g, given that 86*g**4 + 80*g**3/3 - 260*g**2/3 - 80*g/3 + 2/3 = 0.
-1, -1/3, 1/43, 1
Factor -12*s**3 + 64*s**2 - 48*s - 64.
-4*(s - 4)*(s - 2)*(3*s + 2)
Factor -72*g**3 - 2712*g**2 + 910*g - 76.
-2*(g + 38)*(6*g - 1)**2
Factor 2*m**2 - 66*m - 68.
2*(m - 34)*(m + 1)
Find s such that -5*s**5 - 720*s**4 + 1460*s**3 - 10*s**2 - 1455*s + 730 = 0.
-146, -1, 1
Let k**2/6 - 94*k + 558 = 0. What is k?
6, 558
Find v such that v**2/3 - 11*v - 34/3 = 0.
-1, 34
Factor 2*g**3/23 + 16*g**2/23 - 2*g/23 - 16/23.
2*(g - 1)*(g + 1)*(g + 8)/23
Determine w so that -2*w**5 - 10*w**4 - 8*w**3 + 32*w**2 + 64*w + 32 = 0.
-2, -1, 2
Find f, given that -5*f**3 + 25*f**2 - 10*f - 40 = 0.
-1, 2, 4
Factor 6*a**2 + 3670*a - 1224.
2*(a + 612)*(3*a - 1)
Factor x**2 + 190*x + 925.
(x + 5)*(x + 185)
Factor -7*m**3/3 + 88*m**2/3 - 268*m/3 + 80.
-(m - 2)**2*(7*m - 60)/3
Solve c**4/4 - 3*c**3/2 + c**2 + 6*c - 8 = 0.
-2, 2, 4
Suppose -3*p**5 + 7*p**4 + 94*p**3 + 58*p**2 - 219*p + 63 = 0. Calculate p.
-3, 1/3, 1, 7
Solve -3*j**2/8 - 261*j/8 - 2145/4 = 0.
-65, -22
Factor -4*d**4 + 220*d**3 - 2416*d**2 - 17040*d - 14400.
-4*(d - 30)**2*(d + 1)*(d + 4)
Solve 4*y**2 - 532*y - 1080 = 0 for y.
-2, 135
Find h, given that h**2 - 16 = 0.
-4, 4
Let -2*b**5/9 - 2*b**4/3 + 10*b**3/9 + 2*b**2/3 - 8*b/9 = 0. Calculate b.
-4, -1, 0, 1
Factor -3*w**2 + 3873*w - 3870.
-3*(w - 1290)*(w - 1)
Suppose 3*p**3/2 + 9*p**2/2 - 9*p - 12 = 0. What is p?
-4, -1, 2
Solve -s**3 - 35*s**2 - 128*s - 124 = 0 for s.
-31, -2
Suppose -3*s**5 - 3*s**4 + 21*s**3 + 39*s**2 + 18*s = 0. What is s?
-2, -1, 0, 3
Suppose -2*l**5 - 24*l**4 - 54*l**3 + 216*l**2 + 648*l = 0. What is l?
-6, -3, 0, 3
Let -q**5/2 + 3*q**4/2 - q**3/2 - 3*q**2/2 + q = 0. What is q?
-1, 0, 1, 2
Solve -5*a**4 + 80*a**3 + 175*a**2 + 90*a = 0.
-1, 0, 18
Factor -8*w**4 - 1922*w**3 + 1446*w**2.
-2*w**2*(w + 241)*(4*w - 3)
Solve -2*r**3/5 + 2*r**2/5 + 32*r/5 - 32/5 = 0.
-4, 1, 4
Find o, given that o**3/6 - 2*o**2/3 + o/2 = 0.
0, 1, 3
Factor 5*i**2 + 65*i + 60.
5*(i + 1)*(i + 12)
Factor 2*u**3 - 84*u**2 + 514*u - 840.
2*(u - 35)*(u - 4)*(u - 3)
Factor -49*i**3 + 2667*i**2 + 1536*i + 220.
-(i - 55)*(7*i + 2)**2
Factor 5*k**5 + 15*k**4 - 20*k**2.
5*k**2*(k - 1)*(k + 2)**2
Determine q so that 15*q**4 + 140*q**3 - 265*q**2 + 110*q = 0.
-11, 0, 2/3, 1
Factor 4*f**3 + 16*f**2 + 20*f + 8.
4*(f + 1)**2*(f + 2)
Factor -2*u**2/7 - 102*u + 1436/7.
-2*(u - 2)*(u + 359)/7
Solve 4*m**2 - 196*m + 552 = 0.
3, 46
Factor -c**5 - 6*c**4 - 8*c**3 + 2*c**2 + 9*c + 4.
-(c - 1)*(c + 1)**3*(c + 4)
Factor 5*r**5/4 - 5*r**3/2 + 5*r/4.
5*r*(r - 1)**2*(r + 1)**2/4
What is j in 6*j**4 - 57*j**3 + 144*j**2 - 33*j - 60 = 0?
-1/2, 1, 4, 5
Determine m so that -12*m**5 + 99*m**4 + 564*m**3 - 243*m**2 - 552*m + 144 = 0.
-4, -1, 1/4, 1, 12
What is v in 9*v**5/4 - 3*v**4 - 83*v**3/4 - 25*v**2/2 - 2*v = 0?
-2, -1/3, 0, 4
Let -h**5/5 + 4*h**4/5 - 3*h**3/5 - 4*h**2/5 + 4*h/5 = 0. Calculate h.
-1, 0, 1, 2
Determine p so that 2*p**4/3 + 134*p**3/9 - 386*p**2/9 + 346*p/9 - 100/9 = 0.
-25, 2/3, 1
Suppose -6*b**3 - 117*b**2 + 186*b - 63 = 0. Calculate b.
-21, 1/2, 1
Suppose p**2 + 2168*p - 2169 = 0. Calculate p.
-2169, 1
Determine k, given that 2*k**3 - 328*k**2 + 12768*k + 56448 = 0.
-4, 84
Let -2*d**5/7 + 2*d**4/7 + 2*d**3 - 26*d**2/7 + 12*d/7 = 0. Calculate d.
-3, 0, 1, 2
Let -3*m**2 + 11610*m - 11232675 = 0. Calculate m.
1935
Factor -d**3/4 - 5*d**2/2 - 33*d/4 - 9.
-(d + 3)**2*(d + 4)/4
Factor 3*a**2 - 189*a + 1950.
3*(a - 50)*(a - 13)
Factor -2*q**2/7 - 92*q - 7406.
-2*(q + 161)**2/7
Suppose 2*j**5/15 - 254*j**4/15 + 8384*j**3/15 - 17168*j**2/15 - 177568*j/15 - 215264/15 = 0. What is j?
-2, 7, 62
Let -3*z**4/2 + 219*z**3/2 - 5859*z**2/2 + 67473*z/2 - 138915 = 0. Calculate z.
10, 21
Factor -4*q**3 - 60*q**2 - 224*q.
-4*q*(q + 7)*(q + 8)
Factor -p**2 + 296*p - 21904.
-(p - 148)**2
Solve -6*x**3 - 22*x**2 - 10*x + 6 = 0 for x.
-3, -1, 1/3
Factor 2*o**2/3 - 172*o/3 - 434.
2*(o - 93)*(o + 7)/3
Factor -5*p**4 - 20*p**3 + 15*p**2 + 70*p + 40.
-5*(p - 2)*(p + 1)**2*(p + 4)
Factor 2*c**4/11 + 262*c**3/11 + 11610*c**2/11 + 181202*c/11 + 318028/11.
2*(c + 2)*(c + 43)**3/11
Factor 2*q**3/7 - 8*q**2/7 - 22*q/7 - 12/7.
2*(q - 6)*(q + 1)**2/7
Determine f so that -5*f**3 + 30*f**2 - 15*f - 50 = 0.
-1, 2, 5
Factor 26*s**4/11 + 10*s**3/11.
2*s**3*(13*s + 5)/11
Solve 5*t**4 - 210*t**3 + 205*t**2 = 0.
0, 1, 41
Let -2*c**3/9 + 40*c**2 + 242*c/3 + 364/9 = 0. What is c?
-1, 182
Let 20*g**3 + 4525*g**2 + 256510*g + 63845 = 0. What is g?
-113, -1/4
Suppose -4*s**3 + 1372*s**2 + 5536*s + 5552 = 0. Calculate s.
-2, 347
Factor z**2/8 - 95*z/8 + 225/4.
(z - 90)*(z - 5)/8
Factor -r**5 + 13*r**4 - 35*r**3 - 49*r**2.
-r**2*(r - 7)**2*(r + 1)
Solve 4*w**2/3 + 40*w/3 - 224/3 = 0 for w.
-14, 4
Suppose 9*v**5 + 156*v**4 + 456*v**3 + 522*v**2 + 255*v + 42 = 0. What is v?
-14, -1, -1/3
Factor f**4/5 + 13*f**3/5 + 32*f**2/5 + 4*f.
f*(f + 1)*(f + 2)*(f + 10)/5
Solve u**2/4 - 8*u = 0 for u.
0, 32
Suppose -m**4/6 - 6*m**3 - 74*m**2/3 + 528*m - 3872/3 = 0. What is m?
-22, 4
Let -5*j**3 - 45*j**2 + 905*j - 855 = 0. Calculate j.
-19, 1, 9
Solve -5*h**2 - 120*h + 405 = 0 for h.
-27, 3
Factor -5*r**2 - 2580*r - 332820.
-5*(r + 258)**2
What is k in k**3 - 37*k**2 - 176*k + 492 = 0?
-6, 2, 41
Let 3*k**4 - 30*k**3 + 60*k**2 + 30*k - 63 = 0. Calculate k.
-1, 1, 3, 7
Suppose -2*x**3 - 498*x**2 + 2*x + 498 = 0. Calculate x.
-249, -1, 1
Factor 6*s**2/7 + 200*s/7 - 576/7.
2*(s + 36)*(3*s - 8)/7
Factor -u**2/3 + 32*u + 2596/3.
-(u - 118)*(u + 22)/3
Factor -2*k**2/3 + 6*k - 16/3.
-2*(k - 8)*(k - 1)/3
Factor i**2/3 + 26*i/3.
i*(i + 26)/3
Determine w, given that 2*w**2 + 44*w - 208 = 0.
-26, 4
Factor -15*r**3 + 144*r**2 + 645*r + 234.
-3*(r - 13)*(r + 3)*(5*r + 2)
Determine z, given that -3*z**5/4 - 177*z**4/4 - 2325*z**3/4 + 8637*z**2/4 - 186*z - 2883 = 0.
-31, -1, 2
Solve -3*f**4/2 - 20*f**3 - 69*f**2/2 + 216*f - 160 = 0 for f.
-8, 1, 5/3
Factor k**4 + 34*k**3 + 32*k**2 - 34*k - 33.
(k - 1)*(k + 1)**2*(k + 33)
Factor -2*l**4 - 2064*l**3 - 532512*l**2.
-2*l**2*(l + 516)**2
Factor -5*i**2 + 1765*i + 3550.
-5*(i - 355)*(i + 2)
Factor 3*y**2 + 39*y - 42.
3*(y - 1)*(y + 14)
Determine v so that 6*v**3 - 633*v**2 + 1551*v - 618 = 0.
1/2, 2, 103
Factor 2*o**4/7 - 88*o**2/7 - 288*o/7 - 256/7.
2*(o - 8)*(o + 2)**2*(o + 4)/7
Suppose 7*m**3/6 - 283*m**2/2 - 740*m/3 + 82 = 0. What is m?
-2, 2/7, 123
Let -k**2 + 6*k - 5 = 0. Calculate k.
1, 5
Factor z**4 + 272*z**3 + 1076*z**2 + 1072*z.
z*(z + 2)**2*(z + 268)
Suppose -39*r**5 + 159*r**4 - 246*r**3 + 174*r**2 - 51*r + 3 = 0. What is r?
1/13, 1
Solve -784*s**4 - 728*s**3 + 55*s**2 - s = 0.
-1, 0, 1/28
Let 2*r**3 + 18*r**2 - 216 = 0. Calculate r.
-6, 3
Suppose 5*v**4 - 10570*v**3 + 5575665*v**2 + 11183060*v + 5596820 = 0. What is v?
-1, 1058
Let -x**3/9 - 92*x**2/9 + x/9 + 92/9 = 0. What is x?
-92, -1, 1
Factor 2*h**2/3 - 6124*h/3 + 4687922/3.
2*(h - 1531)**2/3
Suppose 4*g**4/3 - 4162*g**3/3 + 361226*g**2 - 538720*g/3 - 540800/3 = 0. What is g?
-1/2, 1, 520
Determine k so that k**3/3 - 275*k**2/2 + 411*k/2 = 0.
0, 3/2, 411
Determine g, given that 188*g**4 - 8*g**3 - 564*g**2 - 352*g + 16 = 0.
-1, 2/47, 2
Factor -3*n**3 + 309*n**2 + 318*n - 624.
-3*(n - 104)*(n - 1)*(n + 2)
Factor 5*k**2 - 670*k - 1360.
5*(k - 136)*(k + 2)
Find o, given that 2*o**3/15 - 1718*o**2/5 + 1105962*o/5 + 3323042/15 = 0.
-1, 1289
Let v**3 + 4*v**2 - 20*v - 48 = 0. What is v?
-6, -2, 4
Let s**4 + 44*s**3 + 483*s**2 - 44*s - 484 = 0. What is s?
-22, -1, 1
Suppose -j**5/8 + j**4/2 - 3*j**3/8 = 0. Calculate j.
0, 1, 3
Suppose 15*p**5 - 10*p**4 - 15*p**3 + 10*p**2 = 0. Calculate p.
-1, 0, 2/3, 1
Factor -c**2/3 - 10*c/3 + 32.
-(c - 6)*(c + 16)/3
Factor -m**2/6 - 37*m/6 - 22.
-(m + 4)*(m + 33)/6
Find d such that d**3 - 19*d**2 + 35*d - 17 = 0.
1, 17
Factor -v**4 - 105*v**3 - 2903*v**2 - 7395*v + 10404.
-(v - 1)*(v + 4)*(v + 51)**2
Suppose 4*i**5/7 - 20*i**4/7 + 4*i**3/7 + 52*i**2/7 - 8*i/7 - 32/7 = 0. Calculate i.
-1, 1, 2, 4
Factor t**2 - 46*t + 529.
(t - 23)**2
Solve -3*t**4/5 + 13*t**3/5 + 11*t**2/5 - t = 0 for t.
-1, 0, 1/3, 5
Find v, given that 5*v**4 + 285*v**3 + 5280*v**2 + 32000*v = 0.
-25, -16, 0
Factor -3*g**4 + 12*g**3 - 18*g**2 + 12*g - 3.
-3*(g - 1)**4
Find k such that 5*k**4 + 215*k**3 - 5*k**2 - 215*k = 0.
-43, -1, 0, 1
Solve 5*x**4 