- 352*l**2 - 1060*l/3 - 118 = 0 for l.
-1, 177
Find y, given that -20*y**5 - 395*y**4 + 1480*y**3 - 345*y**2 = 0.
-23, 0, 1/4, 3
Factor -6*v**3/7 - 2*v**2 + 12*v/7.
-2*v*(v + 3)*(3*v - 2)/7
Solve -z**4 - 5*z**3 - 4*z**2 = 0 for z.
-4, -1, 0
Find w, given that -2*w**2 - 604*w - 45602 = 0.
-151
Factor 4*v**4 + 16*v**3 - 76*v**2 + 56*v.
4*v*(v - 2)*(v - 1)*(v + 7)
What is d in -2*d**5/5 + 44*d**3/5 + 8*d**2 - 42*d/5 - 8 = 0?
-4, -1, 1, 5
Suppose -2*f**2 - 684*f + 1376 = 0. Calculate f.
-344, 2
Factor 4*w**4/3 - 200*w**3 + 9072*w**2 - 69984*w - 2519424.
4*(w - 54)**3*(w + 12)/3
Factor h**2/3 + 430*h + 1289/3.
(h + 1)*(h + 1289)/3
Factor z**2/6 + 29*z + 173/6.
(z + 1)*(z + 173)/6
Determine w so that w**3/4 + 13*w**2/2 + 23*w/4 - 25/2 = 0.
-25, -2, 1
Factor i**3/4 - 11*i**2/2 - 247*i/4 + 1444.
(i - 19)**2*(i + 16)/4
Determine v so that -5*v**3 - 520*v**2 - 13520*v = 0.
-52, 0
Suppose 4*f**3 - 44*f**2 - 24*f + 864 = 0. What is f?
-4, 6, 9
Factor -2*n**2/7 + 16*n/7 + 24.
-2*(n - 14)*(n + 6)/7
Factor -j**2/3 - 19*j/3 + 20/3.
-(j - 1)*(j + 20)/3
Factor -2*h**3 - 3322*h**2 - 1377798*h + 1381122.
-2*(h - 1)*(h + 831)**2
Factor -h**4 - 53*h**3 + 56*h**2 + 108*h.
-h*(h - 2)*(h + 1)*(h + 54)
Find a such that -20*a**4 + 25*a**3 + 75*a**2 - 100*a + 20 = 0.
-2, 1/4, 1, 2
What is p in p**4/2 + 8*p**3 - 131*p**2 + 460*p - 675/2 = 0?
-27, 1, 5
Factor -11*s**5/5 + 2*s**4/5.
-s**4*(11*s - 2)/5
Factor 5*q**2/6 - 55*q/6 - 85.
5*(q - 17)*(q + 6)/6
Solve -c**4 + 5*c**3 + 111*c**2 + 203*c + 98 = 0.
-7, -1, 14
Factor -3*n**2/7 + 33*n/7 - 72/7.
-3*(n - 8)*(n - 3)/7
Factor s**4 + 1948*s**3 + 952564*s**2 + 3786912*s + 3779136.
(s + 2)**2*(s + 972)**2
Find h such that -6*h**4 - 140*h**3 + 1122*h**2 - 2304*h + 1080 = 0.
-30, 2/3, 3
Suppose -2*v**3/3 + 8*v**2 - 22*v/3 = 0. What is v?
0, 1, 11
Factor -5*a**2 - 495*a - 490.
-5*(a + 1)*(a + 98)
Determine m, given that 2*m**2/9 + 22*m/3 + 64/9 = 0.
-32, -1
Factor 2*v**4/7 + 6*v**3/7 + 2*v**2/7 - 6*v/7 - 4/7.
2*(v - 1)*(v + 1)**2*(v + 2)/7
Find x such that -8*x**5/7 - 58*x**4 - 3978*x**3/7 + 29692*x**2/7 - 6400*x + 1344 = 0.
-28, 1/4, 2, 3
What is t in -4*t**2 - 3688*t - 850084 = 0?
-461
Factor -50*b**3/3 + 110*b**2/3 + 112*b/3 + 8.
-2*(b - 3)*(5*b + 2)**2/3
Factor i**4 - 536*i**3 + 107736*i**2 - 9624416*i + 322417936.
(i - 134)**4
Solve -49*s**2/4 + 7*s/4 + 1/2 = 0.
-1/7, 2/7
Factor -4*t**5 + 276*t**4 - 272*t**3.
-4*t**3*(t - 68)*(t - 1)
Suppose -8*c**5 + 6*c**4 + 170*c**3 - 318*c**2 - 90*c = 0. What is c?
-5, -1/4, 0, 3
Factor h**3/7 - 10*h**2/7 - 24*h/7.
h*(h - 12)*(h + 2)/7
Let -42*n**2/11 + 4*n/11 = 0. What is n?
0, 2/21
Suppose -v**5/6 + 13*v**3/6 - 8*v**2/3 - 2*v + 8/3 = 0. What is v?
-4, -1, 1, 2
Factor 5*i**3 + 90*i**2 + 535*i + 1050.
5*(i + 5)*(i + 6)*(i + 7)
Let -72*v**3 + 309*v**2 - 66*v - 72 = 0. What is v?
-3/8, 2/3, 4
Factor 2*i**3 - 72*i**2/7 - 74*i/7 + 12/7.
2*(i - 6)*(i + 1)*(7*i - 1)/7
Suppose -4*j**3 + 52*j**2 + 256*j + 272 = 0. What is j?
-2, 17
What is j in -2*j**5/13 + 80*j**4/13 - 222*j**3/13 - 8*j**2/13 + 296*j/13 = 0?
-1, 0, 2, 37
Suppose 4*f**4/7 + 24*f**3/7 - 216*f/7 - 324/7 = 0. What is f?
-3, 3
Factor 2*r**4/9 + 4*r**3/3 - 2*r**2/9 - 4*r/3.
2*r*(r - 1)*(r + 1)*(r + 6)/9
Let 2*c**4/9 + 2*c**3/3 - 4*c**2 = 0. What is c?
-6, 0, 3
Factor 5*n**3 + 415*n**2 - 420*n.
5*n*(n - 1)*(n + 84)
What is b in 4*b**3 + 952*b**2 + 64964*b + 950480 = 0?
-109, -20
Factor 18*i**3 - 1390*i**2 + 308*i.
2*i*(i - 77)*(9*i - 2)
Factor -3*g**3 + 846*g**2 - 79524*g + 2491752.
-3*(g - 94)**3
Let -2*n**5/3 - 64*n**4/3 + 206*n**3/3 - 140*n**2/3 = 0. Calculate n.
-35, 0, 1, 2
Let 3*t**3/5 + 4878*t**2 + 13219380*t + 11941506600 = 0. What is t?
-2710
What is z in 8*z**5 - 44*z**4 + 36*z**3 + 108*z**2 - 108*z = 0?
-3/2, 0, 1, 3
Factor -4*g**3 + 48*g**2 + 16*g - 192.
-4*(g - 12)*(g - 2)*(g + 2)
Factor -3*g**4 - 9*g**3 + 93*g**2 + 9*g - 378.
-3*(g - 3)**2*(g + 2)*(g + 7)
Factor 2*g**2 + 1316*g + 216482.
2*(g + 329)**2
Factor -n**4 + 25*n**3 - 47*n**2 + 23*n.
-n*(n - 23)*(n - 1)**2
Determine m so that -20*m**4/7 - 1692*m**3/7 - 4280*m**2/7 - 1296*m/7 + 1312/7 = 0.
-82, -2, -1, 2/5
Find p such that -p**3/3 - 40*p**2/3 - 437*p/3 - 722/3 = 0.
-19, -2
Factor d**2/10 - 3*d/10 + 1/5.
(d - 2)*(d - 1)/10
Find d, given that 3*d**4 - 516*d**3 + 507*d**2 + 1026*d = 0.
-1, 0, 2, 171
Factor -2*v**3/3 + 28*v**2/3 - 50*v/3 + 8.
-2*(v - 12)*(v - 1)**2/3
Solve -4*v**4 + 848*v**3 + 4*v**2 - 848*v = 0.
-1, 0, 1, 212
Determine u, given that -u**3/2 - 75*u**2 = 0.
-150, 0
Suppose -2*s**4/13 - 428*s**3/13 - 22898*s**2/13 = 0. What is s?
-107, 0
Solve 12*l**5 - 3*l**4 - 21*l**3 + 3*l**2 + 9*l = 0.
-1, -3/4, 0, 1
Factor 22*c**5/9 + 40*c**4/9 + 14*c**3/9 - 4*c**2/9.
2*c**2*(c + 1)**2*(11*c - 2)/9
Factor 4*j**2 + 12*j.
4*j*(j + 3)
Factor u**3/4 + 3*u**2/4.
u**2*(u + 3)/4
Factor -4*c**2/9 + 112*c/3 - 784.
-4*(c - 42)**2/9
What is p in 4*p**5/3 - 20*p**4/3 - 152*p**3/3 + 8*p**2 + 156*p - 108 = 0?
-3, 1, 9
Factor n**4/2 + 3*n**3 + 13*n**2/2 + 6*n + 2.
(n + 1)**2*(n + 2)**2/2
Determine h, given that 4*h**5 + 16*h**4 + 12*h**3 = 0.
-3, -1, 0
Factor 2*f**3/7 + 10*f**2/7 - 50*f/7 - 250/7.
2*(f - 5)*(f + 5)**2/7
Let 5*q**5 + 140*q**4 + 505*q**3 - 3590*q**2 - 3960*q = 0. Calculate q.
-22, -9, -1, 0, 4
Factor -154*d**2/5 - 58*d/5 - 4/5.
-2*(7*d + 2)*(11*d + 1)/5
Factor 4*i**5 - 4544*i**4 + 1719144*i**3 - 216036064*i**2 - 217759756*i.
4*i*(i - 379)**3*(i + 1)
Solve -2*z**5/3 + 70*z**4/3 + 74*z**3/3 - 70*z**2/3 - 24*z = 0 for z.
-1, 0, 1, 36
Solve 2*r**3/3 + 18*r**2 + 400*r/3 + 200 = 0 for r.
-15, -10, -2
Suppose 2*x**4/3 + 802*x**3/3 - 2*x**2 - 2410*x/3 - 1604/3 = 0. What is x?
-401, -1, 2
Factor 3*w**3 + 525*w**2 + 23229*w + 22707.
3*(w + 1)*(w + 87)**2
Find k such that 3*k**5/5 - 12*k**4/5 - 24*k**3/5 + 6*k**2 + 69*k/5 + 6 = 0.
-1, 2, 5
What is f in -5*f**4/4 - 309*f**3/2 + 1503*f**2/4 - 283*f + 63 = 0?
-126, 2/5, 1
Suppose -4*d**5 + 224*d**4 - 1080*d**3 - 61648*d**2 - 119140*d - 58800 = 0. What is d?
-12, -1, 35
Let 2*o**5/3 - 76*o**4/9 + 86*o**3/3 - 68*o**2/9 - 88*o/3 + 16 = 0. Calculate o.
-1, 2/3, 1, 6
Factor v**2/4 + 163*v + 651/4.
(v + 1)*(v + 651)/4
Determine s so that -9*s**2 + 174*s/5 + 24/5 = 0.
-2/15, 4
Factor 3*l**3/4 - 3*l/4.
3*l*(l - 1)*(l + 1)/4
Factor 5*z**3 - 575*z**2 + 16815*z - 16245.
5*(z - 57)**2*(z - 1)
Let -3*t**5 + 24*t**4 - 45*t**3 - 24*t**2 + 48*t = 0. Calculate t.
-1, 0, 1, 4
Factor -4*i**2 - 418*i + 210.
-2*(i + 105)*(2*i - 1)
Factor -i**3 - 7884*i**2 - 20719152*i - 18149977152.
-(i + 2628)**3
What is g in -2*g**3/5 - 146*g**2/5 - 3312*g/5 - 23976/5 = 0?
-37, -18
Solve -3*y**5 + 27*y**4 - 15*y**3 - 75*y**2 + 18*y + 48 = 0 for y.
-1, 1, 2, 8
Let 4*t**2 - 104*t + 676 = 0. Calculate t.
13
Factor 4*o**5/7 - 116*o**4/7 + 1080*o**3/7 - 400*o**2 - 4000*o/7.
4*o*(o - 10)**3*(o + 1)/7
Factor -2*a**2/9 + 20*a/9 - 16/3.
-2*(a - 6)*(a - 4)/9
Factor 3*c**2 + 24*c - 27.
3*(c - 1)*(c + 9)
Find d such that 2*d**2/3 - 58*d/3 + 56/3 = 0.
1, 28
Find k such that -295*k**2 - 10*k/3 = 0.
-2/177, 0
Factor -2*t**3/9 + 134*t**2/9 + 274*t/9 + 46/3.
-2*(t - 69)*(t + 1)**2/9
Factor -4*i**5 - 156*i**4 - 300*i**3 - 148*i**2.
-4*i**2*(i + 1)**2*(i + 37)
Find l such that 2*l**5/9 - 20*l**4/9 + 62*l**3/9 - 44*l**2/9 - 64*l/9 + 64/9 = 0.
-1, 1, 2, 4
Factor 4*y**4 + 28*y**3.
4*y**3*(y + 7)
Factor -o**4/3 - 7*o**3/3 - 4*o**2.
-o**2*(o + 3)*(o + 4)/3
Let 2*d**3/7 - 8*d**2/7 + 8*d/7 = 0. What is d?
0, 2
What is b in b**3/6 + 53*b**2/6 - 10*b - 54 = 0?
-54, -2, 3
What is h in -h**2/3 - 13*h + 82/3 = 0?
-41, 2
Factor -5*j**4 + 25*j**3 + 110*j**2 + 80*j.
-5*j*(j - 8)*(j + 1)*(j + 2)
Solve -q**3/9 + 3*q**2 + 448*q/3 - 37888/9 = 0 for q.
-37, 32
Factor 3*q**4/4 - 6*q**3 - 15*q**2/2 + 6*q + 27/4.
3*(q - 9)*(q - 1)*(q + 1)**2/4
Factor -d**4 - 145*d**3 - 5604*d**2 - 25060*d - 19600.
-(d + 1)*(d + 4)*(d + 70)**2
Factor -2*p**3/5 + 2*p**2 + 176*p/5 + 416/5.
-2*(p - 13)*(p + 4)**2/5
What is v in 3*v**3/4 - 21*v**2/2 + 147*v/4 - 27 = 0?
1, 4, 9
Suppose 14*g**3 - 52*g**2 + 26*g + 12 = 0. What is g?
-2/7, 1, 3
Solve a**3/9 + 47*a**2/9 - 148*a/9 + 100/9 = 0 for a.
-50, 1, 2
Let -3*a**2/2 - 1482*a - 366054 = 0. Calculate a.
-494
Factor -3*l**4 + 75*l**3 + 159*l**2 + 81*l.
-3*l*(l - 27)*(l + 1)**2
Find t, given that 8*t**5/5 + 138*t**4/5 + 130*t**3 + 594*t**2/5 - 218*t - 60 = 0.
-10, -5, -3, -1/4