4*a**3/3 - 38*a**2/3 + 8*a = 0.
0, 1, 12/7
Determine y so that y**2/3 + 17*y/3 - 28 = 0.
-21, 4
Factor 3*v**3 + 82*v**2 + 27*v.
v*(v + 27)*(3*v + 1)
Let -b**4/6 + 25*b**3/3 - 455*b**2/6 - 25*b/3 + 76 = 0. What is b?
-1, 1, 12, 38
Suppose -6*g**4/11 + 10*g**3/11 - 2*g**2/11 - 2*g/11 = 0. What is g?
-1/3, 0, 1
Solve 6*z**2/5 - 12*z/5 - 144/5 = 0.
-4, 6
Factor -4*h**2 - 2624*h - 430336.
-4*(h + 328)**2
Solve -4*u**3 + 140*u**2 + 456*u = 0 for u.
-3, 0, 38
Let -2*g**2/7 + 8728*g/7 - 9522248/7 = 0. Calculate g.
2182
Factor -k**3/3 + 7*k**2/3 - 8*k/3 - 16/3.
-(k - 4)**2*(k + 1)/3
Factor 3*t**4/4 + 15*t**3/2 + 21*t**2/4 - 27*t/2.
3*t*(t - 1)*(t + 2)*(t + 9)/4
Factor -2*r**5 + 8*r**4 + 4*r**3 - 24*r**2 - 18*r.
-2*r*(r - 3)**2*(r + 1)**2
Find i such that 3*i**3/2 + 15*i**2 + 27*i/2 = 0.
-9, -1, 0
Determine j, given that -3*j**2 + 45*j = 0.
0, 15
Determine w, given that 5*w**5/3 - 14*w**4 + 101*w**3/3 - 28*w**2 + 20*w/3 = 0.
0, 2/5, 1, 2, 5
Factor 2*n**3/7 + 12*n**2/7 - 2*n.
2*n*(n - 1)*(n + 7)/7
Factor 3*c**4 - 1302*c**3 + 142563*c**2 - 281232*c + 139968.
3*(c - 216)**2*(c - 1)**2
Solve 68*p**5 - 1080*p**4 + 1436*p**3 + 23304*p**2 + 23120*p + 2400 = 0.
-3, -1, -2/17, 10
Determine z, given that -z**2/2 - 95*z/2 + 48 = 0.
-96, 1
Factor -5*u**3/2 + 50*u**2 - 85*u/2 - 95.
-5*(u - 19)*(u - 2)*(u + 1)/2
Factor 4*d**4 - 316*d**3 - 3072*d**2 - 8384*d - 5632.
4*(d - 88)*(d + 1)*(d + 4)**2
Let 5*k**5 + 5*k**4 - 35*k**3 - 65*k**2 - 30*k = 0. Calculate k.
-2, -1, 0, 3
Factor 12*d**2/5 + 1593*d/5 - 399/5.
3*(d + 133)*(4*d - 1)/5
Suppose -2*y**4/5 + 26*y**3/5 - 58*y**2/5 - 26*y/5 + 12 = 0. Calculate y.
-1, 1, 3, 10
Suppose 10*p**4 - 32*p**3 + 6*p**2 + 40*p - 8 = 0. What is p?
-1, 1/5, 2
Let 3*w**2/8 + 327*w/4 + 1935/8 = 0. What is w?
-215, -3
Determine b, given that 52*b**4 + 420*b**3 + 1124*b**2 + 1020*b + 72 = 0.
-3, -2, -1/13
Solve j**4/5 - 15*j**3 + 73*j**2/5 + 15*j - 74/5 = 0.
-1, 1, 74
Find g such that g**3/6 + g**2/3 - g/6 - 1/3 = 0.
-2, -1, 1
Solve 2*j**4 - 6478*j**3/3 - 2164*j**2/3 + 1440*j = 0 for j.
-1, 0, 2/3, 1080
Factor g**5/3 + 20*g**4/3 + 154*g**3/3 + 560*g**2/3 + 925*g/3 + 500/3.
(g + 1)*(g + 4)*(g + 5)**3/3
Find n such that 6*n**5/5 - 36*n**4/5 + 48*n**3/5 + 36*n**2/5 - 54*n/5 = 0.
-1, 0, 1, 3
Find h such that -2*h**4/5 + 12*h**3/5 + 54*h**2/5 = 0.
-3, 0, 9
Factor -28*w**3/11 + 34*w**2/11 - 6*w/11.
-2*w*(w - 1)*(14*w - 3)/11
Factor a**5 + 4*a**4 - 62*a**3 + 156*a**2 - 99*a.
a*(a - 3)**2*(a - 1)*(a + 11)
Factor -2*h**2/15 - 8*h/15 + 64/15.
-2*(h - 4)*(h + 8)/15
Determine m, given that -5*m**2 + 33670*m - 56683445 = 0.
3367
Factor -3*b**3 - 1692*b**2 - 236871*b + 480534.
-3*(b - 2)*(b + 283)**2
Find z, given that -180*z**3 - 60*z**2 - 5*z = 0.
-1/6, 0
Determine i so that 3*i**5 - 12*i**4 + 9*i**3 = 0.
0, 1, 3
Find w such that -2*w**5 - 12*w**4 - 4*w**3 + 72*w**2 + 54*w - 108 = 0.
-3, 1, 2
Factor -5*c**3 + 1780*c**2 - 147200*c - 2031360.
-5*(c - 184)**2*(c + 12)
Factor 2*u**2/5 - 62*u/5.
2*u*(u - 31)/5
Solve -2*g**5/5 - 4*g**4 + 4*g**3/5 + 8*g**2 - 2*g/5 - 4 = 0 for g.
-10, -1, 1
Let -9*d**2/4 + 1347*d/4 + 225/2 = 0. Calculate d.
-1/3, 150
Determine f so that -4*f**3 + 232*f**2 - 228*f = 0.
0, 1, 57
Factor l**3/3 + 13*l**2 - 8788/3.
(l - 13)*(l + 26)**2/3
Factor w**4/3 - 2*w**3/3 - 21*w**2 + 128*w/3 - 64/3.
(w - 8)*(w - 1)**2*(w + 8)/3
Factor 3*w**3/8 + 141*w**2/8.
3*w**2*(w + 47)/8
Let -2*s**2/3 + 92*s + 560/3 = 0. Calculate s.
-2, 140
Determine p so that 4*p**5 + 28*p**4 + 8*p**3 - 160*p**2 = 0.
-5, -4, 0, 2
Determine b, given that 6*b**2/11 - 1884*b/11 + 147894/11 = 0.
157
Factor 20*j**3 - 72*j**2 - 1572*j - 616.
4*(j - 11)*(j + 7)*(5*j + 2)
Determine v, given that 2*v**4/3 + 38*v**3/3 + 100*v**2/3 + 64*v/3 = 0.
-16, -2, -1, 0
Determine j so that -2*j**2 - 306*j - 604 = 0.
-151, -2
Factor -3*w**2/5 + 12/5.
-3*(w - 2)*(w + 2)/5
Determine g, given that 3*g**3/2 + 1689*g**2/8 - 2127*g/8 + 213/4 = 0.
-142, 1/4, 1
Factor y**3/3 - 19*y**2/3 - 116*y/3 - 32.
(y - 24)*(y + 1)*(y + 4)/3
Suppose -5*c**5 + 1630*c**4 - 131185*c**3 - 273880*c**2 + 403440*c = 0. What is c?
-3, 0, 1, 164
Solve 2*y**5/7 + 150*y**4/7 + 436*y**3/7 + 288*y**2/7 = 0.
-72, -2, -1, 0
Let 4*h**5 - 68*h**4 - 20*h**3 + 340*h**2 + 16*h - 272 = 0. What is h?
-2, -1, 1, 2, 17
Solve -16*q**5/5 - 24*q**4/5 + 23*q**3/5 + 3*q**2 + 2*q/5 = 0.
-2, -1/4, 0, 1
Suppose 9*d**3/7 + 48*d**2 + 435*d/7 + 108/7 = 0. What is d?
-36, -1, -1/3
Factor 2*r**2 - 164*r + 474.
2*(r - 79)*(r - 3)
Determine r so that -4*r**2 + 148*r = 0.
0, 37
Factor c**2/4 + 3*c.
c*(c + 12)/4
Solve 2*a**4/5 + 37*a**3 + 126*a**2 + 125*a + 178/5 = 0.
-89, -2, -1, -1/2
Factor -5*r**3/4 + r**2/4 + 5*r/4 - 1/4.
-(r - 1)*(r + 1)*(5*r - 1)/4
Find a, given that -2*a**4/7 - 38*a**3/7 - 174*a**2/7 - 234*a/7 = 0.
-13, -3, 0
Factor j**2/2 + 188*j + 17672.
(j + 188)**2/2
Solve 2*u**3 + 368*u**2 + 17290*u + 33124 = 0.
-91, -2
Find j, given that -4*j**3 - 364*j**2/3 - 40*j = 0.
-30, -1/3, 0
Suppose -3*d**5 + 18*d**4 - 6*d**3 - 48*d**2 + 9*d + 30 = 0. What is d?
-1, 1, 2, 5
Factor -g**5/6 + 11*g**4/6 - 8*g**3 + 52*g**2/3 - 56*g/3 + 8.
-(g - 3)*(g - 2)**4/6
Let -n**3 + 171*n**2 - 9747*n + 185193 = 0. Calculate n.
57
What is o in 14*o**5/3 + 2890*o**4/3 + 12604*o**3/3 + 16184*o**2/3 + 1616*o = 0?
-202, -2, -3/7, 0
Factor -5*x**2 + 650*x - 645.
-5*(x - 129)*(x - 1)
Let 4*t**5 - 376*t**4 - 768*t**3 - 8*t**2 + 764*t + 384 = 0. What is t?
-1, 1, 96
Find j such that -j**2 + 35*j - 234 = 0.
9, 26
Suppose -20*l**5 - 72*l**4 + 92*l**3 + 176*l**2 - 240*l + 64 = 0. Calculate l.
-4, -2, 2/5, 1
Solve -x**3 - 334*x**2 - 995*x - 662 = 0 for x.
-331, -2, -1
Factor q**2/8 + 311*q/8 - 313/4.
(q - 2)*(q + 313)/8
Factor -3*v**2/5 + 99*v/5.
-3*v*(v - 33)/5
Factor -s**2/10 - 104*s/5 + 2409/10.
-(s - 11)*(s + 219)/10
Factor 4*k**2/5 + 164*k/5 + 32.
4*(k + 1)*(k + 40)/5
Suppose -q**3 - 10*q**2 - 16*q = 0. What is q?
-8, -2, 0
Factor -4*j**3 - 880*j**2 + 9100*j - 23000.
-4*(j - 5)**2*(j + 230)
Let -2*q**2 + 3540*q - 1566450 = 0. What is q?
885
Suppose 5*s**5 + 347*s**4/3 - 230*s**3 + 254*s**2/3 + 33*s - 25/3 = 0. What is s?
-25, -1/3, 1/5, 1
Find k, given that -4*k**3 + 112*k**2 + 844*k - 952 = 0.
-7, 1, 34
Factor 3*f**3 - 12*f**2.
3*f**2*(f - 4)
Factor -2*y**4/5 + 2*y**3/5 + 16*y**2/5 - 24*y/5.
-2*y*(y - 2)**2*(y + 3)/5
Suppose -5*o**3 + 5620*o**2 + 22540*o + 22560 = 0. Calculate o.
-2, 1128
Solve 5*a**4 + 55*a**3 + 135*a**2 - 55*a - 140 = 0.
-7, -4, -1, 1
Suppose -2*v**3 - 584*v**2/7 + 200*v - 352/7 = 0. Calculate v.
-44, 2/7, 2
Suppose 2*k**3/5 - 178*k**2/5 - 2352*k/5 - 7272/5 = 0. Calculate k.
-6, 101
Find r such that -r**2 + 2019*r = 0.
0, 2019
Factor 2*p**2/5 + 58*p/5 - 12.
2*(p - 1)*(p + 30)/5
Factor -j**2/3 + 2*j + 40/3.
-(j - 10)*(j + 4)/3
Factor -3*o**5 - 78*o**4 + 168*o**3 - 6*o**2 - 165*o + 84.
-3*(o - 1)**3*(o + 1)*(o + 28)
Solve -2*n**4/9 + 43*n**3/9 - 17*n**2/9 - 29*n/3 + 7 = 0 for n.
-3/2, 1, 21
Factor 5*d**2 + 125*d - 6630.
5*(d - 26)*(d + 51)
Factor 2*f**2/7 - 2928*f/7 + 1071648/7.
2*(f - 732)**2/7
Find r such that 3*r**5/4 + 9*r**4 + 87*r**3/4 - 63*r**2/2 = 0.
-7, -6, 0, 1
Find r, given that 2*r**4 + 4932*r**3 + 3040578*r**2 = 0.
-1233, 0
Factor -4*q**3 + 272*q**2 - 4624*q.
-4*q*(q - 34)**2
Determine d so that 9*d**5/5 + 6*d**4 - 18*d**3 - 12*d**2 + 81*d/5 + 6 = 0.
-5, -1, -1/3, 1, 2
Solve h**2 - 12*h + 27 = 0 for h.
3, 9
Factor -o**4/4 + 4*o**3 + 27*o**2/2 + 14*o + 19/4.
-(o - 19)*(o + 1)**3/4
Suppose 2*l**5/9 - 10*l**4/3 + 98*l**3/9 - 38*l**2/3 + 44*l/9 = 0. What is l?
0, 1, 2, 11
Factor 16*w**3 + 212*w**2 - 172*w - 56.
4*(w - 1)*(w + 14)*(4*w + 1)
Solve 4*i**3 - 284*i**2 - 4*i + 284 = 0.
-1, 1, 71
Factor 3*n**4/2 - 57*n**3/2 + 153*n**2/2 - 147*n/2 + 24.
3*(n - 16)*(n - 1)**3/2
Solve 3*n**5 - 3*n**4 - 39*n**3 + 3*n**2 + 144*n + 108 = 0.
-2, -1, 3
Find g such that -75*g**5 - 435*g**4 - 537*g**3 + 435*g**2 + 504*g + 108 = 0.
-3, -2/5, 1
Let -3*n**5/4 + 87*n**4/2 - 315*n**3/2 - 246*n**2 + 633*n/4 + 405/2 = 0. What is n?
-1, 1, 5, 54
Factor 2*u**3/9 - 10*u**2/3 + 32*u/3 - 88/9.
2*(u - 11)*(u - 2)**2/9
Factor -x**5 - 3*x**4 + 261*x**3 + 1215*x**2 - 17496*x - 104976.
-(x - 12)**2*(x + 9)**3
What is a in 2*a**5 + 26*a**4 + 64*a**3 + 40*a**2 = 0?
-10, -2, -1, 0
Suppose -255*l**5 - 140*l**4 + 275*l**3 + 140*l**2 - 20*l = 0. Calculate l.
-1, -2/3, 0, 2/17, 1
