3*g**2/2 + 807*g/2 - 402.
-3*(g - 268)*(g - 1)/2
Find f, given that -f**5 + 31*f**4 - 298*f**3 + 638*f**2 + 2299*f + 1331 = 0.
-1, 11
Factor 10*t**2 + 24*t + 8.
2*(t + 2)*(5*t + 2)
Factor 5*k**2 + 175*k + 620.
5*(k + 4)*(k + 31)
Find h, given that 3*h**2 - 2109*h - 6354 = 0.
-3, 706
Find r, given that 2*r**4/3 + 340*r**3/3 = 0.
-170, 0
Factor 9*k**4 + 105*k**3 + 63*k**2 - 33*k.
3*k*(k + 1)*(k + 11)*(3*k - 1)
Factor -h**2 - 96*h - 2304.
-(h + 48)**2
Suppose 4*d**5 - 8*d**4 - 132*d**3 + 392*d**2 + 128*d - 384 = 0. What is d?
-6, -1, 1, 4
Factor -5*c**4 - 15*c**3 - 15*c**2 - 5*c.
-5*c*(c + 1)**3
Factor 10*j**3 - 404*j**2 + 160*j.
2*j*(j - 40)*(5*j - 2)
Solve -2*d**3/3 + 80*d**2/3 - 1024*d/3 + 4096/3 = 0.
8, 16
Solve 4*x**4 - 100*x**3 + 184*x**2 = 0 for x.
0, 2, 23
Find k, given that -15*k**4 - 669*k**3 + 4110*k**2 + 2964*k - 1800 = 0.
-50, -1, 2/5, 6
Let -u**3 - 7*u**2 - 8*u + 16 = 0. Calculate u.
-4, 1
Factor -6*f**3/11 - 56*f**2/11 - 18*f/11.
-2*f*(f + 9)*(3*f + 1)/11
Factor p**2 - 4*p - 21.
(p - 7)*(p + 3)
Factor -d**2 + 40*d - 384.
-(d - 24)*(d - 16)
Let -2*c**2/9 + 10*c/9 + 588 = 0. What is c?
-49, 54
Suppose -4*r**4 - 164*r**3 - 1140*r**2 - 2844*r - 2376 = 0. What is r?
-33, -3, -2
Suppose -o**4/3 + 5*o**3/3 - 7*o**2/3 + o = 0. What is o?
0, 1, 3
Suppose q**2/9 + 15*q + 44 = 0. Calculate q.
-132, -3
Let 2*x**4/5 - 1038*x**3/5 + 6174*x**2/5 - 9234*x/5 = 0. Calculate x.
0, 3, 513
Suppose 32*d**2/5 + 146*d + 698/5 = 0. Calculate d.
-349/16, -1
Determine f, given that 2*f**3/15 - 74*f**2/15 + 28*f/3 = 0.
0, 2, 35
Factor -7*u**3 - 877*u**2 + 1528*u + 508.
-(u - 2)*(u + 127)*(7*u + 2)
Factor -y**3 - 38*y**2 - 37*y.
-y*(y + 1)*(y + 37)
Determine l so that -2*l**2/7 + 10*l/7 + 12/7 = 0.
-1, 6
Solve -2*c**3 - 4*c**2 = 0.
-2, 0
Determine m so that 220*m**5 + 700*m**4 - 3345*m**3 + 2230*m**2 - 140*m - 120 = 0.
-6, -2/11, 1/2, 2
Factor 3*a**2/5 + 126*a/5 - 81.
3*(a - 3)*(a + 45)/5
Suppose -2*a**2/13 - 380*a/13 - 752/13 = 0. Calculate a.
-188, -2
Factor -d**4/4 + d**3/2 + d**2/4 - d/2.
-d*(d - 2)*(d - 1)*(d + 1)/4
Solve -5*b**4 + 20*b**3 + 355*b**2 + 330*b = 0 for b.
-6, -1, 0, 11
Suppose -2*w**2/5 - 5048*w/5 - 3185288/5 = 0. Calculate w.
-1262
Suppose -t**3 - 62*t**2/5 - 204*t/5 - 72/5 = 0. Calculate t.
-6, -2/5
Determine d so that 3*d**4/5 - 27*d**3/5 - 348*d**2/5 - 972*d/5 - 816/5 = 0.
-4, -2, 17
Solve 5*l**4 - 90*l**3 - 545*l**2 - 690*l = 0 for l.
-3, -2, 0, 23
Solve 3*v**2 - 1650*v + 226875 = 0 for v.
275
Factor -h**2/7 + 47*h/7 + 48/7.
-(h - 48)*(h + 1)/7
What is w in 45*w**5 - 9415*w**4 + 20675*w**3 + 5275*w**2 - 20720*w + 4140 = 0?
-1, 2/9, 1, 2, 207
What is a in -a**2/5 - 32*a/5 + 68/5 = 0?
-34, 2
What is p in -2*p**5/7 + 10*p**4/7 + 10*p**3/7 - 90*p**2/7 + 72*p/7 = 0?
-3, 0, 1, 3, 4
Suppose 5*l**3 - 2635*l**2 = 0. Calculate l.
0, 527
Factor 2*m**2 + 4496*m + 2526752.
2*(m + 1124)**2
Factor -2*c**3 + 18*c**2 - 40*c + 24.
-2*(c - 6)*(c - 2)*(c - 1)
Solve -7*p**4 - 26*p**3 - 20*p**2 + 8*p = 0 for p.
-2, 0, 2/7
Factor -n**4/3 - n**3/3 + n**2 + 5*n/3 + 2/3.
-(n - 2)*(n + 1)**3/3
Factor 3*v**2/8 + 27*v/2 + 945/8.
3*(v + 15)*(v + 21)/8
Factor 2*w**3/3 - 8*w**2 + 24*w.
2*w*(w - 6)**2/3
Factor -t**5/2 - 29*t**4/2 - 52*t**3 - 50*t**2.
-t**2*(t + 2)**2*(t + 25)/2
Find h such that -2*h**5/3 - 26*h**4/3 - 30*h**3 - 22*h**2/3 + 140*h/3 = 0.
-7, -5, -2, 0, 1
Solve -u**4/7 - 40*u**3/7 - 468*u**2/7 - 1296*u/7 = 0.
-18, -4, 0
What is g in -10*g**2/9 - 3298*g/9 - 2632/9 = 0?
-329, -4/5
Factor -10*t**2 + 155*t + 80.
-5*(t - 16)*(2*t + 1)
Factor -2*q**2/5 + 74*q/5 - 624/5.
-2*(q - 24)*(q - 13)/5
Factor 4*w**3 - 3252*w - 3248.
4*(w - 29)*(w + 1)*(w + 28)
Suppose -3*i**2 + 5*i/4 = 0. What is i?
0, 5/12
Determine i, given that 6*i**3/5 + 188*i**2/5 + 58*i/5 - 124/5 = 0.
-31, -1, 2/3
What is d in 4*d**4 + 76*d**3 + 292*d**2 + 132*d - 504 = 0?
-14, -3, 1
Factor 2*r**2 - 1022*r + 1020.
2*(r - 510)*(r - 1)
Factor 4*z**2 - 1672*z + 174724.
4*(z - 209)**2
Find f such that -4*f**3 + 48*f**2 - 140*f = 0.
0, 5, 7
Factor 4*j**4 + 48*j**3 + 108*j**2 - 16*j - 144.
4*(j - 1)*(j + 2)**2*(j + 9)
Factor -4*a**3 - 84*a**2 - 156*a - 76.
-4*(a + 1)**2*(a + 19)
Determine g, given that -4*g**5 - 4*g**4 + 24*g**3 + 56*g**2 + 44*g + 12 = 0.
-1, 3
Factor 4*h**2 - 168*h + 164.
4*(h - 41)*(h - 1)
Factor g**3 - 3*g**2 - 16*g - 12.
(g - 6)*(g + 1)*(g + 2)
Factor -4*r**2/7 + 42136*r/7 - 110965156/7.
-4*(r - 5267)**2/7
Factor -4*u**4 + 12*u**3 + 372*u**2 + 692*u + 336.
-4*(u - 12)*(u + 1)**2*(u + 7)
Suppose -f**5/4 - 2*f**4 - 7*f**3/4 = 0. Calculate f.
-7, -1, 0
Let -l**2/8 - 261*l/4 - 521/8 = 0. Calculate l.
-521, -1
Solve 5*q**5 - 50*q**4 + 160*q**3 - 160*q**2 = 0 for q.
0, 2, 4
Determine f, given that -2*f**2/3 + 32*f/3 = 0.
0, 16
Factor -3*h**2/4 + 21*h - 147.
-3*(h - 14)**2/4
Factor 2*v**3 + 1718*v**2 - 1720*v.
2*v*(v - 1)*(v + 860)
Factor 4*j**5 - 12*j**4 + 12*j**3 - 4*j**2.
4*j**2*(j - 1)**3
Solve -l**3/2 + 33*l**2/2 - 90*l - 250 = 0 for l.
-2, 10, 25
Suppose 2*p**4/13 - 24*p**3/13 + 8*p**2 - 192*p/13 + 128/13 = 0. Calculate p.
2, 4
Solve 4*k**2 - 4 = 0 for k.
-1, 1
Factor -4*q**2 - 9200*q - 5290000.
-4*(q + 1150)**2
Factor -2*j**2 - 4*j.
-2*j*(j + 2)
Solve s**3/4 - 29*s**2/2 - 181*s/4 - 61/2 = 0 for s.
-2, -1, 61
Factor 5*p**4 + 50*p**3 - 255*p**2 + 340*p - 140.
5*(p - 2)*(p - 1)**2*(p + 14)
Let w**4 + 2*w**3 - 24*w**2 - 50*w - 25 = 0. What is w?
-5, -1, 5
Suppose -3*g**5 - 27*g**4 + 12*g**3 + 108*g**2 = 0. What is g?
-9, -2, 0, 2
Factor 5*r**3/2 + 3*r**2/2 - 77*r/2 + 69/2.
(r - 3)*(r - 1)*(5*r + 23)/2
Factor -28*o**3 - 2080*o**2 - 15376*o - 4224.
-4*(o + 8)*(o + 66)*(7*o + 2)
Solve -3*p**3 - 57*p**2 - 204*p + 660 = 0 for p.
-11, -10, 2
What is x in -14*x**5/9 - 20*x**4/3 - 58*x**3/9 - 4*x**2/3 = 0?
-3, -1, -2/7, 0
Determine p so that -3*p**4/7 + 9*p**2/7 + 6*p/7 = 0.
-1, 0, 2
Determine l so that 566*l**4/13 - 1128*l**3/13 - 8*l**2/13 = 0.
-2/283, 0, 2
Solve 4*r**5 - 39*r**4 - 105*r**3 - 41*r**2 + 57*r + 36 = 0 for r.
-1, 3/4, 12
Find z such that -20*z**4/7 + 404*z**3/7 + 1392*z**2/7 + 80*z/7 - 1856/7 = 0.
-2, 1, 116/5
Factor -w**5 + 81*w**4 - 79*w**3 - 81*w**2 + 80*w.
-w*(w - 80)*(w - 1)**2*(w + 1)
Find g such that 2*g**5/11 - 6*g**4/11 - 30*g**3/11 - 34*g**2/11 - 12*g/11 = 0.
-1, 0, 6
Factor 14*i**5/9 - 68*i**4/9 + 8*i**3 + 80*i**2/9 - 128*i/9.
2*i*(i - 2)**3*(7*i + 8)/9
Suppose 5*p**2 + 420*p + 8820 = 0. What is p?
-42
Factor -2939*h**3/5 + 2941*h**2/5 - 2*h/5.
-h*(h - 1)*(2939*h - 2)/5
Factor -3*p**3 + 921*p**2 + 3*p - 921.
-3*(p - 307)*(p - 1)*(p + 1)
Find f, given that -3*f**5/4 - 21*f**4/2 - 39*f**3/4 + 189*f**2 - 243*f = 0.
-9, 0, 2
Solve -2*b**2 - 128*b + 130 = 0.
-65, 1
Suppose -j**4/5 - 14*j**3/5 - 13*j**2/5 = 0. Calculate j.
-13, -1, 0
Factor -4*c**2 + 448*c - 880.
-4*(c - 110)*(c - 2)
Factor -v**2/9 - 940*v/9 + 943/3.
-(v - 3)*(v + 943)/9
Solve 3*j**4/2 - 81*j**3/2 + 45*j**2 + 2688*j + 7056 = 0 for j.
-4, 14, 21
Factor -5*k**4 + 95*k**3 + 435*k**2 + 565*k + 230.
-5*(k - 23)*(k + 1)**2*(k + 2)
Factor -q**2/9 - 104*q/9 - 2704/9.
-(q + 52)**2/9
Let -3*j**5/4 - 18*j**4 - 177*j**3/2 + 234*j**2 - 507*j/4 = 0. What is j?
-13, 0, 1
Factor -5*s**4 + 95*s**3 + 315*s**2 + 325*s + 110.
-5*(s - 22)*(s + 1)**3
Factor 3*h**4/7 - 15*h**3/7 + 3*h**2 - 9*h/7.
3*h*(h - 3)*(h - 1)**2/7
Factor 20*y**3 + 12*y**2 - 36*y - 28.
4*(y + 1)**2*(5*y - 7)
Factor t**2/6 + 17*t/6 + 8/3.
(t + 1)*(t + 16)/6
Determine u, given that u**3 - 159*u**2 - 1674*u - 2704 = 0.
-8, -2, 169
What is y in -6*y**2 + 255*y/4 + 99/4 = 0?
-3/8, 11
Factor 3*j**3/4 + 69*j**2 - 3*j - 276.
3*(j - 2)*(j + 2)*(j + 92)/4
Let -19*h**4/5 - 39*h**3/5 - 21*h**2/5 - h/5 = 0. What is h?
-1, -1/19, 0
Find c, given that -4*c**2/3 + 92*c + 568/3 = 0.
-2, 71
Factor 3*x**3/4 + 18*x**2 - 81*x + 84.
3*(x - 2)**2*(x + 28)/4
Factor -r**3/3 + 14*r**2/3 - 11*r/3 - 26/3.
-(r - 13)*(r - 2)*(r + 1)/3
What is p in -3*p**4/5 + 9138*p**3/5 - 1856232*p**2 + 629261430*p - 627407025 = 0?
1, 1015
Solve -g**5/9 - 10*g**4/9 + 7*g**3/3 + 214*g**2/9 - 608*g/9 + 128/3 = 0.
-8, 1, 2, 3
Find i, given that 2*i**4 + 180*i**3 + 1808*i**2 + 5580*i + 3950 = 0.
-79, -5, -1
Factor 5*v**3 - 15*v + 10.
5*(v - 1)**2*(v + 2)
Factor -21*u**2 - 69*u - 18.
-3*(u + 3)*(7*u + 2)
Suppose 2*j**4/3 - 40*j**3/3 + 298*j**2/3 - 980*j/3 + 400 = 0. Calculate j.
4, 5, 6
Factor -3*m**4 -