
Suppose -2*j**4/5 - 8*j**3/5 - 6*j**2/5 + 8*j/5 + 8/5 = 0. Calculate j.
-2, -1, 1
Factor 4*w**4 - 88*w**3 + 480*w**2 + 88*w - 484.
4*(w - 11)**2*(w - 1)*(w + 1)
Suppose -5*d**4 - 90*d**3 + 300*d**2 - 310*d + 105 = 0. What is d?
-21, 1
Determine n, given that n**2/5 + 28*n/5 + 15 = 0.
-25, -3
Factor 2*s**5/5 - 8*s**4/5 + 2*s**3 - 4*s**2/5.
2*s**2*(s - 2)*(s - 1)**2/5
Factor -d**3/3 - 13*d**2 - 32*d/3 + 76.
-(d - 2)*(d + 3)*(d + 38)/3
Suppose -5*f**2 + 385*f - 380 = 0. What is f?
1, 76
Factor -2*l**4/9 + 1024*l**3/3 - 131072*l**2.
-2*l**2*(l - 768)**2/9
Factor 3*i**2/4 - 51*i/2 + 99/4.
3*(i - 33)*(i - 1)/4
What is a in -a**2 - 1356*a + 2716 = 0?
-1358, 2
Factor -108*b**2 + 3*b.
-3*b*(36*b - 1)
Find v such that 8*v**5/13 - 14*v**4/13 + 4*v**3/13 + 2*v**2/13 = 0.
-1/4, 0, 1
Factor a**3/8 - 49*a**2/8.
a**2*(a - 49)/8
Solve -6*a**4 - 112*a**3 + 1080*a**2 - 1728*a - 1664 = 0.
-26, -2/3, 4
Determine h so that -6*h**4/7 - 31*h**3/7 - 53*h**2/7 - 32*h/7 - 4/7 = 0.
-2, -1, -1/6
Factor -g**4/12 + 41*g**3/12 - 13*g**2/2.
-g**2*(g - 39)*(g - 2)/12
Let 3*r**4/8 + 33*r**3/2 - 273*r**2/8 + 69*r/4 = 0. What is r?
-46, 0, 1
What is c in 2*c**3 + 222*c**2 - 8*c - 888 = 0?
-111, -2, 2
Suppose 4*h**4/7 - 22*h**3/7 - 12*h**2/7 = 0. What is h?
-1/2, 0, 6
Suppose h**3/2 - 29*h**2/2 + 39*h = 0. What is h?
0, 3, 26
Suppose 2*f**5/3 - 6*f**4 + 28*f**3/3 + 4*f**2/3 - 10*f + 14/3 = 0. What is f?
-1, 1, 7
Determine g, given that -8*g**4/3 - 622*g**3/3 - 1060*g**2/3 + 304*g/3 = 0.
-76, -2, 0, 1/4
Factor -n**3/2 + 3*n**2/2 + 2*n.
-n*(n - 4)*(n + 1)/2
Determine d, given that -d**5 - 21*d**4 + 72*d**3 = 0.
-24, 0, 3
Factor -2*q**2/9 + 10*q/3.
-2*q*(q - 15)/9
Solve d**4 + 34*d**3 + 177*d**2 + 256*d + 112 = 0.
-28, -4, -1
What is h in 6*h**2/7 + 5*h/7 - 1/7 = 0?
-1, 1/6
Factor -n**2/3 - 65*n/3 - 212.
-(n + 12)*(n + 53)/3
Determine o so that -2*o**2/9 + 44*o/3 - 210 = 0.
21, 45
Suppose -q**4 + 7*q**3 - 4*q**2 - 12*q = 0. Calculate q.
-1, 0, 2, 6
Suppose 5*y**5 - 30*y**4 - 175*y**3 - 240*y**2 - 100*y = 0. Calculate y.
-2, -1, 0, 10
Find v such that 5*v**5/2 - 5*v**4/2 - 25*v**3/2 + 25*v**2/2 + 10*v - 10 = 0.
-2, -1, 1, 2
Factor 4*y**5 - 696*y**4 + 30964*y**3 - 59856*y**2 + 29584*y.
4*y*(y - 86)**2*(y - 1)**2
Determine c so that -4*c**2 - 1240*c + 1244 = 0.
-311, 1
Determine k so that k**4/2 - 59*k**3/2 + 621*k**2 - 5346*k + 14580 = 0.
5, 18
Factor -4*g**2 - 10216*g - 6522916.
-4*(g + 1277)**2
What is g in -g**2/5 - 28*g/5 - 23 = 0?
-23, -5
Factor -4*f**2 - 44*f + 48.
-4*(f - 1)*(f + 12)
Factor -x**4 + 98*x**3 - 637*x**2 - 86436*x - 777924.
-(x - 63)**2*(x + 14)**2
Let -p**4 + 16*p**3/9 + 31*p**2/9 + 2*p/3 = 0. What is p?
-1, -2/9, 0, 3
Solve -3*m**4/2 + 9*m**3 - 9*m**2/2 - 15*m = 0.
-1, 0, 2, 5
Factor -3*s**3 + 21*s**2 + 123*s + 99.
-3*(s - 11)*(s + 1)*(s + 3)
Let z**5 - 6*z**4 + 12*z**3 - 10*z**2 + 3*z = 0. What is z?
0, 1, 3
Factor 3*r**2 - 120*r - 987.
3*(r - 47)*(r + 7)
Factor l**2/2 - 43*l/2 + 60.
(l - 40)*(l - 3)/2
Solve -75*r**2 + 2940*r - 28812 = 0.
98/5
Suppose 3*m**3/5 + 1479*m**2 - 14799*m/5 + 7401/5 = 0. What is m?
-2467, 1
Find l such that 2*l**4/15 - 2*l**3/3 + 2*l**2/3 + 2*l/3 - 4/5 = 0.
-1, 1, 2, 3
What is z in -22*z**2 + 122*z/13 - 12/13 = 0?
2/13, 3/11
Factor -1922*b**2/17 + 372*b - 306.
-2*(31*b - 51)**2/17
Factor -2*v**3/3 + 164*v**2/3 + 2*v/3 - 164/3.
-2*(v - 82)*(v - 1)*(v + 1)/3
Factor 2*b**4 - 56*b**3 - 58*b**2.
2*b**2*(b - 29)*(b + 1)
Determine u so that -u**2 + 96*u - 2304 = 0.
48
Solve 2*d**5 - 10*d**4 - 88*d**3 + 384*d**2 + 576*d - 864 = 0.
-6, -2, 1, 6
Suppose 3*l**2 - 36*l - 399 = 0. What is l?
-7, 19
Factor -80*t**3 + 163640*t**2 + 81835*t + 10230.
-5*(t - 2046)*(4*t + 1)**2
Suppose 3*t**4 + 93*t**3 - 630*t**2 + 1308*t - 888 = 0. What is t?
-37, 2
Factor -u**2/8 + 3*u/8 + 1/2.
-(u - 4)*(u + 1)/8
Find t such that -t**4 - 222*t**3 - 220*t**2 + 222*t + 221 = 0.
-221, -1, 1
Determine o so that 5*o**4 - 100*o**3 - 105*o**2 = 0.
-1, 0, 21
Determine s, given that s**5/9 - 20*s**4/9 - 5*s**3 + 20*s**2/9 + 44*s/9 = 0.
-2, -1, 0, 1, 22
Find g such that -4*g**2 - 180*g - 176 = 0.
-44, -1
Solve -2*k**5 - 58*k**4 - 428*k**3 - 892*k**2 + 430*k + 950 = 0.
-19, -5, -1, 1
Solve -o**5 + 370*o**4 + 1116*o**3 + 1118*o**2 + 373*o = 0.
-1, 0, 373
Find k, given that -160*k**2 + 70*k + 5 = 0.
-1/16, 1/2
Factor 2*v**3/11 + 84*v**2/11 + 72*v - 176.
2*(v - 2)*(v + 22)**2/11
Factor 3*b**4 - 18*b**3 + 12*b**2 + 18*b - 15.
3*(b - 5)*(b - 1)**2*(b + 1)
Factor 2*n**3/7 - 150*n**2/7 + 708*n/7 - 80.
2*(n - 70)*(n - 4)*(n - 1)/7
Solve -j**5/4 + 107*j**4/2 - 1261*j**3/4 + 679*j**2 - 625*j + 208 = 0 for j.
1, 2, 208
Find g, given that 3*g**5/7 - 15*g**4/7 - 27*g**3/7 + 123*g**2/7 + 96*g/7 - 180/7 = 0.
-2, 1, 3, 5
Factor -2*s**2/5 + 1262*s/5 - 252.
-2*(s - 630)*(s - 1)/5
Let -15*q**5 + 5*q**4 + 100*q**3 + 60*q**2 = 0. Calculate q.
-2, -2/3, 0, 3
Factor 3*r**4 - 36*r**3 + 63*r**2 - 30*r.
3*r*(r - 10)*(r - 1)**2
What is c in 2*c**4/11 + 24*c**3 + 1188*c**2 + 26136*c + 215622 = 0?
-33
Factor 4*x**4 + 808*x**3 - 3276*x**2 + 4112*x - 1648.
4*(x - 2)*(x - 1)**2*(x + 206)
Factor 2*w**2/9 - 166*w/9 + 160/3.
2*(w - 80)*(w - 3)/9
What is q in -q**2 + 157*q - 156 = 0?
1, 156
Let -u**2 + 2*u + 3 = 0. What is u?
-1, 3
Determine r so that 4*r**5 + 8*r**4 - 28*r**3 - 32*r**2 + 48*r = 0.
-3, -2, 0, 1, 2
Factor -w**2 - 25*w - 114.
-(w + 6)*(w + 19)
Factor -5*c**2 - 1850*c - 171125.
-5*(c + 185)**2
What is m in 5*m**2 + 2475*m - 4970 = 0?
-497, 2
Suppose f**5 - 2*f**4 - f**3 + 2*f**2 = 0. What is f?
-1, 0, 1, 2
Factor -t**4/5 - 9*t**3/5 + 48*t**2/5 - 52*t/5.
-t*(t - 2)**2*(t + 13)/5
Suppose 3*g**5/5 - 3*g**4/5 - 42*g**3/5 + 18*g**2/5 + 27*g + 81/5 = 0. What is g?
-3, -1, 3
Factor -12*h**3/11 + 2*h**2 + 4*h/11.
-2*h*(h - 2)*(6*h + 1)/11
Solve -2*l**3/21 - 10*l**2/7 - 94*l/21 - 22/7 = 0.
-11, -3, -1
Let 2*m**5/15 - 2*m**4 + 4*m**3/3 + 8*m**2 - 112*m/15 = 0. What is m?
-2, 0, 1, 2, 14
Suppose 24*z**2 - 4581*z - 573 = 0. Calculate z.
-1/8, 191
Factor 4*x**5 - 4*x**4 - 80*x**3.
4*x**3*(x - 5)*(x + 4)
Let -144*x**2/7 - 52*x + 88/7 = 0. Calculate x.
-11/4, 2/9
Determine r, given that -4*r**4 + 8*r**3 + 20*r**2 - 24*r = 0.
-2, 0, 1, 3
Let -18*p**3/7 - 130*p**2/7 - 4*p = 0. Calculate p.
-7, -2/9, 0
Factor -w**3 + w**2 + 8*w - 12.
-(w - 2)**2*(w + 3)
Factor 4*i**4/5 + 12*i**3/5 - 36*i**2/5 + 4*i.
4*i*(i - 1)**2*(i + 5)/5
Determine s so that 2*s**4 - 28*s**3 - 62*s**2 - 32*s = 0.
-1, 0, 16
Factor -2*c**3 + 332*c**2 - 13778*c.
-2*c*(c - 83)**2
Factor -x**2/4 + 777*x - 3107/4.
-(x - 3107)*(x - 1)/4
Determine s, given that -3*s**4 + 17*s**3 - 9*s**2 - 5*s = 0.
-1/3, 0, 1, 5
Suppose 3*g**3 - 417*g**2 - 1272*g - 852 = 0. Calculate g.
-2, -1, 142
Suppose -8*b**4/9 - 82*b**3/9 + 116*b**2/9 + 562*b/9 + 44/3 = 0. Calculate b.
-11, -2, -1/4, 3
Factor g**4/8 - 11*g**3/8 + 3*g**2 + 9*g/2.
g*(g - 6)**2*(g + 1)/8
Suppose 9*k**4 + 105*k**3 + 261*k**2 + 243*k + 78 = 0. What is k?
-26/3, -1
Factor -3*p**2 + 348*p - 1017.
-3*(p - 113)*(p - 3)
Find p such that -4*p**4 + 96*p**3 - 664*p**2 + 1056*p - 484 = 0.
1, 11
Find q such that 5*q**2 + 235*q - 750 = 0.
-50, 3
Factor -12*g**2 + 2355*g + 1773.
-3*(g - 197)*(4*g + 3)
Factor 2*s**3/13 + 28*s**2/13 - 1542*s/13 + 1512/13.
2*(s - 21)*(s - 1)*(s + 36)/13
Find k such that 9370805*k**4 - 2026120*k**3 + 164280*k**2 - 5920*k + 80 = 0.
2/37
Factor -3*r**4 + 30*r**3 - 87*r**2 + 24*r + 144.
-3*(r - 4)**2*(r - 3)*(r + 1)
Factor -2*k**3/9 + 10*k**2/9 + 4*k/3.
-2*k*(k - 6)*(k + 1)/9
Solve 589*k**3/4 + 293*k**2 + 577*k/4 - 3/2 = 0 for k.
-1, 6/589
Let -3*c**2 - 2163*c + 4338 = 0. Calculate c.
-723, 2
Solve -5*i**2/2 + 930*i - 86490 = 0 for i.
186
Let 2*h**2 - 174*h - 176 = 0. Calculate h.
-1, 88
Factor -x**3 + 45*x**2 + 486*x.
-x*(x - 54)*(x + 9)
Factor 2*p**4/7 + 8*p**3/7 + 10*p**2/7 + 4*p/7.
2*p*(p + 1)**2*(p + 2)/7
Solve -2*u**3 - 34*u**2 + 2*u + 34 = 0 for u.
-17, -1, 1
Factor 3*z**2 + 17442*z + 25351947.
3*(z + 2907)**2
Factor k**4/2 - 45*k**3/2 - 93*k**2/2 - 47*k/2.
k*(k - 47)*(k + 1)**2/2
Factor 2*t**4/7 - 6*t**3/7 - 4*t**2/7 + 24*t/7 - 16/7.
2*(t - 2)**2*(t - 1)*(t + 2)/7
What is b in 12*b**4 - 63*b**3 - 57*b**2 + 18*b = 0?
-1, 0, 1/4, 6
Determine v so that 5*v**4 + 65*v**3 + 160*v**2 + 100*v = 0.
-10, -2, -1, 0
Factor -b**2/4 - 323*b/4.
-b*(b + 323)/4
Suppose -2*k**4 - 120*k**3 - 648*k