 = 0.
3/26
Factor -s**3/3 + 59*s**2/3 + 121*s/3 + 61/3.
-(s - 61)*(s + 1)**2/3
Determine o so that -12*o**5 + 153*o**4 - 681*o**3 + 1164*o**2 - 432*o - 192 = 0.
-1/4, 1, 4
Factor -y**4/2 + 35*y**3/2 - 91*y**2 + 116*y.
-y*(y - 29)*(y - 4)*(y - 2)/2
Let -y**4/3 + 8*y**3/3 - 4*y**2 - 32*y/3 + 64/3 = 0. Calculate y.
-2, 2, 4
Factor 5*n**3 + 110*n**2 + 295*n + 190.
5*(n + 1)*(n + 2)*(n + 19)
Factor -2*j**2/5 + 12*j/5 - 18/5.
-2*(j - 3)**2/5
Determine j so that 2*j**2/13 + 2044*j/13 + 522242/13 = 0.
-511
Factor -2*t**2/3 - 274*t.
-2*t*(t + 411)/3
Factor -2*d**4/9 - 19*d**3/9 - 5*d**2 - 2*d.
-d*(d + 3)*(d + 6)*(2*d + 1)/9
Let -22*c**2 - 62*c + 12 = 0. What is c?
-3, 2/11
Factor -2*b**2/19 - 2436*b/19 - 741762/19.
-2*(b + 609)**2/19
Factor 2*s**2 - 46*s - 840.
2*(s - 35)*(s + 12)
Suppose -3*t**4/5 - 72*t**3/5 - 261*t**2/5 + 420*t - 1764/5 = 0. Calculate t.
-14, 1, 3
Let -2*c**2/3 + 332*c = 0. Calculate c.
0, 498
Determine j so that -5*j**2 - 260*j - 735 = 0.
-49, -3
Factor -t**5/4 + 9*t**4/4 - 8*t**3 + 14*t**2 - 12*t + 4.
-(t - 2)**4*(t - 1)/4
Solve -15*j**5 - 160*j**4 - 520*j**3 - 640*j**2 - 240*j = 0 for j.
-6, -2, -2/3, 0
Factor -15*u**2 - 12010*u + 4005.
-5*(u + 801)*(3*u - 1)
Solve 4*n**3 - 24*n**2 + 20*n = 0.
0, 1, 5
Find j, given that 5*j**2 - 140*j + 375 = 0.
3, 25
Suppose -2*h**2/19 - 132*h/19 - 2178/19 = 0. Calculate h.
-33
Determine d so that -4*d**5 + 48*d**4 - 36*d**3 - 88*d**2 = 0.
-1, 0, 2, 11
Find v such that v**3/4 + v**2/2 + v/4 = 0.
-1, 0
Solve -12*h**5 + 312*h**4 - 843*h**3 + 309*h**2 + 855*h - 621 = 0.
-1, 1, 3/2, 23
Suppose -3*v**4 + 82*v**3 - 816*v**2 + 3456*v - 5120 = 0. What is v?
10/3, 8
Factor 15*x**2 + 666*x - 405.
3*(x + 45)*(5*x - 3)
Let -10*d**2/11 - 44*d + 294/11 = 0. What is d?
-49, 3/5
Factor -3*x**3 + 38*x**2 - 24*x.
-x*(x - 12)*(3*x - 2)
Let -b**5 - 19*b**4 - 94*b**3 + 6*b**2 + 927*b + 1485 = 0. What is b?
-11, -5, -3, 3
Find p, given that 686*p**4 + 96824*p**3 - 83328*p**2 + 23840*p - 2272 = 0.
-142, 2/7
Factor 5*c**3/2 - 15*c**2 + 25*c/2.
5*c*(c - 5)*(c - 1)/2
Factor -k**3/5 - 7*k**2 - 128*k/5 - 124/5.
-(k + 2)**2*(k + 31)/5
Solve t**5 - 65*t**4 - 270*t**3 - 410*t**2 - 275*t - 69 = 0.
-1, 69
Factor -2*t**3/15 - 154*t**2/15 - 962*t/5 + 1014/5.
-2*(t - 1)*(t + 39)**2/15
Determine t, given that 2*t**5/3 - 10*t**4/3 + 8*t**3/3 = 0.
0, 1, 4
Find w such that 7*w**4/2 - 79*w**3/2 + 130*w**2 - 118*w + 24 = 0.
2/7, 1, 4, 6
Determine k, given that -2*k**2 - 14*k - 20 = 0.
-5, -2
Factor -q**5/5 + 4*q**4/5 - 4*q**3/5 - 2*q**2/5 + q - 2/5.
-(q - 2)*(q - 1)**3*(q + 1)/5
Solve -3*k**3/2 + 99*k**2/2 + 3*k/2 - 99/2 = 0.
-1, 1, 33
Solve 3*c**3 - 12*c**2 + 9*c = 0 for c.
0, 1, 3
What is o in 5*o**2 - 130*o + 845 = 0?
13
Solve -6*u**5 - 32*u**4 - 64*u**3 - 60*u**2 - 26*u - 4 = 0.
-2, -1, -1/3
Factor -3*d**3/4 + 39*d**2/4 + 15*d - 63.
-3*(d - 14)*(d - 2)*(d + 3)/4
Factor -5*v**3 + 110*v**2 - 655*v + 550.
-5*(v - 11)*(v - 10)*(v - 1)
Determine y, given that 2*y**3/13 - 6*y**2/13 + 8/13 = 0.
-1, 2
Factor -5*k**5 + 120*k**3 - 320*k**2 + 240*k.
-5*k*(k - 2)**3*(k + 6)
Suppose 2*d**5/3 + 10*d**4/3 + 2*d**3 - 10*d**2/3 - 8*d/3 = 0. What is d?
-4, -1, 0, 1
Determine f, given that f**5/2 - 9*f**3 + 16*f**2 - 15*f/2 = 0.
-5, 0, 1, 3
Let 4*j**3 + 24*j**2 + 20*j - 48 = 0. What is j?
-4, -3, 1
Factor -4*z**3 - 512*z**2 + 2096*z - 2112.
-4*(z - 2)**2*(z + 132)
Solve 2*p**3/3 - 6*p**2/7 - 8*p/7 + 8/21 = 0 for p.
-1, 2/7, 2
Find r, given that r**2 - 379*r + 378 = 0.
1, 378
Suppose -3*l**4/2 + 7*l**3 - 7*l**2/2 - 2*l = 0. What is l?
-1/3, 0, 1, 4
Find w, given that -3*w**3/5 - 1428*w**2/5 - 33699*w + 342726/5 = 0.
-239, 2
Let -5*u**4 - 55*u**3 - 175*u**2 - 125*u = 0. Calculate u.
-5, -1, 0
Let -9375*v**5 + 12500*v**4 - 18125*v**3/3 + 1250*v**2 - 100*v + 8/3 = 0. What is v?
1/15, 2/5
Factor h**5 + h**4 - 14*h**3 - 28*h**2 + 8*h + 32.
(h - 4)*(h - 1)*(h + 2)**3
Solve -2*v**4 - 144*v**3 - 810*v**2 - 1196*v - 528 = 0.
-66, -4, -1
Find z, given that -18*z**3/11 - 32*z**2/11 + 750*z/11 - 700/11 = 0.
-70/9, 1, 5
Find h such that -18*h**3/7 - 1356*h**2/7 - 1784*h/7 - 592/7 = 0.
-74, -2/3
Factor 2*k**2 - 8*k - 10.
2*(k - 5)*(k + 1)
What is l in l**3/9 - 8*l**2/9 - 44*l/9 - 16/3 = 0?
-2, 12
What is p in -p**3/11 + 86*p**2/11 - 1135*p/11 + 1050/11 = 0?
1, 15, 70
Solve -i**3/8 - 27*i**2/2 - 102*i - 200 = 0.
-100, -4
Factor -2*k**3/5 + 12*k**2 + 2*k/5 - 12.
-2*(k - 30)*(k - 1)*(k + 1)/5
Solve -16*j**4 - 376*j**3 + 1487*j**2 - 672*j + 81 = 0 for j.
-27, 1/4, 3
Factor -2*n**5/11 + 2*n**3/11.
-2*n**3*(n - 1)*(n + 1)/11
Factor 5*p**3 - 35*p**2 - 805*p - 765.
5*(p - 17)*(p + 1)*(p + 9)
What is o in -5*o**4 - 30*o**3 - 40*o**2 = 0?
-4, -2, 0
Factor -t**5/2 + t**3 - t/2.
-t*(t - 1)**2*(t + 1)**2/2
Suppose t**4 + 4*t**3 - 3*t**2 - 10*t + 8 = 0. What is t?
-4, -2, 1
Factor -n**2 + 2822*n - 1990921.
-(n - 1411)**2
Determine u, given that -2*u**5/17 - 28*u**4/17 - 40*u**3/17 + 100*u**2/17 + 42*u/17 - 72/17 = 0.
-12, -3, -1, 1
Factor -4*z**4/7 - 8*z**3/7 + 32*z**2/7.
-4*z**2*(z - 2)*(z + 4)/7
Factor 4*k**5 - 12*k**4 - 8*k**3 + 48*k**2 - 32*k.
4*k*(k - 2)**2*(k - 1)*(k + 2)
Solve -2*u**4/5 + 14*u**3/5 + 78*u**2/5 + 106*u/5 + 44/5 = 0.
-2, -1, 11
Find o such that 8*o**5/9 - 2*o**4 - 28*o**3/9 + 8*o**2/3 + 20*o/9 - 2/3 = 0.
-1, 1/4, 1, 3
Factor -h**2/3 + 24*h + 148/3.
-(h - 74)*(h + 2)/3
Suppose 2*h**5/3 - 26*h**4/3 + 22*h**3/3 + 26*h**2/3 - 8*h = 0. Calculate h.
-1, 0, 1, 12
Factor 4*b**4 - 144*b**3 + 1432*b**2 - 2448*b + 1156.
4*(b - 17)**2*(b - 1)**2
Solve d**3/6 + 599*d**2/6 - 100*d = 0 for d.
-600, 0, 1
Let -14*n**2 - 228*n - 64 = 0. What is n?
-16, -2/7
Determine w so that w**4/2 + 201*w**3/2 - 9*w**2/2 - 1809*w/2 = 0.
-201, -3, 0, 3
Find g such that 5*g**3 + 14475*g**2 + 13968375*g + 4493160625 = 0.
-965
Solve -4*h**4 + 244*h**3/7 + 688*h**2/7 + 176*h/7 = 0.
-2, -2/7, 0, 11
Factor 2*b**5/3 - 54*b**4 + 828*b**3 + 10548*b**2 + 34830*b + 36450.
2*(b - 45)**2*(b + 3)**3/3
Factor -3*h**3/2 + 71*h**2/2 - 176*h + 102.
-(h - 17)*(h - 6)*(3*h - 2)/2
Factor -2*b**3/17 + 188*b**2/17 - 4224*b/17 - 9216/17.
-2*(b - 48)**2*(b + 2)/17
Solve 3*v**3 - 4599*v**2 + 1760265*v + 1764867 = 0 for v.
-1, 767
Factor -3*s**2/2 + 3*s - 3/2.
-3*(s - 1)**2/2
Determine x, given that -108*x**5 - 156*x**4 - 160*x**3/3 - 16*x**2/3 = 0.
-1, -2/9, 0
What is p in 3*p**5 - 6*p**4 - 33*p**3 + 12*p**2 + 84*p + 48 = 0?
-2, -1, 2, 4
Determine o, given that 5*o**3 + 880*o**2 + 39585*o + 75690 = 0.
-87, -2
Factor 4*o**3/11 - 59*o**2/11 - 79*o/11 - 16/11.
(o - 16)*(o + 1)*(4*o + 1)/11
Determine x so that x**4/7 + 2*x**3/7 - 2*x/7 - 1/7 = 0.
-1, 1
Suppose 3*h**3/7 + 12*h**2/7 - 3*h/7 - 12/7 = 0. What is h?
-4, -1, 1
Factor q**5/4 + 119*q**4/4 + 1320*q**3 + 25650*q**2 + 175500*q - 202500.
(q - 1)*(q + 30)**4/4
Solve a**5 + 8*a**4 + 7*a**3 = 0 for a.
-7, -1, 0
Factor -4*i**3 + 44*i**2 - 40*i.
-4*i*(i - 10)*(i - 1)
Determine w, given that -5*w**4 + 80*w**3 + 270*w**2 + 280*w + 95 = 0.
-1, 19
Factor -25*f**4 - 95*f**3 - 115*f**2 - 45*f.
-5*f*(f + 1)**2*(5*f + 9)
Factor w**2 + 327*w.
w*(w + 327)
Let -25*b**4/3 - 20*b**3 + 23*b**2 + 56*b/3 - 16 = 0. What is b?
-3, -1, 4/5
Factor -5*f**3/3 - 80*f**2/3 + 305*f/3 + 380/3.
-5*(f - 4)*(f + 1)*(f + 19)/3
Factor -o**2 + 19*o.
-o*(o - 19)
Factor -21*k**2/5 - 918*k/5 + 264/5.
-3*(k + 44)*(7*k - 2)/5
Factor -8*c**3 - 242*c**2 + 452*c + 128.
-2*(c - 2)*(c + 32)*(4*c + 1)
Suppose 2*n**4/9 - 92*n**3/9 + 46*n**2 - 148*n/9 - 656/9 = 0. Calculate n.
-1, 2, 4, 41
Factor 2*r**2/9 + 8*r/9 - 10/9.
2*(r - 1)*(r + 5)/9
Suppose 3*z**3 + 2610*z**2 + 570276*z + 1130136 = 0. Calculate z.
-434, -2
Factor w**2 + 148*w + 5476.
(w + 74)**2
Factor 5*l**2 + 38830*l + 75388445.
5*(l + 3883)**2
Let 2*l**3 - 62*l**2 = 0. Calculate l.
0, 31
Factor a**2 + 537*a + 1070.
(a + 2)*(a + 535)
Determine n, given that 2*n**4/5 + 142*n**3/5 - 348*n**2 + 5192*n/5 - 4592/5 = 0.
-82, 2, 7
What is b in -b**5/6 - 59*b**4/6 + 61*b**3/2 - 185*b**2/6 + 31*b/3 = 0?
-62, 0, 1
Factor 3*s**3/5 + 3492*s**2/5 + 1354896*s/5 + 175233216/5.
3*(s + 388)**3/5
Let 36*t**5 - 8*t**4 - 72*t**3 + 16*t**2 + 36*t - 8 = 0. Calculate t.
-1, 2/9, 1
Find i, given that i**2/4 - 723*i + 522729 = 0.
1446
Suppose -2*d**4/7 + 4*d**3 + 62*d**2/7 + 32*d/7 = 0. Calculate d.
-1, 0, 16
Find h, given that -5*h**5 + 355*h**4 + 2655*h**3 + 5785*h**2 + 5