 + 29)/17
Factor -r**3/4 + 219*r**2/4 - 12099*r/4 + 11881/4.
-(r - 109)**2*(r - 1)/4
Let a**3/3 - 44*a**2/3 + 28*a = 0. Calculate a.
0, 2, 42
Factor 2*f**2 - 262*f/7 - 76/7.
2*(f - 19)*(7*f + 2)/7
Determine s so that -3*s**2/4 + 1215*s/2 - 7263/4 = 0.
3, 807
Factor -2*w**4 - 24*w**3 - 86*w**2 - 120*w - 56.
-2*(w + 1)*(w + 2)**2*(w + 7)
What is y in -y**5/9 - 1609*y**4/9 - 217610*y**3/3 - 501694*y**2 - 1070937*y - 641601 = 0?
-801, -3, -1
Solve 2*i**5/9 + 424*i**4/9 + 5642*i**3/9 + 2156*i**2 = 0 for i.
-198, -7, 0
Factor y**2/3 + 5*y - 72.
(y - 9)*(y + 24)/3
Let x**2/5 - 116*x/5 + 3364/5 = 0. What is x?
58
Factor b**3/8 - 181*b**2/8 - 463*b/4 - 93.
(b - 186)*(b + 1)*(b + 4)/8
Determine x, given that 4*x**3/9 + 10*x**2/9 - 8*x/3 = 0.
-4, 0, 3/2
Determine v so that 2*v**3 + 44*v**2 - 102*v - 144 = 0.
-24, -1, 3
Let -28*m**5 - 29*m**4 + m**3 + 2*m**2 = 0. Calculate m.
-1, -2/7, 0, 1/4
Suppose -2*q**2/9 + 14*q/3 + 44/9 = 0. Calculate q.
-1, 22
Find x, given that 2*x**2 + 880*x + 96800 = 0.
-220
Factor -2*l**2/9 + 208*l/9.
-2*l*(l - 104)/9
Determine v so that -8*v**5 - 36*v**4 - 12*v**3 + 124*v**2 + 180*v + 72 = 0.
-3, -3/2, -1, 2
Solve 3*q**5/5 + 273*q**4/5 - 1122*q**3/5 + 1698*q**2/5 - 1137*q/5 + 57 = 0 for q.
-95, 1
Factor -2*u**3/3 - 44*u**2/3 + 46*u/3.
-2*u*(u - 1)*(u + 23)/3
Let -35*w**5 - 1956*w**4 - 8907*w**3 - 9442*w**2 + 2268*w + 1224 = 0. Calculate w.
-51, -3, -2, -2/7, 2/5
Factor -2*x**3/3 - 38*x**2 - 74*x - 110/3.
-2*(x + 1)**2*(x + 55)/3
Factor -5*i**2/2 + 2595*i - 1346805/2.
-5*(i - 519)**2/2
Factor -t**2 - 944*t - 222784.
-(t + 472)**2
Find p such that 2*p**2/3 - 12*p - 80/3 = 0.
-2, 20
Solve -4*f**3 + 108*f**2 - 972*f + 2916 = 0.
9
Let -2*n**3 + 190*n**2 = 0. Calculate n.
0, 95
Determine h, given that h**5 + 11*h**4 + 10*h**3 = 0.
-10, -1, 0
Factor 2*o**3/15 + 14*o**2/5 - 6*o + 46/15.
2*(o - 1)**2*(o + 23)/15
Let 2*x**3/7 - 32*x**2/7 - 10*x - 36/7 = 0. What is x?
-1, 18
Solve -10*f**4/3 + 77*f**3/6 - 9*f**2 + 3*f/2 = 0 for f.
0, 1/4, 3/5, 3
Factor -2*d**3/11 + 100*d**2/11 - 376*d/11 + 368/11.
-2*(d - 46)*(d - 2)**2/11
Factor 5*f**2 - 35*f - 220.
5*(f - 11)*(f + 4)
Let 2*u**5 - 46*u**4/5 + 54*u**3/5 + 22*u**2/5 - 64*u/5 + 24/5 = 0. What is u?
-1, 3/5, 1, 2
Solve -35*s**3 + 220*s**2 - 235*s + 50 = 0.
2/7, 1, 5
Factor -f**2/3 + 2*f/3 + 8/3.
-(f - 4)*(f + 2)/3
Factor -4*h**3 + 88*h**2 - 160*h.
-4*h*(h - 20)*(h - 2)
Find t such that 3*t**5/7 + 156*t**4/7 - 9*t**3/7 - 66*t**2 + 312*t/7 = 0.
-52, -2, 0, 1
Let 2*m**4/7 - 2*m**3 - 326*m**2/7 - 1210*m/7 - 900/7 = 0. What is m?
-5, -1, 18
Solve x**3/6 - 77*x**2/3 + 151*x/6 + 51 = 0 for x.
-1, 2, 153
Solve 2*b**3 + 284*b**2/5 + 112*b/5 = 0.
-28, -2/5, 0
Determine o, given that -2*o**4/9 + 40*o**3/9 - 12*o**2 + 104*o/9 - 34/9 = 0.
1, 17
Find r such that -r**3/9 - 59*r**2/9 + 2126*r/9 + 728/3 = 0.
-84, -1, 26
Factor 3*v**4/7 + 375*v**3/7 - 1143*v**2/7 + 1149*v/7 - 384/7.
3*(v - 1)**3*(v + 128)/7
Factor g**3/2 - 2171*g**2/2 + 1179395*g/2 - 1177225/2.
(g - 1085)**2*(g - 1)/2
Find r, given that 2*r**5 - 16*r**4 + 32*r**3 - 4*r**2 - 34*r + 20 = 0.
-1, 1, 2, 5
Factor 10*b**2/13 + 14*b/13 - 12/13.
2*(b + 2)*(5*b - 3)/13
Factor -72*k**3 - 884*k**2/3 - 944*k/3 - 80/3.
-4*(k + 2)**2*(54*k + 5)/3
Find l such that -4*l**3 + 1788*l**2/5 - 7884*l - 4860 = 0.
-3/5, 45
Determine h so that h**2/6 - 49/6 = 0.
-7, 7
What is k in -k**3/3 + 5*k**2/3 + 2*k = 0?
-1, 0, 6
Let c**2/2 + 84*c - 170 = 0. Calculate c.
-170, 2
Factor u**4/7 + 62*u**3/7 + 825*u**2/7 - 4356*u/7.
u*(u - 4)*(u + 33)**2/7
Determine i, given that -i**3/11 + 4*i**2/11 - 4*i/11 = 0.
0, 2
Factor -4*d**4 + 104*d**3 - 260*d**2 - 368*d.
-4*d*(d - 23)*(d - 4)*(d + 1)
Factor -w**4/2 - 15*w**3/2 - 29*w**2 - 42*w - 20.
-(w + 1)*(w + 2)**2*(w + 10)/2
Factor 2*m**2/5 - 64*m/5 + 102.
2*(m - 17)*(m - 15)/5
Find i such that -3*i**2 + 39*i - 108 = 0.
4, 9
Factor 6*f**2/5 + 252*f/5 - 528/5.
6*(f - 2)*(f + 44)/5
Factor -5*w**4 - 5*w**3.
-5*w**3*(w + 1)
Factor r**5/4 + 19*r**4/4 + 115*r**3/4 + 241*r**2/4 + 52*r + 16.
(r + 1)**3*(r + 8)**2/4
Factor -4*l**2 - 5288*l - 1747684.
-4*(l + 661)**2
Factor -4*c**4 + 124*c**3 - 1212*c**2 + 4356*c - 5184.
-4*(c - 16)*(c - 9)*(c - 3)**2
Factor 2*x**4/3 + 25520*x**3/3 + 81383276*x**2/3 - 54281040*x + 27144774.
2*(x - 1)**2*(x + 6381)**2/3
Suppose -128*p**4 - 11024*p**3 - 476097*p**2/2 - 29627*p - 1849/2 = 0. What is p?
-43, -1/16
Determine g so that 2*g**3 + 160*g**2 + 2666*g - 22188 = 0.
-43, 6
Suppose -5*k**5 - 185*k**4 + 830*k**3 + 350*k**2 - 2505*k - 1845 = 0. Calculate k.
-41, -1, 3
Determine x, given that x**5 + 22*x**4 + 93*x**3 - 360*x**2 - 432*x = 0.
-12, -1, 0, 3
Determine p, given that -14*p**3 + 1684*p**2 - 50880*p + 14400 = 0.
2/7, 60
Suppose -2*t**3/7 - 128*t**2/7 + 134*t/7 + 260/7 = 0. What is t?
-65, -1, 2
Factor -p**4 + 30*p**3 + p**2 - 30*p.
-p*(p - 30)*(p - 1)*(p + 1)
Determine t, given that -3*t**3 + 12*t**2 + 33*t + 18 = 0.
-1, 6
Factor -o**5 - 15*o**4 - 39*o**3 - 37*o**2 - 12*o.
-o*(o + 1)**3*(o + 12)
Determine y, given that 5*y**3/7 - 127*y**2/7 + 50*y/7 = 0.
0, 2/5, 25
Factor -3*p**3/2 + 45*p**2/2.
-3*p**2*(p - 15)/2
Solve -d**4 + 475*d**3 + 958*d**2 - 1900*d - 3816 = 0 for d.
-2, 2, 477
Suppose -6*h**4 + 9*h**3 + 9*h**2 - 6*h = 0. What is h?
-1, 0, 1/2, 2
Factor -4*h**3/7 + 32*h**2/7 + 80*h/7.
-4*h*(h - 10)*(h + 2)/7
Solve -5*h**3 + 26439*h**2 - 105744*h/5 + 21148/5 = 0.
2/5, 5287
Let -2*f**3/11 - 128*f**2/11 = 0. What is f?
-64, 0
Determine y so that -4*y**3 - 22392*y**2 - 41783472*y - 25989319584 = 0.
-1866
Suppose 2*j**2/13 + 36084*j/13 + 162756882/13 = 0. Calculate j.
-9021
Suppose -4*b**5 - 504*b**4/5 - 3816*b**3/5 - 12528*b**2/5 - 18468*b/5 - 1944 = 0. Calculate b.
-15, -3, -6/5
Let s**2/3 - 79*s/3 - 80/3 = 0. Calculate s.
-1, 80
Find s such that 5*s**2 + 165*s = 0.
-33, 0
Determine q, given that -3*q**5/2 + 165*q**4/2 - 1701*q**3 + 15876*q**2 - 60912*q + 46656 = 0.
1, 12, 18
Factor -2*t**4 + 14*t**3 + 16*t**2.
-2*t**2*(t - 8)*(t + 1)
Suppose -2*o**3/3 + 28*o**2/3 + 190*o/3 = 0. What is o?
-5, 0, 19
Suppose 2*q**2 + 70*q - 72 = 0. Calculate q.
-36, 1
Solve 4*y**2 - 2288*y + 327184 = 0 for y.
286
Factor 4*p**5/5 + 7*p**4/5 + 2*p**3/5 - p**2/5.
p**2*(p + 1)**2*(4*p - 1)/5
Let -5*y**5 - 25*y**4 + 35*y**3 + 25*y**2 - 30*y = 0. Calculate y.
-6, -1, 0, 1
Factor -98*p**4/11 + 22386*p**3/11 + 12816*p**2/11 + 1832*p/11.
-2*p*(p - 229)*(7*p + 2)**2/11
Factor -d**4 + 72*d**3 - 1606*d**2 + 11160*d - 24025.
-(d - 31)**2*(d - 5)**2
Factor -4*h**4 + h**3 + 4*h**2 - h.
-h*(h - 1)*(h + 1)*(4*h - 1)
Factor -4*d**3 + 68*d**2 + 148*d + 76.
-4*(d - 19)*(d + 1)**2
Solve -h**2/2 - 3*h/2 + 35 = 0 for h.
-10, 7
Find o, given that -2*o**4/15 - 22*o**3/15 - 8*o**2/3 + 88*o/15 + 64/5 = 0.
-8, -3, -2, 2
Solve -42*v**4 - 129*v**3 - 135*v**2 - 51*v - 3 = 0.
-1, -1/14
What is c in 15*c**2/4 - 21*c/4 + 3/2 = 0?
2/5, 1
Factor 4*o**2/9 + 3380*o/9.
4*o*(o + 845)/9
Factor -2*t**2/13 - 56*t/13 - 374/13.
-2*(t + 11)*(t + 17)/13
Factor 2*q**3 + 96*q**2 + 186*q + 92.
2*(q + 1)**2*(q + 46)
Determine z, given that -4*z**5 - 34*z**4 + 20*z**3 + 18*z**2 = 0.
-9, -1/2, 0, 1
Suppose -5*n**5 + 55*n**3 + 90*n**2 + 40*n = 0. Calculate n.
-2, -1, 0, 4
Factor -v**2/11 - 676*v/11 + 677/11.
-(v - 1)*(v + 677)/11
Let -y**2/6 - 47*y/6 - 86/3 = 0. What is y?
-43, -4
Let r**5/7 + 17*r**4/7 + 19*r**3/7 - 433*r**2/7 + 880*r/7 - 484/7 = 0. Calculate r.
-11, 1, 2
Factor l**2/4 - 23*l/2 + 333/4.
(l - 37)*(l - 9)/4
Suppose -2*y**3/9 + 142*y**2/9 - 136*y/3 = 0. Calculate y.
0, 3, 68
Determine i, given that -4*i**5 + 68*i**4 + 164*i**3 - 212*i**2 - 320*i + 304 = 0.
-2, 1, 19
Factor -2*h**3 + 22*h**2 - 14*h - 294.
-2*(h - 7)**2*(h + 3)
Factor 4*g**3 + 32*g**2 + 84*g + 72.
4*(g + 2)*(g + 3)**2
Factor -3*o**5 + 12*o**4 + 15*o**3.
-3*o**3*(o - 5)*(o + 1)
Factor -b**3/5 - 4*b**2 - 19*b/5.
-b*(b + 1)*(b + 19)/5
Solve -245*i**5 + 350*i**4 + 505*i**3 - 310*i**2 - 260*i - 40 = 0 for i.
-1, -2/7, 1, 2
Find k such that -7*k**5/3 + 614*k**4/3 + 197*k**3/3 - 1856*k**2/3 + 700*k/3 + 352/3 = 0.
-2, -2/7, 1, 88
Factor -2*v**3 + 2*v**2 + 40*v.
-2*v*(v - 5)*(v + 4)
Find o such that o**4/5 - 28*o**3/5 - 3*o**2/5 + 86*o/5 - 56/5 = 0.
-2, 1, 28
Solve 76*h**3 - 92*h**2 - 136*h + 32 = 0 for h.
-1, 4/19, 2
Let -g**2/6 + 454*g/3 + 910/3 = 0. What is g?
-2, 910
Suppose -3*k**5/4 + 3*