2 + 48*w.
-w*(w - 6)*(w + 2)*(w + 4)
Factor -5*u**2/3 + 320/3.
-5*(u - 8)*(u + 8)/3
Suppose 2*d**4/5 + 1122*d**3/5 - 2*d**2/5 - 1122*d/5 = 0. Calculate d.
-561, -1, 0, 1
Suppose -k**4/3 - 34*k**3/3 + 455*k**2/3 - 584*k + 720 = 0. What is k?
-45, 3, 4
Suppose 2*x**3/3 - 128*x**2/3 + 760*x - 2400 = 0. Calculate x.
4, 30
Factor 4*f**3 + 676*f**2 - 1364*f + 684.
4*(f - 1)**2*(f + 171)
Let -3*y**2 + 51*y + 54 = 0. What is y?
-1, 18
Factor l**4/3 - 8*l**3/3 - 58*l**2/3 - 88*l/3 - 13.
(l - 13)*(l + 1)**2*(l + 3)/3
Solve -x**3/8 - 17*x**2/4 - 289*x/8 = 0 for x.
-17, 0
Let -5*k**2 + 25*k - 20 = 0. Calculate k.
1, 4
Factor -v**2/4 + 7*v/2 + 30.
-(v - 20)*(v + 6)/4
Factor 21*o**3 + 417*o**2/5 + 408*o/5 - 12/5.
3*(o + 2)**2*(35*o - 1)/5
Let 140*f**5 + 426*f**4 + 296*f**3 + 6*f**2 - 4*f = 0. What is f?
-2, -1, -1/7, 0, 1/10
Factor -v**2/3 + 17*v/3 - 10.
-(v - 15)*(v - 2)/3
Find x such that -x**5 - 17*x**4 + 22*x**3 + 68*x**2 - 72*x = 0.
-18, -2, 0, 1, 2
Let y**3 + 61*y**2 + 223*y - 285 = 0. Calculate y.
-57, -5, 1
Factor 3*f**3 - 24*f**2 - 3*f + 24.
3*(f - 8)*(f - 1)*(f + 1)
Determine b so that -3*b**5 + 2457*b**4 - 668292*b**3 + 59690352*b**2 + 183786048*b + 123424944 = 0.
-2, -1, 274
Let -b**2/4 - 15*b/4 + 437/2 = 0. Calculate b.
-38, 23
Find p, given that -p**3/3 - 35*p**2/3 - 76*p - 108 = 0.
-27, -6, -2
Factor -2*p**3/7 - 80*p**2/7 - 874*p/7 - 1444/7.
-2*(p + 2)*(p + 19)**2/7
Factor 3*u**3 - 351*u**2.
3*u**2*(u - 117)
Factor -3*u**3 + 486*u**2 - 20619*u + 74892.
-3*(u - 79)**2*(u - 4)
Suppose 2*x**3/3 + 3352*x**2 + 5617952*x + 9415687552/3 = 0. Calculate x.
-1676
Determine k so that 5*k**5 - 80*k**4 + 210*k**3 + 1960*k**2 - 8575*k = 0.
-5, 0, 7
Solve d**3/4 - 8*d**2 = 0.
0, 32
Factor -v**3/4 + 19*v**2/4 - 55*v/4 - 363/4.
-(v - 11)**2*(v + 3)/4
Suppose -3*q**5 + 3*q**4 + 3*q**3 - 3*q**2 = 0. What is q?
-1, 0, 1
Suppose 9*b**4/4 - 51*b**3/4 + 12*b**2 + 15*b - 12 = 0. What is b?
-1, 2/3, 2, 4
Factor -25*u**4 + 145*u**3 - 204*u**2 + 100*u - 16.
-(u - 4)*(u - 1)*(5*u - 2)**2
Factor -2*c**4/3 - 8*c**3/3 - 2*c**2/3 + 4*c.
-2*c*(c - 1)*(c + 2)*(c + 3)/3
Solve 2*n**5/3 + 6*n**4 + 62*n**3/3 + 34*n**2 + 80*n/3 + 8 = 0 for n.
-3, -2, -1
Factor -2*j**2/9 + 194*j/3 - 580/9.
-2*(j - 290)*(j - 1)/9
Factor -5*p**4 + 65*p**3 - 220*p**2 + 160*p.
-5*p*(p - 8)*(p - 4)*(p - 1)
Factor 2*y**3/3 + 3010*y**2 + 4530050*y + 6817725250/3.
2*(y + 1505)**3/3
Factor -2*x**3/7 + 454*x**2/21 - 1216*x/3 - 2888/21.
-2*(x - 38)**2*(3*x + 1)/21
Suppose 2*p**3/7 + 64*p**2/7 + 62*p/7 = 0. What is p?
-31, -1, 0
Factor k**5/8 + 257*k**4/8 + 16123*k**3/8 - 49921*k**2/8 + 6305*k - 4225/2.
(k - 1)**3*(k + 130)**2/8
Find l such that 3*l**2/7 + 48*l/7 - 51/7 = 0.
-17, 1
Determine k so that -3*k**3 - 141*k**2 + 150*k + 288 = 0.
-48, -1, 2
Factor w**2/3 + 5*w - 34/3.
(w - 2)*(w + 17)/3
Factor 5*u**3 - 135*u**2 - 285*u - 145.
5*(u - 29)*(u + 1)**2
Factor -2*v**4 + 4*v**3 - 4*v + 2.
-2*(v - 1)**3*(v + 1)
Factor 28*s**3/5 + 673*s**2/5 + 22*s/5 - 48/5.
(s + 24)*(4*s - 1)*(7*s + 2)/5
Let x**3 + 24*x**2 - x - 24 = 0. What is x?
-24, -1, 1
Factor 2*r**3/3 - 826*r**2/3 + 3280*r/3 - 3272/3.
2*(r - 409)*(r - 2)**2/3
Suppose 3*t**2/2 - 15*t + 75/2 = 0. Calculate t.
5
Factor 3*z**3/2 + 18*z**2 - 45*z/2 - 39.
3*(z - 2)*(z + 1)*(z + 13)/2
Let n**4 - 90*n**3 + 2025*n**2 = 0. Calculate n.
0, 45
Suppose 2*a**4/5 - 8*a**3/5 + 6*a**2/5 + 8*a/5 - 8/5 = 0. What is a?
-1, 1, 2
Factor 5*c**2/4 - 105*c/4 + 25.
5*(c - 20)*(c - 1)/4
Suppose -48*u**4 - 504*u**3 + 261*u**2 - 33*u = 0. Calculate u.
-11, 0, 1/4
Factor -5*c**2 + 100*c.
-5*c*(c - 20)
Factor 3*h**2 - 150*h + 1875.
3*(h - 25)**2
Solve 27*l**4/4 + 3195*l**3/2 - 534*l**2 - 355*l/2 + 237/4 = 0 for l.
-237, -1/3, 1/3
Suppose -5*p**3 + 65*p**2 - 50*p - 120 = 0. Calculate p.
-1, 2, 12
Determine s so that 68*s**2/5 - 12*s = 0.
0, 15/17
Factor 25*l**3 + 310*l**2 + 1001*l + 968.
(l + 8)*(5*l + 11)**2
Factor 3*j**2/4 - 57*j/2 - 369/4.
3*(j - 41)*(j + 3)/4
Factor -7*r**3/3 - 16*r**2/3 - 4*r/3.
-r*(r + 2)*(7*r + 2)/3
Determine p so that -40*p**4 + 54*p**3 - 8*p**2 - 6*p = 0.
-1/4, 0, 3/5, 1
Factor -2*b**3 + 10*b**2 - 16*b + 8.
-2*(b - 2)**2*(b - 1)
Let -h**5/3 + 10*h**4/3 + 2*h**3/3 - 20*h**2/3 - h/3 + 10/3 = 0. What is h?
-1, 1, 10
Suppose -4*m**4 - 368*m**3 - 356*m**2 + 728*m = 0. Calculate m.
-91, -2, 0, 1
Suppose m**3/7 - 432*m**2/7 + 123*m - 430/7 = 0. Calculate m.
1, 430
Find m, given that -2*m**4/5 - 102*m**3/5 - 98*m**2/5 + 102*m/5 + 20 = 0.
-50, -1, 1
What is a in 4*a**3/3 - 16*a**2/3 = 0?
0, 4
Suppose 4*j**5 - 84*j**4 + 476*j**3 - 748*j**2 - 480*j + 832 = 0. Calculate j.
-1, 1, 4, 13
What is b in -3*b**5 + 27*b**4 - 21*b**3 - 27*b**2 + 24*b = 0?
-1, 0, 1, 8
Determine n so that -2*n**3 + 20*n**2 + 2*n - 20 = 0.
-1, 1, 10
Determine j so that j**2 - 19*j/3 + 26/3 = 0.
2, 13/3
What is x in 6*x**2/5 - 56*x/5 + 392/15 = 0?
14/3
Suppose -5*n**2 - 845*n = 0. What is n?
-169, 0
Factor -2*y**2/15 - 18*y/5 + 56/15.
-2*(y - 1)*(y + 28)/15
Determine m so that -3*m**2/7 - 258*m/7 - 5547/7 = 0.
-43
Factor -x**5/3 + 2*x**4/3 - 2*x**2/3 + x/3.
-x*(x - 1)**3*(x + 1)/3
Factor -u**2/6 - 71*u/3 - 47/2.
-(u + 1)*(u + 141)/6
Factor 3*m**5/7 + 33*m**4/7 - 1266*m**3/7 - 3726*m**2/7 + 180063*m/7 - 789507/7.
3*(m - 9)**3*(m + 19)**2/7
Let z**3 + 50*z**2 + 96*z = 0. Calculate z.
-48, -2, 0
Let 2*i**2 - 196*i + 4802 = 0. Calculate i.
49
Factor -2*f**2/9 - 16*f/9 + 22/3.
-2*(f - 3)*(f + 11)/9
Factor -5*u**3 + 15*u**2 - 20.
-5*(u - 2)**2*(u + 1)
Find t such that -5*t**4 - 1090*t**3 - 62585*t**2 - 346620*t - 505620 = 0.
-106, -3
Find t, given that 4*t**5/9 - 38*t**4/9 + 4*t**3/3 + 56*t**2/9 - 16*t/9 - 2 = 0.
-1, -1/2, 1, 9
Solve 2*t**3/3 + 4*t**2 - 90*t + 800/3 = 0.
-16, 5
Let -2*q**5/15 - 64*q**4/5 - 1096*q**3/15 - 476*q**2/5 + 366*q/5 + 108 = 0. Calculate q.
-90, -3, -1, 1
Determine z, given that 5*z**4 - 1580*z**3 + 123230*z**2 + 251220*z + 126405 = 0.
-1, 159
Suppose -2*r**2/3 + 596*r/3 + 1010 = 0. What is r?
-5, 303
Factor 20*w**2 + 18792*w - 7520.
4*(w + 940)*(5*w - 2)
Suppose 5*y**4 + 780*y**3 + 26190*y**2 - 336980*y + 310005 = 0. Calculate y.
-83, 1, 9
Factor -q**3 + q.
-q*(q - 1)*(q + 1)
Let -2*a**3/3 - 382*a**2/3 - 18430*a/3 - 18050/3 = 0. What is a?
-95, -1
Determine h, given that -2*h**4 - 4*h**3 + 16*h**2 = 0.
-4, 0, 2
Factor -p**2/10 + 523*p/10 - 521/5.
-(p - 521)*(p - 2)/10
Factor 51*l**5 + 504*l**4 + 1215*l**3 - 150*l**2.
3*l**2*(l + 5)**2*(17*l - 2)
Suppose -2*s**4/9 - 14*s**3/3 - 74*s**2/9 + 14*s/3 + 76/9 = 0. Calculate s.
-19, -2, -1, 1
Factor -5*c**3 - 100*c**2 + 345*c.
-5*c*(c - 3)*(c + 23)
Find o, given that 2*o**4 - 12*o**3 + 22*o**2 - 12*o = 0.
0, 1, 2, 3
Let j**2/5 - 4*j/5 - 357/5 = 0. Calculate j.
-17, 21
Solve 2*m**4 - 14*m**3 + 20*m**2 = 0.
0, 2, 5
Factor 5*v**2 + 75*v + 70.
5*(v + 1)*(v + 14)
Factor -2*j**4/3 - 32*j**3/3 - 52*j**2 - 224*j/3 - 98/3.
-2*(j + 1)**2*(j + 7)**2/3
Solve 5*i**2 + 1210*i - 3675 = 0 for i.
-245, 3
Factor 2*x**3/7 - 12*x**2/7 - 50*x/7 - 36/7.
2*(x - 9)*(x + 1)*(x + 2)/7
Find j such that 2*j**5 + 4*j**4 - 10*j**3 - 20*j**2 + 8*j + 16 = 0.
-2, -1, 1, 2
Factor 7*h**3/4 + 1203*h**2/2 - 172*h.
h*(h + 344)*(7*h - 2)/4
Solve 4*n**4 + 4*n**3 - 12*n**2 - 4*n + 8 = 0 for n.
-2, -1, 1
Suppose -5*v**2 - 510*v - 13005 = 0. What is v?
-51
Suppose 2*f**3 - 176*f**2 + 502*f + 680 = 0. Calculate f.
-1, 4, 85
Factor b**3/5 - 4*b**2/5 - 13*b - 132/5.
(b - 11)*(b + 3)*(b + 4)/5
Determine t so that -2*t**3 + 122*t**2 - 462*t + 342 = 0.
1, 3, 57
Find w such that -5*w**5 + 30*w**4 - 50*w**3 + 55*w - 30 = 0.
-1, 1, 2, 3
Factor -o**4 + 303*o**3 - 23101*o**2 + 22197*o + 45602.
-(o - 151)**2*(o - 2)*(o + 1)
Solve -v**5/3 - 41*v**4/3 + 43*v**3/3 + 41*v**2/3 - 14*v = 0.
-42, -1, 0, 1
Factor 3*w**4 - 6*w**3 - 36*w**2 - 42*w - 15.
3*(w - 5)*(w + 1)**3
Factor 4*i**3/7 + 172*i**2/7 + 332*i/7 + 164/7.
4*(i + 1)**2*(i + 41)/7
Factor -m**4/5 - 7*m**3/5 + 6*m**2.
-m**2*(m - 3)*(m + 10)/5
Factor 375*x**4/7 - 1425*x**3/7 - 2070*x**2/7 - 876*x/7 - 120/7.
3*(x - 5)*(5*x + 2)**3/7
Factor -5*k**2 - 670*k + 1360.
-5*(k - 2)*(k + 136)
Factor q**4/2 + 85*q**3/2 + 167*q**2/2 + 83*q/2.
q*(q + 1)**2*(q + 83)/2
Let -s**4/5 - 22*s**3/5 - 137*s**2/5 - 28*s + 60 = 0. Calculate s.
-10, -3, 1
Factor -4*o**2 - 1888*o - 1884.
-4*(o + 1)*(o + 471)
Suppose 4*q**4 + 8*q**3 - 4*q**2 - 8*q = 0. Calculate