**4/11 - 204*s**3/11 - 296*s**2/11 - 194*s/11 - 48/11 = 0.
-24, -1
Determine f so that 4*f**3/5 + 1476*f**2/5 + 28512*f + 233280 = 0.
-180, -9
Find n, given that -n**5 - n**4 + n**3 + n**2 = 0.
-1, 0, 1
Factor v**4 + v**3 - 10*v**2 + 8*v.
v*(v - 2)*(v - 1)*(v + 4)
Solve -3*n**3 + 18*n**2 + 3*n - 18 = 0 for n.
-1, 1, 6
Let -4*l**3/5 - 2216*l**2/5 - 13188*l/5 - 19728/5 = 0. Calculate l.
-548, -3
Suppose r**4 - 14*r**3 - 127*r**2 + 140*r = 0. Calculate r.
-7, 0, 1, 20
Factor -4*p**3/5 + 4*p**2/5 + 32*p - 448/5.
-4*(p - 4)**2*(p + 7)/5
Factor -r**3/2 + 11*r**2 + 73*r/2 + 25.
-(r - 25)*(r + 1)*(r + 2)/2
Determine g, given that 3*g**4 - 219*g**3 - 684*g**2 - 12*g + 912 = 0.
-2, 1, 76
Factor -5*y**2 - 1960*y - 192080.
-5*(y + 196)**2
Factor 35*o**3 - 115*o**2 + 30*o.
5*o*(o - 3)*(7*o - 2)
Let -2*z**2/13 - 16*z/13 = 0. Calculate z.
-8, 0
Factor -4*f**2 - 24192*f - 36578304.
-4*(f + 3024)**2
Suppose -3*b**3/7 - 171*b**2/7 - 360*b - 336 = 0. Calculate b.
-28, -1
Factor -20*j**3/7 + 86*j**2/7 - 104*j/7 + 24/7.
-2*(j - 2)**2*(10*j - 3)/7
What is h in 2*h**4 - 14*h**3 + 4*h**2 + 56*h - 48 = 0?
-2, 1, 2, 6
What is r in -20*r**4 - 232*r**3 - 92*r**2 + 2424*r + 1440 = 0?
-10, -4, -3/5, 3
Factor -5*o**2/4 - 25*o + 105/4.
-5*(o - 1)*(o + 21)/4
Determine y, given that -2*y**4/7 + 20*y**3/7 - 10*y**2 + 100*y/7 - 48/7 = 0.
1, 2, 3, 4
Determine m so that -4*m**5 + 32*m**4 + 348*m**3 - 104*m**2 - 944*m + 672 = 0.
-6, -2, 1, 14
What is o in -13*o**2 - 9*o = 0?
-9/13, 0
Factor a**5 + 76*a**4 + 1285*a**3 - 6002*a**2 + 7840*a - 3200.
(a - 2)*(a - 1)**2*(a + 40)**2
Suppose 6*m**2/11 + 766*m/11 + 508/11 = 0. Calculate m.
-127, -2/3
Find d, given that 4*d**2 + 300*d + 584 = 0.
-73, -2
Factor t**3/5 + 4*t**2 - 96*t/5.
t*(t - 4)*(t + 24)/5
Find s such that 2*s**5/3 + 746*s**4/15 + 1622*s**3/3 + 17846*s**2/15 - 38864*s/15 + 12152/15 = 0.
-62, -7, 2/5, 1
Factor -q**2 - 109*q + 110.
-(q - 1)*(q + 110)
Determine b, given that -2*b**3 - 38*b**2 - 240*b - 504 = 0.
-7, -6
Let 5*i**2 - 500*i + 12500 = 0. Calculate i.
50
Factor 2*l**3/3 - 116*l**2/3 + 334*l/3 - 220/3.
2*(l - 55)*(l - 2)*(l - 1)/3
Let -4*q**2 - 13*q/3 - 1/3 = 0. Calculate q.
-1, -1/12
Factor -4*q**3/7 - 8*q**2/7 + 60*q/7 + 144/7.
-4*(q - 4)*(q + 3)**2/7
Suppose 4*a**3 + 28*a**2 - 276*a + 468 = 0. Calculate a.
-13, 3
Solve 5*o**5 - 15*o**3 + 10*o**2 = 0.
-2, 0, 1
Let -8*q**4 + 2546*q**3 - 270300*q**2 + 9595544*q - 2382032 = 0. What is q?
1/4, 106
Find d, given that -d**4/4 + 61*d**3/4 - 529*d**2/2 + 896*d + 1176 = 0.
-1, 6, 28
Find b, given that 5*b**4 - 75*b**2 + 50*b + 120 = 0.
-4, -1, 2, 3
Solve 3*v**5 + 42*v**4 + 105*v**3 + 66*v**2 = 0.
-11, -2, -1, 0
Suppose 3*f**3/4 - 33*f**2/2 + 171*f/4 = 0. Calculate f.
0, 3, 19
Factor -z**4 - 23*z**3 - 177*z**2 - 513*z - 486.
-(z + 2)*(z + 3)*(z + 9)**2
Let 2*f**3/3 + 14*f**2/3 + 16*f/3 - 32/3 = 0. Calculate f.
-4, 1
Solve -32*i**3 - 536*i**2 - 388*i - 64 = 0 for i.
-16, -1/2, -1/4
Solve -9*i**4 - 16*i**3 + 13*i**2 + 16*i - 4 = 0.
-2, -1, 2/9, 1
Solve 21*v**2 - 2640*v - 756 = 0.
-2/7, 126
Suppose 2*g**3/11 + 14*g**2/11 - 28*g/11 - 96/11 = 0. Calculate g.
-8, -2, 3
Factor 4*w**5 - 16*w**4 + 16*w**3 + 8*w**2 - 20*w + 8.
4*(w - 2)*(w - 1)**3*(w + 1)
Determine j so that -j**3/2 - 76*j**2 - 2730*j + 12168 = 0.
-78, 4
Find v, given that v**3 + 14*v**2 - 392*v = 0.
-28, 0, 14
Solve -4*d**2 + 84*d + 88 = 0.
-1, 22
Factor 4*y**3 + 148*y**2 + 1440*y + 1296.
4*(y + 1)*(y + 18)**2
Find d, given that -3*d**2/5 + 6*d - 15 = 0.
5
Determine g so that -20*g**2/7 + 38*g/7 + 4/7 = 0.
-1/10, 2
Factor -4*a**4 + 8*a**3 + 12*a**2.
-4*a**2*(a - 3)*(a + 1)
Factor -2*h**3/21 - 8*h**2/21 + 8*h/7.
-2*h*(h - 2)*(h + 6)/21
Factor -3*m**3 - 3783*m**2 - 7557*m - 3777.
-3*(m + 1)**2*(m + 1259)
Factor -5*k**2 - 15*k + 20.
-5*(k - 1)*(k + 4)
Factor -30*m**4 - 295*m**3 - 1035*m**2 - 1485*m - 675.
-5*(m + 3)**3*(6*m + 5)
Find p such that -4*p**5 - 84*p**4 - 140*p**3 + 228*p**2 = 0.
-19, -3, 0, 1
Solve -174*v**3/17 + 10*v**2 + 352*v/17 + 8/17 = 0 for v.
-1, -2/87, 2
Factor -5*d**4 - 35*d**3 - 25*d**2 + 35*d + 30.
-5*(d - 1)*(d + 1)**2*(d + 6)
Determine o, given that 3*o**3 - 105*o**2 + 600*o + 6000 = 0.
-5, 20
Determine l, given that -3*l**5 + 69*l**4 - 528*l**3 + 1236*l**2 + 1728*l - 6912 = 0.
-2, 3, 6, 8
Let 2*o**2 + 36*o + 162 = 0. Calculate o.
-9
What is f in -3*f**2 + 2184*f - 397488 = 0?
364
Let 2*h**3/13 + 2*h**2/13 - 10*h/13 + 6/13 = 0. What is h?
-3, 1
Suppose 4*s**4 - 68*s**3 - 256*s**2 + 320*s = 0. Calculate s.
-4, 0, 1, 20
What is c in -4*c**2 - 16*c + 20 = 0?
-5, 1
Solve -3*j**2/7 - 78*j/7 - 144/7 = 0.
-24, -2
Factor -y**2/6 - 28*y/3 + 59/2.
-(y - 3)*(y + 59)/6
Solve -5*c**4 - 20*c**3 + 60*c**2 + 320*c + 320 = 0 for c.
-4, -2, 4
Determine n so that 3*n**2 - 948*n = 0.
0, 316
Factor -18*r**3 - 652*r**2 + 522*r + 148.
-2*(r - 1)*(r + 37)*(9*r + 2)
Let 5*m**2/3 + 209*m + 250/3 = 0. Calculate m.
-125, -2/5
Factor -4*o**2/3 + 272*o/3 - 268/3.
-4*(o - 67)*(o - 1)/3
Determine u, given that u**2/2 - 55*u = 0.
0, 110
Determine r so that 21*r**4 - 4*r**3 - 15*r**2 - 2*r = 0.
-2/3, -1/7, 0, 1
Suppose 3*o**4 + 648*o**3 + 34338*o**2 - 70632*o + 35643 = 0. Calculate o.
-109, 1
Factor 4*b**4/7 + 20*b**3/7 + 32*b**2/7 + 16*b/7.
4*b*(b + 1)*(b + 2)**2/7
Factor -4*v**4/5 - 4*v**3 + 68*v**2/5 + 84*v/5.
-4*v*(v - 3)*(v + 1)*(v + 7)/5
Factor 3*n**3/4 + 153*n**2/4 + 1701*n/4 - 6561/4.
3*(n - 3)*(n + 27)**2/4
Find h such that 2*h**4/7 - 4*h**3/7 - 10*h**2/7 + 12*h/7 = 0.
-2, 0, 1, 3
Factor -2*v**2/5 + 6*v/5 + 4.
-2*(v - 5)*(v + 2)/5
Suppose -12*t**2 + 1182*t + 2380/3 = 0. Calculate t.
-2/3, 595/6
Determine n, given that 3*n**5 - 27*n**4 + 87*n**3 - 117*n**2 + 54*n = 0.
0, 1, 2, 3
Let -8*o**3 - 11*o**2 - 3*o = 0. What is o?
-1, -3/8, 0
Solve c**2/2 + 51*c/2 + 154 = 0.
-44, -7
Determine f so that -f**4/4 + 241*f**3/2 - 14520*f**2 - 241*f/2 + 58081/4 = 0.
-1, 1, 241
Determine m, given that -3*m**3 - 219*m**2 + 8595*m - 69525 = 0.
-103, 15
Factor -4*j**4 - 252*j**3 - 3280*j**2 + 22032*j - 18496.
-4*(j - 4)*(j - 1)*(j + 34)**2
Factor g**2/6 + 7*g - 43/6.
(g - 1)*(g + 43)/6
Solve 5*b**4 + 70*b**3 + 265*b**2 + 380*b + 180 = 0 for b.
-9, -2, -1
Find q such that 2*q**5/15 + 8*q**4/15 - 28*q**2/15 - 34*q/15 - 4/5 = 0.
-3, -1, 2
Factor -3*p**4/5 + 108*p**3/5 - 1074*p**2/5 + 1836*p/5 - 867/5.
-3*(p - 17)**2*(p - 1)**2/5
Determine p, given that -38*p**2/9 - 50*p/9 - 4/3 = 0.
-1, -6/19
Let 3*v**4 + 69*v**3 + 66*v**2 = 0. Calculate v.
-22, -1, 0
Determine p, given that 3*p**2/4 + 69*p/2 + 126 = 0.
-42, -4
Factor -5*i**4/6 + i**3/2 + 2*i**2 + 2*i/3.
-i*(i - 2)*(i + 1)*(5*i + 2)/6
Solve 3*j**3 + 33*j**2 + 117*j + 135 = 0.
-5, -3
Factor y**4/4 + 21*y**3/4 - 95*y**2/4 + 123*y/4 - 25/2.
(y - 2)*(y - 1)**2*(y + 25)/4
What is b in 3*b**2 + 483*b - 486 = 0?
-162, 1
Let -4*s**2/7 + 20*s/7 - 24/7 = 0. Calculate s.
2, 3
Let -340707*s**2/2 + 674*s - 2/3 = 0. What is s?
2/1011
Factor 4*h**4 - 28*h**3 - 164*h**2 - 132*h.
4*h*(h - 11)*(h + 1)*(h + 3)
Find t, given that -2*t**4/5 - 788*t**3/5 - 784*t**2/5 + 788*t/5 + 786/5 = 0.
-393, -1, 1
Suppose l**5 - 7*l**4 - 15*l**3 + 167*l**2 - 266*l + 120 = 0. Calculate l.
-5, 1, 4, 6
Determine m so that 14*m**2/13 + 202*m/13 + 84/13 = 0.
-14, -3/7
Factor -3*g**3 + 669*g**2 - 36960*g - 37632.
-3*(g - 112)**2*(g + 1)
Factor -4*c**3/9 - 16*c**2/3 + 1024/9.
-4*(c - 4)*(c + 8)**2/9
Factor 5*b**2/2 - 1530*b + 234090.
5*(b - 306)**2/2
Determine p, given that -3*p**4/5 - 63*p**3/5 - 198*p**2/5 + 672*p/5 = 0.
-16, -7, 0, 2
Factor -d**3/9 + 8*d**2/9 + d/9 - 8/9.
-(d - 8)*(d - 1)*(d + 1)/9
Find r, given that -5*r**5 - 5*r**4 + 70*r**3 + 140*r**2 - 40*r - 160 = 0.
-2, 1, 4
Factor -3*n**2/2 + 5754*n - 5518086.
-3*(n - 1918)**2/2
Suppose -5*j**4 - 70*j**3 - 260*j**2 - 330*j - 135 = 0. What is j?
-9, -3, -1
Solve -4*r**5 + 36*r**4 + 88*r**3 = 0 for r.
-2, 0, 11
Factor 4*m**2/5 + 504*m + 79380.
4*(m + 315)**2/5
Let -2*c**4/9 - 70*c**3/9 + 148*c**2/9 = 0. What is c?
-37, 0, 2
Factor 3*q**2 - 29412*q + 72088812.
3*(q - 4902)**2
Factor q**2/2 - 59*q/3 - 40/3.
(q - 40)*(3*q + 2)/6
Find g such that -4*g**2/3 + 140*g - 416/3 = 0.
1, 104
Suppose -2*h**3/7 - 266*h**2 - 432448*h/7 + 434312/7 = 0. Calculate h.
-466, 1
Let 25*h**4/3 - 1390*h**3 + 175549*h**2/3 - 46148*h + 27556/3 = 0. Calculate h.
2/5, 83
Factor -z**3 + z**2 + 8*z - 1