
-377, -2
Let -6*q**4 + 464*q**3 - 1930*q**2 + 2344*q - 584 = 0. Calculate q.
1/3, 2, 73
Solve -4*a**2/7 + 2192*a/7 - 2188/7 = 0.
1, 547
Factor -r**2/3 - 4*r/3 + 77/3.
-(r - 7)*(r + 11)/3
What is b in -28*b**4 + 2172*b**3 - 39384*b**2 - 106880*b - 38400 = 0?
-2, -3/7, 40
Factor -d**2/3 + 2828*d/3 - 1999396/3.
-(d - 1414)**2/3
Factor -z**4/4 + 2*z**3 - 3*z**2.
-z**2*(z - 6)*(z - 2)/4
Suppose 4*o**2 + 44*o + 120 = 0. Calculate o.
-6, -5
Find s, given that -s**3 - 19*s**2 - 55*s + 363 = 0.
-11, 3
Factor 20*r**4 + 188*r**3 + 232*r**2 + 64*r.
4*r*(r + 1)*(r + 8)*(5*r + 2)
Suppose -3*l**2/7 - 18*l + 405/7 = 0. What is l?
-45, 3
Factor 3*a**2/5 + 519*a/5 + 1026/5.
3*(a + 2)*(a + 171)/5
Suppose 2*y**3/7 + 4*y**2 + 50*y/7 + 24/7 = 0. What is y?
-12, -1
Factor 5*k**2 - 115*k - 120.
5*(k - 24)*(k + 1)
Let -232*d**2/3 + 44*d - 8/3 = 0. What is d?
2/29, 1/2
Solve -5*s**4 + 50*s**3 + 20*s**2 - 770*s - 735 = 0.
-3, -1, 7
Find t such that -t**4/3 + 158*t**3/3 - 6241*t**2/3 = 0.
0, 79
Factor 12*d**4 - 76*d**3 - 192*d**2 + 256*d.
4*d*(d - 8)*(d - 1)*(3*d + 8)
Let -2*x**2/15 + 194*x/3 - 968/15 = 0. What is x?
1, 484
What is q in -4*q**4/5 - 56*q**3/5 = 0?
-14, 0
Suppose -2*f**3/11 + 304*f**2/11 + 930*f/11 = 0. Calculate f.
-3, 0, 155
Determine j so that 2*j**5/9 - 20*j**4/9 + 76*j**3/9 - 136*j**2/9 + 38*j/3 - 4 = 0.
1, 2, 3
Suppose -2*p**4/3 + 2376*p**3 - 3175524*p**2 + 1886261256*p - 420164694774 = 0. What is p?
891
Suppose -2*v**2/5 + 104*v/5 = 0. Calculate v.
0, 52
Find t such that -8*t**5 + 26*t**4 + 66*t**3 + 22*t**2 - 10*t = 0.
-1, 0, 1/4, 5
Solve -4*v**4 - 144*v**3 - 728*v**2 + 11760*v + 12348 = 0.
-21, -1, 7
What is c in -2*c**2/3 + 32*c - 168 = 0?
6, 42
Find o such that 2*o**2/5 + 636*o/5 + 1264/5 = 0.
-316, -2
Find i, given that -2*i**2/11 + 18*i/11 + 104/11 = 0.
-4, 13
Factor -g**2 - 72*g - 140.
-(g + 2)*(g + 70)
Suppose -3*j**5/8 - 9*j**4/8 + 24*j**3 - 45*j**2/2 = 0. What is j?
-10, 0, 1, 6
Let 80*l**5 - 320*l**4 + 75*l**3 + 500*l**2 - 5*l - 30 = 0. Calculate l.
-1, -1/4, 1/4, 2, 3
Determine z so that z**3 - 10*z**2 + 7*z + 18 = 0.
-1, 2, 9
Solve -2*z**3 + 132*z**2 - 130*z = 0 for z.
0, 1, 65
Suppose 4*y**3 - 52*y**2 + 168*y = 0. Calculate y.
0, 6, 7
Solve -t**5 + 110*t**4/3 - 412*t**3 + 4232*t**2/3 - 1792*t + 2048/3 = 0.
2/3, 2, 16
Find j, given that 2*j**4 - 12*j**3 + 10*j**2 = 0.
0, 1, 5
Factor -45*j**3 + 35*j**2 + 910*j + 200.
-5*(j - 5)*(j + 4)*(9*j + 2)
Factor -10960*m**2 + 10965*m - 5.
-5*(m - 1)*(2192*m - 1)
Factor -4*d**2/5 - 16*d/5 - 16/5.
-4*(d + 2)**2/5
Factor -r**4/4 + 3*r**2/4 + r/2.
-r*(r - 2)*(r + 1)**2/4
Suppose -o**5 - 45*o**4 - 128*o**3 - 84*o**2 = 0. Calculate o.
-42, -2, -1, 0
Suppose 3*f**2 - 54*f + 51 = 0. Calculate f.
1, 17
What is l in 3*l**2 - 24*l - 720 = 0?
-12, 20
Factor 5*x**3/2 + 15*x**2 - 605*x/2 + 525.
5*(x - 7)*(x - 2)*(x + 15)/2
Suppose 2*b**4 + 14*b**3 - 94*b**2 - 30*b + 396 = 0. Calculate b.
-11, -2, 3
What is v in -v**5/9 - v**4/9 + v**3/3 + v**2/9 - 2*v/9 = 0?
-2, -1, 0, 1
Find v, given that -2*v**5 + 52*v**4 - 404*v**3 + 408*v**2 + 4806*v - 4860 = 0.
-3, 1, 9, 10
Factor -t**2/10 - 3*t/2 - 13/5.
-(t + 2)*(t + 13)/10
Solve 3*a**3/7 + 221*a**2/7 - 300*a/7 = 0 for a.
-75, 0, 4/3
Determine v, given that v**2/2 + 16*v + 207/2 = 0.
-23, -9
Determine h, given that 4*h**3 - 8760*h**2 - 35088*h - 35104 = 0.
-2, 2194
Factor -32*t**2/7 - 48*t/7 - 18/7.
-2*(4*t + 3)**2/7
Suppose 2*t**3/15 + 12*t**2/5 + 54*t/5 = 0. Calculate t.
-9, 0
Determine l so that -2*l**3/7 + 24*l**2/7 - 58*l/7 + 36/7 = 0.
1, 2, 9
Solve s**4 + 15*s**3 + 42*s**2 - 92*s - 120 = 0 for s.
-10, -6, -1, 2
Factor -3*j**4/8 + 33*j**3/8 + 117*j**2/8 + 123*j/8 + 21/4.
-3*(j - 14)*(j + 1)**3/8
Determine p so that -2*p**2/11 + 1624*p/11 - 329672/11 = 0.
406
What is d in 3*d**3/2 + 12*d**2 - 18*d - 216 = 0?
-6, 4
What is j in -j**2/8 - 31*j/8 - 21/2 = 0?
-28, -3
Factor -2*b**4 - 4*b**3 + 26*b**2 - 20*b.
-2*b*(b - 2)*(b - 1)*(b + 5)
Find u, given that 3*u**2 + 267*u = 0.
-89, 0
Determine k, given that 3*k**3/7 + 120*k**2/7 + 132*k - 5808/7 = 0.
-22, 4
Factor 9*o**3 + 3*o**2/2 - 9*o - 3/2.
3*(o - 1)*(o + 1)*(6*o + 1)/2
Factor 4*q**4 + 26*q**3 + 26*q**2 - 20*q.
2*q*(q + 2)*(q + 5)*(2*q - 1)
Factor -l**4 + 2*l**3 + 3*l**2 - 8*l + 4.
-(l - 2)*(l - 1)**2*(l + 2)
Factor -m**4 - 24*m**3 + 141*m**2 - 116*m.
-m*(m - 4)*(m - 1)*(m + 29)
Factor 4*u**3 + 72*u**2 - 4*u - 72.
4*(u - 1)*(u + 1)*(u + 18)
Factor 5*n**4 + 215*n**3 - 2485*n**2 + 8565*n - 9540.
5*(n - 4)*(n - 3)**2*(n + 53)
What is d in 3*d**4/7 + 96*d**3/7 + 549*d**2/7 + 552*d/7 - 1200/7 = 0?
-25, -4, 1
Let -18*x**5/5 - 8*x**4 - 26*x**3/5 - 4*x**2/5 = 0. Calculate x.
-1, -2/9, 0
What is t in -2*t**5/5 + 4*t**4/5 + 8*t**3/5 - 4*t**2/5 - 6*t/5 = 0?
-1, 0, 1, 3
Factor -4*i**5 - 8*i**4 - 5*i**3 - i**2.
-i**2*(i + 1)*(2*i + 1)**2
What is t in -2*t**4/9 - 74*t**3/9 - 820*t**2/9 - 2176*t/9 + 1024/3 = 0?
-16, -6, 1
Suppose 3*p**2 - 1524*p + 1521 = 0. What is p?
1, 507
Suppose 4*i**3/5 + 3288*i**2/5 + 3284*i/5 = 0. What is i?
-821, -1, 0
Factor 2*d**5 - 2*d**3.
2*d**3*(d - 1)*(d + 1)
Determine c so that -5*c**4 + 10*c**3 + 5*c**2 - 10*c = 0.
-1, 0, 1, 2
What is l in -5*l**5/4 - 17*l**4/2 - 83*l**3/4 - 41*l**2/2 - 5*l + 2 = 0?
-2, -1, 1/5
Let 98*y**3/15 + 1288*y**2/15 + 5632*y/15 + 8192/15 = 0. Calculate y.
-32/7, -4
Find r such that -12*r**4 - 4011*r**3 + 11106*r**2 - 5061*r - 2022 = 0.
-337, -1/4, 1, 2
Determine k, given that 4*k**2/15 - 3838*k/5 - 5758/15 = 0.
-1/2, 2879
Let 5*w**2 + 80*w + 315 = 0. What is w?
-9, -7
What is c in -25*c**2 - 40*c + 20 = 0?
-2, 2/5
Determine m so that m**2/2 - 4*m - 33/2 = 0.
-3, 11
Suppose m**3/4 + 33*m**2/4 = 0. What is m?
-33, 0
Factor -20*b**3 - 28*b**2 + 24*b.
-4*b*(b + 2)*(5*b - 3)
Factor c**3 + 14*c**2 - 35*c - 48.
(c - 3)*(c + 1)*(c + 16)
Suppose -18*y**4/5 - 1004*y**3/5 - 766*y**2/5 + 44*y = 0. Calculate y.
-55, -1, 0, 2/9
Factor r**4/4 + r**3/4 - 45*r**2/4 - 189*r/4 - 54.
(r - 8)*(r + 3)**3/4
Factor j**4 + 27*j**3 - 3*j**2 - 79*j + 54.
(j - 1)**2*(j + 2)*(j + 27)
Find o, given that -4*o**4/7 - 15284*o**3 - 953833680*o**2/7 - 2834157736512*o/7 + 2835111677184/7 = 0.
-8916, 1
Factor s**2/7 + 10*s/7 - 8.
(s - 4)*(s + 14)/7
What is f in -2*f**5/11 - 2*f**4 - 54*f**3/11 - 50*f**2/11 - 16*f/11 = 0?
-8, -1, 0
Factor 3*w**2/7 + 477*w/7 + 474/7.
3*(w + 1)*(w + 158)/7
Let -3*u**2 - 66*u - 363 = 0. Calculate u.
-11
Factor -l**4/4 - l**3/2.
-l**3*(l + 2)/4
Solve -3*x**3 - 45*x**2 - 81*x - 39 = 0.
-13, -1
Factor t**5 + 11*t**4 + 23*t**3 - 47*t**2 - 24*t + 36.
(t - 1)**2*(t + 1)*(t + 6)**2
Determine l, given that -3*l**2 - 930*l - 72075 = 0.
-155
Find h such that 748*h**3 - 14952*h**2 + 14052*h + 152 = 0.
-2/187, 1, 19
Factor -3*z**4 + 33*z**3 + 222*z**2 + 288*z.
-3*z*(z - 16)*(z + 2)*(z + 3)
Factor -15*a**3 - 27*a**2 + 6*a.
-3*a*(a + 2)*(5*a - 1)
Factor 3*y**5/4 - 1581*y**4/4 + 4725*y**3/4 - 4719*y**2/4 + 393*y.
3*y*(y - 524)*(y - 1)**3/4
Find u, given that 147*u**5/2 - 168*u**4 - 5121*u**3/2 + 999*u**2 + 27216*u + 34992 = 0.
-3, -2, 36/7
Find o, given that 4*o**2/3 - 12448*o + 29053632 = 0.
4668
Determine l so that 3*l**4/4 - 25*l**3/2 + 77*l**2/4 - 15*l/2 = 0.
0, 2/3, 1, 15
Solve -2*l**4/9 - 49*l**3/9 + 571*l**2/9 + 107*l/3 - 33 = 0 for l.
-33, -1, 1/2, 9
Find a, given that -a**5/4 - 11*a**4/2 - 115*a**3/4 - 75*a**2/2 = 0.
-15, -5, -2, 0
What is h in -2*h**3/3 + 6*h**2 - 28*h/3 = 0?
0, 2, 7
Factor 64*k**4/3 - 544*k**3/3 - 148*k**2 + 6800*k/3 + 10000/3.
4*(k + 2)**2*(4*k - 25)**2/3
Factor -j**4 + 348*j**3 + 699*j**2 + 350*j.
-j*(j - 350)*(j + 1)**2
Let -2*f**4/9 + 2686*f**3/9 - 133802*f**2 + 20114106*f - 39695388 = 0. Calculate f.
2, 447
Factor g**3/2 + 215*g**2/2 + 107*g.
g*(g + 1)*(g + 214)/2
Factor -24*q**3 - 172*q**2 + 692*q + 120.
-4*(q - 3)*(q + 10)*(6*q + 1)
Let -2*c**5/3 + 2*c**4 + 6*c**3 + 10*c**2/3 = 0. Calculate c.
-1, 0, 5
Factor -42*g**3 - 99*g**2 + 96*g + 45.
-3*(g - 1)*(g + 3)*(14*g + 5)
Solve 2*r**4/5 - 4*r**3/5 - 422*r**2/5 - 2576*r/5 - 3528/5 = 0 for r.
-7, -2, 18
Factor 2*a**2/7 + 964*a/7 + 1920/7.
2*(a + 2)*(a + 480)/7
Factor 4*c**3 - 48*c**2 + 144*c - 128.
4*(c - 8)*(c - 2)**2
Determine l, given that -l**4 + 63*l**3 - 61*l**2 - 63*l + 62 = 0.
-1, 1, 62
Solve -3*s**5 - 6*s**4 + 87*s**3 - 138*s**2 - 60*s + 168 = 0 for s.
-7, -1, 2
Factor -2*p**4 + 4*p**3 + 38*p**2 - 40*p.