1)/8
Solve 4*j**5 - 148*j**4 + 1952*j**3 - 10640*j**2 + 20352*j - 11520 = 0 for j.
1, 2, 10, 12
Find g, given that 168*g**4 + 501*g**3 + 327*g**2 - 6*g = 0.
-2, -1, 0, 1/56
Factor p**2 + 42*p + 41.
(p + 1)*(p + 41)
Factor -5*q**2 - 1170*q + 4760.
-5*(q - 4)*(q + 238)
Factor x**4/3 + 19*x**3/3 - 102*x**2 + 252*x + 360.
(x - 6)**2*(x + 1)*(x + 30)/3
Factor -p**2/3 + 80*p/3.
-p*(p - 80)/3
Find q, given that 4*q**3 + 16*q**2 - 512*q - 3072 = 0.
-8, 12
Determine q so that -2*q**2/11 + 30*q/11 - 52/11 = 0.
2, 13
Determine l so that -4*l**4 + 28*l**3 + 4*l**2 - 28*l = 0.
-1, 0, 1, 7
Let -g**2 - 707*g/2 + 177 = 0. What is g?
-354, 1/2
Factor -3*a**2/4 + 3*a/2 + 6.
-3*(a - 4)*(a + 2)/4
Factor 57*c**3 - 747*c**2 + 78*c.
3*c*(c - 13)*(19*c - 2)
Suppose -39*d**2/4 + 33*d/4 + 3/2 = 0. What is d?
-2/13, 1
What is d in 4*d**3 - 36*d**2 + 72*d = 0?
0, 3, 6
Let -10*p**4 - 12*p**3 + 18*p**2 + 4*p = 0. What is p?
-2, -1/5, 0, 1
Determine b, given that 2*b**2 - 4584*b + 2626632 = 0.
1146
Determine a, given that -a**2/2 + 45*a/2 - 198 = 0.
12, 33
What is p in -2*p**4 + 44*p**3 - 114*p**2 = 0?
0, 3, 19
What is f in -2*f**2/5 + 392*f/5 - 19208/5 = 0?
98
Factor 2*s**4 - 78*s**3 - 82*s**2 + 78*s + 80.
2*(s - 40)*(s - 1)*(s + 1)**2
Solve 3*v**3 + 216*v**2/7 + 249*v/7 + 54/7 = 0 for v.
-9, -1, -2/7
Determine p, given that -2*p**5 + 30*p**4 + 34*p**3 - 30*p**2 - 32*p = 0.
-1, 0, 1, 16
Factor 27*u**4 - 120*u**3 + 71*u**2 + 22*u.
u*(u - 1)*(3*u - 11)*(9*u + 2)
Factor -9*w**2/8 - 14915*w/8 - 1657/4.
-(w + 1657)*(9*w + 2)/8
Factor z**2 + 126*z + 3969.
(z + 63)**2
Let 18*d**5 + 372*d**4 + 1196*d**3 + 1288*d**2 + 514*d + 68 = 0. Calculate d.
-17, -2, -1, -1/3
Determine m, given that -4*m**3 + 8*m**2 + 32*m = 0.
-2, 0, 4
Factor -2*q**2 + 2284*q - 2282.
-2*(q - 1141)*(q - 1)
Factor 4*f**4 + 1220*f**3 + 2428*f**2 + 1212*f.
4*f*(f + 1)**2*(f + 303)
Suppose -w**4 + 24*w**3 - 93*w**2 - 962*w + 4056 = 0. What is w?
-6, 4, 13
Let a**2/6 + 23*a/6 - 13 = 0. What is a?
-26, 3
Factor -5*i**2 + 720*i - 25920.
-5*(i - 72)**2
Find s, given that s**5/3 + 17*s**4/3 + 89*s**3/3 + 163*s**2/3 + 30*s = 0.
-9, -5, -2, -1, 0
Find a such that 27*a**5/5 - 87*a**4/5 - 279*a**3/5 + 147*a**2/5 + 252*a/5 - 12 = 0.
-2, -1, 2/9, 1, 5
What is v in -64*v**4 + 96*v**3 - 20*v**2 - 12*v = 0?
-1/4, 0, 3/4, 1
Factor -3*x**5/2 - 27*x**4/2 - 45*x**3 - 69*x**2 - 99*x/2 - 27/2.
-3*(x + 1)**3*(x + 3)**2/2
Find h such that h**2/2 + 647*h/2 - 2289 = 0.
-654, 7
Determine s so that -s**5/5 - 2*s**4/5 + 3*s**3/5 + 8*s**2/5 + 4*s/5 = 0.
-2, -1, 0, 2
Solve 3*t**3 - 48*t**2 + 207*t - 270 = 0 for t.
3, 10
What is p in -p**2/6 + 4*p/3 = 0?
0, 8
Factor 2*x**2 - 40*x + 72.
2*(x - 18)*(x - 2)
Find f such that 2*f**3/5 - 20*f**2 + 368*f/5 = 0.
0, 4, 46
Factor -3*p**3 + 3*p**2 + 6888*p - 129360.
-3*(p - 28)**2*(p + 55)
Factor 2*y**3/7 - 212*y**2/7 + 832*y - 10816/7.
2*(y - 52)**2*(y - 2)/7
Factor -48*o**4 + 18744*o**3 - 9363*o**2 + 1170*o.
-3*o*(o - 390)*(4*o - 1)**2
Find c such that 4*c**2 + 172*c + 168 = 0.
-42, -1
Solve -z**5/11 + 38*z**4/11 - 72*z**3/11 - 2*z**2/11 + 73*z/11 - 36/11 = 0 for z.
-1, 1, 36
Find p, given that -p**4 + 116*p**3/3 + 14*p**2 - 116*p/3 - 13 = 0.
-1, -1/3, 1, 39
Factor 50*r**3/9 - 3860*r**2/9 + 11968*r/9 - 9472/9.
2*(r - 74)*(5*r - 8)**2/9
Factor -7*h**4/3 - 58*h**3/3 + 47*h**2/3 + 6*h.
-h*(h - 1)*(h + 9)*(7*h + 2)/3
Determine k so that k**5 - 15*k**4 + 9*k**3 + 67*k**2 + 42*k = 0.
-1, 0, 3, 14
Let a**3/4 - a**2/4 - 2*a + 3 = 0. What is a?
-3, 2
Factor 4*c**3 + 11256*c**2 + 7907328*c - 15859712.
4*(c - 2)*(c + 1408)**2
Find t, given that 25*t**3 - 820*t**2 + 644*t - 128 = 0.
2/5, 32
Solve -2*l**3 - 1884*l**2 - 443682*l = 0 for l.
-471, 0
Suppose -v**3 - 263*v**2 - 1039*v - 777 = 0. Calculate v.
-259, -3, -1
Factor -i**2/11 + 54*i/11 + 5.
-(i - 55)*(i + 1)/11
Factor -2*p**2 + 116*p + 118.
-2*(p - 59)*(p + 1)
What is r in -3*r**2/2 - 3225*r/2 = 0?
-1075, 0
Find d such that 4*d**4/11 - 18*d**3/11 - 1252*d**2/11 - 6498*d/11 + 324 = 0.
-9, 1/2, 22
What is u in 5*u**3 - 25*u**2 - 20*u + 100 = 0?
-2, 2, 5
Factor -u**2/5 + 57*u/5 + 58/5.
-(u - 58)*(u + 1)/5
Factor 2*u**2 + 26*u.
2*u*(u + 13)
Factor 5*p**4 - 40*p**3 - 470*p**2 - 800*p - 375.
5*(p - 15)*(p + 1)**2*(p + 5)
Let 4*b**3 - 20*b**2 - 8*b + 96 = 0. Calculate b.
-2, 3, 4
Solve -f**3/2 + 17*f**2/2 - 40*f + 32 = 0 for f.
1, 8
Suppose 5*r**2 - 55*r + 90 = 0. Calculate r.
2, 9
Find a such that a**5/3 + 25*a**4/3 + 51*a**3 + 299*a**2/3 + 170*a/3 = 0.
-17, -5, -2, -1, 0
Solve 5*y**3 - 1355*y**2 + 96360*y - 609840 = 0.
7, 132
Let 2*f**5 - 4*f**4 - 6*f**3 + 8*f**2 + 8*f = 0. What is f?
-1, 0, 2
Factor 3*l**4 + 42*l**3 - 153*l**2 + 12*l + 204.
3*(l - 2)**2*(l + 1)*(l + 17)
Find q, given that q**2/6 + 11*q/2 - 17/3 = 0.
-34, 1
Determine v so that 5*v**4 + 2855*v**3 + 408975*v**2 + 406125*v = 0.
-285, -1, 0
Factor -105*y**3 + 681*y**2 - 312*y + 36.
-3*(y - 6)*(5*y - 1)*(7*y - 2)
Factor 4*x**2 - 1424*x + 126736.
4*(x - 178)**2
Find b such that 2*b**5 - 4*b**4 - 36*b**3 + 16*b**2 + 82*b - 60 = 0.
-3, -2, 1, 5
Find n such that -3*n**4/4 - 57*n**3/4 + 99*n**2/2 - 3*n - 66 = 0.
-22, -1, 2
Factor -308*d**2 + 8*d.
-4*d*(77*d - 2)
Factor -r**4/3 - 2*r**3 + 25*r**2/3 - 6*r.
-r*(r - 2)*(r - 1)*(r + 9)/3
Factor -z**2 - 66*z - 413.
-(z + 7)*(z + 59)
Factor 20*h**2 - 295*h + 1085.
5*(h - 7)*(4*h - 31)
Factor -5*g**3 - 60*g**2 - 135*g.
-5*g*(g + 3)*(g + 9)
Factor -3*h**2/5 - 6762*h/5 + 1353.
-3*(h - 1)*(h + 2255)/5
Let -2*z**2/9 - 8*z/9 + 8/3 = 0. Calculate z.
-6, 2
Solve 3*n**3/8 + 3*n**2 + 39*n/8 + 9/4 = 0.
-6, -1
Factor -9387*n**2/2 - 9393*n/2 - 3.
-3*(n + 1)*(3129*n + 2)/2
Factor -5*b**2/4 - 25*b - 455/4.
-5*(b + 7)*(b + 13)/4
Suppose 6*f**3/5 + 93*f**2/5 + 282*f/5 - 33 = 0. Calculate f.
-11, -5, 1/2
Find p, given that -p**3/9 + 190*p**2/9 - 2513*p/9 + 8624/9 = 0.
7, 176
Let d**5 - 6*d**4 + d**3 + 24*d**2 - 20*d = 0. Calculate d.
-2, 0, 1, 2, 5
Factor 4*q**3 - 10728*q**2 + 9590832*q - 2858067936.
4*(q - 894)**3
Factor r**3/5 + 21*r**2/5.
r**2*(r + 21)/5
Factor -2*f**3/5 + 3706*f**2/5 - 342990*f - 1718658/5.
-2*(f - 927)**2*(f + 1)/5
What is c in -2*c**3/15 - 2*c**2/15 + 88*c/15 + 56/5 = 0?
-6, -2, 7
Factor g**3 + 7*g**2.
g**2*(g + 7)
Factor 9*a**4 + 15*a**3 - 69*a**2 + 57*a - 12.
3*(a - 1)**2*(a + 4)*(3*a - 1)
Factor -3*l**4 + 6*l**3 + 81*l**2 - 324*l + 324.
-3*(l - 3)**2*(l - 2)*(l + 6)
What is z in 2*z**3/9 + 10*z**2/9 - 8*z/9 - 40/9 = 0?
-5, -2, 2
Determine q, given that 3*q**3 + 432*q**2 + 15975*q + 30246 = 0.
-71, -2
Determine p, given that -4*p**2 + 492*p + 1000 = 0.
-2, 125
Suppose v**5/5 - 46*v**4/5 - 146*v**3/5 - 52*v**2/5 + 29*v + 98/5 = 0. Calculate v.
-2, -1, 1, 49
Let -2*f**3/3 + 710*f**2/3 - 21808*f + 141288 = 0. What is f?
7, 174
Suppose -y**2 + 627*y - 626 = 0. What is y?
1, 626
Determine m so that 1029*m**3 + 147*m**2 - 168*m - 36 = 0.
-2/7, 3/7
Let -w**4/5 - w**3/5 + w**2/5 + w/5 = 0. Calculate w.
-1, 0, 1
Factor -4*y**2 + 92*y - 88.
-4*(y - 22)*(y - 1)
What is d in 25*d**3 - 705*d**2 - 1360*d + 300 = 0?
-2, 1/5, 30
Let 5*v**2 - 3780*v + 714420 = 0. Calculate v.
378
Determine a, given that a**4/5 - 6*a**3/5 - 7*a**2/5 = 0.
-1, 0, 7
Factor 26*v**5/3 + 22*v**4 + 14*v**3 - 10*v**2/3 - 4*v.
2*v*(v + 1)**3*(13*v - 6)/3
Determine u so that u**2/7 - 398*u/7 + 39601/7 = 0.
199
Solve 5*d**4 + 25*d**3 - 250*d**2 = 0.
-10, 0, 5
Factor b**3/2 - b**2/2 - b.
b*(b - 2)*(b + 1)/2
Factor 2*b**4 + 12*b**3 + 10*b**2 - 24*b.
2*b*(b - 1)*(b + 3)*(b + 4)
Factor 140*j**4/3 - 1775*j**3 + 16910*j**2 - 1805*j/3.
5*j*(j - 19)**2*(28*j - 1)/3
Factor -2*p**2 + 52*p + 814.
-2*(p - 37)*(p + 11)
Factor q**2/2 + 15*q + 81/2.
(q + 3)*(q + 27)/2
Factor -a**2 - 42*a - 216.
-(a + 6)*(a + 36)
Factor -3*c**4 - 39*c**3 - 138*c**2 - 144*c.
-3*c*(c + 2)*(c + 3)*(c + 8)
Suppose -21*o**5/4 + 3417*o**4/4 - 2319*o**3/4 - 17889*o**2/4 - 3762*o - 729 = 0. What is o?
-1, -2/7, 3, 162
Factor 5*o**2 + 49750*o + 123753125.
5*(o + 4975)**2
Find k such that -2*k**5 - 1264*k**4 + 1268*k**3 + 1264*k**2 - 1266*k = 0.
-633, -1, 0, 1
Factor 4*d**2 - 24*d.
4*d*(d - 6)
Factor 5*i**2/4 - 35*i/2 - 75/4.
5*(i - 15)*(i + 1)/4
Solve -4*r**5/17 - 22*r**4/17 - 32*r**3/17 - 2*r**2/17 + 12*r/17 = 0 for r.
-3, -2, -1, 0, 1/2
Factor -p**2/7 + 32*p/7 + 33/7.
-(p - 33)*(p + 1)/7
Determine p so that -4*p**4 - 124*p**3 - 204*p**2