- 32/9 = 0. What is j?
-1, -8/13, -2/7
What is t in -2*t**3/5 + 96*t**2/5 - 210*t - 500 = 0?
-2, 25
Factor a**4/9 - 8*a**3/3 + 65*a**2/9 - 14*a/3.
a*(a - 21)*(a - 2)*(a - 1)/9
Factor 3*z**5/2 - 6*z**4 - 15*z**3/2.
3*z**3*(z - 5)*(z + 1)/2
Determine g, given that -5*g**5 + 10*g**4 + 50*g**3 - 100*g**2 - 45*g + 90 = 0.
-3, -1, 1, 2, 3
Let t**2 + 47*t + 246 = 0. What is t?
-41, -6
Factor a**2/3 - 56*a/3 - 19.
(a - 57)*(a + 1)/3
Suppose -6*f**3 - 770*f**2 + 516*f = 0. Calculate f.
-129, 0, 2/3
Let 2*q**2/11 + 68*q/11 + 6 = 0. What is q?
-33, -1
Find f, given that -f**3 + 8*f**2 - 13*f + 6 = 0.
1, 6
Factor -h**4 - 3*h**3 + 60*h**2 - 100*h.
-h*(h - 5)*(h - 2)*(h + 10)
Suppose 4*f**2 - 280*f + 3876 = 0. What is f?
19, 51
Find b, given that -10*b**2 + 95*b + 50 = 0.
-1/2, 10
Let 4394*s**3/3 + 10140*s**2 + 23400*s + 18000 = 0. Calculate s.
-30/13
Find s such that -2*s**3/19 + 72*s**2/19 - 378*s/19 - 5292/19 = 0.
-6, 21
Factor -g**3/4 - 11*g**2/4 + 15*g.
-g*(g - 4)*(g + 15)/4
Factor 3*u**3 + 732*u**2 + 729*u.
3*u*(u + 1)*(u + 243)
Factor -2*j**4/9 + 3032*j**3/9 - 1146092*j**2/9 - 767096*j/3 - 128018.
-2*(j - 759)**2*(j + 1)**2/9
Suppose 3*q**4 - 21*q**3 - 30*q**2 + 48*q = 0. What is q?
-2, 0, 1, 8
Factor -2*i**2 + 150*i - 432.
-2*(i - 72)*(i - 3)
Factor -3*z**4 + 48*z**3 + 162*z**2 + 168*z + 57.
-3*(z - 19)*(z + 1)**3
Factor 5*t**4 - 1360*t**3 + 9355*t**2 - 21260*t + 15900.
5*(t - 265)*(t - 3)*(t - 2)**2
Factor 2*g**4 + 72*g**3 + 714*g**2 + 1156*g.
2*g*(g + 2)*(g + 17)**2
Factor 3*o**3/4 - 3*o**2/4 - 42*o - 108.
3*(o - 9)*(o + 4)**2/4
Factor b**4/8 - 3*b**3/8 - 32*b**2 + 96*b.
b*(b - 16)*(b - 3)*(b + 16)/8
Let 3*d**5/4 - 3*d**4/2 - 9*d**3/4 + 3*d**2 + 3*d = 0. What is d?
-1, 0, 2
Factor 2*g**5/11 - 4*g**3/11 + 2*g/11.
2*g*(g - 1)**2*(g + 1)**2/11
Let -3*i**3/7 + 27*i**2/7 - 60*i/7 = 0. Calculate i.
0, 4, 5
Factor 3*q**2 + 198*q.
3*q*(q + 66)
Determine u so that -5*u**2 - 90*u - 400 = 0.
-10, -8
Factor 27*b**3 - 6*b**2.
3*b**2*(9*b - 2)
Suppose 3*t**3/2 - 57*t**2/4 + 21*t + 147/4 = 0. What is t?
-1, 7/2, 7
Find x such that 2*x**5 - 14*x**4 + 12*x**3 + 56*x**2 - 80*x = 0.
-2, 0, 2, 5
Solve -4*v**3 - 100*v**2 - 96*v = 0.
-24, -1, 0
Factor d**3 + 8*d**2 + 12*d.
d*(d + 2)*(d + 6)
Determine l, given that -5*l**2/3 - 20*l + 140/3 = 0.
-14, 2
Factor 8*f**3/7 + 38*f**2 + 1308*f/7 - 162.
2*(f + 7)*(f + 27)*(4*f - 3)/7
Factor -4*b**4 + 4*b**3 + 36*b**2 - 36*b.
-4*b*(b - 3)*(b - 1)*(b + 3)
Suppose -5*x**4 + 90*x**3 - 405*x**2 = 0. Calculate x.
0, 9
Factor -4*d**4/7 - d**3/7 + 4*d**2/7 + d/7.
-d*(d - 1)*(d + 1)*(4*d + 1)/7
Find h, given that 2*h**4 + 392*h**3 + 1546*h**2 + 1924*h + 768 = 0.
-192, -2, -1
Factor 4*f**5 + 52*f**4 - 116*f**3 + 60*f**2.
4*f**2*(f - 1)**2*(f + 15)
Factor -98*d**3 - 1848*d**2 + 8595*d/2 - 4725/2.
-(d + 21)*(14*d - 15)**2/2
Suppose 12*y**4 - 182*y**3 + 606*y**2 + 672*y - 128 = 0. Calculate y.
-1, 1/6, 8
Factor -2*t**4 - 172*t**3 - 3514*t**2 + 8272*t + 11616.
-2*(t - 3)*(t + 1)*(t + 44)**2
Solve -2*n**3/11 - 136*n**2/11 - 518*n/11 - 384/11 = 0.
-64, -3, -1
Let -2*x**3/7 + 16*x**2/7 + 88*x/7 + 96/7 = 0. Calculate x.
-2, 12
Factor 2*w**3 + 6*w**2 - 32*w + 24.
2*(w - 2)*(w - 1)*(w + 6)
Find x, given that 3*x**5/8 + 57*x**4/4 + 1287*x**3/8 + 969*x**2/2 + 867*x/2 = 0.
-17, -2, 0
Factor o**5/5 + 133*o**4/5 + 78*o**3.
o**3*(o + 3)*(o + 130)/5
What is y in -y**3 - 1075*y**2/2 - 72092*y + 72361/2 = 0?
-269, 1/2
Suppose 75*t**5 - 195*t**4 - 972*t**3 + 3444*t**2 - 2352*t = 0. Calculate t.
-4, 0, 1, 14/5
Suppose 3*r**3 + 174*r**2 + 2964*r + 12168 = 0. What is r?
-26, -6
Let 5*j**3/6 - 455*j**2 + 62560*j - 369920/3 = 0. Calculate j.
2, 272
Factor -4*s**2 + 24*s.
-4*s*(s - 6)
Factor -3*d**4 + 6*d**3 + 3*d**2 - 6*d.
-3*d*(d - 2)*(d - 1)*(d + 1)
Determine u so that 2*u**4/7 + 2742*u**3/7 + 1253094*u**2/7 + 190887986*u/7 = 0.
-457, 0
Factor 4*i**3/5 - 4*i/5.
4*i*(i - 1)*(i + 1)/5
Suppose 5*d**2 - 1390*d + 96605 = 0. What is d?
139
What is r in 2*r**5/3 - 4*r**4/3 - 2*r**3 + 8*r**2/3 + 8*r/3 = 0?
-1, 0, 2
Let y**4/4 + 145*y**3 + 41759*y**2/2 - 42195*y + 84681/4 = 0. Calculate y.
-291, 1
Solve d**2/8 - 7*d + 27/2 = 0.
2, 54
Factor 2*k**2/13 + 244*k/13 - 246/13.
2*(k - 1)*(k + 123)/13
Suppose 5*j**4/4 + 1645*j**3/2 + 180675*j**2 + 26618355*j/2 + 52517295/4 = 0. What is j?
-219, -1
Find v, given that 2*v**4 + 10*v**3 + 4*v**2 - 16*v = 0.
-4, -2, 0, 1
Factor x**4 - 9*x**3 - x**2 + 105*x.
x*(x - 7)*(x - 5)*(x + 3)
Determine v, given that 3*v**2 + 249*v + 3780 = 0.
-63, -20
Factor 20*u**2 - 865*u + 215.
5*(u - 43)*(4*u - 1)
Find n, given that -3*n**5/5 + 12*n**4/5 + 111*n**3/5 + 204*n**2/5 + 108*n/5 = 0.
-2, -1, 0, 9
Solve -3*m**5/2 + 48*m**4 - 135*m**3 + 132*m**2 - 87*m/2 = 0.
0, 1, 29
Suppose 5*d**4 + 900*d**3 + 1780*d**2 = 0. Calculate d.
-178, -2, 0
Factor f**4 + 37*f**3 - 202*f**2 + 332*f - 168.
(f - 2)**2*(f - 1)*(f + 42)
Factor 2*t**3 - 10*t**2 + 4*t + 16.
2*(t - 4)*(t - 2)*(t + 1)
Let 2*k**3/9 + 2*k**2/9 - 130*k/9 + 14 = 0. Calculate k.
-9, 1, 7
Let 4*s**3 - 12*s**2 - 64*s - 48 = 0. What is s?
-2, -1, 6
Factor 4*r**4/7 + 240*r**3/7 + 3828*r**2/7 + 6728*r/7.
4*r*(r + 2)*(r + 29)**2/7
What is j in -2*j**3/3 + 64*j**2 + 130*j + 196/3 = 0?
-1, 98
Factor 2*k**2/11 - 2342*k/11.
2*k*(k - 1171)/11
Solve -3*b**3/5 - 11*b**2/5 - 8*b/5 + 4/5 = 0.
-2, 1/3
Factor 5*b**2 - 180*b + 1600.
5*(b - 20)*(b - 16)
Determine n so that -2*n**3 - 18*n**2 + 204*n - 320 = 0.
-16, 2, 5
Factor -2*o**2/11 + 878*o/11.
-2*o*(o - 439)/11
Factor -3*w**2/5 - 2782*w/5 + 1856/5.
-(w + 928)*(3*w - 2)/5
Find k such that -4*k**4/3 + 4*k**3/3 + 216*k**2 - 2512*k/3 + 2464/3 = 0.
-14, 2, 11
Factor -5*z**3 - 505*z**2 - 500*z.
-5*z*(z + 1)*(z + 100)
Let 5*o**3 + 10*o**2 - 55*o - 60 = 0. What is o?
-4, -1, 3
Factor -8*t**2/5 + 22*t - 78/5.
-2*(t - 13)*(4*t - 3)/5
Factor -r**5 - 4*r**4 + r**3 + 4*r**2.
-r**2*(r - 1)*(r + 1)*(r + 4)
Determine y so that -588*y**5 + 896*y**4 + 676*y**3 - 184*y**2 - 96*y = 0.
-4/7, -1/3, 0, 3/7, 2
Determine r so that 30*r**4 + 146*r**3 + 158*r**2 - 34*r - 12 = 0.
-3, -2, -1/5, 1/3
Suppose j**5 - 53*j**4 + 880*j**3 - 4248*j**2 - 4752*j + 52272 = 0. Calculate j.
-3, 6, 22
Suppose 4*w**5 + 2*w**4/3 - 2*w**3/9 = 0. What is w?
-1/3, 0, 1/6
What is q in -3*q**5/8 - 33*q**4/8 - 63*q**3/4 - 24*q**2 - 12*q = 0?
-4, -2, -1, 0
Factor f**2/3 + 284*f + 851/3.
(f + 1)*(f + 851)/3
Factor -f**2/2 + 2765*f - 7645225/2.
-(f - 2765)**2/2
Suppose -3*f**3 - 171*f**2 + 723*f - 549 = 0. What is f?
-61, 1, 3
Factor -2*g**2/15 + 328*g/15 + 448/5.
-2*(g - 168)*(g + 4)/15
Factor -108*i**2/7 + 4544*i/7 - 48.
-4*(i - 42)*(27*i - 2)/7
Suppose -2*s**4/5 + 156*s**3/5 + 352*s**2 = 0. What is s?
-10, 0, 88
Suppose 5*w**4 + 30*w**3 - 205*w**2 - 30*w + 200 = 0. What is w?
-10, -1, 1, 4
Find h such that -h**5/2 + 9*h**4/2 - 27*h**3/2 + 23*h**2/2 + 12*h - 18 = 0.
-1, 2, 3
Factor 20*o**3/3 + 58*o**2/3 - 2*o.
2*o*(o + 3)*(10*o - 1)/3
Solve -l**4/7 - l**3/7 + l**2 + l/7 - 6/7 = 0 for l.
-3, -1, 1, 2
Factor 21*u**4/5 - 174*u**3/5 + 384*u**2/5 - 96*u/5.
3*u*(u - 4)**2*(7*u - 2)/5
Suppose -b**5 + 6*b**4 - 5*b**3 - 20*b**2 + 36*b - 16 = 0. Calculate b.
-2, 1, 2, 4
Factor x**4 + 103*x**3 + 203*x**2 + 101*x.
x*(x + 1)**2*(x + 101)
Suppose -2*b**2/11 + 54*b + 596/11 = 0. Calculate b.
-1, 298
Let 8*a**2/5 + 138*a/5 + 26 = 0. What is a?
-65/4, -1
Factor 2*a**3/7 - 3068*a**2/7 + 1176578*a/7.
2*a*(a - 767)**2/7
Factor 3*k**2/5 - 67*k/5 + 22/5.
(k - 22)*(3*k - 1)/5
Let 7*z**3/3 + 40*z**2/3 + 44*z/3 - 16/3 = 0. What is z?
-4, -2, 2/7
Determine y, given that 18*y**3/7 - 3585*y**2/7 - 429*y + 600/7 = 0.
-1, 1/6, 200
Factor -12*d**2 - 291*d.
-3*d*(4*d + 97)
What is y in 2*y**3/7 - 202*y**2 + 249216*y/7 + 250632/7 = 0?
-1, 354
Suppose h**3/4 - 91*h**2/4 - 343*h/2 = 0. What is h?
-7, 0, 98
Let 5*u**2 + 280*u - 885 = 0. What is u?
-59, 3
Determine t, given that -5*t**4 - 40*t**3 + 120*t**2 + 160*t - 400 = 0.
-10, -2, 2
Factor 5*i**5 + 100*i**4 + 95*i**3.
5*i**3*(i + 1)*(i + 19)
Find c such that -2*c**5/3 + 2*c**4/3 + 22*c**3/3 + 14*c**2/3 - 20*c/3 - 16/3 = 0.
-2, -1, 1, 4
Suppose 6*r**3/7 + 46*r**2/7 - 1160*r/7 - 792/7 = 0. What is r?
-18, -2/3, 11
Solve -3*c**2/5 + 324*c - 1617/5 = 0.
1, 539
Factor -g**3/5 + 43*g**2/5 + 236*g/5 + 192/5.
-(g - 48)*(g + 1)*(g + 4)/5
Solve -4*n**2 - 132*n = 0 for n.
-33, 0
Solve 2*t**3 + 370*t**2