+ 96 = 0. Calculate x.
-2, 4
Factor -2*w**2/7 + 72*w/7 + 74/7.
-2*(w - 37)*(w + 1)/7
Factor -2*w**2 - 30*w + 1188.
-2*(w - 18)*(w + 33)
Determine u so that -u**4 - 177*u**3 + 1280*u**2 - 1488*u - 2944 = 0.
-184, -1, 4
Determine u so that -u**3 + u**2 + 2*u = 0.
-1, 0, 2
Suppose 2*n**4/5 + 326*n**3/5 + 2926*n**2 + 106722*n/5 = 0. What is n?
-77, -9, 0
Solve 3*l**3/8 + 459*l**2/8 - 234*l + 471/2 = 0 for l.
-157, 2
Suppose -4*l**5 - 1382*l**4 - 179568*l**3 - 10443152*l**2 - 234068608*l - 328204896 = 0. What is l?
-86, -3/2
Factor 7*t**2/6 - 911*t/3 + 605/2.
(t - 1)*(7*t - 1815)/6
Solve 2*b**2/3 + 4*b - 32/3 = 0.
-8, 2
Suppose -2*c**5 + 16*c**4 - 50*c**3 + 76*c**2 - 56*c + 16 = 0. What is c?
1, 2
Solve 3*q**5 - 27*q**4 + 42*q**3 + 102*q**2 - 45*q - 75 = 0 for q.
-1, 1, 5
Factor 2*x**2/9 + 128*x/9 + 190.
2*(x + 19)*(x + 45)/9
Let -35*a**3 + 75*a**2 = 0. What is a?
0, 15/7
Determine m, given that m**2/5 - 7068*m/5 + 12489156/5 = 0.
3534
Suppose -t**3 + 3*t**2 - 2*t = 0. What is t?
0, 1, 2
Factor 2*b**2/3 + 436*b/3 - 146.
2*(b - 1)*(b + 219)/3
Factor 16*z**4/5 + 812*z**3/5 + 13668*z**2/5 + 15028*z - 19652/5.
4*(z + 17)**3*(4*z - 1)/5
Solve 6*d**5 + 58*d**4/3 + 4*d**3 = 0 for d.
-3, -2/9, 0
Find g, given that -g**5/9 - 19*g**4/9 + 577*g**3/9 + 595*g**2/9 = 0.
-35, -1, 0, 17
Factor -3*j**3/8 + 741*j**2/2 - 92250*j + 363096.
-3*(j - 492)**2*(j - 4)/8
Let -2*x**4 - 8*x**3/3 + 4*x**2/3 + 8*x/3 + 2/3 = 0. Calculate x.
-1, -1/3, 1
Find v, given that -v**3/3 + 8*v**2/3 - 4*v = 0.
0, 2, 6
Factor z**2/2 - 17*z + 32.
(z - 32)*(z - 2)/2
What is h in 4*h**3/3 - 20*h**2/3 + 4*h + 12 = 0?
-1, 3
Let -k**4/5 - 4*k**3/5 + 2*k**2/5 + 12*k/5 - 9/5 = 0. Calculate k.
-3, 1
Find i such that 2*i**2/3 - 10*i = 0.
0, 15
Factor -4*y**3/5 + 8*y**2 - 36*y/5.
-4*y*(y - 9)*(y - 1)/5
Factor -2*o**2/15 + 628*o/15 + 1264/15.
-2*(o - 316)*(o + 2)/15
Suppose 4*y**5 + 8*y**4 - 12*y**3 - 32*y**2 - 16*y = 0. What is y?
-2, -1, 0, 2
Solve -5*b**3 - 690*b**2 + 45*b + 6210 = 0.
-138, -3, 3
Find u, given that -3*u**4/4 - 111*u**3/4 - 411*u**2/4 - 501*u/4 - 99/2 = 0.
-33, -2, -1
Find i such that -2*i**3/9 - 8*i**2/9 + 70*i/3 + 24 = 0.
-12, -1, 9
Factor 5*s**4 - 35*s**3 + 25*s**2 + 35*s - 30.
5*(s - 6)*(s - 1)**2*(s + 1)
Let 4*r**3 + 232*r**2 = 0. Calculate r.
-58, 0
Solve 3*x**2 + 1566*x + 1563 = 0.
-521, -1
Solve 4*r**5 - 104*r**4 + 192*r**3 + 8*r**2 - 196*r + 96 = 0 for r.
-1, 1, 24
Factor -5*z**5/4 - 45*z**4/4 - 75*z**3/4 + 125*z**2/4.
-5*z**2*(z - 1)*(z + 5)**2/4
Factor -m**4/3 + 22*m**3/3 - 89*m**2/3 + 68*m/3.
-m*(m - 17)*(m - 4)*(m - 1)/3
Factor 4*d**4 + 444*d**3 + 1308*d**2 + 1300*d + 432.
4*(d + 1)**3*(d + 108)
Factor -u**4/3 + 28*u**3 - 1763*u**2/3 - 28*u + 588.
-(u - 42)**2*(u - 1)*(u + 1)/3
Find t such that -2*t**4 - 18*t**3 + 8*t**2 + 312*t + 288 = 0.
-6, -1, 4
Suppose -24*d**4 + 4540*d**3 - 212804*d**2 - 179740*d - 36100 = 0. What is d?
-1/2, -1/3, 95
Suppose 4*q**3/9 + 20*q**2/9 - 72*q - 224 = 0. What is q?
-14, -3, 12
Factor -3*h**2/4 + 231*h/2 + 234.
-3*(h - 156)*(h + 2)/4
Factor -o**3/2 - 118*o**2 - 12669*o/2 + 75645.
-(o - 10)*(o + 123)**2/2
Let -12*q**4 + 39*q**3 + 3*q**2 - 39*q + 9 = 0. Calculate q.
-1, 1/4, 1, 3
Factor 4*u**3 + 648*u**2.
4*u**2*(u + 162)
Factor 12*c**3 - 52*c**2 - 208*c - 112.
4*(c - 7)*(c + 2)*(3*c + 2)
Determine l, given that -l**3/5 - 9*l**2/5 - 24*l/5 - 4 = 0.
-5, -2
Let 2*c**5/5 + 4*c**4 - 34*c**3/5 - 132*c**2/5 = 0. Calculate c.
-11, -2, 0, 3
Suppose 2*b**4 + 26*b**3 + 64*b**2 + 40*b = 0. What is b?
-10, -2, -1, 0
Factor -4*s**2 - 12*s.
-4*s*(s + 3)
Factor 4*p**3/5 - 8*p**2 + 32*p/5 + 256/5.
4*(p - 8)*(p - 4)*(p + 2)/5
Factor -5*m**5 + 150*m**4 - 1265*m**3 + 2100*m**2 - 980*m.
-5*m*(m - 14)**2*(m - 1)**2
Suppose 2*a**5/13 - 4*a**4/13 - 16*a**3/13 = 0. Calculate a.
-2, 0, 4
Suppose -3*h**4/4 - 3*h**3/2 + 27*h**2/4 + 3*h/2 - 6 = 0. What is h?
-4, -1, 1, 2
Factor 5*r**4/2 + 165*r**3 + 645*r**2/2 + 160*r.
5*r*(r + 1)**2*(r + 64)/2
Factor -4*k**4 + 256*k**3 - 980*k**2 + 1208*k - 480.
-4*(k - 60)*(k - 2)*(k - 1)**2
Factor d**5/5 - 10*d**4 + 173*d**3 - 1136*d**2 + 1792*d - 4096/5.
(d - 16)**3*(d - 1)**2/5
Suppose 9*b**3 + 273*b**2 + 1026*b + 312 = 0. What is b?
-26, -4, -1/3
Factor -4*s**3/7 - 48*s**2/7 + 484*s/7 - 912/7.
-4*(s - 4)*(s - 3)*(s + 19)/7
Suppose 3*d**3/4 - 13*d**2/4 - 5*d/2 = 0. What is d?
-2/3, 0, 5
Factor 5*r**3 + 440*r**2 - 895*r + 450.
5*(r - 1)**2*(r + 90)
Factor 3*b**2/2 + 81*b/2 - 42.
3*(b - 1)*(b + 28)/2
Let 25*y**2 + 1160*y + 460 = 0. What is y?
-46, -2/5
Determine v so that -10*v**5/7 - 52*v**4/7 + 160*v**3/7 + 244*v**2/7 + 6*v = 0.
-7, -1, -1/5, 0, 3
What is n in 5*n**4 + 35*n**3 - 60*n**2 - 140*n + 160 = 0?
-8, -2, 1, 2
Let 5*m**4 - 360*m**3 - 365*m**2 = 0. What is m?
-1, 0, 73
Solve x**4/5 - x**2 + 4/5 = 0 for x.
-2, -1, 1, 2
Solve -2*u**3 - 12*u**2 + 14*u = 0 for u.
-7, 0, 1
Let -3*q**3 + 72*q**2 + 3*q - 72 = 0. What is q?
-1, 1, 24
Solve -3*i**5/7 + 6*i**4 - 138*i**3/7 + 192*i**2/7 - 123*i/7 + 30/7 = 0.
1, 10
What is a in 3*a**5/5 - a**4 - a**3/5 + a**2 - 2*a/5 = 0?
-1, 0, 2/3, 1
Solve 5*v**2 + 325*v - 330 = 0.
-66, 1
Factor -3*t**3 + 2754*t**2 + 2763*t - 5514.
-3*(t - 919)*(t - 1)*(t + 2)
Let -k**2/2 - 32*k - 512 = 0. Calculate k.
-32
Determine q, given that 4*q**3 - 36*q**2 + 72*q = 0.
0, 3, 6
Factor -18*s**2/5 - 177*s - 147/5.
-3*(s + 49)*(6*s + 1)/5
Determine l, given that 2*l**2/9 - 700*l/9 + 61250/9 = 0.
175
Let -2*p**5 - 382*p**4 - 18430*p**3 - 18050*p**2 = 0. What is p?
-95, -1, 0
Factor s**3/4 - 21*s**2/2 - 87*s/4 - 11.
(s - 44)*(s + 1)**2/4
What is d in d**2 + 32*d = 0?
-32, 0
Let 3*b**3/2 - 15*b**2 - 3*b/2 + 15 = 0. Calculate b.
-1, 1, 10
Factor d**4/3 - 326*d**3/3 + 8856*d**2 + 326*d/3 - 26569/3.
(d - 163)**2*(d - 1)*(d + 1)/3
Solve 25*f**4 - 280*f**3 + 439*f**2 + 492*f + 108 = 0 for f.
-2/5, 3, 9
Let 4*s**2 - 16*s - 48 = 0. What is s?
-2, 6
Determine s so that 2*s**2/9 + 22*s/9 + 20/3 = 0.
-6, -5
Find p such that 3*p**4 + 3*p**3 - 12*p**2 - 12*p = 0.
-2, -1, 0, 2
Solve 10*k**3 - 1724*k**2 + 688*k = 0.
0, 2/5, 172
Factor 2*p**2 + 112*p - 232.
2*(p - 2)*(p + 58)
Factor o**3/4 - 8*o**2 + 325*o/4 - 507/2.
(o - 13)**2*(o - 6)/4
Factor -b**4/7 - 3*b**3/7 + b**2/7 + 3*b/7.
-b*(b - 1)*(b + 1)*(b + 3)/7
Solve 5*g**2 - 1470*g - 2960 = 0.
-2, 296
Factor -10*w**3 + 4896*w**2/7 - 12210*w - 700.
-2*(w - 35)**2*(35*w + 2)/7
What is o in 2*o**5/5 - 42*o**4/5 + 182*o**3/5 + 18*o**2/5 - 152*o + 120 = 0?
-2, 1, 2, 5, 15
Solve 10*x**2 - 5*x - 5 = 0 for x.
-1/2, 1
Let -2*v**3/5 - 32*v**2 + 162*v/5 = 0. Calculate v.
-81, 0, 1
Factor -5*g**2 + 2840*g - 5660.
-5*(g - 566)*(g - 2)
Factor 2*a**2/7 - 4*a/7 - 48/7.
2*(a - 6)*(a + 4)/7
Suppose -3*l**4/2 + 171*l**3/2 - 1095*l**2/2 + 2277*l/2 - 675 = 0. What is l?
1, 3, 50
Solve 5*q**2 + 275*q - 1500 = 0 for q.
-60, 5
Factor x**2 - 820*x + 168100.
(x - 410)**2
Suppose -t**5 - 11*t**4 - 3*t**3 + 71*t**2 + 4*t - 60 = 0. What is t?
-10, -3, -1, 1, 2
Factor 2*o**2/17 + 42*o/17.
2*o*(o + 21)/17
Factor -4*a**2 - 84*a - 80.
-4*(a + 1)*(a + 20)
Factor g**2/4 + 25*g/2 + 625/4.
(g + 25)**2/4
Suppose p**5/5 + 4*p**4/5 - 24*p**3/5 - 46*p**2/5 + 43*p - 30 = 0. Calculate p.
-5, 1, 2, 3
What is u in 162*u**5 + 72*u**4 - 262*u**3 + 28*u**2 = 0?
-14/9, 0, 1/9, 1
What is h in 3*h**5 + 18*h**4 + 36*h**3 + 30*h**2 + 9*h = 0?
-3, -1, 0
Factor 4*k**3 + 252*k**2 - 792*k.
4*k*(k - 3)*(k + 66)
Let -2*y**2 + 18 = 0. What is y?
-3, 3
Determine v so that 3*v**3/7 + 54*v**2 + 261*v + 1452/7 = 0.
-121, -4, -1
Suppose -2*w**4/7 + 20*w**3/7 - 8*w**2/7 - 12*w - 54/7 = 0. What is w?
-1, 3, 9
Let 22*g**2/7 + 4*g/7 = 0. Calculate g.
-2/11, 0
Find d such that 45*d**2/2 - 633*d/2 + 21 = 0.
1/15, 14
Factor 3*j**5/2 + 42*j**4.
3*j**4*(j + 28)/2
Factor n**2/4 + 5*n/4 - 7/2.
(n - 2)*(n + 7)/4
Find t such that t**2/3 + 67*t/3 = 0.
-67, 0
Suppose -2*i**4 + 94*i**3 - 1440*i**2 + 6656*i + 8192 = 0. Calculate i.
-1, 16
Factor 4*w**2 + 20*w - 96.
4*(w - 3)*(w + 8)
Find w such that -2*w**5 + 180*w**4/11 - 168*w**3/11 - 820*w**2/11 - 450*w/11 = 0.
-1, -9/11, 0, 5
Factor 20511149*p**5/5 - 152772696*p**4 + 2275786368*p**3 - 16950684672*p**2 + 63126687744*p - 470184984576/5.
(29*p - 216)**5/5
Factor -2*y**4/15 - 4*y**3/3 + 286*y**2/15 + 112*y - 4704/5.
-2*(y - 7)**2*(y + 12)**2/15
Find t such that 2*t**4 - 16124*t**3/3 + 32481794*t**2/9 + 7223