v.
-42, -3, 25
Determine b, given that 2*b**3/7 + 6602*b**2/7 + 26352*b/7 - 11304 = 0.
-3297, -6, 2
Factor -3*p**2/2 - 20025*p - 40047/2.
-3*(p + 1)*(p + 13349)/2
Suppose p**4/2 - 1244*p**3 + 1539973*p**2/2 + 4754811*p - 55980324 = 0. Calculate p.
-12, 6, 1247
Factor -5*g**2 - 695*g - 12870.
-5*(g + 22)*(g + 117)
Suppose -i**5/5 - 73*i**4/5 + 63*i**3 + 529*i**2/5 - 154*i = 0. What is i?
-77, -2, 0, 1, 5
Factor -3*y**3 + 91140*y**2 - 692117151*y - 1384598886.
-3*(y - 15191)**2*(y + 2)
Factor l**4 - 13*l**3 - 170*l**2 + 600*l.
l*(l - 20)*(l - 3)*(l + 10)
What is k in k**5 - 322*k**4 - 1955*k**3 - 4252*k**2 - 3932*k - 1312 = 0?
-2, -1, 328
Solve 2*n**2/5 + 176*n/5 + 1422/5 = 0 for n.
-79, -9
Suppose -2*i**2 + 3516*i - 170800 = 0. What is i?
50, 1708
Factor 2*f**4/21 + 80*f**3/7 + 306*f**2 + 49708*f/21.
2*f*(f + 17)**2*(f + 86)/21
Factor 5*j**3 + 5205*j**2 + 61920*j + 185220.
5*(j + 6)**2*(j + 1029)
Factor -a**3/9 - 23932*a**2/9 - 143209085*a/9 - 286322450/9.
-(a + 2)*(a + 11965)**2/9
Solve x**5/3 - 275*x**4 + 3257*x**3/3 + 22129*x**2/3 + 10394*x + 13136/3 = 0 for x.
-2, -1, 8, 821
Find u such that u**5/10 + 247*u**4/10 + 366*u**3/5 - 2*u**2/5 - 488*u/5 = 0.
-244, -2, 0, 1
Solve -2*g**3/5 - 278*g**2 - 233686*g/5 + 2741398/5 = 0.
-353, 11
Solve -3*y**2 - 15849*y - 47520 = 0.
-5280, -3
Suppose 2*m**2/3 - 63644*m + 1518959526 = 0. Calculate m.
47733
Factor m**2 - 300228*m + 22534212996.
(m - 150114)**2
Let 2*s**5/5 - 42*s**4/5 + 134*s**3/5 + 66*s**2/5 - 568*s/5 + 408/5 = 0. Calculate s.
-2, 1, 2, 3, 17
Let -5*r**2 - 40340*r - 81365780 = 0. Calculate r.
-4034
What is w in w**5 - 608*w**4 - 6144*w**3 - 22194*w**2 - 33345*w - 16686 = 0?
-3, -1, 618
Determine y, given that -2*y**2 - 10096*y - 110814 = 0.
-5037, -11
Suppose a**4 - 5410*a**3 + 7311604*a**2 + 14688168*a - 58579488 = 0. What is a?
-4, 2, 2706
Determine o, given that -4*o**2/7 - 36664*o/7 - 183220/7 = 0.
-9161, -5
What is q in 4*q**4 + 1488*q**3 - 7508*q**2 + 12048*q - 6032 = 0?
-377, 1, 2
Solve -5*u**2 - 108895*u + 108900 = 0 for u.
-21780, 1
Factor 2*n**2/11 - 40*n/11 - 113088/11.
2*(n - 248)*(n + 228)/11
What is q in -6*q**5 + 1054*q**4 + 9092*q**3 + 19872*q**2 + 64*q - 11776 = 0?
-4, -1, 2/3, 184
Find t such that -t**5/3 - 335*t**4 - 3007*t**3/3 - 333*t**2 + 3008*t/3 + 668 = 0.
-1002, -2, -1, 1
Factor -4*x**3 - 1888*x**2 - 18384*x + 44352.
-4*(x - 2)*(x + 12)*(x + 462)
Factor -3*q**3 + 39*q**2 + 135*q - 675.
-3*(q - 15)*(q - 3)*(q + 5)
Factor 26*f**3/9 + 64*f**2/3 - 56*f - 480.
2*(f + 6)**2*(13*f - 60)/9
Factor 2*d**3/7 + 82*d**2/7 - 88*d/7 - 24.
2*(d - 2)*(d + 1)*(d + 42)/7
Let 2*o**4 - 4*o**3 - 494*o**2 - 440*o + 2856 = 0. Calculate o.
-14, -3, 2, 17
Factor -a**3/3 - 102*a**2 - 4121*a/3 - 3212.
-(a + 3)*(a + 11)*(a + 292)/3
Suppose -3*l**2 - 2544*l - 27621 = 0. What is l?
-837, -11
Find z, given that -z**2 - 25988*z - 168844036 = 0.
-12994
Find d such that -d**2 - 345620*d - 29863296100 = 0.
-172810
What is a in -4*a**5 - 556*a**4 - 20548*a**3 - 78052*a**2 + 386456*a - 287296 = 0?
-67, -8, 1, 2
Factor 5*g**2/6 + 2830*g + 16970/3.
5*(g + 2)*(g + 3394)/6
Factor x**4/3 + 45*x**3 + 4529*x**2/3 + 16219*x + 26754.
(x + 2)*(x + 21)**2*(x + 91)/3
Factor -n**2/6 + 1593*n + 124423/6.
-(n - 9571)*(n + 13)/6
Suppose -2*o**3/9 - 58450*o**2/9 - 426904150*o/9 + 2135982250/9 = 0. Calculate o.
-14615, 5
Determine l so that 2*l**4 - 6394*l**3 + 12774*l**2 + 19170*l = 0.
-1, 0, 3, 3195
Factor 3*p**3/5 + 30*p**2 - 897*p/5 - 792.
3*(p - 8)*(p + 3)*(p + 55)/5
Suppose 5*v**2 + 253950*v + 3224530125 = 0. What is v?
-25395
Suppose y**4/3 + 700*y**3/3 + 121762*y**2/3 - 90324*y - 1437345 = 0. What is y?
-351, -5, 7
Find q, given that 3*q**4 + 21024*q**3 + 20985*q**2 - 252252*q = 0.
-7007, -4, 0, 3
Solve 4*b**2 + 1963080*b + 240855192900 = 0.
-245385
What is d in -d**2 + 9892*d + 168453 = 0?
-17, 9909
Let g**3/3 - 2762*g**2/3 + 602272*g + 46784640 = 0. Calculate g.
-70, 1416
Factor 15*d**3 - 69820*d**2 + 186100*d - 93040.
5*(d - 4652)*(d - 2)*(3*d - 2)
Factor -228*j**3 - 752*j**2 - 660*j - 136.
-4*(j + 1)*(j + 2)*(57*j + 17)
Factor -2*k**3/7 + 14934*k**2/7 - 27870576*k/7 - 27885512/7.
-2*(k - 3734)**2*(k + 1)/7
What is w in 4*w**4 - 4112*w**3 - 4156*w**2 + 41192*w - 32928 = 0?
-4, 1, 2, 1029
Solve -3*c**3 + 3648*c**2 - 50631*c + 176694 = 0 for c.
7, 1202
What is v in -3*v**2 + 3840*v + 7692 = 0?
-2, 1282
What is x in -4*x**4 - 452*x**3 + 924*x**2 + 452*x - 920 = 0?
-115, -1, 1, 2
Factor -u**4/5 - 18287*u**3/5 - 83466271*u**2/5 + 251222403*u.
-u*(u - 15)*(u + 9151)**2/5
Factor -j**4 - 212*j**3 - 837*j**2 - 1042*j - 416.
-(j + 1)**2*(j + 2)*(j + 208)
Let q**3/3 + 4379*q**2/3 + 1597240*q - 1598700 = 0. What is q?
-2190, 1
Let 3*o**3 - 927*o**2 + 72072*o - 1662960 = 0. What is o?
52, 205
Let -38*i**4/13 - 126*i**3 - 14726*i**2/13 - 14490*i/13 - 1364/13 = 0. Calculate i.
-31, -11, -1, -2/19
Suppose -4*m**4 + 15046*m**3 + 294880*m**2 + 143678*m = 0. What is m?
-19, -1/2, 0, 3781
Find q, given that -28*q**5 + 9876*q**4 + 22696*q**3 + 8552*q**2 - 11340*q - 7100 = 0.
-1, 5/7, 355
Let s**4 + 3730*s**3 - 18688*s**2 - 48562*s - 26145 = 0. Calculate s.
-3735, -1, 7
Let u**5/4 + 1211*u**4/4 + 364801*u**3/4 - 1112623*u**2/4 - 1100491*u/2 + 736898 = 0. Calculate u.
-607, -2, 1, 4
Solve 21*b**3/4 + 79980*b**2 + 662343*b + 182712 = 0 for b.
-15226, -8, -2/7
Factor 2*p**4/11 - 4016*p**3/11 - 48408*p**2/11 - 145440*p/11.
2*p*(p - 2020)*(p + 6)**2/11
Solve -7*l**4 + 32104*l**3 - 137489*l**2 + 132884*l - 27492 = 0.
2/7, 1, 3, 4582
Find x, given that -2*x**3/11 + 70*x**2/11 - 512*x/11 - 120 = 0.
-2, 15, 22
Factor 20*s**3 + 2132*s**2 + 20544*s + 18432.
4*(s + 1)*(s + 96)*(5*s + 48)
Find n, given that 6*n**5/5 - 29*n**4/5 - 229*n**3/5 - 13*n**2 + 831*n/5 + 702/5 = 0.
-3, -13/6, -1, 2, 9
Determine b so that -43*b**5 - 2237*b**4 - 29077*b**3 + 1561*b**2 + 29120*b + 676 = 0.
-26, -1, -1/43, 1
Factor -4*b**3 + 1208*b**2 + 6124*b + 4912.
-4*(b - 307)*(b + 1)*(b + 4)
Determine w so that -2*w**2 - 88920*w - 988345800 = 0.
-22230
Find g such that 2*g**2/17 - 2110*g/17 + 2196 = 0.
18, 1037
Solve -2*r**5/3 - 46*r**4/3 + 6532*r**3/3 + 231856*r**2/3 + 1018880*r/3 + 793600/3 = 0 for r.
-40, -4, -1, 62
Determine m, given that 3*m**4 - 63*m**3 - 1191*m**2 + 2619*m + 54432 = 0.
-9, 7, 32
Factor 10*p**2/19 + 62*p/19 - 3180/19.
2*(p - 15)*(5*p + 106)/19
Determine q so that -q**2 - 111*q - 2990 = 0.
-65, -46
Find k, given that 9*k**4/8 + 53313*k**3/8 - 17781*k**2/8 - 53313*k/8 + 4443/2 = 0.
-5924, -1, 1/3, 1
Factor o**3 - 140*o**2 + 937*o - 798.
(o - 133)*(o - 6)*(o - 1)
Suppose 3*f**3/7 + 2220*f**2/7 + 539136*f/7 + 6158592 = 0. What is f?
-308, -216
Find z, given that -20*z**5/3 - 339774*z**4 - 101908*z**3/3 + 1223186*z**2/3 + 33976*z - 203864/3 = 0.
-50966, -1, -1/2, 2/5, 1
Determine a so that -20*a**5 + 108*a**4 + 120*a**3 - 304*a**2 + 96*a = 0.
-2, 0, 2/5, 1, 6
Factor -d**2/9 + 18083*d/3 - 18082.
-(d - 54246)*(d - 3)/9
Determine w so that -28*w**5/5 + 1164*w**4/5 - 10456*w**3/5 - 5376*w**2/5 + 6272*w/5 = 0.
-1, 0, 4/7, 14, 28
Factor o**3/10 + 16227*o**2/10 - 12988*o.
o*(o - 8)*(o + 16235)/10
Factor -2*j**3/23 - 285998*j**2/23 - 10224785984*j/23 - 30671784024/23.
-2*(j + 3)*(j + 71498)**2/23
Determine h, given that -2*h**5/5 - 24*h**4/5 + 4944*h**3/5 + 20804*h**2 + 720594*h/5 + 333396 = 0.
-45, -7, 54
What is u in -u**5/7 - 12*u**4/7 + 439*u**3/7 + 406*u**2 - 48204*u/7 - 14872 = 0?
-22, -14, -2, 13
Determine i, given that i**5/4 + 139*i**4/4 + 4751*i**3/4 - 6151*i**2/4 - 10710*i + 11025 = 0.
-70, -3, 1, 3
Find o such that -75*o**4 + 135*o**3 + 993*o**2 + 981*o + 270 = 0.
-2, -3/5, 5
Factor -c**4/3 - 454*c**3 - 149043*c**2 + 3775464*c - 23051952.
-(c - 12)**2*(c + 693)**2/3
Determine h, given that 5*h**5 - 380*h**4 + 9460*h**3 - 73210*h**2 - 103545*h + 167670 = 0.
-2, 1, 23, 27
Factor u**2 + 9397*u.
u*(u + 9397)
Factor -w**2/4 + 377*w/4 - 6441/2.
-(w - 339)*(w - 38)/4
Factor 2*i**3/5 - 668*i**2 + 13328*i/5.
2*i*(i - 1666)*(i - 4)/5
Factor -w**2/4 - 23*w/2 - 129/4.
-(w + 3)*(w + 43)/4
Determine n so that 2*n**5/19 + 8*n**4 + 1350*n**3/19 - 5144*n**2/19 + 3640*n/19 = 0.
-65, -14, 0, 1, 2
Suppose t**4/3 + 1420*t**3/3 - 5737*t**2 - 38678*t/3 - 20048/3 = 0. Calculate t.
-1432, -1, 14
Suppose 3*w**3 - 5133*w**2 + 121896*w - 728784 = 0. Calculate w.
12, 168