24*l = 0. Calculate l.
-3, -2, -1/2, 0, 1
Find u such that 33*u**5/10 + 29*u**4/2 + 25*u**3 + 21*u**2 + 17*u/2 + 13/10 = 0.
-1, -13/33
Factor -2*f**2/23 - 36*f/23 - 34/23.
-2*(f + 1)*(f + 17)/23
Solve -2*p**4 - 6*p**3 + 6*p**2 + 14*p - 12 = 0 for p.
-3, -2, 1
Factor -5*w**4 - 105*w**3 + 610*w**2 - 1020*w + 520.
-5*(w - 2)**2*(w - 1)*(w + 26)
Factor -4*i**2 - 5264*i - 1731856.
-4*(i + 658)**2
Suppose 2*i**4 - 118*i**3/7 + 318*i**2/7 - 338*i/7 + 124/7 = 0. What is i?
1, 2, 31/7
Solve 229*d**2/2 - 227*d/2 - 1 = 0.
-2/229, 1
Factor -4*o**2/9 - 92*o/9 - 80/3.
-4*(o + 3)*(o + 20)/9
Find j, given that 4*j**3 - 52*j**2 - 712*j - 1760 = 0.
-5, -4, 22
Factor 3*v**2 - 117*v - 120.
3*(v - 40)*(v + 1)
Solve 50*s**2 - 135*s + 25 = 0.
1/5, 5/2
Factor -q**2/10 + 7*q/5 + 19/2.
-(q - 19)*(q + 5)/10
Suppose 3*h**5 + 318*h**4 + 8391*h**3 + 78444*h**2 + 223020*h + 194400 = 0. What is h?
-72, -15, -2
Determine w so that -3*w**2 + 255*w - 5250 = 0.
35, 50
Factor -4*x**2/5 + 206*x/5 - 60.
-2*(x - 50)*(2*x - 3)/5
Determine j, given that -15*j**5/4 + 469*j**4/4 + 845*j**3/4 + 427*j**2/4 + 33*j/2 = 0.
-1, -2/5, -1/3, 0, 33
Factor 3*u**5 - 30*u**4 + 75*u**3.
3*u**3*(u - 5)**2
Solve -4*a**3 + 460*a**2 - 13452*a + 12996 = 0.
1, 57
Find u such that -2*u**2/3 + 1168*u/3 - 170528/3 = 0.
292
Solve -2*w**4 - 4*w**3 + 8*w**2 + 4*w - 6 = 0 for w.
-3, -1, 1
Suppose 3*u**5 + 48*u**4 + 6*u**3 - 588*u**2 - 9*u + 540 = 0. What is u?
-15, -4, -1, 1, 3
Factor -2*b**2/11 - 342*b/11 + 692/11.
-2*(b - 2)*(b + 173)/11
Factor f**3/5 - 35*f**2 + 1023*f/5 - 1521/5.
(f - 169)*(f - 3)**2/5
Let 2*l**4/25 - 18*l**2/25 + 8*l/25 + 24/25 = 0. Calculate l.
-3, -1, 2
Factor -8*d**5 - 4*d**4.
-4*d**4*(2*d + 1)
Find f such that 3*f**2 + 30*f + 27 = 0.
-9, -1
Solve -a**5 - 9*a**4 + 46*a**3 - 74*a**2 + 51*a - 13 = 0.
-13, 1
Let -5*w**2 + 200*w + 205 = 0. What is w?
-1, 41
What is v in 5*v**4 + 145*v**3 - 1780*v**2 - 59520*v - 57600 = 0?
-24, -1, 20
Factor -x**2/4 - 125*x/2 + 126.
-(x - 2)*(x + 252)/4
Solve -2*t**2/3 + 52*t/9 + 2 = 0.
-1/3, 9
Factor -10*t**2 - 82*t - 156.
-2*(t + 3)*(5*t + 26)
Factor z**2/5 + 6*z/5 - 16/5.
(z - 2)*(z + 8)/5
Factor 2*y**2/3 - 15860*y/3 + 31442450/3.
2*(y - 3965)**2/3
Let r**2/3 + 388*r/3 + 37636/3 = 0. What is r?
-194
Suppose -3*w**3/5 + 63*w**2/5 + 648*w/5 + 1392/5 = 0. Calculate w.
-4, 29
Determine c, given that -5*c**2 - 80*c + 85 = 0.
-17, 1
What is u in -268*u**5 - 1080*u**4 - 568*u**3 + 1056*u**2 + 836*u + 24 = 0?
-3, -1, -2/67, 1
Find s such that 4*s**2 - 1152*s + 82944 = 0.
144
Factor a**3/11 - 53*a**2/11 + 103*a/11 - 51/11.
(a - 51)*(a - 1)**2/11
Factor -2*v**4/7 + 22*v**3/7 - 48*v**2/7 - 72*v/7.
-2*v*(v - 6)**2*(v + 1)/7
Factor w**3/3 - 4*w**2/3 - 27*w - 60.
(w - 12)*(w + 3)*(w + 5)/3
Factor j**4 - 2*j**3 - 24*j**2 + 32*j + 128.
(j - 4)**2*(j + 2)*(j + 4)
Solve -3*u**3 + 33*u**2 = 0 for u.
0, 11
Factor 2*x**4 - 18*x**3 + 30*x**2 - 14*x.
2*x*(x - 7)*(x - 1)**2
Suppose 3*z**2 + 279*z/2 + 69 = 0. What is z?
-46, -1/2
Factor -4*a**2 + 820*a - 816.
-4*(a - 204)*(a - 1)
What is b in 2*b**4 - 28*b**3 - 216*b**2 + 4860*b - 18954 = 0?
-13, 9
Factor -5*o**4 + 35*o**2 + 30*o.
-5*o*(o - 3)*(o + 1)*(o + 2)
Factor -q**3 - 83*q**2 - 2291*q - 21025.
-(q + 25)*(q + 29)**2
Determine l so that 2*l**4/3 - 4*l**3 + 26*l**2/3 - 8*l + 8/3 = 0.
1, 2
Factor -2*i**3/15 - 554*i**2/5 - 114258*i/5 + 347778/5.
-2*(i - 3)*(i + 417)**2/15
Suppose -5*h**4 + 960*h**3 - 53120*h**2 + 675840*h - 2478080 = 0. What is h?
8, 88
Suppose -5*m**4 + 75*m**3 - 125*m**2 - 975*m - 770 = 0. Calculate m.
-2, -1, 7, 11
Let -2*d**4/7 + 10*d**3/7 + 6*d**2/7 - 26*d/7 - 20/7 = 0. Calculate d.
-1, 2, 5
Factor j**4/2 + 15*j**3/4 - 41*j**2/4 - 96*j - 45.
(j - 5)*(j + 6)**2*(2*j + 1)/4
Find w such that -4*w**2 - 4*w + 8 = 0.
-2, 1
What is a in -4*a**3 + 32*a**2 = 0?
0, 8
Factor 4*a**4/3 + 80*a**3/3 + 596*a**2/3 + 1960*a/3 + 800.
4*(a + 4)*(a + 5)**2*(a + 6)/3
Suppose 19*x**4 + 401*x**3 + 2835*x**2 + 6811*x + 686 = 0. What is x?
-7, -2/19
Factor 6*c**2 - 117*c + 111.
3*(c - 1)*(2*c - 37)
Suppose -f**4 + 28*f**3 - 123*f**2 + 188*f - 92 = 0. What is f?
1, 2, 23
Suppose 4*v**2/5 - 72*v/5 - 32 = 0. What is v?
-2, 20
Factor 9*g**3/5 - 21*g**2/5 - 18*g/5.
3*g*(g - 3)*(3*g + 2)/5
Determine x so that 5*x**4 - 10*x**3 - 35*x**2 - 20*x = 0.
-1, 0, 4
Factor -o**3/4 - 7*o**2/2 - 45*o/4.
-o*(o + 5)*(o + 9)/4
Solve 3*q**5/10 - 7*q**4/2 + 13*q**3/10 + 99*q**2/10 + 2*q/5 - 22/5 = 0 for q.
-1, 2/3, 2, 11
Factor 27*s**4 + 114*s**3 + 73*s**2/3 + 4*s/3.
s*(s + 4)*(9*s + 1)**2/3
Factor -5*v**3 - 5*v**2 + 60*v.
-5*v*(v - 3)*(v + 4)
Determine t, given that 4*t**3 + 52*t**2 + 104*t - 160 = 0.
-10, -4, 1
Solve 15*g**3 + 63*g**2 + 30*g - 72 = 0 for g.
-3, -2, 4/5
Factor -4*j**3 + 816*j**2 - 788*j - 4872.
-4*(j - 203)*(j - 3)*(j + 2)
Factor -m**2/5 - 86*m/5 - 1849/5.
-(m + 43)**2/5
Factor -4*v**4 + 380*v**3 + 4*v**2 - 380*v.
-4*v*(v - 95)*(v - 1)*(v + 1)
Suppose 4*x**4 - 216*x**3 + 2692*x**2 + 6048*x + 3136 = 0. Calculate x.
-1, 28
Factor -35*u**3 + 75*u**2 - 45*u + 5.
-5*(u - 1)**2*(7*u - 1)
Factor -2*o**3 + 12*o**2 + 18*o - 108.
-2*(o - 6)*(o - 3)*(o + 3)
Factor -3*m**4 - 195*m**3.
-3*m**3*(m + 65)
Factor -2*f**4/21 - 218*f**3/21 - 2664*f**2/7 - 33696*f/7 - 31104/7.
-2*(f + 1)*(f + 36)**3/21
Factor -3*l**3 - 90*l**2 + 864*l - 1824.
-3*(l - 4)**2*(l + 38)
Factor -2*y**3 - 96*y**2 - 186*y - 92.
-2*(y + 1)**2*(y + 46)
What is b in -9*b**4/2 - 35*b**3/2 + 825*b**2/2 + 6375*b/2 + 6250 = 0?
-5, 100/9
Factor -x**4/2 - 100*x**3 - 7500*x**2 - 250000*x - 3125000.
-(x + 50)**4/2
Suppose 10*g**3 + 342*g**2 + 708*g + 128 = 0. Calculate g.
-32, -2, -1/5
Determine a so that 7*a**5 + 5*a**4 - 37*a**3 + 31*a**2 - 6*a = 0.
-3, 0, 2/7, 1
What is u in -u**4/7 + 23*u**3/7 - 94*u**2/7 + 72*u/7 = 0?
0, 1, 4, 18
Let 3*l**2/4 + 213*l/2 + 423/4 = 0. What is l?
-141, -1
Suppose -16*h**4 + 356*h**3 - 2280*h**2 + 4708*h - 1040 = 0. Calculate h.
1/4, 4, 5, 13
Factor -3*c**2 + 522*c + 5520.
-3*(c - 184)*(c + 10)
Suppose -m**3/5 + 69*m**2/5 - 231*m - 245 = 0. What is m?
-1, 35
Find r such that 15*r**4 - 151*r**3 - 155*r**2 + 11*r = 0.
-1, 0, 1/15, 11
Let c**2 - 241*c - 486 = 0. What is c?
-2, 243
Find k, given that -4*k**4 + 76*k**3 - 296*k**2 - 304*k + 1248 = 0.
-2, 2, 6, 13
Factor -2*t**2/7 - 12*t/7 - 18/7.
-2*(t + 3)**2/7
Solve 2*w**4 + 22*w**3 + 28*w**2 - 88*w - 144 = 0 for w.
-9, -2, 2
Suppose -i**3/8 - 3*i**2/4 - 5*i/8 + 3/2 = 0. What is i?
-4, -3, 1
Factor 7*l**3 - 928*l**2 + 31020*l - 17424.
(l - 66)**2*(7*l - 4)
Let 4*s**2/5 - 35448*s/5 + 78535044/5 = 0. What is s?
4431
Suppose -3*f**2 - 327*f - 4692 = 0. Calculate f.
-92, -17
Factor -2*z**3/15 - 4*z**2/15 + 22*z/15 + 8/5.
-2*(z - 3)*(z + 1)*(z + 4)/15
Let -2*m**3/7 - 122*m**2/7 - 568*m/7 - 64 = 0. What is m?
-56, -4, -1
Factor j**5/5 - 19*j**3/5 + 6*j**2.
j**2*(j - 3)*(j - 2)*(j + 5)/5
Let -288*r**4 + 304*r**3 - 24*r**2 - 60*r + 16 = 0. Calculate r.
-4/9, 1/2
Determine s so that 15*s**5/2 - 339*s**4/2 + 819*s**3 + 1728*s**2 - 1296*s = 0.
-2, 0, 3/5, 12
Let -r**4 - 12*r**3 - 46*r**2 - 60*r - 25 = 0. What is r?
-5, -1
Factor -5*y**2 - 160*y - 155.
-5*(y + 1)*(y + 31)
Let -z**2 - 9*z - 8 = 0. Calculate z.
-8, -1
Factor -i**2/4 + 9*i - 35/4.
-(i - 35)*(i - 1)/4
Factor -2*a**2/3 + 74*a/3 - 124.
-2*(a - 31)*(a - 6)/3
Factor 4*s**3 - 12*s**2 - 960*s + 6800.
4*(s - 10)**2*(s + 17)
Factor 4*a**3/11 - 2*a**2/11 - 12*a/11.
2*a*(a - 2)*(2*a + 3)/11
Suppose -a**3/2 - 6*a**2 - 10*a = 0. Calculate a.
-10, -2, 0
Factor 3*j**2 - 1014*j - 1017.
3*(j - 339)*(j + 1)
Factor 2*y**4/11 - 366*y**3/11 + 15792*y**2/11 + 88360*y/11.
2*y*(y - 94)**2*(y + 5)/11
Factor -60*d**2/7 - 69*d/7 - 9/7.
-3*(d + 1)*(20*d + 3)/7
Suppose 2*v**2/3 - 72*v + 1944 = 0. Calculate v.
54
Suppose 2*o**4 + 110*o**3/7 + 28*o**2 - 128*o/7 - 192/7 = 0. What is o?
-4, -6/7, 1
Factor -2*h**3/3 - 734*h**2/3 + 1474*h/3 - 246.
-2*(h - 1)**2*(h + 369)/3
Suppose -2*d**4/15 - 12*d**3/5 + 166*d**2/15 - 72*d/5 + 88/15 = 0. What is d?
-22, 1, 2
Factor r**5 + 8*r**4 - 259*r**3 + 1078*r**2.
r**2*(r - 7)**2*(r + 22)
Factor 2*o**2/7 + 1716*o/7 + 368082/7.
2*(o + 429)**2/7
Determine d, given that -10*d**4 + 564*d**3 - 5414*d**2 + 12876*d - 4320 = 0.
2/5, 3, 8, 45
Factor -2*f**2 + 3572*f - 1594898.
-2*(f - 893)**2
Solve -n**2/5 + 56*n/5 + 116/5 = 0.
-2, 58
Solve -12*h**3/7 - 152*h**