3*v - 1)**2/3
Solve 8*z**3 + 19456*z**2 + 19450*z + 4862 = 0 for z.
-2431, -1/2
Factor -36*m**4 + 39*m**3 - 3*m**2.
-3*m**2*(m - 1)*(12*m - 1)
Factor -i**4/2 + 1119*i**3/2 + 3363*i**2/2 + 3365*i/2 + 561.
-(i - 1122)*(i + 1)**3/2
Factor -3*x**2/2 - 1161*x/2.
-3*x*(x + 387)/2
Solve 2*i**2 - 20*i + 32 = 0.
2, 8
Factor -s**2 - 33*s - 32.
-(s + 1)*(s + 32)
Factor -2*t**3 + 51*t**2 - 193*t + 84.
-(t - 21)*(t - 4)*(2*t - 1)
Determine q so that -2*q**3 + 22*q**2 + 52*q = 0.
-2, 0, 13
Factor 2*i**5/9 + 104*i**4/9 + 1450*i**3/9 + 2500*i**2/9.
2*i**2*(i + 2)*(i + 25)**2/9
Factor c**4/4 - 3*c**3/2 + 13*c**2/4 - 3*c + 1.
(c - 2)**2*(c - 1)**2/4
Determine r so that -3*r**3/4 + 147*r**2/4 - 588*r + 3087 = 0.
14, 21
Factor -2*y**2 + 806*y - 1604.
-2*(y - 401)*(y - 2)
Let m**3 - 89*m**2/3 + 169*m/3 - 83/3 = 0. What is m?
1, 83/3
Factor 2*m**2/7 + 14*m - 100/7.
2*(m - 1)*(m + 50)/7
Let -n**5 - 2*n**4 + 6*n**3 + 4*n**2 - 13*n + 6 = 0. Calculate n.
-3, -2, 1
Solve 3*w**4/5 + 21*w**3/5 + 24*w**2/5 - 48*w/5 = 0 for w.
-4, 0, 1
Solve 2*b**4/15 - 792*b**3/5 + 2372*b**2/5 - 7112*b/15 + 158 = 0.
1, 1185
Determine a so that 3*a**3/4 - 351*a/4 - 243 = 0.
-9, -3, 12
Suppose 3*b**3/5 + 372*b**2/5 + 369*b/5 = 0. What is b?
-123, -1, 0
Let 5*g**5 - 345*g**4 + 9010*g**3 - 106930*g**2 + 515865*g - 417605 = 0. What is g?
1, 17
Factor -6*t**3/5 + 276*t**2/5 - 3174*t/5.
-6*t*(t - 23)**2/5
Determine j so that 2*j**2/9 + 68*j/9 - 74/3 = 0.
-37, 3
Suppose -y**3/3 - 5*y**2/3 - 7*y/3 - 1 = 0. What is y?
-3, -1
Factor -5*d**4/2 - 235*d**3 - 1980*d**2 - 5805*d - 11475/2.
-5*(d + 3)**3*(d + 85)/2
Factor -3*j**2 + 1092*j.
-3*j*(j - 364)
Factor -15*b**3 + 1452*b**2 - 35712*b + 27648.
-3*(b - 48)**2*(5*b - 4)
Find k, given that 3*k**2 - 309*k - 954 = 0.
-3, 106
Let 3*k**4 + 45*k**3 + 108*k**2 = 0. What is k?
-12, -3, 0
Determine r so that 2*r**5/5 + 8*r**4 + 306*r**3/5 + 1116*r**2/5 + 1944*r/5 + 1296/5 = 0.
-6, -3, -2
Factor -i**3/3 - 13*i**2/3 - 32*i/3 - 20/3.
-(i + 1)*(i + 2)*(i + 10)/3
Let -20*t**4/7 - 316*t**3/7 - 496*t**2/7 + 16*t = 0. What is t?
-14, -2, 0, 1/5
Factor -g**2/11 + 38*g/11 + 80/11.
-(g - 40)*(g + 2)/11
Find y, given that 11*y**3/5 - 1014*y**2/5 + 184*y/5 = 0.
0, 2/11, 92
Let 3*w**3/7 - 3*w**2 - 24*w/7 = 0. What is w?
-1, 0, 8
Solve 4*w**3 - 1524*w**2 + 144396*w + 145924 = 0.
-1, 191
Factor s**2 + 130*s - 131.
(s - 1)*(s + 131)
Let -a**5/5 + 28*a**4/5 + 18*a**3 + 92*a**2/5 + 31*a/5 = 0. What is a?
-1, 0, 31
Find t such that 81*t**5 + 1260*t**4 + 6232*t**3 + 8704*t**2 - 4848*t + 576 = 0.
-6, -4, 2/9
Solve 5*g**4 + 10*g**3 - 100*g**2 - 330*g - 225 = 0 for g.
-3, -1, 5
Find w, given that 2*w**4/17 + 58*w**3/17 - 254*w**2/17 + 326*w/17 - 132/17 = 0.
-33, 1, 2
Factor 40*y**3/11 + 2*y**2/11.
2*y**2*(20*y + 1)/11
Factor -5*m**3 - 245*m**2 - 470*m.
-5*m*(m + 2)*(m + 47)
Find d, given that 363*d**3/7 - 198*d**2/7 - 864*d/7 - 384/7 = 0.
-8/11, 2
Factor 2*m**4/7 + 4*m**3/7 - 2*m**2 + 8*m/7.
2*m*(m - 1)**2*(m + 4)/7
Find v such that -v**2/6 - v/6 + 2 = 0.
-4, 3
Suppose 2*d**5/7 + 2*d**4/7 - 6*d**3/7 - 10*d**2/7 - 4*d/7 = 0. What is d?
-1, 0, 2
Solve 5*i**5/3 + 11*i**4 - 49*i**3/3 - 87*i**2 - 100*i/3 + 28 = 0.
-7, -2, -1, 2/5, 3
Factor -o**4/4 - 477*o**3/4 + 480*o**2 - 481*o.
-o*(o - 2)**2*(o + 481)/4
Suppose -x**5/2 - 22*x**4 - 481*x**3/2 + 65*x**2 + 682*x - 484 = 0. Calculate x.
-22, -2, 1
Suppose -3*d**2/2 - 15*d/2 + 21 = 0. Calculate d.
-7, 2
Let -q**2/3 + 8*q/3 + 65/3 = 0. What is q?
-5, 13
Suppose 5*j**3/4 - 1545*j**2/4 + 159135*j/4 - 5463635/4 = 0. Calculate j.
103
What is d in -6*d**5 - 83*d**4/2 - 28*d**3 + 71*d**2/2 + 34*d + 6 = 0?
-6, -1, -2/3, -1/4, 1
Find q, given that -5*q**2 + 570*q - 3240 = 0.
6, 108
Factor -3*w**3 + 1071*w**2 - 127449*w + 5055477.
-3*(w - 119)**3
Suppose -z**5/6 + 5*z**4/3 - 29*z**3/6 + 16*z**2/3 - 2*z = 0. What is z?
0, 1, 2, 6
Solve 45*j**5 + 165*j**4 - 1720*j**3 + 3640*j**2 - 2800*j + 720 = 0 for j.
-9, 2/3, 2
Find y, given that -y**2/2 + 43*y/2 - 21 = 0.
1, 42
Factor 5*u**3 - 33*u**2 - 54*u - 16.
(u - 8)*(u + 1)*(5*u + 2)
Suppose -3*g**4 + 408*g**3 + 831*g**2 - 408*g - 828 = 0. What is g?
-2, -1, 1, 138
Factor 3*j**2 + 450*j + 888.
3*(j + 2)*(j + 148)
Find x such that 5*x**2 + 13840*x + 9577280 = 0.
-1384
Factor j**3/2 - 6*j**2 + 27*j/2.
j*(j - 9)*(j - 3)/2
Factor q**5/2 - 3*q**4/2 - 9*q**3/2 - 5*q**2/2.
q**2*(q - 5)*(q + 1)**2/2
Find c such that 5*c**2 + 315*c = 0.
-63, 0
Suppose n**3/5 - 30*n**2 + 5772*n/5 - 10952/5 = 0. What is n?
2, 74
Find s, given that 2*s**2/13 + 248*s/13 - 504/13 = 0.
-126, 2
Find j such that -2*j**5/3 - 556*j**4/3 - 552*j**3 - 1652*j**2/3 - 550*j/3 = 0.
-275, -1, 0
Factor -s**3/9 + 16*s**2/3 - 179*s/9 + 44/3.
-(s - 44)*(s - 3)*(s - 1)/9
Solve -4*p**5 - 140*p**4 - 1336*p**3 - 4496*p**2 - 6112*p - 2816 = 0.
-22, -8, -2, -1
What is a in -81*a**5 + 405*a**4 - 594*a**3 + 348*a**2 - 72*a = 0?
0, 2/3, 3
Find i, given that 12*i**4 + 92*i**3 - 44*i**2 - 92*i + 32 = 0.
-8, -1, 1/3, 1
Factor -3*p**2/8 + 837*p/2 - 233523/2.
-3*(p - 558)**2/8
Factor 5*s**3 + 235*s**2 + 3655*s + 18785.
5*(s + 13)*(s + 17)**2
Factor s**4/9 + 97*s**3/9 + 2270*s**2/9 + 14528*s/9 - 5632/3.
(s - 1)*(s + 16)**2*(s + 66)/9
Factor 3*f**4 + 300*f**3 + 6876*f**2 - 31200*f + 32448.
3*(f - 2)**2*(f + 52)**2
Factor -3*a**3/2 - 147*a**2 + 903*a/2 - 303.
-3*(a - 2)*(a - 1)*(a + 101)/2
Suppose 2*w**3/11 - 178*w**2/11 - 370*w/11 + 546/11 = 0. What is w?
-3, 1, 91
Solve 2*z**4 + 28*z**3 - 459*z**2/2 + 415*z/2 - 50 = 0.
-20, 1/2, 5
What is p in 5*p**3 - 40*p**2 = 0?
0, 8
Factor 5*y**4/2 + 5*y**3/2 - 5*y**2/2 - 5*y/2.
5*y*(y - 1)*(y + 1)**2/2
Factor 4*w**4 - 68*w**3 - 4*w**2 + 68*w.
4*w*(w - 17)*(w - 1)*(w + 1)
Let -u**5/9 - 5*u**4/9 - 8*u**3/9 - 4*u**2/9 = 0. Calculate u.
-2, -1, 0
Suppose -f**4 + 29*f**3 + 327*f**2 + 563*f + 266 = 0. What is f?
-7, -1, 38
Solve -2*p**4/7 + 20*p**3/7 + 54*p**2/7 - 608*p/7 - 640/7 = 0.
-5, -1, 8
Find j, given that -3*j**5 - 81*j**4 - 585*j**3 - 507*j**2 = 0.
-13, -1, 0
Find j, given that j**2/4 - 97*j/2 + 9409/4 = 0.
97
Solve -f**3/4 + 5*f**2/4 - f = 0.
0, 1, 4
Factor 3*b**3 + 267*b**2 + 525*b + 261.
3*(b + 1)**2*(b + 87)
Suppose -2*s**5/5 + 14*s**4/5 - 14*s**3/5 - 6*s**2 = 0. Calculate s.
-1, 0, 3, 5
Determine p so that -29*p**3 - 25*p**2 + 62*p - 8 = 0.
-2, 4/29, 1
Suppose 6*z**2 - 74*z - 172 = 0. What is z?
-2, 43/3
Factor -3*m**2/7 - 45*m/7.
-3*m*(m + 15)/7
Find z such that 3*z**4 + 114*z**3 + 75*z**2 - 1332*z = 0.
-37, -4, 0, 3
Determine r so that -r**3/10 - 801*r**2/10 - 1596*r/5 - 1594/5 = 0.
-797, -2
Find p, given that 3*p**4/11 - 5*p**3/11 - 17*p**2/11 + 13*p/11 + 6/11 = 0.
-2, -1/3, 1, 3
Factor -3*r**5/8 - 3*r**4/8 + 3*r**3/4 + 3*r**2/4 - 3*r/8 - 3/8.
-3*(r - 1)**2*(r + 1)**3/8
Factor -14*j**3 + 2106*j**2 + 8448*j/7 + 1208/7.
-2*(j - 151)*(7*j + 2)**2/7
Factor w**4 - 3*w**3 + w**2 + 3*w - 2.
(w - 2)*(w - 1)**2*(w + 1)
Factor 13*x**3/2 + 46*x**2 + 137*x/2 + 5.
(x + 2)*(x + 5)*(13*x + 1)/2
Suppose 2*n**4 + 60*n**3 + 416*n**2 - 60*n - 418 = 0. What is n?
-19, -11, -1, 1
Factor -4*t**3 + 128*t**2 + 272*t.
-4*t*(t - 34)*(t + 2)
Factor -3*u**4/5 - 9*u**3/5 - 9*u**2/5 - 3*u/5.
-3*u*(u + 1)**3/5
Factor 3*j**3/5 + 84*j**2/5 + 231*j/5 + 30.
3*(j + 1)*(j + 2)*(j + 25)/5
Factor -y**3 - 112*y**2 - 3348*y - 11664.
-(y + 4)*(y + 54)**2
Factor -q**2/5 - 5*q + 26/5.
-(q - 1)*(q + 26)/5
Suppose 2*x**3/7 + 36*x**2/7 - 2*x/7 - 36/7 = 0. What is x?
-18, -1, 1
Determine d, given that 9*d**5/7 - 18*d**4/7 - 25*d**3/7 + 30*d**2/7 + 36*d/7 + 8/7 = 0.
-1, -2/3, -1/3, 2
Factor -2*z**3/15 + 76*z**2/5 - 226*z/15.
-2*z*(z - 113)*(z - 1)/15
Suppose -o**3/3 + 23*o**2/3 = 0. What is o?
0, 23
Let 2*a**5/9 - 14*a**4/9 - 2*a**3/9 + 86*a**2/9 - 8 = 0. Calculate a.
-2, -1, 1, 3, 6
Factor 2*f**2 - 4780*f + 2856050.
2*(f - 1195)**2
Let v**2/5 - 1688*v/5 + 712336/5 = 0. What is v?
844
Suppose n**4/2 - 4*n**3 - 3*n**2/2 + 13*n - 8 = 0. Calculate n.
-2, 1, 8
Factor -l**3/2 - 51*l**2/2 - 675*l/2 - 625/2.
-(l + 1)*(l + 25)**2/2
Factor -20*d**4 + 65*d**3 - 15*d**2.
-5*d**2*(d - 3)*(4*d - 1)
Solve j**2 - 832*j + 173056 = 0 for j.
416
Factor -3*m**3/7 + 33*m**2/7 - 54*m/7.
-3*m*(m - 9)*(m - 2)/7
Solve 100*d**5 + 80*d**4 - 304*d**3 - 8*d**2 + 204*d - 72 = 0 for d.
-2, -1, 3/5, 1
Find n, given that -6*n**3 - 136*n**2 + 346*n - 100 = 0.
-25, 1/3, 2
Factor 3*b**2 + 3900*b - 