0.
-1, 7, 15
Factor -3*s**2/4 - 24819*s/4.
-3*s*(s + 8273)/4
Determine u so that u**5/2 - 1377*u**4/2 + 476067*u**3/2 - 1382959*u**2/2 - 5644392*u - 6607566 = 0.
-2, 7, 687
What is i in -8*i**5 + 572*i**4 - 13076*i**3 + 95500*i**2 - 59044*i - 168200 = 0?
-1, 2, 25/2, 29
Factor 3*j**4 + 10245*j**3 + 40944*j**2 + 40932*j.
3*j*(j + 2)**2*(j + 3411)
Determine x, given that -3*x**3 + 48216*x**2 - 144621*x = 0.
0, 3, 16069
What is o in 7*o**2 + 16059*o + 2294 = 0?
-2294, -1/7
Determine t, given that -3*t**5 + 9015*t**4 - 9012*t**3 = 0.
0, 1, 3004
What is i in -4*i**2 + 407676*i + 815368 = 0?
-2, 101921
Factor c**3 + 187*c**2 + 1448*c + 2864.
(c + 4)**2*(c + 179)
Suppose u**2/2 + 265*u/2 + 5775 = 0. Calculate u.
-210, -55
Factor -4*u**2/9 + 89272*u/9 + 178592/3.
-4*(u - 22324)*(u + 6)/9
Determine z, given that z**4 - 203*z**3 + 9839*z**2 + 203*z - 9840 = 0.
-1, 1, 80, 123
Factor -w**3/5 - 426*w**2/5 + 439*w/5 + 5124/5.
-(w - 4)*(w + 3)*(w + 427)/5
Factor 4*c**3 + 1188*c**2 - 17544*c - 39808.
4*(c - 16)*(c + 2)*(c + 311)
Factor 21*w**3 - 119493*w**2 + 169991595*w - 24282075.
3*(w - 2845)**2*(7*w - 1)
Factor 5*w**2 - 1465*w + 10010.
5*(w - 286)*(w - 7)
Determine r, given that r**5 + 66*r**4 + 165*r**3 - 1484*r**2 + 1764*r = 0.
-63, -7, 0, 2
Find g, given that -3*g**4 + 915*g**3 + 55668*g**2 - 24813780*g + 24757200 = 0.
-156, 1, 230
Find z, given that 9*z**5/7 - 12*z**4/7 - 213*z**3 + 6582*z**2/7 + 5532*z/7 - 360 = 0.
-14, -1, 1/3, 6, 10
Factor -4*o**5 - 8244*o**4 + 33016*o**3 - 49544*o**2 + 33036*o - 8260.
-4*(o - 1)**4*(o + 2065)
Let -140*i**3 + 8544*i**2 - 8644*i + 240 = 0. Calculate i.
1/35, 1, 60
Factor 4*s**3 - 1192*s**2 + 117760*s - 3859584.
4*(s - 114)*(s - 92)**2
Determine r so that -2*r**4 + 10*r**2 - 8 = 0.
-2, -1, 1, 2
Find w such that -4*w**4/3 - 932*w**3/3 + 3868*w**2/3 + 18068*w/3 + 4424 = 0.
-237, -2, -1, 7
Determine s, given that -2*s**5/3 + 86*s**4/3 + 68*s**3 - 1108*s**2/3 + 1270*s/3 - 150 = 0.
-5, 1, 45
Suppose i**3/3 + 446*i**2/3 + 27545*i/3 + 460600/3 = 0. Calculate i.
-376, -35
Let -5*o**5 + 300*o**4 + 3420*o**3 + 5600*o**2 = 0. What is o?
-8, -2, 0, 70
Factor 2*k**3/15 + 266*k**2 + 57552*k/5 + 1888568/15.
2*(k + 22)**2*(k + 1951)/15
Let 10*f**4 + 472*f**3 + 1442*f**2 + 1508*f + 528 = 0. Calculate f.
-44, -6/5, -1
Suppose -8*n**5/5 - 348*n**4/5 - 788*n**3/5 + 276*n**2 + 2812*n/5 + 984/5 = 0. Calculate n.
-41, -3, -1, -1/2, 2
Find i, given that i**2/3 - 6304*i + 29805312 = 0.
9456
Let 5*x**4 + 35685*x**3 - 285845*x**2 - 321525*x = 0. What is x?
-7145, -1, 0, 9
Solve -10*n**3/19 + 944*n**2/19 + 1544*n/19 - 768/19 = 0 for n.
-2, 2/5, 96
Suppose 3*n**3/5 - 147*n**2/5 - 966*n/5 + 12696 = 0. What is n?
-20, 23, 46
Find y, given that -3*y**3 + 4698*y**2 - 83835*y + 376164 = 0.
9, 1548
Determine f, given that -2*f**3 - 6734*f**2 - 5678432*f - 16974744 = 0.
-1682, -3
Determine a, given that a**3/9 - 3802*a**2/9 + 3579340*a/9 + 7296200 = 0.
-18, 1910
Suppose -4*l**3/5 - 232*l**2 - 36972*l/5 - 100584/5 = 0. What is l?
-254, -33, -3
Factor 8*l**2/15 + 383162*l/5 - 287372/15.
2*(l + 143686)*(4*l - 1)/15
What is a in 28*a**5 + 220*a**4 - 13164*a**3 + 1652*a**2 + 13136*a - 1872 = 0?
-26, -1, 1/7, 1, 18
Solve 10*w**5 + 11554*w**4/3 - 33650*w**3/3 - 36534*w**2 - 72188*w/3 - 7760/3 = 0 for w.
-388, -1, -2/15, 5
Suppose -27*o**2 - 36576*o - 12387072 = 0. Calculate o.
-2032/3
Let -q**2 - 3962*q - 3924361 = 0. What is q?
-1981
Factor -w**2/9 - 32*w/9 + 41.
-(w - 9)*(w + 41)/9
Factor -u**3/4 + 305*u**2/4 - 303*u/2.
-u*(u - 303)*(u - 2)/4
What is s in -s**4/4 - 27*s**3 - 52*s**2 + 108*s + 212 = 0?
-106, -2, 2
Factor -3*y**4 - 11208*y**3 - 1861212*y**2 - 79078032*y.
-3*y*(y + 86)**2*(y + 3564)
Suppose -4*q**3/3 + 21008*q**2/3 + 7004*q = 0. What is q?
-1, 0, 5253
Factor -p**2/2 - 7207*p - 51940849/2.
-(p + 7207)**2/2
Factor s**3 - 46*s**2 + 224*s + 640.
(s - 40)*(s - 8)*(s + 2)
Find r, given that r**3/3 - 152899*r**2/3 + 305795*r/3 - 152897/3 = 0.
1, 152897
Factor 5*q**2 + 1732370*q + 150055290845.
5*(q + 173237)**2
Factor 2*j**2 - 5794*j + 86460.
2*(j - 2882)*(j - 15)
Determine i so that -4*i**2/3 + 984*i - 146556 = 0.
207, 531
What is o in -3380*o**3 - 13575*o**2 - 10360*o - 165 = 0?
-3, -1, -11/676
Factor -4*m**3 - 15224*m**2 - 15220*m.
-4*m*(m + 1)*(m + 3805)
Find h such that 3*h**2/4 + 920019*h + 282144986787 = 0.
-613346
Let 6*j**4/5 - 4932*j**3/5 + 1368414*j**2/5 - 145858968*j/5 + 5247728856/5 = 0. Calculate j.
93, 318
Factor d**2 + 84978*d + 1805315121.
(d + 42489)**2
Solve b**2 + 424*b + 1680 = 0 for b.
-420, -4
Let l**5/9 - 1312*l**4/9 + 1310*l**3/3 - 3928*l**2/9 + 1309*l/9 = 0. What is l?
0, 1, 1309
Factor 4*q**2 + 492*q + 5328.
4*(q + 12)*(q + 111)
Factor 5*q**2 + 6095*q + 6090.
5*(q + 1)*(q + 1218)
Determine y so that -2*y**3/5 + 3606*y**2/5 + 18072*y/5 + 14464/5 = 0.
-4, -1, 1808
Factor 2*g**3/3 - 38*g**2 - 116*g/3.
2*g*(g - 58)*(g + 1)/3
Find i such that -54712*i**2/5 + 17186*i/5 - 444/5 = 0.
111/3908, 2/7
Find a, given that 2*a**2/7 - 38*a/7 - 276 = 0.
-23, 42
Find w, given that 2*w**4/5 + 210*w**3 + 137286*w**2/5 - 138338*w/5 = 0.
-263, 0, 1
Factor v**4/5 + 181*v**3/5 - 936*v**2/5 - 1116*v/5.
v*(v - 6)*(v + 1)*(v + 186)/5
Solve 3*v**4 + 78*v**3 + 708*v**2 + 2658*v + 3465 = 0 for v.
-11, -7, -5, -3
Solve 2*s**5/9 + 656*s**4/9 - 22*s**3/3 - 21592*s**2/9 + 18488*s/9 + 13120/3 = 0.
-328, -6, -1, 2, 5
Solve -3*i**5 + 123*i**4 + 684*i**3 + 300*i**2 - 1104*i = 0.
-4, -2, 0, 1, 46
Solve -300*f**3 - 965*f**2 - 450*f + 560 = 0 for f.
-2, -7/4, 8/15
Factor 4*i**2 - 2911848*i + 529928673444.
4*(i - 363981)**2
Find b such that -2*b**5 - 2016*b**4 - 20010*b**3 - 49900*b**2 = 0.
-998, -5, 0
Suppose -3*m**2/4 + 3987*m/4 - 31128 = 0. What is m?
32, 1297
Factor -i**3/2 - 1903*i**2 + 19051*i/2 - 7622.
-(i - 4)*(i - 1)*(i + 3811)/2
Factor 2*u**2 + 3904*u + 65790.
2*(u + 17)*(u + 1935)
Suppose -2*l**5/17 - 542*l**4/17 - 4122*l**3/17 + 22502*l**2/17 - 30460*l/17 + 12624/17 = 0. What is l?
-263, -12, 1, 2
Let -3*v**3/4 + 15183*v**2/4 + 15189*v/2 = 0. What is v?
-2, 0, 5063
Suppose -t**2/6 + 191*t/2 + 288 = 0. What is t?
-3, 576
Let -5*x**2/4 - 21695*x - 86775/4 = 0. Calculate x.
-17355, -1
Factor 2*k**2/9 + 2834*k/9 - 10472/3.
2*(k - 11)*(k + 1428)/9
Suppose 5*o**4 + 425*o**3 - 215*o**2 - 18065*o + 17850 = 0. What is o?
-85, -7, 1, 6
Determine o so that 20*o**3 + 2188*o**2 + 872*o = 0.
-109, -2/5, 0
Factor -26*n**5/5 + 36*n**4/5 + 48*n**3/5 - 20*n**2 + 42*n/5.
-2*n*(n - 1)**3*(13*n + 21)/5
Determine d so that -3*d**3 + 105*d**2 + 43719*d + 1597779 = 0.
-59, 153
Factor -2*u**4 - 32*u**3 + 204*u**2 - 144*u - 378.
-2*(u - 3)**2*(u + 1)*(u + 21)
Let 3*n**4 - 148482*n**3 - 296988*n**2 + 593928*n + 1187904 = 0. What is n?
-2, 2, 49496
Suppose 4*d**2 - 19512*d + 116928 = 0. What is d?
6, 4872
Suppose 4*l**3 - 391940*l**2 + 783864*l = 0. What is l?
0, 2, 97983
Find z, given that 5*z**2 - 275*z + 3570 = 0.
21, 34
Suppose -j**5 - 373*j**4 + 774*j**3 + 9000*j**2 = 0. What is j?
-375, -4, 0, 6
Find w, given that 3*w**4/5 - 276*w**3/5 + 4893*w**2/5 + 276*w/5 - 4896/5 = 0.
-1, 1, 24, 68
Let -a**3/2 - 967*a**2/2 + 9820*a - 49350 = 0. What is a?
-987, 10
Factor -12*c**2 + 2956408*c + 1970944.
-4*(c - 246368)*(3*c + 2)
Let q**4 - 29*q**3 + 66*q**2 + 1976*q - 7360 = 0. What is q?
-8, 4, 10, 23
Factor -t**3/4 - 95*t**2/2 + 5400*t.
-t*(t - 80)*(t + 270)/4
Determine y so that -4*y**2 + 197464*y - 2437001956 = 0.
24683
Find y, given that -3*y**3/2 + 207*y**2/2 + 13284*y + 274104 = 0.
-36, 141
Factor 4*z**2 - 604*z - 395808.
4*(z - 399)*(z + 248)
Suppose 4*j**2 - 64016*j + 192012 = 0. Calculate j.
3, 16001
Factor 3*g**2 + 5535*g + 16578.
3*(g + 3)*(g + 1842)
Find c such that 6*c**5 - 789*c**4 + 23724*c**3 - 249828*c**2 + 735360*c + 433152 = 0.
-1/2, 6, 16, 94
Factor 2*y**4 + 258*y**3 + 7794*y**2 - 16370*y + 8316.
2*(y - 1)**2*(y + 54)*(y + 77)
Factor 5*b**4 + 190*b**3 - 3200*b**2 + 5810*b - 2805.
5*(b - 11)*(b - 1)**2*(b + 51)
Solve 2*c**5/23 - 1994*c**4/23 - 12178*c**3/23 + 141946*c**2/23 + 484640*c/23 - 3209600/23 = 0.
-8, 5, 1003
What is i in -i**3 - 96*i**2 - 1308*i - 2240 = 0?
-80, -14, -2
Suppose u**2 + 17878*u = 0. What is u?
-17878, 0
Determine x, given that -4*x**5/9 + 206*x**4 - 2524*x**3 + 74914*x**2/9 - 7192*x/3 - 3608 = 0.
-1/2, 1, 6, 451
Find i, given that 3*i**4 -