 15
Let 4*v**5 - 8*v**4 - 52*v**3 + 152*v**2 - 96*v = 0. Calculate v.
-4, 0, 1, 2, 3
Factor -b**2/2 - 1653*b/2.
-b*(b + 1653)/2
Let -3*r**2 - 36*r - 108 = 0. What is r?
-6
Factor p**4/3 - 236*p**3/3.
p**3*(p - 236)/3
Factor -o**3/8 + 183*o**2/8 - 90*o + 179/2.
-(o - 179)*(o - 2)**2/8
Factor -3*n**2 - 87*n + 756.
-3*(n - 7)*(n + 36)
Factor -3*c**2 + 57*c + 198.
-3*(c - 22)*(c + 3)
Factor 4*f**3 - 1232*f**2 + 4880*f - 4864.
4*(f - 304)*(f - 2)**2
Factor 2*f**4/3 - 2*f**3 + 2*f**2 - 2*f/3.
2*f*(f - 1)**3/3
Factor -w**4/10 + 14*w**3/5 - 122*w**2/5 + 336*w/5 - 288/5.
-(w - 12)**2*(w - 2)**2/10
Factor -3*b**2 - 72*b - 132.
-3*(b + 2)*(b + 22)
Factor -4*y**5 + 4*y**3.
-4*y**3*(y - 1)*(y + 1)
Factor 5*a**4 - 75*a**3 + 220*a**2.
5*a**2*(a - 11)*(a - 4)
Let -3*v**3/4 - 9*v**2/2 - 15*v/4 = 0. What is v?
-5, -1, 0
Determine m so that -4*m**5 + 40*m**4 - 116*m**3 + 32*m**2 + 192*m = 0.
-1, 0, 3, 4
Factor -d**4/6 - 5*d**3 + 32*d**2/3.
-d**2*(d - 2)*(d + 32)/6
Find k such that 20*k**3 + 1412*k**2 - 568*k = 0.
-71, 0, 2/5
Factor -2*p**3/3 - 8*p**2/3 + 58*p/3 - 16.
-2*(p - 3)*(p - 1)*(p + 8)/3
What is d in 5*d**5 - 195*d**4 + 355*d**3 + 575*d**2 - 720*d - 740 = 0?
-1, 2, 37
Factor -2*k**4 + 2160*k**3 - 775428*k**2 + 91745984*k + 282275286.
-2*(k - 361)**3*(k + 3)
Suppose 21*s**5/2 + 25143*s**4/2 + 7567035*s**3/2 + 24663873*s**2/2 + 10699434*s + 2138454 = 0. Calculate s.
-597, -2, -1, -2/7
Factor -28*a**3 + 876*a**2 + 648*a - 256.
-4*(a - 32)*(a + 1)*(7*a - 2)
What is w in 2*w**4/7 + 4*w**3/7 - 2*w**2/7 - 4*w/7 = 0?
-2, -1, 0, 1
Solve 2*z**3/17 - 14*z**2/17 + 12*z/17 = 0 for z.
0, 1, 6
Factor 2*t**5 - 4*t**4 - 8*t**3 + 4*t**2 + 6*t.
2*t*(t - 3)*(t - 1)*(t + 1)**2
Find c such that 3*c**5/7 + 417*c**4/7 + 19422*c**3/7 + 306084*c**2/7 + 63480*c/7 - 3504096/7 = 0.
-46, -4, 3
Factor 3*t**4/4 - 21*t**3 - 204*t**2 - 432*t.
3*t*(t - 36)*(t + 4)**2/4
Suppose -9*f**4/4 - 51*f**3/2 - 393*f**2/4 - 138*f - 36 = 0. Calculate f.
-4, -3, -1/3
Let 192*s**2 + 381*s - 6 = 0. Calculate s.
-2, 1/64
Factor -n**4/7 - 38*n**3/7 + 40*n**2/7 + 38*n/7 - 39/7.
-(n - 1)**2*(n + 1)*(n + 39)/7
Factor 5*n**5 - 20*n**4 - 135*n**3 - 190*n**2 - 80*n.
5*n*(n - 8)*(n + 1)**2*(n + 2)
Suppose -105*g**5 - 516*g**4 - 684*g**3 - 222*g**2 + 69*g + 18 = 0. What is g?
-3, -1, -1/5, 2/7
Factor g**5/4 - 2*g**4 + 13*g**3/4 - 3*g**2/2.
g**2*(g - 6)*(g - 1)**2/4
Factor -3*g**3/7 - 7500*g**2/7 - 670713*g - 9360006/7.
-3*(g + 2)*(g + 1249)**2/7
Suppose 3*b**4/5 + 92*b**3/5 + 231*b**2/5 + 198*b/5 + 56/5 = 0. Calculate b.
-28, -1, -2/3
Let -5*x**3 - 70*x**2 + 275*x + 340 = 0. What is x?
-17, -1, 4
Factor -2*c**3/7 - 374*c**2/7 - 18720*c/7 - 16200.
-2*(c + 7)*(c + 90)**2/7
Determine k so that k**5/10 + 13*k**4/10 + 7*k**3/2 - 13*k**2/10 - 18*k/5 = 0.
-9, -4, -1, 0, 1
Suppose -5*m**5 + 15*m**3 - 10*m**2 = 0. Calculate m.
-2, 0, 1
Factor j**4/6 + 238*j**3/3 + 57587*j**2/6 + 112100*j/3 + 27848.
(j + 1)*(j + 3)*(j + 236)**2/6
Factor -5*r**3/2 - 55*r**2/2 - 75*r.
-5*r*(r + 5)*(r + 6)/2
Factor 2*b**2/15 + 4*b/15 - 2/5.
2*(b - 1)*(b + 3)/15
Suppose -2*r**2/5 - 76*r/5 - 66 = 0. What is r?
-33, -5
Suppose z**2 + 45*z - 46 = 0. Calculate z.
-46, 1
Let 2*i**5 + 156*i**4 + 594*i**3 - 95472*i**2 + 749088*i = 0. What is i?
-51, 0, 12
Find t, given that -t**2/7 + 445*t/7 + 446/7 = 0.
-1, 446
Factor 3*i**2/2 + 2367*i - 4740.
3*(i - 2)*(i + 1580)/2
Factor 2*a**3/13 - 62*a**2/13 - 180*a/13 + 1584/13.
2*(a - 33)*(a - 4)*(a + 6)/13
Find i such that 126*i**5 - 528*i**4/5 - 2842*i**3/5 + 6764*i**2/15 + 328*i + 80/3 = 0.
-2, -2/5, -2/21, 5/3
Determine c, given that -4*c**2 + 96*c + 324 = 0.
-3, 27
Determine j so that -32*j**3 + 96*j**2 - 70*j + 12 = 0.
1/4, 3/4, 2
Suppose -d**3/4 + 115*d**2/2 = 0. Calculate d.
0, 230
What is t in 15*t**2 + 55*t + 50 = 0?
-2, -5/3
Find i, given that -2*i**4/7 - 8*i**3/7 + 6*i**2 - 8*i/7 - 8 = 0.
-7, -1, 2
Factor -9*l**2/2 - 17*l + 4.
-(l + 4)*(9*l - 2)/2
Solve -900*x**5/7 - 2220*x**4 - 76096*x**3/7 - 77072*x**2/7 - 16640*x/7 - 1024/7 = 0.
-8, -1, -2/15
Factor x**2/4 - 37*x/2 + 70.
(x - 70)*(x - 4)/4
Let 3*w**5 + 36*w**4 + 30*w**3 - 36*w**2 - 33*w = 0. What is w?
-11, -1, 0, 1
Find o, given that -320*o**4 + 8428*o**3 - 10800*o**2 + 2492*o + 200 = 0.
-1/16, 2/5, 1, 25
Factor 4*n**3/3 - 436*n**2/3 + 14300*n/3 - 147500/3.
4*(n - 59)*(n - 25)**2/3
Factor 4*t**5/7 - 8*t**4/7 - 8*t**3/7 + 32*t**2/7 - 4*t + 8/7.
4*(t - 1)**4*(t + 2)/7
Factor q**5 + 4*q**4 - 11*q**3 - 66*q**2 - 72*q.
q*(q - 4)*(q + 2)*(q + 3)**2
Let 3*v**5 - 54*v**4 + 375*v**3 - 1236*v**2 + 1872*v - 960 = 0. What is v?
1, 4, 5
Let -3*z**3/8 + 3*z**2/8 + 15*z/4 + 3 = 0. Calculate z.
-2, -1, 4
Let -3*y**2/7 + 1914*y/7 - 305283/7 = 0. Calculate y.
319
Factor -r**4/3 + 31*r**3/3 - 110*r**2 + 1300*r/3 - 1000/3.
-(r - 10)**3*(r - 1)/3
Determine o, given that 26*o**3/5 - 32*o**2 + 258*o/5 - 36/5 = 0.
2/13, 3
Solve -16*d**5 - 476*d**4 - 1752*d**3 + 26388*d**2 - 53136*d + 11664 = 0 for d.
-18, 1/4, 3
Solve 2*v**5/3 - 60*v**4 - 184*v**3/3 + 60*v**2 + 182*v/3 = 0.
-1, 0, 1, 91
Factor -4*k**3 - 16*k**2 - 21*k - 9.
-(k + 1)*(2*k + 3)**2
Solve -2*j**4 - 20*j**3 - 64*j**2 - 76*j - 30 = 0 for j.
-5, -3, -1
Solve 4*i**2/3 + 196*i/3 + 184 = 0.
-46, -3
Solve 3*c**4/2 - 147*c**3/2 - 153*c**2 = 0 for c.
-2, 0, 51
Determine g so that -55*g**5 + 395*g**4 - 1005*g**3 + 1105*g**2 - 500*g + 60 = 0.
2/11, 1, 2, 3
Factor 5*o**2 + 740*o + 27380.
5*(o + 74)**2
Factor b**4 + 245*b**3 + 20169*b**2 + 570807*b + 1062882.
(b + 2)*(b + 81)**3
Factor -u**4/2 - 13*u**3/2 - 6*u**2.
-u**2*(u + 1)*(u + 12)/2
Let 3*z**2 + 72*z + 132 = 0. Calculate z.
-22, -2
Suppose 98*y**4/11 - 1022*y**3/11 - 608*y**2/11 - 8*y = 0. Calculate y.
-2/7, 0, 11
Factor -2*w**2/13 - 160*w/13 - 1022/13.
-2*(w + 7)*(w + 73)/13
Factor -3*l**4 - 60*l**3 + 273*l**2 - 354*l + 144.
-3*(l - 2)*(l - 1)**2*(l + 24)
Factor 2*t**3/7 + 80*t**2/7 + 22*t + 76/7.
2*(t + 1)**2*(t + 38)/7
Solve 5*i**3 - 40*i**2 - 20*i + 160 = 0 for i.
-2, 2, 8
Factor 4*s**4/9 - 40*s**3/9 + 116*s**2/9 - 128*s/9 + 16/3.
4*(s - 6)*(s - 2)*(s - 1)**2/9
Factor -3*t**3/5 - 42*t**2/5 + 93*t/5 - 48/5.
-3*(t - 1)**2*(t + 16)/5
Factor -4*c**3 - 104*c**2 + 224*c.
-4*c*(c - 2)*(c + 28)
Solve 3*k**5/4 + 51*k**4/4 + 99*k**3/2 + 51*k**2 - 42*k - 72 = 0.
-12, -2, 1
Find s, given that -s**5/5 - 2*s**4 - 28*s**3/5 - 24*s**2/5 = 0.
-6, -2, 0
Let -2*j**5 + 50*j**4 - 332*j**3 + 192*j**2 + 576*j = 0. What is j?
-1, 0, 2, 12
Factor -2*t**4 + 36*t**3 - 18*t**2 - 296*t + 408.
-2*(t - 17)*(t - 2)**2*(t + 3)
Suppose 55*x**3/2 - 115*x**2 - 12115*x/2 + 1105 = 0. Calculate x.
-13, 2/11, 17
Determine r so that 4*r**3/7 - 256*r**2/7 = 0.
0, 64
Factor -20*v**2/3 - 37*v + 29/3.
-(4*v - 1)*(5*v + 29)/3
Factor h**4 + 7*h**3 - 417*h**2 + 1309*h + 12100.
(h - 11)**2*(h + 4)*(h + 25)
Factor -2*y**3/11 - 10*y**2 - 414*y/11 - 306/11.
-2*(y + 1)*(y + 3)*(y + 51)/11
Factor u**2/6 + 115*u/6.
u*(u + 115)/6
Suppose -3*o**2 - 195*o - 192 = 0. Calculate o.
-64, -1
Factor 2*v**3 + 348*v**2 + 19800*v + 365904.
2*(v + 42)*(v + 66)**2
Let k**2/5 + 204*k/5 + 10404/5 = 0. What is k?
-102
Factor -i**3/6 - 13*i**2/6 + 5*i + 84.
-(i - 6)*(i + 7)*(i + 12)/6
Factor -2*c**2/13 + 28*c/13.
-2*c*(c - 14)/13
Determine d so that d**3/6 - 8*d**2/3 + 35*d/6 + 26/3 = 0.
-1, 4, 13
Factor -3*s**3 - 78*s**2 - 627*s - 1452.
-3*(s + 4)*(s + 11)**2
Factor -2*u**3/7 - 132*u**2/7 - 18*u + 260/7.
-2*(u - 1)*(u + 2)*(u + 65)/7
What is d in 2*d**2/3 + 6856*d/3 + 5875592/3 = 0?
-1714
Determine u so that -87*u**5/2 + 55*u**4 + 385*u**3/2 + 100*u**2 + 6*u = 0.
-1, -2/3, -2/29, 0, 3
Let -t**5 + 14*t**3 - 12*t**2 - 13*t + 12 = 0. What is t?
-4, -1, 1, 3
Suppose 2*t**2/13 - 108*t/13 = 0. What is t?
0, 54
Determine w, given that 4*w**2 - 316*w + 616 = 0.
2, 77
Factor -a**3/3 - 31*a**2/3 - 200*a/3 - 368/3.
-(a + 4)**2*(a + 23)/3
Factor q**3 + 1422*q**2.
q**2*(q + 1422)
Factor 2*t**3 + 799*t**2 - 2007*t + 1206.
(t - 1)*(t + 402)*(2*t - 3)
Factor -r**4 + 7*r**3 + 12*r**2 - 68*r - 112.
-(r - 7)*(r - 4)*(r + 2)**2
Determine k, given that -2*k**2/5 + 152*k/5 - 296/5 = 0.
2, 74
Solve 18*x**5 + 69*x**4 + 42*x**3 - 9*x**2 = 0.
-3, -1, 0, 1/6
What is g in 5*g**3 - 590*g**2 - 2420*g - 2440 = 0?
-2, 122
Factor -4*r**2 + 56*r + 60.
-4*(r - 15)*(r + 1)
Factor -3*w**5 + 15*w**4 - 24*w**3 + 12*w**2.
-3*w**2*(w - 2)**2*(w - 1)
Factor -9*u**2