 1872 = 0.
-52, 2, 3
Factor -p**2/2 - 195*p/4 + 49/2.
-(p + 98)*(2*p - 1)/4
Suppose 3*n**5 + 8*n**4 + 6*n**3 - n = 0. What is n?
-1, 0, 1/3
Suppose -3*l**3/2 + 885*l**2/2 - 63921*l/2 - 199809/2 = 0. Calculate l.
-3, 149
Factor -a**4/5 - 72*a**3/5 - 273*a**2 - 490*a.
-a*(a + 2)*(a + 35)**2/5
Find p, given that 26*p**5/9 - 94*p**4/3 + 1126*p**3/9 - 214*p**2 + 120*p + 24 = 0.
-2/13, 2, 3
Suppose 2*q**4/5 - 6*q**3/5 - 48*q**2/5 + 32*q = 0. What is q?
-5, 0, 4
Solve -x**3/4 + 487*x**2/4 = 0 for x.
0, 487
Factor -g**2/4 + 2057*g/2 - 4231249/4.
-(g - 2057)**2/4
Determine m, given that 2*m**2/13 + 1452*m/13 - 224 = 0.
-728, 2
Factor f**4/2 + 21*f**3/2 - 3*f**2/2 - 65*f/2 - 21.
(f - 2)*(f + 1)**2*(f + 21)/2
Let 3*t**3/2 - 24*t**2 - 297*t/2 - 189 = 0. Calculate t.
-3, -2, 21
Factor i**2/8 + 27*i/4.
i*(i + 54)/8
Let m**2/3 + 59*m - 558 = 0. Calculate m.
-186, 9
Solve 3*x**3 + 120*x**2 + 1404*x + 3888 = 0.
-18, -4
Let 8*v**3/9 + 1602*v**2 + 2166004*v/3 + 1623602/9 = 0. Calculate v.
-901, -1/4
Suppose 2*z**2/15 - 16*z/15 + 32/15 = 0. Calculate z.
4
Solve 2*c**3/13 + 184*c**2/13 - 3798*c/13 + 17820/13 = 0.
-110, 9
Determine t so that -6*t**5 + 40*t**4 - 24*t**3 - 132*t**2 - 2*t + 60 = 0.
-1, 2/3, 3, 5
Factor 2*k**2 - 484*k + 29282.
2*(k - 121)**2
Factor 45*v**3 + 186*v**2 + 204*v + 24.
3*(v + 2)**2*(15*v + 2)
Let -3*x**2 + 243*x - 474 = 0. Calculate x.
2, 79
Factor -q**3 + 256*q**2 + 4851*q + 22194.
-(q - 274)*(q + 9)**2
Factor 2645*f**2 - 1150*f + 125.
5*(23*f - 5)**2
Determine p, given that 2*p**4 + 4*p**3 - 26*p**2 - 76*p - 48 = 0.
-3, -2, -1, 4
Determine j so that 3*j**5/7 + 27*j**4/7 + 30*j**3/7 - 234*j**2/7 - 465*j/7 - 225/7 = 0.
-5, -1, 3
Factor -h**3 + 15*h**2 + 94*h + 120.
-(h - 20)*(h + 2)*(h + 3)
Factor -9*u**3 + 1230*u**2 + 411*u.
-3*u*(u - 137)*(3*u + 1)
Let k**2/2 + 5*k/2 - 7 = 0. What is k?
-7, 2
Determine r so that -5*r**5 - 20*r**4 + 50*r**2 + 5*r - 30 = 0.
-3, -2, -1, 1
Factor 2*g**3 - 144*g**2 - 3480*g - 18400.
2*(g - 92)*(g + 10)**2
Determine p, given that -p**4/2 + 33*p**3 + 347*p**2/2 + 282*p + 142 = 0.
-2, -1, 71
Factor -2*n**4 + 34*n**2 - 72*n + 40.
-2*(n - 2)**2*(n - 1)*(n + 5)
Solve -262*c**2 - 2886*c - 44 = 0 for c.
-11, -2/131
Suppose c**3/8 + 13*c**2/8 + 5*c + 9/2 = 0. Calculate c.
-9, -2
Factor 27*a**3 + 222*a**2 + 372*a + 72.
3*(a + 2)*(a + 6)*(9*a + 2)
Find l, given that l**4 - 17*l**3 + 55*l**2 - 39*l = 0.
0, 1, 3, 13
What is v in -55*v**3 - 10*v**2 + 220*v + 40 = 0?
-2, -2/11, 2
Factor 2*w**5 + 2*w**4 - 128*w**3 - 128*w**2.
2*w**2*(w - 8)*(w + 1)*(w + 8)
Determine y, given that -6*y**3/7 + 130*y**2/7 + 48*y/7 - 88/7 = 0.
-1, 2/3, 22
Solve 3*b**5/5 - 27*b**4/5 + 3*b**3/5 + 171*b**2/5 - 6*b/5 - 144/5 = 0.
-2, -1, 1, 3, 8
Factor 3*o**3 + 63*o**2 + 54*o - 120.
3*(o - 1)*(o + 2)*(o + 20)
Find y such that -y**2/6 - 205*y/6 + 69 = 0.
-207, 2
Solve -2*w**4/5 - 20*w**3 + 214*w**2/5 + 312*w/5 = 0 for w.
-52, -1, 0, 3
Solve 2*a**3 - 10*a**2 - 12*a = 0 for a.
-1, 0, 6
Let 2*r**3 + 76*r**2 + 400*r + 512 = 0. What is r?
-32, -4, -2
Find k such that -k**5/9 + k**4/9 + 2*k**3/3 + 2*k**2/9 - 5*k/9 - 1/3 = 0.
-1, 1, 3
Factor 3*g**2 + 234*g.
3*g*(g + 78)
Factor 3*t**2/2 + 315*t + 1236.
3*(t + 4)*(t + 206)/2
Factor 7*y**2/6 + 19*y/6 - 1.
(y + 3)*(7*y - 2)/6
Factor 81*q**2 - 141*q - 42.
3*(q - 2)*(27*q + 7)
Factor 8*w**4 - 3256*w**3 + 332922*w**2 - 330484*w + 82418.
2*(w - 203)**2*(2*w - 1)**2
Find p such that 2*p**3 - 22*p**2 + 48*p + 72 = 0.
-1, 6
Factor 2*f**4 - 20*f**3 + 50*f**2.
2*f**2*(f - 5)**2
What is l in -34*l**3/21 - 16*l**2/7 + 2*l/7 + 20/21 = 0?
-1, 10/17
Suppose 56*r**4 + 1902*r**3 + 1776*r**2 - 202*r - 132 = 0. Calculate r.
-33, -1, -1/4, 2/7
What is w in -2*w**3/9 + 484*w**2/9 - 29282*w/9 = 0?
0, 121
What is k in 2*k**4/15 - 174*k**3 - 2614*k**2/5 - 7846*k/15 - 872/5 = 0?
-1, 1308
Determine b, given that b**3 - 23*b**2 + 143*b - 121 = 0.
1, 11
Determine u so that -u**4/2 + 41*u**3 - 120*u**2 + 119*u - 79/2 = 0.
1, 79
Factor 24*l**3 - 500*l**2 + 828*l + 152.
4*(l - 19)*(l - 2)*(6*l + 1)
Suppose x**2 + 495*x + 494 = 0. What is x?
-494, -1
Determine g, given that -2*g**2 + 226*g + 696 = 0.
-3, 116
Determine i so that i**4 + 142*i**3 - 432*i**2 + 434*i - 145 = 0.
-145, 1
Factor -4*d**5 + 16*d**3 - 8*d**2 - 12*d + 8.
-4*(d - 1)**3*(d + 1)*(d + 2)
Find i such that -4*i**2 + 92*i - 480 = 0.
8, 15
Find r, given that -3*r**5/2 - 52*r**4 - 2785*r**3/6 - 927*r**2 + 1918*r - 2156/3 = 0.
-22, -7, 2/3
Let -3*k**4/5 + 261*k**3/5 - 6669*k**2/5 + 53067*k/5 = 0. Calculate k.
0, 19, 49
Let -t**4 + 10*t**3 + 191*t**2 + 180*t = 0. Calculate t.
-9, -1, 0, 20
Solve -y**3/5 - 112*y**2/5 - 329*y/5 - 218/5 = 0.
-109, -2, -1
Factor j**2/2 - 215*j + 46225/2.
(j - 215)**2/2
Suppose 4*q**5 + 4*q**4 - 112*q**3 + 80*q**2 + 192*q = 0. Calculate q.
-6, -1, 0, 2, 4
Let -4*a**4 - 176*a**3 + 748*a**2 - 952*a + 384 = 0. What is a?
-48, 1, 2
Factor -d**2 - 7*d + 18.
-(d - 2)*(d + 9)
Factor 3*n**3 + 12*n**2 - 132*n - 288.
3*(n - 6)*(n + 2)*(n + 8)
Determine a so that 4*a**2 + 1368*a + 116964 = 0.
-171
Determine k so that -5*k**4 - 65*k**3 - 275*k**2 - 375*k = 0.
-5, -3, 0
Determine f, given that -f**2 - 361*f - 1074 = 0.
-358, -3
Factor v**3 - 30*v**2 + 192*v + 512.
(v - 16)**2*(v + 2)
Let -4*k**5/3 + 11*k**4/9 + 98*k**3/9 - 137*k**2/9 - 20*k/9 + 4/3 = 0. What is k?
-3, -1/3, 1/4, 2
Factor -5*p**3 + 55*p**2 - 15*p - 675.
-5*(p - 9)*(p - 5)*(p + 3)
Suppose 4*o**3 + 100*o**2 - 4*o - 100 = 0. Calculate o.
-25, -1, 1
Factor -2*z**2/11 - 76*z/11 - 690/11.
-2*(z + 15)*(z + 23)/11
Find d such that 4*d**4 + 20*d**3 + 8*d**2 - 80*d - 96 = 0.
-3, -2, 2
Factor -5*n**3 + 240*n**2 - 460*n.
-5*n*(n - 46)*(n - 2)
Suppose 3*a**3 - 3129*a**2 + 814320*a + 817452 = 0. What is a?
-1, 522
Factor -5*o**5/11 - 32*o**4/11 - 72*o**3/11 - 64*o**2/11 - 16*o/11.
-o*(o + 2)**3*(5*o + 2)/11
Determine a, given that 3*a**3/4 - 63*a**2/4 + 21*a/2 + 90 = 0.
-2, 3, 20
What is z in -5*z**5 + 15*z**4 + 50*z**3 = 0?
-2, 0, 5
Suppose 15*h**4 + 99*h**3 + 198*h**2 + 84*h - 72 = 0. Calculate h.
-3, -2, 2/5
Factor i**5/5 + 8*i**4/5 + 4*i**3 + 16*i**2/5.
i**2*(i + 2)**2*(i + 4)/5
Determine v so that -18*v**2/7 + 1210*v/7 - 268/7 = 0.
2/9, 67
Factor 3*i**3/2 - 33*i**2 - 3*i/2 + 33.
3*(i - 22)*(i - 1)*(i + 1)/2
Factor -n**2/4 + 17*n/4 - 13.
-(n - 13)*(n - 4)/4
Let -2*l**5/9 + 992*l**4/9 + 3988*l**3/9 + 5992*l**2/9 + 3998*l/9 + 1000/9 = 0. What is l?
-1, 500
Factor 5*u**2 + 2470*u + 7365.
5*(u + 3)*(u + 491)
Find u, given that 3*u**5/8 + 123*u**4/4 + 4383*u**3/8 + 3255*u**2 + 9975*u/2 + 2250 = 0.
-60, -10, -1
Solve -r**5/3 + 10*r**4/3 - 14*r**3/3 - 64*r**2/3 + 29*r + 42 = 0.
-2, -1, 3, 7
Factor 4*b**4 + 1956*b**3 + 240096*b**2 + 238144*b.
4*b*(b + 1)*(b + 244)**2
Solve -4*n**4 + 140*n**3 - 396*n**2 + 388*n - 128 = 0.
1, 32
Let 4*p**4 - 28*p**3 - 156*p**2 - 212*p - 88 = 0. Calculate p.
-2, -1, 11
Find h such that 2*h**4/9 - 10*h**3 - 382*h**2/9 - 54*h - 196/9 = 0.
-2, -1, 49
Suppose -15*b**5 + 850*b**4 + 310*b**3 - 1420*b**2 - 295*b + 570 = 0. Calculate b.
-1, 2/3, 1, 57
Suppose 10*o**2 - 205*o + 525 = 0. What is o?
3, 35/2
What is t in -2*t**5/7 + 1024*t**4/7 + 3084*t**3/7 + 3088*t**2/7 + 1030*t/7 = 0?
-1, 0, 515
Find n such that 12*n**5 + 99*n**4 + 276*n**3 + 327*n**2 + 162*n + 24 = 0.
-4, -2, -1, -1/4
Factor 2*i**2 - 2*i - 40.
2*(i - 5)*(i + 4)
Solve -2*r**5/5 - 2*r**4 + 372*r**3/5 - 1656*r**2/5 + 1296*r/5 = 0.
-18, 0, 1, 6
Factor -5*z**3 - 25*z**2 - 40*z - 20.
-5*(z + 1)*(z + 2)**2
Factor 2*s**2/3 - 212*s - 1280/3.
2*(s - 320)*(s + 2)/3
Solve -k**5/3 + 10*k**4/3 - 13*k**3 + 74*k**2/3 - 68*k/3 + 8 = 0 for k.
1, 2, 3
Solve l**3/3 - 16*l**2 + 125*l/3 + 150 = 0.
-2, 5, 45
Determine v, given that 2*v**3/13 - 110*v**2/13 - 2*v/13 + 110/13 = 0.
-1, 1, 55
Factor 66*s**2 + 40*s - 26.
2*(s + 1)*(33*s - 13)
Find w such that w**4/10 + 57*w**3/10 - w**2/10 - 57*w/10 = 0.
-57, -1, 0, 1
Determine k so that -8*k**4/7 - 318*k**3/7 - 2746*k**2/7 + 1290*k + 1638 = 0.
-21, -1, 13/4
Factor -21*g**2/4 + 167*g/2 + 8.
-(g - 16)*(21*g + 2)/4
Let -w**5/3 + 5*w**4/3 + 17*w**3 - 265*w**2/3 - 550*w/3 + 1000 = 0. What is w?
-6, -4, 5
Suppose -2*g**2/13 + 314*g/13 + 316/13 = 0. Calculate g.
-1, 158
Solve 3*o**4/5 + 42*o**3/5 + 99*o**2/5 - 336*o/5 + 192/5 = 0.
-8, 1
What is b in -4*b**3/5 + 104*b**2 - 2016*b/5 = 0?
0, 4, 126
Factor -2*k*