*w/5 + 26/5 = 0.
-13, -1
Find l, given that 196*l**3 - 376208*l**2 - 215024*l - 30720 = 0.
-2/7, 1920
Factor -x**3 - 6*x**2 - 5*x.
-x*(x + 1)*(x + 5)
Let -7*m**4/2 + 76*m**3 - 538*m**2 + 1184*m + 384 = 0. Calculate m.
-2/7, 6, 8
Find r such that -5*r**4/3 - 95*r**3 - 1680*r**2 - 28420*r/3 = 0.
-29, -14, 0
Determine n so that 25*n**5/4 - 15*n**4/2 - 34*n**3 + 28*n**2 + 36*n + 8 = 0.
-2, -2/5, 2
Factor -4*j**3 + 16*j**2 + 76*j + 56.
-4*(j - 7)*(j + 1)*(j + 2)
Factor d**2/2 + 3*d - 20.
(d - 4)*(d + 10)/2
Suppose 5*v**2 - 370*v + 1400 = 0. What is v?
4, 70
Factor -5*k**5 - 20*k**4 + 80*k**2 + 80*k.
-5*k*(k - 2)*(k + 2)**3
Solve 2*h**2/13 - 392*h/13 + 776/13 = 0 for h.
2, 194
Determine p so that 15*p**4 - 65*p**3 + 95*p**2 - 55*p + 10 = 0.
1/3, 1, 2
Factor -3*y**2/4 - 381*y/2 - 48387/4.
-3*(y + 127)**2/4
Factor 4*i**2 + 8*i.
4*i*(i + 2)
Factor 2*q**3/17 + 1270*q**2/17 + 202246*q/17 + 200978/17.
2*(q + 1)*(q + 317)**2/17
Factor 4*c**4/9 - 344*c**3/9 + 332*c**2/9 + 680*c/9.
4*c*(c - 85)*(c - 2)*(c + 1)/9
Find b such that -4*b**2 + 60*b + 616 = 0.
-7, 22
Factor 3*o**2 - 27*o + 60.
3*(o - 5)*(o - 4)
Factor -12*t**3 - 628*t**2 - 820*t - 204.
-4*(t + 1)*(t + 51)*(3*t + 1)
Factor -t**4/5 + 113*t**3 - 104859*t**2/5 + 6092327*t/5 + 55742968/5.
-(t - 191)**3*(t + 8)/5
Factor -2*m**3/3 - 346*m**2/3 - 4930*m + 5046.
-2*(m - 1)*(m + 87)**2/3
Factor 3*u**3 + 24*u**2 + 63*u + 54.
3*(u + 2)*(u + 3)**2
Solve -4*p**4 + 20*p**3 + 104*p**2 - 480*p = 0.
-5, 0, 4, 6
Let 2*c**3/3 + 18*c**2 + 382*c/3 + 110 = 0. What is c?
-15, -11, -1
Suppose 4*m**2 - 56*m + 192 = 0. Calculate m.
6, 8
Factor b**3/7 + 38*b**2/7 + 139*b/7 + 102/7.
(b + 1)*(b + 3)*(b + 34)/7
Solve -2*w**4/7 - 4*w**3/7 + 146*w**2/7 + 148*w/7 - 288/7 = 0 for w.
-9, -2, 1, 8
Let -867*a**2/8 - 22185*a/2 - 567675/2 = 0. What is a?
-870/17
Let -2*p**3/9 + 14*p**2/9 + 112*p/9 + 32/3 = 0. What is p?
-4, -1, 12
Factor 4*l**2 - 76*l - 480.
4*(l - 24)*(l + 5)
Factor -20*w**4/3 + 95*w**3/3 + 25*w**2/3.
-5*w**2*(w - 5)*(4*w + 1)/3
Suppose 15*j**3/8 - 411*j**2/8 + 114*j - 75/2 = 0. What is j?
2/5, 2, 25
Let -3*p**4/4 - 135*p**3/4 + 141*p**2/4 + 135*p/4 - 69/2 = 0. Calculate p.
-46, -1, 1
Suppose -t**2 - 31*t - 30 = 0. Calculate t.
-30, -1
What is t in -t**2/5 + 181*t/5 + 182/5 = 0?
-1, 182
Factor -c**2 - 34*c - 225.
-(c + 9)*(c + 25)
Suppose g**2/7 - 2*g/7 - 99/7 = 0. What is g?
-9, 11
Factor -2*w**2/5 - 314*w/5 + 636/5.
-2*(w - 2)*(w + 159)/5
Let -164*m**3/5 + 443*m**2/5 + 29*m + 6/5 = 0. What is m?
-1/4, -2/41, 3
What is s in 3*s**4 + 15*s**3 + 27*s**2 + 21*s + 6 = 0?
-2, -1
Suppose -2*d**3/11 - 4090*d**2/11 - 8174*d/11 - 4086/11 = 0. Calculate d.
-2043, -1
Factor -3*p**4 + 219*p**3 - 426*p**2.
-3*p**2*(p - 71)*(p - 2)
Factor -x**4 - 24*x**3 + 3*x**2 + 74*x + 48.
-(x - 2)*(x + 1)**2*(x + 24)
What is h in -40*h**4 + 30*h**3 + 35*h**2 - 30*h + 5 = 0?
-1, 1/4, 1/2, 1
Factor -q**2 + 234*q - 233.
-(q - 233)*(q - 1)
Factor 5*b**2 - 5*b.
5*b*(b - 1)
What is t in -18*t**4/7 - 1760*t**3/7 - 46138*t**2/7 - 21244*t + 35344/7 = 0?
-47, -4, 2/9
Factor 2*i**2/9 - 6*i + 52/9.
2*(i - 26)*(i - 1)/9
Factor -l**2/5 + 1571*l/5 + 1572/5.
-(l - 1572)*(l + 1)/5
Determine h, given that 2*h**2 + 18*h = 0.
-9, 0
Factor 5*l**3/2 - 55*l**2/2 - 30*l.
5*l*(l - 12)*(l + 1)/2
Factor x**4/5 - 92*x**3/5 + 2022*x**2/5 + 4324*x/5 + 2209/5.
(x - 47)**2*(x + 1)**2/5
Factor -j**4/10 + 13*j**3/10 - 51*j**2/10 + 63*j/10.
-j*(j - 7)*(j - 3)**2/10
Factor 5*y**5 - 30*y**4 + 15*y**3 + 230*y**2 - 540*y + 360.
5*(y - 3)*(y - 2)**3*(y + 3)
Factor -q**3 + 34*q**2 - 31*q - 66.
-(q - 33)*(q - 2)*(q + 1)
Factor 10404*t**2 + 1632*t + 64.
4*(51*t + 4)**2
Factor 6*r**2/5 + 454*r/15 + 20/3.
2*(r + 25)*(9*r + 2)/15
Factor m**4 + 12*m**3 - 28*m**2.
m**2*(m - 2)*(m + 14)
Find q such that -2*q**4/13 - 94*q**3/13 - 1146*q**2/13 - 874*q/13 + 2116/13 = 0.
-23, -2, 1
Let -75*g**5 + 90*g**4 + 483*g**3 - 126*g**2 - 300*g - 72 = 0. Calculate g.
-2, -2/5, 1, 3
Factor g**5 - 140*g**4 + 4897*g**3 + 422*g**2 - 14980*g + 9800.
(g - 70)**2*(g - 1)**2*(g + 2)
Factor i**4/3 - 14*i**3/3 + 44*i**2/3 - 40*i/3.
i*(i - 10)*(i - 2)**2/3
Let -2*b**4/15 + 58*b**3/15 + 122*b**2/15 + 62*b/15 = 0. Calculate b.
-1, 0, 31
Solve -2*l**3/11 - 184*l**2/11 + 186*l/11 = 0 for l.
-93, 0, 1
Factor -2*s**4 + 14*s**3 + 20*s**2 - 32*s.
-2*s*(s - 8)*(s - 1)*(s + 2)
Factor 2*w**2 + 54*w - 56.
2*(w - 1)*(w + 28)
Determine v so that v**5/2 + 47*v**4/6 + 127*v**3/3 + 85*v**2 + 175*v/6 - 125/6 = 0.
-5, -1, 1/3
Factor -x**4/5 - 2*x**3 + 37*x**2/5 - 26*x/5.
-x*(x - 2)*(x - 1)*(x + 13)/5
Factor -t**2/3 - 20*t/3 + 7.
-(t - 1)*(t + 21)/3
Suppose u**3 + 42*u**2 + 81*u + 40 = 0. Calculate u.
-40, -1
Determine r so that -3*r**4/4 + 23*r**3/4 + 119*r**2/4 - 95*r/4 - 11 = 0.
-4, -1/3, 1, 11
Find q such that 4*q**3 + 16*q**2 - 464*q - 960 = 0.
-12, -2, 10
Determine p, given that 5*p**2 + 7780*p = 0.
-1556, 0
Factor 3*q**3 - 2718*q**2 + 820836*q - 82630824.
3*(q - 302)**3
Factor 4*f**4 + 72*f**3 + 436*f**2 + 1008*f + 784.
4*(f + 2)**2*(f + 7)**2
Suppose x**3/8 - 3*x**2/4 - 31*x/8 + 9/2 = 0. What is x?
-4, 1, 9
Determine b, given that 3*b**4 - 411*b**3 + 810*b**2 = 0.
0, 2, 135
Suppose 5*o**3 - 5*o**2 - 60*o = 0. Calculate o.
-3, 0, 4
Suppose 4*i**4 - 808*i**3 + 41568*i**2 - 73600*i - 320000 = 0. Calculate i.
-2, 4, 100
Suppose -28*y**5 + 11180*y**4 + 19236*y**3 + 4820*y**2 - 3208*y = 0. What is y?
-1, 0, 2/7, 401
Suppose 5*y**4 + 205*y**3 + 2400*y**2 + 3780*y - 38880 = 0. Calculate y.
-18, -8, 3
Factor -2*b**3/21 - 8*b**2/3 - 344*b/21 - 160/7.
-2*(b + 2)*(b + 6)*(b + 20)/21
Suppose -4*d**5/3 + 28*d**4/3 + 4*d**3/3 - 28*d**2/3 = 0. What is d?
-1, 0, 1, 7
Determine r, given that -r**3 + 27*r**2 - 195*r + 169 = 0.
1, 13
Determine x so that -2*x**5 + 36*x**4 + 434*x**3 - 468*x**2 = 0.
-9, 0, 1, 26
Let -w**5 - 7*w**4/2 + 9*w**2/2 = 0. What is w?
-3, -3/2, 0, 1
Solve -4*c**5 + 64*c**4 - 272*c**3 + 296*c**2 + 276*c - 360 = 0 for c.
-1, 1, 3, 10
Determine l, given that 5*l**2 - 235*l + 860 = 0.
4, 43
Factor 5*a**2/2 + 25*a/2 - 90.
5*(a - 4)*(a + 9)/2
Let -3*f**3 + 177*f**2 - 3312*f + 19008 = 0. Calculate f.
11, 24
Factor -21*b**2/5 - 2904*b/5 - 828/5.
-3*(b + 138)*(7*b + 2)/5
Factor 5*k**5 - 110*k**4 + 90*k**3 + 340*k**2 - 535*k + 210.
5*(k - 21)*(k - 1)**3*(k + 2)
Factor -p**3/2 + 411*p**2/2 - 21012*p - 21218.
-(p - 206)**2*(p + 1)/2
What is i in i**3 - 23*i**2 + 110*i - 136 = 0?
2, 4, 17
Factor 2*l**3 - 40*l**2 + 154*l + 484.
2*(l - 11)**2*(l + 2)
Factor w**4 - 129*w**3/2 + 63*w**2/2 + 32*w.
w*(w - 64)*(w - 1)*(2*w + 1)/2
Solve -4*v**2 + 2408*v - 362404 = 0.
301
Suppose 2*x**2/9 - 46*x/9 - 100/9 = 0. Calculate x.
-2, 25
Suppose -2*r**5 + 8*r**4 + 6*r**3 - 20*r**2 - 16*r = 0. Calculate r.
-1, 0, 2, 4
Factor 24*b**4 + 124*b**3 + 188*b**2 + 100*b + 12.
4*(b + 1)**2*(b + 3)*(6*b + 1)
Find m, given that -98*m**5 - 1820*m**4 - 4250*m**3 - 3560*m**2 - 1160*m - 128 = 0.
-16, -1, -2/7
Factor 3*h**2 - 1467*h - 1470.
3*(h - 490)*(h + 1)
Factor 3*o**5/5 - 417*o**4/5 + 12513*o**3/5 + 27189*o**2 + 431568*o/5 + 443556/5.
3*(o - 74)**2*(o + 3)**3/5
Let -2*a**2 + 86*a + 88 = 0. What is a?
-1, 44
Find j, given that j**3/5 - 542*j**2/5 + 1081*j/5 - 108 = 0.
1, 540
Factor -5*b**3 - 10*b**2 + 95*b + 100.
-5*(b - 4)*(b + 1)*(b + 5)
Factor 2*g**2 - 40*g + 38.
2*(g - 19)*(g - 1)
Determine n so that -3*n**3/2 + 321*n**2/2 - 4212*n - 4374 = 0.
-1, 54
Find d such that -2*d**4/7 + 5182*d**3/7 - 4478970*d**2/7 + 1294408522*d/7 - 2570942588/7 = 0.
2, 863
Solve -5*f**2 - 35*f = 0 for f.
-7, 0
Find u such that -10*u**3 - 22875*u**2 - 13075920*u + 6543680 = 0.
-1144, 1/2
Determine w, given that 21*w**4/2 - 927*w**3 - 3231*w**2/2 - 408*w + 270 = 0.
-1, 2/7, 90
Solve -21*t**5/5 - 198*t**4/5 + 687*t**3/5 + 432*t**2/5 - 432*t/5 = 0.
-12, -1, 0, 4/7, 3
Find u such that u**4 - 25*u**3/3 + 16*u**2/3 + 44*u/3 = 0.
-1, 0, 2, 22/3
Factor a**3/10 - 6*a**2 - 937*a/10 - 438/5.
(a - 73)*(a + 1)*(a + 12)/10
Let 2*v**4/9 + 5264*v**3/9 + 1156324*v**2/3 + 6922160*v/9 + 3458450/9 = 0. What is v?
-1315, -1
Determine j so that -9*j**4 + 93*j**3 + 75*j**2 - 93*j - 66 = 0.
-1, -2/3, 1, 11
Factor 2*n**4/3 + 190*n**3/3 + 4606*n**2/3 + 4418*n/3.
2*n*(n + 1)*(n + 47)**2/3
Let 11*j**4 - 10*j**3 - 24*j**2 = 0. Calculate j.
-12/11, 0, 2
Suppose 2*j**4/9 + 8*j**3/9 - 2*j**2/3 - 20*j/9 + 16/9 = 0. 