+ 4)*(7*l + 30)/2
Determine n so that 4*n**5 + 16*n**4 + 12*n**3 - 16*n**2 - 16*n = 0.
-2, -1, 0, 1
Determine d so that d**4 + 2*d**3 - 7*d**2 + 4*d = 0.
-4, 0, 1
Find v, given that 2*v**5/9 + 8*v**4/9 - 10*v**3/9 = 0.
-5, 0, 1
Factor -8*q**3 + 38*q**2 - 38*q - 12.
-2*(q - 3)*(q - 2)*(4*q + 1)
Factor -2*y**2 + 1640*y - 336200.
-2*(y - 410)**2
Let -2*f**4/11 - 2*f**3 + 6*f**2 + 190*f/11 + 104/11 = 0. What is f?
-13, -1, 4
Factor -3*m**2 - 558*m - 25947.
-3*(m + 93)**2
What is o in -21*o**2/5 + 3006*o/5 - 429/5 = 0?
1/7, 143
Find v, given that -4*v**4 - 28*v**3 + 12*v**2 + 252*v + 216 = 0.
-6, -3, -1, 3
Factor -n**5 + 61*n**4 - 1260*n**3 + 9200*n**2 - 8000*n.
-n*(n - 20)**3*(n - 1)
Factor -3*f**2/5 - 39*f/5 + 42/5.
-3*(f - 1)*(f + 14)/5
Suppose -5*f**5/3 + 182*f**4/9 - 263*f**3/3 + 158*f**2 - 896*f/9 + 32/3 = 0. Calculate f.
2/15, 1, 3, 4
Suppose -g**4 - 9*g**3 + 71*g**2 + 9*g - 70 = 0. Calculate g.
-14, -1, 1, 5
Find r, given that 4*r**3 + 36*r**2 + 96*r + 80 = 0.
-5, -2
Factor -5*p**3/4 - 9*p**2/4 + p/2.
-p*(p + 2)*(5*p - 1)/4
Suppose -245*c**5 + 3045*c**4 - 9960*c**3 + 2360*c**2 + 4080*c + 720 = 0. Calculate c.
-2/7, 1, 6
Solve 2*a**4/11 + 16*a**3/11 + 38*a**2/11 + 24*a/11 = 0 for a.
-4, -3, -1, 0
Determine m, given that 5*m**4 + 35*m**3 - 155*m**2 - 35*m + 150 = 0.
-10, -1, 1, 3
What is z in 15*z**5 - 275*z**4 + 335*z**3 + 95*z**2 - 170*z = 0?
-2/3, 0, 1, 17
Solve -3*i**3/4 + 105*i**2/4 - 51*i/2 = 0.
0, 1, 34
Find i such that 3*i**5 + 51*i**4 + 90*i**3 - 6*i**2 - 93*i - 45 = 0.
-15, -1, 1
Factor 3*u**3/2 - 21*u**2 - 465*u/2 + 252.
3*(u - 21)*(u - 1)*(u + 8)/2
Factor 2*u**2/5 + 130*u + 3828/5.
2*(u + 6)*(u + 319)/5
Suppose -3*s**2 + 5034*s - 2111763 = 0. Calculate s.
839
Factor 2*l**4 - 24*l**3 + 64*l**2 + 96*l - 288.
2*(l - 6)**2*(l - 2)*(l + 2)
Determine g, given that g**2/4 + 23*g/4 + 15 = 0.
-20, -3
Solve -5*t**4/2 + 39*t**3/4 - 23*t**2/4 - 15*t/4 + 9/4 = 0.
-3/5, 1/2, 1, 3
Factor 5*d**5 + 45*d**4 - 110*d**3 + 10*d**2 + 105*d - 55.
5*(d - 1)**3*(d + 1)*(d + 11)
Suppose 2*a**2/23 + 18*a/23 - 44/23 = 0. What is a?
-11, 2
Suppose 2*j**3/3 + 56*j**2/3 - 2*j/3 - 56/3 = 0. Calculate j.
-28, -1, 1
Suppose c**4 - 640*c**3 + 102400*c**2 = 0. Calculate c.
0, 320
Factor 2*n**4 - 18*n**3 + 54*n**2 - 62*n + 24.
2*(n - 4)*(n - 3)*(n - 1)**2
Factor -d**4/3 + d**3.
-d**3*(d - 3)/3
Let q**4/4 - 11*q**3/4 - 3*q**2/4 + 31*q/4 + 11/2 = 0. What is q?
-1, 2, 11
Determine b, given that 5*b**5 + 45*b**4 - 75*b**3 - 805*b**2 + 1470*b = 0.
-7, 0, 2, 3
Factor 22*g**2/3 - 38*g/5 + 4/15.
2*(g - 1)*(55*g - 2)/15
Factor -4*x**2/7 - 592*x/7 - 21904/7.
-4*(x + 74)**2/7
Factor -178084*b**4 - 178928*b**3 - 845*b**2 - b.
-b*(b + 1)*(422*b + 1)**2
Determine p so that 4*p**2/5 - 172*p/5 = 0.
0, 43
Solve 2*p**5 + 776*p**4/3 + 27662*p**3/3 + 159820*p**2/3 - 119072*p/3 = 0.
-61, -8, 0, 2/3
Find o, given that 4*o**4 - 4*o**3 - 12*o**2 + 20*o - 8 = 0.
-2, 1
Factor r**2/4 + 39*r/2 - 79/4.
(r - 1)*(r + 79)/4
Solve -3*p**5 + 138*p**4 + 921*p**3 + 780*p**2 = 0 for p.
-5, -1, 0, 52
Factor 3*w**2 - 390*w + 2928.
3*(w - 122)*(w - 8)
Let 12*h**4/7 + 4*h**3 - 24*h**2/7 = 0. What is h?
-3, 0, 2/3
Suppose -5*x**5 - 50*x**4 - 105*x**3 = 0. Calculate x.
-7, -3, 0
Let p**2 - 151*p/3 + 50/3 = 0. Calculate p.
1/3, 50
Factor -s**4/3 + s**3/3 + s**2 - s/3 - 2/3.
-(s - 2)*(s - 1)*(s + 1)**2/3
Determine r so that -2*r**4/9 + 76*r**3/9 - 16*r**2 = 0.
0, 2, 36
Factor -6*q**5 - 57*q**4 - 963*q**3/8 + 285*q**2/4 - 75*q/8.
-3*q*(q + 5)**2*(4*q - 1)**2/8
Factor -2*l**2/5 - 4034*l/5 + 4036/5.
-2*(l - 1)*(l + 2018)/5
Factor -4*o**3 + 504*o**2 + 516*o - 1016.
-4*(o - 127)*(o - 1)*(o + 2)
Determine a, given that -2*a**4 + 2080*a**3 = 0.
0, 1040
Factor -5*s**4 - 35*s**3 - 55*s**2 - 25*s.
-5*s*(s + 1)**2*(s + 5)
Factor -3*l**2 - 504*l - 21168.
-3*(l + 84)**2
Factor -2916*y**4 + 135108*y**3 + 90936*y**2 + 20272*y + 1504.
-4*(y - 47)*(9*y + 2)**3
Factor -3*l**2 - 138*l + 765.
-3*(l - 5)*(l + 51)
Let 2*l**5/7 - 6*l**4/7 + 2*l**3/7 + 6*l**2/7 - 4*l/7 = 0. What is l?
-1, 0, 1, 2
Determine n so that -22*n**4 - 661*n**3 - 4254*n**2 + 11072*n + 512 = 0.
-16, -1/22, 2
Factor 3*t**2/8 - 153*t/4 - 243.
3*(t - 108)*(t + 6)/8
Suppose 4*u**5/7 - 3*u**4/7 - 12*u**3/7 + 17*u**2/7 - 6*u/7 = 0. What is u?
-2, 0, 3/4, 1
Suppose 3*b**2 - 10866*b + 9839163 = 0. Calculate b.
1811
Suppose r**3/3 + 97*r**2/3 + 1771*r/3 + 3025 = 0. What is r?
-75, -11
Factor 5*g**2 - 980.
5*(g - 14)*(g + 14)
Factor t**4/4 - 11*t**3/2 + 61*t**2/4 + 48*t + 27.
(t - 18)*(t - 6)*(t + 1)**2/4
Factor j**4 - 7*j**3 - 27*j**2 - 29*j - 10.
(j - 10)*(j + 1)**3
Factor b**4 + 5*b**3 - 6*b**2 - 32*b + 32.
(b - 2)*(b - 1)*(b + 4)**2
What is u in 2*u**4/3 - 64*u**3/3 + 112*u**2/3 + 256*u/3 - 160 = 0?
-2, 2, 30
Let -5*r**4 - 40*r**3 - 30*r**2 + 360*r + 675 = 0. What is r?
-5, -3, 3
Factor -2*n**3/17 - 414*n**2/17 + 3408*n/17 - 6880/17.
-2*(n - 4)**2*(n + 215)/17
Factor 5*n**2 + 25*n - 180.
5*(n - 4)*(n + 9)
Solve 5*y**5 + 610*y**4 - 2510*y**3 + 1280*y**2 + 2505*y - 1890 = 0.
-126, -1, 1, 3
Factor -3*d**3/7 - 9*d**2/7 - 6*d/7.
-3*d*(d + 1)*(d + 2)/7
Let 25*n**5 - 590*n**4 + 3361*n**3 + 1416*n**2 + 144*n = 0. Calculate n.
-1/5, 0, 12
Factor 3*k**3 - 240*k**2 + 237*k.
3*k*(k - 79)*(k - 1)
Let -4*n**4 + 9824*n**3 - 9047904*n**2 + 3703608704*n - 568503936064 = 0. Calculate n.
614
Find o, given that 4*o**2 - 36*o = 0.
0, 9
Find t such that -2*t**5/15 - 16*t**4/15 - 8*t**3/3 - 32*t**2/15 = 0.
-4, -2, 0
What is f in -3*f**2 - 39*f - 126 = 0?
-7, -6
Let 3*s**5/2 - 5637*s**4/2 + 1319757*s**3 + 3976197*s**2 + 7963683*s/2 + 2656443/2 = 0. What is s?
-1, 941
Solve -2*w**2/3 - 100*w/3 + 106 = 0.
-53, 3
Let 4*i**2 - 456*i - 1404 = 0. What is i?
-3, 117
Factor -512*m**3/19 - 576*m**2/19 - 66*m/19 - 2/19.
-2*(m + 1)*(16*m + 1)**2/19
Factor 4*k**2 + 292*k - 912.
4*(k - 3)*(k + 76)
Factor -3*f**2 - 96*f - 621.
-3*(f + 9)*(f + 23)
Let r**4/5 + r**3/5 - 7*r**2/5 - r/5 + 6/5 = 0. What is r?
-3, -1, 1, 2
Solve -3*x**4/5 + 42*x**3/5 - 171*x**2/5 + 24*x + 336/5 = 0.
-1, 4, 7
Factor -2*q**3/5 - 72*q**2 - 15456*q/5 + 67712/5.
-2*(q - 4)*(q + 92)**2/5
Factor -2*x**2/3 + 2*x/3 + 20.
-2*(x - 6)*(x + 5)/3
Factor 2*v**3 - 260*v**2 + 7906*v + 35912.
2*(v - 67)**2*(v + 4)
Determine x, given that 4*x**2/5 - 132*x/5 - 344 = 0.
-10, 43
Let 4*a**4 - 52*a**3 - 4*a**2 + 52*a = 0. What is a?
-1, 0, 1, 13
Factor 2*u**5/13 - 20*u**4/13 + 34*u**3/13 - 16*u**2/13.
2*u**2*(u - 8)*(u - 1)**2/13
Let -t**5 + t**4 + 3*t**3 - t**2 - 2*t = 0. Calculate t.
-1, 0, 1, 2
Let 5*a**4 - 35*a**3 - 20*a**2 + 260*a + 240 = 0. Calculate a.
-2, -1, 4, 6
Determine n so that -n**2 - 34*n + 1155 = 0.
-55, 21
Factor -2*v**3/3 - 142*v**2/3 - 92*v.
-2*v*(v + 2)*(v + 69)/3
Factor 2*f**4/3 + 128*f**3/3 + 370*f**2/3 + 244*f/3.
2*f*(f + 1)*(f + 2)*(f + 61)/3
Determine r, given that -14*r**5/15 - 64*r**4/5 - 238*r**3/15 + 196*r**2/5 - 48*r/5 = 0.
-12, -3, 0, 2/7, 1
Let -25*x**4/2 + 205*x**3/2 - 137*x**2 - 162*x - 36 = 0. What is x?
-2/5, 3, 6
Factor 5*d**2 + 1115*d - 1120.
5*(d - 1)*(d + 224)
Factor -2*m**4/9 + 28*m**3/9 - 64*m**2/9 - 256*m/9.
-2*m*(m - 8)**2*(m + 2)/9
Solve -2*y**4 + 1362*y**3/7 - 31188*y**2/7 - 96200*y/7 + 30000/7 = 0.
-3, 2/7, 50
Determine b, given that -b**5/4 - 7*b**4/4 - 3*b**3 = 0.
-4, -3, 0
Factor 36980*q**5 + 44720*q**4 + 8145*q**3 + 405*q**2.
5*q**2*(q + 1)*(86*q + 9)**2
Factor -4*i**4 + 68*i**3 - 124*i**2 + 60*i.
-4*i*(i - 15)*(i - 1)**2
Factor -286*i**2 - 60*i + 16.
-2*(11*i + 4)*(13*i - 2)
What is b in 64*b**4/3 - 16*b**3/3 - 364*b**2 + 2597*b/3 - 1715/3 = 0?
-5, 7/4
Let -4*g**5/7 - 10*g**4/7 + 150*g**3/7 - 200*g**2/7 + 64*g/7 = 0. Calculate g.
-8, 0, 1/2, 1, 4
Factor 4*y**2 - 4*y - 120.
4*(y - 6)*(y + 5)
Suppose -f**5/3 - 43*f**4/3 - 440*f**3/3 + 484*f**2/3 = 0. Calculate f.
-22, 0, 1
Solve -57*k**4/2 + 105*k**3/4 + 237*k**2/4 + 9*k/2 = 0 for k.
-1, -3/38, 0, 2
Let 21*k**3 + 432*k**2 + 1692*k/7 + 240/7 = 0. What is k?
-20, -2/7
Factor -867*y**4/2 + 4437*y**3 - 23727*y**2/2 + 2610*y - 150.
-3*(y - 5)**2*(17*y - 2)**2/2
Factor -8*n**4/9 - 14*n**3/9 + 4*n**2/9.
-2*n**2*(n + 2)*(4*n - 1)/9
What is r in -3*r**3 - 33*r**2 - 24*r + 60 = 0?
-10, -2, 1
Factor 5*x**5/4 - 35*x**4/4 - 285*x**3.
5*x**3*(x - 19)*(x + 12)/4
Let -3*t**2/4 + 9*t/2 - 27/4 = 0. Calculate t.
3
Factor -4*o**5/3 - 4*o**4 - 4*o**3 - 4*o**2/3.
-4*