 2
Let a**3/5 - 156*a**2/5 + 6237*a/5 - 11858/5 = 0. What is a?
2, 77
Factor d**4 - 10*d**3 - 37*d**2 - 26*d.
d*(d - 13)*(d + 1)*(d + 2)
Suppose -2*v**4/15 - 8*v**3/5 - 22*v**2/15 = 0. What is v?
-11, -1, 0
Factor 16*b**4 - 14*b**3.
2*b**3*(8*b - 7)
Find x such that 2*x**2 - 4986*x + 4984 = 0.
1, 2492
Find d, given that 8*d**3 - 6634*d**2 + 8282*d - 1656 = 0.
1/4, 1, 828
Factor -22*n**5 + 20*n**4 + 2*n**3.
-2*n**3*(n - 1)*(11*n + 1)
Factor -12*k**3 + 448*k**2 - 1744*k/3 + 192.
-4*(k - 36)*(3*k - 2)**2/3
Suppose -2*i**3/3 + 122*i**2/3 - 2470*i/3 + 16606/3 = 0. What is i?
19, 23
Factor -16*c**4 + 108*c**3 + 156*c**2 + 32*c.
-4*c*(c - 8)*(c + 1)*(4*c + 1)
Factor -u**2 + 112*u + 113.
-(u - 113)*(u + 1)
Factor -2*a**2/3 + 44*a/3 + 90.
-2*(a - 27)*(a + 5)/3
Factor -3*z**3/2 + 2457*z**2 - 1341522*z + 244157004.
-3*(z - 546)**3/2
Factor -n**3/8 + 7*n**2/8 + 17*n/8 + 9/8.
-(n - 9)*(n + 1)**2/8
What is d in -2*d**3 + 26*d**2 + 130*d + 102 = 0?
-3, -1, 17
Factor -4*k**3/9 + 44*k**2 - 1020*k - 3468.
-4*(k - 51)**2*(k + 3)/9
Solve -3*z**5/2 + 3*z**4 - 3*z**3/2 = 0.
0, 1
Let -59*q**2 - 352*q + 12 = 0. What is q?
-6, 2/59
Solve 27*m**5/2 + 555*m**4/2 + 271*m**3/2 - 595*m**2/2 - 149*m + 20 = 0.
-20, -1, -2/3, 1/9, 1
Factor -t**3 + 8*t**2 + 19*t + 10.
-(t - 10)*(t + 1)**2
Factor -2*z**2/3 + 22*z/3 - 20/3.
-2*(z - 10)*(z - 1)/3
Factor -2*l**5 + 1350*l**4 - 228486*l**3 + 227138*l**2.
-2*l**2*(l - 337)**2*(l - 1)
Factor -5*c**2 - 325*c - 1220.
-5*(c + 4)*(c + 61)
Let -4*c**3 - 1104*c**2 - 77268*c - 150152 = 0. What is c?
-137, -2
Solve -85*g**4 - 2135*g**3 + 4255*g**2 - 1765*g - 270 = 0 for g.
-27, -2/17, 1
Solve 2*u**5 - 146*u**4 + 2438*u**3 + 8210*u**2 + 8512*u + 2888 = 0.
-1, 38
Find a, given that -a**4 - a**3/6 + 29*a**2/6 + 2*a/3 - 10/3 = 0.
-2, -1, 5/6, 2
Factor v**5/11 - 34*v**4/11 + 393*v**3/11 - 1768*v**2/11 + 2704*v/11.
v*(v - 13)**2*(v - 4)**2/11
Factor -n**3/2 - 17*n**2/2 - 7*n + 16.
-(n - 1)*(n + 2)*(n + 16)/2
Determine h so that 2*h**5/9 - 8*h**4/9 + 4*h**3/9 + 8*h**2/9 - 2*h/3 = 0.
-1, 0, 1, 3
Suppose 243*g**5/5 + 297*g**4/5 - 4074*g**3/5 + 546*g**2 + 759*g/5 + 9 = 0. Calculate g.
-5, -1/9, 1, 3
Determine f, given that -f**5 + 2*f**4 + 4*f**3 - 2*f**2 - 3*f = 0.
-1, 0, 1, 3
Suppose 3*x**4 + 87*x**3 + 309*x**2 + 225*x = 0. What is x?
-25, -3, -1, 0
Factor f**3/5 + 101*f**2/5 + 2867*f/5 + 15463/5.
(f + 7)*(f + 47)**2/5
Let -b**2/4 - 1073*b/2 - 1151329/4 = 0. What is b?
-1073
Suppose -o**4/5 - 1408*o**3/5 + 1409*o**2/5 = 0. What is o?
-1409, 0, 1
Solve 2*a**2 + 366*a + 1080 = 0.
-180, -3
Determine s, given that -2*s**5 - 8*s**4 + 30*s**3 + 116*s**2 + 80*s = 0.
-5, -2, -1, 0, 4
Find s, given that -3*s**3/4 - 9*s**2/2 + 135*s/4 + 243/2 = 0.
-9, -3, 6
Factor 2*s**2 + 752*s - 754.
2*(s - 1)*(s + 377)
Factor -j**5/4 - 7*j**4/2 - 18*j**3 - 40*j**2 - 32*j.
-j*(j + 2)*(j + 4)**3/4
Factor -5*v**4 + 95*v**3 - 495*v**2 + 405*v.
-5*v*(v - 9)**2*(v - 1)
Factor -2*g**2/15 - 38*g/15 + 1444/15.
-2*(g - 19)*(g + 38)/15
Let -5*o**2 - 31920*o - 50944320 = 0. Calculate o.
-3192
Solve -2*r**5/11 - 482*r**4/11 - 2846*r**3/11 - 6134*r**2/11 - 5648*r/11 - 1880/11 = 0 for r.
-235, -2, -1
Solve -5*f**2 - 6490*f - 2106005 = 0 for f.
-649
Factor -m**4/4 + 23*m**3/4 - 177*m**2/4 + 545*m/4 - 275/2.
-(m - 11)*(m - 5)**2*(m - 2)/4
Factor 2*c**3/9 - 4*c**2/9 - 2*c/9 + 4/9.
2*(c - 2)*(c - 1)*(c + 1)/9
Determine z, given that 5*z**3 + 100*z**2 + 625*z + 1250 = 0.
-10, -5
Suppose -4*v**4 - 44*v**3 - 152*v**2 - 208*v - 96 = 0. Calculate v.
-6, -2, -1
Factor -2*m**2/9 - 118*m/9 + 40/3.
-2*(m - 1)*(m + 60)/9
Factor 9*n**4 + 663*n**3 + 12099*n**2 - 4107*n.
3*n*(n + 37)**2*(3*n - 1)
Let 9*a**4 - 78*a**3 + 192*a**2 - 96*a = 0. What is a?
0, 2/3, 4
Determine u so that -5*u**5/6 - 9*u**4/2 - 25*u**3/3 - 6*u**2 - 4*u/3 = 0.
-2, -1, -2/5, 0
What is t in -t**4/6 - 14*t**3/3 + 31*t**2/2 - 2*t/3 - 62/3 = 0?
-31, -1, 2
Solve 2*n**4/5 - 76*n**3/5 + 722*n**2/5 = 0.
0, 19
Let 13*y**2/4 + 193*y/4 + 45 = 0. Calculate y.
-180/13, -1
What is p in 23762*p**2/7 + 1308*p/7 + 18/7 = 0?
-3/109
Factor g**3/8 - 24*g**2 + 1536*g - 32768.
(g - 64)**3/8
Suppose 3*n**2/8 + 885*n/4 + 261075/8 = 0. What is n?
-295
Determine s so that -2*s**3/9 - 862*s**2/9 + 3520*s/3 - 3544 = 0.
-443, 6
Determine x, given that -4*x**3/3 + 8*x**2 + 256*x/3 + 128 = 0.
-4, -2, 12
Determine r, given that -r**5 + 29*r**4 + 61*r**3 + 31*r**2 = 0.
-1, 0, 31
Factor -20*l**3 + 1780*l**2 - 1765*l + 440.
-5*(l - 88)*(2*l - 1)**2
Solve -h**2/4 + 65*h/4 = 0 for h.
0, 65
Let -14*u**3/15 + 4*u**2 - 16*u/15 = 0. What is u?
0, 2/7, 4
Factor -2*o**4 + 1572*o**3 - 307320*o**2 - 620944*o.
-2*o*(o - 394)**2*(o + 2)
What is f in f**2/7 + 10*f/7 - 8 = 0?
-14, 4
Suppose -2*d**3 + 18*d**2 = 0. What is d?
0, 9
Suppose -3*q**5 + 291*q**4 - 6906*q**3 - 7494*q**2 + 6909*q + 7203 = 0. What is q?
-1, 1, 49
Factor 2*r**4 - 32*r**3 + 26*r**2 + 60*r.
2*r*(r - 15)*(r - 2)*(r + 1)
Let 3*q**4/5 + 291*q**3/5 + 288*q**2/5 = 0. What is q?
-96, -1, 0
What is m in 2*m**3/7 - 102*m**2/7 + 148*m = 0?
0, 14, 37
Factor -4*c**4 - 20*c**3 + 56*c**2.
-4*c**2*(c - 2)*(c + 7)
Factor 5*j**2 - 185*j + 180.
5*(j - 36)*(j - 1)
Factor -4*f**4/7 - 52*f**3/7 - 160*f**2/7 - 144*f/7.
-4*f*(f + 2)**2*(f + 9)/7
Suppose -b**4/2 - 3*b**3 - 5*b**2/2 + 6*b = 0. Calculate b.
-4, -3, 0, 1
Let 4*t**5 - 108*t**4 + 876*t**3 - 2020*t**2 + 1824*t - 576 = 0. What is t?
1, 12
Determine x, given that 2*x**2/23 + 6492*x/23 + 6490/23 = 0.
-3245, -1
Factor 2*p**3 + 8*p**2 - 90*p.
2*p*(p - 5)*(p + 9)
Determine m so that 2*m**2/11 + 60*m/11 + 58/11 = 0.
-29, -1
Let -2*q**4/7 - 32*q**3/7 - 156*q**2/7 - 32*q - 14 = 0. Calculate q.
-7, -1
Factor y**5 - 6*y**4 - 2*y**3 + 12*y**2 + y - 6.
(y - 6)*(y - 1)**2*(y + 1)**2
Factor k**2/2 - 41*k/2 + 20.
(k - 40)*(k - 1)/2
Find l such that -4*l**4 - 20*l**3 + 28*l**2 + 164*l + 120 = 0.
-5, -2, -1, 3
Factor 5*n**4 + 65*n**3 + 60*n**2.
5*n**2*(n + 1)*(n + 12)
Suppose -2*v**3 - 14*v**2 + 8*v + 56 = 0. Calculate v.
-7, -2, 2
Find c, given that 4*c**5/3 - 221*c**4/3 - 815*c**3 - 5875*c**2/3 + 1625*c/3 = 0.
-5, 0, 1/4, 65
Solve -s**2/5 - 43*s - 426/5 = 0.
-213, -2
Factor 3*n**3/2 + 115*n**2/2 + 179*n + 140.
(n + 2)*(n + 35)*(3*n + 4)/2
Factor -u**2/2 - 39*u/2 + 216.
-(u - 9)*(u + 48)/2
Suppose -2*w**5/3 + 26*w**4/3 - 110*w**3/3 + 50*w**2 = 0. What is w?
0, 3, 5
Solve 75*m**2 - 140*m - 20 = 0.
-2/15, 2
Factor 4*m**5 - 156*m**4 + 1488*m**3 - 5440*m**2 + 6912*m.
4*m*(m - 27)*(m - 4)**3
Determine o so that -o**4/2 + 2*o**3 - 5*o**2/2 + o = 0.
0, 1, 2
Factor -12*h**2 - 188*h - 120.
-4*(h + 15)*(3*h + 2)
Let -10*c**3/11 - 406*c**2/11 - 236*c/11 + 160/11 = 0. What is c?
-40, -1, 2/5
Factor 27*b**5/7 + 144*b**4/7 + 138*b**3/7 - 144*b**2/7 + 27*b/7.
3*b*(b + 3)**2*(3*b - 1)**2/7
What is u in 5*u**5/6 + 20*u**4/3 - 5*u**3/2 - 55*u**2/3 + 40*u/3 = 0?
-8, -2, 0, 1
Factor i**4 + 14*i**3 - 48*i**2 + 50*i - 17.
(i - 1)**3*(i + 17)
Factor 3*x**2 - 12*x.
3*x*(x - 4)
What is a in -a**2 - 7*a + 8 = 0?
-8, 1
Factor 2*y**2/15 + 14*y/15 + 4/5.
2*(y + 1)*(y + 6)/15
Factor -14*r**3 + 288*r**2 - 1560*r + 800.
-2*(r - 10)**2*(7*r - 4)
Factor s**4 - 28*s**3 - 124*s**2 - 128*s.
s*(s - 32)*(s + 2)**2
Factor -2*n**2/17 + 814*n/17 + 48.
-2*(n - 408)*(n + 1)/17
What is j in -2*j**2/3 - 8*j - 40/3 = 0?
-10, -2
Factor -3*l**2 + 14922*l - 18555507.
-3*(l - 2487)**2
Factor -5*f**3 + 90*f**2 - 540*f + 1080.
-5*(f - 6)**3
Factor -k**3/4 - 381*k**2/4 - 759*k/4 - 379/4.
-(k + 1)**2*(k + 379)/4
Let 3*r**3 + 15*r**2 - 132*r + 180 = 0. Calculate r.
-10, 2, 3
Factor 2*n**4 + 8*n**3 - 54*n**2 + 76*n - 32.
2*(n - 2)*(n - 1)**2*(n + 8)
Find y, given that -5*y**4 - 10*y**3 + 15*y**2 = 0.
-3, 0, 1
Solve -5*n**5 + 1330*n**4 - 87095*n**3 - 180890*n**2 + 87100*n + 179560 = 0.
-2, -1, 1, 134
Solve 2*i**3 + 28*i**2 + 88*i + 80 = 0.
-10, -2
Factor -2*s**4/9 + 310*s**3/3 + 932*s**2/9.
-2*s**2*(s - 466)*(s + 1)/9
Factor -a**4/7 - 4*a**3/7 + 12*a**2/7.
-a**2*(a - 2)*(a + 6)/7
What is b in -b**3/2 - 8*b**2 - 14*b = 0?
-14, -2, 0
Factor -4*b**2 - 320*b - 2800.
-4*(b + 10)*(b + 70)
Factor -5*x**2 - 682*x - 272.
-(x + 136)*(5*x + 2)
Suppose -x**3/7 - 6*x**2/7 + 32/7 = 0. What is x?
-4, 2
Find u, given that -2*u**4 + 4*u**2 - 2 = 0.
-1, 1
What is q in -4*q**4 + 792*q**3 - 53040*q**2 + 1250600*q - 3295500 = 0?
3, 65
Factor -3*f**2/2 + 1146*f 