2/5 + 548*k/5 - 220 = 0.
-550, 2
Factor 4*t**5 + 28*t**4 + 48*t**3 - 16*t**2 - 64*t.
4*t*(t - 1)*(t + 2)**2*(t + 4)
Factor -8*c**4/3 + 230*c**3/3 - 1736*c**2/3 + 392*c.
-2*c*(c - 14)**2*(4*c - 3)/3
Factor -2*o**3/11 + 72*o**2/11 - 538*o/11 + 468/11.
-2*(o - 26)*(o - 9)*(o - 1)/11
Factor 2*r**2/3 + 1070*r/3 - 1072/3.
2*(r - 1)*(r + 536)/3
Suppose 5*g**4 - 30*g**2 - 40*g - 15 = 0. What is g?
-1, 3
Factor 2*g**5/7 - 6*g**4/7 - 8*g**3/7.
2*g**3*(g - 4)*(g + 1)/7
Factor -2*v**5/13 + 198*v**4/13 - 4998*v**3/13 + 4802*v**2/13.
-2*v**2*(v - 49)**2*(v - 1)/13
Factor -g**2 + 2*g + 48.
-(g - 8)*(g + 6)
Factor j**3 - 8*j**2 + 7*j.
j*(j - 7)*(j - 1)
Let 35*z**3/2 + 410*z**2 + 345*z/2 = 0. What is z?
-23, -3/7, 0
Solve 28*g**5 - 36*g**4 - 20*g**3 + 36*g**2 - 8*g = 0 for g.
-1, 0, 2/7, 1
Let m**4 - 39*m**3 - 81*m**2 - 41*m = 0. What is m?
-1, 0, 41
Factor y**3 - 14*y**2 + 43*y - 30.
(y - 10)*(y - 3)*(y - 1)
Factor -321*q**2 - 6*q.
-3*q*(107*q + 2)
Find p such that -5*p**3 + 360*p**2 - 3405*p + 3050 = 0.
1, 10, 61
Suppose 3*j**5 + 15*j**4 - 6*j**3 - 126*j**2 - 189*j - 81 = 0. Calculate j.
-3, -1, 3
Let 3*r**4 - 276*r**3 + 6054*r**2 + 14100*r - 19881 = 0. What is r?
-3, 1, 47
Factor -y**3/4 + 375*y**2/2 + y/4 - 375/2.
-(y - 750)*(y - 1)*(y + 1)/4
Suppose -18*s**3/11 + 6*s**2 - 38*s/11 + 6/11 = 0. Calculate s.
1/3, 3
Factor 2*x**2/15 + 146*x/15 + 284/15.
2*(x + 2)*(x + 71)/15
Factor q**3/4 - q**2/4 - 5*q/4 - 3/4.
(q - 3)*(q + 1)**2/4
Factor 2*p**3/15 - 38*p**2/3 + 374*p/15 - 62/5.
2*(p - 93)*(p - 1)**2/15
Solve -3*d**3 + 129*d**2 - 1320*d - 1452 = 0 for d.
-1, 22
Factor -3*l**3 + 87*l**2 - 162*l.
-3*l*(l - 27)*(l - 2)
Find d such that 3*d**3 + 6*d**2 - 120*d + 192 = 0.
-8, 2, 4
Determine r so that r**3/3 - 4*r**2/3 + r = 0.
0, 1, 3
Factor -18522*u**3/13 + 26460*u**2/13 - 12600*u/13 + 2000/13.
-2*(21*u - 10)**3/13
Factor 11045*d**4 - 11985*d**3 + 960*d**2 - 20*d.
5*d*(d - 1)*(47*d - 2)**2
Factor -2*n**2/23 + 36*n/23 + 416/23.
-2*(n - 26)*(n + 8)/23
Suppose -3*c**5/4 + 39*c**4/4 - 63*c**3/4 - 339*c**2/4 + 363*c/2 - 90 = 0. Calculate c.
-3, 1, 4, 10
Suppose -l**5/6 + l**4 - 11*l**3/6 + l**2 = 0. Calculate l.
0, 1, 2, 3
Suppose -2*u**5 + 12*u**4 - 14*u**3 - 12*u**2 + 16*u = 0. What is u?
-1, 0, 1, 2, 4
Suppose 4*v**2 + 208*v + 2448 = 0. Calculate v.
-34, -18
Let -5*p**4 - 30*p**3 - 25*p**2 + 120*p + 180 = 0. Calculate p.
-3, -2, 2
Determine b, given that -b**4/7 - 13*b**3/7 - 36*b**2/7 = 0.
-9, -4, 0
Let 2*o**4/9 + 10*o**3/9 - 2*o**2/3 - 26*o/9 + 20/9 = 0. What is o?
-5, -2, 1
What is g in -2*g**5 - 4*g**4 + 80*g**3 - 128*g**2 = 0?
-8, 0, 2, 4
Factor -2*t**2/11 - 5804*t/11.
-2*t*(t + 2902)/11
Let 3*j**4 - 264*j**3 + 8712*j**2 - 127776*j + 702768 = 0. Calculate j.
22
Determine a, given that 4*a**2 + 3488*a + 760384 = 0.
-436
Factor h**2 - 247*h - 498.
(h - 249)*(h + 2)
Factor 3*h**4 + 18*h**3 + 33*h**2 + 18*h.
3*h*(h + 1)*(h + 2)*(h + 3)
Factor -2*b**3 + 214*b**2 - 212*b.
-2*b*(b - 106)*(b - 1)
What is n in -2*n**4 - 143*n**3 + 74*n**2 + 143*n - 72 = 0?
-72, -1, 1/2, 1
Solve a**4/4 - 17*a**3/4 + 14*a**2 - 13*a = 0 for a.
0, 2, 13
Let -16*x**3/9 + 478*x**2/9 - 404*x/9 - 58/9 = 0. What is x?
-1/8, 1, 29
Factor p**2/3 - 49*p + 146/3.
(p - 146)*(p - 1)/3
Suppose -a**5/5 - a**4 + 6*a**3/5 + 32*a**2/5 - 32*a/5 = 0. Calculate a.
-4, 0, 1, 2
Solve -30*a**3 - 35*a**2 + 120*a + 140 = 0.
-2, -7/6, 2
Factor 5*f**3 - 70*f**2 + 215*f - 150.
5*(f - 10)*(f - 3)*(f - 1)
Factor 3*t**5/5 + 3*t**4/5 - 6*t**3/5 - 6*t**2/5 + 3*t/5 + 3/5.
3*(t - 1)**2*(t + 1)**3/5
Suppose 4*g**5 - 72*g**3 - 128*g**2 - 60*g = 0. What is g?
-3, -1, 0, 5
Factor -4*j**4 + 18256*j**3 - 31245144*j**2 + 23767139536*j - 6779576552644.
-4*(j - 1141)**4
Determine i, given that -i**3/3 + 4*i**2 - 11*i/3 = 0.
0, 1, 11
Factor 3*g**3 + 609*g**2 - 612*g.
3*g*(g - 1)*(g + 204)
Factor -n**2/4 + 5711*n/2 - 32615521/4.
-(n - 5711)**2/4
Determine w, given that 18*w**3 + 80*w**2 + 296*w/9 + 32/9 = 0.
-4, -2/9
Factor 7*j**4/5 - 269*j**3/5 - 146*j**2 - 328*j/5.
j*(j - 41)*(j + 2)*(7*j + 4)/5
Factor 2*h**3/9 + 362*h**2/3 + 48224*h/3 - 750760/9.
2*(h - 5)*(h + 274)**2/9
What is f in -3*f**3/7 + 33*f**2/7 + 78*f/7 = 0?
-2, 0, 13
Suppose 2*a**4/7 - 17*a**3/7 + 39*a**2/7 - 5*a + 11/7 = 0. What is a?
1, 11/2
Factor 3*u**4 - 311*u**3 - 421*u**2 + 103*u + 210.
(u - 105)*(u + 1)**2*(3*u - 2)
Factor 28*r**3/5 + 48*r**2/5 - 16*r/5.
4*r*(r + 2)*(7*r - 2)/5
Solve 2*s**3/3 - 20*s**2/3 + 18*s - 12 = 0 for s.
1, 3, 6
Factor -4*i**2 - 3600*i - 810000.
-4*(i + 450)**2
Solve 22*l**2 - 62*l - 12 = 0.
-2/11, 3
Solve n**3/4 + 7*n**2/4 + 3*n = 0 for n.
-4, -3, 0
Let -10*o**3/11 + 36*o**2/11 + 6*o + 20/11 = 0. What is o?
-1, -2/5, 5
Let -2*b**2/9 + 10*b/3 - 28/9 = 0. What is b?
1, 14
Factor f**2/2 - 15*f/2 - 533.
(f - 41)*(f + 26)/2
Find n, given that 5*n**5/2 + 5*n**4 - 15*n**3 - 10*n**2 + 65*n/2 - 15 = 0.
-3, -2, 1
Suppose -3*k**4 + 27*k**3 - 57*k**2 - 27*k + 60 = 0. Calculate k.
-1, 1, 4, 5
Factor 4*x**3 - 92*x**2 - 312*x.
4*x*(x - 26)*(x + 3)
Factor -5593*q**2 + 2*q.
-q*(5593*q - 2)
Factor 2*z**2/13 - 164*z/13 + 3362/13.
2*(z - 41)**2/13
Factor -9*u**4/7 + 15*u**3/7 + 32*u**2/7 + 12*u/7.
-u*(u - 3)*(3*u + 2)**2/7
Factor 12*z**3 + 231*z**2 + 465*z + 102.
3*(z + 2)*(z + 17)*(4*z + 1)
Find c, given that -5*c**2 - 330*c = 0.
-66, 0
Factor 2*j**2/3 - 188*j/9 + 62/9.
2*(j - 31)*(3*j - 1)/9
Factor -5*u**3/4 - 20*u**2 - 385*u/4 - 245/2.
-5*(u + 2)*(u + 7)**2/4
Solve -4*p**2 - 28*p + 240 = 0 for p.
-12, 5
Factor -2*r**2 + 32*r + 34.
-2*(r - 17)*(r + 1)
Factor -4*f**5 + 2788*f**4 - 481612*f**3 - 1461604*f**2 - 1467200*f - 490000.
-4*(f - 350)**2*(f + 1)**3
Solve -3*j**3 - 24*j**2 + 57*j - 30 = 0 for j.
-10, 1
Suppose 4*p**5 - 28*p**4 + 56*p**3 - 32*p**2 = 0. What is p?
0, 1, 2, 4
What is x in 2*x**5/7 + 8*x**4/7 - 22*x**3/7 - 52*x**2/7 + 128*x/7 - 64/7 = 0?
-4, 1, 2
Factor -y**2/2 + 10*y - 42.
-(y - 14)*(y - 6)/2
Factor q**2 + 28*q + 52.
(q + 2)*(q + 26)
Factor r**4/10 - 48*r**3/5 + 549*r**2/10 - 81*r.
r*(r - 90)*(r - 3)**2/10
Determine a, given that 3*a**2/4 + 93*a/4 - 135 = 0.
-36, 5
Factor p**2/8 - 93*p/4 + 8649/8.
(p - 93)**2/8
Factor 3*g**2 + 21*g + 36.
3*(g + 3)*(g + 4)
Solve 5*s**5 + 100*s**4 + 95*s**3 = 0.
-19, -1, 0
Determine u, given that -162*u**3 - 19044*u**2 + 8488*u - 944 = 0.
-118, 2/9
Let 2*w**3 - 2608*w**2 + 852810*w - 1695204 = 0. Calculate w.
2, 651
Find i such that i**3/6 - 37*i**2/6 + 35*i/3 = 0.
0, 2, 35
Determine v, given that 2*v**3 + 408*v**2 + 27744*v + 628864 = 0.
-68
Factor -4*r**5 - 48*r**4 - 88*r**3 + 336*r**2 - 196*r.
-4*r*(r - 1)**2*(r + 7)**2
Determine o so that 26*o**3 - 916*o**2 + 1926*o - 396 = 0.
3/13, 2, 33
Factor -1566*f**3/7 - 771*f**2/7 + 6*f/7.
-3*f*(2*f + 1)*(261*f - 2)/7
Factor 30*o**2 + 5*o - 5.
5*(2*o + 1)*(3*o - 1)
Determine s, given that -2*s**3/9 - 10*s**2/3 - 32*s/3 + 128/9 = 0.
-8, 1
Factor y**3/10 - 31*y/10 - 3.
(y - 6)*(y + 1)*(y + 5)/10
Factor 49*b**4 + 15806*b**3 + 1279149*b**2 + 727076*b + 103684.
(b + 161)**2*(7*b + 2)**2
Factor c**5/4 + 7*c**4/4 - 17*c**3/4 + 9*c**2/4.
c**2*(c - 1)**2*(c + 9)/4
Find d such that 2*d**3/3 + 22*d**2 - 756*d = 0.
-54, 0, 21
Factor -y**3/9 + 16*y**2/9 + 76*y/9 + 80/9.
-(y - 20)*(y + 2)**2/9
What is b in 9*b**2/4 - 129*b/2 - 855/4 = 0?
-3, 95/3
Factor -2*t**2/3 + 64*t/3 + 22.
-2*(t - 33)*(t + 1)/3
Find g, given that -2*g**3 - 744*g**2 - 69930*g - 136900 = 0.
-185, -2
Factor -2*b**2 + 70*b.
-2*b*(b - 35)
Determine y so that -4*y**3 + 962*y**2 - 2384*y + 952 = 0.
1/2, 2, 238
Suppose -2*o**2/15 - 364*o/15 - 16562/15 = 0. Calculate o.
-91
Determine g so that -9*g**4/2 - 1317*g**3/2 - 2793*g**2 - 3414*g - 852 = 0.
-142, -2, -1/3
Factor 2*n**4 - 12*n**3 + 22*n**2 - 12*n.
2*n*(n - 3)*(n - 2)*(n - 1)
Factor -3*w**2 + 54*w.
-3*w*(w - 18)
Solve -2*g**4/13 + 36*g**3/13 - 30*g**2/13 - 68*g/13 = 0 for g.
-1, 0, 2, 17
Find q such that -q**5/3 + q**4 - 2*q**3/3 = 0.
0, 1, 2
Factor 5*o**4 - 10*o**2 + 5.
5*(o - 1)**2*(o + 1)**2
Factor -2*c**4/3 + 832*c**3/3 - 29392*c**2 + 342784*c/3 - 339488/3.
-2*(c - 206)**2*(c - 2)**2/3
Let b**2/5 - 2*b/5 - 3/5 = 0. What is b?
-1, 3
Factor 5*w**3 + 525*w**2 + 18375*w + 214375.
5*(w + 35)**3
What is x in 45*x**5 + 295*x**4 + 265*x**3 - 495*x**2 - 310*x + 200 = 0?
-5, -2, -1, 4/9, 1
Factor n**4 + 6*n**3 + 5*n**2 - 24*n - 36.
(n - 2)*(n + 2)*(n + 3)**