5*f**3 + 284*f**2 - 1044*f + 1008.
-(f - 12)*(f - 2)**2*(f + 21)
Factor 5*g**2 - 1370*g + 20640.
5*(g - 258)*(g 