r -4*n**4 + 8*n**3.
-4*n**3*(n - 2)
Factor -4*k**3/5 + 344*k**2/5 - 672*k/5.
-4*k*(k - 84)*(k - 2)/5
Factor -k**4 - 6*k**3 + 15*k**2 - 8*k.
-k*(k - 1)**2*(k + 8)
Factor 7*r**4 - 201*r**3 + 1671*r**2 - 3055*r - 1014.
(r - 13)**2*(r - 3)*(7*r + 2)
Factor 2*s**2/5 + 10*s - 232/5.
2*(s - 4)*(s + 29)/5
Factor i**3/4 - 17*i**2/4 + 20*i - 16.
(i - 8)**2*(i - 1)/4
Let -2*w**2/11 - 48*w/11 = 0. Calculate w.
-24, 0
Factor -2*x**2/7 - 68*x/7.
-2*x*(x + 34)/7
What is r in -5*r**2/4 - 35*r - 65 = 0?
-26, -2
Factor -2*g**5/9 + 14*g**4/9 - 20*g**3/9.
-2*g**3*(g - 5)*(g - 2)/9
Factor -4*x**2/7 + 4*x - 40/7.
-4*(x - 5)*(x - 2)/7
Let 5*a**3 - 450*a**2 + 9165*a + 44180 = 0. What is a?
-4, 47
Let -2*p**3/3 - 262*p**2 - 34322*p - 4496182/3 = 0. Calculate p.
-131
Find d such that -2*d**5 + 42*d**4 - 310*d**3 + 990*d**2 - 1368*d + 648 = 0.
1, 2, 3, 6, 9
Suppose -v**4/6 + 5*v**3/6 + v**2/6 - 17*v/6 - 2 = 0. Calculate v.
-1, 3, 4
Suppose -2*p**2 - 3011*p/2 + 3015/2 = 0. What is p?
-3015/4, 1
What is a in -5*a**4 - 260*a**3 - 3380*a**2 = 0?
-26, 0
Find f, given that -f**5 - 1597*f**4 - 3191*f**3 - 1595*f**2 = 0.
-1595, -1, 0
Determine k, given that -2*k**3/13 - 10*k**2/13 + 332*k/13 - 320/13 = 0.
-16, 1, 10
Factor 2*f**3/7 + 40*f**2/7 - 566*f/7 - 1276/7.
2*(f - 11)*(f + 2)*(f + 29)/7
What is l in l**3/3 - 857*l**2/3 + 61061*l + 61347 = 0?
-1, 429
Solve -u**2 + 366*u + 367 = 0.
-1, 367
Solve -2*u**2/9 + 188*u - 39762 = 0 for u.
423
Factor n**5 - 6*n**4 + 8*n**3.
n**3*(n - 4)*(n - 2)
Factor n**3/5 - 324*n**2/5 - 651*n/5 - 326/5.
(n - 326)*(n + 1)**2/5
Let 3*z**5/7 + 18*z**4/7 - 39*z**3/7 - 18*z**2 = 0. Calculate z.
-7, -2, 0, 3
Factor -u**4/3 - 7*u**3/3 + 3*u**2 + 7*u/3 - 8/3.
-(u - 1)**2*(u + 1)*(u + 8)/3
Factor -b**3 - 297*b**2 - 22491*b - 64827.
-(b + 3)*(b + 147)**2
Determine h, given that -5*h**5 - 30*h**4 + 170*h**3 - 280*h**2 + 195*h - 50 = 0.
-10, 1
Factor -g**3 + 136*g**2 - 789*g + 1170.
-(g - 130)*(g - 3)**2
Factor 4*s**2 - 332*s.
4*s*(s - 83)
Factor 3*b**3 - 66*b**2 - 3*b + 66.
3*(b - 22)*(b - 1)*(b + 1)
Find i such that -105*i**5 - 807*i**4 + 3054*i**3 + 6564*i**2 + 3288*i + 480 = 0.
-10, -1, -2/5, -2/7, 4
Factor -5*l**2 + 65*l - 150.
-5*(l - 10)*(l - 3)
Factor j**3/3 - 83*j**2/3 + 163*j/3 - 27.
(j - 81)*(j - 1)**2/3
Let 11*r**2/7 + 2*r/7 - 40/7 = 0. What is r?
-2, 20/11
Factor -2*v**5/3 - 88*v**4/3 - 484*v**3 - 10648*v**2/3 - 29282*v/3.
-2*v*(v + 11)**4/3
Factor 294*j**2/5 + 1624*j/5 + 6728/15.
2*(21*j + 58)**2/15
Solve -m**2/6 + 91*m/6 - 440/3 = 0 for m.
11, 80
Factor 2*m**4/7 + 4*m**3/7 - 6*m**2/7 - 16*m/7 - 8/7.
2*(m - 2)*(m + 1)**2*(m + 2)/7
Solve -4*l**5 + 524*l**4 - 2056*l**3 + 3064*l**2 - 2036*l + 508 = 0 for l.
1, 127
Factor 5*o**4 - 2790*o**3 + 516120*o**2 - 31122410*o - 98088045.
5*(o - 187)**3*(o + 3)
Determine j so that 3*j**4 - 15*j**3 - 21*j**2 + 123*j - 90 = 0.
-3, 1, 2, 5
Factor -2*m**4/7 + 2356*m**3/7 - 2354*m**2/7.
-2*m**2*(m - 1177)*(m - 1)/7
Factor 4*k**3/9 + 12*k**2 + 32*k/3 - 208/9.
4*(k - 1)*(k + 2)*(k + 26)/9
Suppose -2*b**4 - 58*b**3 - 336*b**2 = 0. What is b?
-21, -8, 0
Find p, given that -3*p**4 - 6*p**3 + 96*p**2 - 90*p - 189 = 0.
-7, -1, 3
Find k, given that -3*k**3 - 387*k**2 + 11550*k = 0.
-154, 0, 25
Solve -2*v**4/17 + 72*v**3/17 - 378*v**2/17 + 540*v/17 = 0 for v.
0, 3, 30
Solve -q**5/4 + 25*q**4/4 + 41*q**3/2 + 14*q**2 = 0 for q.
-2, -1, 0, 28
Factor -2*x**3 + 346*x**2 + 698*x + 350.
-2*(x - 175)*(x + 1)**2
Find l, given that 3*l**3/5 - 6*l**2 + 24*l/5 + 192/5 = 0.
-2, 4, 8
Factor -h**5 + 36*h**4 - 420*h**3 + 1600*h**2.
-h**2*(h - 16)*(h - 10)**2
Factor -4*o**2/3 + 88*o/3 - 156.
-4*(o - 13)*(o - 9)/3
Solve z**2 - z - 210 = 0 for z.
-14, 15
Factor -2*j**4/5 + 8*j**3/5 + 62*j**2/5 - 28*j.
-2*j*(j - 7)*(j - 2)*(j + 5)/5
Suppose 2*s**5/5 + 28*s**4/5 - 1068*s**3/5 - 3352*s**2/5 - 3398*s/5 - 228 = 0. What is s?
-30, -1, 19
Factor -3*t**2 - 1566*t + 3144.
-3*(t - 2)*(t + 524)
Determine q, given that 2*q**4 - 56*q**3 + 154*q**2 - 100*q = 0.
0, 1, 2, 25
Solve q**3 + 268*q**2 = 0 for q.
-268, 0
Suppose 2*a**3/11 + 50*a**2/11 + 16*a + 168/11 = 0. What is a?
-21, -2
Solve 2*d**4 + 1352*d**3/3 + 25236*d**2 - 17176*d - 25538/3 = 0 for d.
-113, -1/3, 1
Factor 36*p**3 + 44*p**2 + 8*p.
4*p*(p + 1)*(9*p + 2)
Suppose -g**2 - 40*g = 0. Calculate g.
-40, 0
Let 4*c**3/7 - 8*c**2 + 176*c/7 - 160/7 = 0. Calculate c.
2, 10
Find b such that 3*b**4 + 97*b**3 - 169*b**2 + 35*b + 34 = 0.
-34, -1/3, 1
Find n such that 5*n**5 + 40*n**4 + 30*n**3 - 40*n**2 - 35*n = 0.
-7, -1, 0, 1
Factor 3*y**2 + 792*y + 52272.
3*(y + 132)**2
Factor -u**5/9 + 2*u**4/9 + 10*u**3/3 - 92*u**2/9 + 91*u/9 - 10/3.
-(u - 5)*(u - 1)**3*(u + 6)/9
Let -f**2 - 8*f - 15 = 0. Calculate f.
-5, -3
Factor f**3 + 150*f**2 - 153*f - 302.
(f - 2)*(f + 1)*(f + 151)
Solve 2*j**4 - 2*j**3 - 12*j**2 = 0 for j.
-2, 0, 3
Factor -5*r**3/2 - 45*r**2/2 - 115*r/2 - 75/2.
-5*(r + 1)*(r + 3)*(r + 5)/2
Solve 3*o**4 + 57*o**3 + 93*o**2 - 153*o = 0 for o.
-17, -3, 0, 1
Suppose 5774409*s**4 + 3820770*s**3 - 1943991*s**2 + 9636*s - 12 = 0. Calculate s.
-1, 2/801, 1/3
Solve n**4 + 17*n**3 - 7*n**2 - 113*n + 102 = 0.
-17, -3, 1, 2
Factor -4*s**3 - 152*s**2 - 636*s + 792.
-4*(s - 1)*(s + 6)*(s + 33)
Factor -2*l**3/5 + 14*l**2/5.
-2*l**2*(l - 7)/5
Factor z**5/2 + z**4 - 4*z**3.
z**3*(z - 2)*(z + 4)/2
Solve -2*m**4/3 - 14*m**3/3 + 6*m**2 + 14*m/3 - 16/3 = 0 for m.
-8, -1, 1
Factor 2*d**3 + 208*d**2/3 - 70*d/3.
2*d*(d + 35)*(3*d - 1)/3
Determine c, given that -9*c**5/7 - 195*c**4/7 + 612*c**3/7 + 2652*c**2/7 + 1440*c/7 = 0.
-24, -2, -2/3, 0, 5
What is m in m**2 + 8124*m + 16499844 = 0?
-4062
Determine b so that 49*b**3/5 - 56*b**2/5 + 16*b/5 = 0.
0, 4/7
Factor -4*n**3 + 212*n**2 - 3360*n + 16704.
-4*(n - 29)*(n - 12)**2
Determine l so that 4*l**3 + 544*l**2 - 4544*l + 9216 = 0.
-144, 4
Factor -2*y**2/9 + 52*y/9 - 338/9.
-2*(y - 13)**2/9
Solve -2*l**2/9 - 36160*l/9 - 163443200/9 = 0.
-9040
Determine f, given that -4*f**3 - 108*f**2 = 0.
-27, 0
Factor -5*f**3 + 485*f**2 - 2755*f + 2275.
-5*(f - 91)*(f - 5)*(f - 1)
Factor y**3/5 - 4*y**2/5 - 11*y/5 - 6/5.
(y - 6)*(y + 1)**2/5
Suppose -5*l**2 - 435*l + 2300 = 0. What is l?
-92, 5
Let 4*z**2 + 92*z + 360 = 0. Calculate z.
-18, -5
Factor 3*t**3 - 15642*t**2 + 27185796*t - 15749637816.
3*(t - 1738)**3
Determine x so that 26*x**2/3 - 8*x - 2/3 = 0.
-1/13, 1
Find j, given that 2*j**3/9 - 1594*j**2/9 + 315200*j/9 + 320000/3 = 0.
-3, 400
Factor 61*q**3/7 + 303*q**2/7 - 10*q/7.
q*(q + 5)*(61*q - 2)/7
Determine n so that 5*n**4 - 50*n**3 - 5*n**2 + 50*n = 0.
-1, 0, 1, 10
What is z in -2*z**3/13 + 30*z**2/13 - 112*z/13 + 120/13 = 0?
2, 3, 10
Factor 12*l**3 - 75*l**2 + 126*l - 27.
3*(l - 3)**2*(4*l - 1)
Factor -135*z**2 + 10*z.
-5*z*(27*z - 2)
Factor 2*t**4/3 + 40*t**3/3 - 98*t**2 + 156*t.
2*t*(t - 3)**2*(t + 26)/3
Suppose -48668*v**4 + 11638*v**3 + 121095*v**2 + 181521*v/2 + 19683 = 0. What is v?
-27/46, 2
Factor 5*k**3 + 13680*k**2 + 12476160*k + 3792752640.
5*(k + 912)**3
Suppose -4*n**4 + 64*n**3 - 296*n**2 + 224*n + 588 = 0. Calculate n.
-1, 3, 7
Find u, given that 5*u**4 - 110*u**3 + 280*u**2 + 110*u - 285 = 0.
-1, 1, 3, 19
Find i such that -4*i**2 + 280*i + 284 = 0.
-1, 71
Suppose -30*x**4/7 + 62*x**3 - 192*x**2/7 - 8*x = 0. Calculate x.
-1/5, 0, 2/3, 14
Find b such that -2*b**5 - 6*b**4 - 2*b**3 + 6*b**2 + 4*b = 0.
-2, -1, 0, 1
Determine u, given that -4*u**3 - 5088*u**2 - 2157312*u - 304900096 = 0.
-424
Determine h, given that 10*h**5/7 + 186*h**4/7 + 52*h**3 - 936*h**2/7 - 1616*h/7 + 768/7 = 0.
-16, -3, -2, 2/5, 2
Let 125*l**4 - 395*l**3 + 310*l**2 - 40*l = 0. Calculate l.
0, 4/25, 1, 2
Factor -3*x**4 - 114*x**3 - 483*x**2 + 12696*x.
-3*x*(x - 8)*(x + 23)**2
Find s, given that 2*s**5 + 42*s**4 - 782*s**3 - 2578*s**2 - 2652*s - 896 = 0.
-32, -1, 14
Find j, given that -14*j**4/3 - 134*j**3 + 130*j**2/3 + 134*j - 116/3 = 0.
-29, -1, 2/7, 1
Factor 5*h**3 + 1595*h**2 - 1600*h.
5*h*(h - 1)*(h + 320)
Factor 3*d**3 + 273*d**2 - 276*d.
3*d*(d - 1)*(d + 92)
Factor -106032*g**2/7 - 3384*g/7 - 27/7.
-3*(188*g + 3)**2/7
Factor -100*p**4 + 159280*p**3 - 127376*p**2 + 25472*p.
-4*p*(p - 1592)*(5*p - 2)**2
Factor -5*z**3/2 + 5*z**2/2 + 1925*z/2 + 13915/2.
-5*(z - 23)*(z + 11)**2/2
Find i such that -2*i**2 + 1656*i - 342792 = 0.
414
What is u in -2*u**3/3 - 8*u**2/3 - 2*u = 0?
-3,