4, 3
Factor -5*h**2 - 500*h + 505.
-5*(h - 1)*(h + 101)
Determine u, given that -5*u**2 + 1090*u - 59405 = 0.
109
What is f in f**2/7 - 5176*f/7 + 6697744/7 = 0?
2588
Factor -u**3/12 - 233*u**2/3 - 54289*u/3.
-u*(u + 466)**2/12
Factor -3*m**3 - 9*m**2 + 3*m + 9.
-3*(m - 1)*(m + 1)*(m + 3)
Determine t so that -18*t**2 + 1509*t + 252 = 0.
-1/6, 84
Determine o so that -845*o**3 - 1495*o**2 + 2800*o - 960 = 0.
-3, 8/13
Factor c**3/3 + 1310*c**2/3 + 429025*c/3.
c*(c + 655)**2/3
Find p, given that p**4/4 + 15*p**3/4 - 9*p**2/2 - 8*p = 0.
-16, -1, 0, 2
Factor 45*h**4 - 42*h**3 - 3*h**2.
3*h**2*(h - 1)*(15*h + 1)
Factor 20*a**2 - 4*a - 24.
4*(a + 1)*(5*a - 6)
Find i such that -i**2/2 - 5*i/2 = 0.
-5, 0
Factor 2*y**2/3 + 670*y - 4028/3.
2*(y - 2)*(y + 1007)/3
Determine m so that 3*m**3 - 69*m**2 + 408*m - 720 = 0.
4, 15
Determine q so that 10*q**4/23 + 244*q**3/23 + 746*q**2/23 + 680*q/23 + 168/23 = 0.
-21, -2, -1, -2/5
Factor -2*y**2/5 + 12*y/5 - 18/5.
-2*(y - 3)**2/5
Factor 2*l**4/21 + 40*l**3/21 + 236*l**2/21 + 120*l/7 + 54/7.
2*(l + 1)**2*(l + 9)**2/21
Determine y so that -3*y**5/2 + 39*y**4/2 + 153*y**3 + 330*y**2 + 228*y = 0.
-2, 0, 19
Find v such that -v**4/6 - 6*v**3 - 32*v**2/3 + 24*v + 136/3 = 0.
-34, -2, 2
Determine h, given that -2*h**5/5 + 68*h**4/3 - 182*h**3/5 - 44*h**2/3 = 0.
-1/3, 0, 2, 55
What is n in n**3 - 34*n**2 + 320*n - 512 = 0?
2, 16
Suppose -2*b**4 - 54*b**3 - 366*b**2 + 286*b + 4056 = 0. What is b?
-13, -4, 3
Factor -2*f**4/7 + 26*f**3/7 - 110*f**2/7 + 150*f/7.
-2*f*(f - 5)**2*(f - 3)/7
Factor -3*g**4 - 3*g**3.
-3*g**3*(g + 1)
Solve -5*z**4 - 225*z**3 + 465*z**2 - 235*z = 0.
-47, 0, 1
Factor -4*p**2 - 512*p + 2112.
-4*(p - 4)*(p + 132)
Let 5*d**3 - 683*d**2 - 2374*d - 840 = 0. Calculate d.
-3, -2/5, 140
Factor -2*d**3/9 - 106*d**2/9 - 1240*d/9 - 2072/9.
-2*(d + 2)*(d + 14)*(d + 37)/9
Solve -22*l**3/21 - 4*l**2/21 = 0.
-2/11, 0
What is o in o**2/2 - 5*o/2 - 3 = 0?
-1, 6
Factor 5*g**2 + 5*g - 10.
5*(g - 1)*(g + 2)
Factor -15*q**2/2 - 77*q/2 - 5.
-(q + 5)*(15*q + 2)/2
Suppose i**2 + 1038*i + 269361 = 0. What is i?
-519
Factor 3*c**4 - 42*c**3 + 147*c**2 - 108*c.
3*c*(c - 9)*(c - 4)*(c - 1)
Solve -6*u**5 - 309*u**4 - 4203*u**3 - 5775*u**2 - 1875*u = 0 for u.
-25, -1, -1/2, 0
Determine d so that -2*d**3/13 - 8*d**2 - 1800*d/13 - 10368/13 = 0.
-18, -16
Factor 4*w**2 + 8*w - 12.
4*(w - 1)*(w + 3)
Let -u**3/7 - 51*u**2/7 - 864*u/7 - 4860/7 = 0. Calculate u.
-18, -15
Factor 5*m**3 + 290*m**2 - 6435*m + 30780.
5*(m - 9)**2*(m + 76)
Factor -j**4 + 598*j**3 - 89401*j**2.
-j**2*(j - 299)**2
Solve p**3/4 - 203*p**2/4 + 10403*p/4 - 10201/4 = 0 for p.
1, 101
Solve 34*h**5 - 4*h**4 - 748*h**3 - 728*h**2 + 1626*h - 180 = 0.
-3, 2/17, 1, 5
Find c, given that -58*c**4 - 4*c**3 + 406*c**2 - 320*c - 24 = 0.
-3, -2/29, 1, 2
Factor 3*c**3/7 - 102*c**2/7 + 624*c/7.
3*c*(c - 26)*(c - 8)/7
Determine t so that 9*t**4/8 + 39*t**3/8 - 33*t**2/8 - 15*t/8 = 0.
-5, -1/3, 0, 1
Factor n**5/6 + n**4/3 - n**2/3 - n/6.
n*(n - 1)*(n + 1)**3/6
Suppose 2*i**2 + 1440*i + 259200 = 0. Calculate i.
-360
Factor 3*f**4 - 12*f**3 - 3*f**2 + 12*f.
3*f*(f - 4)*(f - 1)*(f + 1)
Factor m**3/6 + 53*m**2/6 + 225*m/2 - 243/2.
(m - 1)*(m + 27)**2/6
Factor -3*s**2/4 - 30*s - 333/4.
-3*(s + 3)*(s + 37)/4
Solve 2*g**5/17 = 0 for g.
0
Factor f**2 - 3575*f - 3576.
(f - 3576)*(f + 1)
What is t in -t**3 + 8*t**2/3 + 11*t + 10/3 = 0?
-2, -1/3, 5
Factor -j**4 + 4*j**3 + 65*j**2 + 132*j.
-j*(j - 11)*(j + 3)*(j + 4)
Let -3*s**4 + 18*s**3 - 15*s**2 = 0. Calculate s.
0, 1, 5
Suppose -4*q**5 + 168*q**3 + 608*q**2 + 732*q + 288 = 0. Calculate q.
-3, -1, 8
Solve -2*r**4 + 590*r**3/9 - 148*r**2/3 - 128*r/9 = 0.
-2/9, 0, 1, 32
Solve 4*u**3 + 32*u**2 - 176*u + 192 = 0 for u.
-12, 2
Factor 5*x**2 + 95*x + 170.
5*(x + 2)*(x + 17)
Factor 3*s**4 + 9*s**3 + 9*s**2 + 3*s.
3*s*(s + 1)**3
Find x, given that 4*x**5/5 + 236*x**4/5 - 1012*x**3/5 - 236*x**2/5 + 1008*x/5 = 0.
-63, -1, 0, 1, 4
Solve 2*p**5/9 + 2*p**4/9 - 8*p**3/9 - 8*p**2/9 = 0 for p.
-2, -1, 0, 2
Determine k so that 3*k**2/4 - 300*k + 1197/4 = 0.
1, 399
Factor i**5 - 63*i**4 - 1095*i**3 - 5725*i**2 - 9750*i.
i*(i - 78)*(i + 5)**3
Factor -2*y**2/9 - 364*y/9 - 362/9.
-2*(y + 1)*(y + 181)/9
Solve 2*b**4 - 32*b**3 + 90*b**2 + 324*b = 0.
-2, 0, 9
Factor 2*l**3/15 + 14*l**2/5 - 28*l/3 + 32/5.
2*(l - 2)*(l - 1)*(l + 24)/15
Find n such that -21*n**5/2 + 2309*n**4/2 - 6699*n**3/2 + 6983*n**2/2 - 1500*n + 214 = 0.
2/7, 2/3, 1, 107
Let 30*i**2/7 + 348*i/7 - 144/7 = 0. What is i?
-12, 2/5
Find l, given that l**5 + 93*l**4 + 359*l**3 + 263*l**2 - 360*l - 356 = 0.
-89, -2, -1, 1
Factor -3*w**4 + 396*w**3 - 12666*w**2 - 26532*w - 13467.
-3*(w - 67)**2*(w + 1)**2
Factor -8*l**2 - 95*l + 12.
-(l + 12)*(8*l - 1)
Find o, given that 3*o**5 - 3*o**4 - 183*o**3 + 687*o**2 - 828*o + 324 = 0.
-9, 1, 2, 6
Suppose i**4/4 + 3*i**3/4 - 8*i**2 + 15*i - 8 = 0. Calculate i.
-8, 1, 2
Factor 5*j**4 - 30*j**3 + 45*j**2 + 20*j - 60.
5*(j - 3)*(j - 2)**2*(j + 1)
Factor -3*i**2 - 15*i + 108.
-3*(i - 4)*(i + 9)
Suppose -20*w**3/7 - 228*w**2/7 - 288*w/7 - 80/7 = 0. Calculate w.
-10, -1, -2/5
Factor -3*m**3/7 - 18*m**2/7 - 15*m/7 + 36/7.
-3*(m - 1)*(m + 3)*(m + 4)/7
Find n, given that 35*n**4 + 65*n**3 + 25*n**2 - 5*n = 0.
-1, 0, 1/7
Let i**4 - 27*i**3 + 129*i**2 - 53*i - 210 = 0. Calculate i.
-1, 2, 5, 21
Suppose -4*d**2 + 520*d + 524 = 0. Calculate d.
-1, 131
Factor -2*b**2/7 + 4*b - 14.
-2*(b - 7)**2/7
Factor 3*n**3 - 381*n**2 + 11904*n + 12288.
3*(n - 64)**2*(n + 1)
Let 8*k**4/13 - 154*k**3/13 - 178*k**2/13 + 324*k/13 = 0. Calculate k.
-2, 0, 1, 81/4
Factor -3*c**4 + 1116*c**3 - 138384*c**2 + 5719872*c.
-3*c*(c - 124)**3
Suppose -5*k**2 - 152*k - 60 = 0. What is k?
-30, -2/5
Factor i**3/2 - 2079*i**2 + 2881494*i - 1331250228.
(i - 1386)**3/2
Factor a**4 - 29*a**3 - 35*a**2 + 153*a - 90.
(a - 30)*(a - 1)**2*(a + 3)
Factor -3*k**3 + 624*k**2.
-3*k**2*(k - 208)
Solve k**2/11 - 8*k/11 - 9/11 = 0.
-1, 9
Factor -2*d**2/3 + 14*d/3 - 8.
-2*(d - 4)*(d - 3)/3
What is i in -2*i**5/13 - 6*i**4/13 + 8*i**3/13 + 32*i**2/13 - 32/13 = 0?
-2, 1, 2
Let -20*h**3 - 65*h**2 + 65*h + 20 = 0. What is h?
-4, -1/4, 1
Factor -2*j**2/13 + 168*j/13 - 3478/13.
-2*(j - 47)*(j - 37)/13
Determine v, given that 25*v**4/2 + 20*v**3 - 283*v**2/2 - 89*v - 12 = 0.
-4, -2/5, -1/5, 3
Factor 12*h**4 - 81*h**3 + 150*h**2 - 72*h.
3*h*(h - 4)*(h - 2)*(4*h - 3)
Find s such that 2*s**3 - 12*s**2 - 74*s - 60 = 0.
-3, -1, 10
What is w in 9*w**5 - 33*w**4 - 45*w**3 + 285*w**2 - 324*w + 108 = 0?
-3, 2/3, 1, 2, 3
Factor 52*q**2 - 56*q + 4.
4*(q - 1)*(13*q - 1)
Factor -3*w**3/5 - 18*w**2/5 - 27*w/5.
-3*w*(w + 3)**2/5
Suppose 11*z**2/3 + z/2 = 0. What is z?
-3/22, 0
Factor -3*z**3/4 - 243*z**2 - 26244*z - 944784.
-3*(z + 108)**3/4
Find o such that -4*o**2 + 1156*o + 2328 = 0.
-2, 291
Factor c**4/2 - c**3/2 - 6*c**2 + 14*c - 8.
(c - 2)**2*(c - 1)*(c + 4)/2
Factor 3*t**4 - 27*t**3 - 228*t**2 + 252*t.
3*t*(t - 14)*(t - 1)*(t + 6)
Determine y, given that 2*y**3/5 - 194*y**2/5 + 5152*y/5 - 4232 = 0.
5, 46
Factor g**3 + 249*g**2 + 2880*g + 8532.
(g + 6)**2*(g + 237)
Factor -3*p**4/5 - 396*p**3/5 - 17424*p**2/5 - 255552*p/5.
-3*p*(p + 44)**3/5
Suppose 82*u**3/15 - 326*u**2/15 + 64*u/3 + 8/15 = 0. What is u?
-1/41, 2
Solve -2*a**5/11 - 62*a**4/11 - 448*a**3/11 + 512*a**2/11 = 0 for a.
-16, 0, 1
Factor -5*i**2 + 10*i - 5.
-5*(i - 1)**2
Factor -n**3/3 + 59*n**2/3 - 58*n/3.
-n*(n - 58)*(n - 1)/3
Determine t, given that -2*t**2/5 + 10428*t/5 - 13592898/5 = 0.
2607
Factor 14*w**2 + 13976*w + 3992.
2*(w + 998)*(7*w + 2)
Factor v**4/3 - 55*v**3/3 + 244*v**2/3 + 100*v.
v*(v - 50)*(v - 6)*(v + 1)/3
Suppose 6*d**5/5 - 44*d**4/5 + 10*d**3 - 12*d**2/5 = 0. What is d?
0, 1/3, 1, 6
Factor i**3 + 6*i**2 - 31*i - 120.
(i - 5)*(i + 3)*(i + 8)
Factor s**3/2 + 71*s**2/2 + 103*s + 68.
(s + 1)*(s + 2)*(s + 68)/2
Factor -3*z**5 - 72*z**4 - 675*z**3 - 3078*z**2 - 6804*z - 5832.
-3*(z + 3)**2*(z + 6)**3
Factor -36300*b**3 - 399960*b**2 - 7263*b - 33.
-3*(b + 11)*(110*b + 1)**2
Factor 2*x**3/5 - 1856*x**2/5 + 430592*x/5.
2*x*(x - 464)**2/5
Solve 7*d**3 - 26*d**2 + 20*d + 8 = 0 for d.
-2/7, 2
Factor 5*m**4/3 + 2015*m**3/3 + 2005*m**2 + 6005*m/3 + 2000/3.
5*(m + 1)**3*(m + 400)/3
Determine d, given that -3*d**2 + 366*d - 363 = 0.
1, 121
Solve 7*a**2/8 + 3*a/4 - 