2 - 22*u.
-2*u*(u - 11)*(u - 1)
Factor 4*t**2/5 + 1336*t/5 + 111556/5.
4*(t + 167)**2/5
Let -2*v**2/7 - 42*v - 292/7 = 0. Calculate v.
-146, -1
Factor 5*z**2 + 20*z.
5*z*(z + 4)
What is c in 10*c**4 - 188*c**3 - 486*c**2 + 504*c = 0?
-3, 0, 4/5, 21
Factor p**3/2 - 13*p**2/2 + 35*p/2 + 49/2.
(p - 7)**2*(p + 1)/2
Find t, given that 100*t**5 - 55*t**4 - 40*t**3 - 5*t**2 = 0.
-1/4, -1/5, 0, 1
Factor 3*x**2 - 114*x + 975.
3*(x - 25)*(x - 13)
Let 3*o**4 - 6*o**3 - 21*o**2 - 12*o = 0. Calculate o.
-1, 0, 4
Factor -4*a**4/3 + 10636*a**3 - 28281124*a**2 + 75199508716*a/3.
-4*a*(a - 2659)**3/3
Factor 4*v**5 - 16*v**4 - 72*v**3 - 80*v**2 - 28*v.
4*v*(v - 7)*(v + 1)**3
Find v, given that 80*v**3/9 + 56*v**2/9 - 7*v/9 - 1/3 = 0.
-3/4, -1/5, 1/4
Let -r**4/2 - 241*r**3/2 - 1056*r**2 - 2792*r - 1856 = 0. What is r?
-232, -4, -1
Factor -t**3/2 - 2*t**2 + 64*t + 384.
-(t - 12)*(t + 8)**2/2
Solve -2*v**4 - 20*v**3 + 2*v**2 + 20*v = 0.
-10, -1, 0, 1
Factor 5*y**3/3 + 680*y**2/3 + 1345*y/3 + 670/3.
5*(y + 1)**2*(y + 134)/3
Solve 3*r**5 - 60*r**4 + 435*r**3 - 1350*r**2 + 1620*r - 648 = 0 for r.
1, 6
Find f such that -3*f**4/8 + 111*f**3/8 - 1323*f**2/8 + 5265*f/8 - 2025/4 = 0.
1, 6, 15
Solve 4*r**3 - 44*r**2 = 0 for r.
0, 11
Let o**2/10 + 36*o/5 + 648/5 = 0. What is o?
-36
What is i in 2*i**2/19 + 6*i/19 - 8/19 = 0?
-4, 1
What is a in -3*a**3 - 60*a**2 - 336*a - 576 = 0?
-12, -4
What is c in 9*c**5 + 129*c**4 + 669*c**3 + 1575*c**2 + 1674*c + 648 = 0?
-6, -3, -4/3, -1
Solve r**3 + 22*r**2 + 140*r + 200 = 0.
-10, -2
Let 8*i**4 - 22*i**3 - 2*i**2 + 28*i = 0. Calculate i.
-1, 0, 7/4, 2
Let d**2 - 155*d/3 + 392/3 = 0. What is d?
8/3, 49
Solve -2*b**3/11 - 472*b**2/11 = 0.
-236, 0
Solve -7*n**5 + 8*n**4 + 77*n**3 - 214*n**2 + 200*n - 64 = 0.
-4, 1, 8/7, 2
Suppose -2*x**5/13 - 264*x**4/13 - 9474*x**3/13 - 50668*x**2/13 - 97272*x/13 - 63504/13 = 0. What is x?
-63, -2
Let -g**3/9 + 14*g**2/9 - 64*g/9 + 32/3 = 0. Calculate g.
4, 6
Find d, given that -3*d**5 + 102*d**4 - 504*d**3 = 0.
0, 6, 28
Solve 4*z**5 + 132*z**4 - 3276*z**3 + 6140*z**2 - 3000*z = 0 for z.
-50, 0, 1, 15
Suppose 2*q**5/3 - 16*q**4/3 - 2*q**3/3 + 16*q**2/3 = 0. What is q?
-1, 0, 1, 8
Factor 4*m**5 - 8*m**4 + 4*m**3.
4*m**3*(m - 1)**2
Solve g**3/5 - 11*g**2 + 95*g - 225 = 0 for g.
5, 45
Factor -q**2 + 3*q + 154.
-(q - 14)*(q + 11)
Suppose 3*s**2 - 114*s - 240 = 0. What is s?
-2, 40
Factor j**3/2 + 25*j**2/2 - j/2 - 25/2.
(j - 1)*(j + 1)*(j + 25)/2
Suppose -4826809*d**4 - 4227028*d**3 + 574938*d**2 - 24500*d + 343 = 0. Calculate d.
-1, 7/169
Determine k so that -5*k**2 - 160*k + 165 = 0.
-33, 1
Let 98*r**4/5 + 37576*r**3/5 + 3591176*r**2/5 - 2061312*r/5 + 294912/5 = 0. Calculate r.
-192, 2/7
Factor -2*t**3/7 + 514*t**2/7 - 1020*t/7.
-2*t*(t - 255)*(t - 2)/7
What is b in -3*b**5 + 855*b**4 - 2538*b**3 - 12*b**2 + 3384*b = 0?
-1, 0, 2, 282
Determine w, given that 3*w**2 + 17*w/2 - 3/2 = 0.
-3, 1/6
What is r in 2*r**5/5 - 14*r**4 + 576*r**3/5 + 648*r**2/5 = 0?
-1, 0, 18
Factor -24*m**3 - 28*m**2 + 372*m - 440.
-4*(m - 2)*(m + 5)*(6*m - 11)
Let -v**3/2 - 47*v**2/3 + 509*v/6 + 30 = 0. What is v?
-36, -1/3, 5
Factor -16*v**2 + 852*v - 212.
-4*(v - 53)*(4*v - 1)
Factor -5*j**2 + 220*j.
-5*j*(j - 44)
Factor 5*l**4 - 10*l**3 - 5*l**2 + 10*l.
5*l*(l - 2)*(l - 1)*(l + 1)
Factor -118*h**2 - 128*h - 10.
-2*(h + 1)*(59*h + 5)
Factor -3*x**4 + 72*x**3 - 432*x**2.
-3*x**2*(x - 12)**2
Factor 10*g**2 - 38*g + 24.
2*(g - 3)*(5*g - 4)
Factor h**4 - 114*h**3 + 113*h**2.
h**2*(h - 113)*(h - 1)
Suppose 2*t**5/7 + 146*t**4/7 + 1550*t**3/7 + 5366*t**2/7 + 7376*t/7 + 488 = 0. Calculate t.
-61, -7, -2, -1
Factor 4*s**3/5 - 987*s**2/5 + 737*s/5 + 246/5.
(s - 246)*(s - 1)*(4*s + 1)/5
Factor x**5/3 - 2*x**4/3 - 2*x**3/3 + 8*x**2/3 - 7*x/3 + 2/3.
(x - 1)**4*(x + 2)/3
Let -5*p**2 + 3077*p/2 - 615/2 = 0. What is p?
1/5, 615/2
Determine b, given that -b**5/4 + 2*b**4 - 3*b**3 - 27*b**2/2 + 189*b/4 - 81/2 = 0.
-3, 2, 3
Factor -5*i**4 - 15*i**3 - 15*i**2 - 5*i.
-5*i*(i + 1)**3
Solve -u**3/7 + 206*u**2/7 + 4*u/7 - 824/7 = 0 for u.
-2, 2, 206
Let -2*j**2/11 - 452*j/11 - 25538/11 = 0. What is j?
-113
Factor -g**4/4 + 13*g**3/4 - 41*g**2/4 + 47*g/4 - 9/2.
-(g - 9)*(g - 2)*(g - 1)**2/4
Factor -5*n**3 + 895*n**2 + 4580*n + 3680.
-5*(n - 184)*(n + 1)*(n + 4)
Factor 5*h**4 - 10*h**3 - 195*h**2 + 740*h - 700.
5*(h - 5)*(h - 2)**2*(h + 7)
Let -r**4 - 8*r**3 + 27*r**2 + 74*r + 40 = 0. Calculate r.
-10, -1, 4
Solve 4*v**2 - 52*v - 192 = 0 for v.
-3, 16
Find d such that 2*d**3 - 62*d**2 + 224*d - 216 = 0.
2, 27
Factor -20*t**3/7 + 92*t**2/7 + 320*t/7 + 16.
-4*(t - 7)*(t + 2)*(5*t + 2)/7
Factor -5*g**4 + 85*g**3 + 185*g**2 + 95*g.
-5*g*(g - 19)*(g + 1)**2
Factor -64*t**2 - 2848*t - 31684.
-4*(4*t + 89)**2
Find g, given that -3*g**2 - 936*g - 73008 = 0.
-156
Determine z, given that 4*z**2 - 44*z + 40 = 0.
1, 10
Find z such that 4*z**2 + 5540*z - 5544 = 0.
-1386, 1
Find p such that 3*p**2/2 + 135*p/2 + 66 = 0.
-44, -1
Determine v, given that 5*v**4 + 75*v**3 + 135*v**2 + 65*v = 0.
-13, -1, 0
Determine q, given that -q**5/7 + 11*q**4/7 + 470*q**3/7 + 4150*q**2/7 + 2125*q + 19375/7 = 0.
-5, 31
Factor -n**2/4 - 119*n/4 - 117/2.
-(n + 2)*(n + 117)/4
Factor 5*b**3 - 205*b**2 + 550*b + 760.
5*(b - 38)*(b - 4)*(b + 1)
Factor -2*t**5/3 - 4*t**4 - 8*t**3 - 20*t**2/3 - 2*t.
-2*t*(t + 1)**3*(t + 3)/3
Factor 15*w**3 - 333*w**2 - 276*w.
3*w*(w - 23)*(5*w + 4)
Solve 4*n**2 - 76*n - 168 = 0.
-2, 21
Solve 3*q**2 - 39*q + 36 = 0 for q.
1, 12
Determine i, given that -360*i**5 + 4065*i**4 - 12310*i**3 + 10760*i**2 - 2050*i - 105 = 0.
-1/24, 1/3, 1, 3, 7
Factor 55*z**3 - 145*z**2 - 240*z + 540.
5*(z - 3)*(z + 2)*(11*z - 18)
Let -3*s**5 - 36*s**4 + 129*s**3 - 90*s**2 = 0. Calculate s.
-15, 0, 1, 2
Find y such that 837*y**3 + 6*y**2 - 3348*y - 24 = 0.
-2, -2/279, 2
Factor 3*n**4 - 243*n**3 + 240*n**2.
3*n**2*(n - 80)*(n - 1)
Factor -2*o**2 + 146*o - 284.
-2*(o - 71)*(o - 2)
Suppose -160*i**5 + 1552*i**4 + 566*i**3 - 884*i**2 + 242*i - 20 = 0. What is i?
-1, 1/5, 1/4, 10
Let 5*b**2 + 39760*b + 79042880 = 0. What is b?
-3976
What is s in 3*s**5 - 39*s**4 - 156*s**3 + 156*s**2 + 576*s = 0?
-3, -2, 0, 2, 16
What is y in -5*y**3 + 170*y**2 - 1355*y + 2070 = 0?
2, 9, 23
Factor 4*w**4 - 216*w**3.
4*w**3*(w - 54)
What is f in f**2/2 - 105*f + 11025/2 = 0?
105
Let -2*w**2/7 + 18*w/7 - 16/7 = 0. What is w?
1, 8
Factor 5*j**2 - 210*j.
5*j*(j - 42)
Find b, given that 4*b**2/9 - 8*b/9 = 0.
0, 2
Find l such that -l**2 - l + 20 = 0.
-5, 4
Factor -2*m**3 + 8*m**2 - 8*m.
-2*m*(m - 2)**2
Suppose n**4/4 + 5*n**3/2 - 39*n**2/4 - 124*n - 112 = 0. What is n?
-8, -1, 7
Find w, given that -39*w**3 - 114*w**2 - 111*w - 36 = 0.
-1, -12/13
Find p such that -2*p**5/7 - 22*p**4/7 - 58*p**3/7 + 22*p**2/7 + 60*p/7 = 0.
-6, -5, -1, 0, 1
Find q such that 5*q**5 + 2125*q**4 + 361250*q**3 + 30706250*q**2 + 1305015625*q + 22185265625 = 0.
-85
Let -3*r**4 - 86*r**3 - 215*r**2 - 184*r - 52 = 0. What is r?
-26, -1, -2/3
Factor -21*h**2/5 + 6222*h/5 - 1776/5.
-3*(h - 296)*(7*h - 2)/5
Factor 2*f**3/9 + 34*f**2/3 - 434*f/9 + 110/3.
2*(f - 3)*(f - 1)*(f + 55)/9
Find w, given that -231*w**5 + 2517*w**4 + 507*w**3 - 2649*w**2 - 276*w + 132 = 0.
-1, -2/7, 2/11, 1, 11
Determine b so that -3*b**4 + 45*b**3 - 39*b**2 - 45*b + 42 = 0.
-1, 1, 14
Factor 4*r**2/7 + 104*r/7.
4*r*(r + 26)/7
What is z in -z**3 - z**2 + 8*z + 12 = 0?
-2, 3
Determine t, given that 3*t**4/4 - 21*t**2/4 + 9*t/2 = 0.
-3, 0, 1, 2
Factor -b**5/2 + b**4/2 + b**3/2 - b**2/2.
-b**2*(b - 1)**2*(b + 1)/2
Solve 2*v**2/15 - 12*v/5 - 66 = 0 for v.
-15, 33
Find b such that 3*b**5/4 + 17*b**4/4 + 33*b**3/4 + 23*b**2/4 - 1 = 0.
-2, -1, 1/3
Let 5*a**4/3 - 91*a**3 + 540*a**2 - 1708*a/3 - 320 = 0. Calculate a.
-2/5, 2, 5, 48
What is k in -3*k**3/2 - 81*k**2/2 - 219*k - 180 = 0?
-20, -6, -1
Solve m**4/4 + 127*m**3/4 + 125*m**2/4 - 127*m/4 - 63/2 = 0 for m.
-126, -1, 1
Solve 3*t**4 + 87*t**3 - 288*t**2 = 0 for t.
-32, 0, 3
Factor d**4/2 - d**3/2 - d**2.
d**2*(d - 2)*(d + 1)/2
Factor -2*d**4 + 38*d**3 - 156*d**2 + 232*d - 112.
-2*(d - 14)*(d - 2)**2*(d - 1)
Factor -3*w**2/7 - 1704*w/7 - 241968/7.
-3*(w + 284)**2/7
Solve 5*m**4 - 45*m**3 + 75*m**2 - 35*m = 0 for m.
0, 1, 7
Factor -j**4/3 - 1588*j**3/3 - 315218*j**2 - 250283092*j/3 - 24840596881/3.
-(j + 397)**4/3
Factor a