**3 - 836*f**2/5 + 184*f/5 = 0.
0, 2/7, 1, 23
Factor 9*x**2 - 1290*x + 429.
3*(x - 143)*(3*x - 1)
Let 4*t**5 - 12*t**4 - 32*t**3 + 48*t**2 + 64*t = 0. What is t?
-2, -1, 0, 2, 4
Suppose 2*i**2/17 - 48*i/17 - 40 = 0. What is i?
-10, 34
Factor 66*i**2 - 549*i/2 - 243.
3*(4*i + 3)*(11*i - 54)/2
Determine i so that -i**3/4 + 6801*i**2/4 - 15417867*i/4 + 11650768163/4 = 0.
2267
Factor -5*z**4 - 25*z**3 + 180*z**2.
-5*z**2*(z - 4)*(z + 9)
Solve -2*s**3 - 440*s**2 - 1306*s - 868 = 0.
-217, -2, -1
Determine y, given that -5*y**4 + 5740*y**3 - 2471070*y**2 + 472798060*y - 33923260805 = 0.
287
Factor 2*k**3 + 330*k**2 + 328*k.
2*k*(k + 1)*(k + 164)
Find a such that 2*a**3 - 16*a**2 = 0.
0, 8
Find x such that -2*x**2 - 5112*x - 3266568 = 0.
-1278
Determine v so that -v**3/7 - 31*v**2/7 - 34*v - 360/7 = 0.
-20, -9, -2
Factor -2*a**2/3 - 268*a/3 - 8978/3.
-2*(a + 67)**2/3
Factor -t**5 + 3*t**4 + 100*t**3 + 96*t**2.
-t**2*(t - 12)*(t + 1)*(t + 8)
Factor -2*d**2 + 242*d - 936.
-2*(d - 117)*(d - 4)
Suppose -d**5 - 10*d**4 - 8*d**3 + 10*d**2 + 9*d = 0. Calculate d.
-9, -1, 0, 1
Factor -2*r**2/9 - 602*r/9 + 404/3.
-2*(r - 2)*(r + 303)/9
Factor -2*v**3/3 + 28*v**2/3 + 122*v/3 - 340/3.
-2*(v - 17)*(v - 2)*(v + 5)/3
Suppose 3*n**2/2 - 27*n/2 + 27 = 0. What is n?
3, 6
Factor -3*m**2/2 + 549*m - 100467/2.
-3*(m - 183)**2/2
Let 3*y**3/4 - 27*y**2/2 + 60*y - 72 = 0. What is y?
2, 4, 12
Solve -2*n**3/7 - 64*n**2/7 + 2*n/7 + 64/7 = 0.
-32, -1, 1
Solve x**2 - 18*x + 81 = 0 for x.
9
Determine h so that -7*h**4 + 51*h**3 + 504*h**2 - 1324*h + 336 = 0.
-7, 2/7, 2, 12
Let -w**3 + 28*w**2 - 245*w + 686 = 0. Calculate w.
7, 14
Factor -3*w**3/4 - 69*w**2 - 6615*w/4 - 6075/2.
-3*(w + 2)*(w + 45)**2/4
Find z, given that -3*z**3/5 + 102*z**2/5 - 756*z/5 - 1944/5 = 0.
-2, 18
Factor -5*c**3 - 63*c**2 - 174*c + 80.
-(c + 5)*(c + 8)*(5*c - 2)
Solve -2*v**2/11 - 12*v/11 + 270/11 = 0.
-15, 9
Determine d, given that -6*d**5 - 382*d**4/3 - 472*d**3 + 6616*d**2/3 - 1216*d - 384 = 0.
-12, -2/9, 1, 2
Suppose -315*b**5/4 + 415*b**4/2 - 25*b**3/4 - 475*b**2/2 + 85*b + 30 = 0. What is b?
-1, -2/9, 6/7, 1, 2
Factor -4*i**4/5 - 96*i**3/5 - 664*i**2/5 - 1056*i/5 - 484/5.
-4*(i + 1)**2*(i + 11)**2/5
Determine a, given that -4*a**3 + 1692*a**2 - 3368*a = 0.
0, 2, 421
Suppose -m**4/4 - 3*m**3/2 + 15*m**2/4 + 25*m = 0. What is m?
-5, 0, 4
Factor -2*z**5/3 + 4*z**4/3 + 2*z**3 - 8*z**2/3 - 8*z/3.
-2*z*(z - 2)**2*(z + 1)**2/3
Determine y so that 5*y**5 - 45*y**4 + 70*y**3 + 280*y**2 - 480*y - 640 = 0.
-2, -1, 4
Factor 2*z**2 - 22*z + 36.
2*(z - 9)*(z - 2)
Factor 3*g**4 - 192*g**3 + 3258*g**2 - 5952*g + 2883.
3*(g - 31)**2*(g - 1)**2
What is l in -l**5/2 + 3*l**4/4 + 7*l**3 - 15*l**2/4 - 31*l/2 - 6 = 0?
-3, -1, -1/2, 2, 4
Factor -2*v**5/9 - 13450*v**4/9 - 36180500*v**3/9 - 48662772500*v**2/9 - 32725714506250*v/9 - 8803217202181250/9.
-2*(v + 1345)**5/9
Factor -p**5/2 + 15*p**4/2 - 15*p**3 - 95*p**2 - 225*p/2 - 81/2.
-(p - 9)**2*(p + 1)**3/2
Factor 3*j**3/2 - 222*j**2 - 453*j/2 + 447.
3*(j - 149)*(j - 1)*(j + 2)/2
Factor q**4/10 + 122*q**3/5 + 7442*q**2/5.
q**2*(q + 122)**2/10
Factor -3*p**2/4 + 45*p/4 - 21/2.
-3*(p - 14)*(p - 1)/4
Factor 2*k**3/5 - 71*k**2 + 529*k/5 - 176/5.
(k - 176)*(k - 1)*(2*k - 1)/5
Solve -21*z**4/4 - 39*z**3/2 + 45*z**2/4 + 39*z/2 - 6 = 0 for z.
-4, -1, 2/7, 1
Let 20*z**2/9 + 28*z/9 = 0. What is z?
-7/5, 0
Determine q so that -2*q**5 - 40*q**4 - 104*q**3 - 28*q**2 + 106*q + 68 = 0.
-17, -2, -1, 1
Suppose 2*o**5/7 - 96*o**4/7 + 1404*o**3/7 - 864*o**2 + 1134*o = 0. What is o?
0, 3, 21
Factor -400*h**3 - 13360*h**2 + 8124*h - 1224.
-4*(h + 34)*(10*h - 3)**2
Factor -7*y**4 + y**3 + 21*y**2 - 17*y + 2.
-(y - 1)**2*(y + 2)*(7*y - 1)
Find q, given that -14*q**5 - 18*q**4 + 24*q**3 + 8*q**2 = 0.
-2, -2/7, 0, 1
Factor -10*y**5 + 55*y**4/2 + 15*y**3/2.
-5*y**3*(y - 3)*(4*y + 1)/2
Suppose -245*g**5 - 280*g**4 + 1355*g**3 + 1030*g**2 - 1500*g + 360 = 0. Calculate g.
-2, 3/7, 2
Find j, given that 2*j**3 - 10*j**2 - 48*j = 0.
-3, 0, 8
Suppose 3*p**4 - 4896*p**3 + 2002458*p**2 - 3990240*p + 1992675 = 0. Calculate p.
1, 815
Suppose 3*p**3 + 249*p**2 = 0. What is p?
-83, 0
Suppose 2*h**5 - 104*h**4 + 1244*h**3 + 2808*h**2 + 1458*h = 0. What is h?
-1, 0, 27
Factor 2*z**4/3 - 28*z**3/3 - 64*z**2/3.
2*z**2*(z - 16)*(z + 2)/3
Factor -7*u**3 + 23*u**2 + 120*u - 36.
-(u - 6)*(u + 3)*(7*u - 2)
Suppose -3*q**2/5 - 48*q/5 + 108/5 = 0. Calculate q.
-18, 2
Suppose -2*u**4/7 + 2*u**3 - 24*u**2/7 = 0. Calculate u.
0, 3, 4
Determine z so that 196*z**5 - 33880*z**4 + 1939120*z**3 - 35992480*z**2 - 43059200*z - 12487168 = 0.
-4/7, 58
Solve 2*q**2 - 140*q + 2450 = 0 for q.
35
Factor t**2/11 - 104*t/11 + 1183/11.
(t - 91)*(t - 13)/11
What is q in 2*q**3/9 + 160*q**2/3 - 482*q/9 = 0?
-241, 0, 1
Determine f so that -3*f**4 - 177*f**3 - 171*f**2 + 177*f + 174 = 0.
-58, -1, 1
Factor -5*f**2 - 7550*f - 2850125.
-5*(f + 755)**2
Find l such that -20*l**4 + 76*l**3 - 48*l**2 = 0.
0, 4/5, 3
Factor 12*g**5 + 52*g**4 + 68*g**3 + 12*g**2 - 32*g - 16.
4*(g + 1)**3*(g + 2)*(3*g - 2)
Factor 3*y**3/5 - 138*y**2/5 + 27*y.
3*y*(y - 45)*(y - 1)/5
Factor 2*p**3 - 16*p**2 - 30*p + 108.
2*(p - 9)*(p - 2)*(p + 3)
What is h in -2*h**3 - 30*h**2 + 108*h = 0?
-18, 0, 3
Solve -2*u**5/3 + 32*u**4/3 - 48*u**3 + 148*u**2/3 + 146*u/3 - 60 = 0.
-1, 1, 2, 5, 9
Find l, given that l**4/5 + 67*l**3/5 + 1218*l**2/5 + 640*l + 2048/5 = 0.
-32, -2, -1
Suppose -a**3 - 106*a**2 - 2133*a = 0. What is a?
-79, -27, 0
Factor 2*i**4 - 8*i**3 + 6*i**2 + 8*i - 8.
2*(i - 2)**2*(i - 1)*(i + 1)
Suppose -p**2 - 7*p - 6 = 0. Calculate p.
-6, -1
Solve 5*f**5 + 60*f**4 + 175*f**3 = 0.
-7, -5, 0
Determine g so that -2*g**4 - 22*g**3 - 34*g**2 + 22*g + 36 = 0.
-9, -2, -1, 1
Factor q**4 - 92*q**3/3 + 145*q**2 - 250*q/3.
q*(q - 25)*(q - 5)*(3*q - 2)/3
Determine z, given that -25*z**4 - 120*z**3 + 176*z**2 + 768*z - 1024 = 0.
-4, 8/5
Find y, given that -2*y**5 + 198*y**4 - 5190*y**3 + 14402*y**2 - 14016*y + 4608 = 0.
1, 48
Factor -f**2/7 - 160*f - 44800.
-(f + 560)**2/7
Find n, given that 2*n**2 + 176*n - 736 = 0.
-92, 4
Factor -2*o**3/11 + 178*o**2/11 + 1130*o/11 + 950/11.
-2*(o - 95)*(o + 1)*(o + 5)/11
What is p in -2*p**3/17 - 70*p**2/17 - 814*p/17 - 3146/17 = 0?
-13, -11
Factor -2*y**4 + 2*y**3 + 2*y**2 - 2*y.
-2*y*(y - 1)**2*(y + 1)
Factor 2*k**2/11 + 34*k/11 + 120/11.
2*(k + 5)*(k + 12)/11
What is g in -98*g**5/13 + 644*g**4/13 - 834*g**3/13 - 848*g**2/13 + 632*g/13 - 96/13 = 0?
-1, 2/7, 3, 4
Factor i**4/2 - 61*i**3 + 5361*i**2/2 - 50020*i + 336200.
(i - 41)**2*(i - 20)**2/2
Determine k so that 3*k**2 + 342*k + 339 = 0.
-113, -1
Solve 2*g**2/3 - 1240*g/3 + 1234 = 0.
3, 617
What is o in -4*o**5/5 - 48*o**4/5 - 36*o**3 - 232*o**2/5 - 96*o/5 = 0?
-6, -4, -1, 0
Factor 7*z**4/5 + 17*z**3/5 - 12*z**2/5.
z**2*(z + 3)*(7*z - 4)/5
Let -u**4/4 - 5*u**3/2 + 13*u**2/4 + 11*u/2 = 0. Calculate u.
-11, -1, 0, 2
Factor h**2/5 + 16186*h/5 + 65496649/5.
(h + 8093)**2/5
Determine j so that -2*j**5/11 - 8*j**4/11 + 4*j**3/11 + 16*j**2/11 - 2*j/11 - 8/11 = 0.
-4, -1, 1
Determine g, given that g**2 + 44*g + 403 = 0.
-31, -13
Suppose y**4/2 - 209*y**3 + 29190*y**2 - 1371791*y + 2685619/2 = 0. What is y?
1, 139
Factor -4*p**4 - 8*p**3 + 60*p**2 - 16*p - 80.
-4*(p - 2)**2*(p + 1)*(p + 5)
Factor p**2 - 118*p - 875.
(p - 125)*(p + 7)
Find g, given that -6*g**2 - 1424*g + 952 = 0.
-238, 2/3
Solve 3*h**5 + 53*h**4 + 225*h**3 + 255*h**2 + 32*h - 48 = 0.
-12, -4, -1, 1/3
Find v such that 5*v**2 + 40*v - 100 = 0.
-10, 2
Let 2*m**4 - 12728*m**3 + 30375372*m**2 - 32218144568*m + 12814767001922 = 0. What is m?
1591
Factor -3*g**3 + 3*g**2 + 18*g.
-3*g*(g - 3)*(g + 2)
Factor 2*r**3/11 + 48*r**2/11 - 218*r/11 + 168/11.
2*(r - 3)*(r - 1)*(r + 28)/11
Let -8*z**4 + 12*z**3 + 36*z**2 + 4*z - 12 = 0. Calculate z.
-1, 1/2, 3
Find x, given that 3*x**4 - 3*x**3 - 3*x**2 + 3*x = 0.
-1, 0, 1
Factor 4*g**4 + 76*g**3 - 452*g**2 + 660*g - 288.
4*(g - 3)*(g - 1)**2*(g + 24)
Let -5*a**3/3 + 923*a**2/3 - 550*a/3 - 368/3 = 0. What is a?
-2/5, 1, 184
Solve 3*v**2 - 159*v + 450 = 0 for v.
3, 50
Let -f**2/9 + 1448*f/9 - 524176/9 = 0. Calculate f.
724
Factor v**2/5 - 95*v + 1416/5.
(v - 472)*(v - 3)/5
Find z such that -z**2/2 - 136*z - 9248 = 0.
-136
Factor -2*t**5 - 4*t**4 + 4*t**3 + 16*t**2 + 14*t + 4.
-2*(t - 2)*(t + 1)