.
-1, 1, 10
Factor 5*v**2/4 + 173*v/2 + 69/4.
(v + 69)*(5*v + 1)/4
Factor 4*y**4 + 328*y**3 - 336*y**2 - 328*y + 332.
4*(y - 1)**2*(y + 1)*(y + 83)
Let 3*p**2/8 - 51*p/2 + 867/2 = 0. What is p?
34
Let -4*m**5 + 8*m**4 + 16*m**3 - 8*m**2 - 12*m = 0. What is m?
-1, 0, 1, 3
Determine i so that 2*i**5/5 + 26*i**4/5 - 344*i**2/5 - 704*i/5 - 384/5 = 0.
-12, -2, -1, 4
Let 2*c**2/7 + 520*c/7 + 2550/7 = 0. Calculate c.
-255, -5
Factor -2*y**4 + 10*y**3 - 6*y**2 - 18*y.
-2*y*(y - 3)**2*(y + 1)
What is x in 8*x**4 + 206*x**3 + 268*x**2 - 1616*x + 384 = 0?
-24, -4, 1/4, 2
Suppose q**4/9 + 5*q**3/3 + 23*q**2/9 - 13*q/3 = 0. Calculate q.
-13, -3, 0, 1
Factor -171*x**2 + 168*x + 3.
-3*(x - 1)*(57*x + 1)
Factor 2*p**3/11 - 78*p**2/11 - 354*p/11 + 430/11.
2*(p - 43)*(p - 1)*(p + 5)/11
Factor -3*z**4/4 - 3*z**3/2 + 129*z**2/4 - 30*z.
-3*z*(z - 5)*(z - 1)*(z + 8)/4
Factor 49*j**3 - 1134*j**2 + 6561*j.
j*(7*j - 81)**2
Suppose -2*b**5/15 + 24*b**4/5 - 128*b**3/3 - 96*b**2/5 + 864*b/5 = 0. Calculate b.
-2, 0, 2, 18
Factor -2*l**2/9 - 124*l/9 - 118/3.
-2*(l + 3)*(l + 59)/9
Find m such that 4*m**4/3 - 23*m**3/3 + 14*m**2/3 + 5*m/3 = 0.
-1/4, 0, 1, 5
Determine x so that -x**4/6 + x**3/2 - x**2/2 + x/6 = 0.
0, 1
Determine i so that 8*i**3 + 164*i**2 - 264*i = 0.
-22, 0, 3/2
Factor 3*l**4/4 + 9*l**3/2 + 9*l**2 + 15*l/2 + 9/4.
3*(l + 1)**3*(l + 3)/4
Find h, given that 36*h**5 + 2832*h**4 - 959*h**3 - 867*h**2 + 159*h + 79 = 0.
-79, -1/3, 1/2
Suppose -3*v**5/5 - 12*v**4/5 + 9*v**3 + 174*v**2/5 + 24*v = 0. Calculate v.
-5, -2, -1, 0, 4
Factor -v**4/3 - 7*v**3/3 - 14*v**2/3 - 8*v/3.
-v*(v + 1)*(v + 2)*(v + 4)/3
Determine n so that 81*n**4/2 - 2871*n**3/2 + 12315*n**2 + 7182*n + 972 = 0.
-1/3, -2/9, 18
Factor t**3/2 + 13*t**2/2 + 35*t/2 - 49/2.
(t - 1)*(t + 7)**2/2
Factor 9*d**5 - 267*d**4 + 2610*d**3 - 8100*d**2 - 3000*d.
3*d*(d - 10)**3*(3*d + 1)
Factor -2*l**4 - 28*l**3 - 70*l**2 - 44*l.
-2*l*(l + 1)*(l + 2)*(l + 11)
Factor -5*z**2/2 + 5*z/2 + 15.
-5*(z - 3)*(z + 2)/2
Determine g, given that -10*g**3 + 744*g**2 - 6146*g + 2340 = 0.
2/5, 9, 65
What is i in i**5/4 - i**4/2 - 11*i**3/2 + 2*i**2 + 117*i/4 + 45/2 = 0?
-3, -2, -1, 3, 5
Find a, given that -5*a**2/3 + 200*a - 2160 = 0.
12, 108
Determine a so that -4*a**4/3 + 320*a**3/3 + 652*a**2/3 + 328*a/3 = 0.
-1, 0, 82
Factor 14*b**4 + 87*b**3 - 75*b**2 + 14*b.
b*(b + 7)*(2*b - 1)*(7*b - 2)
Factor -z**2 + 30*z + 136.
-(z - 34)*(z + 4)
Find x, given that -10*x**3 - 188*x**2 + 238*x - 40 = 0.
-20, 1/5, 1
Find w, given that -2*w**5/3 - 22*w**4/3 - 26*w**3 - 74*w**2/3 + 80*w/3 + 32 = 0.
-4, -3, -1, 1
Factor k**4 + 10*k**3 - 12*k**2 - 136*k - 160.
(k - 4)*(k + 2)**2*(k + 10)
Determine i, given that 136*i**2 - 1092*i + 32 = 0.
1/34, 8
Factor 4*d**4 - 16*d**3 - 148*d**2 - 272*d - 144.
4*(d - 9)*(d + 1)*(d + 2)**2
Factor g**2/6 - 19*g/6 - 10/3.
(g - 20)*(g + 1)/6
Factor -l**3/4 + 423*l**2/4 + l/4 - 423/4.
-(l - 423)*(l - 1)*(l + 1)/4
Factor 2*i**2 + 128*i - 544.
2*(i - 4)*(i + 68)
Determine n, given that 2*n**3 - 582*n**2 + 1158*n - 578 = 0.
1, 289
Factor 3*u**4 - 18*u**3 + 27*u**2 - 12*u.
3*u*(u - 4)*(u - 1)**2
Factor 9*c**4 - 2382*c**3 + 3952*c**2 - 1842*c + 263.
(c - 263)*(c - 1)*(3*c - 1)**2
Factor f**4/2 - 10*f**3 + 58*f**2 - 80*f.
f*(f - 10)*(f - 8)*(f - 2)/2
Solve 5*h**4 + 505*h**3 + 1485*h**2 + 1475*h + 490 = 0.
-98, -1
Solve u**2 - 1512*u = 0.
0, 1512
Factor 6*x**2/5 + 186*x/5 + 1188/5.
6*(x + 9)*(x + 22)/5
Factor 4*q**3 - 20*q**2 + 24*q.
4*q*(q - 3)*(q - 2)
Factor -6*u**2/7 - 4*u/7 + 16/7.
-2*(u + 2)*(3*u - 4)/7
What is x in 15*x**5 + 273*x**4/2 - 57*x**3/2 - 831*x**2/2 - 693*x/2 - 81 = 0?
-9, -1, -3/5, -1/2, 2
Factor s**2 - 86*s - 87.
(s - 87)*(s + 1)
Find o such that 2*o**4 + 10*o**3 - 30*o**2 - 10*o + 28 = 0.
-7, -1, 1, 2
Factor -14*h**2 - 450*h - 64.
-2*(h + 32)*(7*h + 1)
Factor 2*o**2/9 + 40*o/9.
2*o*(o + 20)/9
Suppose h**2/3 - 8*h/3 = 0. Calculate h.
0, 8
What is z in -8*z**4/9 + 146*z**3/9 + 92*z**2/3 + 82*z/9 - 40/9 = 0?
-1, 1/4, 20
Determine m so that 2*m**4/7 - 960*m**3/7 + 116156*m**2/7 - 229440*m/7 + 114242/7 = 0.
1, 239
Solve -12*j**4 - 672*j**3 - 1935*j**2 - 1437*j - 318 = 0.
-53, -2, -1/2
Find q such that 5*q**4/4 - 31*q**3/2 - 951*q**2/4 - 590*q + 275 = 0.
-5, 2/5, 22
Factor -81*y**4/7 + 156*y**3/7 + 12*y**2/7.
-3*y**2*(y - 2)*(27*y + 2)/7
Determine b, given that -b**2/3 - 3328*b/3 - 1109 = 0.
-3327, -1
Suppose 12*y**3 + 29*y**2 + 7*y - 6 = 0. What is y?
-2, -3/4, 1/3
Let 5*y**5/4 - 125*y**4/2 - 2255*y**3/4 - 935*y**2 - 435*y = 0. Calculate y.
-6, -1, 0, 58
Solve -5*c**2 + 50*c - 105 = 0 for c.
3, 7
Factor 3*i**4 - 36*i**3 - 39*i**2.
3*i**2*(i - 13)*(i + 1)
What is w in -3*w**4 + 108*w**2 = 0?
-6, 0, 6
Factor 3*i**4 + 126*i**3 - 396*i**2 + 402*i - 135.
3*(i - 1)**3*(i + 45)
Factor 2*r**2/3 - 44*r/3 + 170/3.
2*(r - 17)*(r - 5)/3
Find v such that -2*v**5 + 68*v**4 + 382*v**3 + 312*v**2 = 0.
-4, -1, 0, 39
Solve 5*u**4 + 215*u**3 + 1955*u**2 - 7935*u = 0 for u.
-23, 0, 3
Find h, given that -2*h**2/5 + 102*h/5 - 20 = 0.
1, 50
Factor 2*v**3 - 4120*v**2 + 2125914*v - 4235364.
2*(v - 1029)**2*(v - 2)
Determine m, given that 2*m**3/5 - 18*m**2/5 - 72*m/5 = 0.
-3, 0, 12
Determine o so that -o**5/2 + 13*o**4/2 - 28*o**3 + 40*o**2 = 0.
0, 4, 5
Solve -l**3/2 - 2*l**2 + 6*l = 0.
-6, 0, 2
Find o such that o**2/5 - 1/5 = 0.
-1, 1
Factor 4*n**4/5 - 71*n**3/5 + 306*n**2/5 + 81*n/5.
n*(n - 9)**2*(4*n + 1)/5
Solve 3*t**5/7 - 12*t**4/7 - 45*t**3/7 + 54*t**2/7 = 0 for t.
-3, 0, 1, 6
Find a such that 8*a**4/3 - 312*a**3 + 27842*a**2/3 - 9048*a + 6728/3 = 0.
1/2, 58
Suppose -z**2 - 6*z = 0. What is z?
-6, 0
Solve 3*p**2/5 - 5058*p/5 - 5061/5 = 0.
-1, 1687
Find y, given that -4*y**3 - 168*y**2 - 1764*y = 0.
-21, 0
Factor 2*o**2 - 2*o - 40.
2*(o - 5)*(o + 4)
Let 1575*b**4 + 2980*b**3 - 560*b**2 - 400*b + 80 = 0. What is b?
-2, -2/5, 2/9, 2/7
Factor g**5/2.
g**5/2
Factor -4*z**4 - 68*z**3 - 260*z**2 + 500*z + 3000.
-4*(z - 3)*(z + 5)**2*(z + 10)
Factor 3*d**4/5 - 21*d**3/5 + 6*d**2/5 + 192*d/5 - 288/5.
3*(d - 4)**2*(d - 2)*(d + 3)/5
Let -2*y**2/7 - 22*y/7 - 20/7 = 0. Calculate y.
-10, -1
Factor 16*k**2 - 336*k + 1764.
4*(2*k - 21)**2
Let -4*g**4 + 24*g**3 + 144*g**2 + 160*g = 0. What is g?
-2, 0, 10
Let 14*v**3 + 5128*v**2 + 1464*v = 0. What is v?
-366, -2/7, 0
Factor 4*b**2 - 284*b + 1560.
4*(b - 65)*(b - 6)
Factor -y**2/2 - 1543*y/2 + 772.
-(y - 1)*(y + 1544)/2
What is m in 5*m**4 - 40*m**3 - 15*m**2 + 130*m - 80 = 0?
-2, 1, 8
What is o in 2*o**2/5 - 44*o/5 - 54 = 0?
-5, 27
Let -2*t**4/3 + 2*t**3 - 2*t**2/3 - 2*t + 4/3 = 0. Calculate t.
-1, 1, 2
Suppose -h**2/3 + 25*h/3 - 46/3 = 0. Calculate h.
2, 23
What is n in -5*n**3 - 1670*n**2 - 9880*n - 13120 = 0?
-328, -4, -2
Factor -3*r**2/5 + 57*r/5 - 144/5.
-3*(r - 16)*(r - 3)/5
Let -u**4 - 7*u**3 - 13*u**2 + 3*u + 18 = 0. What is u?
-3, -2, 1
What is a in -4*a**4 - 4*a**3 + 8*a**2 = 0?
-2, 0, 1
Determine i so that i**4/6 + 43*i**3/6 + 185*i**2/2 + 1957*i/6 + 722/3 = 0.
-19, -4, -1
Let -5*x**3 + 140*x + 240 = 0. What is x?
-4, -2, 6
Solve o**5/4 - 29*o**4/4 + 49*o**3/4 + 141*o**2/4 - 81*o/2 = 0.
-2, 0, 1, 3, 27
Factor a**2/3 - 13*a/3 + 12.
(a - 9)*(a - 4)/3
Solve -18*n**4/7 + 222*n**3/7 - 606*n**2/7 + 618*n/7 - 216/7 = 0 for n.
1, 4/3, 9
Solve -2*t**5/11 + 12*t**4/11 - 18*t**3/11 + 8*t**2/11 = 0.
0, 1, 4
Factor -w**2 - 3*w + 54.
-(w - 6)*(w + 9)
Factor 5*q**4 - 55*q**3 + 165*q**2 - 25*q - 250.
5*(q - 5)**2*(q - 2)*(q + 1)
Solve -4*x**4/5 - 68*x**3/5 + 16*x**2/5 + 272*x/5 = 0.
-17, -2, 0, 2
Solve -16*q**4 + 12*q**3 + 64*q**2 - 48*q = 0 for q.
-2, 0, 3/4, 2
Solve 2*p**4 - 30*p**3 + 94*p**2 - 66*p = 0.
0, 1, 3, 11
Factor -2*v**3/7 + 1686*v**2/7 + 1692*v/7 - 3376/7.
-2*(v - 844)*(v - 1)*(v + 2)/7
Determine k, given that 12*k**5 + 92*k**4 - 436*k**3 + 68*k**2 + 264*k = 0.
-11, -2/3, 0, 1, 3
Factor f**2/3 + 107*f/3 - 226.
(f - 6)*(f + 113)/3
Determine w so that -w**3 - 16*w**2 - 63*w = 0.
-9, -7, 0
Factor -2*i**4 + 2*i**3 + 16*i**2 - 24*i.
-2*i*(i - 2)**2*(i + 3)
Factor p**2/3 + 6*p + 80/3.
(p + 8)*(p + 10)/3
Factor 2*h**3/13 + 44*h**2/13 - 112*h/13 - 384/13.
2*(h - 4)*(h + 2)*(h + 24)/13
Suppose g**4/9 + 8*g**3/3 + 2*g**2 - 112*g/9 + 23/3 = 0. Calculate g.
-23, -3, 1
Find u, given that u**5 + 9*u**4 - 33*u**3 - 217*u**2 + 816*u - 576 = 0.
-8, 1, 3
Find i such that -i**3/2 - 17*i**2/2 - 40