4*x**2 - 48*x.
-x*(x - 8)*(x - 6)*(x + 1)
Factor 4*a**2/7 - 540*a/7 + 536/7.
4*(a - 134)*(a - 1)/7
Suppose 2*c**4 + 102*c**3/7 + 16*c**2 + 24*c/7 = 0. What is c?
-6, -1, -2/7, 0
Factor j**3/3 - 10*j**2/3 - 32*j/3 + 32.
(j - 12)*(j - 2)*(j + 4)/3
Suppose 5*f**5 + 160*f**4 + 575*f**3 + 420*f**2 = 0. What is f?
-28, -3, -1, 0
Factor 2*a**3/5 - 2*a**2/5 - 18*a/5 + 18/5.
2*(a - 3)*(a - 1)*(a + 3)/5
Factor 142884*k**2 - 1512*k + 4.
4*(189*k - 1)**2
Factor 26*l**3 + 87*l**2/2 + 16*l - 3/2.
(l + 1)*(4*l + 3)*(13*l - 1)/2
Factor 4*t**4 - 36*t**2.
4*t**2*(t - 3)*(t + 3)
Find r such that 13068*r**5 + 69102*r**4 + 73572*r**3 + 25592*r**2 + 2352*r + 64 = 0.
-4, -2/3, -1/2, -2/33
Let 4*w**4/5 + 744*w**3/5 - 300*w**2 + 752*w/5 = 0. What is w?
-188, 0, 1
Factor q**2 - 53*q.
q*(q - 53)
Factor -2*f**3/3 - 6*f**2 - 16*f/3.
-2*f*(f + 1)*(f + 8)/3
Factor 20*f**3 + 1740*f**2 + 8325*f + 10250.
5*(f + 82)*(2*f + 5)**2
Factor 363*c**5/4 - 231*c**4/4 - 30*c**3 - 3*c**2.
3*c**2*(c - 1)*(11*c + 2)**2/4
Factor -4*w**2/3 + 176*w/3 - 112.
-4*(w - 42)*(w - 2)/3
Solve -15*k**3 + 520*k**2 + 740*k - 720 = 0 for k.
-2, 2/3, 36
Solve -27*p**2/4 + 309*p/4 - 33 = 0.
4/9, 11
Factor -4*u**2/3 + 7*u/2 + 3/2.
-(u - 3)*(8*u + 3)/6
Factor q**3/3 + 18*q**2 + 17*q - 106/3.
(q - 1)*(q + 2)*(q + 53)/3
Determine j so that -3*j**3/4 + 3*j**2/4 + 9*j/2 = 0.
-2, 0, 3
Suppose -2*h**3/11 - 108*h**2/11 - 1560*h/11 - 2704/11 = 0. Calculate h.
-26, -2
Suppose -16*i**2 + 28*i + 8 = 0. Calculate i.
-1/4, 2
Determine o, given that -3*o**5 - 159*o**4 - 2313*o**3 - 5025*o**2 + 7500*o = 0.
-25, -4, 0, 1
Factor 5*n**3 - 100*n**2 + 165*n + 270.
5*(n - 18)*(n - 3)*(n + 1)
Determine b so that 5*b**4 + 90*b**3 + 485*b**2 + 720*b + 320 = 0.
-8, -1
Solve 2*q**5 - 8*q**3 + 4*q**2 + 6*q - 4 = 0.
-2, -1, 1
Factor 5*f**2 - 70*f - 160.
5*(f - 16)*(f + 2)
Suppose c**4 + 52*c**3/3 - 73*c**2 + 248*c/3 - 28 = 0. Calculate c.
-21, 2/3, 1, 2
Find j, given that -j**3/12 - 73*j**2/2 + 1327*j/12 + 147 = 0.
-441, -1, 4
Factor -2*w**2/7 + 30*w/7 - 100/7.
-2*(w - 10)*(w - 5)/7
Let -j**4 - 265*j**3 - 264*j**2 = 0. What is j?
-264, -1, 0
What is t in 3*t**5 + 24*t**4 + 18*t**3 - 24*t**2 - 21*t = 0?
-7, -1, 0, 1
Factor 3*z**2 + 552*z.
3*z*(z + 184)
Factor -16*n**5 + 60*n**4 - 84*n**3 + 52*n**2 - 12*n.
-4*n*(n - 1)**3*(4*n - 3)
Solve 16*x**4 + 60*x**3 - 1056*x**2 + 2372*x - 528 = 0.
-11, 1/4, 3, 4
Determine m, given that -m**2 - 460*m = 0.
-460, 0
Suppose -2*f**2/3 - 136*f/3 - 418 = 0. Calculate f.
-57, -11
Factor 3*i**2 + 18*i - 81.
3*(i - 3)*(i + 9)
Factor -45*h**3 + 36930*h**2 + 49300*h + 16440.
-5*(h - 822)*(3*h + 2)**2
Solve -10*v**4/7 - 59*v**3/7 - 88*v**2/7 - 39*v/7 = 0 for v.
-39/10, -1, 0
Factor 3*s**5 - 33*s**4 + 99*s**3 - 15*s**2 - 150*s.
3*s*(s - 5)**2*(s - 2)*(s + 1)
Suppose -2*q**3 + 34*q**2 + 352*q - 384 = 0. Calculate q.
-8, 1, 24
Determine z so that 2*z**2/13 - 454*z/13 + 452/13 = 0.
1, 226
Factor -x**2 - 3*x - 2.
-(x + 1)*(x + 2)
Factor -3*i**2/8 + 195*i/4 - 12675/8.
-3*(i - 65)**2/8
Factor w**3/4 - 61*w**2 - 491*w/4 - 123/2.
(w - 246)*(w + 1)**2/4
Factor 27*g**5/2 - 163*g**4/3 + 247*g**3/3 - 56*g**2 + 89*g/6 - 1/3.
(g - 1)**4*(81*g - 2)/6
Factor v**3 + 66*v**2 + 261*v/4 + 65/4.
(v + 65)*(2*v + 1)**2/4
Factor 4*y**4 - 52*y**3 - 116*y**2 - 60*y.
4*y*(y - 15)*(y + 1)**2
Determine x so that 52*x**5 - 36*x**4 - 16*x**3 = 0.
-4/13, 0, 1
Factor n**4 + 14*n**3 + 61*n**2 + 84*n + 36.
(n + 1)**2*(n + 6)**2
Factor 2*i**3/15 - 22*i**2/15 + 16*i/15 + 8/3.
2*(i - 10)*(i - 2)*(i + 1)/15
What is q in q**2 + 57*q = 0?
-57, 0
What is z in 3*z**3 + 126*z**2 - 399*z + 270 = 0?
-45, 1, 2
What is l in -l**4/2 + 82*l**3 - 5043*l**2 + 137842*l - 2825761/2 = 0?
41
Factor 25*u**4 + 165*u**3 - 270*u**2 + 80*u.
5*u*(u - 1)*(u + 8)*(5*u - 2)
Factor -4*n**4 + 16*n**3 + 12*n**2 - 56*n + 32.
-4*(n - 4)*(n - 1)**2*(n + 2)
Factor 5*a**2 - 30*a + 25.
5*(a - 5)*(a - 1)
Factor -4*k**3/9 - 128*k**2/9 - 788*k/9 + 920/9.
-4*(k - 1)*(k + 10)*(k + 23)/9
Factor -2*a**3/7 - 51*a**2/7 - 310*a/7 - 51.
-(a + 7)*(a + 17)*(2*a + 3)/7
Let 220*w**4 - 29465*w**3 - 31720*w**2 - 685*w + 1350 = 0. What is w?
-1, -1/4, 2/11, 135
Let 2*d**3/9 + 148*d**2/9 + 146*d/9 = 0. What is d?
-73, -1, 0
Find w such that -2*w**4/19 + 1510*w**3/19 + 3030*w**2/19 - 1510*w/19 - 3028/19 = 0.
-2, -1, 1, 757
What is q in 2*q**5/5 - 254*q**4/5 + 10022*q**3/5 - 17874*q**2 - 252720*q - 583200 = 0?
-4, 45
Factor -l**2/3 + 80*l/3 - 148.
-(l - 74)*(l - 6)/3
Factor -r**3/6 - 7*r**2/2 - 3*r + 20/3.
-(r - 1)*(r + 2)*(r + 20)/6
Solve -c**2/7 - 7522*c/7 - 14145121/7 = 0.
-3761
Factor -3*j**4 + 90*j**3 - 252*j**2 + 246*j - 81.
-3*(j - 27)*(j - 1)**3
Let 3*s**4/4 + 15*s**3 - 99*s**2/2 + 51*s - 69/4 = 0. Calculate s.
-23, 1
Find f such that 8*f**5/5 - 56*f**4/5 - 126*f**3/5 + 684*f**2/5 + 1944*f/5 + 1296/5 = 0.
-2, -3/2, 6
Factor 4*t**3/5 - 8*t**2/5 - 32*t/5.
4*t*(t - 4)*(t + 2)/5
Determine s so that 6*s**4/19 + 124*s**3/19 + 578*s**2/19 - 292*s/19 - 416/19 = 0.
-13, -8, -2/3, 1
Solve -5*r**3 - 15*r**2 + 110*r + 120 = 0 for r.
-6, -1, 4
Factor -2*m**3/17 + 4*m**2.
-2*m**2*(m - 34)/17
Find n such that n**4 - 2*n**3 - 12*n**2 + 18*n + 27 = 0.
-3, -1, 3
Let -4*g**4 + 56*g**3 + 288*g**2 = 0. Calculate g.
-4, 0, 18
What is w in 18*w**4 - 310*w**3 + 1202*w**2 + 1206*w - 324 = 0?
-1, 2/9, 9
Factor -l**4 - 13*l**3 + 125*l**2 - 291*l + 180.
-(l - 3)**2*(l - 1)*(l + 20)
Find o such that -2*o**2/9 - 20*o/3 + 128/9 = 0.
-32, 2
Factor -i**4 + 35*i**3 - 352*i**2 + 768*i.
-i*(i - 16)**2*(i - 3)
Factor 2*h**2/7 - 354*h/7 + 2052/7.
2*(h - 171)*(h - 6)/7
What is c in -c**5 + 91*c**4 + 185*c**3 + 93*c**2 = 0?
-1, 0, 93
Factor -2*g**3/3 + 20*g**2/3 - 26*g/3 - 16.
-2*(g - 8)*(g - 3)*(g + 1)/3
Determine i, given that i**5/4 - 2*i**4 - 5*i**3 - i**2/2 + 19*i/4 + 5/2 = 0.
-1, 1, 10
Suppose -l**5 - 3*l**4 + 13*l**3 + 51*l**2 + 36*l = 0. Calculate l.
-3, -1, 0, 4
Let 3*m**2 + 3318*m - 6648 = 0. Calculate m.
-1108, 2
Find x such that -49*x**4/2 + 74270*x**3 - 56264826*x**2 - 32169520*x - 4596512 = 0.
-2/7, 1516
Factor 675*j**3 + 288*j**2 - 33*j - 18.
3*(3*j + 1)**2*(25*j - 6)
Factor d**2/2 + 13*d/2 + 11.
(d + 2)*(d + 11)/2
Let -3*n**5 + 15*n**4 - 12*n**3 = 0. Calculate n.
0, 1, 4
Factor 3*r**4 + 42*r**3 + 105*r**2 + 66*r.
3*r*(r + 1)*(r + 2)*(r + 11)
Suppose -2*u**4/9 - 70*u**3/9 + 310*u**2/9 - 10*u - 52 = 0. What is u?
-39, -1, 2, 3
Solve y**3 - 7*y**2 - 34*y + 40 = 0 for y.
-4, 1, 10
Determine q, given that 8*q**5 - 60*q**4 - 207*q**3/2 - 40*q**2 - 9*q/2 = 0.
-1, -1/4, 0, 9
Factor p**3/2 + 13*p**2 + 71*p/2 + 23.
(p + 1)*(p + 2)*(p + 23)/2
Factor 4*b**2 + 8208*b + 4210704.
4*(b + 1026)**2
Factor 81*l**5 + 567*l**4 + 1242*l**3 + 894*l**2 + 261*l + 27.
3*(l + 3)**2*(3*l + 1)**3
Factor 101*h**2 - 1012*h + 20.
(h - 10)*(101*h - 2)
Determine f so that -f**2 + 3*f/4 + 1/4 = 0.
-1/4, 1
Factor r**2 - 936*r + 219024.
(r - 468)**2
Factor 5*x**2 + 20*x.
5*x*(x + 4)
Suppose 2*k**3/15 - 18*k**2/5 + 52*k/15 = 0. What is k?
0, 1, 26
Factor 3*s**3 - 24*s**2.
3*s**2*(s - 8)
Factor -k**4/4 + 19*k**3/4 - 99*k**2/4 + 81*k/4.
-k*(k - 9)**2*(k - 1)/4
Factor -2*z**2/11 - 34*z/11 + 276/11.
-2*(z - 6)*(z + 23)/11
Solve 5*g**4 - 5*g**3 - 80*g**2 + 80*g = 0 for g.
-4, 0, 1, 4
Factor 4*a**3 - 36*a**2 - 192*a - 208.
4*(a - 13)*(a + 2)**2
Let -h**3 + 455*h**2 - 51983*h + 51529 = 0. What is h?
1, 227
Factor -z**2/3 - 68*z/3.
-z*(z + 68)/3
Determine f so that 3*f**4/7 + 115*f**3/7 + 1119*f**2/7 + 285*f/7 - 722/7 = 0.
-19, -1, 2/3
Determine a so that 3*a**5/4 + 9*a**4/2 - 111*a**3/4 + 51*a**2/2 + 27*a - 30 = 0.
-10, -1, 1, 2
Factor 3*i**3 - 33*i**2 - 12*i + 132.
3*(i - 11)*(i - 2)*(i + 2)
Find s, given that -s**2/6 + 421*s/3 - 177241/6 = 0.
421
Determine f so that -3*f**2 + 36*f - 33 = 0.
1, 11
Factor 3*q**2/2 - 1533*q/2.
3*q*(q - 511)/2
Suppose t**3/4 + 25*t**2/4 - 53*t/4 + 27/4 = 0. Calculate t.
-27, 1
Find i such that -i**2/4 - 7*i/4 - 3 = 0.
-4, -3
Solve 20*m**4/3 + 1936*m**3/9 + 11312*m**2/9 - 8320*m - 2304 = 0 for m.
-18, -4/15, 4
Solve -b**5/2 + 103*b**4/2 - 399*b**3/2 + 297*b**2/2 = 0 for b.
0, 1, 3, 99
Factor -2*k**3/3 - 26*k**2/3 - 20*k/3 + 16.
-2*(k - 1)*(k + 2)*(k + 12)/3
Factor -w**5/4 + 59*w**4/4 - 1197*w**3/4 + 9025*w**2/4 - 6859*w/2.
-w*(w - 19)**3*(w - 2)/4
What is m in 2*m**4 - 200*m**3 + 182*m**2 + 1608*m - 2376 = 0?
-3, 2, 99
Factor -y*