that -2*v**5 + 304*v**4 - 11546*v**3 - 916*v**2 + 35264*v - 23104 = 0.
-2, 1, 76
Determine r so that r**3 - 861*r**2 + 860*r = 0.
0, 1, 860
Factor -4*v**2 + 262232*v.
-4*v*(v - 65558)
Suppose 2*v**2/3 + 716*v/3 + 15344 = 0. Calculate v.
-274, -84
Suppose m**3/6 + 391*m**2/6 - 135*m - 1572 = 0. What is m?
-393, -4, 6
Factor -i**3/2 - 409*i**2/2 - 812*i - 810.
-(i + 2)**2*(i + 405)/2
Factor -4*h**3/9 + 116*h**2/9 + 1060*h/9 - 7700/9.
-4*(h - 35)*(h - 5)*(h + 11)/9
Determine u so that u**3 + 651*u**2 + 8951*u + 21021 = 0.
-637, -11, -3
Suppose 5*g**3/2 + 551187*g**2/2 - 165358*g - 110238 = 0. Calculate g.
-110238, -2/5, 1
Factor -22*y**2 - 1008*y + 2304.
-2*(y + 48)*(11*y - 24)
Suppose -5*q**4 + 985*q**3 - 36210*q**2 - 338240*q - 709280 = 0. Calculate q.
-4, 62, 143
Factor -3*y**3 - 8388*y**2 - 484083*y + 1001742.
-3*(y - 2)*(y + 61)*(y + 2737)
Suppose 2*k**4/13 + 10358*k**3/13 + 41408*k**2/13 + 41400*k/13 = 0. Calculate k.
-5175, -2, 0
Suppose -5*b**2 - 446000*b - 9945800000 = 0. Calculate b.
-44600
Factor -2*d**5/3 + 1366*d**4/3 - 233926*d**3/3 + 232562*d**2/3.
-2*d**2*(d - 341)**2*(d - 1)/3
What is p in -2*p**5 + 4046*p**4 - 2060364*p**3 + 14249088*p**2 - 12192768*p = 0?
0, 1, 6, 1008
Find l, given that -28*l**4 - 408*l**3 - 716*l**2 + 1728*l - 576 = 0.
-12, -4, 3/7, 1
Factor r**2 - 4800*r.
r*(r - 4800)
What is o in 2*o**3/21 - 1346*o**2/21 + 6680*o/21 = 0?
0, 5, 668
Determine y so that -36*y**4/7 - 44*y**3 - 112*y**2 - 512*y/7 = 0.
-4, -32/9, -1, 0
Solve -2*r**3/15 + 8492*r**2/5 - 152794*r/15 + 8488 = 0.
1, 5, 12732
Determine r so that 55*r**5 + 665*r**4 + 1270*r**3 - 4510*r**2 + 2275*r + 245 = 0.
-7, -1/11, 1
Factor c**4/4 + 197*c**3 + 387*c**2 - 4716*c.
c*(c - 4)*(c + 6)*(c + 786)/4
Factor 4*b**3 - 1852*b**2 + 215292*b - 213444.
4*(b - 231)**2*(b - 1)
Factor 14*l**2 - 528*l + 1000.
2*(l - 2)*(7*l - 250)
Find t such that 4*t**3 + 120*t**2 - 1012*t + 888 = 0.
-37, 1, 6
Solve 5*u**2 - 2000*u + 199995 = 0.
199, 201
Determine p, given that -36*p**4 + 280248*p**3 - 5776900*p**2 + 3757856*p - 621120 = 0.
1/3, 20, 7764
Suppose -2*h**2 + 1200*h + 10962 = 0. Calculate h.
-9, 609
Suppose 35*k**4 - 7550*k**3 - 9755*k**2 - 2170*k = 0. Calculate k.
-1, -2/7, 0, 217
Solve -68*z**3/9 + 76*z**2/9 + 400*z/9 - 16/3 = 0 for z.
-2, 2/17, 3
Suppose 3*s**5/7 - 57*s**4/7 + 369*s**3/7 - 1023*s**2/7 + 1248*s/7 - 540/7 = 0. Calculate s.
1, 2, 5, 9
Determine l so that -8*l**3 + 188*l**2 - 472*l - 1760 = 0.
-2, 11/2, 20
Let 3*n**2/4 + 511177*n/4 - 170393/2 = 0. Calculate n.
-170393, 2/3
Determine r so that 25*r**5 + 3610*r**4 - 24835*r**3 + 12140*r**2 + 9060*r = 0.
-151, -2/5, 0, 1, 6
Solve -2*t**3 - 521132*t**2 + 521134*t = 0.
-260567, 0, 1
Solve -k**2/5 + 342718*k/5 - 29363906881/5 = 0 for k.
171359
Find i such that i**5 - 151*i**4 + 1419*i**3 - 1269*i**2 = 0.
0, 1, 9, 141
Factor -w**2 + 34605*w + 34606.
-(w - 34606)*(w + 1)
Suppose -x**4/5 - 99*x**3/5 - 3467*x**2/5 - 49137*x/5 - 43560 = 0. Calculate x.
-33, -25, -8
What is y in y**3/3 + 143*y**2/3 - 1196*y/3 + 604 = 0?
-151, 2, 6
Factor -1923*l**3/4 - 1074*l**2 - 2823*l/4 - 225/2.
-3*(l + 1)**2*(641*l + 150)/4
Determine a so that 2*a**5/7 - 12*a**4 - 916*a**3/7 - 264*a**2/7 + 8402*a/7 - 1020 = 0.
-7, -5, 1, 2, 51
Suppose -2*j**2/3 + 2272*j/3 - 138920 = 0. What is j?
230, 906
Determine j, given that -15*j**4 - 65*j**3 + 305*j**2 + 145*j - 210 = 0.
-7, -1, 2/3, 3
Factor f**2/4 - 310*f - 15456.
(f - 1288)*(f + 48)/4
Factor -3*d**2 + 23319*d + 23322.
-3*(d - 7774)*(d + 1)
Solve 42*i**5 + 1046*i**4 + 908*i**3 - 96*i**2 = 0.
-24, -1, 0, 2/21
Factor -26*o**2/3 - 1120*o/3 - 86/3.
-2*(o + 43)*(13*o + 1)/3
Factor 19245*s**2/4 - 38485*s/2 - 10.
5*(s - 4)*(3849*s + 2)/4
Determine a, given that a**2/6 + 5683*a/6 - 89528 = 0.
-5776, 93
Factor g**4/3 + 11*g**3 - 1366*g**2/3 - 1456*g.
g*(g - 26)*(g + 3)*(g + 56)/3
Find t such that -2*t**5 + 38*t**4 + 208*t**3 - 488*t**2 - 1600*t + 2944 = 0.
-4, 2, 23
What is h in 2*h**5 + 54*h**4 - 1388*h**3 + 716*h**2 + 54186*h + 52030 = 0?
-43, -5, -1, 11
Solve -2*x**2/9 - 12904*x/9 + 181048/9 = 0 for x.
-6466, 14
Determine c so that 2*c**4 - 1600*c**3 + 306606*c**2 + 5498208*c - 34957440 = 0.
-21, 5, 408
Factor -243*u**3/4 - 2550*u**2 + 63*u.
-3*u*(u + 42)*(81*u - 2)/4
Determine l so that -2*l**2/13 - 206516*l/13 - 5331107282/13 = 0.
-51629
Factor -l**2/5 + 16/5.
-(l - 4)*(l + 4)/5
What is x in 18*x**3 + 207*x**2/2 - 73*x/2 = 0?
-73/12, 0, 1/3
Solve 12*b**3/5 - 940*b**2 + 459424*b/5 + 153664/5 = 0.
-1/3, 196
Find q such that q**4 + 95*q**3 - 391*q**2 + 493*q - 198 = 0.
-99, 1, 2
Suppose 24*f**3 + 851*f**2 + 4458*f + 6363 = 0. What is f?
-707/24, -3
Factor -l**2/3 - 9566*l/3 - 28671.
-(l + 9)*(l + 9557)/3
Determine h so that -43685*h**2 + h = 0.
0, 1/43685
Factor -3*b**3 - 104640*b**2 + 627921*b - 941922.
-3*(b - 3)**2*(b + 34886)
Let 3*u**4 - 42399*u**3 + 149742654*u**2 + 449524800*u + 299739744 = 0. Calculate u.
-2, -1, 7068
Factor -154568*w**3/3 + 606040*w**2/3 + 48686*w/3 + 968/3.
-2*(w - 4)*(278*w + 11)**2/3
Factor 2*y**3 - 30738*y**2/5 + 786384*y/5.
2*y*(y - 3048)*(5*y - 129)/5
Factor 102*c**3/7 - 788*c**2 + 74790*c/7 - 5832/7.
2*(c - 27)**2*(51*c - 4)/7
Suppose -2*a**2/5 - 1249772*a/5 - 195241256498/5 = 0. What is a?
-312443
Find o, given that o**4 - 3*o**3 - 72*o**2 + 292*o - 288 = 0.
-9, 2, 8
Let 327*x**2 - 12428*x + 76 = 0. What is x?
2/327, 38
Find j, given that -j**4 - 734*j**3 - 25671*j**2 + 82166*j - 55760 = 0.
-697, -40, 1, 2
Let -3*k**5/5 - 15*k**4 + 51*k**3/5 + 3267*k**2/5 + 1512*k = 0. Calculate k.
-24, -5, -3, 0, 7
Factor -q**3 + 7061*q**2 + 14125*q + 7063.
-(q - 7063)*(q + 1)**2
Factor 6*l**3/7 - 13091*l**2/7 + 7139504*l/7 + 1190281/7.
(l - 1091)**2*(6*l + 1)/7
Factor 2*r**2 - 74*r + 572.
2*(r - 26)*(r - 11)
Factor 4*w**2 + 2656*w - 21504.
4*(w - 8)*(w + 672)
Determine v so that -8*v**4 - 13004*v**3 + 6504*v**2 = 0.
-1626, 0, 1/2
Suppose 4*k**4 + 2888*k**3 - 292320*k**2 = 0. Calculate k.
-812, 0, 90
Factor 4*z**2 + 52988*z + 370720.
4*(z + 7)*(z + 13240)
Determine x so that -2*x**4/13 - 30*x**3/13 + 1418*x**2/13 - 7482*x/13 + 10656/13 = 0.
-37, 3, 16
Suppose -2*b**5 - 44*b**4 + 912*b**3 - 3484*b**2 - 910*b + 3528 = 0. What is b?
-36, -1, 1, 7
Factor -v**3/2 + 33503*v**2/2.
-v**2*(v - 33503)/2
Determine i, given that 6*i**2 - 17529*i - 8766 = 0.
-1/2, 2922
Factor -3*s**2 - 79914*s - 479376.
-3*(s + 6)*(s + 26632)
Factor b**2/9 - 131*b/3 - 540.
(b - 405)*(b + 12)/9
Factor b**3/7 + 107822*b**2/7 + 431276*b/7 + 431272/7.
(b + 2)**2*(b + 107818)/7
Let -1045*h**5/3 - 10910*h**4/3 - 24395*h**3/3 + 23210*h**2/3 + 4980*h - 600 = 0. What is h?
-6, -5, -6/11, 2/19, 1
Factor 1081*b**2/2 - 1085*b/2 + 2.
(b - 1)*(1081*b - 4)/2
What is s in -s**4/2 - 25*s**3/2 - 69*s**2 + 288*s + 2160 = 0?
-12, -6, 5
Let z**5 + 2341*z**4/4 + 156677*z**3/4 + 2485883*z**2/4 - 11823981*z/4 - 777231 = 0. What is z?
-511, -39, -1/4, 4
Find s such that -s**2/4 - 1375*s - 5499/4 = 0.
-5499, -1
Factor 2*l**3/9 + 200*l**2/9 - 18446*l/9 - 18644/9.
2*(l - 59)*(l + 1)*(l + 158)/9
Factor z**3/6 - 22*z**2/3 - 46*z/3.
z*(z - 46)*(z + 2)/6
Determine k, given that 5*k**5 + 435*k**4 - 1345*k**3 + 465*k**2 + 1340*k - 900 = 0.
-90, -1, 1, 2
Find o, given that 5*o**5/4 + 5*o**4/2 - 160*o**3 - 1225*o**2/2 + 12875*o/4 + 13750 = 0.
-8, -5, 5, 11
Factor -2*s**3/15 + 165742*s**2/15.
-2*s**2*(s - 82871)/15
Factor 3*g**2 - 34488*g.
3*g*(g - 11496)
Factor -2*k**3/17 - 142*k**2 - 2412*k/17.
-2*k*(k + 1)*(k + 1206)/17
Let -2*n**3 - 410*n**2 + 2352*n + 52920 = 0. What is n?
-210, -9, 14
Let -3*o**4 + 22782*o**3 - 43319892*o**2 + 259099848*o = 0. Calculate o.
0, 6, 3794
Factor 3*j**2/7 + 1343889*j/7.
3*j*(j + 447963)/7
Suppose -2*f**3/3 + 21634*f**2/3 - 64876*f/3 - 86512/3 = 0. What is f?
-1, 4, 10814
Factor -64*u**2 + 182*u + 30.
-2*(u - 3)*(32*u + 5)
Solve 40*q**4 - 3254*q**3 + 4304*q**2 + 1280*q = 0 for q.
-1/4, 0, 8/5, 80
Factor q**3/3 + 521*q**2/3 + 68120*q/3 + 67600/3.
(q + 1)*(q + 260)**2/3
Determine m so that 75*m**3/2 - 250065*m**2/2 - 100044*m - 20010 = 0.
-2/5, 3335
Let -b**3 + 493*b**2 - 74760*b + 3219300 = 0. What is b?
73, 210
Determine h, given that -h**2 + 12382*h - 38328481 = 0.
6191
Determine s so that s**2 + 1828*s = 0.
-1828, 0
Let -2*j**3 + 1866*j**2 - 3724*j = 0. What is j?
0, 2, 931
Factor -27*s**2/5 - 18474*s - 