
Factor -h**2/5 + 7*h/5 - 2.
-(h - 5)*(h - 2)/5
Factor j**2 + 22*j + 120.
(j + 10)*(j + 12)
Solve 18*l**2/7 - 10*l/7 = 0.
0, 5/9
Find r such that r**2/4 - 21*r + 441 = 0.
42
Factor -2*l**3/9 - 8*l**2/3 - 26*l/3 - 56/9.
-2*(l + 1)*(l + 4)*(l + 7)/9
Factor -2*q**3 + 12*q**2 + 2*q - 12.
-2*(q - 6)*(q - 1)*(q + 1)
Factor -3*d**4 - 48*d**3 - 84*d**2.
-3*d**2*(d + 2)*(d + 14)
Factor -3*j**2 - 468*j.
-3*j*(j + 156)
Suppose 2*i**3/9 + 78*i**2 + 20416*i/3 - 61952/9 = 0. Calculate i.
-176, 1
Solve 3*h**3/4 - 87*h**2/2 + 2325*h/4 - 1989/2 = 0.
2, 17, 39
Factor 4*n**2/7 + 384*n/7 - 112.
4*(n - 2)*(n + 98)/7
Find a such that 3*a**4 - 9*a**3 + 12*a = 0.
-1, 0, 2
Solve 110*g**4 - 665*g**3 + 1350*g**2 - 940*g + 40 = 0.
1/22, 2
Suppose -53*f**2/4 + 33*f/4 + 5 = 0. What is f?
-20/53, 1
Factor 4*p**2 - 108*p - 792.
4*(p - 33)*(p + 6)
Factor 2*p**3 - 46*p**2 - 208*p - 216.
2*(p - 27)*(p + 2)**2
Solve 110*w**2 + 64*w + 8 = 0.
-2/5, -2/11
Factor -2*q**4/5 + 1572*q**3/5 - 82056*q**2 + 35137852*q/5 + 109148682/5.
-2*(q - 263)**3*(q + 3)/5
Suppose -2*g**5/3 + 8*g**4 + 26*g**3/3 = 0. Calculate g.
-1, 0, 13
Suppose -6*i**4/5 - 18*i**3/5 + 942*i**2/5 - 2286*i/5 - 648 = 0. What is i?
-15, -1, 4, 9
Find o, given that -3*o**3/2 - 12*o**2 + 57*o/2 - 15 = 0.
-10, 1
Find m such that 5*m**2 + 510*m + 5785 = 0.
-89, -13
Let 3*c**2 - 45*c - 162 = 0. What is c?
-3, 18
Solve -3*h**2/4 - 24*h - 144 = 0.
-24, -8
Factor -5*g**5 + 5*g**4 + 5*g**3 - 5*g**2.
-5*g**2*(g - 1)**2*(g + 1)
Factor 2*v**2/5 + 72*v/5 - 602/5.
2*(v - 7)*(v + 43)/5
Let -3*f**5/4 + 3*f**4/2 + 75*f**3 - 3*f**2/2 - 297*f/4 = 0. What is f?
-9, -1, 0, 1, 11
Factor -m**5 - 5*m**4 + 7*m**3 + 5*m**2 - 6*m.
-m*(m - 1)**2*(m + 1)*(m + 6)
Find s, given that -81*s**4/2 - 153*s**3/4 + 37*s**2/4 + 8*s + 1 = 0.
-1, -2/9, 1/2
Factor -u**3 + 290*u**2 - 21025*u.
-u*(u - 145)**2
What is k in k**4/6 - 11*k**3/6 + 15*k**2/2 - 27*k/2 + 9 = 0?
2, 3
Factor -4*t**5 - 16*t**4 + 20*t**3.
-4*t**3*(t - 1)*(t + 5)
What is t in 7*t**4/2 - 57*t**3 + 25*t**2/2 + 57*t - 16 = 0?
-1, 2/7, 1, 16
Determine x, given that 5*x**3 + 1095*x**2 + 58275*x - 184815 = 0.
-111, 3
Determine z so that 3*z**5 + 45*z**4 + 258*z**3 + 696*z**2 + 864*z + 384 = 0.
-4, -2, -1
Find y, given that 5*y**3 + 35*y**2 + 10*y - 200 = 0.
-5, -4, 2
Factor u**2 + 17*u + 42.
(u + 3)*(u + 14)
Factor 2*m**3 + 18*m**2 + 48*m + 32.
2*(m + 1)*(m + 4)**2
Suppose -2*w**2/7 - 86*w/7 + 180/7 = 0. Calculate w.
-45, 2
Suppose c**4/6 + 17*c**3/6 - 19*c**2/6 - 17*c/6 + 3 = 0. Calculate c.
-18, -1, 1
Factor 4*y**3 - 88*y**2 + 316*y + 408.
4*(y - 17)*(y - 6)*(y + 1)
Find n, given that -5*n**4 - 350*n**3 - 8280*n**2 - 68770*n - 60835 = 0.
-23, -1
Suppose 2*j**5 + 6*j**4 - 18*j**3 - 46*j**2 - 24*j = 0. Calculate j.
-4, -1, 0, 3
Factor 14*z**3/3 + 74*z**2/3 + 104*z/3 + 8.
2*(z + 2)*(z + 3)*(7*z + 2)/3
Solve 3*d**3 - 99*d**2 - 210*d = 0 for d.
-2, 0, 35
Solve -v**3/3 - 7*v**2 + 15*v + 675 = 0.
-15, 9
Determine i so that 3*i**2/8 - 99*i/8 + 81 = 0.
9, 24
Determine c so that -2*c**5 - 2452*c**4 - 751538*c**3 = 0.
-613, 0
Factor 2*o**2/3 + 20*o/3.
2*o*(o + 10)/3
Suppose 9*w**5/5 + 3*w**4/5 - 26*w**3/5 - 28*w**2/5 - 8*w/5 = 0. What is w?
-1, -2/3, 0, 2
Determine o so that -2*o**4 + 1180*o**3 - 175226*o**2 + 346920*o - 172872 = 0.
1, 294
Factor 2*j**3/5 - 22*j**2/5 - 10*j - 26/5.
2*(j - 13)*(j + 1)**2/5
Find r, given that -726*r**5 + 3124*r**4 + 7984*r**3 - 3232*r**2 - 1888*r - 192 = 0.
-2, -2/11, 2/3, 6
What is g in -g**4 - 29*g**3 + 4*g**2 + 116*g = 0?
-29, -2, 0, 2
Solve 3*l**3 - 33*l**2 + 72*l + 108 = 0.
-1, 6
Factor 4*x**3 - 64*x**2 + 220*x.
4*x*(x - 11)*(x - 5)
Factor 2*t**3/7 - 12*t**2/7.
2*t**2*(t - 6)/7
Factor 2*k**2/9 - 100*k + 11250.
2*(k - 225)**2/9
Factor 4*d**2 + 12800*d + 10240000.
4*(d + 1600)**2
Let -3*f**5 + 21*f**4 - 57*f**3 + 75*f**2 - 48*f + 12 = 0. Calculate f.
1, 2
Factor -c**3 - 544*c**2 - 1085*c - 542.
-(c + 1)**2*(c + 542)
Factor -2*z**4/11 - 692*z**3/11 - 59162*z**2/11 + 120408*z/11 - 60552/11.
-2*(z - 1)**2*(z + 174)**2/11
What is c in c**3 + 2*c**2 = 0?
-2, 0
What is v in -7*v**4 - 19*v**3 - 8*v**2 + 4*v = 0?
-2, -1, 0, 2/7
Factor l**5/2 - 37*l**4/2 + 35*l**3 + l**2 - 71*l/2 + 35/2.
(l - 35)*(l - 1)**3*(l + 1)/2
Find h, given that -4*h**5 - 8*h**4 + 104*h**3 - 224*h**2 + 188*h - 56 = 0.
-7, 1, 2
Factor 4*z**2/7 + 5160*z/7 + 1664100/7.
4*(z + 645)**2/7
Factor 48*m**2 + 45*m - 3.
3*(m + 1)*(16*m - 1)
Factor -5*y**3/6 + 23485*y**2/6 - 13794500*y/3 + 13782760/3.
-5*(y - 2348)**2*(y - 1)/6
Let 4*d**4/9 - 28*d**3/9 + 8*d**2/3 + 128*d/9 - 128/9 = 0. Calculate d.
-2, 1, 4
Factor -3*s**3 - 219*s**2 + 912*s - 924.
-3*(s - 2)**2*(s + 77)
Let -f**5 - 20*f**4 - 125*f**3 - 190*f**2 + 480*f + 1152 = 0. Calculate f.
-8, -3, 2
Determine b so that -3*b**2/5 + 27/5 = 0.
-3, 3
Determine q so that q**3/3 + 44*q**2 - q/3 - 44 = 0.
-132, -1, 1
Suppose 5*w**2 + 545*w + 540 = 0. Calculate w.
-108, -1
Factor -3*d**4 + 7*d**3 - d**2 - 7*d + 4.
-(d - 1)**2*(d + 1)*(3*d - 4)
Factor 2*n**4/3 - 10*n**3 - 242*n**2/3 - 70*n.
2*n*(n - 21)*(n + 1)*(n + 5)/3
Find p such that -p**2 - 86*p - 1849 = 0.
-43
Let -l**3/9 - 4*l**2/9 + 5*l/9 = 0. What is l?
-5, 0, 1
Solve t**4/3 - 1676*t**3/3 + 351122*t**2 - 294240236*t/3 + 30821664721/3 = 0.
419
Suppose -l**2 - 192*l - 9216 = 0. What is l?
-96
Factor n**5/6 + 2*n**4/3 + n**3 + 2*n**2/3 + n/6.
n*(n + 1)**4/6
Let -2*i**5 - 306*i**4 - 4036*i**3 - 20336*i**2 - 44736*i - 35584 = 0. Calculate i.
-139, -4, -2
Let -4*b**2 - 11616*b - 23216 = 0. Calculate b.
-2902, -2
Suppose -m**2/9 - 52*m/3 = 0. Calculate m.
-156, 0
Find v such that 5*v**2/3 + 230*v/3 + 800 = 0.
-30, -16
Factor -3*i**3/7 + 3*i**2/7.
-3*i**2*(i - 1)/7
Suppose -2*o**3 - 26*o**2 - 80*o - 72 = 0. Calculate o.
-9, -2
Factor z**5 + 6*z**4 + 11*z**3 + 2*z**2 - 12*z - 8.
(z - 1)*(z + 1)*(z + 2)**3
Factor -3*x**2 - 15*x - 18.
-3*(x + 2)*(x + 3)
Factor -2*c**3 - 108*c**2 - 210*c - 104.
-2*(c + 1)**2*(c + 52)
Factor 18*d**2/23 - 148*d/23 + 290/23.
2*(d - 5)*(9*d - 29)/23
Determine i, given that i**4/2 + i**3 + i**2/2 = 0.
-1, 0
Factor 648*z**3/5 + 1224*z**2/5 - 142*z/5 + 4/5.
2*(z + 2)*(18*z - 1)**2/5
Factor -2*y**4/7 + 2*y**3 + 54*y**2/7 + 58*y/7 + 20/7.
-2*(y - 10)*(y + 1)**3/7
Factor w**5/5 - w**4 + 8*w**3/5 - 4*w**2/5.
w**2*(w - 2)**2*(w - 1)/5
Determine v so that -2*v**5/5 + 2*v**4/5 + 6*v**3/5 - 2*v**2 + 4*v/5 = 0.
-2, 0, 1
Factor 6*s**3/5 + 306*s**2/5 + 5202*s/5 + 29478/5.
6*(s + 17)**3/5
Factor 16*v**3 - 168*v**2 - 279*v - 108.
(v - 12)*(4*v + 3)**2
Suppose -4*c**3 - 796*c**2 - 39996*c - 39204 = 0. Calculate c.
-99, -1
Let 5*i**5 - 10*i**4 - 30*i**3 + 20*i**2 + 65*i + 30 = 0. Calculate i.
-1, 2, 3
Determine j, given that 2*j**5/7 - 6*j**4/7 - 6*j**3/7 + 2*j**2 + 12*j/7 = 0.
-1, 0, 2, 3
Factor 5*k**2 - 415*k - 1290.
5*(k - 86)*(k + 3)
Factor -v**2/7 + 173*v/7 - 1002/7.
-(v - 167)*(v - 6)/7
Suppose -3*l**4/4 - 11*l**3/4 + 3*l**2 + 9*l + 4 = 0. What is l?
-4, -1, -2/3, 2
Factor -2*a**2 + 26*a - 44.
-2*(a - 11)*(a - 2)
Find t such that t**2 - 129*t + 500 = 0.
4, 125
Find h such that 2*h**3/3 + 42*h**2 + 682*h + 1922/3 = 0.
-31, -1
Determine h, given that -3*h**3/4 - 153*h**2/2 - 1437*h/4 + 873/2 = 0.
-97, -6, 1
Solve 7*n**3/2 - 13*n**2 + 10*n + 4 = 0.
-2/7, 2
Factor -4*t**3 + 40*t**2 - 48*t - 288.
-4*(t - 6)**2*(t + 2)
Determine f so that -2*f**2/15 - 8*f/3 + 50/3 = 0.
-25, 5
Solve -g**2 - 28*g - 147 = 0 for g.
-21, -7
Factor 5*x**5 + 15*x**4 - 20*x**3 - 80*x**2 + 80.
5*(x - 2)*(x - 1)*(x + 2)**3
Solve 3*n**2/2 + 69*n/2 = 0 for n.
-23, 0
Determine c so that 5*c**4 - 210*c**3 - 220*c**2 + 210*c + 215 = 0.
-1, 1, 43
Factor -p**2 + 2205*p + 2206.
-(p - 2206)*(p + 1)
Factor 2*v**3 + 28*v**2 + 78*v - 108.
2*(v - 1)*(v + 6)*(v + 9)
Solve -2*p**3/7 + 668*p**2/7 = 0 for p.
0, 334
Suppose -p**3/5 - 11*p**2/5 + 5*p - 13/5 = 0. What is p?
-13, 1
Factor -r**4/2 + 3*r**3/2 - 2*r.
-r*(r - 2)**2*(r + 1)/2
Determine g, given that -2187*g**4 + 30294*g**3 - 23907*g**2 - 4044*g - 156 = 0.
-2/27, 1, 13
Let s**4/3 - s**2 - 2*s/3 = 0. What is s?
-1, 0, 2
Let 5*t**5 - 35*t**3 - 10*t**2 + 60*t + 40 = 0. What is t?
-2, -1, 2
Factor -4*y**3 - 56*y**2 - 172*y - 120.
-4*(y + 1)*(y + 3)*(y + 10)
What is z in -z**4/7 - 59*z**3/7 - 464*z**2/7 - 100*z = 0?
-50, -7, -2, 0
Factor -2*g**2/3 + 136*g/3 - 418.
-2*(g - 57)*(g - 11)/3
Factor 3*q**2 +